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1 class
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_None
val va_Mod_None : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_None = Mod_None
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 45, "end_line": 26, "start_col": 19, "start_line": 26 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_None" ]
[]
false
false
false
true
false
let va_Mod_None =
Mod_None
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_ok
val va_Mod_ok : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_ok = Mod_ok
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 41, "end_line": 27, "start_col": 19, "start_line": 27 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_ok" ]
[]
false
false
false
true
false
let va_Mod_ok =
Mod_ok
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_reg
val va_Mod_reg : r: Vale.PPC64LE.Machine_s.reg -> Vale.PPC64LE.QuickCode.mod_t
let va_Mod_reg (r:reg) = Mod_reg r
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 53, "end_line": 28, "start_col": 19, "start_line": 28 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
r: Vale.PPC64LE.Machine_s.reg -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Machine_s.reg", "Vale.PPC64LE.QuickCode.Mod_reg", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_Mod_reg (r: reg) =
Mod_reg r
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_vec
val va_Mod_vec : v: Vale.PPC64LE.Machine_s.vec -> Vale.PPC64LE.QuickCode.mod_t
let va_Mod_vec (v:vec) = Mod_vec v
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 53, "end_line": 29, "start_col": 19, "start_line": 29 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
v: Vale.PPC64LE.Machine_s.vec -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Machine_s.vec", "Vale.PPC64LE.QuickCode.Mod_vec", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_Mod_vec (v: vec) =
Mod_vec v
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_mem
val va_Mod_mem : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_mem = Mod_mem
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 32, "start_col": 19, "start_line": 32 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_mem" ]
[]
false
false
false
true
false
let va_Mod_mem =
Mod_mem
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_cr0
val va_Mod_cr0 : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_cr0 = Mod_cr0
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 30, "start_col": 19, "start_line": 30 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_cr0" ]
[]
false
false
false
true
false
let va_Mod_cr0 =
Mod_cr0
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_mem_heaplet
val va_Mod_mem_heaplet : n: Vale.PPC64LE.Decls.heaplet_id -> Vale.PPC64LE.QuickCode.mod_t
let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 76, "end_line": 34, "start_col": 19, "start_line": 34 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
n: Vale.PPC64LE.Decls.heaplet_id -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.heaplet_id", "Vale.PPC64LE.QuickCode.Mod_mem_heaplet", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_Mod_mem_heaplet (n: heaplet_id) =
Mod_mem_heaplet n
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_mem_layout
val va_Mod_mem_layout : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_mem_layout = Mod_mem_layout
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 33, "start_col": 19, "start_line": 33 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_mem_layout" ]
[]
false
false
false
true
false
let va_Mod_mem_layout =
Mod_mem_layout
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_stack
val va_Mod_stack : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_stack = Mod_stack
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 47, "end_line": 35, "start_col": 19, "start_line": 35 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_stack" ]
[]
false
false
false
true
false
let va_Mod_stack =
Mod_stack
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_stackTaint
val va_Mod_stackTaint : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_stackTaint = Mod_stackTaint
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 36, "start_col": 19, "start_line": 36 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_stackTaint" ]
[]
false
false
false
true
false
let va_Mod_stackTaint =
Mod_stackTaint
false
Vale.AES.X64.GCMencryptOpt.fst
Vale.AES.X64.GCMencryptOpt.va_wpProof_Gcm_blocks
val va_wpProof_Gcm_blocks : alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
val va_wpProof_Gcm_blocks : alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
let va_wpProof_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks (va_code_Gcm_blocks alg offset) va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
{ "file_name": "obj/Vale.AES.X64.GCMencryptOpt.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 3123, "start_col": 0, "start_line": 3095 }
module Vale.AES.X64.GCMencryptOpt open Vale.Def.Prop_s open Vale.Def.Opaque_s open FStar.Seq open Vale.Def.Words_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_s open Vale.AES.GCTR_s open Vale.AES.GCTR open Vale.AES.GCM open Vale.AES.GHash_s open Vale.AES.GHash open Vale.AES.GCM_s open Vale.AES.X64.AES open Vale.AES.GF128_s open Vale.AES.GF128 open Vale.Poly1305.Math open Vale.AES.GCM_helpers open Vale.AES.X64.GHash open Vale.AES.X64.GCTR open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsVector open Vale.X64.InsStack open Vale.X64.InsAes open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.AES.X64.GF128_Mul open Vale.X64.Stack open Vale.X64.CPU_Features_s open Vale.Math.Poly2.Bits_s open Vale.AES.X64.AESopt open Vale.AES.X64.AESGCM open Vale.AES.X64.AESopt2 open Vale.Lib.Meta open Vale.AES.OptPublic open Vale.Lib.Basic #reset-options "--z3rlimit 20" //-- Gctr_register [@ "opaque_to_smt" va_qattr] let va_code_Gctr_register alg = (va_Block (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_CCons (va_code_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_register alg = (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_register (va_mods:va_mods_t) (alg:algorithm) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_register alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 141 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR_s.inc32 (va_get_xmm 0 va_s) 0 == va_get_xmm 0 va_s) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 142 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (va_get_xmm 0 va_s) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (alg_10639:Vale.AES.AES_common_s.algorithm) (key_10640:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (input_LE_10641:Vale.Def.Types_s.quad32) -> Vale.AES.AES_s.is_aes_key_LE alg_10639 key_10640) alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 147 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 148 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> let (va_arg18:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg17:Vale.AES.AES_common_s.algorithm) = alg in let (va_arg16:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s) in let (va_arg15:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_encrypt_one_block va_arg15 va_arg16 va_arg17 va_arg18) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_register va_b0 va_s0 alg key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gctr_register va_mods alg key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_register alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 119 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 138 column 136 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.create #quad32 1 (va_get_xmm 8 va_sM)) == Vale.AES.GCTR_s.gctr_encrypt_LE (va_get_xmm 0 va_s0) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0))) alg key) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 139 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block (va_get_xmm 0 va_s0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) alg key 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_register alg key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_register (va_code_Gctr_register alg) va_s0 alg key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rR12 va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))))); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gctr_blocks128_body0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_body0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_body0 alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_CCons (va_code_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_CNil ())))))))))))) val va_codegen_success_Gctr_blocks128_body0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_body0 alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_ttrue ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 249 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 250 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 251 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 252 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 254 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret in_b (va_get_reg64 rRbx va_s)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 255 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 256 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret out_b (va_get_reg64 rRbx va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 258 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 259 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 260 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 261 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_QEmpty (())))))))))))))) val va_lemma_Gctr_blocks128_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_body0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_body0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_body0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_body0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 245 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_body0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_body0 (va_code_Gctr_blocks128_body0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (va_QProc (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128_while0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_while0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_while0 alg = (va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (va_Block (va_CCons (va_code_Gctr_blocks128_body0 alg) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Gctr_blocks128_while0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_while0 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128_body0 alg) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (fun va_g -> qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_body0 va_old alg in_b key keys_b out_b plain_quads round_keys) (va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_get_ok va_s /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s /\ va_get_reg64 rRbx va_s <= va_get_reg64 rRdx va_s) /\ va_get_reg64 rR11 va_s == va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_reg64 rR10 va_s == va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_xmm 11 va_s == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s) /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRax va_s) in_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) out_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b /\ (va_get_reg64 rRbx va_s =!= va_get_reg64 rRdx va_s ==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b) (va_get_reg64 rRbx va_s) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b)) /\ va_get_reg64 rRdx va_s < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b) key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) out_b)) (fun (va_s:va_state) va_g -> va_get_reg64 rRdx va_s - va_get_reg64 rRbx va_s) (())) (fun (va_s:va_state) va_g -> let va_g = () in va_QEmpty (())))) val va_lemma_Gctr_blocks128_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_while0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_while0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_while0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_while0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_while0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_while0 (va_code_Gctr_blocks128_while0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (va_QProc (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128 #push-options "--z3rlimit 30" [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128 alg = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 10)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Gctr_blocks128_while0 alg) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128 alg = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Gctr_blocks128_while0 alg) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 204 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (fun (va_s:va_state) _ -> let (plain_quads:(seq quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 211 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_while0 va_old_s alg in_b key keys_b out_b plain_quads round_keys) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 263 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gctr_blocks128 va_mods alg in_b out_b key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 195 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 198 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 199 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 200 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128 alg in_b out_b key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128 (va_code_Gctr_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Gcm_blocks128 val va_code_Gcm_blocks128 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks128 alg = (va_Block (va_CCons (va_code_Gctr_blocks128 alg) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_blocks128 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks128 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128 alg) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 323 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128 alg in_b out_b key round_keys keys_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 329 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b out_b h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s))) (va_QEmpty (()))))) val va_lemma_Gcm_blocks128 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks128 alg) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks128 va_mods alg in_b out_b key round_keys keys_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 266 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 315 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 316 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 319 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 321 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_rdx:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm11:quad32) (va_x_xmm10:quad32) (va_x_heap1:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks128 : alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks128 (va_code_Gcm_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (va_QProc (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) (va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE) (va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE)) //-- //-- Gcm_auth_bytes val va_code_Gcm_auth_bytes : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_auth_bytes () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 8)) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_auth_bytes : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_auth_bytes () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 8)) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_auth_bytes (va_mods:va_mods_t) (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 399 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 8)) (fun (va_s:va_state) _ -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 401 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_reverse_bytes_quad32_zero ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 402 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b auth_b h_LE y_0) (fun (va_s:va_state) _ -> let (y_auth:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 404 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (va_QEmpty ((y_0, y_auth)))))))) val va_lemma_Gcm_auth_bytes : va_b0:va_code -> va_s0:va_state -> auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel & quad32 & quad32) (requires (va_require_total va_b0 (va_code_Gcm_auth_bytes ()) va_s0 /\ va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051))) (ensures (fun (va_sM, va_fM, y_0, y_auth) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) /\ va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_auth_bytes va_b0 va_s0 auth_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_auth_bytes va_mods auth_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_auth_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let (y_0, y_auth) = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 332 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 389 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 390 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 391 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 392 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let (y_0, y_auth) = va_g in (va_sM, va_fM, y_0, y_auth) [@ va_qattr] let va_wp_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & quad32) -> Type0)) : Type0 = (va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_rdx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (y_0:quad32) (y_auth:quad32) . let va_sM = va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_flags va_x_efl (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRdx va_x_rdx va_s0)))))))))))) in va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) ==> va_k va_sM ((y_0, y_auth)))) val va_wpProof_Gcm_auth_bytes : auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> (quad32 & quad32) -> Type0) -> Ghost (va_state & va_fuel & (quad32 & quad32)) (requires (va_t_require va_s0 /\ va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, y_0, y_auth) = va_lemma_Gcm_auth_bytes (va_code_Gcm_auth_bytes ()) va_s0 auth_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (y_0, y_auth) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (va_QProc (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) (va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE) (va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE)) //-- //-- Gcm_make_length_quad [@ "opaque_to_smt" va_qattr] let va_code_Gcm_make_length_quad () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_make_length_quad () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_make_length_quad (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gcm_make_length_quad ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 424 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 425 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 426 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 427 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 428 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 429 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 430 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_make_length_quad va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gcm_make_length_quad va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_make_length_quad ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 407 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 418 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR13 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 419 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR11 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 138 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_sM == Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rR11 va_s0) 1) (8 `op_Multiply` va_get_reg64 rR13 va_s0) 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gcm_make_length_quad va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_make_length_quad (va_code_Gcm_make_length_quad ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRax va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Compute_pad_to_128_bits val va_code_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_pad_to_128_bits () = (va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (va_Block (va_CCons (va_code_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_CNil ()))))))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (va_CNil ())))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_pad_to_128_bits () = (va_pbool_and (va_pbool_and (va_codegen_success_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1)))))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_pad_to_128_bits (va_mods:va_mods_t) : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 446 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 447 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 454 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg51) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 455 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` va_get_reg64 rR10 va_s) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 456 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 457 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 458 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 459 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (fun (va_s:va_state) _ -> let (old_lower128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 461 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = old_lower128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 462 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg49 va_arg50) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 463 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == old_lower128 `op_Modulus` Prims.pow2 (va_get_reg64 rR10 va_s `op_Multiply` 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 466 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 468 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 469 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg48:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 470 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_lower va_arg47 va_arg48) (va_QEmpty (()))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 472 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 475 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 476 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg56) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 478 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` (va_get_reg64 rR10 va_s - 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 479 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 480 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 481 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 482 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (fun (va_s:va_state) _ -> let (old_upper128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 484 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in let (va_arg54:Vale.Def.Types_s.nat64) = old_upper128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg54 va_arg55) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 489 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 490 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 491 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg53:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg52:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 492 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_upper va_arg52 va_arg53) (va_QEmpty (())))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))) val va_lemma_Compute_pad_to_128_bits : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_pad_to_128_bits ()) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_Compute_pad_to_128_bits va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Compute_pad_to_128_bits va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_pad_to_128_bits ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 434 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 443 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 444 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_pad_to_128_bits (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)) /\ (forall (va_x_xmm0:quad32) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_xmm 0 va_x_xmm0 va_s0))) in va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) ==> va_k va_sM (()))) val va_wpProof_Compute_pad_to_128_bits : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_pad_to_128_bits va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_pad_to_128_bits va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_pad_to_128_bits (va_code_Compute_pad_to_128_bits ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_pad_to_128_bits () : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (va_QProc (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_wp_Compute_pad_to_128_bits va_wpProof_Compute_pad_to_128_bits) //-- //-- Ghash_extra_bytes [@ "opaque_to_smt" va_qattr] let va_code_Ghash_extra_bytes () = (va_Block (va_CCons (va_code_Compute_pad_to_128_bits ()) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Ghash_register ()) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_extra_bytes () = (va_pbool_and (va_codegen_success_Compute_pad_to_128_bits ()) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_extra_bytes (va_mods:va_mods_t) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (h_LE:quad32) (completed_quads:(seq quad32)) : (va_quickCode unit (va_code_Ghash_extra_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (final_quad:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 540 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Compute_pad_to_128_bits ()) (fun (va_s:va_state) _ -> let (final_quad_padded:quad32) = va_get_xmm 0 va_s in let (y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 544 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 546 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_prev) (fun (va_s:va_state) _ -> let (va_arg29:Prims.nat) = total_bytes in let (va_arg28:Vale.Def.Types_s.quad32) = final_quad_padded in let (va_arg27:Vale.Def.Types_s.quad32) = final_quad in let (va_arg26:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = completed_quads in let (va_arg25:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg24:Vale.Def.Types_s.quad32) = old_hash in let (va_arg23:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 548 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental_bytes_extra_helper_alt va_arg23 va_arg24 y_prev va_arg25 va_arg26 va_arg27 va_arg28 va_arg29) (va_QEmpty (()))))))) [@"opaque_to_smt"] let va_lemma_Ghash_extra_bytes va_b0 va_s0 hkeys_b total_bytes old_hash h_LE completed_quads = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Ghash_extra_bytes va_mods hkeys_b total_bytes old_hash h_LE completed_quads in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_extra_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 496 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 532 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (FStar.Seq.Base.create #quad32 1 (va_get_xmm 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 533 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 534 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 535 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 537 column 102 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (total_bytes > 0 ==> l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_extra_bytes (va_code_Ghash_extra_bytes ()) va_s0 hkeys_b total_bytes old_hash h_LE completed_quads in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gcm_extra_bytes val va_code_Gcm_extra_bytes : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_extra_bytes alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CNil ()))))))))) val va_codegen_success_Gcm_extra_bytes : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_extra_bytes alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Ghash_extra_bytes ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_extra_bytes (va_mods:va_mods_t) (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (len:(va_int_range 1 1)) = 1 in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 618 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 619 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 620 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 621 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 623 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 4 va_s in let (va_arg33:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 624 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg33 va_arg34) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 625 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (hash_input:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 630 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 632 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) (FStar.Seq.Base.create #quad32 1 hash_input)) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 633 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))))))) val va_lemma_Gcm_extra_bytes : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_extra_bytes alg) va_s0 /\ va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_extra_bytes va_b0 va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_extra_bytes va_mods alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_extra_bytes alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 552 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (len:(va_int_range 1 1)) = 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 603 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 606 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 609 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 610 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 611 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 612 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 615 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads)))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes) /\ (forall (va_x_mem:vale_heap) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_heap5:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_mem va_x_mem va_s0))))))))))))) in va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) ==> va_k va_sM (()))) val va_wpProof_Gcm_extra_bytes : alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_extra_bytes (va_code_Gcm_extra_bytes alg) va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (va_QProc (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) (va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE) (va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE)) //-- //-- Gcm_blocks_auth [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_auth () = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_CCons (va_code_Gcm_auth_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_auth () = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Gcm_auth_bytes ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Ghash_extra_bytes ())))) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_auth (va_mods:va_mods_t) (auth_b:buffer128) (abytes_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode ((seq quad32)) (va_code_Gcm_blocks_auth ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 704 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 705 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 708 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (fun (va_s:va_state) _ -> let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 717 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_auth_bytes auth_b hkeys_b h_LE) (fun (va_s:va_state) va_g -> let ((y_0:quad32), (y_auth:quad32)) = va_g in let (y_auth_bytes:quad32) = y_auth in let (auth_quad_seq_len:(va_int_range 0 18446744073709551615)) = va_if (va_get_reg64 rRsi va_old_s <= FStar.Seq.Base.length #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b))) (fun _ -> va_get_reg64 rRsi va_old_s) (fun _ -> 0) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 721 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len) (fun _ -> let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 (Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len)) in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in let (va_arg52:Vale.Def.Types_s.quad32) = y_auth in let (va_arg51:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 724 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_bytes_pure_no_extra va_arg51 va_arg52 h_LE va_arg53 va_arg54) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 727 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 728 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_le_seq_quad32_to_bytes_length va_arg50) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 731 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 733 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 735 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret abytes_b 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 736 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 737 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 738 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s == va_get_reg64 rRsi va_old_s `op_Modulus` 16) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 743 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b (va_get_reg64 rRsi va_s) y_0 h_LE (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.create #Vale.X64.Decls.quad32 1 (Vale.X64.Decls.buffer128_read abytes_b 0 (va_get_mem_heaplet 7 va_s))) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) abytes_b)) (let y_auth_bytes = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) abytes_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 748 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s)) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s) in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in va_QEmpty ((auth_quad_seq, y_auth_bytes)))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_quad_seq, y_auth_bytes))))) (fun (va_s:va_state) va_g -> let ((auth_quad_seq:(seq quad32)), (y_auth_bytes:quad32)) = va_g in va_QEmpty ((auth_quad_seq)))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks_auth va_b0 va_s0 auth_b abytes_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_blocks_auth va_mods auth_b abytes_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_auth ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let auth_quad_seq = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 636 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 683 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 684 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 689 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 693 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 694 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 695 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_quad_seq == Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 696 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) auth_quad_seq))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let auth_quad_seq = va_g in (va_sM, va_fM, auth_quad_seq) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, auth_quad_seq) = va_lemma_Gcm_blocks_auth (va_code_Gcm_blocks_auth ()) va_s0 auth_b abytes_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (auth_quad_seq) in (va_sM, va_f0, va_g) //-- //-- Compute_iv val va_code_Compute_iv : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_iv () = (va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_CNil ())))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret) (va_CNil ()))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_iv : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_iv () = (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_iv (va_mods:va_mods_t) (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 831 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 832 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret iv_extra_b 0) (fun (va_s:va_state) _ -> let (iv_LE:quad32) = va_get_xmm 0 va_s in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let (i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539 s_540))) Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_LE == FStar.Seq.Base.index #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 835 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 836 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (fun (va_s:va_state) _ -> let (iv_BE:quad32) = va_get_xmm 0 va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 838 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_BE == Vale.Def.Types_s.reverse_bytes_quad32 iv_LE) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 839 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 840 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.GCM.set_to_one_LE iv_BE) (let (j0:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 843 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret j0_b 0) (fun (va_s:va_state) _ -> let (va_arg48:Vale.Def.Types_s.quad32) = j0 in let (va_arg47:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in let (va_arg46:Vale.Def.Words_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg45:Vale.AES.GCM_s.supported_iv_LE) = iv in let (va_arg44:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 844 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_easy va_arg43 va_arg44 va_arg45 va_arg46 va_arg47 va_arg48) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> let (raw_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_old_s > va_get_reg64 rRdx va_old_s `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) in let (va_arg57:Prims.nat) = va_get_reg64 rRsi va_old_s in let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = raw_quads in let (va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg54:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 851 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_length_simplifier va_arg54 va_arg55 va_arg56 va_arg57) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 854 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 855 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 858 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 859 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth iv_b iv_extra_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_mid:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 863 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 864 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 865 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 868 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 871 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_mid) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg52:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 875 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg52 y_mid y_final va_arg53 length_quad) (let (va_arg51:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg49:Vale.AES.GCM_s.supported_iv_LE) = iv in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 877 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_hard va_arg49 va_arg50 length_quad h_LE va_arg51) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 878 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret j0_b 0) (va_QEmpty (()))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) val va_lemma_Compute_iv : va_b0:va_code -> va_s0:va_state -> iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_iv ()) va_s0 /\ va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Compute_iv va_b0 va_s0 iv_b iv_extra_b iv j0_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Compute_iv va_mods iv_b iv_extra_b iv j0_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_iv ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 759 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 804 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 807 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm11:quad32) (va_x_heap7:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 7 va_x_heap7 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0)))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) ==> va_k va_sM (()))) val va_wpProof_Compute_iv : iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_iv (va_code_Compute_iv ()) va_s0 iv_b iv_extra_b iv j0_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (va_QProc (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b) (va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b)) //-- //-- Gcm_blocks #push-options "--z3rlimit 600" val va_code_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks alg offset = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 10)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_CCons (va_code_AES_GCM_encrypt_6mult alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_CCons (va_code_Gcm_blocks128 alg) (va_CCons (va_code_Stack_lemma ()) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (va_Block (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Gcm_extra_bytes alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_CCons (va_code_Gctr_register alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))))))))))))))))))))))))))))))))) val va_codegen_success_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks alg offset = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_AES_GCM_encrypt_6mult alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Gcm_blocks128 alg) (va_pbool_and (va_codegen_success_Stack_lemma ()) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_pbool_and (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Gcm_extra_bytes alg)))) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_pbool_and (va_codegen_success_Gctr_register alg) (va_ttrue ())))))))))))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks (va_mods:va_mods_t) (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1057 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1058 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1059 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1060 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in let (y_auth_bytes:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1067 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1068 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1069 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1070 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1071 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> let (iv_BE:Vale.X64.Decls.quad32) = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1077 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public iv_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1079 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret scratch_b 0) (fun (va_s:va_state) _ -> let (j0:quad32) = va_get_xmm 1 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1081 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load_one_lsb (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1085 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AES_GCM_encrypt_6mult alg h_LE iv_b in128x6_b out128x6_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s:va_state) _ -> let (y_cipher128x6:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (auth_in:(seq quad32)) = auth_quad_seq in let (va_arg138:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg137:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg136:Vale.Def.Types_s.quad32) = y_auth_bytes in let (va_arg135:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1088 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg135 va_arg136 y_cipher128x6 va_arg137 va_arg138) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1092 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1093 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1094 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1097 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1098 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1099 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1100 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks128 alg in128_b out128_b key round_keys keys_b hkeys_b h_LE) (fun (va_s:va_state) _ -> let (y_cipher128:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg134:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg133:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg132:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1102 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg132 y_cipher128x6 y_cipher128 va_arg133 va_arg134) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Stack_lemma (va_op_reg64_reg64 rRsp) (offset + 24) Public) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1107 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1108 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (fun (va_s:va_state) _ -> let (y_inout:Vale.Def.Types_s.quad32) = y_cipher128 in let (plain_byte_seq:(seq quad32)) = empty_seq_quad32 in let (cipher_byte_seq:(seq quad32)) = empty_seq_quad32 in let (va_arg131:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let (va_arg130:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg129:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg128:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg127:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1113 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg127 va_arg128 va_arg129 va_arg130 va_arg131) (let (total_bytes:(va_int_at_least 0)) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1117 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1119 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1120 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1121 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1122 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1126 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes y_0 auth_in h_LE) (fun (va_s:va_state) _ -> let y_inout = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1130 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let auth_in = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let plain_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_old_s) inout_b in let cipher_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout)))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout))))) (fun (va_s:va_state) va_g -> let ((auth_in:(seq quad32)), (cipher_byte_seq:(seq quad32)), (plain_byte_seq:(seq quad32)), (y_inout:Vale.Def.Types_s.quad32)) = va_g in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1141 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1142 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad32:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1145 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_inout) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1148 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret scratch_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1151 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_register alg key round_keys keys_b) (fun (va_s:va_state) _ -> let (va_arg126:Vale.Def.Types_s.quad32) = va_get_xmm 8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1154 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton va_arg126) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (icb_BE_677:Vale.Def.Types_s.quad32) (plain_LE_678:Vale.Def.Types_s.quad32) (alg_679:Vale.AES.AES_common_s.algorithm) (key_680:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (i_681:Prims.int) -> Vale.AES.AES_s.is_aes_key_LE alg_679 key_680) j0 y_final alg key 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_s == Vale.AES.GCTR_s.gctr_encrypt_block j0 y_final alg key 0) (let (plain128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (cipher128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in128_b) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1160 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 plain_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 plain128 plain_byte_seq) plain128) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1161 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 cipher_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 cipher128 cipher_byte_seq) cipher128) (let (va_arg125:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 in let (va_arg124:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg123:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg122:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b in let (va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg119:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b in let (va_arg118:Prims.nat) = len128 in let (va_arg117:Prims.nat) = len128x6 in let (va_arg116:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1163 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg116 va_arg117 va_arg118 va_arg119 va_arg120 va_arg121 va_arg122 va_arg123 va_arg124 va_arg125) (let (va_arg115:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite (Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6) len128 in let (va_arg114:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg113:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg112:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg111:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg110:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in let (va_arg109:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (va_arg108:Prims.nat) = FStar.Seq.Base.length #quad32 plain_byte_seq in let (va_arg107:Prims.nat) = len128x6 + len128 in let (va_arg106:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1169 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg106 va_arg107 va_arg108 va_arg109 va_arg110 va_arg111 va_arg112 va_arg113 va_arg114 va_arg115) (let (va_arg105:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg104:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1177 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg104 y_inout y_final va_arg105 length_quad32) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (FStar.Seq.Base.create #Vale.Def.Types_s.quad32 1 length_quad32) in let (va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1179 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_to_ghash h_LE va_arg103) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))))))))) val va_lemma_Gcm_blocks : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (len128x6 + len128 + 1) else (len128x6 + len128)) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = (if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) else Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) else raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks va_b0 va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks va_mods alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks alg offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 994 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 997 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 998 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1000 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1002 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_1:quad32) = iv_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 1003 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 1006 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (plain_in:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1015 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_out:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1024 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_bound:nat) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in label va_range1 "***** POSTCONDITION NOT MET AT line 1028 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1032 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1034 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1040 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in label va_range1 "***** POSTCONDITION NOT MET AT line 1054 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 106 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_heap1:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap5:vale_heap) (va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks : alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g))))
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Stack.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsVector.fsti.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.InsAes.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Math.Poly2.Bits_s.fsti.checked", "Vale.Lib.Meta.fsti.checked", "Vale.Lib.Basic.fsti.checked", "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.X64.GHash.fsti.checked", "Vale.AES.X64.GF128_Mul.fsti.checked", "Vale.AES.X64.GCTR.fsti.checked", "Vale.AES.X64.AESopt2.fsti.checked", "Vale.AES.X64.AESopt.fsti.checked", "Vale.AES.X64.AESGCM.fsti.checked", "Vale.AES.X64.AES.fsti.checked", "Vale.AES.OptPublic.fsti.checked", "Vale.AES.GHash_s.fst.checked", "Vale.AES.GHash.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_s.fst.checked", "Vale.AES.GCTR.fsti.checked", "Vale.AES.GCM_s.fst.checked", "Vale.AES.GCM_helpers.fsti.checked", "Vale.AES.GCM.fsti.checked", "Vale.AES.AES_s.fst.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.X64.GCMencryptOpt.fst" }
[ { "abbrev": false, "full_module": "Vale.Lib.Basic", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
alg: Vale.AES.AES_common_s.algorithm -> offset: Prims.int -> auth_b: Vale.X64.Memory.buffer128 -> abytes_b: Vale.X64.Memory.buffer128 -> in128x6_b: Vale.X64.Memory.buffer128 -> out128x6_b: Vale.X64.Memory.buffer128 -> in128_b: Vale.X64.Memory.buffer128 -> out128_b: Vale.X64.Memory.buffer128 -> inout_b: Vale.X64.Memory.buffer128 -> iv_b: Vale.X64.Memory.buffer128 -> scratch_b: Vale.X64.Memory.buffer128 -> key: FStar.Seq.Base.seq Vale.X64.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 -> keys_b: Vale.X64.Memory.buffer128 -> hkeys_b: Vale.X64.Memory.buffer128 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Prims.Ghost ((Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel) * Prims.unit)
Prims.Ghost
[]
[]
[ "Vale.AES.AES_common_s.algorithm", "Prims.int", "Vale.X64.Memory.buffer128", "FStar.Seq.Base.seq", "Vale.X64.Memory.nat32", "Vale.X64.Decls.quad32", "Vale.X64.Decls.va_state", "Prims.unit", "Vale.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple3", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_xmm", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR15", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR12", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "Prims._assert", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_xmm", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_mem", "Vale.X64.Decls.va_lemma_upd_update", "FStar.Pervasives.Native.tuple3", "FStar.Pervasives.Native.tuple2", "Vale.X64.State.vale_state", "Vale.AES.X64.GCMencryptOpt.va_lemma_Gcm_blocks", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks" ]
[]
false
false
false
false
false
let va_wpProof_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k =
let va_sM, va_f0 = va_lemma_Gcm_blocks (va_code_Gcm_blocks alg offset) va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM ( va_update_reg64 rR13 va_sM ( va_update_reg64 rR12 va_sM ( va_update_reg64 rR11 va_sM ( va_update_reg64 rR10 va_sM ( va_update_reg64 rR9 va_sM ( va_update_reg64 rR8 va_sM ( va_update_reg64 rRbp va_sM ( va_update_reg64 rRsi va_sM ( va_update_reg64 rRdi va_sM ( va_update_reg64 rRdx va_sM ( va_update_reg64 rRcx va_sM ( va_update_reg64 rRbx va_sM ( va_update_reg64 rRax va_sM ( va_update_ok va_sM ( va_update_mem va_sM va_s0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )) )))))))))) ))))))))))))); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem ]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g)
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.update_state_mods_norm
val update_state_mods_norm (mods: mods_t) (sM sK: state) : state
val update_state_mods_norm (mods: mods_t) (sM sK: state) : state
let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK)
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 129, "end_line": 76, "start_col": 7, "start_line": 75 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK)
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
mods: Vale.PPC64LE.QuickCode.mods_t -> sM: Vale.PPC64LE.State.state -> sK: Vale.PPC64LE.State.state -> Vale.PPC64LE.State.state
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.mods_t", "Vale.PPC64LE.State.state", "FStar.Pervasives.norm", "Prims.Cons", "FStar.Pervasives.norm_step", "FStar.Pervasives.iota", "FStar.Pervasives.zeta", "FStar.Pervasives.delta_attr", "Prims.string", "Prims.Nil", "FStar.Pervasives.delta_only", "Vale.PPC64LE.QuickCode.update_state_mods" ]
[]
false
false
false
true
false
let update_state_mods_norm (mods: mods_t) (sM sK: state) : state =
norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK)
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_Mod_xer
val va_Mod_xer : Vale.PPC64LE.QuickCode.mod_t
let va_Mod_xer = Mod_xer
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 31, "start_col": 19, "start_line": 31 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.Mod_xer" ]
[]
false
false
false
true
false
let va_Mod_xer =
Mod_xer
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_mod_vec_opr
val va_mod_vec_opr (r: vec_opr) : mod_t
val va_mod_vec_opr (r: vec_opr) : mod_t
let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 11, "end_line": 87, "start_col": 0, "start_line": 86 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
r: Vale.PPC64LE.Decls.vec_opr -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.vec_opr", "Vale.PPC64LE.QuickCode.Mod_vec", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_mod_vec_opr (r: vec_opr) : mod_t =
Mod_vec r
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_mod_reg_opr
val va_mod_reg_opr (r: reg_opr) : mod_t
val va_mod_reg_opr (r: reg_opr) : mod_t
let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 11, "end_line": 84, "start_col": 0, "start_line": 83 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = ()
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
r: Vale.PPC64LE.Decls.reg_opr -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.reg_opr", "Vale.PPC64LE.QuickCode.Mod_reg", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_mod_reg_opr (r: reg_opr) : mod_t =
Mod_reg r
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.k_true
val k_true : _: Vale.PPC64LE.State.state -> _: a -> Prims.logical
let k_true (#a:Type0) (_:state) (_:a) = True
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 44, "end_line": 95, "start_col": 0, "start_line": 95 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
_: Vale.PPC64LE.State.state -> _: a -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.State.state", "Prims.l_True", "Prims.logical" ]
[]
false
false
false
true
true
let k_true (#a: Type0) (_: state) (_: a) =
True
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.quickProc_wp
val quickProc_wp (a: Type0) : Type u#1
val quickProc_wp (a: Type0) : Type u#1
let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 96, "end_line": 93, "start_col": 0, "start_line": 93 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Type0 -> Type
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.State.state" ]
[]
false
false
false
true
true
let quickProc_wp (a: Type0) : Type u#1 =
s0: state -> (wp_continue: state -> a -> Type0) -> Type0
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_mod_vec
val va_mod_vec (x: vec) : mod_t
val va_mod_vec (x: vec) : mod_t
let va_mod_vec (x:vec) : mod_t = Mod_vec x
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 63, "end_line": 90, "start_col": 21, "start_line": 90 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Vale.PPC64LE.Machine_s.vec -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Machine_s.vec", "Vale.PPC64LE.QuickCode.Mod_vec", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_mod_vec (x: vec) : mod_t =
Mod_vec x
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_mod_heaplet
val va_mod_heaplet (h: heaplet_id) : mod_t
val va_mod_heaplet (h: heaplet_id) : mod_t
let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 82, "end_line": 91, "start_col": 21, "start_line": 91 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.PPC64LE.Decls.heaplet_id -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.heaplet_id", "Vale.PPC64LE.QuickCode.Mod_mem_heaplet", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_mod_heaplet (h: heaplet_id) : mod_t =
Mod_mem_heaplet h
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_mod_reg
val va_mod_reg (r: reg) : mod_t
val va_mod_reg (r: reg) : mod_t
let va_mod_reg (r:reg) : mod_t = Mod_reg r
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 63, "end_line": 89, "start_col": 21, "start_line": 89 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
r: Vale.PPC64LE.Machine_s.reg -> Vale.PPC64LE.QuickCode.mod_t
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Machine_s.reg", "Vale.PPC64LE.QuickCode.Mod_reg", "Vale.PPC64LE.QuickCode.mod_t" ]
[]
false
false
false
true
false
let va_mod_reg (r: reg) : mod_t =
Mod_reg r
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.t_require
val t_require : s0: Vale.PPC64LE.Decls.va_state -> Vale.Def.Prop_s.prop0
let t_require (s0:va_state) = state_inv s0
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 42, "end_line": 107, "start_col": 0, "start_line": 107 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> k1:(state -> a -> Type0) -> k2:(state -> a -> Type0) -> Lemma (requires (forall (s:state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> Ghost (state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True)
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
s0: Vale.PPC64LE.Decls.va_state -> Vale.Def.Prop_s.prop0
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.va_state", "Vale.PPC64LE.Decls.state_inv", "Vale.Def.Prop_s.prop0" ]
[]
false
false
false
true
false
let t_require (s0: va_state) =
state_inv s0
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_t_ensure
val va_t_ensure : c: Vale.PPC64LE.Decls.va_code -> mods: Vale.PPC64LE.QuickCode.mods_t -> s0: Vale.PPC64LE.State.state -> k: (_: Vale.PPC64LE.State.state -> _: a -> Type0) -> _: ((Vale.PPC64LE.State.state * Vale.PPC64LE.Decls.va_fuel) * a) -> Prims.logical
let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:state) (k:(state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 105, "end_line": 111, "start_col": 0, "start_line": 110 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> k1:(state -> a -> Type0) -> k2:(state -> a -> Type0) -> Lemma (requires (forall (s:state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> Ghost (state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
c: Vale.PPC64LE.Decls.va_code -> mods: Vale.PPC64LE.QuickCode.mods_t -> s0: Vale.PPC64LE.State.state -> k: (_: Vale.PPC64LE.State.state -> _: a -> Type0) -> _: ((Vale.PPC64LE.State.state * Vale.PPC64LE.Decls.va_fuel) * a) -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.Decls.va_code", "Vale.PPC64LE.QuickCode.mods_t", "Vale.PPC64LE.State.state", "FStar.Pervasives.Native.tuple3", "Vale.PPC64LE.Decls.va_fuel", "Prims.l_and", "Vale.PPC64LE.Decls.eval_code", "Prims.eq2", "Vale.PPC64LE.QuickCode.update_state_mods", "Vale.PPC64LE.Decls.state_inv", "Prims.logical" ]
[]
false
false
false
true
true
let va_t_ensure (#a: Type0) (c: va_code) (mods: mods_t) (s0: state) (k: (state -> a -> Type0)) =
fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_t_require
val va_t_require : s0: Vale.PPC64LE.Decls.va_state -> Vale.Def.Prop_s.prop0
let va_t_require = t_require
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 35, "end_line": 108, "start_col": 7, "start_line": 108 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> k1:(state -> a -> Type0) -> k2:(state -> a -> Type0) -> Lemma (requires (forall (s:state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> Ghost (state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True)
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
s0: Vale.PPC64LE.Decls.va_state -> Vale.Def.Prop_s.prop0
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.t_require" ]
[]
false
false
false
true
false
let va_t_require =
t_require
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_QProc
