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type ' s select = ' s ActionOut . select
type ' s branch = ' s ActionInp . branch
type ( ' v , ' s ) out = ( ' v , ' s ) ActionOut . out
type ( ' v , ' s ) inp = ( ' v , ' s ) ActionInp . inp
let close ( ) = ( )
type chan_table = ( string * string , DynChan . chan ) Hashtbl . t
module UnicastEnv : EnvSpec with type entry = chan_table = struct type entry = chan_table type env_entry += E of entry let name = " unicast " let make_default ( ) = Hashtbl . create 42 let update _param _tbl = ( ) end
module Lookup = RegisterEnvSpec ( UnicastEnv )
let lookup ( t : chan_table ) ( key : string * string ) = match Hashtbl . find_opt t key with | Some ch -> ch | None -> let ch = DynChan . make ( ) in Hashtbl . add t key ch ; ch
let ( --> ) ra rb lab g env = let g = g env in let ch = lookup ( Lookup . lookup env ) ( ra . role_label . method_name , rb . role_label . method_name ) in let key = DynChan . new_name ch in let b = seq_get rb . role_index g in let g = seq_put rb . role_index g ( ActionInp . make_branch ra . role_label lab . var key b ) in let a = seq_get ra . role_index g in let g = seq_put ra . role_index g ( ActionOut . make_select rb . role_label lab . obj key a ) in g
let ( ==> ) ra rb g env = let g = g env in let ch = lookup ( Lookup . lookup env ) ( ra . role_label . method_name , rb . role_label . method_name ) in let key = DynChan . new_name ch in let b = seq_get rb . role_index g in let g = seq_put rb . role_index g ( ActionInp . make_inp ra . role_label key b ) in let a = seq_get ra . role_index g in let g = seq_put ra . role_index g ( ActionOut . make_out rb . role_label key a ) in g
let secondary_mask = 0xff lsl 7 let tertiary_mask = 0x7f let primary ce = ( ce land primary_mask ) primary_mask lsr 15 let secondary ce = ( ce land secondary_mask ) secondary_mask lsr 7 let tertiary ce = ce land tertiary_mask let compose_ce w1 w2 w3 = ( w1 lsl 15 ) 15 lor ( w2 lsl 7 ) 7 lor w3 let complete_ignorable = 0 type ce_tbl = ( UChar . t list * ce_type list ) list list UCharTbl . t type variable_option = [ ` Blanked | ` Non_ignorable | ` Shifted | ` Shift_Trimmed ] type col_info = { variable_top : int ; variable_option : variable_option ; french_accent : bool ; hiraganaQ : bool ; hiraganaQ_weight : int ; tbl : ce_tbl } ce_tbl let default_col_data = lazy ( read_data " allkeys " : col_info ) col_info type localedata = { col_info : col_info option } option let read_localedata c = let data : localedata = input_value c in match data . col_info with None -> raise Not_found | Some x -> x let col_tbl = Hashtbl . create 0 let get_col_info ? locale ( ) = match locale with None -> Lazy . force default_col_data | Some s -> try let b = Hashtbl . find col_tbl s in match Weak . get b 0 with None -> Hashtbl . remove col_tbl s ; raise Not_found | Some x -> x with Not_found -> try let info = Locale . read Config . localedir " mar " read_localedata s in let b = Weak . create 1 in Weak . set b 0 ( Some info ) info ; Hashtbl . add col_tbl s b ; info with Not_found -> Lazy . force default_col_data let ce tbl u = UCharTbl . get tbl u end
module Logs = ( val Logs . ( src_log @@ Src . create __MODULE__ ) )
module Stack : sig type elt = | Var of Variable . t * Type . t | Expr of Type . t * Type . t type t val empty : t val pop : t -> ( elt * t ) option val push_quasi_solved : t -> Variable . t -> Type . t -> t val push_array2 : Type . t array -> Type . t array -> t -> t val [ @ warning " - 32 " ] pp : t Fmt . t [ @@ ocaml . toplevel_printer ] type elt = | Var of Variable . t * Type . t | Expr of Type . t * Type . t type t = elt list let empty : t = [ ] let [ @ inline ] pop = function | [ ] -> None | h :: t -> Some ( h , t ) let push l t1 t2 = Expr ( t1 , t2 ) :: l let push_quasi_solved l v t = Var ( v , t ) :: l let push_array2 a1 a2 stack = CCArray . fold2 push stack a1 a2 let pp_elt ppf = function | Var ( v , t ) -> Fmt . pf ppf " % a = % a " Variable . pp v Type . pp t | Expr ( t1 , t2 ) -> Fmt . pf ppf " % a = % a " Type . pp t1 Type . pp t2 let pp = Fmt . ( vbox ( list ~ sep : cut pp_elt ) ) end
type return = | Done | FailUnif of Type . t * Type . t | FailedOccurCheck of Env . t
let ( let ) * x1 f = match x1 with Done -> f ( ) | _ -> x1