val va_QProc : c: Vale.PPC64LE.Machine_s.precode Vale.PPC64LE.Decls.ins Vale.PPC64LE.Decls.ocmp -> mods: Prims.list Vale.PPC64LE.QuickCode.mod_t -> wp: Vale.PPC64LE.QuickCode.quickProc_wp _ -> proof: Vale.PPC64LE.QuickCode.t_proof c mods wp -> Vale.PPC64LE.QuickCode.quickCode _ c
let va_QProc = QProc
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 27, "end_line": 132, "start_col": 7, "start_line": 132 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> k1:(state -> a -> Type0) -> k2:(state -> a -> Type0) -> Lemma (requires (forall (s:state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> Ghost (state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:state) (k:(state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g let t_proof (#a:Type0) (c:va_code) (mods:mods_t) (wp:quickProc_wp a) : Type = s0:state -> k:(state -> a -> Type0) -> Ghost (state & va_fuel & a) (requires t_require s0 /\ wp s0 k) (ensures va_t_ensure c mods s0 k) // Code that returns a ghost value of type a [@va_qattr] noeq type quickCode (a:Type0) : va_code -> Type = | QProc: c:va_code -> mods:mods_t -> wp:quickProc_wp a -> proof:t_proof c mods wp -> quickCode a c [@va_qattr] unfold let va_quickCode = quickCode
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
c: Vale.PPC64LE.Machine_s.precode Vale.PPC64LE.Decls.ins Vale.PPC64LE.Decls.ocmp -> mods: Prims.list Vale.PPC64LE.QuickCode.mod_t -> wp: Vale.PPC64LE.QuickCode.quickProc_wp _ -> proof: Vale.PPC64LE.QuickCode.t_proof c mods wp -> Vale.PPC64LE.QuickCode.quickCode _ c
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.QProc", "Vale.PPC64LE.Machine_s.precode", "Vale.PPC64LE.Decls.ins", "Vale.PPC64LE.Decls.ocmp", "Prims.list", "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.QuickCode.quickProc_wp", "Vale.PPC64LE.QuickCode.t_proof", "Vale.PPC64LE.QuickCode.quickCode" ]
[]
false
false
false
false
false
let va_QProc =
QProc
false
Spec.SecretBox.Test.fst
Spec.SecretBox.Test.test
val test : _: Prims.unit -> FStar.All.ALL Prims.bool
let test () = let (mac, cipher) = secretbox_detached key nonce plaintext in let result_encryption = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) cipher xcipher in let result_mac_compare = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) mac xmac in let dec = secretbox_open_detached key nonce xmac xcipher in let dec_p = match dec with | Some p -> p | None -> create 131 (u8 0) in let result_decryption = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) dec_p plaintext in if result_encryption && result_mac_compare && result_decryption then begin IO.print_string "\nSuccess!\n"; true end else begin IO.print_string "\nFailure :("; false end
{ "file_name": "specs/tests/Spec.SecretBox.Test.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 54, "end_line": 104, "start_col": 0, "start_line": 90 }
module Spec.SecretBox.Test open FStar.Mul open Lib.IntTypes open Lib.RawIntTypes open Lib.Sequence open Lib.ByteSequence open Spec.SecretBox #set-options "--z3rlimit 50 --fuel 0 --ifuel 0" let key : lbytes 32 = let l = List.Tot.map u8_from_UInt8 [ 0x1buy; 0x27uy; 0x55uy; 0x64uy; 0x73uy; 0xe9uy; 0x85uy; 0xd4uy; 0x62uy; 0xcduy; 0x51uy; 0x19uy; 0x7auy; 0x9auy; 0x46uy; 0xc7uy; 0x60uy; 0x09uy; 0x54uy; 0x9euy; 0xacuy; 0x64uy; 0x74uy; 0xf2uy; 0x06uy; 0xc4uy; 0xeeuy; 0x08uy; 0x44uy; 0xf6uy; 0x83uy; 0x89uy ] in assert_norm (List.Tot.length l == 32); of_list l let nonce : lbytes 24 = let l = List.Tot.map u8_from_UInt8 [ 0x69uy; 0x69uy; 0x6euy; 0xe9uy; 0x55uy; 0xb6uy; 0x2buy; 0x73uy; 0xcduy; 0x62uy; 0xbduy; 0xa8uy; 0x75uy; 0xfcuy; 0x73uy; 0xd6uy; 0x82uy; 0x19uy; 0xe0uy; 0x03uy; 0x6buy; 0x7auy; 0x0buy; 0x37uy ] in assert_norm (List.Tot.length l == 24); of_list l let plaintext : lbytes 131 = let l = List.Tot.map u8_from_UInt8 [ 0xbeuy; 0x07uy; 0x5fuy; 0xc5uy; 0x3cuy; 0x81uy; 0xf2uy; 0xd5uy; 0xcfuy; 0x14uy; 0x13uy; 0x16uy; 0xebuy; 0xebuy; 0x0cuy; 0x7buy; 0x52uy; 0x28uy; 0xc5uy; 0x2auy; 0x4cuy; 0x62uy; 0xcbuy; 0xd4uy; 0x4buy; 0x66uy; 0x84uy; 0x9buy; 0x64uy; 0x24uy; 0x4fuy; 0xfcuy; 0xe5uy; 0xecuy; 0xbauy; 0xafuy; 0x33uy; 0xbduy; 0x75uy; 0x1auy; 0x1auy; 0xc7uy; 0x28uy; 0xd4uy; 0x5euy; 0x6cuy; 0x61uy; 0x29uy; 0x6cuy; 0xdcuy; 0x3cuy; 0x01uy; 0x23uy; 0x35uy; 0x61uy; 0xf4uy; 0x1duy; 0xb6uy; 0x6cuy; 0xceuy; 0x31uy; 0x4auy; 0xdbuy; 0x31uy; 0x0euy; 0x3buy; 0xe8uy; 0x25uy; 0x0cuy; 0x46uy; 0xf0uy; 0x6duy; 0xceuy; 0xeauy; 0x3auy; 0x7fuy; 0xa1uy; 0x34uy; 0x80uy; 0x57uy; 0xe2uy; 0xf6uy; 0x55uy; 0x6auy; 0xd6uy; 0xb1uy; 0x31uy; 0x8auy; 0x02uy; 0x4auy; 0x83uy; 0x8fuy; 0x21uy; 0xafuy; 0x1fuy; 0xdeuy; 0x04uy; 0x89uy; 0x77uy; 0xebuy; 0x48uy; 0xf5uy; 0x9fuy; 0xfduy; 0x49uy; 0x24uy; 0xcauy; 0x1cuy; 0x60uy; 0x90uy; 0x2euy; 0x52uy; 0xf0uy; 0xa0uy; 0x89uy; 0xbcuy; 0x76uy; 0x89uy; 0x70uy; 0x40uy; 0xe0uy; 0x82uy; 0xf9uy; 0x37uy; 0x76uy; 0x38uy; 0x48uy; 0x64uy; 0x5euy; 0x07uy; 0x05uy ] in assert_norm (List.Tot.length l == 131); of_list l let xcipher : lbytes 131 = let l = List.Tot.map u8_from_UInt8 [ 0x8euy; 0x99uy; 0x3buy; 0x9fuy; 0x48uy; 0x68uy; 0x12uy; 0x73uy; 0xc2uy; 0x96uy; 0x50uy; 0xbauy; 0x32uy; 0xfcuy; 0x76uy; 0xceuy; 0x48uy; 0x33uy; 0x2euy; 0xa7uy; 0x16uy; 0x4duy; 0x96uy; 0xa4uy; 0x47uy; 0x6fuy; 0xb8uy; 0xc5uy; 0x31uy; 0xa1uy; 0x18uy; 0x6auy; 0xc0uy; 0xdfuy; 0xc1uy; 0x7cuy; 0x98uy; 0xdcuy; 0xe8uy; 0x7buy; 0x4duy; 0xa7uy; 0xf0uy; 0x11uy; 0xecuy; 0x48uy; 0xc9uy; 0x72uy; 0x71uy; 0xd2uy; 0xc2uy; 0x0fuy; 0x9buy; 0x92uy; 0x8fuy; 0xe2uy; 0x27uy; 0x0duy; 0x6fuy; 0xb8uy; 0x63uy; 0xd5uy; 0x17uy; 0x38uy; 0xb4uy; 0x8euy; 0xeeuy; 0xe3uy; 0x14uy; 0xa7uy; 0xccuy; 0x8auy; 0xb9uy; 0x32uy; 0x16uy; 0x45uy; 0x48uy; 0xe5uy; 0x26uy; 0xaeuy; 0x90uy; 0x22uy; 0x43uy; 0x68uy; 0x51uy; 0x7auy; 0xcfuy; 0xeauy; 0xbduy; 0x6buy; 0xb3uy; 0x73uy; 0x2buy; 0xc0uy; 0xe9uy; 0xdauy; 0x99uy; 0x83uy; 0x2buy; 0x61uy; 0xcauy; 0x01uy; 0xb6uy; 0xdeuy; 0x56uy; 0x24uy; 0x4auy; 0x9euy; 0x88uy; 0xd5uy; 0xf9uy; 0xb3uy; 0x79uy; 0x73uy; 0xf6uy; 0x22uy; 0xa4uy; 0x3duy; 0x14uy; 0xa6uy; 0x59uy; 0x9buy; 0x1fuy; 0x65uy; 0x4cuy; 0xb4uy; 0x5auy; 0x74uy; 0xe3uy; 0x55uy; 0xa5uy ] in assert_norm (List.Tot.length l == 131); of_list l let xmac : lbytes 16 = let l = List.Tot.map u8_from_UInt8 [ 0xf3uy; 0xffuy; 0xc7uy; 0x70uy; 0x3fuy; 0x94uy; 0x00uy; 0xe5uy; 0x2auy; 0x7duy; 0xfbuy; 0x4buy; 0x3duy; 0x33uy; 0x05uy; 0xd9uy ] in assert_norm (List.Tot.length l == 16); of_list l
{ "checked_file": "/", "dependencies": [ "Spec.SecretBox.fst.checked", "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.RawIntTypes.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteSequence.fsti.checked", "FStar.UInt8.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.List.Tot.fst.checked", "FStar.IO.fst.checked" ], "interface_file": false, "source_file": "Spec.SecretBox.Test.fst" }
[ { "abbrev": false, "full_module": "Spec.SecretBox", "short_module": null }, { "abbrev": false, "full_module": "Lib.ByteSequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.RawIntTypes", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Spec.SecretBox", "short_module": null }, { "abbrev": false, "full_module": "Spec.SecretBox", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
_: Prims.unit -> FStar.All.ALL Prims.bool
FStar.All.ALL
[]
[]
[ "Prims.unit", "Spec.SecretBox.tag", "Lib.ByteSequence.bytes", "Prims.b2t", "Prims.op_Equality", "Prims.nat", "Lib.Sequence.length", "Lib.IntTypes.uint_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Spec.SecretBox.Test.plaintext", "Prims.op_AmpAmp", "Prims.bool", "FStar.IO.print_string", "Lib.Sequence.for_all2", "Prims.l_or", "Prims.int", "Prims.op_GreaterThanOrEqual", "Lib.IntTypes.range", "Lib.IntTypes.uint_v", "Lib.RawIntTypes.uint_to_nat", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Spec.SecretBox.Test.xcipher", "Lib.Sequence.create", "Lib.IntTypes.u8", "FStar.Pervasives.Native.option", "Lib.Sequence.seq", "Spec.SecretBox.secretbox_open_detached", "Spec.SecretBox.Test.key", "Spec.SecretBox.Test.nonce", "Spec.SecretBox.Test.xmac", "Spec.SecretBox.size_tag", "FStar.Pervasives.Native.tuple2", "Spec.SecretBox.secretbox_detached" ]
[]
false
true
false
false
false
let test () =
let mac, cipher = secretbox_detached key nonce plaintext in let result_encryption = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) cipher xcipher in let result_mac_compare = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) mac xmac in let dec = secretbox_open_detached key nonce xmac xcipher in let dec_p = match dec with | Some p -> p | None -> create 131 (u8 0) in let result_decryption = for_all2 (fun a b -> uint_to_nat #U8 a = uint_to_nat #U8 b) dec_p plaintext in if result_encryption && result_mac_compare && result_decryption then (IO.print_string "\nSuccess!\n"; true) else (IO.print_string "\nFailure :("; false)
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.va_quickCode
val va_quickCode : a: Type0 -> _: Vale.PPC64LE.Machine_s.precode Vale.PPC64LE.Decls.ins Vale.PPC64LE.Decls.ocmp -> Type
let va_quickCode = quickCode
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 35, "end_line": 129, "start_col": 7, "start_line": 129 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK [@va_qattr] let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK) [@va_qattr] unfold let update_state_mods_norm (mods:mods_t) (sM sK:state) : state = norm [iota; zeta; delta_attr [`%qmodattr]; delta_only [`%update_state_mods; `%update_state_mod]] (update_state_mods mods sM sK) let va_lemma_norm_mods (mods:mods_t) (sM sK:state) : Lemma (ensures update_state_mods mods sM sK == update_state_mods_norm mods sM sK) = () [@va_qattr qmodattr] let va_mod_reg_opr (r:reg_opr) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec_opr (r:vec_opr) : mod_t = Mod_vec r [@va_qattr qmodattr] let va_mod_reg (r:reg) : mod_t = Mod_reg r [@va_qattr qmodattr] let va_mod_vec (x:vec) : mod_t = Mod_vec x [@va_qattr qmodattr] let va_mod_heaplet (h:heaplet_id) : mod_t = Mod_mem_heaplet h let quickProc_wp (a:Type0) : Type u#1 = (s0:state) -> (wp_continue:state -> a -> Type0) -> Type0 let k_true (#a:Type0) (_:state) (_:a) = True let t_monotone (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> k1:(state -> a -> Type0) -> k2:(state -> a -> Type0) -> Lemma (requires (forall (s:state) (g:a). k1 s g ==> k2 s g)) (ensures wp s0 k1 ==> wp s0 k2) let t_compute (#a:Type0) (c:va_code) (wp:quickProc_wp a) : Type = s0:state -> Ghost (state & va_fuel & a) (requires wp s0 k_true) (ensures fun _ -> True) let t_require (s0:va_state) = state_inv s0 unfold let va_t_require = t_require let va_t_ensure (#a:Type0) (c:va_code) (mods:mods_t) (s0:state) (k:(state -> a -> Type0)) = fun (sM, f0, g) -> eval_code c s0 f0 sM /\ update_state_mods mods sM s0 == sM /\ state_inv sM /\ k sM g let t_proof (#a:Type0) (c:va_code) (mods:mods_t) (wp:quickProc_wp a) : Type = s0:state -> k:(state -> a -> Type0) -> Ghost (state & va_fuel & a) (requires t_require s0 /\ wp s0 k) (ensures va_t_ensure c mods s0 k) // Code that returns a ghost value of type a [@va_qattr] noeq type quickCode (a:Type0) : va_code -> Type = | QProc: c:va_code -> mods:mods_t -> wp:quickProc_wp a -> proof:t_proof c mods wp -> quickCode a c
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Type0 -> _: Vale.PPC64LE.Machine_s.precode Vale.PPC64LE.Decls.ins Vale.PPC64LE.Decls.ocmp -> Type
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.quickCode" ]
[]
false
false
false
true
true
let va_quickCode =
quickCode
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.update_state_mods
val update_state_mods (mods: mods_t) (sM sK: state) : state
val update_state_mods (mods: mods_t) (sM sK: state) : state
let rec update_state_mods (mods:mods_t) (sM sK:state) : state = match mods with | [] -> sK | m::mods -> update_state_mod m sM (update_state_mods mods sM sK)
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 67, "end_line": 72, "start_col": 0, "start_line": 69 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false) [@va_qattr] let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
mods: Vale.PPC64LE.QuickCode.mods_t -> sM: Vale.PPC64LE.State.state -> sK: Vale.PPC64LE.State.state -> Vale.PPC64LE.State.state
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.mods_t", "Vale.PPC64LE.State.state", "Vale.PPC64LE.QuickCode.mod_t", "Prims.list", "Vale.PPC64LE.QuickCode.update_state_mod", "Vale.PPC64LE.QuickCode.update_state_mods" ]
[ "recursion" ]
false
false
false
true
false
let rec update_state_mods (mods: mods_t) (sM sK: state) : state =
match mods with | [] -> sK | m :: mods -> update_state_mod m sM (update_state_mods mods sM sK)
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.mod_eq
val mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y))
val mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y))
let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false)
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 72, "end_line": 51, "start_col": 0, "start_line": 39 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Vale.PPC64LE.QuickCode.mod_t -> y: Vale.PPC64LE.QuickCode.mod_t -> Prims.Pure Prims.bool
Prims.Pure
[]
[]
[ "Vale.PPC64LE.QuickCode.mod_t", "Prims.bool", "Vale.PPC64LE.Machine_s.reg", "Prims.op_Equality", "Vale.PPC64LE.Machine_s.vec", "Vale.PPC64LE.Decls.heaplet_id", "Prims.l_True", "Prims.eq2" ]
[]
false
false
false
false
false
let mod_eq (x y: mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) =
match x with | Mod_None -> (match y with | Mod_None -> true | _ -> false) | Mod_ok -> (match y with | Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with | Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with | Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with | Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with | Mod_xer -> true | _ -> false) | Mod_mem -> (match y with | Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with | Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with | Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with | Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with | Mod_stackTaint -> true | _ -> false)
false
Vale.PPC64LE.QuickCode.fst
Vale.PPC64LE.QuickCode.update_state_mod
val update_state_mod (m: mod_t) (sM sK: state) : state
val update_state_mod (m: mod_t) (sM sK: state) : state
let update_state_mod (m:mod_t) (sM sK:state) : state = match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK
{ "file_name": "vale/code/arch/ppc64le/Vale.PPC64LE.QuickCode.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 48, "end_line": 66, "start_col": 0, "start_line": 54 }
module Vale.PPC64LE.QuickCode open FStar.Mul open Vale.Def.Prop_s open Vale.PPC64LE.Machine_s open Vale.Arch.HeapImpl open Vale.PPC64LE.State open Vale.PPC64LE.Decls irreducible let qmodattr = () type mod_t = | Mod_None : mod_t | Mod_ok: mod_t | Mod_reg: reg -> mod_t | Mod_vec: vec -> mod_t | Mod_cr0: mod_t | Mod_xer: mod_t | Mod_mem: mod_t | Mod_mem_layout: mod_t | Mod_mem_heaplet: heaplet_id -> mod_t | Mod_stack: mod_t | Mod_stackTaint: mod_t unfold let mods_t = list mod_t unfold let va_mods_t = mods_t [@va_qattr] unfold let va_Mod_None = Mod_None [@va_qattr] unfold let va_Mod_ok = Mod_ok [@va_qattr] unfold let va_Mod_reg (r:reg) = Mod_reg r [@va_qattr] unfold let va_Mod_vec (v:vec) = Mod_vec v [@va_qattr] unfold let va_Mod_cr0 = Mod_cr0 [@va_qattr] unfold let va_Mod_xer = Mod_xer [@va_qattr] unfold let va_Mod_mem = Mod_mem [@va_qattr] unfold let va_Mod_mem_layout = Mod_mem_layout [@va_qattr] unfold let va_Mod_mem_heaplet (n:heaplet_id) = Mod_mem_heaplet n [@va_qattr] unfold let va_Mod_stack = Mod_stack [@va_qattr] unfold let va_Mod_stackTaint = Mod_stackTaint [@va_qattr "opaque_to_smt"] let mod_eq (x y:mod_t) : Pure bool (requires True) (ensures fun b -> b == (x = y)) = match x with | Mod_None -> (match y with Mod_None -> true | _ -> false) | Mod_ok -> (match y with Mod_ok -> true | _ -> false) | Mod_reg rx -> (match y with Mod_reg ry -> rx = ry | _ -> false) | Mod_vec vx -> (match y with Mod_vec vy -> vx = vy | _ -> false) | Mod_cr0 -> (match y with Mod_cr0 -> true | _ -> false) | Mod_xer -> (match y with Mod_xer -> true | _ -> false) | Mod_mem -> (match y with Mod_mem -> true | _ -> false) | Mod_mem_layout -> (match y with Mod_mem_layout -> true | _ -> false) | Mod_mem_heaplet nx -> (match y with Mod_mem_heaplet ny -> nx = ny | _ -> false) | Mod_stack -> (match y with Mod_stack -> true | _ -> false) | Mod_stackTaint -> (match y with Mod_stackTaint -> true | _ -> false)
{ "checked_file": "/", "dependencies": [ "Vale.PPC64LE.State.fsti.checked", "Vale.PPC64LE.Machine_s.fst.checked", "Vale.PPC64LE.Decls.fsti.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Vale.PPC64LE.QuickCode.fst" }
[ { "abbrev": false, "full_module": "Vale.PPC64LE.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "Vale.PPC64LE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
m: Vale.PPC64LE.QuickCode.mod_t -> sM: Vale.PPC64LE.State.state -> sK: Vale.PPC64LE.State.state -> Vale.PPC64LE.State.state
Prims.Tot
[ "total" ]
[]
[ "Vale.PPC64LE.QuickCode.mod_t", "Vale.PPC64LE.State.state", "Vale.PPC64LE.Decls.va_update_ok", "Vale.PPC64LE.Machine_s.reg", "Vale.PPC64LE.Decls.va_update_reg", "Vale.PPC64LE.Machine_s.vec", "Vale.PPC64LE.Decls.va_update_vec", "Vale.PPC64LE.Decls.va_update_cr0", "Vale.PPC64LE.Decls.va_update_xer", "Vale.PPC64LE.Decls.va_update_mem", "Vale.PPC64LE.Decls.va_update_mem_layout", "Vale.PPC64LE.Decls.heaplet_id", "Vale.PPC64LE.Decls.va_update_mem_heaplet", "Vale.PPC64LE.Decls.va_update_stack", "Vale.PPC64LE.Decls.va_update_stackTaint" ]
[]
false
false
false
true
false
let update_state_mod (m: mod_t) (sM sK: state) : state =
match m with | Mod_None -> sK | Mod_ok -> va_update_ok sM sK | Mod_reg r -> va_update_reg r sM sK | Mod_vec v -> va_update_vec v sM sK | Mod_cr0 -> va_update_cr0 sM sK | Mod_xer -> va_update_xer sM sK | Mod_mem -> va_update_mem sM sK | Mod_mem_layout -> va_update_mem_layout sM sK | Mod_mem_heaplet n -> va_update_mem_heaplet n sM sK | Mod_stack -> va_update_stack sM sK | Mod_stackTaint -> va_update_stackTaint sM sK
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.gf128_power
val gf128_power (h:poly) (n:nat) : poly
val gf128_power (h:poly) (n:nat) : poly
let gf128_power h n = shift_gf128_key_1 (g_power h n)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 53, "end_line": 21, "start_col": 0, "start_line": 21 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> n: Prims.nat -> Vale.Math.Poly2_s.poly
Prims.Tot
[ "total" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.nat", "Vale.AES.GHash_BE.shift_gf128_key_1", "Vale.AES.GHash_BE.g_power" ]
[]
false
false
false
true
false
let gf128_power h n =
shift_gf128_key_1 (g_power h n)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.shift_gf128_key_1
val shift_gf128_key_1 (h: poly) : poly
val shift_gf128_key_1 (h: poly) : poly
let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 43, "end_line": 11, "start_col": 0, "start_line": 10 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> Vale.Math.Poly2_s.poly
Prims.Tot
[ "total" ]
[]
[ "Vale.Math.Poly2_s.poly", "Vale.AES.GF128.shift_key_1", "Vale.AES.GF128_s.gf128_modulus_low_terms" ]
[]
false
false
false
true
false
let shift_gf128_key_1 (h: poly) : poly =
shift_key_1 128 gf128_modulus_low_terms h
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.g_power
val g_power (a:poly) (n:nat) : poly
val g_power (a:poly) (n:nat) : poly
let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 24, "end_line": 16, "start_col": 0, "start_line": 13 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Vale.Math.Poly2_s.poly -> n: Prims.nat -> Vale.Math.Poly2_s.poly
Prims.Tot
[ "total" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.nat", "Prims.op_Equality", "Prims.int", "Vale.Math.Poly2_s.zero", "Prims.bool", "Vale.AES.GF128.op_Star_Tilde", "Vale.AES.GHash_BE.g_power", "Prims.op_Subtraction" ]
[ "recursion" ]
false
false
false
true
false
let rec g_power (a: poly) (n: nat) : poly =
if n = 0 then zero else if n = 1 then a else a *~ g_power a (n - 1)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.ghash_poly_unroll
val ghash_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : poly
val ghash_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : poly
let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 59, "end_line": 28, "start_col": 0, "start_line": 24 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> m: Prims.nat -> n: Prims.nat -> Vale.Math.Poly2_s.poly
Prims.Tot
[ "total" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_Equality", "Vale.AES.GF128.op_Star_Tilde", "Vale.Math.Poly2.op_Plus_Dot", "Prims.bool", "Vale.AES.GHash_BE.ghash_poly_unroll", "Prims.op_Subtraction", "Prims.op_Addition", "Vale.AES.GHash_BE.g_power" ]
[ "recursion" ]
false
false
false
true
false
let rec ghash_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : poly =
let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_poly_of_unroll
val lemma_ghash_poly_of_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m 0) gf128_modulus == ghash_poly h prev data k (k + m + 1) )
val lemma_ghash_poly_of_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m 0) gf128_modulus == ghash_poly h prev data k (k + m + 1) )
let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 199, "start_col": 0, "start_line": 196 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; }
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> m: Prims.nat -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree h < 128 /\ Vale.Math.Poly2_s.degree prev < 128) (ensures Vale.AES.GF128.mod_rev 128 (Vale.AES.GHash_BE.ghash_unroll h prev data k m 0) Vale.AES.GF128_s.gf128_modulus == Vale.AES.GHash_BE.ghash_poly h prev data k (k + m + 1))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.unit", "Vale.AES.GHash_BE.lemma_ghash_unroll_poly_unroll", "Vale.AES.GHash_BE.lemma_ghash_poly_unroll" ]
[]
true
false
true
false
false
let lemma_ghash_poly_of_unroll h prev data k m =
lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward
val lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n)
val lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n)
let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 75, "end_line": 47, "start_col": 0, "start_line": 43 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1)
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> n: Prims.nat -> FStar.Pervasives.Lemma (ensures Vale.AES.GHash_BE.ghash_unroll h prev data k n 0 == Vale.AES.GHash_BE.ghash_unroll_back h prev data k (n + 1) n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_GreaterThan", "Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward_rec", "Prims.op_Subtraction", "Prims.bool", "Prims.unit", "Vale.Math.Poly2.Lemmas.lemma_add_all", "Prims.l_True", "Prims.squash", "Prims.eq2", "Vale.AES.GHash_BE.ghash_unroll", "Vale.AES.GHash_BE.ghash_unroll_back", "Prims.op_Addition", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
true
false
false
let lemma_ghash_unroll_back_forward (h prev: poly) (data: (int -> poly128)) (k: int) (n: nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) =
lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_incremental0_append
val lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2))
val lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2))
let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 281, "start_col": 0, "start_line": 266 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> y0: Vale.Def.Types_s.quad32 -> y1: Vale.Def.Types_s.quad32 -> y2: Vale.Def.Types_s.quad32 -> s1: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> s2: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> FStar.Pervasives.Lemma (requires y1 = Vale.AES.GHash_BE.ghash_incremental0 h y0 s1 /\ y2 = Vale.AES.GHash_BE.ghash_incremental0 h y1 s2) (ensures y2 = Vale.AES.GHash_BE.ghash_incremental0 h y0 (s1 @| s2))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.unit", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.length", "Prims._assert", "FStar.Seq.Base.equal", "Prims.bool", "Vale.AES.GHash_BE.lemma_hash_append", "FStar.Seq.Base.op_At_Bar", "Prims.l_and", "Prims.b2t", "Vale.AES.GHash_BE.ghash_incremental0", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
true
false
false
let lemma_ghash_incremental0_append (h y0 y1 y2: quad32) (s1 s2: seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) =
let s12 = s1 @| s2 in if length s1 = 0 then (assert (equal s12 s2)) else (if length s2 = 0 then (assert (equal s12 s1)) else (lemma_hash_append h y0 s1 s2)); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_gf128_mul_rev_mod_rev
val lemma_gf128_mul_rev_mod_rev (a h: poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus)
val lemma_gf128_mul_rev_mod_rev (a h: poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus)
let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); }
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 74, "start_col": 0, "start_line": 49 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1)
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Vale.Math.Poly2_s.poly -> h: Vale.Math.Poly2_s.poly -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree a < 128 /\ Vale.Math.Poly2_s.degree h < 128) (ensures Vale.AES.GF128.gf128_mul_rev a h == Vale.AES.GF128.mod_rev 128 (a *. Vale.AES.GHash_BE.shift_gf128_key_1 h) Vale.AES.GF128_s.gf128_modulus)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "FStar.Calc.calc_finish", "Prims.eq2", "Vale.Math.Poly2.op_Percent_Dot", "Vale.Math.Poly2.op_Star_Dot", "Vale.Math.Poly2_s.reverse", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "Vale.Math.Poly2_s.shift", "Vale.Math.Poly2_s.monomial", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Vale.Math.Poly2.Lemmas.lemma_mod_mul_mod_right", "Prims.squash", "Vale.AES.GF128.lemma_shift_key_1", "Vale.AES.GF128_s.gf128_modulus_low_terms", "Vale.Math.Poly2.lemma_shift_is_mul", "Vale.Math.Poly2.Lemmas.lemma_mul_all", "Vale.Math.Poly2.Lemmas.lemma_mul_reverse_shift_1", "Vale.AES.GF128.lemma_gf128_degree", "Vale.AES.GF128_s.gf128_modulus", "Vale.AES.GHash_BE.shift_gf128_key_1", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Vale.AES.GF128.gf128_mul_rev", "Vale.AES.GF128.mod_rev", "FStar.Pervasives.pattern" ]
[]
false
false
true
false
false
let lemma_gf128_mul_rev_mod_rev (a h: poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) =
let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc ( == ) { rev ((rev a *. rev h) %. g); ( == ) { lemma_mod_mul_mod_right (rev a) (rev h) g } rev ((rev a *. (rev h %. g)) %. g); ( == ) { lemma_shift_key_1 128 gf128_modulus_low_terms h } rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); ( == ) { lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g } rev ((rev a *. (shift (rev h1) 1)) %. g); ( == ) { lemma_shift_is_mul (rev h1) 1 } rev ((rev a *. (rev h1 *. monomial 1)) %. g); ( == ) { lemma_mul_all () } rev (((rev a *. rev h1) *. monomial 1) %. g); ( == ) { lemma_shift_is_mul (rev a *. rev h1) 1 } rev (shift (rev a *. rev h1) 1 %. g); ( == ) { lemma_mul_reverse_shift_1 a h1 127 } rev (reverse (a *. h1) 255 %. g); }
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_incremental_poly
val lemma_ghash_incremental_poly (h_BE:quad32) (y_prev:quad32) (x:seq quad32) : Lemma (ensures of_quad32 (ghash_incremental h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) (fun_seq_quad32_BE_poly128 x) 0 (length x) )
val lemma_ghash_incremental_poly (h_BE:quad32) (y_prev:quad32) (x:seq quad32) : Lemma (ensures of_quad32 (ghash_incremental h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) (fun_seq_quad32_BE_poly128 x) 0 (length x) )
let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 78, "end_line": 238, "start_col": 0, "start_line": 236 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; }
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h_BE: Vale.Def.Types_s.quad32 -> y_prev: Vale.Def.Types_s.quad32 -> x: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> FStar.Pervasives.Lemma (ensures Vale.Math.Poly2.Bits_s.of_quad32 (Vale.AES.GHash_BE.ghash_incremental h_BE y_prev x) == Vale.AES.GHash_BE.ghash_poly (Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (Vale.Math.Poly2.Bits_s.of_quad32 y_prev) (Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128 x) 0 (FStar.Seq.Base.length x))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Vale.AES.GHash_BE.lemma_ghash_incremental_poly_rec", "Vale.AES.GHash_BE.fun_seq_quad32_BE_poly128", "Prims.unit", "Vale.AES.GHash_BE.ghash_incremental_reveal" ]
[]
true
false
true
false
false
let lemma_ghash_incremental_poly h_BE y_prev x =
ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_hash_append
val lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) : Lemma (ensures ghash_incremental h y_prev (append a b) == (let y_a = ghash_incremental h y_prev a in ghash_incremental h y_a b)) (decreases %[length b])
val lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) : Lemma (ensures ghash_incremental h y_prev (append a b) == (let y_a = ghash_incremental h y_prev a in ghash_incremental h y_a b)) (decreases %[length b])
let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 264, "start_col": 0, "start_line": 251 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x)
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> y_prev: Vale.Def.Types_s.quad32 -> a: Vale.AES.GHash_BE_s.ghash_plain_BE -> b: Vale.AES.GHash_BE_s.ghash_plain_BE -> FStar.Pervasives.Lemma (ensures Vale.AES.GHash_BE.ghash_incremental h y_prev (FStar.Seq.Base.append a b) == (let y_a = Vale.AES.GHash_BE.ghash_incremental h y_prev a in Vale.AES.GHash_BE.ghash_incremental h y_a b)) (decreases FStar.Seq.Base.length b)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Vale.Def.Types_s.quad32", "Vale.AES.GHash_BE_s.ghash_plain_BE", "Prims.unit", "Prims._assert", "Prims.eq2", "FStar.Seq.Base.seq", "Vale.Lib.Seqs_s.all_but_last", "FStar.Seq.Base.append", "Vale.Lib.Seqs.lemma_all_but_last_append", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.length", "Vale.Lib.Seqs.lemma_slice_first_exactly_in_append", "Prims.bool", "Vale.AES.GHash_BE.lemma_hash_append", "FStar.Seq.Properties.last", "Vale.AES.GHash_BE.ghash_incremental_reveal" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_hash_append (h y_prev: quad32) (a b: ghash_plain_BE) =
ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert (all_but_last ab == append a (all_but_last b)); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_poly_unroll
val lemma_ghash_poly_unroll (h0 prev: poly) (data: (int -> poly128)) (k: int) (m: nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1))
val lemma_ghash_poly_unroll (h0 prev: poly) (data: (int -> poly128)) (k: int) (m: nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1))
let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); }
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 155, "start_col": 0, "start_line": 117 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; }
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h0: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> m: Prims.nat -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree h0 < 128 /\ Vale.Math.Poly2_s.degree prev < 128) (ensures Vale.AES.GHash_BE.ghash_poly_unroll h0 prev data k m 0 == Vale.AES.GHash_BE.ghash_poly h0 prev data k (k + m + 1))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_Equality", "FStar.Calc.calc_finish", "Prims.eq2", "Vale.AES.GHash_BE.ghash_poly_unroll", "Vale.AES.GHash_BE.ghash_poly", "Prims.op_Addition", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "Vale.AES.GF128.op_Star_Tilde", "Vale.Math.Poly2.op_Plus_Dot", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Prims.squash", "Prims.bool", "Vale.AES.GHash_BE.lemma_ghash_poly_unroll_n", "Prims.op_Subtraction", "Vale.AES.GHash_BE.lemma_ghash_poly_unroll", "Vale.AES.GF128.lemma_gf128_mul_rev_distribute_left", "Vale.AES.GHash_BE.g_power", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_ghash_poly_unroll (h0 prev: poly) (data: (int -> poly128)) (k: int) (m: nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) =
let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc ( == ) { ghash_poly_unroll h0 prev data k m 0; ( == ) { () } (prev +. d) *~ p1; ( == ) { () } (ghash0 +. d) *~ h0; ( == ) { () } ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc ( == ) { ghash_poly_unroll h0 prev data k m 0; ( == ) { () } unroll1 +. d *~ p1; ( == ) { calc ( == ) { unroll1; ( == ) { lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0 } unroll0 *~ h0; ( == ) { lemma_ghash_poly_unroll h0 prev data k (m - 1) } ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; ( == ) { lemma_gf128_mul_rev_distribute_left ghash0 d h0 } (ghash0 +. d) *~ h0; ( == ) { () } ghash_poly h0 prev data k (k + m + 1); }
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward_rec
val lemma_ghash_unroll_back_forward_rec (h prev: poly) (data: (int -> poly128)) (k: int) (n m: nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m)
val lemma_ghash_unroll_back_forward_rec (h prev: poly) (data: (int -> poly128)) (k: int) (n m: nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m)
let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 75, "end_line": 41, "start_col": 0, "start_line": 35 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> n: Prims.nat -> m: Prims.nat -> FStar.Pervasives.Lemma (requires m < n) (ensures Vale.AES.GHash_BE.ghash_unroll h prev data k n 0 == Vale.AES.GHash_BE.ghash_unroll h prev data k (n - 1 - m) (m + 1) +. Vale.AES.GHash_BE.ghash_unroll_back h prev data k (n + 1) m)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_GreaterThan", "Vale.AES.GHash_BE.lemma_ghash_unroll_back_forward_rec", "Prims.op_Subtraction", "Prims.bool", "Prims.unit", "Vale.Math.Poly2.Lemmas.lemma_add_all", "Prims.b2t", "Prims.op_LessThan", "Prims.squash", "Prims.eq2", "Vale.AES.GHash_BE.ghash_unroll", "Vale.Math.Poly2.op_Plus_Dot", "Prims.op_Addition", "Vale.AES.GHash_BE.ghash_unroll_back", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_ghash_unroll_back_forward_rec (h prev: poly) (data: (int -> poly128)) (k: int) (n m: nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) =
lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_poly_unroll_n
val lemma_ghash_poly_unroll_n (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h)
val lemma_ghash_poly_unroll_n (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h)
let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; }
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 115, "start_col": 0, "start_line": 76 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); }
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> m: Prims.nat -> n: Prims.nat -> FStar.Pervasives.Lemma (ensures Vale.AES.GHash_BE.ghash_poly_unroll h prev data k m (n + 1) == Vale.AES.GHash_BE.ghash_poly_unroll h prev data k m n *~ h)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_Equality", "FStar.Calc.calc_finish", "Prims.eq2", "Vale.AES.GHash_BE.ghash_poly_unroll", "Prims.op_Addition", "Vale.AES.GF128.op_Star_Tilde", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "Vale.Math.Poly2.op_Plus_Dot", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Prims.squash", "Vale.AES.GF128.lemma_gf128_mul_rev_commute", "Vale.AES.GF128.lemma_gf128_mul_rev_associate", "Prims.bool", "Vale.AES.GHash_BE.lemma_ghash_poly_unroll_n", "Prims.op_Subtraction", "Vale.AES.GF128.lemma_gf128_mul_rev_distribute_left", "Vale.AES.GHash_BE.g_power", "Prims.l_True", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_ghash_poly_unroll_n (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) =
let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc ( == ) { ghash_poly_unroll h prev data k m (n + 1); ( == ) { () } (prev +. d) *~ p1; ( == ) { () } (prev +. d) *~ (h *~ p0); ( == ) { lemma_gf128_mul_rev_commute p0 h } (prev +. d) *~ (p0 *~ h); ( == ) { lemma_gf128_mul_rev_associate (prev +. d) p0 h } ((prev +. d) *~ p0) *~ h; ( == ) { () } ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc ( == ) { ghash_poly_unroll h prev data k m (n + 1); ( == ) { () } ghash1 +. d *~ p1; ( == ) { lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1) } ghash0 *~ h +. d *~ p1; ( == ) { () } ghash0 *~ h +. d *~ (h *~ p0); ( == ) { lemma_gf128_mul_rev_commute p0 h } ghash0 *~ h +. d *~ (p0 *~ h); ( == ) { lemma_gf128_mul_rev_associate d p0 h } ghash0 *~ h +. (d *~ p0) *~ h; ( == ) { lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h } (ghash0 +. d *~ p0) *~ h; ( == ) { () } ghash_poly_unroll h prev data k m n *~ h; }
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_hash_append2
val lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) : Lemma (requires y_mid = ghash_incremental0 h y_init s1 /\ y_final = ghash_incremental h y_mid (create 1 q)) (ensures y_final == ghash_incremental h y_init (s1 @| (create 1 q)))
val lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) : Lemma (requires y_mid = ghash_incremental0 h y_init s1 /\ y_final = ghash_incremental h y_mid (create 1 q)) (ensures y_final == ghash_incremental h y_init (s1 @| (create 1 q)))
let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 292, "start_col": 0, "start_line": 283 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> y_init: Vale.Def.Types_s.quad32 -> y_mid: Vale.Def.Types_s.quad32 -> y_final: Vale.Def.Types_s.quad32 -> s1: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> q: Vale.Def.Types_s.quad32 -> FStar.Pervasives.Lemma (requires y_mid = Vale.AES.GHash_BE.ghash_incremental0 h y_init s1 /\ y_final = Vale.AES.GHash_BE.ghash_incremental h y_mid (FStar.Seq.Base.create 1 q)) (ensures y_final == Vale.AES.GHash_BE.ghash_incremental h y_init (s1 @| FStar.Seq.Base.create 1 q))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.unit", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.length", "Prims._assert", "FStar.Seq.Base.equal", "Prims.bool", "Vale.AES.GHash_BE.lemma_hash_append", "FStar.Seq.Base.op_At_Bar", "FStar.Seq.Base.create" ]
[]
false
false
true
false
false
let lemma_hash_append2 (h y_init y_mid y_final: quad32) (s1: seq quad32) (q: quad32) =
let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then (assert (equal s12 qs)) else (lemma_hash_append h y_init s1 qs); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.ghash_incremental_bytes_pure_no_extra
val ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads))
val ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads))
let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 311, "start_col": 0, "start_line": 294 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
old_io: Vale.Def.Types_s.quad32 -> io: Vale.Def.Types_s.quad32 -> h: Vale.Def.Types_s.quad32 -> in_quads: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> num_bytes: Vale.Def.Types_s.nat64 -> FStar.Pervasives.Lemma (requires io = Vale.AES.GHash_BE.ghash_incremental0 h old_io in_quads) (ensures FStar.Seq.Base.length in_quads == num_bytes / 16 /\ num_bytes % 16 == 0 ==> (let input_bytes = FStar.Seq.Base.slice (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE (Vale.Def.Words.Seq_s.seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = Vale.AES.GCTR_BE_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> FStar.Seq.Base.length input_quads > 0 /\ io == Vale.AES.GHash_BE.ghash_incremental h old_io input_quads))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Vale.Def.Types_s.nat64", "Prims.unit", "Prims.op_AmpAmp", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.length", "Prims.op_Division", "Prims.op_Modulus", "Prims.op_GreaterThan", "Vale.Arch.Types.be_bytes_to_seq_quad32_to_bytes", "Vale.AES.GCM_helpers_BE.no_extra_bytes_helper", "Vale.Def.Words_s.nat8", "FStar.Seq.Base.slice", "Vale.Def.Types_s.nat8", "Vale.Def.Types_s.le_seq_quad32_to_bytes", "Prims.bool", "Prims.b2t", "Vale.AES.GHash_BE.ghash_incremental0", "Prims.squash", "Prims.l_imp", "Prims.l_and", "Prims.eq2", "Vale.AES.GHash_BE.ghash_incremental", "Vale.Def.Types_s.be_bytes_to_seq_quad32", "Vale.AES.GCTR_BE_s.pad_to_128_bits", "Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE", "Vale.Def.Words.Seq_s.seq_four_to_seq_BE", "Vale.Def.Types_s.nat32", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
true
false
false
let ghash_incremental_bytes_pure_no_extra (old_io io h: quad32) (in_quads: seq quad32) (num_bytes: nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) =
if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then (let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; ()); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_incremental_bytes_extra_helper
val lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * length input /\ 16 * (length input - 1) < num_bytes /\ num_bytes % 16 <> 0 /\ //4096 * num_bytes < pow2_32 /\ (let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in y_mid = ghash_incremental0 h y_init full_blocks /\ final == index input num_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded))))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads))
val lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * length input /\ 16 * (length input - 1) < num_bytes /\ num_bytes % 16 <> 0 /\ //4096 * num_bytes < pow2_32 /\ (let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in y_mid = ghash_incremental0 h y_init full_blocks /\ final == index input num_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded))))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads))
let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) // Precondition definitions = let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in // Postcondition definitions let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); //// Need to show that input_quads == full_blocks @| (create 1 final_padded) // First show that the inputs to input_quads corresponds pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); // Start deconstructing input_quads append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks)) padded_bytes; // Distribute the be_bytes_to_seq_quad32 assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 343, "start_col": 0, "start_line": 314 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); () let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 30, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> y_init: Vale.Def.Types_s.quad32 -> y_mid: Vale.Def.Types_s.quad32 -> y_final: Vale.Def.Types_s.quad32 -> input: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> final: Vale.Def.Types_s.quad32 -> final_padded: Vale.Def.Types_s.quad32 -> num_bytes: Prims.nat -> FStar.Pervasives.Lemma (requires 1 <= num_bytes /\ num_bytes < 16 * FStar.Seq.Base.length input /\ 16 * (FStar.Seq.Base.length input - 1) < num_bytes /\ num_bytes % 16 <> 0 /\ (let num_blocks = num_bytes / 16 in let full_blocks = FStar.Seq.Base.slice input 0 num_blocks in y_mid = Vale.AES.GHash_BE.ghash_incremental0 h y_init full_blocks /\ final == FStar.Seq.Base.index input num_blocks /\ (let padded_bytes = Vale.AES.GCTR_BE_s.pad_to_128_bits (FStar.Seq.Base.slice (Vale.Arch.Types.be_quad32_to_bytes final) 0 (num_bytes % 16)) in FStar.Seq.Base.length padded_bytes == 16 /\ final_padded == Vale.Def.Types_s.be_bytes_to_quad32 padded_bytes /\ y_final = Vale.AES.GHash_BE.ghash_incremental h y_mid (FStar.Seq.Base.create 1 final_padded)))) (ensures (let input_bytes = FStar.Seq.Base.slice (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE (Vale.Def.Words.Seq_s.seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes = Vale.AES.GCTR_BE_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.be_bytes_to_seq_quad32 padded_bytes in FStar.Seq.Base.length padded_bytes == 16 * FStar.Seq.Base.length input_quads /\ y_final == Vale.AES.GHash_BE.ghash_incremental h y_init input_quads))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.nat", "Prims.unit", "Prims._assert", "Prims.eq2", "FStar.Seq.Base.op_At_Bar", "FStar.Seq.Base.create", "Vale.Arch.Types.be_bytes_to_seq_quad_of_singleton", "Vale.Def.Types_s.be_bytes_to_seq_quad32", "Vale.Arch.Types.be_bytes_to_seq_quad32_to_bytes", "FStar.Seq.Base.slice", "Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE", "Vale.Def.Words.Seq_s.seq_four_to_seq_BE", "Vale.Def.Types_s.nat32", "Vale.Arch.Types.append_distributes_be_bytes_to_seq_quad32", "Vale.Def.Types_s.nat8", "Vale.Def.Words_s.nat8", "Vale.AES.GCTR_BE_s.pad_to_128_bits", "Vale.Arch.Types.be_quad32_to_bytes", "Prims.op_Modulus", "Vale.AES.GCM_helpers_BE.pad_to_128_bits_be_quad32_to_bytes", "Vale.AES.GHash_BE.ghash_incremental", "Vale.AES.GHash_BE.lemma_hash_append2", "Prims.int", "Prims.op_Division" ]
[]
true
false
true
false
false
let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final: quad32) (input: seq quad32) (final final_padded: quad32) (num_bytes: nat) =
let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) ) padded_bytes; assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.ghash_incremental_to_ghash
val ghash_incremental_to_ghash (h:quad32) (x:seq quad32) : Lemma (requires length x > 0) (ensures ghash_incremental h (Mkfour 0 0 0 0) x == ghash_BE h x) (decreases %[length x])
val ghash_incremental_to_ghash (h:quad32) (x:seq quad32) : Lemma (requires length x > 0) (ensures ghash_incremental h (Mkfour 0 0 0 0) x == ghash_BE h x) (decreases %[length x])
let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x)
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 52, "end_line": 249, "start_col": 0, "start_line": 244 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> x: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> FStar.Pervasives.Lemma (requires FStar.Seq.Base.length x > 0) (ensures Vale.AES.GHash_BE.ghash_incremental h (Vale.Def.Words_s.Mkfour 0 0 0 0) x == Vale.AES.GHash_BE_s.ghash_BE h x) (decreases FStar.Seq.Base.length x)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.op_Equality", "Prims.int", "FStar.Seq.Base.length", "Prims.bool", "Vale.AES.GHash_BE.ghash_incremental_to_ghash", "Vale.Lib.Seqs_s.all_but_last", "Prims.unit", "Vale.AES.GHash_BE_s.ghash_BE_reveal", "Vale.AES.GHash_BE.ghash_incremental_reveal" ]
[ "recursion" ]
false
false
true
false
false
let rec ghash_incremental_to_ghash (h: quad32) (x: seq quad32) =
ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x)
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_incremental_poly_rec
val lemma_ghash_incremental_poly_rec (h_BE y_prev: quad32) (x: seq quad32) (data: (int -> poly128)) : Lemma (requires (forall (i: int). {:pattern data i\/index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i))) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x)) (decreases (length x))
val lemma_ghash_incremental_poly_rec (h_BE y_prev: quad32) (x: seq quad32) (data: (int -> poly128)) : Lemma (requires (forall (i: int). {:pattern data i\/index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i))) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x)) (decreases (length x))
let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; }
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 234, "start_col": 0, "start_line": 201 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h_BE: Vale.Def.Types_s.quad32 -> y_prev: Vale.Def.Types_s.quad32 -> x: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> FStar.Pervasives.Lemma (requires forall (i: Prims.int). {:pattern data i\/FStar.Seq.Base.index x i} 0 <= i && i < FStar.Seq.Base.length x ==> data i == Vale.Math.Poly2.Bits_s.of_quad32 (FStar.Seq.Base.index x i)) (ensures Vale.Math.Poly2.Bits_s.of_quad32 (Vale.AES.GHash_BE.ghash_incremental_def h_BE y_prev x) == Vale.AES.GHash_BE.ghash_poly (Vale.Math.Poly2.Bits_s.of_quad32 h_BE) (Vale.Math.Poly2.Bits_s.of_quad32 y_prev) data 0 (FStar.Seq.Base.length x)) (decreases FStar.Seq.Base.length x)
FStar.Pervasives.Lemma
[ "lemma", "" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.op_GreaterThan", "FStar.Calc.calc_finish", "Vale.Math.Poly2_s.poly", "Prims.eq2", "Vale.AES.GHash_BE.ghash_incremental_def", "Vale.AES.GHash_BE.ghash_poly", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "Vale.AES.GF128.op_Star_Tilde", "Vale.Math.Poly2.op_Plus_Dot", "Prims.op_Subtraction", "Vale.AES.GHash_BE_s.gf128_mul_BE", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Prims.squash", "Vale.Math.Poly2.Bits.lemma_of_to_quad32", "Vale.Math.Poly2.Words.lemma_add_quad32", "Vale.AES.GHash_BE.lemma_ghash_incremental_poly_rec", "Vale.Lib.Seqs_s.all_but_last", "Vale.AES.GF128_s.gf128_modulus", "Vale.Def.Types_s.quad32_xor", "FStar.Seq.Properties.last", "Prims.bool", "Prims.nat", "FStar.Seq.Base.length", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.AES.GHash_BE.ghash_incremental_reveal", "Prims.l_Forall", "Prims.l_imp", "Prims.b2t", "Prims.op_AmpAmp", "Prims.op_LessThanOrEqual", "Prims.op_LessThan", "FStar.Seq.Base.index", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_ghash_incremental_poly_rec (h_BE y_prev: quad32) (x: seq quad32) (data: (int -> poly128)) : Lemma (requires (forall (i: int). {:pattern data i\/index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i))) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x)) (decreases (length x)) =
ghash_incremental_reveal (); let ( ~~ ) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc ( == ) { ~~(ghash_incremental_def h_BE y_prev x); ( == ) { () } ~~(gf128_mul_BE xor_BE h_BE); ( == ) { lemma_of_to_quad32 (~~xor_BE *~ h) } ~~xor_BE *~ h; ( == ) { lemma_add_quad32 y_i_minus_1 x_i } (~~y_i_minus_1 +. ~~x_i) *~ h; ( == ) { lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data } (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; ( == ) { () } ghash_poly h prev data 0 m; }
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_unroll_poly_unroll
val lemma_ghash_unroll_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n)
val lemma_ghash_unroll_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n)
let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; }
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 194, "start_col": 0, "start_line": 157 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); }
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Math.Poly2_s.poly -> prev: Vale.Math.Poly2_s.poly -> data: (_: Prims.int -> Vale.AES.GHash_BE.poly128) -> k: Prims.int -> m: Prims.nat -> n: Prims.nat -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree h < 128 /\ Vale.Math.Poly2_s.degree prev < 128) (ensures Vale.AES.GF128.mod_rev 128 (Vale.AES.GHash_BE.ghash_unroll h prev data k m n) Vale.AES.GF128_s.gf128_modulus == Vale.AES.GHash_BE.ghash_poly_unroll h prev data k m n)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.int", "Vale.AES.GHash_BE.poly128", "Prims.nat", "Prims.op_Equality", "FStar.Calc.calc_finish", "Prims.eq2", "Vale.AES.GF128.mod_rev", "Vale.AES.GHash_BE.ghash_unroll", "Vale.AES.GHash_BE.ghash_poly_unroll", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "Prims.unit", "FStar.Calc.calc_step", "Vale.AES.GF128.op_Star_Tilde", "Vale.Math.Poly2.op_Plus_Dot", "Vale.Math.Poly2.op_Star_Dot", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Prims.squash", "Vale.AES.GHash_BE.lemma_gf128_mul_rev_mod_rev", "Prims.bool", "Vale.AES.GF128.lemma_add_mod_rev", "Vale.AES.GHash_BE.lemma_ghash_unroll_poly_unroll", "Prims.op_Subtraction", "Prims.op_Addition", "Vale.AES.GF128.lemma_gf128_degree", "Vale.AES.GHash_BE.shift_gf128_key_1", "Vale.AES.GHash_BE.g_power", "Vale.AES.GF128_s.gf128_modulus", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_ghash_unroll_poly_unroll (h prev: poly) (data: (int -> poly128)) (k: int) (m n: nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n) =
let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc ( == ) { mod_rev 128 (ghash_unroll h prev data k m n) g; ( == ) { () } mod_rev 128 ((prev +. d) *. sp) g; ( == ) { lemma_gf128_mul_rev_mod_rev (prev +. d) p } (prev +. d) *~ p; ( == ) { () } ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc ( == ) { mod_rev 128 (ghash_unroll h prev data k m n) g; ( == ) { () } mod_rev 128 (unroll1 +. d *. sp) g; ( == ) { lemma_add_mod_rev 128 unroll1 (d *. sp) g } mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; ( == ) { lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1) } ghash0 +. mod_rev 128 (d *. sp) g; ( == ) { lemma_gf128_mul_rev_mod_rev d p } ghash0 +. d *~ p; ( == ) { () } ghash_poly_unroll h prev data k m n; }
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_swap128_mask_shift
val lemma_swap128_mask_shift (a:poly) : Lemma (requires degree a < 128) (ensures ( let a_sw = swap a 64 in mask a 64 == shift a_sw (-64) /\ shift a (-64) == mask a_sw 64 ))
val lemma_swap128_mask_shift (a:poly) : Lemma (requires degree a < 128) (ensures ( let a_sw = swap a 64 in mask a 64 == shift a_sw (-64) /\ shift a (-64) == mask a_sw 64 ))
let lemma_swap128_mask_shift (a:poly) : Lemma (requires degree a < 128) (ensures ( let a_sw = swap a 64 in mask a 64 == shift a_sw (-64) /\ shift a (-64) == mask a_sw 64 )) = lemma_quad32_double_swap a; lemma_quad32_double a; lemma_quad32_double (swap a 64); lemma_mask_is_mod a 64; lemma_shift_is_div (swap a 64) 64; lemma_shift_is_div a 64; lemma_mask_is_mod (swap a 64) 64
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 34, "end_line": 406, "start_col": 0, "start_line": 392 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); () let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; () #reset-options "--z3rlimit 30" let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) // Precondition definitions = let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in // Postcondition definitions let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); //// Need to show that input_quads == full_blocks @| (create 1 final_padded) // First show that the inputs to input_quads corresponds pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); // Start deconstructing input_quads append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks)) padded_bytes; // Distribute the be_bytes_to_seq_quad32 assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); () let lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads)) = let q_in = append input_blocks (create 1 final) in let num_blocks = num_bytes / 16 in let full_blocks = slice q_in 0 num_blocks in assert (equal full_blocks input_blocks); lemma_ghash_incremental_bytes_extra_helper h y_init y_mid y_final q_in final final_padded num_bytes let lemma_div_distribute a b c = let ab = a +. b in let a' = a /. c in let b' = b /. c in let ab' = ab /. c in let a'' = a %. c in let b'' = b %. c in let ab'' = ab %. c in lemma_div_mod a c; lemma_div_mod b c; lemma_div_mod ab c; // (a +. b) == (a) +. (b) assert ((ab' *. c +. ab'') == (a' *. c +. a'') +. (b' *. c +. b'')); lemma_add_define_all (); lemma_equal (ab' *. c +. a' *. c +. b' *. c) (ab'' +. a'' +. b''); lemma_mul_distribute_left ab' a' c; lemma_mul_distribute_left (ab' +. a') b' c; assert ((ab' +. a' +. b') *. c == ab'' +. a'' +. b''); lemma_mul_smaller_is_zero (ab' +. a' +. b') c; assert (ab' +. a' +. b' == zero); lemma_zero_define (); lemma_equal ab' (a' +. b'); ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 30, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Vale.Math.Poly2_s.poly -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree a < 128) (ensures (let a_sw = Vale.Math.Poly2.swap a 64 in Vale.Math.Poly2.mask a 64 == Vale.Math.Poly2_s.shift a_sw (- 64) /\ Vale.Math.Poly2_s.shift a (- 64) == Vale.Math.Poly2.mask a_sw 64))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Vale.Math.Poly2.Lemmas.lemma_mask_is_mod", "Vale.Math.Poly2.swap", "Prims.unit", "Vale.Math.Poly2.Lemmas.lemma_shift_is_div", "Vale.Math.Poly2.Bits.lemma_quad32_double", "Vale.Math.Poly2.Words.lemma_quad32_double_swap", "Prims.b2t", "Prims.op_LessThan", "Vale.Math.Poly2_s.degree", "Prims.squash", "Prims.l_and", "Prims.eq2", "Vale.Math.Poly2.mask", "Vale.Math.Poly2_s.shift", "Prims.op_Minus", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let lemma_swap128_mask_shift (a: poly) : Lemma (requires degree a < 128) (ensures (let a_sw = swap a 64 in mask a 64 == shift a_sw (- 64) /\ shift a (- 64) == mask a_sw 64)) =
lemma_quad32_double_swap a; lemma_quad32_double a; lemma_quad32_double (swap a 64); lemma_mask_is_mod a 64; lemma_shift_is_div (swap a 64) 64; lemma_shift_is_div a 64; lemma_mask_is_mod (swap a 64) 64
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_div_distribute
val lemma_div_distribute (a b c:poly) : Lemma (requires degree c >= 0) (ensures (a +. b) /. c == (a /. c) +. (b /. c))
val lemma_div_distribute (a b c:poly) : Lemma (requires degree c >= 0) (ensures (a +. b) /. c == (a /. c) +. (b /. c))
let lemma_div_distribute a b c = let ab = a +. b in let a' = a /. c in let b' = b /. c in let ab' = ab /. c in let a'' = a %. c in let b'' = b %. c in let ab'' = ab %. c in lemma_div_mod a c; lemma_div_mod b c; lemma_div_mod ab c; // (a +. b) == (a) +. (b) assert ((ab' *. c +. ab'') == (a' *. c +. a'') +. (b' *. c +. b'')); lemma_add_define_all (); lemma_equal (ab' *. c +. a' *. c +. b' *. c) (ab'' +. a'' +. b''); lemma_mul_distribute_left ab' a' c; lemma_mul_distribute_left (ab' +. a') b' c; assert ((ab' +. a' +. b') *. c == ab'' +. a'' +. b''); lemma_mul_smaller_is_zero (ab' +. a' +. b') c; assert (ab' +. a' +. b' == zero); lemma_zero_define (); lemma_equal ab' (a' +. b'); ()
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 4, "end_line": 390, "start_col": 0, "start_line": 368 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); () let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; () #reset-options "--z3rlimit 30" let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) // Precondition definitions = let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in // Postcondition definitions let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); //// Need to show that input_quads == full_blocks @| (create 1 final_padded) // First show that the inputs to input_quads corresponds pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); // Start deconstructing input_quads append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks)) padded_bytes; // Distribute the be_bytes_to_seq_quad32 assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); () let lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads)) = let q_in = append input_blocks (create 1 final) in let num_blocks = num_bytes / 16 in let full_blocks = slice q_in 0 num_blocks in assert (equal full_blocks input_blocks); lemma_ghash_incremental_bytes_extra_helper h y_init y_mid y_final q_in final final_padded num_bytes
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 30, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Vale.Math.Poly2_s.poly -> b: Vale.Math.Poly2_s.poly -> c: Vale.Math.Poly2_s.poly -> FStar.Pervasives.Lemma (requires Vale.Math.Poly2_s.degree c >= 0) (ensures (a +. b) /. c == a /. c +. b /. c)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Math.Poly2_s.poly", "Prims.unit", "Vale.Math.Poly2.lemma_equal", "Vale.Math.Poly2.op_Plus_Dot", "Vale.Math.Poly2.Lemmas.lemma_zero_define", "Prims._assert", "Prims.eq2", "Vale.Math.Poly2_s.zero", "Vale.Math.Poly2.Lemmas.lemma_mul_smaller_is_zero", "Vale.Math.Poly2.op_Star_Dot", "Vale.Math.Poly2.Lemmas.lemma_mul_distribute_left", "Vale.Math.Poly2.Lemmas.lemma_add_define_all", "Vale.Math.Poly2.lemma_div_mod", "Vale.Math.Poly2.op_Percent_Dot", "Vale.Math.Poly2.op_Slash_Dot" ]
[]
true
false
true
false
false
let lemma_div_distribute a b c =
let ab = a +. b in let a' = a /. c in let b' = b /. c in let ab' = ab /. c in let a'' = a %. c in let b'' = b %. c in let ab'' = ab %. c in lemma_div_mod a c; lemma_div_mod b c; lemma_div_mod ab c; assert ((ab' *. c +. ab'') == (a' *. c +. a'') +. (b' *. c +. b'')); lemma_add_define_all (); lemma_equal (ab' *. c +. a' *. c +. b' *. c) (ab'' +. a'' +. b''); lemma_mul_distribute_left ab' a' c; lemma_mul_distribute_left (ab' +. a') b' c; assert ((ab' +. a' +. b') *. c == ab'' +. a'' +. b''); lemma_mul_smaller_is_zero (ab' +. a' +. b') c; assert (ab' +. a' +. b' == zero); lemma_zero_define (); lemma_equal ab' (a' +. b'); ()
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_ghash_incremental_bytes_extra_helper_alt
val lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads))
val lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads))
let lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads)) = let q_in = append input_blocks (create 1 final) in let num_blocks = num_bytes / 16 in let full_blocks = slice q_in 0 num_blocks in assert (equal full_blocks input_blocks); lemma_ghash_incremental_bytes_extra_helper h y_init y_mid y_final q_in final final_padded num_bytes
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 101, "end_line": 366, "start_col": 0, "start_line": 345 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); () let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; () #reset-options "--z3rlimit 30" let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) // Precondition definitions = let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in // Postcondition definitions let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); //// Need to show that input_quads == full_blocks @| (create 1 final_padded) // First show that the inputs to input_quads corresponds pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); // Start deconstructing input_quads append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks)) padded_bytes; // Distribute the be_bytes_to_seq_quad32 assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); ()
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 30, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: Vale.Def.Types_s.quad32 -> y_init: Vale.Def.Types_s.quad32 -> y_mid: Vale.Def.Types_s.quad32 -> y_final: Vale.Def.Types_s.quad32 -> input_blocks: FStar.Seq.Base.seq Vale.Def.Types_s.quad32 -> final: Vale.Def.Types_s.quad32 -> final_padded: Vale.Def.Types_s.quad32 -> num_bytes: Prims.nat -> FStar.Pervasives.Lemma (requires 1 <= num_bytes /\ num_bytes < 16 * FStar.Seq.Base.length input_blocks + 16 /\ 16 * FStar.Seq.Base.length input_blocks < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = Vale.AES.GHash_BE.ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = Vale.AES.GCTR_BE_s.pad_to_128_bits (FStar.Seq.Base.slice (Vale.Arch.Types.be_quad32_to_bytes final) 0 (num_bytes % 16)) in FStar.Seq.Base.length padded_bytes == 16 /\ final_padded == Vale.Def.Types_s.be_bytes_to_quad32 padded_bytes /\ y_final = Vale.AES.GHash_BE.ghash_incremental h y_mid (FStar.Seq.Base.create 1 final_padded))) (ensures (let input_bytes = FStar.Seq.Base.slice (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE (Vale.Def.Words.Seq_s.seq_four_to_seq_BE (FStar.Seq.Base.append input_blocks (FStar.Seq.Base.create 1 final)))) 0 num_bytes in let padded_bytes = Vale.AES.GCTR_BE_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.be_bytes_to_seq_quad32 padded_bytes in FStar.Seq.Base.length padded_bytes == 16 * FStar.Seq.Base.length input_quads /\ y_final == Vale.AES.GHash_BE.ghash_incremental h y_init input_quads))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.Def.Types_s.quad32", "FStar.Seq.Base.seq", "Prims.nat", "Vale.AES.GHash_BE.lemma_ghash_incremental_bytes_extra_helper", "Prims.unit", "Prims._assert", "FStar.Seq.Base.equal", "FStar.Seq.Base.slice", "Prims.int", "Prims.op_Division", "FStar.Seq.Base.append", "FStar.Seq.Base.create", "Prims.l_and", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.op_LessThan", "Prims.op_Addition", "FStar.Mul.op_Star", "FStar.Seq.Base.length", "Prims.op_disEquality", "Prims.op_Modulus", "Prims.op_Equality", "Vale.AES.GHash_BE.ghash_incremental0", "Prims.eq2", "Vale.Def.Types_s.nat8", "Vale.Def.Types_s.be_bytes_to_quad32", "Vale.AES.GHash_BE.ghash_incremental", "Vale.Def.Words_s.nat8", "Vale.AES.GCTR_BE_s.pad_to_128_bits", "Vale.Arch.Types.be_quad32_to_bytes", "Prims.squash", "Vale.Def.Types_s.be_bytes_to_seq_quad32", "Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_BE", "Vale.Def.Words.Seq_s.seq_four_to_seq_BE", "Vale.Def.Types_s.nat32", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final: quad32) (input_blocks: seq quad32) (final final_padded: quad32) (num_bytes: nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads)) =
let q_in = append input_blocks (create 1 final) in let num_blocks = num_bytes / 16 in let full_blocks = slice q_in 0 num_blocks in assert (equal full_blocks input_blocks); lemma_ghash_incremental_bytes_extra_helper h y_init y_mid y_final q_in final final_padded num_bytes
false
Vale.AES.GHash_BE.fst
Vale.AES.GHash_BE.lemma_gf128_constant_shift_rev
val lemma_gf128_constant_shift_rev (_:unit) : Lemma (mask (of_quad32 (Mkfour 0 0xc2000000 0 0)) 64 == reverse gf128_low_shift 63 /\ shift (of_quad32 (Mkfour 0 0xc2000000 0 0)) (-64) == zero)
val lemma_gf128_constant_shift_rev (_:unit) : Lemma (mask (of_quad32 (Mkfour 0 0xc2000000 0 0)) 64 == reverse gf128_low_shift 63 /\ shift (of_quad32 (Mkfour 0 0xc2000000 0 0)) (-64) == zero)
let lemma_gf128_constant_shift_rev () = let n0:nat32 = 0 in let n1:nat32 = 0xc2000000 in let n2:nat32 = 0 in let n3:nat32 = 0 in let r3 = gf128_low_shift in calc (==) { of_quad32 (Mkfour n0 n1 n2 n3); == { calc (==) { Mkfour n0 n1 n2 n3; == {lemma_quad32_of_nat32s n0 n1 n2 n3} to_quad32 (poly128_of_nat32s n0 n1 n2 n3); == { lemma_bitwise_all (); lemma_to_nat 32 (reverse r3 31) n1; lemma_equal (poly128_of_nat32s n0 n1 n2 n3) (reverse r3 63) } to_quad32 (reverse r3 63); } } of_quad32 (to_quad32 (reverse r3 63)); == {lemma_of_to_quad32 (reverse r3 63)} reverse r3 63; }; lemma_bitwise_all (); lemma_split_define (reverse gf128_low_shift 63) 64; lemma_equal (mask (reverse gf128_low_shift 63) 64) (reverse gf128_low_shift 63); lemma_equal (shift (reverse gf128_low_shift 63) (-64)) zero
{ "file_name": "vale/code/crypto/aes/Vale.AES.GHash_BE.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 61, "end_line": 437, "start_col": 0, "start_line": 408 }
module Vale.AES.GHash_BE open FStar.Mul open Vale.Math.Poly2.Lemmas open Vale.Math.Poly2.Words friend Vale.AES.OptPublic_BE #reset-options let shift_gf128_key_1 (h:poly) : poly = shift_key_1 128 gf128_modulus_low_terms h let rec g_power (a:poly) (n:nat) : poly = if n = 0 then zero else // arbitrary value for n = 0 if n = 1 then a else a *~ g_power a (n - 1) let lemma_g_power_1 a = () let lemma_g_power_n a n = () let gf128_power h n = shift_gf128_key_1 (g_power h n) let lemma_gf128_power h n = () let rec ghash_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : poly = let d = data (k + m) in let p = g_power h (n + 1) in if m = 0 then (prev +. d) *~ p else ghash_poly_unroll h prev data k (m - 1) (n + 1) +. d *~ p let lemma_hkeys_reqs_pub_priv (hkeys:seq quad32) (h_BE:quad32) : Lemma (hkeys_reqs_pub hkeys h_BE <==> hkeys_reqs_priv hkeys h_BE) = () let rec lemma_ghash_unroll_back_forward_rec (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n m:nat) : Lemma (requires m < n) (ensures ghash_unroll h prev data k n 0 == ghash_unroll h prev data k (n - 1 - m) (m + 1) +. ghash_unroll_back h prev data k (n + 1) m) = lemma_add_all (); if m > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (m - 1) let lemma_ghash_unroll_back_forward (h:poly) (prev:poly) (data:int -> poly128) (k:int) (n:nat) : Lemma (ghash_unroll h prev data k n 0 == ghash_unroll_back h prev data k (n + 1) n) = lemma_add_all (); if n > 0 then lemma_ghash_unroll_back_forward_rec h prev data k n (n - 1) let lemma_gf128_mul_rev_mod_rev (a h:poly) : Lemma (requires degree a < 128 /\ degree h < 128) (ensures gf128_mul_rev a h == mod_rev 128 (a *. shift_gf128_key_1 h) gf128_modulus) = let h1 = shift_gf128_key_1 h in let rev x = reverse x 127 in let g = gf128_modulus in lemma_gf128_degree (); calc (==) { // gf128_mul_rev a h rev ((rev a *. rev h) %. g); == {lemma_mod_mul_mod_right (rev a) (rev h) g} rev ((rev a *. (rev h %. g)) %. g); == {lemma_shift_key_1 128 gf128_modulus_low_terms h} rev ((rev a *. (shift (rev h1) 1 %. g)) %. g); == {lemma_mod_mul_mod_right (rev a) (shift (rev h1) 1) g} rev ((rev a *. (shift (rev h1) 1)) %. g); == {lemma_shift_is_mul (rev h1) 1} rev ((rev a *. (rev h1 *. monomial 1)) %. g); == {lemma_mul_all ()} rev (((rev a *. rev h1) *. monomial 1) %. g); == {lemma_shift_is_mul (rev a *. rev h1) 1} rev (shift (rev a *. rev h1) 1 %. g); == {lemma_mul_reverse_shift_1 a h1 127} rev (reverse (a *. h1) 255 %. g); } let rec lemma_ghash_poly_unroll_n (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (ghash_poly_unroll h prev data k m (n + 1) == ghash_poly_unroll h prev data k m n *~ h) = let d = data (k + m) in let p0 = g_power h (n + 1) in let p1 = g_power h (n + 2) in if m = 0 then calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} (prev +. d) *~ p1; == {} (prev +. d) *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} (prev +. d) *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate (prev +. d) p0 h} ((prev +. d) *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } else let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in let ghash1 = ghash_poly_unroll h prev data k (m - 1) (n + 2) in calc (==) { ghash_poly_unroll h prev data k m (n + 1); == {} ghash1 +. d *~ p1; == {lemma_ghash_poly_unroll_n h prev data k (m - 1) (n + 1)} ghash0 *~ h +. d *~ p1; == {} ghash0 *~ h +. d *~ (h *~ p0); == {lemma_gf128_mul_rev_commute p0 h} ghash0 *~ h +. d *~ (p0 *~ h); == {lemma_gf128_mul_rev_associate d p0 h} ghash0 *~ h +. (d *~ p0) *~ h; == {lemma_gf128_mul_rev_distribute_left ghash0 (d *~ p0) h} (ghash0 +. d *~ p0) *~ h; == {} ghash_poly_unroll h prev data k m n *~ h; } let rec lemma_ghash_poly_unroll (h0:poly) (prev:poly) (data:int -> poly128) (k:int) (m:nat) : Lemma (requires degree h0 < 128 /\ degree prev < 128) (ensures ghash_poly_unroll h0 prev data k m 0 == ghash_poly h0 prev data k (k + m + 1)) = let d = data (k + m) in let p1 = g_power h0 1 in let ghash0 = ghash_poly h0 prev data k (k + m) in if m = 0 then calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} (prev +. d) *~ p1; == {} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } else let unroll0 = ghash_poly_unroll h0 prev data k (m - 1) 0 in let unroll1 = ghash_poly_unroll h0 prev data k (m - 1) 1 in calc (==) { ghash_poly_unroll h0 prev data k m 0; == {} unroll1 +. d *~ p1; == { calc (==) { unroll1; == {lemma_ghash_poly_unroll_n h0 prev data k (m - 1) 0} unroll0 *~ h0; == {lemma_ghash_poly_unroll h0 prev data k (m - 1)} ghash0 *~ h0; } } ghash0 *~ h0 +. d *~ h0; == {lemma_gf128_mul_rev_distribute_left ghash0 d h0} (ghash0 +. d) *~ h0; == {} ghash_poly h0 prev data k (k + m + 1); } let rec lemma_ghash_unroll_poly_unroll (h:poly) (prev:poly) (data:int -> poly128) (k:int) (m n:nat) : Lemma (requires degree h < 128 /\ degree prev < 128) (ensures mod_rev 128 (ghash_unroll h prev data k m n) gf128_modulus == ghash_poly_unroll h prev data k m n ) = let g = gf128_modulus in let d = data (k + m) in let p = g_power h (n + 1) in let sp = shift_gf128_key_1 p in lemma_gf128_degree (); if m = 0 then calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 ((prev +. d) *. sp) g; == {lemma_gf128_mul_rev_mod_rev (prev +. d) p} (prev +. d) *~ p; == {} ghash_poly_unroll h prev data k m n; } else let unroll1 = ghash_unroll h prev data k (m - 1) (n + 1) in let ghash0 = ghash_poly_unroll h prev data k (m - 1) (n + 1) in calc (==) { mod_rev 128 (ghash_unroll h prev data k m n) g; == {} mod_rev 128 (unroll1 +. d *. sp) g; == {lemma_add_mod_rev 128 unroll1 (d *. sp) g} mod_rev 128 unroll1 g +. mod_rev 128 (d *. sp) g; == {lemma_ghash_unroll_poly_unroll h prev data k (m - 1) (n + 1)} ghash0 +. mod_rev 128 (d *. sp) g; == {lemma_gf128_mul_rev_mod_rev d p} ghash0 +. d *~ p; == {} ghash_poly_unroll h prev data k m n; } let lemma_ghash_poly_of_unroll h prev data k m = lemma_ghash_poly_unroll h prev data k m; lemma_ghash_unroll_poly_unroll h prev data k m 0; () let rec lemma_ghash_incremental_poly_rec (h_BE:quad32) (y_prev:quad32) (x:seq quad32) (data:int -> poly128) : Lemma (requires (forall (i:int).{:pattern data i \/ index x i} 0 <= i && i < length x ==> data i == of_quad32 (index x i)) ) (ensures of_quad32 (ghash_incremental_def h_BE y_prev x) == ghash_poly (of_quad32 h_BE) (of_quad32 y_prev) data 0 (length x) ) (decreases (length x)) = ghash_incremental_reveal (); let (~~) = of_quad32 in let h = ~~h_BE in let prev = ~~y_prev in let m = length x in if m > 0 then let y_i_minus_1 = ghash_incremental_def h_BE y_prev (all_but_last x) in let x_i = last x in let xor_BE = quad32_xor y_i_minus_1 x_i in let g = gf128_modulus in calc (==) { ~~(ghash_incremental_def h_BE y_prev x); == {} ~~(gf128_mul_BE xor_BE h_BE); == {lemma_of_to_quad32 (~~xor_BE *~ h)} ~~xor_BE *~ h; == {lemma_add_quad32 y_i_minus_1 x_i} (~~y_i_minus_1 +. ~~x_i) *~ h; == {lemma_ghash_incremental_poly_rec h_BE y_prev (all_but_last x) data} (ghash_poly h prev data 0 (m - 1) +. data (m - 1)) *~ h; == {} ghash_poly h prev data 0 m; } let lemma_ghash_incremental_poly h_BE y_prev x = ghash_incremental_reveal (); lemma_ghash_incremental_poly_rec h_BE y_prev x (fun_seq_quad32_BE_poly128 x) let lemma_ghash_incremental_def_0 (h_BE:quad32) (y_prev:quad32) (x:seq quad32) = () let rec ghash_incremental_to_ghash (h:quad32) (x:seq quad32) = ghash_incremental_reveal (); ghash_BE_reveal (); if length x = 1 then () else ghash_incremental_to_ghash h (all_but_last x) let rec lemma_hash_append (h:quad32) (y_prev:quad32) (a b:ghash_plain_BE) = ghash_incremental_reveal (); let ab = append a b in assert (last ab == last b); if length b = 1 then (lemma_slice_first_exactly_in_append a b; assert (all_but_last ab == a); ()) else lemma_hash_append h y_prev a (all_but_last b); lemma_all_but_last_append a b; assert(all_but_last ab == append a (all_but_last b)); () let lemma_ghash_incremental0_append (h y0 y1 y2:quad32) (s1 s2:seq quad32) : Lemma (requires y1 = ghash_incremental0 h y0 s1 /\ y2 = ghash_incremental0 h y1 s2) (ensures y2 = ghash_incremental0 h y0 (s1 @| s2)) = let s12 = s1 @| s2 in if length s1 = 0 then ( assert (equal s12 s2) ) else ( if length s2 = 0 then ( assert (equal s12 s1) ) else ( lemma_hash_append h y0 s1 s2 ) ); () let lemma_hash_append2 (h y_init y_mid y_final:quad32) (s1:seq quad32) (q:quad32) = let qs = create 1 q in let s12 = s1 @| qs in if length s1 = 0 then ( assert(equal s12 qs) ) else ( lemma_hash_append h y_init s1 qs ); () let ghash_incremental_bytes_pure_no_extra (old_io io h:quad32) (in_quads:seq quad32) (num_bytes:nat64) : Lemma (requires io = ghash_incremental0 h old_io in_quads) (ensures length in_quads == (num_bytes / 16) /\ num_bytes % 16 == 0 ==> (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE in_quads)) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in num_bytes > 0 ==> length input_quads > 0 /\ io == ghash_incremental h old_io input_quads)) = if length in_quads = (num_bytes / 16) && num_bytes % 16 = 0 && num_bytes > 0 then ( let input_bytes = slice (le_seq_quad32_to_bytes in_quads) 0 num_bytes in no_extra_bytes_helper in_quads num_bytes; be_bytes_to_seq_quad32_to_bytes in_quads; () ) else () ; () #reset-options "--z3rlimit 30" let lemma_ghash_incremental_bytes_extra_helper (h y_init y_mid y_final:quad32) (input:seq quad32) (final final_padded:quad32) (num_bytes:nat) // Precondition definitions = let num_blocks = num_bytes / 16 in let full_blocks = slice input 0 num_blocks in let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in // Postcondition definitions let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE input)) 0 num_bytes in let padded_bytes' = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes' in lemma_hash_append2 h y_init y_mid y_final full_blocks final_padded; assert (y_final == ghash_incremental h y_init (full_blocks @| (create 1 final_padded))); //// Need to show that input_quads == full_blocks @| (create 1 final_padded) // First show that the inputs to input_quads corresponds pad_to_128_bits_be_quad32_to_bytes input num_bytes; assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (slice input 0 num_blocks)) @| pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16))); assert (padded_bytes' == seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks) @| padded_bytes); // Start deconstructing input_quads append_distributes_be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks)) padded_bytes; // Distribute the be_bytes_to_seq_quad32 assert (input_quads == (be_bytes_to_seq_quad32 (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE full_blocks))) @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad32_to_bytes (slice input 0 num_blocks); assert (input_quads == full_blocks @| (be_bytes_to_seq_quad32 padded_bytes)); be_bytes_to_seq_quad_of_singleton final_padded padded_bytes; assert (input_quads == full_blocks @| (create 1 final_padded)); () let lemma_ghash_incremental_bytes_extra_helper_alt (h y_init y_mid y_final:quad32) (input_blocks:seq quad32) (final final_padded:quad32) (num_bytes:nat) : Lemma (requires (1 <= num_bytes /\ num_bytes < 16 * (length input_blocks) + 16 /\ 16 * (length input_blocks) < num_bytes /\ num_bytes % 16 <> 0 /\ y_mid = ghash_incremental0 h y_init input_blocks /\ (let padded_bytes = pad_to_128_bits (slice (be_quad32_to_bytes final) 0 (num_bytes % 16)) in length padded_bytes == 16 /\ final_padded == be_bytes_to_quad32 padded_bytes /\ y_final = ghash_incremental h y_mid (create 1 final_padded)))) (ensures (let input_bytes = slice (seq_nat32_to_seq_nat8_BE (seq_four_to_seq_BE (append input_blocks (create 1 final)))) 0 num_bytes in let padded_bytes = pad_to_128_bits input_bytes in let input_quads = be_bytes_to_seq_quad32 padded_bytes in length padded_bytes == 16 * length input_quads /\ y_final == ghash_incremental h y_init input_quads)) = let q_in = append input_blocks (create 1 final) in let num_blocks = num_bytes / 16 in let full_blocks = slice q_in 0 num_blocks in assert (equal full_blocks input_blocks); lemma_ghash_incremental_bytes_extra_helper h y_init y_mid y_final q_in final final_padded num_bytes let lemma_div_distribute a b c = let ab = a +. b in let a' = a /. c in let b' = b /. c in let ab' = ab /. c in let a'' = a %. c in let b'' = b %. c in let ab'' = ab %. c in lemma_div_mod a c; lemma_div_mod b c; lemma_div_mod ab c; // (a +. b) == (a) +. (b) assert ((ab' *. c +. ab'') == (a' *. c +. a'') +. (b' *. c +. b'')); lemma_add_define_all (); lemma_equal (ab' *. c +. a' *. c +. b' *. c) (ab'' +. a'' +. b''); lemma_mul_distribute_left ab' a' c; lemma_mul_distribute_left (ab' +. a') b' c; assert ((ab' +. a' +. b') *. c == ab'' +. a'' +. b''); lemma_mul_smaller_is_zero (ab' +. a' +. b') c; assert (ab' +. a' +. b' == zero); lemma_zero_define (); lemma_equal ab' (a' +. b'); () let lemma_swap128_mask_shift (a:poly) : Lemma (requires degree a < 128) (ensures ( let a_sw = swap a 64 in mask a 64 == shift a_sw (-64) /\ shift a (-64) == mask a_sw 64 )) = lemma_quad32_double_swap a; lemma_quad32_double a; lemma_quad32_double (swap a 64); lemma_mask_is_mod a 64; lemma_shift_is_div (swap a 64) 64; lemma_shift_is_div a 64; lemma_mask_is_mod (swap a 64) 64
{ "checked_file": "/", "dependencies": [ "Vale.Math.Poly2.Words.fsti.checked", "Vale.Math.Poly2.Lemmas.fsti.checked", "Vale.AES.OptPublic_BE.fst.checked", "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Calc.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.GHash_BE.fst" }
[ { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Words", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic_BE", "short_module": null }, { "abbrev": false, "full_module": "FStar.Calc", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Seqs_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers_BE", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_BE_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 30, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
_: Prims.unit -> FStar.Pervasives.Lemma (ensures Vale.Math.Poly2.mask (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Words_s.Mkfour 0 0xc2000000 0 0)) 64 == Vale.Math.Poly2_s.reverse Vale.AES.GF128.gf128_low_shift 63 /\ Vale.Math.Poly2_s.shift (Vale.Math.Poly2.Bits_s.of_quad32 (Vale.Def.Words_s.Mkfour 0 0xc2000000 0 0)) (- 64) == Vale.Math.Poly2_s.zero)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Prims.unit", "Vale.Math.Poly2.lemma_equal", "Vale.Math.Poly2_s.shift", "Vale.Math.Poly2_s.reverse", "Vale.AES.GF128.gf128_low_shift", "Prims.op_Minus", "Vale.Math.Poly2_s.zero", "Vale.Math.Poly2.mask", "Vale.Math.Poly2.Lemmas.lemma_split_define", "Vale.Math.Poly2.Lemmas.lemma_bitwise_all", "FStar.Calc.calc_finish", "Vale.Math.Poly2_s.poly", "Prims.eq2", "Vale.Math.Poly2.Bits_s.of_quad32", "Vale.Def.Words_s.Mkfour", "Vale.Def.Types_s.nat32", "Prims.Cons", "FStar.Preorder.relation", "Prims.Nil", "FStar.Calc.calc_step", "Vale.Math.Poly2.Bits_s.to_quad32", "FStar.Calc.calc_init", "FStar.Calc.calc_pack", "Vale.Def.Words_s.four", "Vale.Def.Words_s.nat32", "Vale.Math.Poly2.Bits.poly128_of_nat32s", "Vale.Math.Poly2.Bits.lemma_quad32_of_nat32s", "Prims.squash", "Vale.Math.Poly2.Bits.lemma_to_nat", "Vale.Math.Poly2.Bits.lemma_of_to_quad32" ]
[]
false
false
true
false
false
let lemma_gf128_constant_shift_rev () =
let n0:nat32 = 0 in let n1:nat32 = 0xc2000000 in let n2:nat32 = 0 in let n3:nat32 = 0 in let r3 = gf128_low_shift in calc ( == ) { of_quad32 (Mkfour n0 n1 n2 n3); ( == ) { calc ( == ) { Mkfour n0 n1 n2 n3; ( == ) { lemma_quad32_of_nat32s n0 n1 n2 n3 } to_quad32 (poly128_of_nat32s n0 n1 n2 n3); ( == ) { (lemma_bitwise_all (); lemma_to_nat 32 (reverse r3 31) n1; lemma_equal (poly128_of_nat32s n0 n1 n2 n3) (reverse r3 63)) } to_quad32 (reverse r3 63); } } of_quad32 (to_quad32 (reverse r3 63)); ( == ) { lemma_of_to_quad32 (reverse r3 63) } reverse r3 63; }; lemma_bitwise_all (); lemma_split_define (reverse gf128_low_shift 63) 64; lemma_equal (mask (reverse gf128_low_shift 63) 64) (reverse gf128_low_shift 63); lemma_equal (shift (reverse gf128_low_shift 63) (- 64)) zero
false
EtM.MAC.fst
EtM.MAC.keysize
val keysize : Prims.int
let keysize = 64
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 18, "end_line": 32, "start_col": 0, "start_line": 32 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Prims.int
Prims.Tot
[ "total" ]
[]
[]
[]
false
false
false
true
false
let keysize =
64
false
EtM.MAC.fst
EtM.MAC.blocksize
val blocksize : Prims.int
let blocksize = keysize
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 23, "end_line": 33, "start_col": 0, "start_line": 33 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Prims.int
Prims.Tot
[ "total" ]
[]
[ "EtM.MAC.keysize" ]
[]
false
false
false
true
false
let blocksize =
keysize
false
EtM.MAC.fst
EtM.MAC.macsize
val macsize : Prims.int
let macsize = hashSize SHA1
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 29, "end_line": 34, "start_col": 0, "start_line": 34 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Prims.int
Prims.Tot
[ "total" ]
[]
[ "CoreCrypto.hashSize", "CoreCrypto.SHA1" ]
[]
false
false
false
true
false
let macsize =
hashSize SHA1
false
EtM.MAC.fst
EtM.MAC.log_entry
val log_entry : Type0
let log_entry = msg * tag
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 25, "end_line": 57, "start_col": 0, "start_line": 57 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Type0
Prims.Tot
[ "total" ]
[]
[ "FStar.Pervasives.Native.tuple2", "EtM.MAC.msg", "EtM.MAC.tag" ]
[]
false
false
false
true
true
let log_entry =
msg * tag
false
EtM.MAC.fst
EtM.MAC.entry_message
val entry_message : l: EtM.MAC.log_entry -> EtM.MAC.msg
let entry_message (l:log_entry) = fst l
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 58, "start_col": 0, "start_line": 58 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
l: EtM.MAC.log_entry -> EtM.MAC.msg
Prims.Tot
[ "total" ]
[]
[ "EtM.MAC.log_entry", "FStar.Pervasives.Native.fst", "EtM.MAC.msg", "EtM.MAC.tag" ]
[]
false
false
false
true
false
let entry_message (l: log_entry) =
fst l
false
EtM.MAC.fst
EtM.MAC.genPost
val genPost : parent: FStar.Monotonic.HyperHeap.rid -> h0: FStar.Monotonic.HyperStack.mem -> k: EtM.MAC.key -> h1: FStar.Monotonic.HyperStack.mem -> Prims.logical
let genPost parent h0 (k:key) h1 = modifies Set.empty h0 h1 /\ extends k.region parent /\ fresh_region k.region h0 h1 /\ contains h1 k.log /\ sel h1 k.log == Seq.empty
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 30, "end_line": 72, "start_col": 0, "start_line": 67 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *) let log_entry = msg * tag let entry_message (l:log_entry) = fst l let entry_tag (l:log_entry) = snd l type log_t (r:rid) = m_rref r (seq log_entry) grows noeq type key = | Key: #region:rid -> raw:sha1_key -> log:log_t region -> key (* CH: TODO: play with names here and for the mac spec to hide the details?
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
parent: FStar.Monotonic.HyperHeap.rid -> h0: FStar.Monotonic.HyperStack.mem -> k: EtM.MAC.key -> h1: FStar.Monotonic.HyperStack.mem -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "FStar.Monotonic.HyperHeap.rid", "FStar.Monotonic.HyperStack.mem", "EtM.MAC.key", "Prims.l_and", "FStar.Monotonic.HyperStack.modifies", "FStar.Set.empty", "Prims.b2t", "FStar.Monotonic.HyperHeap.extends", "EtM.MAC.__proj__Key__item__region", "FStar.Monotonic.HyperStack.fresh_region", "FStar.Monotonic.HyperStack.contains", "FStar.Seq.Base.seq", "EtM.MAC.log_entry", "FStar.Monotonic.Seq.grows", "EtM.MAC.__proj__Key__item__log", "Prims.eq2", "FStar.Monotonic.HyperStack.sel", "FStar.Seq.Base.empty", "Prims.logical" ]
[]
false
false
false
true
true
let genPost parent h0 (k: key) h1 =
modifies Set.empty h0 h1 /\ extends k.region parent /\ fresh_region k.region h0 h1 /\ contains h1 k.log /\ sel h1 k.log == Seq.empty
false
EtM.MAC.fst
EtM.MAC.entry_tag
val entry_tag : l: EtM.MAC.log_entry -> EtM.MAC.tag
let entry_tag (l:log_entry) = snd l
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 59, "start_col": 0, "start_line": 59 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *) let log_entry = msg * tag
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
l: EtM.MAC.log_entry -> EtM.MAC.tag
Prims.Tot
[ "total" ]
[]
[ "EtM.MAC.log_entry", "FStar.Pervasives.Native.snd", "EtM.MAC.msg", "EtM.MAC.tag" ]
[]
false
false
false
true
false
let entry_tag (l: log_entry) =
snd l
false
EtM.MAC.fst
EtM.MAC.sha1
val sha1: bytes -> Tot (h:bytes{length h = macsize})
val sha1: bytes -> Tot (h:bytes{length h = macsize})
let sha1 b = hash SHA1 b
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 24, "end_line": 40, "start_col": 0, "start_line": 40 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: Platform.Bytes.bytes -> h: Platform.Bytes.bytes{Platform.Bytes.length h = EtM.MAC.macsize}
Prims.Tot
[ "total" ]
[]
[ "Platform.Bytes.bytes", "CoreCrypto.hash", "CoreCrypto.SHA1", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Platform.Bytes.length", "EtM.MAC.macsize" ]
[]
false
false
false
false
false
let sha1 b =
hash SHA1 b
false
EtM.MAC.fst
EtM.MAC.hmac_sha1
val hmac_sha1: sha1_key -> msg -> Tot tag
val hmac_sha1: sha1_key -> msg -> Tot tag
let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t)))
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 51, "end_line": 50, "start_col": 0, "start_line": 43 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
k: EtM.MAC.sha1_key -> t: EtM.MAC.msg -> EtM.MAC.tag
Prims.Tot
[ "total" ]
[]
[ "EtM.MAC.sha1_key", "EtM.MAC.msg", "EtM.MAC.sha1", "Platform.Bytes.op_At_Bar", "Platform.Bytes.lbytes", "EtM.MAC.keysize", "Platform.Bytes.xor", "EtM.MAC.blocksize", "Platform.Bytes.createBytes", "FStar.UInt8.t", "Platform.Bytes.byte_of_int", "EtM.MAC.tag" ]
[]
false
false
false
true
false
let hmac_sha1 k t =
let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t)))
false
Vale.AES.X64.GCMencryptOpt.fst
Vale.AES.X64.GCMencryptOpt.va_lemma_Gcm_blocks
val va_lemma_Gcm_blocks : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (len128x6 + len128 + 1) else (len128x6 + len128)) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = (if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) else Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) else raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))))
val va_lemma_Gcm_blocks : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (len128x6 + len128 + 1) else (len128x6 + len128)) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = (if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) else Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) else raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))))
let va_lemma_Gcm_blocks va_b0 va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks va_mods alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks alg offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 994 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 997 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 998 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1000 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1002 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_1:quad32) = iv_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 1003 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 1006 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (plain_in:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1015 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_out:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1024 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_bound:nat) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in label va_range1 "***** POSTCONDITION NOT MET AT line 1028 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1032 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1034 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1040 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in label va_range1 "***** POSTCONDITION NOT MET AT line 1054 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 106 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
{ "file_name": "obj/Vale.AES.X64.GCMencryptOpt.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 16, "end_line": 2912, "start_col": 0, "start_line": 2782 }
module Vale.AES.X64.GCMencryptOpt open Vale.Def.Prop_s open Vale.Def.Opaque_s open FStar.Seq open Vale.Def.Words_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_s open Vale.AES.GCTR_s open Vale.AES.GCTR open Vale.AES.GCM open Vale.AES.GHash_s open Vale.AES.GHash open Vale.AES.GCM_s open Vale.AES.X64.AES open Vale.AES.GF128_s open Vale.AES.GF128 open Vale.Poly1305.Math open Vale.AES.GCM_helpers open Vale.AES.X64.GHash open Vale.AES.X64.GCTR open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsVector open Vale.X64.InsStack open Vale.X64.InsAes open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.AES.X64.GF128_Mul open Vale.X64.Stack open Vale.X64.CPU_Features_s open Vale.Math.Poly2.Bits_s open Vale.AES.X64.AESopt open Vale.AES.X64.AESGCM open Vale.AES.X64.AESopt2 open Vale.Lib.Meta open Vale.AES.OptPublic open Vale.Lib.Basic #reset-options "--z3rlimit 20" //-- Gctr_register [@ "opaque_to_smt" va_qattr] let va_code_Gctr_register alg = (va_Block (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_CCons (va_code_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_register alg = (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_register (va_mods:va_mods_t) (alg:algorithm) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_register alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 141 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR_s.inc32 (va_get_xmm 0 va_s) 0 == va_get_xmm 0 va_s) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 142 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (va_get_xmm 0 va_s) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (alg_10639:Vale.AES.AES_common_s.algorithm) (key_10640:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (input_LE_10641:Vale.Def.Types_s.quad32) -> Vale.AES.AES_s.is_aes_key_LE alg_10639 key_10640) alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 147 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 148 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> let (va_arg18:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg17:Vale.AES.AES_common_s.algorithm) = alg in let (va_arg16:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s) in let (va_arg15:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_encrypt_one_block va_arg15 va_arg16 va_arg17 va_arg18) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_register va_b0 va_s0 alg key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gctr_register va_mods alg key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_register alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 119 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 138 column 136 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.create #quad32 1 (va_get_xmm 8 va_sM)) == Vale.AES.GCTR_s.gctr_encrypt_LE (va_get_xmm 0 va_s0) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0))) alg key) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 139 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block (va_get_xmm 0 va_s0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) alg key 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_register alg key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_register (va_code_Gctr_register alg) va_s0 alg key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rR12 va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))))); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gctr_blocks128_body0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_body0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_body0 alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_CCons (va_code_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_CNil ())))))))))))) val va_codegen_success_Gctr_blocks128_body0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_body0 alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_ttrue ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 249 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 250 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 251 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 252 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 254 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret in_b (va_get_reg64 rRbx va_s)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 255 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 256 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret out_b (va_get_reg64 rRbx va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 258 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 259 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 260 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 261 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_QEmpty (())))))))))))))) val va_lemma_Gctr_blocks128_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_body0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_body0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_body0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_body0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 245 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_body0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_body0 (va_code_Gctr_blocks128_body0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (va_QProc (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128_while0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_while0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_while0 alg = (va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (va_Block (va_CCons (va_code_Gctr_blocks128_body0 alg) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Gctr_blocks128_while0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_while0 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128_body0 alg) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (fun va_g -> qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_body0 va_old alg in_b key keys_b out_b plain_quads round_keys) (va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_get_ok va_s /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s /\ va_get_reg64 rRbx va_s <= va_get_reg64 rRdx va_s) /\ va_get_reg64 rR11 va_s == va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_reg64 rR10 va_s == va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_xmm 11 va_s == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s) /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRax va_s) in_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) out_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b /\ (va_get_reg64 rRbx va_s =!= va_get_reg64 rRdx va_s ==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b) (va_get_reg64 rRbx va_s) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b)) /\ va_get_reg64 rRdx va_s < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b) key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) out_b)) (fun (va_s:va_state) va_g -> va_get_reg64 rRdx va_s - va_get_reg64 rRbx va_s) (())) (fun (va_s:va_state) va_g -> let va_g = () in va_QEmpty (())))) val va_lemma_Gctr_blocks128_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_while0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_while0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_while0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_while0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_while0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_while0 (va_code_Gctr_blocks128_while0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (va_QProc (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128 #push-options "--z3rlimit 30" [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128 alg = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 10)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Gctr_blocks128_while0 alg) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128 alg = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Gctr_blocks128_while0 alg) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 204 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (fun (va_s:va_state) _ -> let (plain_quads:(seq quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 211 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_while0 va_old_s alg in_b key keys_b out_b plain_quads round_keys) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 263 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gctr_blocks128 va_mods alg in_b out_b key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 195 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 198 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 199 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 200 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128 alg in_b out_b key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128 (va_code_Gctr_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Gcm_blocks128 val va_code_Gcm_blocks128 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks128 alg = (va_Block (va_CCons (va_code_Gctr_blocks128 alg) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_blocks128 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks128 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128 alg) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 323 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128 alg in_b out_b key round_keys keys_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 329 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b out_b h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s))) (va_QEmpty (()))))) val va_lemma_Gcm_blocks128 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks128 alg) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks128 va_mods alg in_b out_b key round_keys keys_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 266 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 315 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 316 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 319 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 321 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_rdx:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm11:quad32) (va_x_xmm10:quad32) (va_x_heap1:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks128 : alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks128 (va_code_Gcm_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (va_QProc (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) (va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE) (va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE)) //-- //-- Gcm_auth_bytes val va_code_Gcm_auth_bytes : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_auth_bytes () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 8)) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_auth_bytes : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_auth_bytes () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 8)) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_auth_bytes (va_mods:va_mods_t) (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 399 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 8)) (fun (va_s:va_state) _ -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 401 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_reverse_bytes_quad32_zero ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 402 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b auth_b h_LE y_0) (fun (va_s:va_state) _ -> let (y_auth:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 404 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (va_QEmpty ((y_0, y_auth)))))))) val va_lemma_Gcm_auth_bytes : va_b0:va_code -> va_s0:va_state -> auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel & quad32 & quad32) (requires (va_require_total va_b0 (va_code_Gcm_auth_bytes ()) va_s0 /\ va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051))) (ensures (fun (va_sM, va_fM, y_0, y_auth) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) /\ va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_auth_bytes va_b0 va_s0 auth_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_auth_bytes va_mods auth_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_auth_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let (y_0, y_auth) = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 332 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 389 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 390 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 391 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 392 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let (y_0, y_auth) = va_g in (va_sM, va_fM, y_0, y_auth) [@ va_qattr] let va_wp_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & quad32) -> Type0)) : Type0 = (va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_rdx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (y_0:quad32) (y_auth:quad32) . let va_sM = va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_flags va_x_efl (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRdx va_x_rdx va_s0)))))))))))) in va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) ==> va_k va_sM ((y_0, y_auth)))) val va_wpProof_Gcm_auth_bytes : auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> (quad32 & quad32) -> Type0) -> Ghost (va_state & va_fuel & (quad32 & quad32)) (requires (va_t_require va_s0 /\ va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, y_0, y_auth) = va_lemma_Gcm_auth_bytes (va_code_Gcm_auth_bytes ()) va_s0 auth_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (y_0, y_auth) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (va_QProc (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) (va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE) (va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE)) //-- //-- Gcm_make_length_quad [@ "opaque_to_smt" va_qattr] let va_code_Gcm_make_length_quad () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_make_length_quad () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_make_length_quad (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gcm_make_length_quad ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 424 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 425 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 426 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 427 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 428 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 429 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 430 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_make_length_quad va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gcm_make_length_quad va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_make_length_quad ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 407 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 418 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR13 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 419 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR11 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 138 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_sM == Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rR11 va_s0) 1) (8 `op_Multiply` va_get_reg64 rR13 va_s0) 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gcm_make_length_quad va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_make_length_quad (va_code_Gcm_make_length_quad ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRax va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Compute_pad_to_128_bits val va_code_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_pad_to_128_bits () = (va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (va_Block (va_CCons (va_code_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_CNil ()))))))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (va_CNil ())))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_pad_to_128_bits () = (va_pbool_and (va_pbool_and (va_codegen_success_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1)))))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_pad_to_128_bits (va_mods:va_mods_t) : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 446 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 447 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 454 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg51) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 455 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` va_get_reg64 rR10 va_s) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 456 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 457 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 458 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 459 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (fun (va_s:va_state) _ -> let (old_lower128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 461 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = old_lower128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 462 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg49 va_arg50) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 463 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == old_lower128 `op_Modulus` Prims.pow2 (va_get_reg64 rR10 va_s `op_Multiply` 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 466 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 468 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 469 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg48:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 470 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_lower va_arg47 va_arg48) (va_QEmpty (()))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 472 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 475 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 476 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg56) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 478 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` (va_get_reg64 rR10 va_s - 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 479 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 480 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 481 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 482 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (fun (va_s:va_state) _ -> let (old_upper128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 484 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in let (va_arg54:Vale.Def.Types_s.nat64) = old_upper128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg54 va_arg55) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 489 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 490 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 491 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg53:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg52:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 492 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_upper va_arg52 va_arg53) (va_QEmpty (())))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))) val va_lemma_Compute_pad_to_128_bits : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_pad_to_128_bits ()) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_Compute_pad_to_128_bits va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Compute_pad_to_128_bits va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_pad_to_128_bits ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 434 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 443 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 444 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_pad_to_128_bits (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)) /\ (forall (va_x_xmm0:quad32) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_xmm 0 va_x_xmm0 va_s0))) in va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) ==> va_k va_sM (()))) val va_wpProof_Compute_pad_to_128_bits : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_pad_to_128_bits va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_pad_to_128_bits va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_pad_to_128_bits (va_code_Compute_pad_to_128_bits ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_pad_to_128_bits () : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (va_QProc (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_wp_Compute_pad_to_128_bits va_wpProof_Compute_pad_to_128_bits) //-- //-- Ghash_extra_bytes [@ "opaque_to_smt" va_qattr] let va_code_Ghash_extra_bytes () = (va_Block (va_CCons (va_code_Compute_pad_to_128_bits ()) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Ghash_register ()) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_extra_bytes () = (va_pbool_and (va_codegen_success_Compute_pad_to_128_bits ()) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_extra_bytes (va_mods:va_mods_t) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (h_LE:quad32) (completed_quads:(seq quad32)) : (va_quickCode unit (va_code_Ghash_extra_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (final_quad:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 540 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Compute_pad_to_128_bits ()) (fun (va_s:va_state) _ -> let (final_quad_padded:quad32) = va_get_xmm 0 va_s in let (y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 544 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 546 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_prev) (fun (va_s:va_state) _ -> let (va_arg29:Prims.nat) = total_bytes in let (va_arg28:Vale.Def.Types_s.quad32) = final_quad_padded in let (va_arg27:Vale.Def.Types_s.quad32) = final_quad in let (va_arg26:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = completed_quads in let (va_arg25:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg24:Vale.Def.Types_s.quad32) = old_hash in let (va_arg23:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 548 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental_bytes_extra_helper_alt va_arg23 va_arg24 y_prev va_arg25 va_arg26 va_arg27 va_arg28 va_arg29) (va_QEmpty (()))))))) [@"opaque_to_smt"] let va_lemma_Ghash_extra_bytes va_b0 va_s0 hkeys_b total_bytes old_hash h_LE completed_quads = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Ghash_extra_bytes va_mods hkeys_b total_bytes old_hash h_LE completed_quads in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_extra_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 496 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 532 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (FStar.Seq.Base.create #quad32 1 (va_get_xmm 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 533 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 534 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 535 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 537 column 102 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (total_bytes > 0 ==> l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_extra_bytes (va_code_Ghash_extra_bytes ()) va_s0 hkeys_b total_bytes old_hash h_LE completed_quads in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gcm_extra_bytes val va_code_Gcm_extra_bytes : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_extra_bytes alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CNil ()))))))))) val va_codegen_success_Gcm_extra_bytes : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_extra_bytes alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Ghash_extra_bytes ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_extra_bytes (va_mods:va_mods_t) (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (len:(va_int_range 1 1)) = 1 in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 618 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 619 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 620 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 621 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 623 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 4 va_s in let (va_arg33:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 624 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg33 va_arg34) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 625 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (hash_input:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 630 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 632 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) (FStar.Seq.Base.create #quad32 1 hash_input)) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 633 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))))))) val va_lemma_Gcm_extra_bytes : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_extra_bytes alg) va_s0 /\ va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_extra_bytes va_b0 va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_extra_bytes va_mods alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_extra_bytes alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 552 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (len:(va_int_range 1 1)) = 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 603 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 606 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 609 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 610 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 611 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 612 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 615 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads)))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes) /\ (forall (va_x_mem:vale_heap) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_heap5:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_mem va_x_mem va_s0))))))))))))) in va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) ==> va_k va_sM (()))) val va_wpProof_Gcm_extra_bytes : alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_extra_bytes (va_code_Gcm_extra_bytes alg) va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (va_QProc (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) (va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE) (va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE)) //-- //-- Gcm_blocks_auth [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_auth () = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_CCons (va_code_Gcm_auth_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_auth () = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Gcm_auth_bytes ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Ghash_extra_bytes ())))) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_auth (va_mods:va_mods_t) (auth_b:buffer128) (abytes_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode ((seq quad32)) (va_code_Gcm_blocks_auth ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 704 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 705 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 708 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (fun (va_s:va_state) _ -> let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 717 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_auth_bytes auth_b hkeys_b h_LE) (fun (va_s:va_state) va_g -> let ((y_0:quad32), (y_auth:quad32)) = va_g in let (y_auth_bytes:quad32) = y_auth in let (auth_quad_seq_len:(va_int_range 0 18446744073709551615)) = va_if (va_get_reg64 rRsi va_old_s <= FStar.Seq.Base.length #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b))) (fun _ -> va_get_reg64 rRsi va_old_s) (fun _ -> 0) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 721 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len) (fun _ -> let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 (Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len)) in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in let (va_arg52:Vale.Def.Types_s.quad32) = y_auth in let (va_arg51:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 724 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_bytes_pure_no_extra va_arg51 va_arg52 h_LE va_arg53 va_arg54) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 727 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 728 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_le_seq_quad32_to_bytes_length va_arg50) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 731 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 733 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 735 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret abytes_b 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 736 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 737 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 738 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s == va_get_reg64 rRsi va_old_s `op_Modulus` 16) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 743 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b (va_get_reg64 rRsi va_s) y_0 h_LE (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.create #Vale.X64.Decls.quad32 1 (Vale.X64.Decls.buffer128_read abytes_b 0 (va_get_mem_heaplet 7 va_s))) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) abytes_b)) (let y_auth_bytes = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) abytes_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 748 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s)) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s) in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in va_QEmpty ((auth_quad_seq, y_auth_bytes)))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_quad_seq, y_auth_bytes))))) (fun (va_s:va_state) va_g -> let ((auth_quad_seq:(seq quad32)), (y_auth_bytes:quad32)) = va_g in va_QEmpty ((auth_quad_seq)))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks_auth va_b0 va_s0 auth_b abytes_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_blocks_auth va_mods auth_b abytes_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_auth ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let auth_quad_seq = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 636 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 683 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 684 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 689 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 693 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 694 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 695 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_quad_seq == Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 696 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) auth_quad_seq))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let auth_quad_seq = va_g in (va_sM, va_fM, auth_quad_seq) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, auth_quad_seq) = va_lemma_Gcm_blocks_auth (va_code_Gcm_blocks_auth ()) va_s0 auth_b abytes_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (auth_quad_seq) in (va_sM, va_f0, va_g) //-- //-- Compute_iv val va_code_Compute_iv : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_iv () = (va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_CNil ())))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret) (va_CNil ()))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_iv : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_iv () = (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_iv (va_mods:va_mods_t) (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 831 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 832 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret iv_extra_b 0) (fun (va_s:va_state) _ -> let (iv_LE:quad32) = va_get_xmm 0 va_s in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let (i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539 s_540))) Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_LE == FStar.Seq.Base.index #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 835 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 836 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (fun (va_s:va_state) _ -> let (iv_BE:quad32) = va_get_xmm 0 va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 838 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_BE == Vale.Def.Types_s.reverse_bytes_quad32 iv_LE) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 839 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 840 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.GCM.set_to_one_LE iv_BE) (let (j0:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 843 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret j0_b 0) (fun (va_s:va_state) _ -> let (va_arg48:Vale.Def.Types_s.quad32) = j0 in let (va_arg47:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in let (va_arg46:Vale.Def.Words_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg45:Vale.AES.GCM_s.supported_iv_LE) = iv in let (va_arg44:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 844 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_easy va_arg43 va_arg44 va_arg45 va_arg46 va_arg47 va_arg48) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> let (raw_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_old_s > va_get_reg64 rRdx va_old_s `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) in let (va_arg57:Prims.nat) = va_get_reg64 rRsi va_old_s in let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = raw_quads in let (va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg54:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 851 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_length_simplifier va_arg54 va_arg55 va_arg56 va_arg57) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 854 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 855 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 858 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 859 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth iv_b iv_extra_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_mid:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 863 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 864 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 865 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 868 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 871 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_mid) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg52:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 875 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg52 y_mid y_final va_arg53 length_quad) (let (va_arg51:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg49:Vale.AES.GCM_s.supported_iv_LE) = iv in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 877 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_hard va_arg49 va_arg50 length_quad h_LE va_arg51) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 878 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret j0_b 0) (va_QEmpty (()))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) val va_lemma_Compute_iv : va_b0:va_code -> va_s0:va_state -> iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_iv ()) va_s0 /\ va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Compute_iv va_b0 va_s0 iv_b iv_extra_b iv j0_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Compute_iv va_mods iv_b iv_extra_b iv j0_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_iv ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 759 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 804 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 807 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm11:quad32) (va_x_heap7:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 7 va_x_heap7 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0)))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) ==> va_k va_sM (()))) val va_wpProof_Compute_iv : iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_iv (va_code_Compute_iv ()) va_s0 iv_b iv_extra_b iv j0_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (va_QProc (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b) (va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b)) //-- //-- Gcm_blocks #push-options "--z3rlimit 600" val va_code_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks alg offset = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 10)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_CCons (va_code_AES_GCM_encrypt_6mult alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_CCons (va_code_Gcm_blocks128 alg) (va_CCons (va_code_Stack_lemma ()) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (va_Block (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Gcm_extra_bytes alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_CCons (va_code_Gctr_register alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))))))))))))))))))))))))))))))))) val va_codegen_success_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks alg offset = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_AES_GCM_encrypt_6mult alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Gcm_blocks128 alg) (va_pbool_and (va_codegen_success_Stack_lemma ()) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_pbool_and (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Gcm_extra_bytes alg)))) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_pbool_and (va_codegen_success_Gctr_register alg) (va_ttrue ())))))))))))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks (va_mods:va_mods_t) (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1057 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1058 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1059 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1060 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in let (y_auth_bytes:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1067 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1068 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1069 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1070 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1071 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> let (iv_BE:Vale.X64.Decls.quad32) = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1077 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public iv_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1079 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret scratch_b 0) (fun (va_s:va_state) _ -> let (j0:quad32) = va_get_xmm 1 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1081 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load_one_lsb (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1085 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AES_GCM_encrypt_6mult alg h_LE iv_b in128x6_b out128x6_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s:va_state) _ -> let (y_cipher128x6:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (auth_in:(seq quad32)) = auth_quad_seq in let (va_arg138:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg137:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg136:Vale.Def.Types_s.quad32) = y_auth_bytes in let (va_arg135:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1088 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg135 va_arg136 y_cipher128x6 va_arg137 va_arg138) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1092 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1093 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1094 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1097 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1098 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1099 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1100 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks128 alg in128_b out128_b key round_keys keys_b hkeys_b h_LE) (fun (va_s:va_state) _ -> let (y_cipher128:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg134:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg133:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg132:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1102 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg132 y_cipher128x6 y_cipher128 va_arg133 va_arg134) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Stack_lemma (va_op_reg64_reg64 rRsp) (offset + 24) Public) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1107 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1108 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (fun (va_s:va_state) _ -> let (y_inout:Vale.Def.Types_s.quad32) = y_cipher128 in let (plain_byte_seq:(seq quad32)) = empty_seq_quad32 in let (cipher_byte_seq:(seq quad32)) = empty_seq_quad32 in let (va_arg131:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let (va_arg130:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg129:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg128:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg127:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1113 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg127 va_arg128 va_arg129 va_arg130 va_arg131) (let (total_bytes:(va_int_at_least 0)) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1117 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1119 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1120 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1121 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1122 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1126 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes y_0 auth_in h_LE) (fun (va_s:va_state) _ -> let y_inout = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1130 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let auth_in = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let plain_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_old_s) inout_b in let cipher_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout)))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout))))) (fun (va_s:va_state) va_g -> let ((auth_in:(seq quad32)), (cipher_byte_seq:(seq quad32)), (plain_byte_seq:(seq quad32)), (y_inout:Vale.Def.Types_s.quad32)) = va_g in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1141 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1142 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad32:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1145 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_inout) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1148 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret scratch_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1151 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_register alg key round_keys keys_b) (fun (va_s:va_state) _ -> let (va_arg126:Vale.Def.Types_s.quad32) = va_get_xmm 8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1154 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton va_arg126) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (icb_BE_677:Vale.Def.Types_s.quad32) (plain_LE_678:Vale.Def.Types_s.quad32) (alg_679:Vale.AES.AES_common_s.algorithm) (key_680:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (i_681:Prims.int) -> Vale.AES.AES_s.is_aes_key_LE alg_679 key_680) j0 y_final alg key 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_s == Vale.AES.GCTR_s.gctr_encrypt_block j0 y_final alg key 0) (let (plain128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (cipher128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in128_b) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1160 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 plain_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 plain128 plain_byte_seq) plain128) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1161 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 cipher_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 cipher128 cipher_byte_seq) cipher128) (let (va_arg125:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 in let (va_arg124:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg123:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg122:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b in let (va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg119:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b in let (va_arg118:Prims.nat) = len128 in let (va_arg117:Prims.nat) = len128x6 in let (va_arg116:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1163 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg116 va_arg117 va_arg118 va_arg119 va_arg120 va_arg121 va_arg122 va_arg123 va_arg124 va_arg125) (let (va_arg115:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite (Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6) len128 in let (va_arg114:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg113:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg112:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg111:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg110:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in let (va_arg109:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (va_arg108:Prims.nat) = FStar.Seq.Base.length #quad32 plain_byte_seq in let (va_arg107:Prims.nat) = len128x6 + len128 in let (va_arg106:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1169 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg106 va_arg107 va_arg108 va_arg109 va_arg110 va_arg111 va_arg112 va_arg113 va_arg114 va_arg115) (let (va_arg105:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg104:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1177 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg104 y_inout y_final va_arg105 length_quad32) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (FStar.Seq.Base.create #Vale.Def.Types_s.quad32 1 length_quad32) in let (va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1179 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_to_ghash h_LE va_arg103) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))))))))) val va_lemma_Gcm_blocks : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (len128x6 + len128 + 1) else (len128x6 + len128)) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = (if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) else Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) else raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))))