let occur_check env : return = debug ( fun m -> m " [ @< v > Occur check in , @% a ] " @ Env . pp env ) ; let nb_predecessors = Variable . HMap . create 17 in let successors = Variable . HMap . create 17 in let fill_nb_predecessors x ty = let aux y = Variable . HMap . incr nb_predecessors y ; Variable . HMap . add_list successors x y ; in begin if not @@ Variable . HMap . mem nb_predecessors x then Variable . HMap . add nb_predecessors x 0 end ; Type . iter_vars ty |> Iter . iter aux in Variable . Map . iter fill_nb_predecessors ( Env . vars env ) ; let nb_representatives = Variable . HMap . length nb_predecessors in let vars_without_predecessors = Variable . HMap . fold ( fun x count_preds l -> if count_preds = 0 then x :: l else l ) nb_predecessors [ ] in debug ( fun m -> m " Predecessors : % a " ( Variable . HMap . pp Variable . pp Fmt . int ) nb_predecessors ) ; debug ( fun m -> m " Vars without predecessor : % a " ( Fmt . Dump . list Variable . pp ) vars_without_predecessors ) ; let rec loop n vars_without_predecessors = match vars_without_predecessors with | _ when n = nb_representatives -> Done | [ ] -> FailedOccurCheck env | x :: q -> let aux l v = Variable . HMap . decr nb_predecessors v ; let n = Variable . HMap . get_or ~ default : 0 nb_predecessors v in if n = 0 then v :: l else l in let succs_x = Variable . HMap . get_or ~ default [ ] : successors x in let q = List . fold_left aux q succs_x in loop ( n + 1 ) q in loop 0 vars_without_predecessors
let rec process_stack env ( stack : Stack . t ) : return = match Stack . pop stack with | Some ( Expr ( t1 , t2 ) , stack ) -> insert_rec env stack t1 t2 | Some ( Var ( v , t ) , stack ) -> insert_var env stack v t | None -> Done match t1 , t2 with | _ when t1 == t2 -> process_stack env stack | Type . Constr ( p1 , args1 ) , Type . Constr ( p2 , args2 ) when LongIdent . compare p1 p2 = 0 -> let stack = Stack . push_array2 args1 args2 stack in process_stack env stack | Type . Arrow ( arg1 , ret1 ) , Type . Arrow ( arg2 , ret2 ) -> let stack , arg1 = variable_abstraction_all env stack arg1 in let stack , arg2 = variable_abstraction_all env stack arg2 in Env . push_arrow env ( ArrowTerm . make arg1 ret1 ) ( ArrowTerm . make arg2 ret2 ) ; process_stack env stack | Tuple s , Tuple t -> let stack , pure_s = variable_abstraction_all env stack s in let stack , pure_t = variable_abstraction_all env stack t in Env . push_tuple env pure_s pure_t ; process_stack env stack | Var v , t | t , Var v -> insert_var env stack v t | Constr _ , Constr _ | ( Constr _ | Tuple _ | Arrow _ | Other _ | FrozenVar _ ) , ( Constr _ | Tuple _ | Arrow _ | Other _ | FrozenVar _ ) -> FailUnif ( t1 , t2 ) let r = ref stack in let f x = let stack , x = variable_abstraction env ! r x in r := stack ; x in ! r , Array . map f @@ Type . NSet . as_array a match t with | Type . Tuple ts -> let stack , all_vars = variable_abstraction_all env stack ts in let var = Env . gen env in Env . push_tuple env [ | Pure . var var ] | all_vars ; stack , Pure . var var | Var i -> stack , Pure . var i | Constr ( p , [ ] ) || -> stack , Pure . constant p | Arrow _ | Constr ( _ , _ ) | Other _ | FrozenVar _ -> let var = Env . gen env in let stack = Stack . push_quasi_solved stack var t in stack , Pure . var var match s with | Type . Constr ( _ , [ ] ) || | Type . Tuple _ | Type . Constr _ | Type . Arrow _ | Type . Other _ | Type . FrozenVar _ -> quasi_solved env stack x s | Type . Var y -> non_proper env stack x y match Env . representative env x with | V x -> let * ( ) = attach env x s in process_stack env stack | E ( _ , ( Type . Tuple _ as t ) ) -> insert_rec env stack t s | E ( _ , t ) -> if Measure . make NodeCount t < Measure . make NodeCount s then insert_rec env stack t s else insert_rec env stack s t match Env . representative env x , Env . representative env y with | V x ' , V y ' when Variable . equal x ' y ' -> process_stack env stack | V x ' , ( E ( y ' , _ ) | V y ' ) | E ( y ' , _ ) , V x ' -> let * ( ) = attach env x ' ( Type . var ( Env . tyenv env ) y ' ) in process_stack env stack | E ( x ' , s ) , E ( y ' , t ) -> if Measure . make NodeCount s < Measure . make NodeCount t then begin let * ( ) = attach env y ' ( Type . var ( Env . tyenv env ) x ' ) in insert_rec env stack s t end else begin let * ( ) = attach env x ' ( Type . var ( Env . tyenv env ) y ' ) in insert_rec env stack t s end Env . add env v t ; occur_check env