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Stack.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsVector.fsti.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.InsAes.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Math.Poly2.Bits_s.fsti.checked", "Vale.Lib.Meta.fsti.checked", "Vale.Lib.Basic.fsti.checked", "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.X64.GHash.fsti.checked", "Vale.AES.X64.GF128_Mul.fsti.checked", "Vale.AES.X64.GCTR.fsti.checked", "Vale.AES.X64.AESopt2.fsti.checked", "Vale.AES.X64.AESopt.fsti.checked", "Vale.AES.X64.AESGCM.fsti.checked", "Vale.AES.X64.AES.fsti.checked", "Vale.AES.OptPublic.fsti.checked", "Vale.AES.GHash_s.fst.checked", "Vale.AES.GHash.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_s.fst.checked", "Vale.AES.GCTR.fsti.checked", "Vale.AES.GCM_s.fst.checked", "Vale.AES.GCM_helpers.fsti.checked", "Vale.AES.GCM.fsti.checked", "Vale.AES.AES_s.fst.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.X64.GCMencryptOpt.fst" }
[ { "abbrev": false, "full_module": "Vale.Lib.Basic", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> alg: Vale.AES.AES_common_s.algorithm -> offset: Prims.int -> auth_b: Vale.X64.Memory.buffer128 -> abytes_b: Vale.X64.Memory.buffer128 -> in128x6_b: Vale.X64.Memory.buffer128 -> out128x6_b: Vale.X64.Memory.buffer128 -> in128_b: Vale.X64.Memory.buffer128 -> out128_b: Vale.X64.Memory.buffer128 -> inout_b: Vale.X64.Memory.buffer128 -> iv_b: Vale.X64.Memory.buffer128 -> scratch_b: Vale.X64.Memory.buffer128 -> key: FStar.Seq.Base.seq Vale.X64.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 -> keys_b: Vale.X64.Memory.buffer128 -> hkeys_b: Vale.X64.Memory.buffer128 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
Prims.Ghost
[]
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Vale.AES.AES_common_s.algorithm", "Prims.int", "Vale.X64.Memory.buffer128", "FStar.Seq.Base.seq", "Vale.X64.Memory.nat32", "Vale.X64.Decls.quad32", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_xmm", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR15", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR12", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.Decls.modifies_buffer128", "Vale.X64.Decls.va_get_mem_heaplet", "Prims.op_LessThan", "Vale.X64.Machine_s.pow2_32", "Vale.X64.Decls.va_get_reg64", "Vale.AES.GCTR.gctr_partial", "Vale.Def.Types_s.quad32", "Vale.X64.Decls.va_get_xmm", "Vale.AES.GCTR_s.gctr_encrypt_block", "Vale.AES.GHash_s.ghash_LE", "FStar.Seq.Base.append", "FStar.Seq.Base.create", "Vale.X64.Decls.va_if", "Prims.op_GreaterThan", "Prims.op_Division", "Prims.op_Multiply", "Prims.op_Addition", "Vale.Def.Types_s.le_bytes_to_seq_quad32", "Vale.Def.Words_s.nat8", "Vale.AES.GCTR_s.pad_to_128_bits", "FStar.Seq.Base.slice", "Vale.Def.Types_s.nat8", "Vale.Def.Types_s.le_seq_quad32_to_bytes", "Vale.X64.Decls.s128", "Prims.l_not", "Prims.nat", "FStar.Seq.Base.length", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.Def.Types_s.insert_nat64", "Vale.Def.Words_s.Mkfour", "Vale.Def.Types_s.nat32", "Vale.AES.GCTR_s.inc32", "Vale.X64.Decls.buffer128_read", "Vale.Def.Words_s.nat64", "Vale.X64.Stack_i.load_stack64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Decls.va_get_stack", "Vale.X64.QuickCode.quickCode", "Vale.AES.X64.GCMencryptOpt.va_qcode_Gcm_blocks" ]
[]
false
false
false
false
false
let va_lemma_Gcm_blocks va_b0 va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b =
let va_mods:va_mods_t = [ va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Gcm_blocks va_mods alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Gcm_blocks alg offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let abytes_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let in128x6_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let out128x6_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let len128x6:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let in128_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let out128_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let len128:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let inout_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let plain_num_bytes:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let h_LE:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 994 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 997 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 998 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1000 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1002 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let ctr_BE_1:quad32 = iv_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 1003 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let ctr_BE_2:quad32 = Vale.AES.GCTR_s.inc32 iv_BE 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 1006 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_in:(seq quad32) = va_if (plain_num_bytes > ((len128x6 + len128) `op_Multiply` 128) `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1015 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_out:(seq quad32) = va_if (plain_num_bytes > ((len128x6 + len128) `op_Multiply` 128) `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b ) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1024 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_bound:nat = va_if (plain_num_bytes > ((len128x6 + len128) `op_Multiply` 128) `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in label va_range1 "***** POSTCONDITION NOT MET AT line 1028 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1032 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let length_quad:quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` (va_get_reg64 rRsi va_s0)) 1) (8 `op_Multiply` plain_num_bytes) 0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1034 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_auth_quads:(seq quad32) = va_if (va_get_reg64 rRsi va_s0 > ((va_get_reg64 rRdx va_s0) `op_Multiply` 128) `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0 ) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0 ) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_input_bytes:(seq nat8) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads ) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_auth_bytes:(seq nat8) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1040 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_quad_seq:(seq quad32) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quad_seq:(seq quad32) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let total_bytes:nat = (FStar.Seq.Base.length #quad32 auth_quad_seq) `op_Multiply` 16 + plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quad_seq:(seq quad32) = va_if (plain_num_bytes > ((len128x6 + len128) `op_Multiply` 128) `op_Division` 8) (fun _ -> let ab:(seq nat8) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let pb:(seq nat8) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in label va_range1 "***** POSTCONDITION NOT MET AT line 1054 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_quad_seq:(seq quad32) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 106 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
false
EtM.MAC.fst
EtM.MAC.keygen
val keygen: parent:rid -> ST key (requires (fun _ -> HyperStack.ST.witnessed (region_contains_pred parent))) (ensures (genPost parent))
val keygen: parent:rid -> ST key (requires (fun _ -> HyperStack.ST.witnessed (region_contains_pred parent))) (ensures (genPost parent))
let keygen parent = let raw = random keysize in let region = new_region parent in let log = alloc_mref_seq region Seq.empty in Key #region raw log
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 21, "end_line": 86, "start_col": 0, "start_line": 82 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *) let log_entry = msg * tag let entry_message (l:log_entry) = fst l let entry_tag (l:log_entry) = snd l type log_t (r:rid) = m_rref r (seq log_entry) grows noeq type key = | Key: #region:rid -> raw:sha1_key -> log:log_t region -> key (* CH: TODO: play with names here and for the mac spec to hide the details? Actually these things are very similar to the things in CPA, refactor? *) let genPost parent h0 (k:key) h1 = modifies Set.empty h0 h1 /\ extends k.region parent /\ fresh_region k.region h0 h1 /\ contains h1 k.log /\ sel h1 k.log == Seq.empty (* CH: equivalent definition makes gen fail: /\ (m_sel h1 k.log).length == 0 can't even prove: assert((Seq.empty #key).length == 0); *) val keygen: parent:rid -> ST key (requires (fun _ -> HyperStack.ST.witnessed (region_contains_pred parent))) (ensures (genPost parent))
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
parent: EtM.MAC.rid -> FStar.HyperStack.ST.ST EtM.MAC.key
FStar.HyperStack.ST.ST
[]
[]
[ "EtM.MAC.rid", "EtM.MAC.Key", "EtM.MAC.key", "FStar.HyperStack.ST.m_rref", "FStar.Seq.Base.seq", "EtM.MAC.log_entry", "FStar.Monotonic.Seq.grows", "FStar.Monotonic.Seq.alloc_mref_seq", "FStar.Seq.Base.empty", "FStar.Monotonic.HyperHeap.rid", "FStar.HyperStack.ST.new_region", "Platform.Bytes.lbytes", "EtM.MAC.keysize", "CoreCrypto.random" ]
[]
false
true
false
false
false
let keygen parent =
let raw = random keysize in let region = new_region parent in let log = alloc_mref_seq region Seq.empty in Key #region raw log
false
EtM.MAC.fst
EtM.MAC.mac
val mac: k:key -> m:msg -> ST tag (requires (fun h0 -> True)) (ensures (fun h0 t h1 -> (let log0 = sel h0 k.log in let log1 = sel h1 k.log in modifies_one k.region h0 h1 /\ contains h1 k.log /\ log1 == snoc log0 (m, t) /\ witnessed (at_least (Seq.length log0) (m, t) k.log) /\ Seq.length log1 == Seq.length log0 + 1 (* CH: This last condition should follow from snoc, prove lemma? EtM.AE.fst(136,4-158,15) *) )))
val mac: k:key -> m:msg -> ST tag (requires (fun h0 -> True)) (ensures (fun h0 t h1 -> (let log0 = sel h0 k.log in let log1 = sel h1 k.log in modifies_one k.region h0 h1 /\ contains h1 k.log /\ log1 == snoc log0 (m, t) /\ witnessed (at_least (Seq.length log0) (m, t) k.log) /\ Seq.length log1 == Seq.length log0 + 1 (* CH: This last condition should follow from snoc, prove lemma? EtM.AE.fst(136,4-158,15) *) )))
let mac k m = let t = hmac_sha1 k.raw m in write_at_end k.log (m,t); t
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 3, "end_line": 105, "start_col": 0, "start_line": 102 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *) let log_entry = msg * tag let entry_message (l:log_entry) = fst l let entry_tag (l:log_entry) = snd l type log_t (r:rid) = m_rref r (seq log_entry) grows noeq type key = | Key: #region:rid -> raw:sha1_key -> log:log_t region -> key (* CH: TODO: play with names here and for the mac spec to hide the details? Actually these things are very similar to the things in CPA, refactor? *) let genPost parent h0 (k:key) h1 = modifies Set.empty h0 h1 /\ extends k.region parent /\ fresh_region k.region h0 h1 /\ contains h1 k.log /\ sel h1 k.log == Seq.empty (* CH: equivalent definition makes gen fail: /\ (m_sel h1 k.log).length == 0 can't even prove: assert((Seq.empty #key).length == 0); *) val keygen: parent:rid -> ST key (requires (fun _ -> HyperStack.ST.witnessed (region_contains_pred parent))) (ensures (genPost parent)) let keygen parent = let raw = random keysize in let region = new_region parent in let log = alloc_mref_seq region Seq.empty in Key #region raw log val mac: k:key -> m:msg -> ST tag (requires (fun h0 -> True)) (ensures (fun h0 t h1 -> (let log0 = sel h0 k.log in let log1 = sel h1 k.log in modifies_one k.region h0 h1 /\ contains h1 k.log /\ log1 == snoc log0 (m, t) /\ witnessed (at_least (Seq.length log0) (m, t) k.log) /\ Seq.length log1 == Seq.length log0 + 1 (* CH: This last condition should follow from snoc, prove lemma? EtM.AE.fst(136,4-158,15) *) )))
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
k: EtM.MAC.key -> m: EtM.MAC.msg -> FStar.HyperStack.ST.ST EtM.MAC.tag
FStar.HyperStack.ST.ST
[]
[]
[ "EtM.MAC.key", "EtM.MAC.msg", "EtM.MAC.tag", "Prims.unit", "FStar.Monotonic.Seq.write_at_end", "EtM.MAC.log_entry", "EtM.MAC.__proj__Key__item__region", "EtM.MAC.__proj__Key__item__log", "FStar.Pervasives.Native.Mktuple2", "EtM.MAC.hmac_sha1", "EtM.MAC.__proj__Key__item__raw" ]
[]
false
true
false
false
false
let mac k m =
let t = hmac_sha1 k.raw m in write_at_end k.log (m, t); t
false
EtM.MAC.fst
EtM.MAC.verify
val verify: k:key -> m:msg -> t:tag -> ST bool (requires (fun h -> True (* not needed: Map.contains h k.region *) )) (ensures (fun h0 res h1 -> modifies_none h0 h1 /\ (( Ideal.uf_cma && res ) ==> Seq.mem (m,t) (sel h0 k.log))))
val verify: k:key -> m:msg -> t:tag -> ST bool (requires (fun h -> True (* not needed: Map.contains h k.region *) )) (ensures (fun h0 res h1 -> modifies_none h0 h1 /\ (( Ideal.uf_cma && res ) ==> Seq.mem (m,t) (sel h0 k.log))))
let verify k m t = let t' = hmac_sha1 k.raw m in let verified = (t = t') in let log = !k.log in let found = Seq.mem (m,t) log in if Ideal.uf_cma then verified && found else verified
{ "file_name": "examples/crypto/EtM.MAC.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 12, "end_line": 121, "start_col": 0, "start_line": 113 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module EtM.MAC open FStar.HyperStack.ST open FStar.Seq open FStar.Monotonic.Seq open FStar.HyperStack open Platform.Bytes open EtM.CoreCrypto module Ideal = EtM.Ideal module CPA = EtM.CPA type rid = erid type msg = EtM.CPA.cipher let keysize = 64 let blocksize = keysize let macsize = hashSize SHA1 type sha1_key = lbytes keysize type tag = lbytes macsize val sha1: bytes -> Tot (h:bytes{length h = macsize}) let sha1 b = hash SHA1 b val hmac_sha1: sha1_key -> msg -> Tot tag let hmac_sha1 k t = let x5c = byte_of_int 92 in let x36 = byte_of_int 54 in let opad = createBytes blocksize x5c in let ipad = createBytes blocksize x36 in let xor_key_opad = xor keysize k opad in let xor_key_ipad = xor keysize k ipad in sha1 (xor_key_opad @| (sha1 (xor_key_ipad @| t))) (* ------------------------------------------------------------------------ *) (* Type log_t defined as follows (in ulib/FStar.Monotonic.Seq.fst): type log_t (i:rid) (a:Type) = m_rref i (seq a) grows *) let log_entry = msg * tag let entry_message (l:log_entry) = fst l let entry_tag (l:log_entry) = snd l type log_t (r:rid) = m_rref r (seq log_entry) grows noeq type key = | Key: #region:rid -> raw:sha1_key -> log:log_t region -> key (* CH: TODO: play with names here and for the mac spec to hide the details? Actually these things are very similar to the things in CPA, refactor? *) let genPost parent h0 (k:key) h1 = modifies Set.empty h0 h1 /\ extends k.region parent /\ fresh_region k.region h0 h1 /\ contains h1 k.log /\ sel h1 k.log == Seq.empty (* CH: equivalent definition makes gen fail: /\ (m_sel h1 k.log).length == 0 can't even prove: assert((Seq.empty #key).length == 0); *) val keygen: parent:rid -> ST key (requires (fun _ -> HyperStack.ST.witnessed (region_contains_pred parent))) (ensures (genPost parent)) let keygen parent = let raw = random keysize in let region = new_region parent in let log = alloc_mref_seq region Seq.empty in Key #region raw log val mac: k:key -> m:msg -> ST tag (requires (fun h0 -> True)) (ensures (fun h0 t h1 -> (let log0 = sel h0 k.log in let log1 = sel h1 k.log in modifies_one k.region h0 h1 /\ contains h1 k.log /\ log1 == snoc log0 (m, t) /\ witnessed (at_least (Seq.length log0) (m, t) k.log) /\ Seq.length log1 == Seq.length log0 + 1 (* CH: This last condition should follow from snoc, prove lemma? EtM.AE.fst(136,4-158,15) *) ))) let mac k m = let t = hmac_sha1 k.raw m in write_at_end k.log (m,t); t val verify: k:key -> m:msg -> t:tag -> ST bool (requires (fun h -> True (* not needed: Map.contains h k.region *) )) (ensures (fun h0 res h1 -> modifies_none h0 h1 /\ (( Ideal.uf_cma && res ) ==> Seq.mem (m,t) (sel h0 k.log))))
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Platform.Bytes.fst.checked", "FStar.Set.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Monotonic.Seq.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "EtM.Ideal.fsti.checked", "EtM.CPA.fst.checked", "EtM.CoreCrypto.fst.checked" ], "interface_file": false, "source_file": "EtM.MAC.fst" }
[ { "abbrev": true, "full_module": "EtM.CPA", "short_module": "CPA" }, { "abbrev": true, "full_module": "EtM.Ideal", "short_module": "Ideal" }, { "abbrev": false, "full_module": "EtM.CoreCrypto", "short_module": null }, { "abbrev": false, "full_module": "Platform.Bytes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "FStar.Monotonic.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "EtM", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
k: EtM.MAC.key -> m: EtM.MAC.msg -> t: EtM.MAC.tag -> FStar.HyperStack.ST.ST Prims.bool
FStar.HyperStack.ST.ST
[]
[]
[ "EtM.MAC.key", "EtM.MAC.msg", "EtM.MAC.tag", "EtM.Ideal.uf_cma", "Prims.op_AmpAmp", "Prims.bool", "FStar.Seq.Properties.mem", "EtM.MAC.log_entry", "FStar.Pervasives.Native.Mktuple2", "FStar.Seq.Base.seq", "FStar.HyperStack.ST.op_Bang", "FStar.Monotonic.Seq.grows", "EtM.MAC.__proj__Key__item__log", "Prims.op_Equality", "EtM.MAC.hmac_sha1", "EtM.MAC.__proj__Key__item__raw" ]
[]
false
true
false
false
false
let verify k m t =
let t' = hmac_sha1 k.raw m in let verified = (t = t') in let log = !k.log in let found = Seq.mem (m, t) log in if Ideal.uf_cma then verified && found else verified
false
Hacl.Hash.Lemmas.fst
Hacl.Hash.Lemmas.init_next
val init_next (#a: Type) (s: S.seq a) (f: (i: nat{i < S.length s} -> a)) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.init i f) /\ S.index s i == f i)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.init (i + 1) f)))
val init_next (#a: Type) (s: S.seq a) (f: (i: nat{i < S.length s} -> a)) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.init i f) /\ S.index s i == f i)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.init (i + 1) f)))
let init_next (#a: Type) (s: S.seq a) (f: (i:nat { i < S.length s }) -> a) (i: nat): Lemma (requires ( i < S.length s /\ S.equal (S.slice s 0 i) (S.init i f) /\ S.index s i == f i)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.init (i + 1) f))) = lemma_slice_ijk s 0 i (i + 1)
{ "file_name": "code/hash/Hacl.Hash.Lemmas.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 31, "end_line": 45, "start_col": 0, "start_line": 37 }
module Hacl.Hash.Lemmas module S = FStar.Seq module U8 = FStar.UInt8 module U32 = FStar.UInt32 module U64 = FStar.UInt64 (** Two sequence lemmas required for pad, among others. *) let lemma_slice (#a: Type) (s: S.seq a) (i: nat): Lemma (requires (i <= S.length s)) (ensures (S.equal (S.append (S.slice s 0 i) (S.slice s i (S.length s))) s)) [ SMTPat (S.append (S.slice s 0 i) (S.slice s i (S.length s))) ] = () let lemma_slice_ijk (#a: Type) (s: S.seq a) (i j k: nat): Lemma (requires (i <= j /\ j <= k /\ k <= S.length s)) (ensures (S.equal (S.append (S.slice s i j) (S.slice s j k)) (S.slice s i k))) [ SMTPat (S.append (S.slice s i j) (S.slice s j k)) ] = () (** Two sequence lemmas required for the pre-computation of Spec.ws *) // Note: a similar lemma exists in FStar.Seq.Base but yields a forall in the // ensures clauses which doesn't work, really. let init_index (#a: Type) (j: nat) (f: (i:nat { i < j }) -> a) (i: nat): Lemma (requires ( i < j)) (ensures (S.index (S.init j f) i == f i)) [ SMTPat (S.index (S.init j f) i) ] = ()
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Hash.Lemmas.fst" }
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": false, "full_module": "Hacl.Hash", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Hash", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
s: FStar.Seq.Base.seq a -> f: (i: Prims.nat{i < FStar.Seq.Base.length s} -> a) -> i: Prims.nat -> FStar.Pervasives.Lemma (requires i < FStar.Seq.Base.length s /\ FStar.Seq.Base.equal (FStar.Seq.Base.slice s 0 i) (FStar.Seq.Base.init i f) /\ FStar.Seq.Base.index s i == f i) (ensures FStar.Seq.Base.equal (FStar.Seq.Base.slice s 0 (i + 1)) (FStar.Seq.Base.init (i + 1) f))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Seq.Base.seq", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "Hacl.Hash.Lemmas.lemma_slice_ijk", "Prims.op_Addition", "Prims.unit", "Prims.l_and", "FStar.Seq.Base.equal", "FStar.Seq.Base.slice", "FStar.Seq.Base.init", "Prims.eq2", "FStar.Seq.Base.index", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let init_next (#a: Type) (s: S.seq a) (f: (i: nat{i < S.length s} -> a)) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.init i f) /\ S.index s i == f i)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.init (i + 1) f))) =
lemma_slice_ijk s 0 i (i + 1)
false
Hacl.Hash.Lemmas.fst
Hacl.Hash.Lemmas.create_next
val create_next (#a: Type) (s: S.seq a) (v: a) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.create i v) /\ S.index s i == v)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.create (i + 1) v)))
val create_next (#a: Type) (s: S.seq a) (v: a) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.create i v) /\ S.index s i == v)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.create (i + 1) v)))
let create_next (#a: Type) (s: S.seq a) (v: a) (i: nat): Lemma (requires ( i < S.length s /\ S.equal (S.slice s 0 i) (S.create i v) /\ S.index s i == v)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.create (i + 1) v))) = lemma_slice_ijk s 0 i (i + 1)
{ "file_name": "code/hash/Hacl.Hash.Lemmas.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 31, "end_line": 65, "start_col": 0, "start_line": 57 }
module Hacl.Hash.Lemmas module S = FStar.Seq module U8 = FStar.UInt8 module U32 = FStar.UInt32 module U64 = FStar.UInt64 (** Two sequence lemmas required for pad, among others. *) let lemma_slice (#a: Type) (s: S.seq a) (i: nat): Lemma (requires (i <= S.length s)) (ensures (S.equal (S.append (S.slice s 0 i) (S.slice s i (S.length s))) s)) [ SMTPat (S.append (S.slice s 0 i) (S.slice s i (S.length s))) ] = () let lemma_slice_ijk (#a: Type) (s: S.seq a) (i j k: nat): Lemma (requires (i <= j /\ j <= k /\ k <= S.length s)) (ensures (S.equal (S.append (S.slice s i j) (S.slice s j k)) (S.slice s i k))) [ SMTPat (S.append (S.slice s i j) (S.slice s j k)) ] = () (** Two sequence lemmas required for the pre-computation of Spec.ws *) // Note: a similar lemma exists in FStar.Seq.Base but yields a forall in the // ensures clauses which doesn't work, really. let init_index (#a: Type) (j: nat) (f: (i:nat { i < j }) -> a) (i: nat): Lemma (requires ( i < j)) (ensures (S.index (S.init j f) i == f i)) [ SMTPat (S.index (S.init j f) i) ] = () let init_next (#a: Type) (s: S.seq a) (f: (i:nat { i < S.length s }) -> a) (i: nat): Lemma (requires ( i < S.length s /\ S.equal (S.slice s 0 i) (S.init i f) /\ S.index s i == f i)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.init (i + 1) f))) = lemma_slice_ijk s 0 i (i + 1) (** One lemma required for the commutations of seq_uint*_of_be and append. *) let tail_cons (#a: Type) (hd: a) (tl: S.seq a): Lemma (ensures (S.equal (S.tail (S.cons hd tl)) tl)) [ SMTPat (S.tail (S.cons hd tl)) ] = () (** One lemma needed for our for loop for padding *)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Hash.Lemmas.fst" }
[ { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.UInt8", "short_module": "U8" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": false, "full_module": "Hacl.Hash", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Hash", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
s: FStar.Seq.Base.seq a -> v: a -> i: Prims.nat -> FStar.Pervasives.Lemma (requires i < FStar.Seq.Base.length s /\ FStar.Seq.Base.equal (FStar.Seq.Base.slice s 0 i) (FStar.Seq.Base.create i v) /\ FStar.Seq.Base.index s i == v) (ensures FStar.Seq.Base.equal (FStar.Seq.Base.slice s 0 (i + 1)) (FStar.Seq.Base.create (i + 1) v))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Seq.Base.seq", "Prims.nat", "Hacl.Hash.Lemmas.lemma_slice_ijk", "Prims.op_Addition", "Prims.unit", "Prims.l_and", "Prims.b2t", "Prims.op_LessThan", "FStar.Seq.Base.length", "FStar.Seq.Base.equal", "FStar.Seq.Base.slice", "FStar.Seq.Base.create", "Prims.eq2", "FStar.Seq.Base.index", "Prims.squash", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let create_next (#a: Type) (s: S.seq a) (v: a) (i: nat) : Lemma (requires (i < S.length s /\ S.equal (S.slice s 0 i) (S.create i v) /\ S.index s i == v)) (ensures (S.equal (S.slice s 0 (i + 1)) (S.create (i + 1) v))) =
lemma_slice_ijk s 0 i (i + 1)
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.m
val m (#sl: _) (#t: lattice_element sl) (#s: _) (x: secret_int t s) : GTot (int_t s)
val m (#sl: _) (#t: lattice_element sl) (#s: _) (x: secret_int t s) : GTot (int_t s)
let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x)
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 16, "end_line": 51, "start_col": 0, "start_line": 49 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y})
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.ConstantTime.Integers.secret_int t s -> Prims.GTot (FStar.Integers.int_t s)
Prims.GTot
[ "sometrivial" ]
[]
[ "FStar.IFC.sl", "FStar.IFC.lattice_element", "FStar.ConstantTime.Integers.sw", "FStar.ConstantTime.Integers.secret_int", "FStar.Integers.u", "FStar.ConstantTime.Integers.reveal", "FStar.Integers.int_t" ]
[]
false
false
false
false
false
let m #sl (#t: lattice_element sl) #s (x: secret_int t s) : GTot (int_t s) =
u (reveal x)
false
Hacl.Spec.Bignum.Exponentiation.fsti
Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_pre
val bn_mod_exp_pre : n: Hacl.Spec.Bignum.Definitions.lbignum t len -> a: Hacl.Spec.Bignum.Definitions.lbignum t len -> bBits: Lib.IntTypes.size_nat -> b: Hacl.Spec.Bignum.Definitions.lbignum t (Hacl.Spec.Bignum.Definitions.blocks0 bBits (Lib.IntTypes.bits t)) -> Prims.logical
let bn_mod_exp_pre (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) = bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n
{ "file_name": "code/bignum/Hacl.Spec.Bignum.Exponentiation.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 41, "end_line": 23, "start_col": 0, "start_line": 14 }
module Hacl.Spec.Bignum.Exponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module BN = Hacl.Spec.Bignum #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0"
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.Exponentiation.fsti" }
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
n: Hacl.Spec.Bignum.Definitions.lbignum t len -> a: Hacl.Spec.Bignum.Definitions.lbignum t len -> bBits: Lib.IntTypes.size_nat -> b: Hacl.Spec.Bignum.Definitions.lbignum t (Hacl.Spec.Bignum.Definitions.blocks0 bBits (Lib.IntTypes.bits t)) -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.l_and", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.op_Modulus", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.op_LessThan", "Prims.pow2", "Prims.logical" ]
[]
false
false
false
false
true
let bn_mod_exp_pre (#t: limb_t) (#len: BN.bn_len t) (n a: lbignum t len) (bBits: size_nat) (b: lbignum t (blocks0 bBits (bits t))) =
bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n
false
Hacl.Spec.Bignum.Exponentiation.fsti
Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_st
val bn_mod_exp_st : t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
let bn_mod_exp_st (t:limb_t) (len:BN.bn_len t) = nBits:size_nat -> n:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ nBits / bits t < len /\ pow2 nBits < bn_v n) (ensures fun res -> bn_mod_exp_post n a bBits b res)
{ "file_name": "code/bignum/Hacl.Spec.Bignum.Exponentiation.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 36, "end_line": 114, "start_col": 0, "start_line": 103 }
module Hacl.Spec.Bignum.Exponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module BN = Hacl.Spec.Bignum #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let bn_mod_exp_pre (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) = bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n let bn_mod_exp_post (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) (res:lbignum t len) = bn_mod_exp_pre n a bBits b /\ bn_v res == Lib.NatMod.pow_mod #(bn_v n) (bn_v a) (bn_v b) val bn_check_mod_exp: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> res:limb t{ let b = bn_v n % 2 = 1 && 1 < bn_v n && bn_v b < pow2 bBits && bn_v a < bn_v n in v res == (if b then v (ones t SEC) else v (zeros t SEC))} let bn_mod_exp_precomp_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t -> r2:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 (2 * bits t * len) % bn_v n /\ (1 + bn_v n * v mu) % pow2 (bits t) == 0) (ensures fun res -> bn_mod_exp_post n a bBits b res) val bn_mod_exp_rl_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_mont_ladder_swap_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_fw_precomp: #t:limb_t -> len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_mod_exp_precomp_st t len //no need to distinguish between vartime and consttime in the spec val bn_mod_exp_vartime_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_consttime_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len let bn_mod_exp_precompr2_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> r2:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 (2 * bits t * len) % bn_v n) (ensures fun res -> bn_mod_exp_post n a bBits b res) val bn_mod_exp_vartime_precompr2: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precompr2_st t len val bn_mod_exp_consttime_precompr2: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precompr2_st t len
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.Exponentiation.fsti" }
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontExponentiation", "short_module": "AE" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.ModInvLimb", "short_module": "BI" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "M" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.l_and", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_pre", "Prims.b2t", "Prims.op_LessThan", "Prims.op_Division", "Prims.pow2", "Hacl.Spec.Bignum.Definitions.bn_v", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_post" ]
[]
false
false
false
false
true
let bn_mod_exp_st (t: limb_t) (len: BN.bn_len t) =
nBits: size_nat -> n: lbignum t len -> a: lbignum t len -> bBits: size_nat -> b: lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ nBits / bits t < len /\ pow2 nBits < bn_v n) (ensures fun res -> bn_mod_exp_post n a bBits b res)
false
Hacl.Spec.Bignum.Exponentiation.fsti
Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_precomp_st
val bn_mod_exp_precomp_st : t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
let bn_mod_exp_precomp_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t -> r2:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 (2 * bits t * len) % bn_v n /\ (1 + bn_v n * v mu) % pow2 (bits t) == 0) (ensures fun res -> bn_mod_exp_post n a bBits b res)
{ "file_name": "code/bignum/Hacl.Spec.Bignum.Exponentiation.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 36, "end_line": 67, "start_col": 0, "start_line": 54 }
module Hacl.Spec.Bignum.Exponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module BN = Hacl.Spec.Bignum #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let bn_mod_exp_pre (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) = bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n let bn_mod_exp_post (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) (res:lbignum t len) = bn_mod_exp_pre n a bBits b /\ bn_v res == Lib.NatMod.pow_mod #(bn_v n) (bn_v a) (bn_v b) val bn_check_mod_exp: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> res:limb t{ let b = bn_v n % 2 = 1 && 1 < bn_v n && bn_v b < pow2 bBits && bn_v a < bn_v n in v res == (if b then v (ones t SEC) else v (zeros t SEC))}
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.Exponentiation.fsti" }
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontExponentiation", "short_module": "AE" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.ModInvLimb", "short_module": "BI" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "M" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Hacl.Spec.Bignum.Definitions.limb", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.l_and", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_pre", "Prims.eq2", "Prims.int", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.op_Modulus", "Prims.pow2", "FStar.Mul.op_Star", "Prims.op_Addition", "Lib.IntTypes.v", "Lib.IntTypes.SEC", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_post" ]
[]
false
false
false
false
true
let bn_mod_exp_precomp_st (t: limb_t) (len: BN.bn_len t) =
n: lbignum t len -> mu: limb t -> r2: lbignum t len -> a: lbignum t len -> bBits: size_nat -> b: lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 ((2 * bits t) * len) % bn_v n /\ (1 + bn_v n * v mu) % pow2 (bits t) == 0) (ensures fun res -> bn_mod_exp_post n a bBits b res)
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.sw_qual
val sw_qual : _: FStar.ConstantTime.Integers.qual -> FStar.Integers.signed_width
let sw_qual = function | Secret _ sw -> sw | Public sw -> sw
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 19, "end_line": 132, "start_col": 0, "start_line": 130 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
_: FStar.ConstantTime.Integers.qual -> FStar.Integers.signed_width
Prims.Tot
[ "total" ]
[]
[ "FStar.ConstantTime.Integers.qual", "FStar.IFC.sl", "FStar.IFC.lattice_element", "FStar.ConstantTime.Integers.sw", "FStar.Integers.signed_width" ]
[]
false
false
false
true
false
let sw_qual =
function | Secret _ sw -> sw | Public sw -> sw
false
Hacl.Spec.Bignum.Exponentiation.fsti
Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_precompr2_st
val bn_mod_exp_precompr2_st : t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
let bn_mod_exp_precompr2_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> r2:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 (2 * bits t * len) % bn_v n) (ensures fun res -> bn_mod_exp_post n a bBits b res)
{ "file_name": "code/bignum/Hacl.Spec.Bignum.Exponentiation.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 36, "end_line": 96, "start_col": 0, "start_line": 85 }
module Hacl.Spec.Bignum.Exponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module BN = Hacl.Spec.Bignum #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let bn_mod_exp_pre (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) = bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n let bn_mod_exp_post (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) (res:lbignum t len) = bn_mod_exp_pre n a bBits b /\ bn_v res == Lib.NatMod.pow_mod #(bn_v n) (bn_v a) (bn_v b) val bn_check_mod_exp: #t:limb_t -> #len:BN.bn_len t -> n:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> res:limb t{ let b = bn_v n % 2 = 1 && 1 < bn_v n && bn_v b < pow2 bBits && bn_v a < bn_v n in v res == (if b then v (ones t SEC) else v (zeros t SEC))} let bn_mod_exp_precomp_st (t:limb_t) (len:BN.bn_len t) = n:lbignum t len -> mu:limb t -> r2:lbignum t len -> a:lbignum t len -> bBits:size_nat -> b:lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 (2 * bits t * len) % bn_v n /\ (1 + bn_v n * v mu) % pow2 (bits t) == 0) (ensures fun res -> bn_mod_exp_post n a bBits b res) val bn_mod_exp_rl_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_mont_ladder_swap_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_fw_precomp: #t:limb_t -> len:BN.bn_len t -> l:size_pos{l < bits t /\ pow2 l * len <= max_size_t} -> bn_mod_exp_precomp_st t len //no need to distinguish between vartime and consttime in the spec val bn_mod_exp_vartime_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len val bn_mod_exp_consttime_precomp: #t:limb_t -> len:BN.bn_len t -> bn_mod_exp_precomp_st t len
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.Exponentiation.fsti" }
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum.AlmostMontExponentiation", "short_module": "AE" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.MontExponentiation", "short_module": "ME" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.ModInvLimb", "short_module": "BI" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum.Montgomery", "short_module": "BM" }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": true, "full_module": "Hacl.Spec.Montgomery.Lemmas", "short_module": "M" }, { "abbrev": true, "full_module": "Hacl.Spec.Exponentiation.Lemmas", "short_module": "E" }, { "abbrev": true, "full_module": "Spec.Exponentiation", "short_module": "SE" }, { "abbrev": true, "full_module": "Lib.Exponentiation", "short_module": "LE" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
t: Hacl.Spec.Bignum.Definitions.limb_t -> len: Hacl.Spec.Bignum.bn_len t -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.l_and", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_pre", "Prims.eq2", "Prims.int", "Hacl.Spec.Bignum.Definitions.bn_v", "Prims.op_Modulus", "Prims.pow2", "FStar.Mul.op_Star", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_post" ]
[]
false
false
false
false
true
let bn_mod_exp_precompr2_st (t: limb_t) (len: BN.bn_len t) =
n: lbignum t len -> r2: lbignum t len -> a: lbignum t len -> bBits: size_nat -> b: lbignum t (blocks0 bBits (bits t)) -> Pure (lbignum t len) (requires bn_mod_exp_pre n a bBits b /\ bn_v r2 == pow2 ((2 * bits t) * len) % bn_v n) (ensures fun res -> bn_mod_exp_post n a bBits b res)
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.i
val i (#q: qual) (x: t q) : GTot (int_t (sw_qual q))
val i (#q: qual) (x: t q) : GTot (int_t (sw_qual q))
let i (#q:qual) (x:t q) : GTot (int_t (sw_qual q)) = match q with | Public s -> x | Secret l s -> m (x <: secret_int l s)
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 41, "end_line": 154, "start_col": 0, "start_line": 151 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm] unfold let sw_qual = function | Secret _ sw -> sw | Public sw -> sw (** The lattice element of a secret qualifier *) [@@mark_for_norm] unfold let label_qual (q:qual{Secret? q}) : lattice_element (Secret?.sl q) = match q with | Secret l _ -> l (** The type corresponding to a qualifier, either an integer or a secret integer *) [@@mark_for_norm] unfold let t (q:qual) = match q with | Secret l s -> secret_int l s | Public s -> int_t s [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.ConstantTime.Integers.t q -> Prims.GTot (FStar.Integers.int_t (FStar.ConstantTime.Integers.sw_qual q))
Prims.GTot
[ "sometrivial" ]
[]
[ "FStar.ConstantTime.Integers.qual", "FStar.ConstantTime.Integers.t", "FStar.Integers.signed_width", "FStar.IFC.sl", "FStar.IFC.lattice_element", "FStar.ConstantTime.Integers.sw", "FStar.ConstantTime.Integers.m", "FStar.ConstantTime.Integers.secret_int", "FStar.Integers.int_t", "FStar.ConstantTime.Integers.sw_qual" ]
[]
false
false
false
false
false
let i (#q: qual) (x: t q) : GTot (int_t (sw_qual q)) =
match q with | Public s -> x | Secret l s -> m (x <: secret_int l s)
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.sw
val sw : Type0
let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128}
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 31, "end_line": 33, "start_col": 0, "start_line": 32 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Type0
Prims.Tot
[ "total" ]
[]
[ "FStar.Integers.signed_width", "Prims.l_and", "Prims.b2t", "Prims.op_disEquality", "FStar.Integers.width", "FStar.Integers.width_of_sw", "FStar.Integers.Winfinite", "FStar.Integers.W128" ]
[]
false
false
false
true
true
let sw =
s: signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128}
false
Hacl.Spec.Bignum.Exponentiation.fsti
Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_post
val bn_mod_exp_post : n: Hacl.Spec.Bignum.Definitions.lbignum t len -> a: Hacl.Spec.Bignum.Definitions.lbignum t len -> bBits: Lib.IntTypes.size_nat -> b: Hacl.Spec.Bignum.Definitions.lbignum t (Hacl.Spec.Bignum.Definitions.blocks0 bBits (Lib.IntTypes.bits t)) -> res: Hacl.Spec.Bignum.Definitions.lbignum t len -> Prims.logical
let bn_mod_exp_post (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) (res:lbignum t len) = bn_mod_exp_pre n a bBits b /\ bn_v res == Lib.NatMod.pow_mod #(bn_v n) (bn_v a) (bn_v b)
{ "file_name": "code/bignum/Hacl.Spec.Bignum.Exponentiation.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 60, "end_line": 36, "start_col": 0, "start_line": 26 }
module Hacl.Spec.Bignum.Exponentiation open FStar.Mul open Lib.IntTypes open Lib.Sequence open Hacl.Spec.Bignum.Definitions module BN = Hacl.Spec.Bignum #reset-options "--z3rlimit 50 --fuel 0 --ifuel 0" let bn_mod_exp_pre (#t:limb_t) (#len:BN.bn_len t) (n:lbignum t len) (a:lbignum t len) (bBits:size_nat) (b:lbignum t (blocks0 bBits (bits t))) = bn_v n % 2 = 1 /\ 1 < bn_v n /\ bn_v b < pow2 bBits /\ bn_v a < bn_v n
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.NatMod.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Bignum.Definitions.fst.checked", "Hacl.Spec.Bignum.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Bignum.Exponentiation.fsti" }
[ { "abbrev": true, "full_module": "Hacl.Spec.Bignum", "short_module": "BN" }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Bignum", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 0, "initial_ifuel": 0, "max_fuel": 0, "max_ifuel": 0, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [], "z3refresh": false, "z3rlimit": 50, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
n: Hacl.Spec.Bignum.Definitions.lbignum t len -> a: Hacl.Spec.Bignum.Definitions.lbignum t len -> bBits: Lib.IntTypes.size_nat -> b: Hacl.Spec.Bignum.Definitions.lbignum t (Hacl.Spec.Bignum.Definitions.blocks0 bBits (Lib.IntTypes.bits t)) -> res: Hacl.Spec.Bignum.Definitions.lbignum t len -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Bignum.Definitions.limb_t", "Hacl.Spec.Bignum.bn_len", "Hacl.Spec.Bignum.Definitions.lbignum", "Lib.IntTypes.size_nat", "Hacl.Spec.Bignum.Definitions.blocks0", "Lib.IntTypes.bits", "Prims.l_and", "Hacl.Spec.Bignum.Exponentiation.bn_mod_exp_pre", "Prims.eq2", "Prims.nat", "Hacl.Spec.Bignum.Definitions.bn_v", "Lib.NatMod.pow_mod", "Prims.logical" ]
[]
false
false
false
false
true
let bn_mod_exp_post (#t: limb_t) (#len: BN.bn_len t) (n a: lbignum t len) (bBits: size_nat) (b: lbignum t (blocks0 bBits (bits t))) (res: lbignum t len) =
bn_mod_exp_pre n a bBits b /\ bn_v res == Lib.NatMod.pow_mod #(bn_v n) (bn_v a) (bn_v b)
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.t
val t : q: FStar.ConstantTime.Integers.qual -> Type0
let t (q:qual) = match q with | Secret l s -> secret_int l s | Public s -> int_t s
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 23, "end_line": 147, "start_col": 0, "start_line": 144 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm] unfold let sw_qual = function | Secret _ sw -> sw | Public sw -> sw (** The lattice element of a secret qualifier *) [@@mark_for_norm] unfold let label_qual (q:qual{Secret? q}) : lattice_element (Secret?.sl q) = match q with | Secret l _ -> l (** The type corresponding to a qualifier, either an integer or a secret integer *) [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
q: FStar.ConstantTime.Integers.qual -> Type0
Prims.Tot
[ "total" ]
[]
[ "FStar.ConstantTime.Integers.qual", "FStar.IFC.sl", "FStar.IFC.lattice_element", "FStar.ConstantTime.Integers.sw", "FStar.ConstantTime.Integers.secret_int", "FStar.Integers.signed_width", "FStar.Integers.int_t" ]
[]
false
false
false
true
true
let t (q: qual) =
match q with | Secret l s -> secret_int l s | Public s -> int_t s
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.label_qual
val label_qual (q: qual{Secret? q}) : lattice_element (Secret?.sl q)
val label_qual (q: qual{Secret? q}) : lattice_element (Secret?.sl q)
let label_qual (q:qual{Secret? q}) : lattice_element (Secret?.sl q) = match q with | Secret l _ -> l
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 19, "end_line": 139, "start_col": 0, "start_line": 137 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm] unfold let sw_qual = function | Secret _ sw -> sw | Public sw -> sw (** The lattice element of a secret qualifier *) [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
q: FStar.ConstantTime.Integers.qual{Secret? q} -> FStar.IFC.lattice_element (Secret?.sl q)
Prims.Tot
[ "total" ]
[]
[ "FStar.ConstantTime.Integers.qual", "Prims.b2t", "FStar.ConstantTime.Integers.uu___is_Secret", "FStar.IFC.sl", "FStar.IFC.lattice_element", "FStar.ConstantTime.Integers.sw", "FStar.ConstantTime.Integers.__proj__Secret__item__sl" ]
[]
false
false
false
false
false
let label_qual (q: qual{Secret? q}) : lattice_element (Secret?.sl q) =
match q with | Secret l _ -> l
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.as_secret
val as_secret (#q: qual{Secret? q}) (x: t q) : secret_int (label_qual q) (sw_qual q)
val as_secret (#q: qual{Secret? q}) (x: t q) : secret_int (label_qual q) (sw_qual q)
let as_secret (#q:qual{Secret? q}) (x:t q) : secret_int (label_qual q) (sw_qual q) = x
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 160, "start_col": 0, "start_line": 158 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm] unfold let sw_qual = function | Secret _ sw -> sw | Public sw -> sw (** The lattice element of a secret qualifier *) [@@mark_for_norm] unfold let label_qual (q:qual{Secret? q}) : lattice_element (Secret?.sl q) = match q with | Secret l _ -> l (** The type corresponding to a qualifier, either an integer or a secret integer *) [@@mark_for_norm] unfold let t (q:qual) = match q with | Secret l s -> secret_int l s | Public s -> int_t s [@@mark_for_norm] unfold let i (#q:qual) (x:t q) : GTot (int_t (sw_qual q)) = match q with | Public s -> x | Secret l s -> m (x <: secret_int l s) [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.ConstantTime.Integers.t q -> FStar.ConstantTime.Integers.secret_int (FStar.ConstantTime.Integers.label_qual q) (FStar.ConstantTime.Integers.sw_qual q)
Prims.Tot
[ "total" ]
[]
[ "FStar.ConstantTime.Integers.qual", "Prims.b2t", "FStar.ConstantTime.Integers.uu___is_Secret", "FStar.ConstantTime.Integers.t", "FStar.ConstantTime.Integers.secret_int", "FStar.ConstantTime.Integers.__proj__Secret__item__sl", "FStar.ConstantTime.Integers.label_qual", "FStar.ConstantTime.Integers.sw_qual" ]
[]
false
false
false
false
false
let as_secret (#q: qual{Secret? q}) (x: t q) : secret_int (label_qual q) (sw_qual q) =
x
false
FStar.ConstantTime.Integers.fsti
FStar.ConstantTime.Integers.as_public
val as_public (#q: qual{Public? q}) (x: t q) : int_t (sw_qual q)
val as_public (#q: qual{Public? q}) (x: t q) : int_t (sw_qual q)
let as_public (#q:qual{Public? q}) (x:t q) : int_t (sw_qual q) = x
{ "file_name": "ulib/experimental/FStar.ConstantTime.Integers.fsti", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 5, "end_line": 166, "start_col": 0, "start_line": 164 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.ConstantTime.Integers /// This module provides a refinement of FStar.IFC providing an /// interface restricted only to constant-time operations on integers. /// /// In contrast, FStar.IFC provides a general monadic information-flow /// control framework, which need not be restricted to constant-time /// operations. open FStar.IFC open FStar.Integers (** `sw`: signedness and width of machine integers excluding FStar.[U]Int128, which does not provide constant-time operations. *) let sw = s:signed_width{width_of_sw s <> Winfinite /\ width_of_sw s <> W128} (** A `secret_int l s` is a machine-integer at secrecy level `l` and signedness/width `s`. *) val secret_int (#sl:sl u#c) (l:lattice_element sl) (s:sw) : Type0 (** A `secret_int l s` can be seen as an int in spec *) val reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : GTot (y:int{within_bounds s y}) (** A `secret_int l s` can be also be seen as an machine integer in spec *) let m #sl (#t:lattice_element sl) #s (x:secret_int t s) : GTot (int_t s) = u (reveal x) (** `hide` is the inverse of `reveal`, proving that `secret_int` is injective *) val hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : GTot (secret_int l s) val reveal_hide (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:int{within_bounds s x}) : Lemma (reveal (hide #sl #l #s x) == x) val hide_reveal (#sl:sl) (#l:lattice_element sl) (#s:sw) (x:secret_int l s) : Lemma (hide (reveal x) == x) [SMTPat (reveal x)] (** `promote x l` allows increasing the confidentiality classification of `x` This can easily be programmed using the FStar.IFC interface *) val promote (#sl:sl) (#l0:lattice_element sl) (#s:sw) (x:secret_int l0 s) (l1:lattice_element sl) : Tot (y:secret_int (l1 `lub` l0) s{reveal y == reveal x}) /// The remainder of this module provides liftings of specific /// integers operations to work on secret integers, i.e., only those /// that respect the constant time guarantees and do not break /// confidentiality. /// /// Note, with our choice of representation, it is impossible to /// implement functions that break basic IFC guarantees, e.g., we /// cannot implement a boolean comparison function on secret_ints (** Bounds-respecting addition *) noextract inline_for_extraction val addition (#sl:sl) (#l:lattice_element sl) (#s:sw) (x : secret_int l s) (y : secret_int l s {ok ( + ) (m x) (m y)}) : Tot (z:secret_int l s{m z == m x + m y}) (** Addition modulo *) noextract inline_for_extraction val addition_mod (#sl:sl) (#l:lattice_element sl) (#sw: _ {Unsigned? sw /\ width_of_sw sw <> W128}) (x : secret_int l sw) (y : secret_int l sw) : Tot (z:secret_int l sw { m z == m x +% m y } ) /// If we like this style, I will proceed to implement a lifting of /// the rest of the constant-time integers over secret integers /// Now, a multiplexing layer to overload operators over int_t and secret_int (** A type of qualifiers, distinguishing secret and public integers *) noeq type qual = | Secret: #sl:sl -> l:lattice_element sl -> sw:sw -> qual | Public: sw:signed_width -> qual (** The signedness and width of a qualifier *) [@@mark_for_norm] unfold let sw_qual = function | Secret _ sw -> sw | Public sw -> sw (** The lattice element of a secret qualifier *) [@@mark_for_norm] unfold let label_qual (q:qual{Secret? q}) : lattice_element (Secret?.sl q) = match q with | Secret l _ -> l (** The type corresponding to a qualifier, either an integer or a secret integer *) [@@mark_for_norm] unfold let t (q:qual) = match q with | Secret l s -> secret_int l s | Public s -> int_t s [@@mark_for_norm] unfold let i (#q:qual) (x:t q) : GTot (int_t (sw_qual q)) = match q with | Public s -> x | Secret l s -> m (x <: secret_int l s) [@@mark_for_norm] unfold let as_secret (#q:qual{Secret? q}) (x:t q) : secret_int (label_qual q) (sw_qual q) = x [@@mark_for_norm]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Integers.fst.checked", "FStar.IFC.fsti.checked" ], "interface_file": false, "source_file": "FStar.ConstantTime.Integers.fsti" }
[ { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.IFC", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.ConstantTime", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.ConstantTime.Integers.t q -> FStar.Integers.int_t (FStar.ConstantTime.Integers.sw_qual q)
Prims.Tot
[ "total" ]
[]
[ "FStar.ConstantTime.Integers.qual", "Prims.b2t", "FStar.ConstantTime.Integers.uu___is_Public", "FStar.ConstantTime.Integers.t", "FStar.Integers.int_t", "FStar.ConstantTime.Integers.sw_qual" ]
[]
false
false
false
false
false
let as_public (#q: qual{Public? q}) (x: t q) : int_t (sw_qual q) =
x
false
Vale.AES.X64.GCMencryptOpt.fst
Vale.AES.X64.GCMencryptOpt.va_lemma_Gcm_blocks_stdcall
val va_lemma_Gcm_blocks_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> alg:algorithm -> auth_b:buffer128 -> auth_bytes:nat64 -> auth_num:nat64 -> keys_b:buffer128 -> iv_b:buffer128 -> iv:supported_iv_LE -> hkeys_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> len128x6_num:nat64 -> in128_b:buffer128 -> out128_b:buffer128 -> len128_num:nat64 -> inout_b:buffer128 -> plain_num:nat64 -> scratch_b:buffer128 -> tag_b:buffer128 -> key:(seq nat32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks_stdcall win alg) va_s0 /\ va_get_ok va_s0 /\ (let (auth_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (auth_len:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0) else va_get_reg64 rR8 va_s0) in let (xip:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0) else va_get_reg64 rR9 va_s0) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let (len128x6:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let (len128:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in aesni_enabled /\ pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ movbe_enabled /\ va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ auth_len == auth_num /\ auth_num_bytes == auth_bytes /\ len128x6 == len128x6_num /\ len128 == len128_num /\ plain_num_bytes == plain_num /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) auth_ptr auth_b auth_len (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) iv_ptr iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) scratch_ptr scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) xip hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) tag_ptr tag_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_disjoints128 tag_b ([keys_b; auth_b; abytes_b; iv_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; scratch_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 iv_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; scratch_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 scratch_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 inout_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 auth_b ([keys_b; abytes_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 abytes_b ([keys_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 out128x6_b ([keys_b; auth_b; abytes_b; hkeys_b; in128_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 in128x6_b ([keys_b; auth_b; abytes_b; hkeys_b; in128_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 out128_b ([keys_b; auth_b; abytes_b; hkeys_b; in128x6_b; out128x6_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 in128_b ([keys_b; auth_b; abytes_b; hkeys_b; in128x6_b; out128x6_b; inout_b]) /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ auth_ptr + 16 `op_Multiply` auth_len < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == auth_len /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ auth_num_bytes < pow2_32 /\ xip + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat auth_len (128 `op_Division` 8) <= auth_num_bytes /\ auth_num_bytes < va_mul_nat auth_len (128 `op_Division` 8) + 128 `op_Division` 8) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_s.is_aes_key_LE alg key /\ Vale.X64.Decls.buffer128_as_seq (va_get_mem va_s0) keys_b == Vale.AES.AES_s.key_to_round_keys_LE alg key /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) keys_ptr keys_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ Vale.AES.OptPublic.hkeys_reqs_pub (Vale.X64.Decls.s128 (va_get_mem va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) /\ (let h_LE = Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) in let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in iv_BE == Vale.AES.GCM_s.compute_iv_BE h_LE iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (auth_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (auth_len:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0) else va_get_reg64 rR8 va_s0) in let (xip:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0) else va_get_reg64 rR9 va_s0) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let (len128x6:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let (len128:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in Vale.X64.Decls.modifies_mem (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 tag_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 iv_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 scratch_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128x6_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128_b) (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 inout_b)))))) (va_get_mem va_s0) (va_get_mem va_sM) /\ plain_num_bytes < pow2_32 /\ auth_num_bytes < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) abytes_b) in let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 auth_num_bytes in let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem va_s0) inout_b) in let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem va_sM) inout_b) in let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in l_and (l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (Vale.AES.AES_common_s.is_aes_key alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key))) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.X64.Decls.buffer128_read tag_b 0 (va_get_mem va_sM)) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes)) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0 /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (win ==> va_get_xmm 6 va_sM == va_get_xmm 6 va_s0) /\ (win ==> va_get_xmm 7 va_sM == va_get_xmm 7 va_s0) /\ (win ==> va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) /\ (win ==> va_get_xmm 9 va_sM == va_get_xmm 9 va_s0) /\ (win ==> va_get_xmm 10 va_sM == va_get_xmm 10 va_s0) /\ (win ==> va_get_xmm 11 va_sM == va_get_xmm 11 va_s0) /\ (win ==> va_get_xmm 12 va_sM == va_get_xmm 12 va_s0) /\ (win ==> va_get_xmm 13 va_sM == va_get_xmm 13 va_s0) /\ (win ==> va_get_xmm 14 va_sM == va_get_xmm 14 va_s0) /\ (win ==> va_get_xmm 15 va_sM == va_get_xmm 15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0))) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 4 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_mem_layout va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))))))))))))))))
val va_lemma_Gcm_blocks_stdcall : va_b0:va_code -> va_s0:va_state -> win:bool -> alg:algorithm -> auth_b:buffer128 -> auth_bytes:nat64 -> auth_num:nat64 -> keys_b:buffer128 -> iv_b:buffer128 -> iv:supported_iv_LE -> hkeys_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> len128x6_num:nat64 -> in128_b:buffer128 -> out128_b:buffer128 -> len128_num:nat64 -> inout_b:buffer128 -> plain_num:nat64 -> scratch_b:buffer128 -> tag_b:buffer128 -> key:(seq nat32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks_stdcall win alg) va_s0 /\ va_get_ok va_s0 /\ (let (auth_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (auth_len:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0) else va_get_reg64 rR8 va_s0) in let (xip:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0) else va_get_reg64 rR9 va_s0) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let (len128x6:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let (len128:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in aesni_enabled /\ pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ movbe_enabled /\ va_get_reg64 rRsp va_s0 == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0) /\ Vale.X64.Memory.is_initial_heap (va_get_mem_layout va_s0) (va_get_mem va_s0) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (~win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ (win ==> Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) Public (va_get_stackTaint va_s0)) /\ auth_len == auth_num /\ auth_num_bytes == auth_bytes /\ len128x6 == len128x6_num /\ len128 == len128_num /\ plain_num_bytes == plain_num /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) auth_ptr auth_b auth_len (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) iv_ptr iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) scratch_ptr scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) xip hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem va_s0) tag_ptr tag_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_disjoints128 tag_b ([keys_b; auth_b; abytes_b; iv_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; scratch_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 iv_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; scratch_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 scratch_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; inout_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 inout_b ([keys_b; auth_b; abytes_b; in128x6_b; out128x6_b; in128_b; out128_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 auth_b ([keys_b; abytes_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 abytes_b ([keys_b; hkeys_b]) /\ Vale.X64.Decls.buffer_disjoints128 out128x6_b ([keys_b; auth_b; abytes_b; hkeys_b; in128_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 in128x6_b ([keys_b; auth_b; abytes_b; hkeys_b; in128_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 out128_b ([keys_b; auth_b; abytes_b; hkeys_b; in128x6_b; out128x6_b; inout_b]) /\ Vale.X64.Decls.buffer_disjoints128 in128_b ([keys_b; auth_b; abytes_b; hkeys_b; in128x6_b; out128x6_b; inout_b]) /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ auth_ptr + 16 `op_Multiply` auth_len < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == auth_len /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ auth_num_bytes < pow2_32 /\ xip + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat auth_len (128 `op_Division` 8) <= auth_num_bytes /\ auth_num_bytes < va_mul_nat auth_len (128 `op_Division` 8) + 128 `op_Division` 8) /\ (alg = AES_128 \/ alg = AES_256) /\ Vale.AES.AES_s.is_aes_key_LE alg key /\ Vale.X64.Decls.buffer128_as_seq (va_get_mem va_s0) keys_b == Vale.AES.AES_s.key_to_round_keys_LE alg key /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem va_s0) keys_ptr keys_b (Vale.AES.AES_common_s.nr alg + 1) (va_get_mem_layout va_s0) Secret /\ Vale.AES.OptPublic.hkeys_reqs_pub (Vale.X64.Decls.s128 (va_get_mem va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) /\ (let h_LE = Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) in let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in iv_BE == Vale.AES.GCM_s.compute_iv_BE h_LE iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (auth_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (auth_len:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0) else va_get_reg64 rR8 va_s0) in let (xip:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0) else va_get_reg64 rR9 va_s0) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let (len128x6:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let (len128:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = (if win then Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0) else Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in Vale.X64.Decls.modifies_mem (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 tag_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 iv_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 scratch_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128x6_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128_b) (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 inout_b)))))) (va_get_mem va_s0) (va_get_mem va_sM) /\ plain_num_bytes < pow2_32 /\ auth_num_bytes < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) abytes_b) in let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 auth_num_bytes in let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem va_s0) inout_b) in let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem va_sM) inout_b) in let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in l_and (l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (Vale.AES.AES_common_s.is_aes_key alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key))) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.X64.Decls.buffer128_read tag_b 0 (va_get_mem va_sM)) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes)) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0 /\ (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ (win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ (win ==> va_get_xmm 6 va_sM == va_get_xmm 6 va_s0) /\ (win ==> va_get_xmm 7 va_sM == va_get_xmm 7 va_s0) /\ (win ==> va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) /\ (win ==> va_get_xmm 9 va_sM == va_get_xmm 9 va_s0) /\ (win ==> va_get_xmm 10 va_sM == va_get_xmm 10 va_s0) /\ (win ==> va_get_xmm 11 va_sM == va_get_xmm 11 va_s0) /\ (win ==> va_get_xmm 12 va_sM == va_get_xmm 12 va_s0) /\ (win ==> va_get_xmm 13 va_sM == va_get_xmm 13 va_s0) /\ (win ==> va_get_xmm 14 va_sM == va_get_xmm 14 va_s0) /\ (win ==> va_get_xmm 15 va_sM == va_get_xmm 15 va_s0) /\ (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ (~win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0))) /\ va_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 4 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_mem_layout va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))))))))))))))))
let va_lemma_Gcm_blocks_stdcall va_b0 va_s0 win alg auth_b auth_bytes auth_num keys_b iv_b iv hkeys_b abytes_b in128x6_b out128x6_b len128x6_num in128_b out128_b len128_num inout_b plain_num scratch_b tag_b key = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_stack; va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 4; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_mem_layout; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks_stdcall va_mods win alg auth_b auth_bytes auth_num keys_b iv_b iv hkeys_b abytes_b in128x6_b out128x6_b len128x6_num in128_b out128_b len128_num inout_b plain_num scratch_b tag_b key in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_stdcall win alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1562 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (auth_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (auth_len:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0)) (fun _ -> va_get_reg64 rR8 va_s0) in let (xip:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0)) (fun _ -> va_get_reg64 rR9 va_s0) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let (len128x6:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let (len128:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1731 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_mem (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 tag_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 iv_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 scratch_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128x6_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128_b) (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 inout_b)))))) (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1734 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1735 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1737 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) abytes_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1740 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 auth_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1741 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem va_s0) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1742 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1743 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1754 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (Vale.AES.AES_common_s.is_aes_key alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key))) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.X64.Decls.buffer128_read tag_b 0 (va_get_mem va_sM)) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1757 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1760 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1761 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1762 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1763 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1764 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1765 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1766 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1767 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1769 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 6 va_sM == va_get_xmm 6 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1770 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 7 va_sM == va_get_xmm 7 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1771 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1772 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 9 va_sM == va_get_xmm 9 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1773 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 10 va_sM == va_get_xmm 10 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1774 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 11 va_sM == va_get_xmm 11 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1775 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 12 va_sM == va_get_xmm 12 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1776 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 13 va_sM == va_get_xmm 13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1777 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 14 va_sM == va_get_xmm 14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1778 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 15 va_sM == va_get_xmm 15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1781 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1782 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1783 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1784 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1785 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1786 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_stack; va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 4; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_mem_layout; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM)
{ "file_name": "obj/Vale.AES.X64.GCMencryptOpt.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 16, "end_line": 4435, "start_col": 0, "start_line": 4264 }
module Vale.AES.X64.GCMencryptOpt open Vale.Def.Prop_s open Vale.Def.Opaque_s open FStar.Seq open Vale.Def.Words_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_s open Vale.AES.GCTR_s open Vale.AES.GCTR open Vale.AES.GCM open Vale.AES.GHash_s open Vale.AES.GHash open Vale.AES.GCM_s open Vale.AES.X64.AES open Vale.AES.GF128_s open Vale.AES.GF128 open Vale.Poly1305.Math open Vale.AES.GCM_helpers open Vale.AES.X64.GHash open Vale.AES.X64.GCTR open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsVector open Vale.X64.InsStack open Vale.X64.InsAes open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.AES.X64.GF128_Mul open Vale.X64.Stack open Vale.X64.CPU_Features_s open Vale.Math.Poly2.Bits_s open Vale.AES.X64.AESopt open Vale.AES.X64.AESGCM open Vale.AES.X64.AESopt2 open Vale.Lib.Meta open Vale.AES.OptPublic open Vale.Lib.Basic #reset-options "--z3rlimit 20" //-- Gctr_register [@ "opaque_to_smt" va_qattr] let va_code_Gctr_register alg = (va_Block (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_CCons (va_code_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_register alg = (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_register (va_mods:va_mods_t) (alg:algorithm) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_register alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 141 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR_s.inc32 (va_get_xmm 0 va_s) 0 == va_get_xmm 0 va_s) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 142 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (va_get_xmm 0 va_s) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (alg_10639:Vale.AES.AES_common_s.algorithm) (key_10640:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (input_LE_10641:Vale.Def.Types_s.quad32) -> Vale.AES.AES_s.is_aes_key_LE alg_10639 key_10640) alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 147 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 148 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> let (va_arg18:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg17:Vale.AES.AES_common_s.algorithm) = alg in let (va_arg16:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s) in let (va_arg15:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_encrypt_one_block va_arg15 va_arg16 va_arg17 va_arg18) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_register va_b0 va_s0 alg key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gctr_register va_mods alg key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_register alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 119 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 138 column 136 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.create #quad32 1 (va_get_xmm 8 va_sM)) == Vale.AES.GCTR_s.gctr_encrypt_LE (va_get_xmm 0 va_s0) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0))) alg key) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 139 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block (va_get_xmm 0 va_s0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) alg key 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_register alg key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_register (va_code_Gctr_register alg) va_s0 alg key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rR12 va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))))); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gctr_blocks128_body0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_body0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_body0 alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_CCons (va_code_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_CNil ())))))))))))) val va_codegen_success_Gctr_blocks128_body0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_body0 alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_ttrue ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 249 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 250 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 251 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 252 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 254 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret in_b (va_get_reg64 rRbx va_s)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 255 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 256 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret out_b (va_get_reg64 rRbx va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 258 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 259 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 260 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 261 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_QEmpty (())))))))))))))) val va_lemma_Gctr_blocks128_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_body0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_body0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_body0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_body0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 245 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_body0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_body0 (va_code_Gctr_blocks128_body0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (va_QProc (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128_while0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_while0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_while0 alg = (va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (va_Block (va_CCons (va_code_Gctr_blocks128_body0 alg) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Gctr_blocks128_while0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_while0 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128_body0 alg) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (fun va_g -> qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_body0 va_old alg in_b key keys_b out_b plain_quads round_keys) (va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_get_ok va_s /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s /\ va_get_reg64 rRbx va_s <= va_get_reg64 rRdx va_s) /\ va_get_reg64 rR11 va_s == va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_reg64 rR10 va_s == va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_xmm 11 va_s == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s) /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRax va_s) in_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) out_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b /\ (va_get_reg64 rRbx va_s =!= va_get_reg64 rRdx va_s ==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b) (va_get_reg64 rRbx va_s) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b)) /\ va_get_reg64 rRdx va_s < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b) key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) out_b)) (fun (va_s:va_state) va_g -> va_get_reg64 rRdx va_s - va_get_reg64 rRbx va_s) (())) (fun (va_s:va_state) va_g -> let va_g = () in va_QEmpty (())))) val va_lemma_Gctr_blocks128_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_while0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_while0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_while0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_while0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_while0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_while0 (va_code_Gctr_blocks128_while0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (va_QProc (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128 #push-options "--z3rlimit 30" [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128 alg = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 10)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Gctr_blocks128_while0 alg) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128 alg = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Gctr_blocks128_while0 alg) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 204 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (fun (va_s:va_state) _ -> let (plain_quads:(seq quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 211 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_while0 va_old_s alg in_b key keys_b out_b plain_quads round_keys) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 263 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gctr_blocks128 va_mods alg in_b out_b key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 195 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 198 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 199 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 200 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128 alg in_b out_b key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128 (va_code_Gctr_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Gcm_blocks128 val va_code_Gcm_blocks128 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks128 alg = (va_Block (va_CCons (va_code_Gctr_blocks128 alg) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_blocks128 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks128 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128 alg) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 323 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128 alg in_b out_b key round_keys keys_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 329 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b out_b h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s))) (va_QEmpty (()))))) val va_lemma_Gcm_blocks128 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks128 alg) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks128 va_mods alg in_b out_b key round_keys keys_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 266 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 315 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 316 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 319 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 321 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_rdx:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm11:quad32) (va_x_xmm10:quad32) (va_x_heap1:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks128 : alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks128 (va_code_Gcm_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (va_QProc (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) (va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE) (va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE)) //-- //-- Gcm_auth_bytes val va_code_Gcm_auth_bytes : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_auth_bytes () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 8)) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_auth_bytes : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_auth_bytes () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 8)) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_auth_bytes (va_mods:va_mods_t) (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 399 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 8)) (fun (va_s:va_state) _ -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 401 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_reverse_bytes_quad32_zero ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 402 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b auth_b h_LE y_0) (fun (va_s:va_state) _ -> let (y_auth:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 404 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (va_QEmpty ((y_0, y_auth)))))))) val va_lemma_Gcm_auth_bytes : va_b0:va_code -> va_s0:va_state -> auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel & quad32 & quad32) (requires (va_require_total va_b0 (va_code_Gcm_auth_bytes ()) va_s0 /\ va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051))) (ensures (fun (va_sM, va_fM, y_0, y_auth) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) /\ va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_auth_bytes va_b0 va_s0 auth_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_auth_bytes va_mods auth_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_auth_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let (y_0, y_auth) = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 332 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 389 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 390 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 391 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 392 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let (y_0, y_auth) = va_g in (va_sM, va_fM, y_0, y_auth) [@ va_qattr] let va_wp_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & quad32) -> Type0)) : Type0 = (va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_rdx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (y_0:quad32) (y_auth:quad32) . let va_sM = va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_flags va_x_efl (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRdx va_x_rdx va_s0)))))))))))) in va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) ==> va_k va_sM ((y_0, y_auth)))) val va_wpProof_Gcm_auth_bytes : auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> (quad32 & quad32) -> Type0) -> Ghost (va_state & va_fuel & (quad32 & quad32)) (requires (va_t_require va_s0 /\ va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, y_0, y_auth) = va_lemma_Gcm_auth_bytes (va_code_Gcm_auth_bytes ()) va_s0 auth_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (y_0, y_auth) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (va_QProc (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) (va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE) (va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE)) //-- //-- Gcm_make_length_quad [@ "opaque_to_smt" va_qattr] let va_code_Gcm_make_length_quad () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_make_length_quad () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_make_length_quad (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gcm_make_length_quad ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 424 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 425 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 426 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 427 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 428 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 429 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 430 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_make_length_quad va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gcm_make_length_quad va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_make_length_quad ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 407 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 418 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR13 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 419 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR11 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 138 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_sM == Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rR11 va_s0) 1) (8 `op_Multiply` va_get_reg64 rR13 va_s0) 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gcm_make_length_quad va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_make_length_quad (va_code_Gcm_make_length_quad ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRax va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Compute_pad_to_128_bits val va_code_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_pad_to_128_bits () = (va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (va_Block (va_CCons (va_code_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_CNil ()))))))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (va_CNil ())))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_pad_to_128_bits () = (va_pbool_and (va_pbool_and (va_codegen_success_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1)))))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_pad_to_128_bits (va_mods:va_mods_t) : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 446 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 447 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 454 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg51) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 455 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` va_get_reg64 rR10 va_s) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 456 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 457 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 458 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 459 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (fun (va_s:va_state) _ -> let (old_lower128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 461 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = old_lower128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 462 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg49 va_arg50) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 463 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == old_lower128 `op_Modulus` Prims.pow2 (va_get_reg64 rR10 va_s `op_Multiply` 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 466 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 468 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 469 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg48:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 470 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_lower va_arg47 va_arg48) (va_QEmpty (()))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 472 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 475 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 476 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg56) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 478 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` (va_get_reg64 rR10 va_s - 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 479 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 480 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 481 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 482 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (fun (va_s:va_state) _ -> let (old_upper128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 484 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in let (va_arg54:Vale.Def.Types_s.nat64) = old_upper128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg54 va_arg55) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 489 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 490 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 491 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg53:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg52:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 492 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_upper va_arg52 va_arg53) (va_QEmpty (())))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))) val va_lemma_Compute_pad_to_128_bits : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_pad_to_128_bits ()) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_Compute_pad_to_128_bits va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Compute_pad_to_128_bits va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_pad_to_128_bits ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 434 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 443 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 444 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_pad_to_128_bits (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)) /\ (forall (va_x_xmm0:quad32) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_xmm 0 va_x_xmm0 va_s0))) in va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) ==> va_k va_sM (()))) val va_wpProof_Compute_pad_to_128_bits : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_pad_to_128_bits va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_pad_to_128_bits va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_pad_to_128_bits (va_code_Compute_pad_to_128_bits ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_pad_to_128_bits () : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (va_QProc (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_wp_Compute_pad_to_128_bits va_wpProof_Compute_pad_to_128_bits) //-- //-- Ghash_extra_bytes [@ "opaque_to_smt" va_qattr] let va_code_Ghash_extra_bytes () = (va_Block (va_CCons (va_code_Compute_pad_to_128_bits ()) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Ghash_register ()) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_extra_bytes () = (va_pbool_and (va_codegen_success_Compute_pad_to_128_bits ()) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_extra_bytes (va_mods:va_mods_t) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (h_LE:quad32) (completed_quads:(seq quad32)) : (va_quickCode unit (va_code_Ghash_extra_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (final_quad:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 540 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Compute_pad_to_128_bits ()) (fun (va_s:va_state) _ -> let (final_quad_padded:quad32) = va_get_xmm 0 va_s in let (y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 544 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 546 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_prev) (fun (va_s:va_state) _ -> let (va_arg29:Prims.nat) = total_bytes in let (va_arg28:Vale.Def.Types_s.quad32) = final_quad_padded in let (va_arg27:Vale.Def.Types_s.quad32) = final_quad in let (va_arg26:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = completed_quads in let (va_arg25:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg24:Vale.Def.Types_s.quad32) = old_hash in let (va_arg23:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 548 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental_bytes_extra_helper_alt va_arg23 va_arg24 y_prev va_arg25 va_arg26 va_arg27 va_arg28 va_arg29) (va_QEmpty (()))))))) [@"opaque_to_smt"] let va_lemma_Ghash_extra_bytes va_b0 va_s0 hkeys_b total_bytes old_hash h_LE completed_quads = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Ghash_extra_bytes va_mods hkeys_b total_bytes old_hash h_LE completed_quads in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_extra_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 496 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 532 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (FStar.Seq.Base.create #quad32 1 (va_get_xmm 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 533 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 534 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 535 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 537 column 102 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (total_bytes > 0 ==> l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_extra_bytes (va_code_Ghash_extra_bytes ()) va_s0 hkeys_b total_bytes old_hash h_LE completed_quads in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gcm_extra_bytes val va_code_Gcm_extra_bytes : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_extra_bytes alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CNil ()))))))))) val va_codegen_success_Gcm_extra_bytes : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_extra_bytes alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Ghash_extra_bytes ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_extra_bytes (va_mods:va_mods_t) (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (len:(va_int_range 1 1)) = 1 in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 618 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 619 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 620 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 621 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 623 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 4 va_s in let (va_arg33:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 624 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg33 va_arg34) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 625 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (hash_input:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 630 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 632 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) (FStar.Seq.Base.create #quad32 1 hash_input)) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 633 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))))))) val va_lemma_Gcm_extra_bytes : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_extra_bytes alg) va_s0 /\ va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_extra_bytes va_b0 va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_extra_bytes va_mods alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_extra_bytes alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 552 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (len:(va_int_range 1 1)) = 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 603 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 606 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 609 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 610 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 611 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 612 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 615 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads)))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes) /\ (forall (va_x_mem:vale_heap) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_heap5:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_mem va_x_mem va_s0))))))))))))) in va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) ==> va_k va_sM (()))) val va_wpProof_Gcm_extra_bytes : alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_extra_bytes (va_code_Gcm_extra_bytes alg) va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (va_QProc (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) (va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE) (va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE)) //-- //-- Gcm_blocks_auth [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_auth () = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_CCons (va_code_Gcm_auth_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_auth () = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Gcm_auth_bytes ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Ghash_extra_bytes ())))) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_auth (va_mods:va_mods_t) (auth_b:buffer128) (abytes_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode ((seq quad32)) (va_code_Gcm_blocks_auth ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 704 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 705 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 708 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (fun (va_s:va_state) _ -> let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 717 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_auth_bytes auth_b hkeys_b h_LE) (fun (va_s:va_state) va_g -> let ((y_0:quad32), (y_auth:quad32)) = va_g in let (y_auth_bytes:quad32) = y_auth in let (auth_quad_seq_len:(va_int_range 0 18446744073709551615)) = va_if (va_get_reg64 rRsi va_old_s <= FStar.Seq.Base.length #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b))) (fun _ -> va_get_reg64 rRsi va_old_s) (fun _ -> 0) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 721 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len) (fun _ -> let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 (Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len)) in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in let (va_arg52:Vale.Def.Types_s.quad32) = y_auth in let (va_arg51:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 724 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_bytes_pure_no_extra va_arg51 va_arg52 h_LE va_arg53 va_arg54) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 727 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 728 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_le_seq_quad32_to_bytes_length va_arg50) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 731 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 733 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 735 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret abytes_b 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 736 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 737 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 738 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s == va_get_reg64 rRsi va_old_s `op_Modulus` 16) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 743 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b (va_get_reg64 rRsi va_s) y_0 h_LE (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.create #Vale.X64.Decls.quad32 1 (Vale.X64.Decls.buffer128_read abytes_b 0 (va_get_mem_heaplet 7 va_s))) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) abytes_b)) (let y_auth_bytes = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) abytes_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 748 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s)) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s) in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in va_QEmpty ((auth_quad_seq, y_auth_bytes)))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_quad_seq, y_auth_bytes))))) (fun (va_s:va_state) va_g -> let ((auth_quad_seq:(seq quad32)), (y_auth_bytes:quad32)) = va_g in va_QEmpty ((auth_quad_seq)))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks_auth va_b0 va_s0 auth_b abytes_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_blocks_auth va_mods auth_b abytes_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_auth ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let auth_quad_seq = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 636 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 683 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 684 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 689 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 693 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 694 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 695 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_quad_seq == Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 696 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) auth_quad_seq))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let auth_quad_seq = va_g in (va_sM, va_fM, auth_quad_seq) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, auth_quad_seq) = va_lemma_Gcm_blocks_auth (va_code_Gcm_blocks_auth ()) va_s0 auth_b abytes_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (auth_quad_seq) in (va_sM, va_f0, va_g) //-- //-- Compute_iv val va_code_Compute_iv : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_iv () = (va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_CNil ())))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret) (va_CNil ()))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_iv : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_iv () = (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_iv (va_mods:va_mods_t) (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 831 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 832 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret iv_extra_b 0) (fun (va_s:va_state) _ -> let (iv_LE:quad32) = va_get_xmm 0 va_s in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let (i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539 s_540))) Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_LE == FStar.Seq.Base.index #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 835 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 836 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (fun (va_s:va_state) _ -> let (iv_BE:quad32) = va_get_xmm 0 va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 838 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_BE == Vale.Def.Types_s.reverse_bytes_quad32 iv_LE) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 839 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 840 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.GCM.set_to_one_LE iv_BE) (let (j0:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 843 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret j0_b 0) (fun (va_s:va_state) _ -> let (va_arg48:Vale.Def.Types_s.quad32) = j0 in let (va_arg47:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in let (va_arg46:Vale.Def.Words_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg45:Vale.AES.GCM_s.supported_iv_LE) = iv in let (va_arg44:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 844 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_easy va_arg43 va_arg44 va_arg45 va_arg46 va_arg47 va_arg48) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> let (raw_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_old_s > va_get_reg64 rRdx va_old_s `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) in let (va_arg57:Prims.nat) = va_get_reg64 rRsi va_old_s in let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = raw_quads in let (va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg54:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 851 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_length_simplifier va_arg54 va_arg55 va_arg56 va_arg57) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 854 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 855 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 858 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 859 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth iv_b iv_extra_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_mid:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 863 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 864 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 865 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 868 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 871 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_mid) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg52:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 875 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg52 y_mid y_final va_arg53 length_quad) (let (va_arg51:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg49:Vale.AES.GCM_s.supported_iv_LE) = iv in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 877 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_hard va_arg49 va_arg50 length_quad h_LE va_arg51) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 878 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret j0_b 0) (va_QEmpty (()))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) val va_lemma_Compute_iv : va_b0:va_code -> va_s0:va_state -> iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_iv ()) va_s0 /\ va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Compute_iv va_b0 va_s0 iv_b iv_extra_b iv j0_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Compute_iv va_mods iv_b iv_extra_b iv j0_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_iv ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 759 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 804 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 807 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm11:quad32) (va_x_heap7:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 7 va_x_heap7 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0)))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) ==> va_k va_sM (()))) val va_wpProof_Compute_iv : iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_iv (va_code_Compute_iv ()) va_s0 iv_b iv_extra_b iv j0_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (va_QProc (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b) (va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b)) //-- //-- Gcm_blocks #push-options "--z3rlimit 600" val va_code_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks alg offset = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 10)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_CCons (va_code_AES_GCM_encrypt_6mult alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_CCons (va_code_Gcm_blocks128 alg) (va_CCons (va_code_Stack_lemma ()) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (va_Block (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Gcm_extra_bytes alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_CCons (va_code_Gctr_register alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))))))))))))))))))))))))))))))))) val va_codegen_success_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks alg offset = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_AES_GCM_encrypt_6mult alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Gcm_blocks128 alg) (va_pbool_and (va_codegen_success_Stack_lemma ()) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_pbool_and (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Gcm_extra_bytes alg)))) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_pbool_and (va_codegen_success_Gctr_register alg) (va_ttrue ())))))))))))))))))))))))))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks (va_mods:va_mods_t) (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1057 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1058 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1059 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1060 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in let (y_auth_bytes:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1067 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1068 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1069 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1070 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1071 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> let (iv_BE:Vale.X64.Decls.quad32) = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1077 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public iv_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1079 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret scratch_b 0) (fun (va_s:va_state) _ -> let (j0:quad32) = va_get_xmm 1 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1081 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load_one_lsb (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1085 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AES_GCM_encrypt_6mult alg h_LE iv_b in128x6_b out128x6_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s:va_state) _ -> let (y_cipher128x6:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (auth_in:(seq quad32)) = auth_quad_seq in let (va_arg138:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg137:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg136:Vale.Def.Types_s.quad32) = y_auth_bytes in let (va_arg135:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1088 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg135 va_arg136 y_cipher128x6 va_arg137 va_arg138) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1092 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1093 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1094 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1097 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1098 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1099 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1100 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks128 alg in128_b out128_b key round_keys keys_b hkeys_b h_LE) (fun (va_s:va_state) _ -> let (y_cipher128:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg134:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg133:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg132:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1102 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg132 y_cipher128x6 y_cipher128 va_arg133 va_arg134) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Stack_lemma (va_op_reg64_reg64 rRsp) (offset + 24) Public) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1107 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1108 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (fun (va_s:va_state) _ -> let (y_inout:Vale.Def.Types_s.quad32) = y_cipher128 in let (plain_byte_seq:(seq quad32)) = empty_seq_quad32 in let (cipher_byte_seq:(seq quad32)) = empty_seq_quad32 in let (va_arg131:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let (va_arg130:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg129:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg128:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg127:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1113 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg127 va_arg128 va_arg129 va_arg130 va_arg131) (let (total_bytes:(va_int_at_least 0)) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1117 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1119 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1120 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1121 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1122 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1126 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes y_0 auth_in h_LE) (fun (va_s:va_state) _ -> let y_inout = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1130 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let auth_in = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let plain_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_old_s) inout_b in let cipher_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout)))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout))))) (fun (va_s:va_state) va_g -> let ((auth_in:(seq quad32)), (cipher_byte_seq:(seq quad32)), (plain_byte_seq:(seq quad32)), (y_inout:Vale.Def.Types_s.quad32)) = va_g in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1141 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1142 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad32:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1145 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_inout) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1148 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret scratch_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1151 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_register alg key round_keys keys_b) (fun (va_s:va_state) _ -> let (va_arg126:Vale.Def.Types_s.quad32) = va_get_xmm 8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1154 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton va_arg126) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (icb_BE_677:Vale.Def.Types_s.quad32) (plain_LE_678:Vale.Def.Types_s.quad32) (alg_679:Vale.AES.AES_common_s.algorithm) (key_680:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (i_681:Prims.int) -> Vale.AES.AES_s.is_aes_key_LE alg_679 key_680) j0 y_final alg key 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_s == Vale.AES.GCTR_s.gctr_encrypt_block j0 y_final alg key 0) (let (plain128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (cipher128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in128_b) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1160 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 plain_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 plain128 plain_byte_seq) plain128) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1161 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 cipher_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 cipher128 cipher_byte_seq) cipher128) (let (va_arg125:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 in let (va_arg124:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg123:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg122:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b in let (va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg119:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b in let (va_arg118:Prims.nat) = len128 in let (va_arg117:Prims.nat) = len128x6 in let (va_arg116:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1163 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg116 va_arg117 va_arg118 va_arg119 va_arg120 va_arg121 va_arg122 va_arg123 va_arg124 va_arg125) (let (va_arg115:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite (Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6) len128 in let (va_arg114:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg113:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg112:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg111:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg110:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in let (va_arg109:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (va_arg108:Prims.nat) = FStar.Seq.Base.length #quad32 plain_byte_seq in let (va_arg107:Prims.nat) = len128x6 + len128 in let (va_arg106:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1169 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg106 va_arg107 va_arg108 va_arg109 va_arg110 va_arg111 va_arg112 va_arg113 va_arg114 va_arg115) (let (va_arg105:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg104:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1177 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg104 y_inout y_final va_arg105 length_quad32) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (FStar.Seq.Base.create #Vale.Def.Types_s.quad32 1 length_quad32) in let (va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1179 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_to_ghash h_LE va_arg103) (va_QEmpty (())))))))))))))))))))))))))))))))))))))))))))))))) val va_lemma_Gcm_blocks : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) else FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (len128x6 + len128 + 1) else (len128x6 + len128)) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = (if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) then FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) else Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = (if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) then (let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) else raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks va_b0 va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks va_mods alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks alg offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 882 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 990 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 991 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 992 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 993 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 994 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 997 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 998 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1000 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1002 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_1:quad32) = iv_BE in label va_range1 "***** POSTCONDITION NOT MET AT line 1003 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 1006 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (plain_in:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1015 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_out:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1024 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (cipher_bound:nat) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in label va_range1 "***** POSTCONDITION NOT MET AT line 1028 column 77 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1032 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1034 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1038 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1039 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1040 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1042 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1046 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1047 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_quad_seq:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in label va_range1 "***** POSTCONDITION NOT MET AT line 1054 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in label va_range1 "***** POSTCONDITION NOT MET AT line 1055 column 106 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0)))))))))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)))) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_heap1:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap5:vale_heap) (va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in let (plain_in:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) in let (cipher_out:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b)) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) in let (cipher_bound:nat) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> len128x6 + len128 + 1) (fun _ -> len128x6 + len128) in Vale.AES.GCTR.gctr_partial alg cipher_bound plain_in cipher_out key ctr_BE_2 /\ (let (length_quad:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_s0) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) in let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let (raw_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 (FStar.Seq.Base.append #quad32 auth_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b) in let (total_bytes:nat) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in let (raw_quad_seq:(seq quad32)) = va_if (plain_num_bytes > (len128x6 + len128) `op_Multiply` 128 `op_Division` 8) (fun _ -> let (ab:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.append #quad32 raw_quad_seq (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b))) 0 total_bytes in let (pb:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits ab in Vale.Def.Types_s.le_bytes_to_seq_quad32 pb) (fun _ -> raw_quad_seq) in let (auth_quad_seq:(seq quad32)) = FStar.Seq.Base.append #quad32 raw_quad_seq (FStar.Seq.Base.create #quad32 1 length_quad) in va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block ctr_BE_1 (Vale.AES.GHash_s.ghash_LE h_LE auth_quad_seq) alg key 0))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks : alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks (va_code_Gcm_blocks alg offset) va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) = (va_QProc (va_code_Gcm_blocks alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b) (va_wpProof_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b)) #pop-options //-- //-- Gcm_blocks_wrapped #push-options "--z3rlimit 120" val va_code_Gcm_blocks_wrapped : alg:algorithm -> offset:int -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_wrapped alg offset = (va_Block (va_CCons (va_code_Gcm_blocks alg offset) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))) val va_codegen_success_Gcm_blocks_wrapped : alg:algorithm -> offset:int -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_wrapped alg offset = (va_pbool_and (va_codegen_success_Gcm_blocks alg offset) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_wrapped (va_mods:va_mods_t) (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (iv:supported_iv_LE) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks_wrapped alg offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1325 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1387 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rRsi va_old_s >= 0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_old_s <= 18446744073709551615 /\ 8 `op_Multiply` plain_num_bytes >= 0 /\ 8 `op_Multiply` plain_num_bytes <= 18446744073709551615) (fun _ -> let (va_arg38:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rRsi va_old_s) 1) (8 `op_Multiply` plain_num_bytes) 0) in let (va_arg37:Vale.Def.Types_s.quad32) = va_get_xmm 8 va_s in let (va_arg36:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s)) in let (va_arg35:Vale.Def.Types_s.quad32) = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let (va_arg34:Vale.AES.GCM_s.supported_iv_LE) = iv in let (va_arg33:Prims.nat) = va_get_reg64 rRsi va_old_s in let (va_arg32:Prims.nat) = plain_num_bytes in let (va_arg31:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in let (va_arg30:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg29:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg28:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_old_s) inout_b in let (va_arg27:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b in let (va_arg26:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b in let (va_arg25:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) abytes_b in let (va_arg24:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) auth_b in let (va_arg23:(FStar.Seq.Base.seq Vale.Def.Words_s.nat32)) = key in let (va_arg22:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1387 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.gcm_blocks_helper_simplified va_arg22 va_arg23 va_arg24 va_arg25 va_arg26 va_arg27 va_arg28 va_arg29 va_arg30 va_arg31 va_arg32 va_arg33 va_arg34 va_arg35 va_arg36 va_arg37 va_arg38) (va_QEmpty (())))))) val va_lemma_Gcm_blocks_wrapped : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> iv:supported_iv_LE -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks_wrapped alg offset) va_s0 /\ va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let h_LE = Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) in iv_BE == Vale.AES.GCM_s.compute_iv_BE h_LE iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) in let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 (va_get_reg64 rRsi va_s0) in let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) in let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 8 va_sM) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks_wrapped va_b0 va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks_wrapped va_mods alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_wrapped alg offset) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1182 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1292 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1293 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1294 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1295 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1296 column 58 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1299 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1300 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1302 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1304 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1305 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1306 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1307 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1308 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1309 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1318 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 8 va_sM) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes)))))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks_wrapped (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (iv:supported_iv_LE) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in sse_enabled /\ movbe_enabled /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Stack_i.valid_stack_slot64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) Public (va_get_stackTaint va_s0) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) abytes_ptr abytes_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 2 va_s0) (va_get_reg64 rR8 va_s0) iv_b 1 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 6 va_s0) in128x6_ptr in128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 6 va_s0) out128x6_ptr out128x6_b len128x6 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) in128_ptr in128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) out128_ptr out128_b len128 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) inout_ptr inout_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 3 va_s0) (va_get_reg64 rRbp va_s0) scratch_b 9 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ (Vale.X64.Decls.buffers_disjoint128 in128x6_b out128x6_b \/ in128x6_b == out128x6_b) /\ (Vale.X64.Decls.buffers_disjoint128 in128_b out128_b \/ in128_b == out128_b) /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ in128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ out128x6_ptr + 16 `op_Multiply` len128x6 < pow2_64 /\ in128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ out128_ptr + 16 `op_Multiply` len128 < pow2_64 /\ inout_ptr + 16 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 abytes_b == 1 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128x6_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out128_b /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128x6_b == len128x6 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in128_b == len128 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b == 1 /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ Vale.X64.Memory.buffer_addr #Vale.X64.Memory.vuint128 keys_b (va_get_mem_heaplet 0 va_s0) + 128 < pow2_64 /\ len128x6 `op_Modulus` 6 == 0 /\ (len128x6 > 0 ==> len128x6 >= 18) /\ 12 + len128x6 + 6 < pow2_32 /\ (va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) <= plain_num_bytes /\ plain_num_bytes < va_mul_nat len128x6 (128 `op_Division` 8) + va_mul_nat len128 (128 `op_Division` 8) + 128 `op_Division` 8) /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rRcx va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0))) /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let h_LE = Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) in iv_BE == Vale.AES.GCM_s.compute_iv_BE h_LE iv)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rdi:nat64) (va_x_rsi:nat64) (va_x_rbp:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm10:quad32) (va_x_xmm11:quad32) (va_x_xmm12:quad32) (va_x_xmm13:quad32) (va_x_xmm14:quad32) (va_x_xmm15:quad32) (va_x_heap1:vale_heap) (va_x_heap2:vale_heap) (va_x_heap3:vale_heap) (va_x_heap5:vale_heap) (va_x_heap6:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 6 va_x_heap6 (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_mem_heaplet 3 va_x_heap3 (va_upd_mem_heaplet 2 va_x_heap2 (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 15 va_x_xmm15 (va_upd_xmm 14 va_x_xmm14 (va_upd_xmm 13 va_x_xmm13 (va_upd_xmm 12 va_x_xmm12 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0))))))))))))))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 0) (va_get_stack va_s0) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 8) (va_get_stack va_s0) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 16) (va_get_stack va_s0) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 24) (va_get_stack va_s0) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 32) (va_get_stack va_s0) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 40) (va_get_stack va_s0) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 48) (va_get_stack va_s0) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 56) (va_get_stack va_s0) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + offset + 64) (va_get_stack va_s0) in Vale.X64.Decls.modifies_buffer128 out128_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.X64.Decls.modifies_buffer128 iv_b (va_get_mem_heaplet 2 va_s0) (va_get_mem_heaplet 2 va_sM) /\ Vale.X64.Decls.modifies_buffer128 scratch_b (va_get_mem_heaplet 3 va_s0) (va_get_mem_heaplet 3 va_sM) /\ Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.X64.Decls.modifies_buffer128 out128x6_b (va_get_mem_heaplet 6 va_s0) (va_get_mem_heaplet 6 va_sM) /\ plain_num_bytes < pow2_32 /\ va_get_reg64 rRsi va_s0 < pow2_32 /\ (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_s0) in let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b) in let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 (va_get_reg64 rRsi va_s0) in let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) in let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 8 va_sM) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes)))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks_wrapped : alg:algorithm -> offset:int -> auth_b:buffer128 -> abytes_b:buffer128 -> in128x6_b:buffer128 -> out128x6_b:buffer128 -> in128_b:buffer128 -> out128_b:buffer128 -> inout_b:buffer128 -> iv_b:buffer128 -> iv:supported_iv_LE -> scratch_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks_wrapped alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks_wrapped alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks_wrapped alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks_wrapped (va_code_Gcm_blocks_wrapped alg offset) va_s0 alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 6 va_sM (va_update_mem_heaplet 5 va_sM (va_update_mem_heaplet 3 va_sM (va_update_mem_heaplet 2 va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks_wrapped (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (iv:supported_iv_LE) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks_wrapped alg offset)) = (va_QProc (va_code_Gcm_blocks_wrapped alg offset) ([va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Gcm_blocks_wrapped alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b) (va_wpProof_Gcm_blocks_wrapped alg offset auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key round_keys keys_b hkeys_b)) #pop-options //-- //-- Save_registers #push-options "--z3rlimit 120" [@ "opaque_to_smt" va_qattr] let va_code_Save_registers win = (va_Block (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR15)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR14)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbp)) (va_CCons (va_code_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_CCons (if win then va_Block (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PushXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax)) (va_CNil ()))))))))))) else va_Block (va_CNil ())) (va_CNil ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Save_registers win = (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRbp)) (va_pbool_and (va_codegen_success_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (if win then va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PushXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax)) (va_ttrue ())))))))))) else va_ttrue ()) (va_ttrue ())))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Save_registers (va_mods:va_mods_t) (win:bool) : (va_quickCode unit (va_code_Save_registers win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1447 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rR15)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1448 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rR14)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1449 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1450 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1451 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1452 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1453 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRbp)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1454 column 16 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Push_Secret (va_op_reg_opr64_reg64 rRbx)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1456 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1457 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1458 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1459 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1460 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1461 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1462 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1463 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1464 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1465 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1466 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PushXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax)) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Save_registers va_b0 va_s0 win = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_flags; va_Mod_stack; va_Mod_reg64 rRsp; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Save_registers va_mods win in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Save_registers win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1397 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1410 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0 - 8 `op_Multiply` (8 + va_if win (fun _ -> 10 `op_Multiply` 2) (fun _ -> 0))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1411 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.init_rsp (va_get_stack va_sM) == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1412 column 91 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.valid_stack_slot64s (va_get_reg64 rRsp va_sM) (8 + va_if win (fun _ -> 10 `op_Multiply` 2) (fun _ -> 0)) (va_get_stack va_sM) Secret (va_get_stackTaint va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1414 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.modifies_stack (va_get_reg64 rRsp va_sM) (va_get_reg64 rRsp va_s0) (va_get_stack va_s0) (va_get_stack va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1415 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.modifies_stacktaint (va_get_reg64 rRsp va_sM) (va_get_reg64 rRsp va_s0) (va_get_stackTaint va_s0) (va_get_stackTaint va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1417 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 0) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1418 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 8) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 6 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1419 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 16) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1420 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 24) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1421 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 32) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 8 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1422 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 40) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 8 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1423 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 48) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 9 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1424 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 56) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 9 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1425 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 64) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 10 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1426 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 72) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 10 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1427 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 80) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 11 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1428 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 88) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 11 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1429 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 96) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 12 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1430 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 104) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 12 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1431 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 112) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 13 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1432 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 120) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 13 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1433 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 128) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 14 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1434 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 136) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 14 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1435 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 144) (va_get_stack va_sM) == Vale.Arch.Types.hi64 (va_get_xmm 15 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1436 column 63 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 152) (va_get_stack va_sM) == Vale.Arch.Types.lo64 (va_get_xmm 15 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1438 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 0 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1439 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 8 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rRbp va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1440 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 16 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rRdi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1441 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 24 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1442 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 32 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rR12 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1443 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 40 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rR13 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1444 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 48 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rR14 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1445 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_sM + 56 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_sM) == va_get_reg64 rR15 va_sM)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_flags; va_Mod_stack; va_Mod_reg64 rRsp; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Save_registers win va_s0 va_k = let (va_sM, va_f0) = va_lemma_Save_registers (va_code_Save_registers win) va_s0 win in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_flags va_sM (va_update_stack va_sM (va_update_reg64 rRsp va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_flags; va_Mod_stack; va_Mod_reg64 rRsp; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Restore_registers #push-options "--z3rlimit 120" [@ "opaque_to_smt" va_qattr] let va_code_Restore_registers win = (va_Block (va_CCons (if win then va_Block (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_PopXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax)) (va_CNil ()))))))))))) else va_Block (va_CNil ())) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRbp)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR12)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR14)) (va_CCons (va_code_Pop_Secret (va_op_dst_opr64_reg64 rR15)) (va_CNil ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Restore_registers win = (va_pbool_and (if win then va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_PopXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax)) (va_ttrue ())))))))))) else va_ttrue ()) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRbp)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR14)) (va_pbool_and (va_codegen_success_Pop_Secret (va_op_dst_opr64_reg64 rR15)) (va_ttrue ())))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Restore_registers (va_mods:va_mods_t) (win:bool) (old_rsp:nat) (old_xmm6:quad32) (old_xmm7:quad32) (old_xmm8:quad32) (old_xmm9:quad32) (old_xmm10:quad32) (old_xmm11:quad32) (old_xmm12:quad32) (old_xmm13:quad32) (old_xmm14:quad32) (old_xmm15:quad32) : (va_quickCode unit (va_code_Restore_registers win)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1536 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1537 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 6) (va_op_reg_opr64_reg64 rRax) old_xmm6) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1538 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 7) (va_op_reg_opr64_reg64 rRax) old_xmm7) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1539 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 8) (va_op_reg_opr64_reg64 rRax) old_xmm8) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1540 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rRax) old_xmm9) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1541 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 10) (va_op_reg_opr64_reg64 rRax) old_xmm10) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1542 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRax) old_xmm11) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1543 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 12) (va_op_reg_opr64_reg64 rRax) old_xmm12) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1544 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 13) (va_op_reg_opr64_reg64 rRax) old_xmm13) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1545 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 14) (va_op_reg_opr64_reg64 rRax) old_xmm14) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1546 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PopXmm_Secret (va_op_xmm_xmm 15) (va_op_reg_opr64_reg64 rRax) old_xmm15) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1549 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1550 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRbp)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1551 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRdi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1552 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rRsi)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1553 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1554 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1555 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rR14)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1556 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pop_Secret (va_op_dst_opr64_reg64 rR15)) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Restore_registers va_b0 va_s0 win old_rsp old_xmm6 old_xmm7 old_xmm8 old_xmm9 old_xmm10 old_xmm11 old_xmm12 old_xmm13 old_xmm14 old_xmm15 = let (va_mods:va_mods_t) = [va_Mod_stackTaint; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_stack; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok] in let va_qc = va_qcode_Restore_registers va_mods win old_rsp old_xmm6 old_xmm7 old_xmm8 old_xmm9 old_xmm10 old_xmm11 old_xmm12 old_xmm13 old_xmm14 old_xmm15 in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Restore_registers win) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1470 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1511 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_sM == old_rsp) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1512 column 48 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.init_rsp (va_get_stack va_sM) == Vale.X64.Stack_i.init_rsp (va_get_stack va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1513 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.modifies_stack (va_get_reg64 rRsp va_s0) (va_get_reg64 rRsp va_sM) (va_get_stack va_s0) (va_get_stack va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1515 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 0 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1516 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rRbp va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1517 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 16 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rRdi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1518 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 24 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1519 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rR12 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1520 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rR13 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1521 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 48 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rR14 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1522 column 80 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 56 + va_if win (fun _ -> 160) (fun _ -> 0)) (va_get_stack va_s0) == va_get_reg64 rR15 va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1524 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 6 va_sM == old_xmm6) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1525 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 7 va_sM == old_xmm7) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1526 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 8 va_sM == old_xmm8) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1527 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 9 va_sM == old_xmm9) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1528 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 10 va_sM == old_xmm10) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1529 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 11 va_sM == old_xmm11) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1530 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 12 va_sM == old_xmm12) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1531 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 13 va_sM == old_xmm13) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1532 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 14 va_sM == old_xmm14) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1533 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 15 va_sM == old_xmm15)) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_stack; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Restore_registers win old_rsp old_xmm6 old_xmm7 old_xmm8 old_xmm9 old_xmm10 old_xmm11 old_xmm12 old_xmm13 old_xmm14 old_xmm15 va_s0 va_k = let (va_sM, va_f0) = va_lemma_Restore_registers (va_code_Restore_registers win) va_s0 win old_rsp old_xmm6 old_xmm7 old_xmm8 old_xmm9 old_xmm10 old_xmm11 old_xmm12 old_xmm13 old_xmm14 old_xmm15 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_stackTaint va_sM (va_update_flags va_sM (va_update_reg64 rRsp va_sM (va_update_stack va_sM (va_update_xmm 15 va_sM (va_update_xmm 14 va_sM (va_update_xmm 13 va_sM (va_update_xmm 12 va_sM (va_update_xmm 11 va_sM (va_update_xmm 10 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM va_s0))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_stackTaint; va_Mod_flags; va_Mod_reg64 rRsp; va_Mod_stack; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRbp; va_Mod_reg64 rRbx; va_Mod_reg64 rRax]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Gcm_blocks_stdcall #push-options "--z3rlimit 1600" [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_stdcall win alg = (va_Block (va_CCons (va_code_CreateHeaplets ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Save_registers win) (va_CCons (if win then va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR9)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 0)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 8)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 88)) (va_CNil ())))))))) else va_Block (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (64 + 8 + 72)) (va_CNil ()))) (va_CCons (va_code_Gcm_blocks_wrapped alg (Vale.X64.Decls.total_if #int win (224 + 56) (64 + 8))) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR15) (va_op_reg_opr64_reg64 rRsp) (Vale.X64.Decls.total_if #int win (224 + 40 + 96) (64 + 8 + 80))) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 4) (va_op_reg_opr64_reg64 rR15) (va_op_xmm_xmm 8) 0 Secret) (va_CCons (va_code_Restore_registers win) (va_CCons (va_code_DestroyHeaplets ()) (va_CNil ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_stdcall win alg = (va_pbool_and (va_codegen_success_CreateHeaplets ()) (va_pbool_and (va_codegen_success_Save_registers win) (va_pbool_and (if win then va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR9)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 0)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 8)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 88)) (va_ttrue ()))))))) else va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (64 + 8 + 72)) (va_ttrue ())) (va_pbool_and (va_codegen_success_Gcm_blocks_wrapped alg (Vale.X64.Decls.total_if #int win (224 + 56) (64 + 8))) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR15) (va_op_reg_opr64_reg64 rRsp) (Vale.X64.Decls.total_if #int win (224 + 40 + 96) (64 + 8 + 80))) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 4) (va_op_reg_opr64_reg64 rR15) (va_op_xmm_xmm 8) 0 Secret) (va_pbool_and (va_codegen_success_Restore_registers win) (va_pbool_and (va_codegen_success_DestroyHeaplets ()) (va_ttrue ()))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_stdcall (va_mods:va_mods_t) (win:bool) (alg:algorithm) (auth_b:buffer128) (auth_bytes:nat64) (auth_num:nat64) (keys_b:buffer128) (iv_b:buffer128) (iv:supported_iv_LE) (hkeys_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (len128x6_num:nat64) (in128_b:buffer128) (out128_b:buffer128) (len128_num:nat64) (inout_b:buffer128) (plain_num:nat64) (scratch_b:buffer128) (tag_b:buffer128) (key:(seq nat32)) : (va_quickCode unit (va_code_Gcm_blocks_stdcall win alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (auth_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s) (fun _ -> va_get_reg64 rRdi va_s) in let (auth_num_bytes:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s) (fun _ -> va_get_reg64 rRsi va_s) in let (auth_len:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR8 va_s) (fun _ -> va_get_reg64 rRdx va_s) in let (keys_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rR9 va_s) (fun _ -> va_get_reg64 rRcx va_s) in let (iv_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 32 + 8 + 0) (va_get_stack va_s)) (fun _ -> va_get_reg64 rR8 va_s) in let (xip:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 32 + 8 + 8) (va_get_stack va_s)) (fun _ -> va_get_reg64 rR9 va_s) in let (abytes_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 16) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 0) (va_get_stack va_s)) in let (in128x6_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 24) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 8) (va_get_stack va_s)) in let (out128x6_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 32) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 16) (va_get_stack va_s)) in let (len128x6:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 40) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 24) (va_get_stack va_s)) in let (in128_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 48) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 32) (va_get_stack va_s)) in let (out128_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 56) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 40) (va_get_stack va_s)) in let (len128:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 64) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 48) (va_get_stack va_s)) in let (inout_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 72) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 56) (va_get_stack va_s)) in let (plain_num_bytes:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 80) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 64) (va_get_stack va_s)) in let (scratch_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 88) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 72) (va_get_stack va_s)) in let (tag_ptr:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 40 + 96) (va_get_stack va_s)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + 8 + 80) (va_get_stack va_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1788 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_CreateHeaplets ([declare_buffer128 auth_b 1 Secret Immutable; declare_buffer128 abytes_b 7 Secret Immutable; declare_buffer128 in128x6_b 6 Secret Immutable; declare_buffer128 in128_b 1 Secret Immutable; declare_buffer128 hkeys_b 0 Secret Immutable; declare_buffer128 keys_b 0 Secret Immutable; declare_buffer128 tag_b 4 Secret Mutable; declare_buffer128 iv_b 2 Public Mutable; declare_buffer128 scratch_b 3 Secret Mutable; declare_buffer128 out128x6_b 6 Secret Mutable; declare_buffer128 out128_b 1 Secret Mutable; declare_buffer128 inout_b 5 Secret Mutable])) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1802 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (alg_10639:Vale.AES.AES_common_s.algorithm) (key_10640:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (input_LE_10641:Vale.Def.Types_s.quad32) -> Vale.AES.AES_s.is_aes_key_LE alg_10639 key_10640) alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) (fun _ -> let (va_arg47:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0)) in let (va_arg46:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s) hkeys_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1802 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hkeys_reqs_pub_priv va_arg46 va_arg47) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1803 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> Vale.X64.Stack_i.valid_src_stack64 (va_get_reg64 rRsp va_s + 40) (va_get_stack va_s)) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1804 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> Vale.X64.Stack_i.valid_src_stack64 (va_get_reg64 rRsp va_s + 80) (va_get_stack va_s)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1805 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Save_registers win) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1808 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qInlineIf va_mods win (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1809 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdi) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1810 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRsi) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1811 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRdx) (va_op_opr64_reg64 rR8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1812 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR9)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1813 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_s + 224 == va_get_reg64 rRsp va_old_s) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1814 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.valid_src_stack64 (va_get_reg64 rRsp va_s + 224 + 40) (va_get_stack va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1815 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR8) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1816 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR9) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1817 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (224 + 40 + 88)) (va_QEmpty (())))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1819 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_s + 64 == va_get_reg64 rRsp va_old_s) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1820 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Stack_i.valid_src_stack64 (va_get_reg64 rRsp va_s + 64 + 80) (va_get_stack va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1821 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbp) (va_op_reg_opr64_reg64 rRsp) (64 + 8 + 72)) (va_QEmpty (()))))))) (fun (va_s:va_state) va_g -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1824 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_wrapped alg (Vale.X64.Decls.total_if #int win (224 + 56) (64 + 8)) auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b iv scratch_b key (Vale.X64.Decls.buffer128_as_seq (va_get_mem_heaplet 0 va_old_s) keys_b) keys_b hkeys_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1842 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR15) (va_op_reg_opr64_reg64 rRsp) (Vale.X64.Decls.total_if #int win (224 + 40 + 96) (64 + 8 + 80))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1843 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 4) (va_op_reg_opr64_reg64 rR15) (va_op_xmm_xmm 8) 0 Secret tag_b 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1845 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Restore_registers win (va_get_reg64 rRsp va_old_s) (va_get_xmm 6 va_old_s) (va_get_xmm 7 va_old_s) (va_get_xmm 8 va_old_s) (va_get_xmm 9 va_old_s) (va_get_xmm 10 va_old_s) (va_get_xmm 11 va_old_s) (va_get_xmm 12 va_old_s) (va_get_xmm 13 va_old_s) (va_get_xmm 14 va_old_s) (va_get_xmm 15 va_old_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1847 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_DestroyHeaplets ()) (va_QEmpty (())))))))))))))))
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Stack.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsVector.fsti.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.InsAes.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Math.Poly2.Bits_s.fsti.checked", "Vale.Lib.Meta.fsti.checked", "Vale.Lib.Basic.fsti.checked", "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.X64.GHash.fsti.checked", "Vale.AES.X64.GF128_Mul.fsti.checked", "Vale.AES.X64.GCTR.fsti.checked", "Vale.AES.X64.AESopt2.fsti.checked", "Vale.AES.X64.AESopt.fsti.checked", "Vale.AES.X64.AESGCM.fsti.checked", "Vale.AES.X64.AES.fsti.checked", "Vale.AES.OptPublic.fsti.checked", "Vale.AES.GHash_s.fst.checked", "Vale.AES.GHash.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_s.fst.checked", "Vale.AES.GCTR.fsti.checked", "Vale.AES.GCM_s.fst.checked", "Vale.AES.GCM_helpers.fsti.checked", "Vale.AES.GCM.fsti.checked", "Vale.AES.AES_s.fst.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.X64.GCMencryptOpt.fst" }
[ { "abbrev": false, "full_module": "Vale.Lib.Basic", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 1600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
va_b0: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> win: Prims.bool -> alg: Vale.AES.AES_common_s.algorithm -> auth_b: Vale.X64.Memory.buffer128 -> auth_bytes: Vale.X64.Memory.nat64 -> auth_num: Vale.X64.Memory.nat64 -> keys_b: Vale.X64.Memory.buffer128 -> iv_b: Vale.X64.Memory.buffer128 -> iv: Vale.AES.GCM_s.supported_iv_LE -> hkeys_b: Vale.X64.Memory.buffer128 -> abytes_b: Vale.X64.Memory.buffer128 -> in128x6_b: Vale.X64.Memory.buffer128 -> out128x6_b: Vale.X64.Memory.buffer128 -> len128x6_num: Vale.X64.Memory.nat64 -> in128_b: Vale.X64.Memory.buffer128 -> out128_b: Vale.X64.Memory.buffer128 -> len128_num: Vale.X64.Memory.nat64 -> inout_b: Vale.X64.Memory.buffer128 -> plain_num: Vale.X64.Memory.nat64 -> scratch_b: Vale.X64.Memory.buffer128 -> tag_b: Vale.X64.Memory.buffer128 -> key: FStar.Seq.Base.seq Vale.X64.Memory.nat32 -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
Prims.Ghost
[]
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Prims.bool", "Vale.AES.AES_common_s.algorithm", "Vale.X64.Memory.buffer128", "Vale.X64.Memory.nat64", "Vale.AES.GCM_s.supported_iv_LE", "FStar.Seq.Base.seq", "Vale.X64.Memory.nat32", "Vale.X64.QuickCodes.fuel", "Prims.unit", "FStar.Pervasives.Native.Mktuple2", "Vale.X64.Decls.va_fuel", "Vale.X64.QuickCode.va_lemma_norm_mods", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_stackTaint", "Vale.X64.QuickCode.va_Mod_stack", "Vale.X64.QuickCode.va_Mod_flags", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_xmm", "Vale.X64.QuickCode.va_Mod_reg64", "Vale.X64.Machine_s.rR15", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR12", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rRsp", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRax", "Vale.X64.QuickCode.va_Mod_ok", "Vale.X64.QuickCode.va_Mod_mem", "Prims.Nil", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.list", "Vale.X64.QuickCode.__proj__QProc__item__mods", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks_stdcall", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple3", "Vale.X64.State.vale_state", "Vale.X64.QuickCodes.va_wp_sound_code_norm", "Prims.l_and", "Vale.X64.QuickCodes.label", "Vale.X64.QuickCodes.va_range1", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.X64.Decls.modifies_mem", "Vale.X64.Decls.loc_union", "Vale.X64.Decls.loc_buffer", "Vale.X64.Memory.vuint128", "Vale.X64.Decls.va_get_mem", "Prims.op_LessThan", "Vale.X64.Machine_s.pow2_32", "FStar.Seq.Base.length", "Vale.Def.Types_s.nat8", "Vale.AES.AES_common_s.is_aes_key", "Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE", "FStar.Pervasives.Native.__proj__Mktuple2__item___1", "Vale.AES.GCM_s.gcm_encrypt_LE", "Vale.Def.Types_s.le_quad32_to_bytes", "Vale.X64.Decls.buffer128_read", "FStar.Pervasives.Native.__proj__Mktuple2__item___2", "Vale.Def.Types_s.nat64", "Vale.X64.Decls.va_get_reg64", "Prims.l_imp", "Vale.X64.Decls.quad32", "Vale.X64.Decls.va_get_xmm", "Prims.l_not", "Vale.Def.Words_s.nat8", "FStar.Seq.Base.slice", "Vale.Def.Types_s.le_seq_quad32_to_bytes", "Vale.Def.Types_s.quad32", "FStar.Seq.Base.append", "Vale.X64.Decls.s128", "Vale.X64.Decls.va_int_range", "Vale.X64.Decls.va_if", "Vale.X64.Stack_i.load_stack64", "Prims.op_Addition", "Vale.X64.Decls.va_get_stack", "Vale.X64.QuickCode.quickCode", "Vale.AES.X64.GCMencryptOpt.va_qcode_Gcm_blocks_stdcall" ]
[]
false
false
false
false
false
let va_lemma_Gcm_blocks_stdcall va_b0 va_s0 win alg auth_b auth_bytes auth_num keys_b iv_b iv hkeys_b abytes_b in128x6_b out128x6_b len128x6_num in128_b out128_b len128_num inout_b plain_num scratch_b tag_b key =
let va_mods:va_mods_t = [ va_Mod_stackTaint; va_Mod_stack; va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 4; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_mem_layout; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ] in let va_qc = va_qcode_Gcm_blocks_stdcall va_mods win alg auth_b auth_bytes auth_num keys_b iv_b iv hkeys_b abytes_b in128x6_b out128x6_b len128x6_num in128_b out128_b len128_num inout_b plain_num scratch_b tag_b key in let va_sM, va_fM, va_g = va_wp_sound_code_norm (va_code_Gcm_blocks_stdcall win alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 1562 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let auth_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let auth_num_bytes:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let auth_len:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) in let keys_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) in let iv_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 0) (va_get_stack va_s0)) (fun _ -> va_get_reg64 rR8 va_s0) in let xip:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 32 + 8 + 8) (va_get_stack va_s0)) (fun _ -> va_get_reg64 rR9 va_s0) in let abytes_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 16) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 0) (va_get_stack va_s0)) in let in128x6_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 24) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 8) (va_get_stack va_s0)) in let out128x6_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 32) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 16) (va_get_stack va_s0)) in let len128x6:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 40) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 24) (va_get_stack va_s0)) in let in128_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 48) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 32) (va_get_stack va_s0)) in let out128_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 56) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 40) (va_get_stack va_s0)) in let len128:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 64) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 48) (va_get_stack va_s0)) in let inout_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 72) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 56) (va_get_stack va_s0)) in let plain_num_bytes:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 80) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 64) (va_get_stack va_s0)) in let scratch_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 88) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 72) (va_get_stack va_s0)) in let tag_ptr:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 40 + 96) (va_get_stack va_s0)) (fun _ -> Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s0 + 8 + 80) (va_get_stack va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 1731 column 72 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_mem (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 tag_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 iv_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 scratch_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128x6_b) (Vale.X64.Decls.loc_union (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 out128_b) (Vale.X64.Decls.loc_buffer #Vale.X64.Memory.vuint128 inout_b)))) )) (va_get_mem va_s0) (va_get_mem va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1734 column 39 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (plain_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1735 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_num_bytes < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1737 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let iv_BE = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 1739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) auth_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) abytes_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1740 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let auth_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes auth_raw_quads) 0 auth_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1741 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_s0) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_s0) in128_b)) (Vale.X64.Decls.s128 (va_get_mem va_s0) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1742 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let plain_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes plain_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1743 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem va_sM) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem va_sM) out128_b)) (Vale.X64.Decls.s128 (va_get_mem va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 1744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let cipher_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes cipher_raw_quads) 0 plain_num_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 1754 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (l_and (l_and (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 auth_bytes < pow2_32) (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 plain_bytes < pow2_32)) (Vale.AES.AES_common_s.is_aes_key alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key))) (cipher_bytes == __proj__Mktuple2__item___1 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8 ) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key) iv plain_bytes auth_bytes))) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.X64.Decls.buffer128_read tag_b 0 (va_get_mem va_sM)) == __proj__Mktuple2__item___2 #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8 ) #(FStar.Seq.Base.seq Vale.Def.Types_s.nat8) (Vale.AES.GCM_s.gcm_encrypt_LE alg (Vale.Def.Words.Seq_s.seq_nat32_to_seq_nat8_LE key ) iv plain_bytes auth_bytes))) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1757 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsp va_sM == va_get_reg64 rRsp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1760 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1761 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1762 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRdi va_sM == va_get_reg64 rRdi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1763 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1764 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1765 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1766 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1767 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1769 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 6 va_sM == va_get_xmm 6 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1770 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 7 va_sM == va_get_xmm 7 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1771 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1772 column 35 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 9 va_sM == va_get_xmm 9 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1773 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 10 va_sM == va_get_xmm 10 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1774 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 11 va_sM == va_get_xmm 11 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1775 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 12 va_sM == va_get_xmm 12 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1776 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 13 va_sM == va_get_xmm 13 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1777 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 14 va_sM == va_get_xmm 14 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1778 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (win ==> va_get_xmm 15 va_sM == va_get_xmm 15 va_s0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1781 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 ) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1782 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rRbp va_sM == va_get_reg64 rRbp va_s0 ) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1783 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0 ) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1784 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0 ) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1785 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0 ) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 1786 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~win ==> va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0 )))))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([ va_Mod_stackTaint; va_Mod_stack; va_Mod_flags; va_Mod_mem_heaplet 6; va_Mod_mem_heaplet 5; va_Mod_mem_heaplet 4; va_Mod_mem_heaplet 3; va_Mod_mem_heaplet 2; va_Mod_mem_heaplet 1; va_Mod_mem_layout; va_Mod_xmm 15; va_Mod_xmm 14; va_Mod_xmm 13; va_Mod_xmm 12; va_Mod_xmm 11; va_Mod_xmm 10; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRbp; va_Mod_reg64 rRsp; va_Mod_reg64 rRsi; va_Mod_reg64 rRdi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem ]) va_sM va_s0; (va_sM, va_fM)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.const
val const (#a: Type) (xa: a) : amap a
val const (#a: Type) (xa: a) : amap a
let const (#a:Type) (xa:a) : amap a = ([], xa)
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 46, "end_line": 62, "start_col": 0, "start_line": 62 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
xa: a -> FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a
Prims.Tot
[ "total" ]
[]
[ "FStar.Pervasives.Native.Mktuple2", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "Prims.Nil", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap" ]
[]
false
false
false
true
false
let const (#a: Type) (xa: a) : amap a =
([], xa)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.term_eq
val term_eq : _: FStar.Stubs.Reflection.Types.term -> _: FStar.Stubs.Reflection.Types.term -> FStar.Tactics.Effect.Tac Prims.bool
let term_eq = FStar.Tactics.term_eq_old
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 24, "start_col": 0, "start_line": 24 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
_: FStar.Stubs.Reflection.Types.term -> _: FStar.Stubs.Reflection.Types.term -> FStar.Tactics.Effect.Tac Prims.bool
FStar.Tactics.Effect.Tac
[]
[]
[ "FStar.Stubs.Tactics.V1.Builtins.term_eq_old" ]
[]
false
true
false
false
false
let term_eq =
FStar.Tactics.term_eq_old
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.select
val select (#a: Type) (x: atom) (am: amap a) : Tot a
val select (#a: Type) (x: atom) (am: amap a) : Tot a
let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 15, "end_line": 66, "start_col": 0, "start_line": 63 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.Tactics.CanonCommMonoidSimple.Equiv.atom -> am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a -> a
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "FStar.List.Tot.Base.assoc", "FStar.Pervasives.Native.fst", "Prims.list", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.option", "FStar.Pervasives.Native.snd" ]
[]
false
false
false
true
false
let select (#a: Type) (x: atom) (am: amap a) : Tot a =
match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.atom
val atom:eqtype
val atom:eqtype
let atom : eqtype = int
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 23, "end_line": 41, "start_col": 0, "start_line": 41 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Prims.eqtype
Prims.Tot
[ "total" ]
[]
[ "Prims.int" ]
[]
false
false
false
true
false
let atom:eqtype =
int
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.amap
val amap : a: Type -> Type
let amap (a:Type) = list (atom * a) * a
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 39, "end_line": 61, "start_col": 0, "start_line": 61 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Type -> Type
Prims.Tot
[ "total" ]
[]
[ "FStar.Pervasives.Native.tuple2", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom" ]
[]
false
false
false
true
true
let amap (a: Type) =
list (atom * a) * a
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.permute_correct
val permute_correct : p: FStar.Tactics.CanonCommMonoidSimple.Equiv.permute -> Type
let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs))
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 67, "end_line": 139, "start_col": 0, "start_line": 137 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
p: FStar.Tactics.CanonCommMonoidSimple.Equiv.permute -> Type
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.permute", "FStar.Algebra.CommMonoid.Equiv.equiv", "FStar.Algebra.CommMonoid.Equiv.cm", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "Prims.unit", "Prims.l_True", "Prims.squash", "FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq", "FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
false
true
true
let permute_correct (p: permute) =
#a: Type -> eq: equiv a -> m: cm a eq -> am: amap a -> xs: list atom -> Lemma (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (p xs)))
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.update
val update (#a: Type) (x: atom) (xa: a) (am: amap a) : amap a
val update (#a: Type) (x: atom) (xa: a) (am: amap a) : amap a
let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 25, "end_line": 68, "start_col": 0, "start_line": 67 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.Tactics.CanonCommMonoidSimple.Equiv.atom -> xa: a -> am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a -> FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "FStar.Pervasives.Native.Mktuple2", "Prims.list", "FStar.Pervasives.Native.tuple2", "Prims.Cons", "FStar.Pervasives.Native.fst", "FStar.Pervasives.Native.snd" ]
[]
false
false
false
true
false
let update (#a: Type) (x: atom) (xa: a) (am: amap a) : amap a =
(x, xa) :: fst am, snd am
false
Vale.AES.X64.GCMencryptOpt.fst
Vale.AES.X64.GCMencryptOpt.va_qcode_Gcm_blocks
val va_qcode_Gcm_blocks (va_mods: va_mods_t) (alg: algorithm) (offset: int) (auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b: buffer128) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_b hkeys_b: buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset))
val va_qcode_Gcm_blocks (va_mods: va_mods_t) (alg: algorithm) (offset: int) (auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b: buffer128) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_b hkeys_b: buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset))
let va_qcode_Gcm_blocks (va_mods:va_mods_t) (alg:algorithm) (offset:int) (auth_b:buffer128) (abytes_b:buffer128) (in128x6_b:buffer128) (out128x6_b:buffer128) (in128_b:buffer128) (out128_b:buffer128) (inout_b:buffer128) (iv_b:buffer128) (scratch_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (abytes_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let (in128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let (out128x6_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let (len128x6:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let (in128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let (out128_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let (len128:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let (inout_ptr:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let (plain_num_bytes:Vale.X64.Memory.nat64) = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1057 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1058 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1059 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1060 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in let (y_auth_bytes:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1067 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1068 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1069 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1070 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1071 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> let (iv_BE:Vale.X64.Decls.quad32) = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let (ctr_BE_1:quad32) = iv_BE in let (ctr_BE_2:quad32) = Vale.AES.GCTR_s.inc32 iv_BE 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1077 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public iv_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1079 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret scratch_b 0) (fun (va_s:va_state) _ -> let (j0:quad32) = va_get_xmm 1 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1081 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load_one_lsb (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1085 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AES_GCM_encrypt_6mult alg h_LE iv_b in128x6_b out128x6_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s:va_state) _ -> let (y_cipher128x6:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (auth_in:(seq quad32)) = auth_quad_seq in let (va_arg138:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg137:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg136:Vale.Def.Types_s.quad32) = y_auth_bytes in let (va_arg135:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1088 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg135 va_arg136 y_cipher128x6 va_arg137 va_arg138) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1092 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1093 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1094 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1097 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1098 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1099 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1100 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks128 alg in128_b out128_b key round_keys keys_b hkeys_b h_LE) (fun (va_s:va_state) _ -> let (y_cipher128:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg134:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg133:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg132:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1102 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg132 y_cipher128x6 y_cipher128 va_arg133 va_arg134) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Stack_lemma (va_op_reg64_reg64 rRsp) (offset + 24) Public) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1107 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1108 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (fun (va_s:va_state) _ -> let (y_inout:Vale.Def.Types_s.quad32) = y_cipher128 in let (plain_byte_seq:(seq quad32)) = empty_seq_quad32 in let (cipher_byte_seq:(seq quad32)) = empty_seq_quad32 in let (va_arg131:Vale.Def.Types_s.quad32) = va_get_xmm 11 va_s in let (va_arg130:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg129:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg128:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg127:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1113 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg127 va_arg128 va_arg129 va_arg130 va_arg131) (let (total_bytes:(va_int_at_least 0)) = FStar.Seq.Base.length #quad32 auth_quad_seq `op_Multiply` 16 + plain_num_bytes in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1117 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1119 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1120 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1121 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1122 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1126 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes y_0 auth_in h_LE) (fun (va_s:va_state) _ -> let y_inout = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq quad32)) = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1130 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 total_bytes in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let auth_in = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let plain_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_old_s) inout_b in let cipher_byte_seq = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout)))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_in, cipher_byte_seq, plain_byte_seq, y_inout))))) (fun (va_s:va_state) va_g -> let ((auth_in:(seq quad32)), (cipher_byte_seq:(seq quad32)), (plain_byte_seq:(seq quad32)), (y_inout:Vale.Def.Types_s.quad32)) = va_g in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1141 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1142 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad32:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1145 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_inout) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1148 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret scratch_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1151 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_register alg key round_keys keys_b) (fun (va_s:va_state) _ -> let (va_arg126:Vale.Def.Types_s.quad32) = va_get_xmm 8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1154 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton va_arg126) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (icb_BE_677:Vale.Def.Types_s.quad32) (plain_LE_678:Vale.Def.Types_s.quad32) (alg_679:Vale.AES.AES_common_s.algorithm) (key_680:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (i_681:Prims.int) -> Vale.AES.AES_s.is_aes_key_LE alg_679 key_680) j0 y_final alg key 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_s == Vale.AES.GCTR_s.gctr_encrypt_block j0 y_final alg key 0) (let (plain128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (cipher128:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in128_b) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1160 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 plain_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 plain128 plain_byte_seq) plain128) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1161 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #quad32 cipher_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.append #Vale.X64.Decls.quad32 cipher128 cipher_byte_seq) cipher128) (let (va_arg125:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 in let (va_arg124:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg123:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg122:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b in let (va_arg121:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b in let (va_arg120:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let (va_arg119:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b in let (va_arg118:Prims.nat) = len128 in let (va_arg117:Prims.nat) = len128x6 in let (va_arg116:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1163 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg116 va_arg117 va_arg118 va_arg119 va_arg120 va_arg121 va_arg122 va_arg123 va_arg124 va_arg125) (let (va_arg115:Vale.Def.Types_s.quad32) = Vale.AES.GCTR.inc32lite (Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6) len128 in let (va_arg114:Vale.Def.Types_s.quad32) = ctr_BE_2 in let (va_arg113:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg112:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = cipher_byte_seq in let (va_arg111:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = plain_byte_seq in let (va_arg110:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out128_b) in let (va_arg109:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_old_s) in128x6_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) in128_b) in let (va_arg108:Prims.nat) = FStar.Seq.Base.length #quad32 plain_byte_seq in let (va_arg107:Prims.nat) = len128x6 + len128 in let (va_arg106:Vale.AES.AES_common_s.algorithm) = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1169 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg106 va_arg107 va_arg108 va_arg109 va_arg110 va_arg111 va_arg112 va_arg113 va_arg114 va_arg115) (let (va_arg105:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in let (va_arg104:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1177 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg104 y_inout y_final va_arg105 length_quad32) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (FStar.Seq.Base.create #Vale.Def.Types_s.quad32 1 length_quad32) in let (va_arg103:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_in in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1179 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_to_ghash h_LE va_arg103) (va_QEmpty (()))))))))))))))))))))))))))))))))))))))))))))))))
{ "file_name": "obj/Vale.AES.X64.GCMencryptOpt.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 55, "end_line": 2623, "start_col": 0, "start_line": 2385 }
module Vale.AES.X64.GCMencryptOpt open Vale.Def.Prop_s open Vale.Def.Opaque_s open FStar.Seq open Vale.Def.Words_s open Vale.Def.Words.Seq_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl open Vale.AES.AES_s open Vale.AES.GCTR_s open Vale.AES.GCTR open Vale.AES.GCM open Vale.AES.GHash_s open Vale.AES.GHash open Vale.AES.GCM_s open Vale.AES.X64.AES open Vale.AES.GF128_s open Vale.AES.GF128 open Vale.Poly1305.Math open Vale.AES.GCM_helpers open Vale.AES.X64.GHash open Vale.AES.X64.GCTR open Vale.X64.Machine_s open Vale.X64.Memory open Vale.X64.Stack_i open Vale.X64.State open Vale.X64.Decls open Vale.X64.InsBasic open Vale.X64.InsMem open Vale.X64.InsVector open Vale.X64.InsStack open Vale.X64.InsAes open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.AES.X64.GF128_Mul open Vale.X64.Stack open Vale.X64.CPU_Features_s open Vale.Math.Poly2.Bits_s open Vale.AES.X64.AESopt open Vale.AES.X64.AESGCM open Vale.AES.X64.AESopt2 open Vale.Lib.Meta open Vale.AES.OptPublic open Vale.Lib.Basic #reset-options "--z3rlimit 20" //-- Gctr_register [@ "opaque_to_smt" va_qattr] let va_code_Gctr_register alg = (va_Block (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_CCons (va_code_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_CNil ()))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_register alg = (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (va_ttrue ()))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_register (va_mods:va_mods_t) (alg:algorithm) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_register alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 141 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR_s.inc32 (va_get_xmm 0 va_s) 0 == va_get_xmm 0 va_s) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 142 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 143 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (va_get_xmm 0 va_s) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 144 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun (alg_10639:Vale.AES.AES_common_s.algorithm) (key_10640:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) (input_LE_10641:Vale.Def.Types_s.quad32) -> Vale.AES.AES_s.is_aes_key_LE alg_10639 key_10640) alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 145 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.AES_s.aes_encrypt_LE alg key (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_old_s))) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 147 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 8) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 148 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 8) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> let (va_arg18:(FStar.Seq.Base.seq Vale.Def.Types_s.nat32)) = key in let (va_arg17:Vale.AES.AES_common_s.algorithm) = alg in let (va_arg16:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s) in let (va_arg15:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 152 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_encrypt_one_block va_arg15 va_arg16 va_arg17 va_arg18) (va_QEmpty (())))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_register va_b0 va_s0 alg key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gctr_register va_mods alg key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_register alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 119 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 138 column 136 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.Def.Types_s.le_seq_quad32_to_bytes (FStar.Seq.Base.create #quad32 1 (va_get_xmm 8 va_sM)) == Vale.AES.GCTR_s.gctr_encrypt_LE (va_get_xmm 0 va_s0) (Vale.Def.Types_s.le_quad32_to_bytes (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0))) alg key) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 139 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.AES.GCTR_s.gctr_encrypt_block (va_get_xmm 0 va_s0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) alg key 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_register alg key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_register (va_code_Gctr_register alg) va_s0 alg key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_reg64 rR12 va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))))); va_lemma_norm_mods ([va_Mod_reg64 rR12; va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gctr_blocks128_body0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_body0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_body0 alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_CCons (va_code_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_CNil ())))))))))))) val va_codegen_success_Gctr_blocks128_body0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_body0 alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_ttrue ()))))))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_body0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 249 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 250 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 251 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 252 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 254 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_xmm_xmm 2) (va_op_reg_opr64_reg64 rR11) 0 Secret in_b (va_get_reg64 rRbx va_s)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 255 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 2) (va_op_xmm_xmm 0)) (fun (va_s:va_state) _ -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 256 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 1) (va_op_reg_opr64_reg64 rR10) (va_op_xmm_xmm 2) 0 Secret out_b (va_get_reg64 rRbx va_s)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 258 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 259 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 260 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 261 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Inc32 (va_op_xmm_xmm 11) (va_op_xmm_xmm 10)) (va_QEmpty (())))))))))))))) val va_lemma_Gctr_blocks128_body0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_body0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0)) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_body0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_body0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_body0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 245 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ precedes_wrap (va_get_reg64 rRdx va_sM - va_get_reg64 rRbx va_sM) (va_get_reg64 rRdx va_s0 - va_get_reg64 rRbx va_s0) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_body0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_body0 (va_code_Gctr_blocks128_body0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_body0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_body0 alg)) = (va_QProc (va_code_Gctr_blocks128_body0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_body0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128_while0 #push-options "--z3rlimit 30" val va_code_Gctr_blocks128_while0 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128_while0 alg = (va_Block (va_CCons (va_While (va_cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (va_Block (va_CCons (va_code_Gctr_blocks128_body0 alg) (va_CNil ())))) (va_CNil ()))) val va_codegen_success_Gctr_blocks128_while0 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128_while0 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128_body0 alg) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128_while0 (va_mods:va_mods_t) (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (in_b:buffer128) = va_in_in_b in let (key:(seq nat32)) = va_in_key in let (keys_b:buffer128) = va_in_keys_b in let (out_b:buffer128) = va_in_out_b in let (plain_quads:(seq quad32)) = va_in_plain_quads in let (round_keys:(seq quad32)) = va_in_round_keys in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qWhile va_mods (Cmp_ne (va_op_cmp_reg64 rRbx) (va_op_cmp_reg64 rRdx)) (fun va_g -> qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_body0 va_old alg in_b key keys_b out_b plain_quads round_keys) (va_QEmpty (())))) (fun (va_s:va_state) va_g -> va_get_ok va_s /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s /\ va_get_reg64 rRbx va_s <= va_get_reg64 rRdx va_s) /\ va_get_reg64 rR11 va_s == va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_reg64 rR10 va_s == va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRbx va_s /\ va_get_xmm 11 va_s == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s) /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRax va_s) in_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s) (va_get_reg64 rRdi va_s) out_b (va_get_reg64 rRdx va_s) (va_get_mem_layout va_s) Secret /\ va_get_reg64 rRax va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ va_get_reg64 rRdi va_s + 16 `op_Multiply` va_get_reg64 rRdx va_s < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b /\ (va_get_reg64 rRbx va_s =!= va_get_reg64 rRdx va_s ==> Vale.AES.GCTR.partial_seq_agreement plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b) (va_get_reg64 rRbx va_s) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b)) /\ va_get_reg64 rRdx va_s < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s) (va_get_mem_heaplet 0 va_s) (va_get_mem_layout va_s) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s) plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b) key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) out_b)) (fun (va_s:va_state) va_g -> va_get_reg64 rRdx va_s - va_get_reg64 rRbx va_s) (())) (fun (va_s:va_state) va_g -> let va_g = () in va_QEmpty (())))) val va_lemma_Gctr_blocks128_while0 : va_b0:va_code -> va_s0:va_state -> va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gctr_blocks128_while0 alg) va_s0 /\ va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) /\ va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0)))))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128_while0 va_b0 va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys = let va_old = va_expand_state va_old in let (va_mods:va_mods_t) = [va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags] in let va_qc = va_qcode_Gctr_blocks128_while0 va_mods va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128_while0 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 214 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" sse_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 217 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 218 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 219 column 46 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 220 column 44 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 224 column 62 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 225 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 226 column 76 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 227 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 228 column 41 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 229 column 56 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 230 column 107 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 231 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM < pow2_32) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 234 column 79 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 236 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" pclmulqdq_enabled /\ label va_range1 "***** POSTCONDITION NOT MET AT line 238 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 239 column 38 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 242 column 57 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 243 column 87 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 244 column 71 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbx va_s0 <= va_get_reg64 rRdx va_s0) /\ va_get_reg64 rR11 va_s0 == va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_reg64 rR10 va_s0 == va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRbx va_s0 /\ va_get_xmm 11 va_s0 == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_s0) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) va_in_in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) va_in_out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_s0 =!= va_get_reg64 rRdx va_s0 ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_in_b) (va_get_reg64 rRbx va_s0) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_s0) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_s0) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_s0 == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ (forall (va_x_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_mem:vale_heap) (va_x_ok:bool) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_rbx:nat64) (va_x_xmm0:quad32) (va_x_xmm11:quad32) (va_x_xmm2:quad32) . let va_sM = va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_ok va_x_ok (va_upd_mem va_x_mem (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl va_s0))))))))) in va_get_ok va_sM /\ sse_enabled /\ (0 <= va_get_reg64 rRbx va_sM /\ va_get_reg64 rRbx va_sM <= va_get_reg64 rRdx va_sM) /\ va_get_reg64 rR11 va_sM == va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_reg64 rR10 va_sM == va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRbx va_sM /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_old) (va_get_reg64 rRbx va_sM) /\ (Vale.X64.Decls.buffers_disjoint128 va_in_in_b va_in_out_b \/ va_in_in_b == va_in_out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRax va_sM) va_in_in_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_sM) (va_get_reg64 rRdi va_sM) va_in_out_b (va_get_reg64 rRdx va_sM) (va_get_mem_layout va_sM) Secret /\ va_get_reg64 rRax va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ va_get_reg64 rRdi va_sM + 16 `op_Multiply` va_get_reg64 rRdx va_sM < pow2_64 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_out_b /\ (va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM ==> Vale.AES.GCTR.partial_seq_agreement va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_in_b) (va_get_reg64 rRbx va_sM) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 va_in_in_b)) /\ va_get_reg64 rRdx va_sM < pow2_32 /\ aes_reqs alg va_in_key va_in_round_keys va_in_keys_b (va_get_reg64 rR8 va_sM) (va_get_mem_heaplet 0 va_sM) (va_get_mem_layout va_sM) /\ pclmulqdq_enabled /\ va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_xmm 10 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 1 0 0 0 /\ Vale.X64.Decls.modifies_buffer128 va_in_out_b (va_get_mem_heaplet 1 va_old) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial_def alg (va_get_reg64 rRbx va_sM) va_in_plain_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b) va_in_key (va_get_xmm 11 va_old) /\ (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) va_in_out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old) va_in_out_b) /\ ~(va_get_reg64 rRbx va_sM =!= va_get_reg64 rRdx va_sM) ==> va_k va_sM (()))) val va_wpProof_Gctr_blocks128_while0 : va_old:va_state -> alg:algorithm -> va_in_in_b:buffer128 -> va_in_key:(seq nat32) -> va_in_keys_b:buffer128 -> va_in_out_b:buffer128 -> va_in_plain_quads:(seq quad32) -> va_in_round_keys:(seq quad32) -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128_while0 (va_code_Gctr_blocks128_while0 alg) va_s0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 2 va_sM (va_update_xmm 11 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_ok va_sM (va_update_mem va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags va_sM va_s0))))))))))); va_lemma_norm_mods ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gctr_blocks128_while0 (va_old:va_state) (alg:algorithm) (va_in_in_b:buffer128) (va_in_key:(seq nat32)) (va_in_keys_b:buffer128) (va_in_out_b:buffer128) (va_in_plain_quads:(seq quad32)) (va_in_round_keys:(seq quad32)) : (va_quickCode unit (va_code_Gctr_blocks128_while0 alg)) = (va_QProc (va_code_Gctr_blocks128_while0 alg) ([va_Mod_xmm 2; va_Mod_xmm 11; va_Mod_xmm 0; va_Mod_reg64 rRbx; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_ok; va_Mod_mem; va_Mod_mem_heaplet 1; va_Mod_flags]) (va_wp_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys) (va_wpProof_Gctr_blocks128_while0 va_old alg va_in_in_b va_in_key va_in_keys_b va_in_out_b va_in_plain_quads va_in_round_keys)) #pop-options //-- //-- Gctr_blocks128 #push-options "--z3rlimit 30" [@ "opaque_to_smt" va_qattr] let va_code_Gctr_blocks128 alg = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 10)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_CCons (va_code_Gctr_blocks128_while0 alg) (va_CNil ())))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gctr_blocks128 alg = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Gctr_blocks128_while0 alg) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gctr_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) : (va_quickCode unit (va_code_Gctr_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 203 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 204 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 10) 1 0 (va_op_reg_opr64_reg64 rRbx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 206 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 207 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRdi)) (fun (va_s:va_state) _ -> let (plain_quads:(seq quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) in_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 211 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_const_opr64 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 212 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128_while0 va_old_s alg in_b key keys_b out_b plain_quads round_keys) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 263 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gctr_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gctr_blocks128 va_mods alg in_b out_b key round_keys keys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gctr_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 155 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 195 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 198 column 90 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_sM) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 199 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 200 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_sM == 0 ==> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gctr_blocks128 alg in_b out_b key round_keys keys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gctr_blocks128 (va_code_Gctr_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) #pop-options //-- //-- Gcm_blocks128 val va_code_Gcm_blocks128 : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks128 alg = (va_Block (va_CCons (va_code_Gctr_blocks128 alg) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_blocks128 : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks128 alg = (va_pbool_and (va_codegen_success_Gctr_blocks128 alg) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks128 (va_mods:va_mods_t) (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 323 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gctr_blocks128 alg in_b out_b key round_keys keys_b) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 329 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b out_b h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_old_s))) (va_QEmpty (()))))) val va_lemma_Gcm_blocks128 : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_blocks128 alg) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks128 va_b0 va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_blocks128 va_mods alg in_b out_b key round_keys keys_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks128 alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 266 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 309 column 53 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 315 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 316 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 319 column 93 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 321 column 127 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (Vale.X64.Decls.buffers_disjoint128 in_b out_b \/ in_b == out_b) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRax va_s0) in_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) out_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ va_get_reg64 rRax va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ l_and (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 out_b) (Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b < pow2_32) /\ va_get_reg64 rRdx va_s0 == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 in_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ va_get_reg64 rRdx va_s0 < pow2_32 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret) /\ (forall (va_x_mem:vale_heap) (va_x_rbx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_rdx:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm11:quad32) (va_x_xmm10:quad32) (va_x_heap1:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_xmm 10 va_x_xmm10 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRbx va_x_rbx (va_upd_mem va_x_mem va_s0))))))))))))))))) in va_get_ok va_sM /\ (Vale.X64.Decls.modifies_buffer128 out_b (va_get_mem_heaplet 1 va_s0) (va_get_mem_heaplet 1 va_sM) /\ Vale.AES.GCTR.gctr_partial alg (va_get_reg64 rRdx va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) in_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) key (va_get_xmm 11 va_s0) /\ va_get_xmm 11 va_sM == Vale.AES.GCTR.inc32lite (va_get_xmm 11 va_s0) (va_get_reg64 rRdx va_s0) /\ (va_get_reg64 rRdx va_s0 == 0 ==> l_and (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b == Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) out_b)) /\ (va_get_reg64 rRdx va_s0 > 0 ==> l_and (va_get_reg64 rRdx va_s0 <= FStar.Seq.Base.length #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) ==> FStar.Seq.Base.length #Vale.X64.Decls.quad32 (FStar.Seq.Base.slice #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b) 0 (va_get_reg64 rRdx va_s0)) > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s0)) (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) out_b)))) ==> va_k va_sM (()))) val va_wpProof_Gcm_blocks128 : alg:algorithm -> in_b:buffer128 -> out_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_blocks128 (va_code_Gcm_blocks128 alg) va_s0 alg in_b out_b key round_keys keys_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 1 va_sM (va_update_xmm 10 va_sM (va_update_xmm 11 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRbx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_blocks128 (alg:algorithm) (in_b:buffer128) (out_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_blocks128 alg)) = (va_QProc (va_code_Gcm_blocks128 alg) ([va_Mod_flags; va_Mod_mem_heaplet 1; va_Mod_xmm 10; va_Mod_xmm 11; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rRdx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRbx; va_Mod_mem]) (va_wp_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE) (va_wpProof_Gcm_blocks128 alg in_b out_b key round_keys keys_b hkeys_b h_LE)) //-- //-- Gcm_auth_bytes val va_code_Gcm_auth_bytes : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_auth_bytes () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 8)) (va_CCons (va_code_Ghash_buffer ()) (va_CNil ())))) val va_codegen_success_Gcm_auth_bytes : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_auth_bytes () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 8)) (va_pbool_and (va_codegen_success_Ghash_buffer ()) (va_ttrue ()))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_auth_bytes (va_mods:va_mods_t) (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 399 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 8)) (fun (va_s:va_state) _ -> let (y_0:quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 401 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_reverse_bytes_quad32_zero ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 402 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_buffer hkeys_b auth_b h_LE y_0) (fun (va_s:va_state) _ -> let (y_auth:quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 404 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (va_QEmpty ((y_0, y_auth)))))))) val va_lemma_Gcm_auth_bytes : va_b0:va_code -> va_s0:va_state -> auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> Ghost (va_state & va_fuel & quad32 & quad32) (requires (va_require_total va_b0 (va_code_Gcm_auth_bytes ()) va_s0 /\ va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051))) (ensures (fun (va_sM, va_fM, y_0, y_auth) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) /\ va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_auth_bytes va_b0 va_s0 auth_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_auth_bytes va_mods auth_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_auth_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let (y_0, y_auth) = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 332 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 389 column 34 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 390 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 391 column 69 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 392 column 45 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let (y_0, y_auth) = va_g in (va_sM, va_fM, y_0, y_auth) [@ va_qattr] let va_wp_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> (quad32 & quad32) -> Type0)) : Type0 = (va_get_ok va_s0 /\ (pclmulqdq_enabled /\ avx_enabled /\ sse_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) auth_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 auth_b == va_get_reg64 rRdx va_s0 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ (forall (va_x_rdx:nat64) (va_x_r11:nat64) (va_x_r10:nat64) (va_x_efl:Vale.X64.Flags.t) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (y_0:quad32) (y_auth:quad32) . let va_sM = va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_flags va_x_efl (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRdx va_x_rdx va_s0)))))))))))) in va_get_ok va_sM /\ (y_0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 /\ (let h_LE = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in y_auth == Vale.AES.GHash.ghash_incremental0 h_LE y_0 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) /\ va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 y_auth)) ==> va_k va_sM ((y_0, y_auth)))) val va_wpProof_Gcm_auth_bytes : auth_b:buffer128 -> hkeys_b:buffer128 -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> (quad32 & quad32) -> Type0) -> Ghost (va_state & va_fuel & (quad32 & quad32)) (requires (va_t_require va_s0 /\ va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, y_0, y_auth) = va_lemma_Gcm_auth_bytes (va_code_Gcm_auth_bytes ()) va_s0 auth_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (y_0, y_auth) in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_auth_bytes (auth_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode (quad32 & quad32) (va_code_Gcm_auth_bytes ())) = (va_QProc (va_code_Gcm_auth_bytes ()) ([va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) (va_wp_Gcm_auth_bytes auth_b hkeys_b h_LE) (va_wpProof_Gcm_auth_bytes auth_b hkeys_b h_LE)) //-- //-- Gcm_make_length_quad [@ "opaque_to_smt" va_qattr] let va_code_Gcm_make_length_quad () = (va_Block (va_CCons (va_code_ZeroXmm (va_op_xmm_xmm 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_make_length_quad () = (va_pbool_and (va_codegen_success_ZeroXmm (va_op_xmm_xmm 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_make_length_quad (va_mods:va_mods_t) : (va_quickCode unit (va_code_Gcm_make_length_quad ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 424 column 12 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_ZeroXmm (va_op_xmm_xmm 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 425 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR11)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 426 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 427 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 1) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 428 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rR13)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 429 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRax) (va_const_opr64 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 430 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRax) 0) (va_QEmpty (())))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_make_length_quad va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Gcm_make_length_quad va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_make_length_quad ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 407 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 418 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR13 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 419 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (8 `op_Multiply` va_get_reg64 rR11 va_s0 < pow2_64) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 421 column 138 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_sM == Vale.Def.Types_s.insert_nat64 (Vale.Def.Types_s.insert_nat64 (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) (8 `op_Multiply` va_get_reg64 rR11 va_s0) 1) (8 `op_Multiply` va_get_reg64 rR13 va_s0) 0))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Gcm_make_length_quad va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_make_length_quad (va_code_Gcm_make_length_quad ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rRax va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rRax; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Compute_pad_to_128_bits val va_code_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_pad_to_128_bits () = (va_Block (va_CCons (va_IfElse (va_cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (va_Block (va_CCons (va_code_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_CNil ()))))))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_CCons (va_code_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_CCons (va_code_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (va_CNil ())))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_pad_to_128_bits : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_pad_to_128_bits () = (va_pbool_and (va_pbool_and (va_codegen_success_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_pbool_and (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_pbool_and (va_codegen_success_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (va_codegen_success_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1)))))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_pad_to_128_bits (va_mods:va_mods_t) : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 446 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 447 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_lt (va_op_cmp_reg64 rR10) (va_const_cmp 8)) (qblock va_mods (fun (va_s:va_state) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 449 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrqImm (va_op_xmm_xmm 0) 0 1 (va_op_reg_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 452 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 453 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> let (va_arg51:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 454 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg51) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 455 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` va_get_reg64 rR10 va_s) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 456 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 457 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 458 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 459 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0) (fun (va_s:va_state) _ -> let (old_lower128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 461 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> let (va_arg50:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s in let (va_arg49:Vale.Def.Types_s.nat64) = old_lower128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 462 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg49 va_arg50) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 463 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == old_lower128 `op_Modulus` Prims.pow2 (va_get_reg64 rR10 va_s `op_Multiply` 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 466 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 468 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 469 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg48:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg47:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 470 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_lower va_arg47 va_arg48) (va_QEmpty (()))))))))))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 472 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 474 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR10)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 475 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 476 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rRcx) (va_const_shift_amt64 3)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg56:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 477 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_shift_power2 va_arg56) (va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 478 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRcx va_s == 8 `op_Multiply` (va_get_reg64 rR10 va_s - 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 479 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 480 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Shl64 (va_op_dst_opr64_reg64 rR11) (va_op_shift_amt64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 481 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Sub64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 1)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 482 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pextrq (va_op_dst_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 1) (fun (va_s:va_state) _ -> let (old_upper128:nat64) = va_get_reg64 rRcx va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 484 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR11)) (fun (va_s:va_state) _ -> va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s - 8 >= 0 /\ va_get_reg64 rR10 va_s - 8 <= 18446744073709551615) (fun _ -> let (va_arg55:Vale.Def.Types_s.nat64) = va_get_reg64 rR10 va_s - 8 in let (va_arg54:Vale.Def.Types_s.nat64) = old_upper128 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 485 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_bytes_and_mod va_arg54 va_arg55) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 489 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pinsrq (va_op_xmm_xmm 0) (va_op_opr64_reg64 rRcx) 1) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 490 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_lo64_properties ()) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 491 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_hi64_properties ()) (let (va_arg53:Prims.int) = va_get_reg64 rR10 va_s in let (va_arg52:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_old_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 492 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM_helpers.pad_to_128_bits_upper va_arg52 va_arg53) (va_QEmpty (())))))))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (()))))) val va_lemma_Compute_pad_to_128_bits : va_b0:va_code -> va_s0:va_state -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_pad_to_128_bits ()) va_s0 /\ va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0))))))) [@"opaque_to_smt"] let va_lemma_Compute_pad_to_128_bits va_b0 va_s0 = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok] in let va_qc = va_qcode_Compute_pad_to_128_bits va_mods in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_pad_to_128_bits ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 434 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 443 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 444 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_pad_to_128_bits (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (sse_enabled /\ (0 < va_get_reg64 rR10 va_s0 /\ va_get_reg64 rR10 va_s0 < 16)) /\ (forall (va_x_xmm0:quad32) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_xmm 0 va_x_xmm0 va_s0))) in va_get_ok va_sM /\ (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_quad32_to_bytes (va_get_xmm 0 va_s0)) 0 (va_get_reg64 rR10 va_s0)) in FStar.Seq.Base.length #Vale.Def.Types_s.nat8 padded_bytes = 16 /\ va_get_xmm 0 va_sM = Vale.Def.Types_s.le_bytes_to_quad32 padded_bytes) ==> va_k va_sM (()))) val va_wpProof_Compute_pad_to_128_bits : va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_pad_to_128_bits va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_pad_to_128_bits va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_pad_to_128_bits (va_code_Compute_pad_to_128_bits ()) va_s0 in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_xmm 0 va_sM (va_update_ok va_sM va_s0)))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_pad_to_128_bits () : (va_quickCode unit (va_code_Compute_pad_to_128_bits ())) = (va_QProc (va_code_Compute_pad_to_128_bits ()) ([va_Mod_flags; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_xmm 0]) va_wp_Compute_pad_to_128_bits va_wpProof_Compute_pad_to_128_bits) //-- //-- Ghash_extra_bytes [@ "opaque_to_smt" va_qattr] let va_code_Ghash_extra_bytes () = (va_Block (va_CCons (va_code_Compute_pad_to_128_bits ()) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Ghash_register ()) (va_CNil ()))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Ghash_extra_bytes () = (va_pbool_and (va_codegen_success_Compute_pad_to_128_bits ()) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_ttrue ())))) [@ "opaque_to_smt" va_qattr] let va_qcode_Ghash_extra_bytes (va_mods:va_mods_t) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (h_LE:quad32) (completed_quads:(seq quad32)) : (va_quickCode unit (va_code_Ghash_extra_bytes ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (final_quad:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 540 column 28 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Compute_pad_to_128_bits ()) (fun (va_s:va_state) _ -> let (final_quad_padded:quad32) = va_get_xmm 0 va_s in let (y_prev:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 544 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 546 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_prev) (fun (va_s:va_state) _ -> let (va_arg29:Prims.nat) = total_bytes in let (va_arg28:Vale.Def.Types_s.quad32) = final_quad_padded in let (va_arg27:Vale.Def.Types_s.quad32) = final_quad in let (va_arg26:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = completed_quads in let (va_arg25:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg24:Vale.Def.Types_s.quad32) = old_hash in let (va_arg23:Vale.Def.Types_s.quad32) = h_LE in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 548 column 51 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_ghash_incremental_bytes_extra_helper_alt va_arg23 va_arg24 y_prev va_arg25 va_arg26 va_arg27 va_arg28 va_arg29) (va_QEmpty (()))))))) [@"opaque_to_smt"] let va_lemma_Ghash_extra_bytes va_b0 va_s0 hkeys_b total_bytes old_hash h_LE completed_quads = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok] in let va_qc = va_qcode_Ghash_extra_bytes va_mods hkeys_b total_bytes old_hash h_LE completed_quads in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Ghash_extra_bytes ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 496 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 532 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (FStar.Seq.Base.create #quad32 1 (va_get_xmm 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 533 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 534 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 535 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 537 column 102 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (total_bytes > 0 ==> l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok]) va_sM va_s0; (va_sM, va_fM) [@"opaque_to_smt"] let va_wpProof_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads va_s0 va_k = let (va_sM, va_f0) = va_lemma_Ghash_extra_bytes (va_code_Ghash_extra_bytes ()) va_s0 hkeys_b total_bytes old_hash h_LE completed_quads in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM va_s0)))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) //-- //-- Gcm_extra_bytes val va_code_Gcm_extra_bytes : alg:algorithm -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_extra_bytes alg = (va_Block (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_AESEncryptBlock alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_CCons (va_code_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CNil ()))))))))) val va_codegen_success_Gcm_extra_bytes : alg:algorithm -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_extra_bytes alg = (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_AESEncryptBlock alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret) (va_pbool_and (va_codegen_success_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Ghash_extra_bytes ()) (va_ttrue ())))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_extra_bytes (va_mods:va_mods_t) (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (len:(va_int_range 1 1)) = 1 in let (snap:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 618 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 11)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 619 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 620 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AESEncryptBlock alg (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 11 va_s)) key round_keys keys_b) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 621 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.AES_s.aes_encrypt_LE_reveal ()) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 623 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_xmm_xmm 4) (va_op_reg_opr64_reg64 rRax) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (va_arg34:Vale.Def.Types_s.quad32) = va_get_xmm 4 va_s in let (va_arg33:Vale.Def.Types_s.quad32) = va_get_xmm 0 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 624 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.TypesNative.lemma_quad32_xor_commutes va_arg33 va_arg34) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 625 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pxor (va_op_xmm_xmm 0) (va_op_xmm_xmm 4)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 626 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 5) (va_op_reg_opr64_reg64 rRax) (va_op_xmm_xmm 0) 0 Secret inout_b 0) (fun (va_s:va_state) _ -> let (hash_input:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 630 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b total_bytes old_hash h_LE completed_quads) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 632 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s) inout_b) (FStar.Seq.Base.create #quad32 1 hash_input)) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 633 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCTR.gctr_partial_reveal ()) (va_QEmpty (())))))))))))))) val va_lemma_Gcm_extra_bytes : va_b0:va_code -> va_s0:va_state -> alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Gcm_extra_bytes alg) va_s0 /\ va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_extra_bytes va_b0 va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Gcm_extra_bytes va_mods alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_extra_bytes alg) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 552 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (len:(va_int_range 1 1)) = 1 in label va_range1 "***** POSTCONDITION NOT MET AT line 603 column 55 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 606 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 609 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 610 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 611 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 612 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 615 column 59 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads)))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (len:(va_int_range 1 1)) = 1 in sse_enabled /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 5 va_s0) (va_get_reg64 rRax va_s0) inout_b len (va_get_mem_layout va_s0) Secret /\ len == Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 inout_b /\ va_get_xmm 9 va_s0 == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051 /\ aes_reqs alg key round_keys keys_b (va_get_reg64 rR8 va_s0) (va_get_mem_heaplet 0 va_s0) (va_get_mem_layout va_s0) /\ pclmulqdq_enabled /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0 - 32) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ va_get_xmm 8 va_s0 == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE old_hash completed_quads) /\ FStar.Seq.Base.length #quad32 completed_quads == total_bytes `op_Division` 16 /\ total_bytes < 16 `op_Multiply` FStar.Seq.Base.length #quad32 completed_quads + 16 /\ va_get_reg64 rR10 va_s0 == total_bytes `op_Modulus` 16 /\ total_bytes `op_Modulus` 16 =!= 0 /\ (0 < total_bytes /\ total_bytes < 16 `op_Multiply` Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes) /\ 16 `op_Multiply` (Vale.AES.GCM_helpers.bytes_to_quad_size total_bytes - 1) < total_bytes) /\ (forall (va_x_mem:vale_heap) (va_x_rcx:nat64) (va_x_r11:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_heap5:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 5 va_x_heap5 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rRcx va_x_rcx (va_upd_mem va_x_mem va_s0))))))))))))) in va_get_ok va_sM /\ (let (len:(va_int_range 1 1)) = 1 in Vale.X64.Decls.modifies_buffer128 inout_b (va_get_mem_heaplet 5 va_s0) (va_get_mem_heaplet 5 va_sM) /\ Vale.AES.GCTR.gctr_partial alg len (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_s0) inout_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) key (va_get_xmm 11 va_s0) /\ (let raw_quads = FStar.Seq.Base.append #quad32 completed_quads (Vale.X64.Decls.s128 (va_get_mem_heaplet 5 va_sM) inout_b) in let input_bytes = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_quads) 0 total_bytes in let padded_bytes = Vale.AES.GCTR_s.pad_to_128_bits input_bytes in let input_quads = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_bytes in l_and (FStar.Seq.Base.length #Vale.Def.Types_s.quad32 input_quads > 0) (Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_sM) == Vale.AES.GHash.ghash_incremental h_LE old_hash input_quads))) ==> va_k va_sM (()))) val va_wpProof_Gcm_extra_bytes : alg:algorithm -> inout_b:buffer128 -> key:(seq nat32) -> round_keys:(seq quad32) -> keys_b:buffer128 -> hkeys_b:buffer128 -> total_bytes:nat -> old_hash:quad32 -> completed_quads:(seq quad32) -> h_LE:quad32 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE va_s0 va_k = let (va_sM, va_f0) = va_lemma_Gcm_extra_bytes (va_code_Gcm_extra_bytes alg) va_s0 alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 5 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRcx va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Gcm_extra_bytes (alg:algorithm) (inout_b:buffer128) (key:(seq nat32)) (round_keys:(seq quad32)) (keys_b:buffer128) (hkeys_b:buffer128) (total_bytes:nat) (old_hash:quad32) (completed_quads:(seq quad32)) (h_LE:quad32) : (va_quickCode unit (va_code_Gcm_extra_bytes alg)) = (va_QProc (va_code_Gcm_extra_bytes alg) ([va_Mod_flags; va_Mod_mem_heaplet 5; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR11; va_Mod_reg64 rRcx; va_Mod_mem]) (va_wp_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE) (va_wpProof_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes old_hash completed_quads h_LE)) //-- //-- Gcm_blocks_auth [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks_auth () = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_CCons (va_code_Gcm_auth_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Ghash_extra_bytes ()) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CNil ()))))))))) [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks_auth () = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (va_pbool_and (va_codegen_success_Gcm_auth_bytes ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Ghash_extra_bytes ())))) (va_ttrue ()))))))) [@ "opaque_to_smt" va_qattr] let va_qcode_Gcm_blocks_auth (va_mods:va_mods_t) (auth_b:buffer128) (abytes_b:buffer128) (hkeys_b:buffer128) (h_LE:quad32) : (va_quickCode ((seq quad32)) (va_code_Gcm_blocks_auth ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 704 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRdx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 705 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_IMul64 (va_op_dst_opr64_reg64 rRcx) (va_const_opr64 16)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 708 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR10)) (fun (va_s:va_state) _ -> let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 717 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_auth_bytes auth_b hkeys_b h_LE) (fun (va_s:va_state) va_g -> let ((y_0:quad32), (y_auth:quad32)) = va_g in let (y_auth_bytes:quad32) = y_auth in let (auth_quad_seq_len:(va_int_range 0 18446744073709551615)) = va_if (va_get_reg64 rRsi va_old_s <= FStar.Seq.Base.length #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b))) (fun _ -> va_get_reg64 rRsi va_old_s) (fun _ -> 0) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 721 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len) (fun _ -> let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 (Vale.AES.GCTR_s.pad_to_128_bits (FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) 0 auth_quad_seq_len)) in let (va_arg54:Vale.Def.Types_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in let (va_arg52:Vale.Def.Types_s.quad32) = y_auth in let (va_arg51:Vale.Def.Types_s.quad32) = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 724 column 42 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.ghash_incremental_bytes_pure_no_extra va_arg51 va_arg52 h_LE va_arg53 va_arg54) (va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 727 column 33 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.le_bytes_to_seq_quad32_empty ()) (let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 728 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Arch.Types.lemma_le_seq_quad32_to_bytes_length va_arg50) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 731 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR15) (va_op_opr64_reg64 rRsi)) (fun (va_s:va_state) _ -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 733 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_gt (va_op_cmp_reg64 rRsi) (va_op_cmp_reg64 rRcx)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 735 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbx) 0 Secret abytes_b 0) (fun (va_s:va_state) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 736 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.Poly1305.Math.lemma_poly_bits64 ()) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 737 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 738 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 739 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR10 va_s == va_get_reg64 rRsi va_old_s `op_Modulus` 16) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 743 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_extra_bytes hkeys_b (va_get_reg64 rRsi va_s) y_0 h_LE (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 744 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (FStar.Seq.Base.equal #Vale.X64.Decls.quad32 (FStar.Seq.Base.create #Vale.X64.Decls.quad32 1 (Vale.X64.Decls.buffer128_read abytes_b 0 (va_get_mem_heaplet 7 va_s))) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) abytes_b)) (let y_auth_bytes = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (raw_auth_quads:(FStar.Seq.Base.seq Vale.X64.Decls.quad32)) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) abytes_b) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 748 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_1906 (s_1907:(FStar.Seq.Base.seq a_1906)) (i_1908:Prims.nat) (j_1909:Prims.nat) -> let (j_1869:Prims.nat) = j_1909 in Prims.b2t (Prims.op_AmpAmp (Prims.op_LessThanOrEqual i_1908 j_1869) (Prims.op_LessThanOrEqual j_1869 (FStar.Seq.Base.length #a_1906 s_1907)))) Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s)) (fun _ -> let (auth_input_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_old_s) in let (padded_auth_bytes:(FStar.Seq.Base.seq Vale.Def.Types_s.nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let (auth_quad_seq:(seq quad32)) = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in va_QEmpty ((auth_quad_seq, y_auth_bytes)))))))))))) (qblock va_mods (fun (va_s:va_state) -> va_QEmpty ((auth_quad_seq, y_auth_bytes))))) (fun (va_s:va_state) va_g -> let ((auth_quad_seq:(seq quad32)), (y_auth_bytes:quad32)) = va_g in va_QEmpty ((auth_quad_seq)))))))))))))) [@"opaque_to_smt"] let va_lemma_Gcm_blocks_auth va_b0 va_s0 auth_b abytes_b hkeys_b h_LE = let (va_mods:va_mods_t) = [va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok] in let va_qc = va_qcode_Gcm_blocks_auth va_mods auth_b abytes_b hkeys_b h_LE in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Gcm_blocks_auth ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let auth_quad_seq = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 636 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (label va_range1 "***** POSTCONDITION NOT MET AT line 683 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rR15 va_sM == va_get_reg64 rRsi va_sM) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 684 column 75 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 9 va_sM == Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 202182159 134810123 67438087 66051) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 689 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (raw_auth_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_s0 > va_get_reg64 rRdx va_s0 `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) abytes_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_sM) auth_b) in label va_range1 "***** POSTCONDITION NOT MET AT line 693 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (auth_input_bytes:(seq nat8)) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads) 0 (va_get_reg64 rRsi va_s0) in label va_range1 "***** POSTCONDITION NOT MET AT line 694 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (let (padded_auth_bytes:(seq nat8)) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in label va_range1 "***** POSTCONDITION NOT MET AT line 695 column 67 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (auth_quad_seq == Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 696 column 95 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 8 va_sM == Vale.Def.Types_s.reverse_bytes_quad32 (Vale.AES.GHash.ghash_incremental0 h_LE (Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0) auth_quad_seq))))))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx; va_Mod_ok]) va_sM va_s0; let auth_quad_seq = va_g in (va_sM, va_fM, auth_quad_seq) [@"opaque_to_smt"] let va_wpProof_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE va_s0 va_k = let (va_sM, va_f0, auth_quad_seq) = va_lemma_Gcm_blocks_auth (va_code_Gcm_blocks_auth ()) va_s0 auth_b abytes_b hkeys_b h_LE in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_flags va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rRdx va_sM (va_update_ok va_sM va_s0)))))))))))))))))); va_lemma_norm_mods ([va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_flags; va_Mod_reg64 rR15; va_Mod_reg64 rRcx; va_Mod_reg64 rR10; va_Mod_reg64 rR11; va_Mod_reg64 rRdx]) va_sM va_s0; let va_g = (auth_quad_seq) in (va_sM, va_f0, va_g) //-- //-- Compute_iv val va_code_Compute_iv : va_dummy:unit -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Compute_iv () = (va_Block (va_CCons (va_IfElse (va_cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (va_Block (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_CCons (va_Block (va_CNil ())) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_CCons (va_code_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_CNil ())))))))) (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret) (va_CNil ()))))))))))))) (va_CNil ()))) val va_codegen_success_Compute_iv : va_dummy:unit -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Compute_iv () = (va_pbool_and (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (va_pbool_and (va_codegen_success_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret))))))))))))))) (va_ttrue ())) [@ "opaque_to_smt" va_qattr] let va_qcode_Compute_iv (va_mods:va_mods_t) (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (qblock va_mods (fun (va_s:va_state) -> let (va_old_s:va_state) = va_s in let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 831 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_qIf va_mods (Cmp_eq (va_op_cmp_reg64 rRsi) (va_const_cmp 12)) (qblock va_mods (fun (va_s:va_state) -> va_QBind va_range1 "***** PRECONDITION NOT MET AT line 832 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rR8) 0 Secret iv_extra_b 0) (fun (va_s:va_state) _ -> let (iv_LE:quad32) = va_get_xmm 0 va_s in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ((fun a_539 (s_540:(FStar.Seq.Base.seq a_539)) (i_541:Prims.nat) -> let (i_515:Prims.nat) = i_541 in Prims.b2t (Prims.op_LessThan i_515 (FStar.Seq.Base.length #a_539 s_540))) Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 834 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_LE == FStar.Seq.Base.index #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s) iv_extra_b) 0) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 835 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_InitPshufbMask (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rRax)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 836 column 15 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Pshufb (va_op_xmm_xmm 0) (va_op_xmm_xmm 1)) (fun (va_s:va_state) _ -> let (iv_BE:quad32) = va_get_xmm 0 va_s in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 838 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (iv_BE == Vale.Def.Types_s.reverse_bytes_quad32 iv_LE) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 839 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_PinsrdImm (va_op_xmm_xmm 0) 1 0 (va_op_reg_opr64_reg64 rRax)) (fun (va_s:va_state) _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 840 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_xmm 0 va_s == Vale.AES.GCM.set_to_one_LE iv_BE) (let (j0:quad32) = va_get_xmm 0 va_s in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 843 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 0) 0 Secret j0_b 0) (fun (va_s:va_state) _ -> let (va_arg48:Vale.Def.Types_s.quad32) = j0 in let (va_arg47:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in let (va_arg46:Vale.Def.Words_s.nat64) = va_get_reg64 rRsi va_s in let (va_arg45:Vale.AES.GCM_s.supported_iv_LE) = iv in let (va_arg44:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg43:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 844 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_easy va_arg43 va_arg44 va_arg45 va_arg46 va_arg47 va_arg48) (va_QEmpty (()))))))))))))) (qblock va_mods (fun (va_s:va_state) -> let (raw_quads:(seq quad32)) = va_if (va_get_reg64 rRsi va_old_s > va_get_reg64 rRdx va_old_s `op_Multiply` 128 `op_Division` 8) (fun _ -> FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b)) (fun _ -> Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b) in let (va_arg57:Prims.nat) = va_get_reg64 rRsi va_old_s in let (va_arg56:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = raw_quads in let (va_arg55:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_old_s) iv_extra_b in let (va_arg54:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_old_s) iv_b in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 851 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_length_simplifier va_arg54 va_arg55 va_arg56 va_arg57) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 854 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRax) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 855 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Add64 (va_op_dst_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 858 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRbx) (va_op_opr64_reg64 rR8)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 859 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth iv_b iv_extra_b hkeys_b h_LE) (fun (va_s:va_state) (auth_quad_seq:(seq quad32)) -> let (y_mid:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 863 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rRax)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 864 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR11) (va_const_opr64 0)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 865 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRsi)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 868 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_make_length_quad ()) (fun (va_s:va_state) _ -> let (length_quad:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 0 va_s) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 871 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Ghash_register hkeys_b h_LE y_mid) (fun (va_s:va_state) _ -> let (y_final:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg53:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg52:Vale.Def.Types_s.quad32) = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 875 column 27 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg52 y_mid y_final va_arg53 length_quad) (let (va_arg51:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let (va_arg50:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32)) = auth_quad_seq in let (va_arg49:Vale.AES.GCM_s.supported_iv_LE) = iv in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 877 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_:unit) -> Vale.AES.GCM.lemma_compute_iv_hard va_arg49 va_arg50 length_quad h_LE va_arg51) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 878 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 7) (va_op_reg_opr64_reg64 rRcx) (va_op_xmm_xmm 8) 0 Secret j0_b 0) (va_QEmpty (()))))))))))))))))) (fun (va_s:va_state) va_g -> va_QEmpty (())))) val va_lemma_Compute_iv : va_b0:va_code -> va_s0:va_state -> iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Compute_iv ()) va_s0 /\ va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) /\ va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0)))))))))))))))))))))))))))))) [@"opaque_to_smt"] let va_lemma_Compute_iv va_b0 va_s0 iv_b iv_extra_b iv j0_b hkeys_b = let (va_mods:va_mods_t) = [va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem] in let va_qc = va_qcode_Compute_iv va_mods iv_b iv_extra_b iv j0_b hkeys_b in let (va_sM, va_fM, va_g) = va_wp_sound_code_norm (va_code_Compute_iv ()) va_qc va_s0 (fun va_s0 va_sM va_g -> let () = va_g in label va_range1 "***** POSTCONDITION NOT MET AT line 759 column 1 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_ok va_sM) /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in label va_range1 "***** POSTCONDITION NOT MET AT line 804 column 66 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 807 column 52 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM)) /\ label va_range1 "***** POSTCONDITION NOT MET AT line 829 column 32 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0)))) in assert_norm (va_qc.mods == va_mods); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_ok; va_Mod_mem]) va_sM va_s0; (va_sM, va_fM) [@ va_qattr] let va_wp_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in sse_enabled /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 1 va_s0) (va_get_reg64 rRdi va_s0) iv_b (va_get_reg64 rRdx va_s0) (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rR8 va_s0) iv_extra_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validDstAddrs128 (va_get_mem_heaplet 7 va_s0) (va_get_reg64 rRcx va_s0) j0_b 1 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.validSrcAddrs128 (va_get_mem_heaplet 0 va_s0) (va_get_reg64 rR9 va_s0) hkeys_b 8 (va_get_mem_layout va_s0) Secret /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_b == va_get_reg64 rRdx va_s0 /\ Vale.X64.Decls.buffer_length #Vale.X64.Memory.vuint128 iv_extra_b == 1 /\ va_get_reg64 rRdi va_s0 + 16 `op_Multiply` va_get_reg64 rRdx va_s0 < pow2_64 /\ va_get_reg64 rR9 va_s0 + 32 < pow2_64 /\ (va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) <= va_get_reg64 rRsi va_s0 /\ va_get_reg64 rRsi va_s0 < va_mul_nat (va_get_reg64 rRdx va_s0) (128 `op_Division` 8) + 128 `op_Division` 8) /\ (0 < 8 `op_Multiply` va_get_reg64 rRsi va_s0 /\ 8 `op_Multiply` va_get_reg64 rRsi va_s0 < pow2_64) /\ (pclmulqdq_enabled /\ avx_enabled) /\ Vale.AES.GHash.hkeys_reqs_priv (Vale.X64.Decls.s128 (va_get_mem_heaplet 0 va_s0) hkeys_b) (Vale.Def.Types_s.reverse_bytes_quad32 h_LE) /\ (let iv_raw_quads = FStar.Seq.Base.append #Vale.X64.Decls.quad32 (Vale.X64.Decls.s128 (va_get_mem_heaplet 1 va_s0) iv_b) (Vale.X64.Decls.s128 (va_get_mem_heaplet 7 va_s0) iv_extra_b) in let (iv_bytes_LE:supported_iv_LE) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 (Vale.Def.Types_s.le_seq_quad32_to_bytes iv_raw_quads) 0 (va_get_reg64 rRsi va_s0) in iv_bytes_LE == iv)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rdx:nat64) (va_x_rcx:nat64) (va_x_rsi:nat64) (va_x_r8:nat64) (va_x_r9:nat64) (va_x_r10:nat64) (va_x_r11:nat64) (va_x_r12:nat64) (va_x_r13:nat64) (va_x_r14:nat64) (va_x_r15:nat64) (va_x_xmm0:quad32) (va_x_xmm1:quad32) (va_x_xmm2:quad32) (va_x_xmm3:quad32) (va_x_xmm4:quad32) (va_x_xmm5:quad32) (va_x_xmm6:quad32) (va_x_xmm7:quad32) (va_x_xmm8:quad32) (va_x_xmm9:quad32) (va_x_xmm11:quad32) (va_x_heap7:vale_heap) (va_x_efl:Vale.X64.Flags.t) . let va_sM = va_upd_flags va_x_efl (va_upd_mem_heaplet 7 va_x_heap7 (va_upd_xmm 11 va_x_xmm11 (va_upd_xmm 9 va_x_xmm9 (va_upd_xmm 8 va_x_xmm8 (va_upd_xmm 7 va_x_xmm7 (va_upd_xmm 6 va_x_xmm6 (va_upd_xmm 5 va_x_xmm5 (va_upd_xmm 4 va_x_xmm4 (va_upd_xmm 3 va_x_xmm3 (va_upd_xmm 2 va_x_xmm2 (va_upd_xmm 1 va_x_xmm1 (va_upd_xmm 0 va_x_xmm0 (va_upd_reg64 rR15 va_x_r15 (va_upd_reg64 rR14 va_x_r14 (va_upd_reg64 rR13 va_x_r13 (va_upd_reg64 rR12 va_x_r12 (va_upd_reg64 rR11 va_x_r11 (va_upd_reg64 rR10 va_x_r10 (va_upd_reg64 rR9 va_x_r9 (va_upd_reg64 rR8 va_x_r8 (va_upd_reg64 rRsi va_x_rsi (va_upd_reg64 rRcx va_x_rcx (va_upd_reg64 rRdx va_x_rdx (va_upd_reg64 rRbx va_x_rbx (va_upd_reg64 rRax va_x_rax (va_upd_mem va_x_mem va_s0)))))))))))))))))))))))))) in va_get_ok va_sM /\ (let (h_LE:Vale.Def.Types_s.quad32) = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_s0)) in Vale.X64.Decls.buffer128_read j0_b 0 (va_get_mem_heaplet 7 va_sM) == Vale.AES.GCM_s.compute_iv_BE h_LE iv /\ Vale.X64.Decls.modifies_buffer128 j0_b (va_get_mem_heaplet 7 va_s0) (va_get_mem_heaplet 7 va_sM) /\ (va_get_reg64 rRsi va_s0 == 12 ==> l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (l_and (va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0) (va_get_reg64 rRdx va_sM == va_get_reg64 rRdx va_s0)) (va_get_reg64 rRcx va_sM == va_get_reg64 rRcx va_s0)) (va_get_reg64 rRsi va_sM == va_get_reg64 rRsi va_s0)) (va_get_reg64 rR8 va_sM == va_get_reg64 rR8 va_s0)) (va_get_reg64 rR9 va_sM == va_get_reg64 rR9 va_s0)) (va_get_reg64 rR10 va_sM == va_get_reg64 rR10 va_s0)) (va_get_reg64 rR11 va_sM == va_get_reg64 rR11 va_s0)) (va_get_reg64 rR12 va_sM == va_get_reg64 rR12 va_s0)) (va_get_reg64 rR13 va_sM == va_get_reg64 rR13 va_s0)) (va_get_reg64 rR14 va_sM == va_get_reg64 rR14 va_s0)) (va_get_reg64 rR15 va_sM == va_get_reg64 rR15 va_s0)) (va_get_xmm 2 va_sM == va_get_xmm 2 va_s0)) (va_get_xmm 3 va_sM == va_get_xmm 3 va_s0)) (va_get_xmm 4 va_sM == va_get_xmm 4 va_s0)) (va_get_xmm 5 va_sM == va_get_xmm 5 va_s0)) (va_get_xmm 6 va_sM == va_get_xmm 6 va_s0)) (va_get_xmm 7 va_sM == va_get_xmm 7 va_s0)) (va_get_xmm 8 va_sM == va_get_xmm 8 va_s0)) (va_get_xmm 9 va_sM == va_get_xmm 9 va_s0)) (va_get_xmm 11 va_sM == va_get_xmm 11 va_s0))) ==> va_k va_sM (()))) val va_wpProof_Compute_iv : iv_b:buffer128 -> iv_extra_b:buffer128 -> iv:supported_iv_LE -> j0_b:buffer128 -> hkeys_b:buffer128 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_s0 va_k ((va_sM, va_f0, va_g)))) [@"opaque_to_smt"] let va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b va_s0 va_k = let (va_sM, va_f0) = va_lemma_Compute_iv (va_code_Compute_iv ()) va_s0 iv_b iv_extra_b iv j0_b hkeys_b in va_lemma_upd_update va_sM; assert (va_state_eq va_sM (va_update_flags va_sM (va_update_mem_heaplet 7 va_sM (va_update_xmm 11 va_sM (va_update_xmm 9 va_sM (va_update_xmm 8 va_sM (va_update_xmm 7 va_sM (va_update_xmm 6 va_sM (va_update_xmm 5 va_sM (va_update_xmm 4 va_sM (va_update_xmm 3 va_sM (va_update_xmm 2 va_sM (va_update_xmm 1 va_sM (va_update_xmm 0 va_sM (va_update_reg64 rR15 va_sM (va_update_reg64 rR14 va_sM (va_update_reg64 rR13 va_sM (va_update_reg64 rR12 va_sM (va_update_reg64 rR11 va_sM (va_update_reg64 rR10 va_sM (va_update_reg64 rR9 va_sM (va_update_reg64 rR8 va_sM (va_update_reg64 rRsi va_sM (va_update_reg64 rRcx va_sM (va_update_reg64 rRdx va_sM (va_update_reg64 rRbx va_sM (va_update_reg64 rRax va_sM (va_update_ok va_sM (va_update_mem va_sM va_s0))))))))))))))))))))))))))))); va_lemma_norm_mods ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) va_sM va_s0; let va_g = () in (va_sM, va_f0, va_g) [@ "opaque_to_smt" va_qattr] let va_quick_Compute_iv (iv_b:buffer128) (iv_extra_b:buffer128) (iv:supported_iv_LE) (j0_b:buffer128) (hkeys_b:buffer128) : (va_quickCode unit (va_code_Compute_iv ())) = (va_QProc (va_code_Compute_iv ()) ([va_Mod_flags; va_Mod_mem_heaplet 7; va_Mod_xmm 11; va_Mod_xmm 9; va_Mod_xmm 8; va_Mod_xmm 7; va_Mod_xmm 6; va_Mod_xmm 5; va_Mod_xmm 4; va_Mod_xmm 3; va_Mod_xmm 2; va_Mod_xmm 1; va_Mod_xmm 0; va_Mod_reg64 rR15; va_Mod_reg64 rR14; va_Mod_reg64 rR13; va_Mod_reg64 rR12; va_Mod_reg64 rR11; va_Mod_reg64 rR10; va_Mod_reg64 rR9; va_Mod_reg64 rR8; va_Mod_reg64 rRsi; va_Mod_reg64 rRcx; va_Mod_reg64 rRdx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b) (va_wpProof_Compute_iv iv_b iv_extra_b iv j0_b hkeys_b)) //-- //-- Gcm_blocks #push-options "--z3rlimit 600" val va_code_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_code [@ "opaque_to_smt" va_qattr] let va_code_Gcm_blocks alg offset = (va_Block (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_CCons (va_code_Gcm_blocks_auth ()) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_CCons (va_code_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_CCons (va_code_Load_one_lsb (va_op_xmm_xmm 10)) (va_CCons (va_code_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_CCons (va_code_AES_GCM_encrypt_6mult alg) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_CCons (va_code_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_CCons (va_code_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_CCons (va_code_Gcm_blocks128 alg) (va_CCons (va_code_Stack_lemma ()) (va_CCons (va_code_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_CCons (va_code_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_CCons (va_IfElse (va_cmp_gt (va_op_cmp_reg64 rR13) (va_op_cmp_reg64 rR14)) (va_Block (va_CCons (va_code_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_CCons (va_code_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_CCons (va_code_Gcm_extra_bytes alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ()))))))) (va_Block (va_CNil ()))) (va_CCons (va_code_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_CCons (va_code_Gcm_make_length_quad ()) (va_CCons (va_code_Ghash_register ()) (va_CCons (va_code_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_CCons (va_code_Gctr_register alg) (va_CCons (va_Block (va_CNil ())) (va_CNil ())))))))))))))))))))))))))))))))))))) val va_codegen_success_Gcm_blocks : alg:algorithm -> offset:int -> Tot va_pbool [@ "opaque_to_smt" va_qattr] let va_codegen_success_Gcm_blocks alg offset = (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_pbool_and (va_codegen_success_Gcm_blocks_auth ()) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public) (va_pbool_and (va_codegen_success_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret) (va_pbool_and (va_codegen_success_Load_one_lsb (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_pbool_and (va_codegen_success_AES_GCM_encrypt_6mult alg) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 40)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 48)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR14) (va_op_opr64_reg64 rRdx)) (va_pbool_and (va_codegen_success_InitPshufbMask (va_op_xmm_xmm 9) (va_op_reg_opr64_reg64 rR12)) (va_pbool_and (va_codegen_success_Pshufb (va_op_xmm_xmm 11) (va_op_xmm_xmm 9)) (va_pbool_and (va_codegen_success_Gcm_blocks128 alg) (va_pbool_and (va_codegen_success_Stack_lemma ()) (va_pbool_and (va_codegen_success_Add64 (va_op_dst_opr64_reg64 rR14) (va_opr_code_Stack (va_op_reg64_reg64 rRsp) (offset + 24) Public)) (va_pbool_and (va_codegen_success_IMul64 (va_op_dst_opr64_reg64 rR14) (va_const_opr64 16)) (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rR13) (va_op_reg_opr64_reg64 rRsp) (offset + 64)) (va_pbool_and (va_pbool_and (va_codegen_success_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 56)) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR10) (va_op_opr64_reg64 rR13)) (va_pbool_and (va_codegen_success_And64 (va_op_dst_opr64_reg64 rR10) (va_const_opr64 15)) (va_codegen_success_Gcm_extra_bytes alg)))) (va_pbool_and (va_codegen_success_Mov64 (va_op_dst_opr64_reg64 rR11) (va_op_opr64_reg64 rR15)) (va_pbool_and (va_codegen_success_Gcm_make_length_quad ()) (va_pbool_and (va_codegen_success_Ghash_register ()) (va_pbool_and (va_codegen_success_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 0) (va_op_reg_opr64_reg64 rRbp) 0 Secret) (va_pbool_and (va_codegen_success_Gctr_register alg) (va_ttrue ()))))))))))))))))))))))))))))))))))
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.fsti.checked", "Vale.X64.Stack.fsti.checked", "Vale.X64.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsVector.fsti.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.InsAes.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.X64.CPU_Features_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Math.Poly2.Bits_s.fsti.checked", "Vale.Lib.Meta.fsti.checked", "Vale.Lib.Basic.fsti.checked", "Vale.Def.Words_s.fsti.checked", "Vale.Def.Words.Seq_s.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Prop_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.TypesNative.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "Vale.AES.X64.GHash.fsti.checked", "Vale.AES.X64.GF128_Mul.fsti.checked", "Vale.AES.X64.GCTR.fsti.checked", "Vale.AES.X64.AESopt2.fsti.checked", "Vale.AES.X64.AESopt.fsti.checked", "Vale.AES.X64.AESGCM.fsti.checked", "Vale.AES.X64.AES.fsti.checked", "Vale.AES.OptPublic.fsti.checked", "Vale.AES.GHash_s.fst.checked", "Vale.AES.GHash.fsti.checked", "Vale.AES.GF128_s.fsti.checked", "Vale.AES.GF128.fsti.checked", "Vale.AES.GCTR_s.fst.checked", "Vale.AES.GCTR.fsti.checked", "Vale.AES.GCM_s.fst.checked", "Vale.AES.GCM_helpers.fsti.checked", "Vale.AES.GCM.fsti.checked", "Vale.AES.AES_s.fst.checked", "Vale.AES.AES_common_s.fst.checked", "prims.fst.checked", "FStar.Seq.Base.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.AES.X64.GCMencryptOpt.fst" }
[ { "abbrev": false, "full_module": "Vale.Lib.Basic", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.OptPublic", "short_module": null }, { "abbrev": false, "full_module": "Vale.Lib.Meta", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt2", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESGCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AESopt", "short_module": null }, { "abbrev": false, "full_module": "Vale.Math.Poly2.Bits_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.CPU_Features_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GF128_Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCodes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.QuickCode", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsAes", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsStack", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsVector", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsMem", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.InsBasic", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Stack_i", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Memory", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GF128_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64.AES", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GHash_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCM", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.GCTR_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.AES_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.HeapImpl", "short_module": null }, { "abbrev": false, "full_module": "Vale.Arch.Types", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Types_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words.Seq_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Words_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Seq", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.Prop_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.AES.X64", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 0, "max_fuel": 1, "max_ifuel": 1, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": true, "smtencoding_l_arith_repr": "native", "smtencoding_nl_arith_repr": "wrapped", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": false, "z3cliopt": [ "smt.arith.nl=false", "smt.QI.EAGER_THRESHOLD=100", "smt.CASE_SPLIT=3" ], "z3refresh": false, "z3rlimit": 600, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
va_mods: Vale.X64.QuickCode.va_mods_t -> alg: Vale.AES.AES_common_s.algorithm -> offset: Prims.int -> auth_b: Vale.X64.Memory.buffer128 -> abytes_b: Vale.X64.Memory.buffer128 -> in128x6_b: Vale.X64.Memory.buffer128 -> out128x6_b: Vale.X64.Memory.buffer128 -> in128_b: Vale.X64.Memory.buffer128 -> out128_b: Vale.X64.Memory.buffer128 -> inout_b: Vale.X64.Memory.buffer128 -> iv_b: Vale.X64.Memory.buffer128 -> scratch_b: Vale.X64.Memory.buffer128 -> key: FStar.Seq.Base.seq Vale.X64.Memory.nat32 -> round_keys: FStar.Seq.Base.seq Vale.X64.Decls.quad32 -> keys_b: Vale.X64.Memory.buffer128 -> hkeys_b: Vale.X64.Memory.buffer128 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks alg offset)
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.QuickCode.va_mods_t", "Vale.AES.AES_common_s.algorithm", "Prims.int", "Vale.X64.Memory.buffer128", "FStar.Seq.Base.seq", "Vale.X64.Memory.nat32", "Vale.X64.Decls.quad32", "Vale.X64.QuickCodes.qblock", "Prims.unit", "Prims.Cons", "Vale.X64.Decls.va_code", "Vale.X64.InsBasic.va_code_Mov64", "Vale.X64.Decls.va_op_dst_opr64_reg64", "Vale.X64.Machine_s.rR13", "Vale.X64.Decls.va_op_opr64_reg64", "Vale.X64.Machine_s.rRcx", "Vale.X64.InsBasic.va_code_AddLea64", "Vale.X64.Machine_s.rR9", "Vale.X64.Decls.va_const_opr64", "Vale.X64.InsStack.va_code_Load64_stack", "Vale.X64.Machine_s.rRbx", "Vale.X64.Decls.va_op_reg_opr64_reg64", "Vale.X64.Machine_s.rRsp", "Prims.op_Addition", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks_auth", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdx", "Vale.X64.InsVector.va_code_Mov128", "Vale.X64.Decls.va_op_xmm_xmm", "Vale.X64.InsVector.va_code_Load128_buffer", "Vale.X64.Decls.va_op_heaplet_mem_heaplet", "Vale.X64.Machine_s.rR8", "Vale.Arch.HeapTypes_s.Public", "Vale.X64.InsVector.va_code_Store128_buffer", "Vale.X64.Machine_s.rRbp", "Vale.Arch.HeapTypes_s.Secret", "Vale.AES.X64.AESopt.va_code_Load_one_lsb", "Vale.X64.InsVector.va_code_VPaddd", "Vale.AES.X64.AESGCM.va_code_AES_GCM_encrypt_6mult", "Vale.X64.Machine_s.rRax", "Vale.X64.Machine_s.rR14", "Vale.X64.InsVector.va_code_InitPshufbMask", "Vale.X64.Machine_s.rR12", "Vale.X64.InsVector.va_code_Pshufb", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks128", "Vale.X64.InsStack.va_code_Stack_lemma", "Vale.X64.InsBasic.va_code_Add64", "Vale.X64.Decls.va_opr_code_Stack", "Vale.X64.Decls.va_op_reg64_reg64", "Vale.X64.InsBasic.va_code_IMul64", "Vale.X64.Machine_s.IfElse", "Vale.X64.Decls.ins", "Vale.X64.Decls.ocmp", "Vale.X64.QuickCodes.cmp_to_ocmp", "Vale.X64.QuickCodes.Cmp_gt", "Vale.X64.Decls.va_op_cmp_reg64", "Vale.X64.QuickCodes.block", "Vale.X64.Machine_s.rR10", "Vale.X64.InsBasic.va_code_And64", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_extra_bytes", "Vale.X64.Machine_s.Block", "Prims.Nil", "Vale.X64.Machine_s.precode", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR15", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_make_length_quad", "Vale.AES.X64.AESopt2.va_code_Ghash_register", "Vale.AES.X64.GCMencryptOpt.va_code_Gctr_register", "Vale.X64.Decls.va_state", "Vale.X64.QuickCodes.va_QSeq", "Vale.X64.QuickCodes.va_range1", "Vale.X64.InsBasic.va_quick_Mov64", "Vale.X64.InsBasic.va_quick_AddLea64", "Vale.X64.InsStack.va_quick_Load64_stack", "Vale.X64.QuickCodes.va_QBind", "Vale.AES.X64.GCMencryptOpt.va_quick_Gcm_blocks_auth", "Vale.X64.InsVector.va_quick_Mov128", "Vale.X64.InsVector.va_quick_Load128_buffer", "Vale.X64.InsVector.va_quick_Store128_buffer", "Vale.AES.X64.AESopt.va_quick_Load_one_lsb", "Vale.X64.InsVector.va_quick_VPaddd", "Vale.AES.X64.AESGCM.va_quick_AES_GCM_encrypt_6mult", "Vale.X64.QuickCodes.va_qPURE", "Prims.pure_post", "Prims.l_and", "Prims.b2t", "Prims.op_Equality", "Vale.Def.Types_s.quad32", "Vale.AES.GHash.ghash_incremental0", "Prims.l_Forall", "Prims.l_imp", "FStar.Seq.Base.op_At_Bar", "Vale.AES.GHash.lemma_ghash_incremental0_append", "Vale.X64.InsVector.va_quick_InitPshufbMask", "Vale.X64.InsVector.va_quick_Pshufb", "Vale.AES.X64.GCMencryptOpt.va_quick_Gcm_blocks128", "Vale.X64.InsStack.va_quick_Stack_lemma", "Vale.X64.InsBasic.va_quick_Add64", "Vale.X64.InsBasic.va_quick_IMul64", "Vale.AES.AES_s.is_aes_key_LE", "Vale.AES.GCTR.gctr_partial", "Vale.AES.GCTR.gctr_partial_opaque_init", "FStar.Pervasives.Native.tuple4", "Vale.X64.QuickCodes.va_qIf", "Prims.l_True", "Vale.Def.Words_s.nat64", "Prims.eq2", "Vale.Def.Types_s.ishr", "Prims.op_Division", "Vale.Def.Types_s.iand", "Prims.op_Modulus", "Prims.op_Multiply", "Prims.op_LessThan", "Vale.Poly1305.Math.lemma_poly_bits64", "Vale.X64.InsBasic.va_quick_And64", "Vale.AES.X64.GCMencryptOpt.va_quick_Gcm_extra_bytes", "Vale.X64.QuickCodes.va_qAssertSquash", "Prims.op_AmpAmp", "Prims.op_LessThanOrEqual", "FStar.Seq.Base.length", "Vale.Def.Types_s.nat8", "Vale.Def.Types_s.le_seq_quad32_to_bytes", "Prims.nat", "Prims.squash", "Vale.X64.QuickCodes.va_QEmpty", "FStar.Pervasives.Native.Mktuple4", "Vale.X64.Decls.s128", "Vale.X64.Decls.va_get_mem_heaplet", "Vale.Def.Types_s.le_bytes_to_seq_quad32", "Vale.Def.Words_s.nat8", "Vale.AES.GCTR_s.pad_to_128_bits", "FStar.Seq.Base.slice", "Vale.X64.QuickCodes.quickCodes", "FStar.Seq.Base.append", "Vale.Def.Types_s.reverse_bytes_quad32", "Vale.X64.Decls.va_get_xmm", "Vale.AES.X64.GCMencryptOpt.va_quick_Gcm_make_length_quad", "Vale.AES.X64.AESopt2.va_quick_Ghash_register", "Vale.AES.X64.GCMencryptOpt.va_quick_Gctr_register", "Vale.Def.Types_s.le_quad32_to_bytes", "FStar.Seq.Base.create", "Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton", "Vale.X64.QuickCodes.va_qAssert", "Vale.AES.GCTR_s.gctr_encrypt_block", "FStar.Seq.Base.equal", "Vale.AES.GCTR_s.inc32", "Vale.AES.GCTR.lemma_gctr_partial_append", "Vale.AES.GHash.ghash_incremental", "Vale.AES.GHash.lemma_hash_append2", "Prims.op_GreaterThan", "Vale.Def.Words_s.Mkfour", "Vale.Def.Words_s.nat32", "Vale.AES.GHash_s.ghash_LE", "Vale.AES.GHash.ghash_incremental_to_ghash", "Vale.AES.GCTR.inc32lite", "Vale.X64.Decls.va_int_at_least", "Vale.AES.GCTR.empty_seq_quad32", "Vale.X64.Decls.buffer128_read", "Vale.Def.Types_s.nat32", "Vale.X64.Stack_i.load_stack64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Decls.va_get_stack", "Vale.X64.State.vale_state", "Vale.X64.QuickCode.va_quickCode", "Vale.AES.X64.GCMencryptOpt.va_code_Gcm_blocks" ]
[]
false
false
false
false
false
let va_qcode_Gcm_blocks (va_mods: va_mods_t) (alg: algorithm) (offset: int) (auth_b abytes_b in128x6_b out128x6_b in128_b out128_b inout_b iv_b scratch_b: buffer128) (key: (seq nat32)) (round_keys: (seq quad32)) (keys_b hkeys_b: buffer128) : (va_quickCode unit (va_code_Gcm_blocks alg offset)) =
(qblock va_mods (fun (va_s: va_state) -> let va_old_s:va_state = va_s in let abytes_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 0) (va_get_stack va_s) in let in128x6_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 8) (va_get_stack va_s) in let out128x6_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 16) (va_get_stack va_s) in let len128x6:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 24) (va_get_stack va_s) in let in128_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 32) (va_get_stack va_s) in let out128_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 40) (va_get_stack va_s) in let len128:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 48) (va_get_stack va_s) in let inout_ptr:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 56) (va_get_stack va_s) in let plain_num_bytes:Vale.X64.Memory.nat64 = Vale.X64.Stack_i.load_stack64 (va_get_reg64 rRsp va_s + offset + 64) (va_get_stack va_s) in let h_LE:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (Vale.X64.Decls.buffer128_read hkeys_b 2 (va_get_mem_heaplet 0 va_old_s)) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1057 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR13) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1058 column 13 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AddLea64 (va_op_dst_opr64_reg64 rR9) (va_op_opr64_reg64 rR9) (va_const_opr64 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1059 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRbx) (va_op_reg_opr64_reg64 rRsp) (offset + 0)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1060 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Gcm_blocks_auth auth_b abytes_b hkeys_b h_LE) (fun (va_s: va_state) (auth_quad_seq: (seq quad32)) -> let y_0:quad32 = Vale.Def.Words_s.Mkfour #Vale.Def.Types_s.nat32 0 0 0 0 in let y_auth_bytes:quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1067 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi) (va_op_reg_opr64_reg64 rRsp) (offset + 8)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1068 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRsi) (va_op_reg_opr64_reg64 rRsp) (offset + 16)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1069 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx) (va_op_reg_opr64_reg64 rRsp) (offset + 24)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1070 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rRcx) (va_op_opr64_reg64 rR13)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1071 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov128 (va_op_xmm_xmm 0) (va_op_xmm_xmm 9)) (fun (va_s: va_state) _ -> let iv_BE:Vale.X64.Decls.quad32 = Vale.X64.Decls.buffer128_read iv_b 0 (va_get_mem_heaplet 2 va_old_s) in let ctr_BE_1:quad32 = iv_BE in let ctr_BE_2:quad32 = Vale.AES.GCTR_s.inc32 iv_BE 1 in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1077 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 2) (va_op_xmm_xmm 1) (va_op_reg_opr64_reg64 rR8) 0 Public iv_b 0) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1079 column 20 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Store128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_reg_opr64_reg64 rRbp) (va_op_xmm_xmm 1) 0 Secret scratch_b 0) (fun (va_s: va_state) _ -> let j0:quad32 = va_get_xmm 1 va_s in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1081 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load_one_lsb (va_op_xmm_xmm 10 )) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1083 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_VPaddd (va_op_xmm_xmm 1) (va_op_xmm_xmm 1) (va_op_xmm_xmm 10)) (va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1085 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_AES_GCM_encrypt_6mult alg h_LE iv_b in128x6_b out128x6_b scratch_b key round_keys keys_b hkeys_b) (fun (va_s: va_state) _ -> let y_cipher128x6:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 (va_get_xmm 8 va_s) in let auth_in:(seq quad32) = auth_quad_seq in let va_arg138:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) = Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b in let va_arg137:(FStar.Seq.Base.seq Vale.Def.Types_s.quad32) = auth_in in let va_arg136:Vale.Def.Types_s.quad32 = y_auth_bytes in let va_arg135:Vale.Def.Types_s.quad32 = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1088 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (fun (_: unit) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg135 va_arg136 y_cipher128x6 va_arg137 va_arg138) (let auth_in = FStar.Seq.Base.append #quad32 auth_in (Vale.X64.Decls.s128 (va_get_mem_heaplet 6 va_s) out128x6_b) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1092 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load128_buffer (va_op_heaplet_mem_heaplet 3) (va_op_xmm_xmm 11) (va_op_reg_opr64_reg64 rRbp) 32 Secret scratch_b 2) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1093 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 (va_op_dst_opr64_reg64 rR8) (va_op_opr64_reg64 rRcx)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1094 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRax) (va_op_reg_opr64_reg64 rRsp) (offset + 32)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1095 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdi ) (va_op_reg_opr64_reg64 rRsp ) (offset + 40)) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1096 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Load64_stack (va_op_dst_opr64_reg64 rRdx ) (va_op_reg_opr64_reg64 rRsp ) (offset + 48 )) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1097 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" (va_quick_Mov64 ( va_op_dst_opr64_reg64 rR14 ) ( va_op_opr64_reg64 rRdx ) ) (va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1098 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_InitPshufbMask ( va_op_xmm_xmm 9 ) ( va_op_reg_opr64_reg64 rR12 ) ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1099 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Pshufb ( va_op_xmm_xmm 11 ) ( va_op_xmm_xmm 9 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1100 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Gcm_blocks128 alg in128_b out128_b key round_keys keys_b hkeys_b h_LE ) ( fun ( va_s: va_state ) _ -> let y_cipher128:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 ( va_get_xmm 8 va_s ) in let va_arg134:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_s ) out128_b in let va_arg133:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = auth_in in let va_arg132:Vale.Def.Types_s.quad32 = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1102 column 36 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash.lemma_ghash_incremental0_append h_LE va_arg132 y_cipher128x6 y_cipher128 va_arg133 va_arg134 ) ( let auth_in = FStar.Seq.Base.append #quad32 auth_in ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_s ) out128_b ) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 22 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Stack_lemma ( va_op_reg64_reg64 rRsp ) ( offset + 24 ) Public ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1106 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Add64 ( va_op_dst_opr64_reg64 rR14 ) ( va_opr_code_Stack ( va_op_reg64_reg64 rRsp ) ( offset + 24 ) Public ) ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1107 column 11 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_IMul64 ( va_op_dst_opr64_reg64 rR14 ) ( va_const_opr64 16 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1108 column 17 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Load64_stack ( va_op_dst_opr64_reg64 rR13 ) ( va_op_reg_opr64_reg64 rRsp ) ( offset + 64 ) ) ( fun ( va_s: va_state ) _ -> let y_inout:Vale.Def.Types_s.quad32 = y_cipher128 in let plain_byte_seq:( seq quad32 ) = empty_seq_quad32 in let cipher_byte_seq:( seq quad32 ) = empty_seq_quad32 in let va_arg131:Vale.Def.Types_s.quad32 = va_get_xmm 11 va_s in let va_arg130:( FStar.Seq.Base.seq Vale.Def.Types_s.nat32 ) = key in let va_arg129:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = cipher_byte_seq in let va_arg128:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = plain_byte_seq in let va_arg127:Vale.AES.AES_common_s.algorithm = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1113 column 29 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GCTR.gctr_partial_opaque_init va_arg127 va_arg128 va_arg129 va_arg130 va_arg131 ) ( let total_bytes:( va_int_at_least 0 ) = ( FStar.Seq.Base.length #quad32 auth_quad_seq ) `op_Multiply` 16 + plain_num_bytes in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1117 column 8 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_qIf va_mods ( Cmp_gt ( va_op_cmp_reg64 rR13 ) ( va_op_cmp_reg64 rR14 ) ) ( qblock va_mods ( fun ( va_s: va_state ) -> va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1119 column 21 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Load64_stack ( va_op_dst_opr64_reg64 rRax ) ( va_op_reg_opr64_reg64 rRsp ) ( offset + 56 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1120 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Mov64 ( va_op_dst_opr64_reg64 rR10 ) ( va_op_opr64_reg64 rR13 ) ) ( fun ( va_s: va_state ) _ -> va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1121 column 26 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.Poly1305.Math.lemma_poly_bits64 () ) ( va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1122 column 14 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_And64 ( va_op_dst_opr64_reg64 rR10 ) ( va_const_opr64 15 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1126 column 24 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Gcm_extra_bytes alg inout_b key round_keys keys_b hkeys_b total_bytes y_0 auth_in h_LE ) ( fun ( va_s: va_state ) _ -> let y_inout = Vale.Def.Types_s.reverse_bytes_quad32 ( va_get_xmm 8 va_s ) in let raw_auth_quads:( FStar.Seq.Base.seq quad32 ) = FStar.Seq.Base.append #quad32 auth_in ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 5 va_s ) inout_b ) in va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1130 column 9 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( ( fun a_1906 ( s_1907: ( FStar.Seq.Base.seq a_1906 ) ) ( i_1908: Prims.nat ) ( j_1909: Prims.nat ) -> let j_1869:Prims.nat = j_1909 in Prims.b2t ( Prims.op_AmpAmp ( Prims.op_LessThanOrEqual i_1908 j_1869 ) ( Prims.op_LessThanOrEqual j_1869 ( FStar.Seq.Base.length #a_1906 s_1907 ) ) ) ) Vale.Def.Types_s.nat8 ( Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads ) 0 total_bytes ) ( fun _ -> let auth_input_bytes:( FStar.Seq.Base.seq Vale.Def.Types_s.nat8 ) = FStar.Seq.Base.slice #Vale.Def.Types_s.nat8 ( Vale.Def.Types_s.le_seq_quad32_to_bytes raw_auth_quads ) 0 total_bytes in let padded_auth_bytes:( FStar.Seq.Base.seq Vale.Def.Types_s.nat8 ) = Vale.AES.GCTR_s.pad_to_128_bits auth_input_bytes in let auth_in = Vale.Def.Types_s.le_bytes_to_seq_quad32 padded_auth_bytes in let plain_byte_seq = Vale.X64.Decls.s128 ( va_get_mem_heaplet 5 va_old_s ) inout_b in let cipher_byte_seq = Vale.X64.Decls.s128 ( va_get_mem_heaplet 5 va_s ) inout_b in va_QEmpty ( ( auth_in, cipher_byte_seq, plain_byte_seq, y_inout ) ) ) ) ) ) ) ) ) ) ( qblock va_mods ( fun ( va_s: va_state ) -> va_QEmpty ( ( auth_in, cipher_byte_seq, plain_byte_seq, y_inout ) ) ) ) ) ( fun ( va_s: va_state ) va_g -> let ( auth_in: ( seq quad32 ) ), ( cipher_byte_seq: ( seq quad32 ) ), ( plain_byte_seq: ( seq quad32 ) ), ( y_inout: Vale.Def.Types_s.quad32 ) = va_g in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1141 column 10 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Mov64 ( va_op_dst_opr64_reg64 rR11 ) ( va_op_opr64_reg64 rR15 ) ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1142 column 25 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Gcm_make_length_quad () ) ( fun ( va_s: va_state ) _ -> let length_quad32:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 ( va_get_xmm 0 va_s ) in va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1145 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Ghash_register hkeys_b h_LE y_inout ) ( fun ( va_s: va_state ) _ -> let y_final:Vale.Def.Types_s.quad32 = Vale.Def.Types_s.reverse_bytes_quad32 ( va_get_xmm 8 va_s ) in va_QSeq va_range1 "***** PRECONDITION NOT MET AT line 1148 column 19 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Load128_buffer ( va_op_heaplet_mem_heaplet 3 ) ( va_op_xmm_xmm 0 ) ( va_op_reg_opr64_reg64 rRbp ) 0 Secret scratch_b 0 ) ( va_QBind va_range1 "***** PRECONDITION NOT MET AT line 1151 column 18 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_quick_Gctr_register alg key round_keys keys_b ) ( fun ( va_s: va_state ) _ -> let va_arg126:Vale.Def.Types_s.quad32 = va_get_xmm 8 va_s in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1154 column 40 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.Arch.Types.le_seq_quad32_to_bytes_of_singleton va_arg126 ) ( va_qAssertSquash va_range1 "***** EXPRESSION PRECONDITIONS NOT MET WITHIN line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( ( fun ( icb_BE_677: Vale.Def.Types_s.quad32 ) ( plain_LE_678: Vale.Def.Types_s.quad32 ) ( alg_679: Vale.AES.AES_common_s.algorithm ) ( key_680: ( FStar.Seq.Base.seq Vale.Def.Types_s.nat32 ) ) ( i_681: Prims.int ) -> Vale.AES.AES_s.is_aes_key_LE alg_679 key_680 ) j0 y_final alg key 0 ) ( fun _ -> va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1155 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( va_get_xmm 8 va_s == Vale.AES.GCTR_s.gctr_encrypt_block j0 y_final alg key 0 ) ( let plain128:( FStar.Seq.Base.seq Vale.X64.Decls.quad32 ) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_old_s ) in128x6_b ) ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_old_s ) in128_b ) in let cipher128:( FStar.Seq.Base.seq Vale.X64.Decls.quad32 ) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_s ) in128x6_b ) ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_s ) in128_b ) in va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1160 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( FStar.Seq.Base.length #quad32 plain_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 ( FStar.Seq.Base.append #Vale.X64.Decls.quad32 plain128 plain_byte_seq ) plain128 ) ( va_qAssert va_range1 "***** PRECONDITION NOT MET AT line 1161 column 5 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( FStar.Seq.Base.length #quad32 cipher_byte_seq == 0 ==> FStar.Seq.Base.equal #Vale.X64.Decls.quad32 ( FStar.Seq.Base.append #Vale.X64.Decls.quad32 cipher128 cipher_byte_seq ) cipher128 ) ( let va_arg125:Vale.Def.Types_s.quad32 = Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 in let va_arg124:Vale.Def.Types_s.quad32 = ctr_BE_2 in let va_arg123:( FStar.Seq.Base.seq Vale.Def.Types_s.nat32 ) = key in let va_arg122:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_s ) out128_b in let va_arg121:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_old_s ) in128_b in let va_arg120:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_s ) out128x6_b in let va_arg119:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_old_s ) in128x6_b in let va_arg118:Prims.nat = len128 in let va_arg117:Prims.nat = len128x6 in let va_arg116:Vale.AES.AES_common_s.algorithm = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1163 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg116 va_arg117 va_arg118 va_arg119 va_arg120 va_arg121 va_arg122 va_arg123 va_arg124 va_arg125 ) ( let va_arg115:Vale.Def.Types_s.quad32 = Vale.AES.GCTR.inc32lite ( Vale.AES.GCTR.inc32lite ctr_BE_2 len128x6 ) len128 in let va_arg114:Vale.Def.Types_s.quad32 = ctr_BE_2 in let va_arg113:( FStar.Seq.Base.seq Vale.Def.Types_s.nat32 ) = key in let va_arg112:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = cipher_byte_seq in let va_arg111:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = plain_byte_seq in let va_arg110:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_s ) out128x6_b ) ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_s ) out128_b ) in let va_arg109:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = FStar.Seq.Base.append #Vale.X64.Decls.quad32 ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 6 va_old_s ) in128x6_b ) ( Vale.X64.Decls.s128 ( va_get_mem_heaplet 1 va_old_s ) in128_b ) in let va_arg108:Prims.nat = FStar.Seq.Base.length #quad32 plain_byte_seq in let va_arg107:Prims.nat = len128x6 + len128 in let va_arg106:Vale.AES.AES_common_s.algorithm = alg in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1169 column 30 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GCTR.lemma_gctr_partial_append va_arg106 va_arg107 va_arg108 va_arg109 va_arg110 va_arg111 va_arg112 va_arg113 va_arg114 va_arg115 ) ( let va_arg105:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = auth_in in let va_arg104:Vale.Def.Types_s.quad32 = y_0 in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1177 column 23 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash.lemma_hash_append2 h_LE va_arg104 y_inout y_final va_arg105 length_quad32 ) ( let auth_in = FStar.Seq.Base.append #quad32 auth_in ( FStar.Seq.Base.create #Vale.Def.Types_s.quad32 1 length_quad32 ) in let va_arg103:( FStar.Seq.Base.seq Vale.Def.Types_s.quad32 ) = auth_in in va_qPURE va_range1 "***** PRECONDITION NOT MET AT line 1179 column 31 of file /home/gebner/fstar_dataset/projects/hacl-star/vale/code/crypto/aes/x64/Vale.AES.X64.GCMencryptOpt.vaf *****" ( fun ( _: unit ) -> Vale.AES.GHash.ghash_incremental_to_ghash h_LE va_arg103 ) ( va_QEmpty ( () ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )) )))))))))) )))))))))))
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.permute
val permute : Type0
let permute = list atom -> list atom
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 134, "start_col": 0, "start_line": 134 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Type0
Prims.Tot
[ "total" ]
[]
[ "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom" ]
[]
false
false
false
true
true
let permute =
list atom -> list atom
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.permute_via_swaps
val permute_via_swaps : p: FStar.Tactics.CanonCommMonoidSimple.Equiv.permute -> Type
let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 63, "end_line": 204, "start_col": 0, "start_line": 202 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss'))
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
p: FStar.Tactics.CanonCommMonoidSimple.Equiv.permute -> Type
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.permute", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_Exists", "FStar.Tactics.CanonCommSwaps.swaps_for", "Prims.eq2", "FStar.Tactics.CanonCommSwaps.apply_swaps", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
false
true
true
let permute_via_swaps (p: permute) =
#a: Type -> am: amap a -> xs: list atom -> Lemma (exists (ss: swaps_for xs). p xs == apply_swaps xs ss)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.sort
val sort:permute
val sort:permute
let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<))
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 70, "end_line": 224, "start_col": 0, "start_line": 224 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.permute
Prims.Tot
[ "total" ]
[]
[ "FStar.List.Tot.Base.sortWith", "Prims.int", "FStar.List.Tot.Base.compare_of_bool", "Prims.op_LessThan" ]
[]
false
false
false
true
false
let sort:permute =
List.Tot.Base.sortWith #int (compare_of_bool ( < ))
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_correct_aux
val sort_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : Lemma (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (sort xs)))
val sort_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : Lemma (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (sort xs)))
let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 76, "end_line": 234, "start_col": 0, "start_line": 232 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in ()
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
eq: FStar.Algebra.CommMonoid.Equiv.equiv a -> m: FStar.Algebra.CommMonoid.Equiv.cm a eq -> am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a -> xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom -> FStar.Pervasives.Lemma (ensures EQ?.eq eq (FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am xs) (FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote eq m am (FStar.Tactics.CanonCommMonoidSimple.Equiv.sort xs)))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "FStar.Algebra.CommMonoid.Equiv.equiv", "FStar.Algebra.CommMonoid.Equiv.cm", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "FStar.Tactics.CanonCommMonoidSimple.Equiv.permute_via_swaps_correct", "FStar.Tactics.CanonCommMonoidSimple.Equiv.sort", "FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_via_swaps", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_Exists", "FStar.Tactics.CanonCommSwaps.swaps_for", "Prims.eq2", "FStar.Tactics.CanonCommSwaps.apply_swaps", "Prims.Nil", "FStar.Pervasives.pattern", "FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq", "FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote" ]
[]
false
false
true
false
false
let sort_correct_aux (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : Lemma (EQ?.eq eq (xsdenote eq m am xs) (xsdenote eq m am (sort xs))) =
permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_correct
val sort_correct:permute_correct sort
val sort_correct:permute_correct sort
let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a)
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 73, "end_line": 236, "start_col": 0, "start_line": 236 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in () let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.permute_correct FStar.Tactics.CanonCommMonoidSimple.Equiv.sort
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.sort_correct_aux", "FStar.Algebra.CommMonoid.Equiv.equiv", "FStar.Algebra.CommMonoid.Equiv.cm", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "Prims.unit", "Prims.l_True", "Prims.squash", "FStar.Algebra.CommMonoid.Equiv.__proj__EQ__item__eq", "FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote", "FStar.Tactics.CanonCommMonoidSimple.Equiv.sort", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
false
false
false
true
false
let sort_correct:permute_correct sort =
(fun #a -> sort_correct_aux #a)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.canon
val canon : e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp -> Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom
let canon (e:exp) = sort (flatten e)
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 36, "end_line": 240, "start_col": 0, "start_line": 240 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in () let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a) (***** Canonicalization tactics *)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp -> Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.exp", "FStar.Tactics.CanonCommMonoidSimple.Equiv.sort", "FStar.Tactics.CanonCommMonoidSimple.Equiv.flatten", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom" ]
[]
false
false
false
true
false
let canon (e: exp) =
sort (flatten e)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.exp_to_string
val exp_to_string (e: exp) : string
val exp_to_string (e: exp) : string
let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")"
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 51, "end_line": 53, "start_col": 0, "start_line": 48 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
e: FStar.Tactics.CanonCommMonoidSimple.Equiv.exp -> Prims.string
Prims.Tot
[ "total" ]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.exp", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "Prims.op_Hat", "Prims.string_of_int", "FStar.Tactics.CanonCommMonoidSimple.Equiv.exp_to_string", "Prims.string" ]
[ "recursion" ]
false
false
false
true
false
let rec exp_to_string (e: exp) : string =
match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")"
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.where
val where : x: FStar.Tactics.NamedView.term -> xs: Prims.list FStar.Tactics.NamedView.term -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option Prims.nat)
let where = where_aux 0
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 23, "end_line": 275, "start_col": 0, "start_line": 275 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in () let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a) (***** Canonicalization tactics *) let canon (e:exp) = sort (flatten e) let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) = flatten_correct eq m am e; sort_correct eq m am (flatten e); EQ?.transitivity eq (mdenote eq m am e) (xsdenote eq m am (flatten e)) (xsdenote eq m am (sort (flatten e))) let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) : Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) (ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) = canon_correct eq m am e1; canon_correct eq m am e2; EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e2)) (mdenote eq m am e2) let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) (_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) : squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) = monoid_reflect_orig #a eq m am e1 e2 (* Finds the position of first occurrence of x in xs. This is now specialized to terms and their funny term_eq. *) let rec where_aux (n:nat) (x:term) (xs:list term) : Tac (option nat) = match xs with | [] -> None
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.Tactics.NamedView.term -> xs: Prims.list FStar.Tactics.NamedView.term -> FStar.Tactics.Effect.Tac (FStar.Pervasives.Native.option Prims.nat)
FStar.Tactics.Effect.Tac
[]
[]
[ "FStar.Tactics.CanonCommMonoidSimple.Equiv.where_aux" ]
[]
false
true
false
false
false
let where =
where_aux 0
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.repeat_cong_right_identity
val repeat_cong_right_identity (eq m: term) : Tac unit
val repeat_cong_right_identity (eq m: term) : Tac unit
let rec repeat_cong_right_identity (eq: term) (m: term) : Tac unit = or_else (fun _ -> apply_lemma (`right_identity)) (fun _ -> apply_lemma (`CM?.congruence (`#m)); split (); apply_lemma (`EQ?.reflexivity (`#eq)); repeat_cong_right_identity eq m )
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 21, "end_line": 314, "start_col": 0, "start_line": 308 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in () let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a) (***** Canonicalization tactics *) let canon (e:exp) = sort (flatten e) let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) = flatten_correct eq m am e; sort_correct eq m am (flatten e); EQ?.transitivity eq (mdenote eq m am e) (xsdenote eq m am (flatten e)) (xsdenote eq m am (sort (flatten e))) let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) : Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) (ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) = canon_correct eq m am e1; canon_correct eq m am e2; EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e2)) (mdenote eq m am e2) let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) (_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) : squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) = monoid_reflect_orig #a eq m am e1 e2 (* Finds the position of first occurrence of x in xs. This is now specialized to terms and their funny term_eq. *) let rec where_aux (n:nat) (x:term) (xs:list term) : Tac (option nat) = match xs with | [] -> None | x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs' let where = where_aux 0 let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) = match where t ts with | Some v -> (Atom v, ts, am) | None -> let vfresh = length ts in let t = norm_term [iota; zeta] t in (Atom vfresh, ts @ [t], update vfresh t am) // This expects that mult, unit, and t have already been normalized let rec reification_aux (ts:list term) (am:amap term) (mult unit t : term) : Tac (exp * list term * amap term) = let hd, tl = collect_app t in match inspect hd, tl with | Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] -> if term_eq (pack (Tv_FVar fv)) mult then (let (e1, ts, am) = reification_aux ts am mult unit t1 in let (e2, ts, am) = reification_aux ts am mult unit t2 in (Mult e1 e2, ts, am)) else fatom t ts am | _, _ -> if term_eq t unit then (Unit, ts, am) else fatom t ts am let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) : Tac (exp * list term * amap term) = let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in let t = norm_term [iota; zeta] t in reification_aux ts am mult unit t
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
eq: FStar.Tactics.NamedView.term -> m: FStar.Tactics.NamedView.term -> FStar.Tactics.Effect.Tac Prims.unit
FStar.Tactics.Effect.Tac
[]
[]
[ "FStar.Tactics.NamedView.term", "FStar.Tactics.V2.Derived.or_else", "Prims.unit", "FStar.Tactics.V2.Derived.apply_lemma", "FStar.Tactics.CanonCommMonoidSimple.Equiv.repeat_cong_right_identity", "FStar.Tactics.V2.Logic.split" ]
[ "recursion" ]
false
true
false
false
false
let rec repeat_cong_right_identity (eq m: term) : Tac unit =
or_else (fun _ -> apply_lemma (`right_identity)) (fun _ -> apply_lemma (`CM?.congruence (`#m)); split (); apply_lemma (`EQ?.reflexivity (`#eq)); repeat_cong_right_identity eq m)
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.reification
val reification (eq m: term) (ts: list term) (am: amap term) (t: term) : Tac (exp * list term * amap term)
val reification (eq m: term) (ts: list term) (am: amap term) (t: term) : Tac (exp * list term * amap term)
let reification (eq: term) (m: term) (ts:list term) (am:amap term) (t:term) : Tac (exp * list term * amap term) = let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in let t = norm_term [iota; zeta] t in reification_aux ts am mult unit t
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 35, "end_line": 306, "start_col": 0, "start_line": 301 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2) let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs') (***** Flattening expressions to lists of atoms *) let rec flatten (e:exp) : list atom = match e with | Unit -> [] | Atom x -> [x] | Mult e1 e2 -> flatten e1 @ flatten e2 let rec flatten_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs1 xs2:list atom) : Lemma (xsdenote eq m am (xs1 @ xs2) `EQ?.eq eq` CM?.mult m (xsdenote eq m am xs1) (xsdenote eq m am xs2)) = match xs1 with | [] -> CM?.identity m (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.unit m) (xsdenote eq m am xs2)) (xsdenote eq m am xs2) | [x] -> ( if (Nil? xs2) then (right_identity eq m (select x am); EQ?.symmetry eq (CM?.mult m (select x am) (CM?.unit m)) (select x am)) else EQ?.reflexivity eq (CM?.mult m (xsdenote eq m am [x]) (xsdenote eq m am xs2))) | x::xs1' -> flatten_correct_aux eq m am xs1' xs2; EQ?.reflexivity eq (select x am); CM?.congruence m (select x am) (xsdenote eq m am (xs1' @ xs2)) (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2)); CM?.associativity m (select x am) (xsdenote eq m am xs1') (xsdenote eq m am xs2); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))); EQ?.transitivity eq (CM?.mult m (select x am) (xsdenote eq m am (xs1' @ xs2))) (CM?.mult m (select x am) (CM?.mult m (xsdenote eq m am xs1') (xsdenote eq m am xs2))) (CM?.mult m (CM?.mult m (select x am) (xsdenote eq m am xs1')) (xsdenote eq m am xs2)) let rec flatten_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (flatten e)) = match e with | Unit -> EQ?.reflexivity eq (CM?.unit m) | Atom x -> EQ?.reflexivity eq (select x am) | Mult e1 e2 -> flatten_correct_aux eq m am (flatten e1) (flatten e2); EQ?.symmetry eq (xsdenote eq m am (flatten e1 @ flatten e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))); flatten_correct eq m am e1; flatten_correct eq m am e2; CM?.congruence m (mdenote eq m am e1) (mdenote eq m am e2) (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2)); EQ?.transitivity eq (CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)) (CM?.mult m (xsdenote eq m am (flatten e1)) (xsdenote eq m am (flatten e2))) (xsdenote eq m am (flatten e1 @ flatten e2)) (***** Permuting the lists of atoms by swapping adjacent elements *) let permute = list atom -> list atom // high-level correctness criterion for permutations let permute_correct (p:permute) = #a:Type -> eq:equiv a -> m:cm a eq -> am:amap a -> xs:list atom -> Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) // sufficient condition: // permutation has to be expressible as swaps of adjacent list elements // In the general case, an arbitrary permutation can be done via swaps. // (see FStar.Tactics.CanonCommSwaps for a proof) let rec apply_swap_aux_correct (#a:Type) (n:nat) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs + n)) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap_aux n xs s))) (decreases xs) = match xs with | [] -> EQ?.reflexivity eq (CM?.unit m) | [x] -> EQ?.reflexivity eq (select x am) | [x1;x2] -> if n = (s <: nat) then CM?.commutativity m (select x1 am) (select x2 am) else EQ?.reflexivity eq (xsdenote eq m am [x1;x2]) | x1 :: x2 :: xs' -> if n = (s <: nat) then ( CM?.associativity m (select x1 am) (select x2 am) (xsdenote eq m am xs'); EQ?.symmetry eq (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))); CM?.commutativity m (select x1 am) (select x2 am); EQ?.reflexivity eq (xsdenote eq m am xs'); CM?.congruence m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs') (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs'); CM?.associativity m (select x2 am) (select x1 am) (xsdenote eq m am xs'); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x1 am) (select x2 am)) (xsdenote eq m am xs')) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')); EQ?.transitivity eq (CM?.mult m (select x1 am) (CM?.mult m (select x2 am) (xsdenote eq m am xs'))) (CM?.mult m (CM?.mult m (select x2 am) (select x1 am)) (xsdenote eq m am xs')) (CM?.mult m (select x2 am) (CM?.mult m (select x1 am) (xsdenote eq m am xs')))) else ( apply_swap_aux_correct (n+1) eq m am (x2 :: xs') s; EQ?.reflexivity eq (select x1 am); CM?.congruence m (select x1 am) (xsdenote eq m am (x2 :: xs')) (select x1 am) (xsdenote eq m am (apply_swap_aux (n+1) (x2 :: xs') s))) let apply_swap_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (s:swap (length xs)) : Lemma (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swap xs s))) (decreases xs) = apply_swap_aux_correct 0 eq m am xs s let rec apply_swaps_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) (ss:list (swap (length xs))) : Lemma (requires True) (ensures (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (apply_swaps xs ss))) (decreases ss) = match ss with | [] -> EQ?.reflexivity eq (xsdenote eq m am xs) | s::ss' -> apply_swap_correct eq m am xs s; apply_swaps_correct eq m am (apply_swap xs s) ss'; EQ?.transitivity eq (xsdenote eq m am xs) (xsdenote eq m am (apply_swap xs s)) (xsdenote eq m am (apply_swaps (apply_swap xs s) ss')) let permute_via_swaps (p:permute) = (#a:Type) -> (am:amap a) -> xs:list atom -> Lemma (exists (ss:swaps_for xs). p xs == apply_swaps xs ss) let permute_via_swaps_correct_aux (p:permute) (pvs:permute_via_swaps p) (#a:Type) (eq:equiv a)(m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) = pvs am xs; assert(exists (ss:swaps_for xs). p xs == apply_swaps xs ss); exists_elim (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (p xs)) (() <: squash (exists (ss:swaps_for xs). p xs == apply_swaps xs ss)) (fun ss -> apply_swaps_correct eq m am xs ss) let permute_via_swaps_correct (p:permute) (pvs:permute_via_swaps p) : permute_correct p = fun #a -> permute_via_swaps_correct_aux p pvs #a (***** Sorting atoms is a correct permutation (since it can be done by swaps) *) // Here we sort the variable numbers let sort : permute = List.Tot.Base.sortWith #int (compare_of_bool (<)) let sort_via_swaps (#a:Type) (am:amap a) (xs:list atom) : Lemma (exists (ss:swaps_for xs). sort xs == apply_swaps xs ss) = List.Tot.Properties.sortWith_permutation #int (compare_of_bool (<)) xs; let ss = equal_counts_implies_swaps xs (sort xs) in () let sort_correct_aux (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : Lemma (xsdenote eq m am xs `EQ?.eq eq` xsdenote eq m am (sort xs)) = permute_via_swaps_correct sort (fun #a am -> sort_via_swaps am) eq m am xs let sort_correct : permute_correct sort = (fun #a -> sort_correct_aux #a) (***** Canonicalization tactics *) let canon (e:exp) = sort (flatten e) let canon_correct (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : Lemma (mdenote eq m am e `EQ?.eq eq` xsdenote eq m am (canon e)) = flatten_correct eq m am e; sort_correct eq m am (flatten e); EQ?.transitivity eq (mdenote eq m am e) (xsdenote eq m am (flatten e)) (xsdenote eq m am (sort (flatten e))) let monoid_reflect_orig (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) : Lemma (requires (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) (ensures (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2)) = canon_correct eq m am e1; canon_correct eq m am e2; EQ?.symmetry eq (mdenote eq m am e2) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e1)) (xsdenote eq m am (canon e2)); EQ?.transitivity eq (mdenote eq m am e1) (xsdenote eq m am (canon e2)) (mdenote eq m am e2) let monoid_reflect (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (e1 e2:exp) (_ : squash (xsdenote eq m am (canon e1) `EQ?.eq eq` xsdenote eq m am (canon e2))) : squash (mdenote eq m am e1 `EQ?.eq eq` mdenote eq m am e2) = monoid_reflect_orig #a eq m am e1 e2 (* Finds the position of first occurrence of x in xs. This is now specialized to terms and their funny term_eq. *) let rec where_aux (n:nat) (x:term) (xs:list term) : Tac (option nat) = match xs with | [] -> None | x'::xs' -> if term_eq x x' then Some n else where_aux (n+1) x xs' let where = where_aux 0 let fatom (t:term) (ts:list term) (am:amap term) : Tac (exp * list term * amap term) = match where t ts with | Some v -> (Atom v, ts, am) | None -> let vfresh = length ts in let t = norm_term [iota; zeta] t in (Atom vfresh, ts @ [t], update vfresh t am) // This expects that mult, unit, and t have already been normalized let rec reification_aux (ts:list term) (am:amap term) (mult unit t : term) : Tac (exp * list term * amap term) = let hd, tl = collect_app t in match inspect hd, tl with | Tv_FVar fv, [(t1, Q_Explicit) ; (t2, Q_Explicit)] -> if term_eq (pack (Tv_FVar fv)) mult then (let (e1, ts, am) = reification_aux ts am mult unit t1 in let (e2, ts, am) = reification_aux ts am mult unit t2 in (Mult e1 e2, ts, am)) else fatom t ts am | _, _ -> if term_eq t unit then (Unit, ts, am) else fatom t ts am
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
eq: FStar.Tactics.NamedView.term -> m: FStar.Tactics.NamedView.term -> ts: Prims.list FStar.Tactics.NamedView.term -> am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term -> t: FStar.Tactics.NamedView.term -> FStar.Tactics.Effect.Tac ((FStar.Tactics.CanonCommMonoidSimple.Equiv.exp * Prims.list FStar.Tactics.NamedView.term) * FStar.Tactics.CanonCommMonoidSimple.Equiv.amap FStar.Tactics.NamedView.term)
FStar.Tactics.Effect.Tac
[]
[]
[ "FStar.Tactics.NamedView.term", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "FStar.Tactics.CanonCommMonoidSimple.Equiv.reification_aux", "FStar.Pervasives.Native.tuple3", "FStar.Tactics.CanonCommMonoidSimple.Equiv.exp", "FStar.Tactics.V2.Derived.norm_term", "Prims.Cons", "FStar.Pervasives.norm_step", "FStar.Pervasives.iota", "FStar.Pervasives.zeta", "Prims.Nil", "FStar.Pervasives.delta" ]
[]
false
true
false
false
false
let reification (eq m: term) (ts: list term) (am: amap term) (t: term) : Tac (exp * list term * amap term) =
let mult = norm_term [iota; zeta; delta] (`CM?.mult (`#m)) in let unit = norm_term [iota; zeta; delta] (`CM?.unit (`#m)) in let t = norm_term [iota; zeta] t in reification_aux ts am mult unit t
false
FStar.Tactics.CanonCommMonoidSimple.Equiv.fst
FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote
val xsdenote (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : a
val xsdenote (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : a
let rec xsdenote (#a:Type) (eq:equiv a) (m:cm a eq) (am:amap a) (xs:list atom) : a = match xs with | [] -> CM?.unit m | [x] -> select x am | x::xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
{ "file_name": "ulib/FStar.Tactics.CanonCommMonoidSimple.Equiv.fst", "git_rev": "10183ea187da8e8c426b799df6c825e24c0767d3", "git_url": "https://github.com/FStarLang/FStar.git", "project_name": "FStar" }
{ "end_col": 61, "end_line": 80, "start_col": 0, "start_line": 76 }
(* Copyright 2008-2018 Microsoft Research Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *) module FStar.Tactics.CanonCommMonoidSimple.Equiv open FStar.Algebra.CommMonoid.Equiv open FStar.List open FStar.Classical open FStar.Tactics.CanonCommSwaps open FStar.Tactics.V2 let term_eq = FStar.Tactics.term_eq_old (* A simple expression canonizer for commutative monoids (working up to some given equivalence relation as opposed to just propositional equality). For a canonizer with more features see FStar.Tactics.CanonCommMonoid.fst. Based on FStar.Tactics.CanonCommMonoidSimple.fst *) (* Only dump when debugging is on *) //let dump m = if debugging () then dump m (***** Expression syntax *) // GM: ugh, we had `nat`, but then we get bitten by lack // of subtyping over datatypes when we typecheck the amap term // we generate (see convert_am). let atom : eqtype = int type exp : Type = | Unit : exp | Mult : exp -> exp -> exp | Atom : atom -> exp let rec exp_to_string (e:exp) : string = match e with | Unit -> "Unit" | Atom x -> "Atom " ^ string_of_int (x <: atom) | Mult e1 e2 -> "Mult (" ^ exp_to_string e1 ^ ") (" ^ exp_to_string e2 ^ ")" (***** Expression denotation *) // Use a map that stores for each atom // (1) its denotation that should be treated abstractly (type a) and // (2) user-specified extra information depending on its term (type b) let amap (a:Type) = list (atom * a) * a let const (#a:Type) (xa:a) : amap a = ([], xa) let select (#a:Type) (x:atom) (am:amap a) : Tot a = match assoc #atom #a x (fst am) with | Some a -> a | _ -> snd am let update (#a:Type) (x:atom) (xa:a) (am:amap a) : amap a = (x, xa)::fst am, snd am let rec mdenote (#a:Type u#aa) (eq:equiv a) (m:cm a eq) (am:amap a) (e:exp) : a = match e with | Unit -> CM?.unit m | Atom x -> select x am | Mult e1 e2 -> CM?.mult m (mdenote eq m am e1) (mdenote eq m am e2)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "FStar.Tactics.V2.fst.checked", "FStar.Tactics.CanonCommSwaps.fst.checked", "FStar.Tactics.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.Properties.fst.checked", "FStar.List.Tot.Base.fst.checked", "FStar.List.Tot.fst.checked", "FStar.List.fst.checked", "FStar.Classical.fsti.checked", "FStar.Algebra.CommMonoid.Equiv.fst.checked" ], "interface_file": false, "source_file": "FStar.Tactics.CanonCommMonoidSimple.Equiv.fst" }
[ { "abbrev": false, "full_module": "FStar.Tactics.V2", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommSwaps", "short_module": null }, { "abbrev": false, "full_module": "FStar.Classical", "short_module": null }, { "abbrev": false, "full_module": "FStar.List", "short_module": null }, { "abbrev": false, "full_module": "FStar.Algebra.CommMonoid.Equiv", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Tactics.CanonCommMonoidSimple", "short_module": null }, { "abbrev": false, "full_module": "FStar.Pervasives", "short_module": null }, { "abbrev": false, "full_module": "Prims", "short_module": null }, { "abbrev": false, "full_module": "FStar", "short_module": null } ]
{ "detail_errors": false, "detail_hint_replay": false, "initial_fuel": 2, "initial_ifuel": 1, "max_fuel": 8, "max_ifuel": 2, "no_plugins": false, "no_smt": false, "no_tactics": false, "quake_hi": 1, "quake_keep": false, "quake_lo": 1, "retry": false, "reuse_hint_for": null, "smtencoding_elim_box": false, "smtencoding_l_arith_repr": "boxwrap", "smtencoding_nl_arith_repr": "boxwrap", "smtencoding_valid_elim": false, "smtencoding_valid_intro": true, "tcnorm": true, "trivial_pre_for_unannotated_effectful_fns": true, "z3cliopt": [], "z3refresh": false, "z3rlimit": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
eq: FStar.Algebra.CommMonoid.Equiv.equiv a -> m: FStar.Algebra.CommMonoid.Equiv.cm a eq -> am: FStar.Tactics.CanonCommMonoidSimple.Equiv.amap a -> xs: Prims.list FStar.Tactics.CanonCommMonoidSimple.Equiv.atom -> a
Prims.Tot
[ "total" ]
[]
[ "FStar.Algebra.CommMonoid.Equiv.equiv", "FStar.Algebra.CommMonoid.Equiv.cm", "FStar.Tactics.CanonCommMonoidSimple.Equiv.amap", "Prims.list", "FStar.Tactics.CanonCommMonoidSimple.Equiv.atom", "FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__unit", "FStar.Tactics.CanonCommMonoidSimple.Equiv.select", "FStar.Algebra.CommMonoid.Equiv.__proj__CM__item__mult", "FStar.Tactics.CanonCommMonoidSimple.Equiv.xsdenote" ]
[ "recursion" ]
false
false
false
false
false
let rec xsdenote (#a: Type) (eq: equiv a) (m: cm a eq) (am: amap a) (xs: list atom) : a =
match xs with | [] -> CM?.unit m | [x] -> select x am | x :: xs' -> CM?.mult m (select x am) (xsdenote eq m am xs')
false