let insert env t u : return = insert_rec env Stack . empty t u
let insert_var env x ty : return = insert_var env Stack . empty x ty
let insert_tuple_solution env sol = let exception Bail of return in try let f ( k , v ) = match insert_var env k ( ACTerm . as_tuple ( Env . tyenv env ) v ) with | Done -> ( ) | r -> raise ( Bail r ) in sol f ; Done with | Bail r -> r
let rec solve_tuple_problems env0 = let rec pop_all_tuples acc env = match Env . pop_tuple env with | None -> acc | Some pb -> pop_all_tuples ( pb :: acc ) env in AC . solve env0 @@ pop_all_tuples [ ] env0 |> Iter . flat_map ( try_with_solution env0 insert_tuple_solution ) let potentials = [ ( fun env ( ) -> Env . push_tuple env left . args right . args ; insert env left . ret right . ret ) ; ( fun env ( ) -> let var_arg_left = Env . gen env and var_ret_left = Env . gen env in Env . push_tuple env ( ACTerm . add left . args ( Pure . var var_arg_left ) ) right . args ; let * ( ) = insert env left . ret ( Type . arrow ( Env . tyenv env ) ( Type . var ( Env . tyenv env ) var_arg_left ) ( Type . var ( Env . tyenv env ) var_ret_left ) ) in insert_var env var_ret_left right . ret ) ; ( fun env ( ) -> let var_arg_right = Env . gen env and var_ret_right = Env . gen env in Env . push_tuple env left . args ( ACTerm . add right . args ( Pure . var var_arg_right ) ) ; let * ( ) = insert env right . ret ( Type . arrow ( Env . tyenv env ) ( Type . var ( Env . tyenv env ) var_arg_right ) ( Type . var ( Env . tyenv env ) var_ret_right ) ) in insert_var env var_ret_right left . ret ) ; ( fun env ( ) -> let var_arg_left = Env . gen env and var_ret_left = Env . gen env in let var_arg_right = Env . gen env and var_ret_right = Env . gen env in Env . push_tuple env ( ACTerm . add left . args ( Pure . var var_arg_left ) ) right . args ; Env . push_tuple env left . args ( ACTerm . add left . args ( Pure . var var_arg_right ) ) ; let * ( ) = insert env left . ret ( Type . arrow ( Env . tyenv env ) ( Type . var ( Env . tyenv env ) var_arg_left ) ( Type . var ( Env . tyenv env ) var_ret_left ) ) in let * ( ) = insert env right . ret ( Type . arrow ( Env . tyenv env ) ( Type . var ( Env . tyenv env ) var_arg_right ) ( Type . var ( Env . tyenv env ) var_ret_right ) ) in insert env ( Type . var ( Env . tyenv env ) var_ret_left ) ( Type . var ( Env . tyenv env ) var_ret_right ) ) ; ] in potentials |> Iter . of_list |> Iter . flat_map ( fun f -> try_with_solution env0 f ( ) ) : type a . _ -> ( Env . t -> a -> return ) -> a -> _ = fun env f sol k -> let env = Env . copy env in match f env sol with | Done -> solve_loop env k | FailUnif ( t1 , t2 ) -> debug ( fun m -> m " [ @< v > Conflict between ; :@< 1 2 [ >@% a ] @@ and ; @< 1 2 [ >@% a ] ] . . " @@@@ Type . pp t1 Type . pp t2 ) | FailedOccurCheck env -> debug ( fun m -> m " [ @< v > Failed occur check in env ; @% a " Env . pp env ) match Env . is_solved env with | Some map -> debug ( fun m -> m " [ @< v2 > Solved env , :@% a ] . " @@ Env . pp env ) ; k map | None -> debug ( fun m -> m " [ @< v2 > New env , :@% a ] . " @@ Env . pp env ) ; begin match Env . pop_arrow env with | Some pb -> solve_arrow_problem env pb k | None -> solve_tuple_problems env k end
let unifiers ( tyenv : Type . Env . t ) t1 t2 : Subst . t Iter . t = let orig_vars = Variable . Set . ( union ( of_iter @@ Type . iter_vars t1 ) ( of_iter @@ Type . iter_vars t2 ) ) in let env0 = Env . make ~ tyenv ~ orig_vars in debug ( fun m -> m { [ |@< v > Unify :@ " % a " @ " % a " ] } @| Type . pp t1 Type . pp t2 ) ; match insert env0 t1 t2 with | Done -> debug ( fun m -> m " env0 : , @% a " Env . pp env0 ) ; solve_loop env0 | FailUnif _ | FailedOccurCheck _ -> Iter . empty
let unify ( env : Type . Env . t ) t1 t2 = Iter . min ~ lt : Subst . lt @@ unifiers env t1 t2
let unifiable ( env : Type . Env . t ) t1 t2 = not @@ Iter . is_empty @@ unifiers env t1 t2
type ord = | Uncomparable | Smaller | Bigger | Equal
let compare env t1 t2 = let b1 = unifiable env ( Type . freeze_variables env t1 ) t2 and b2 = unifiable env t1 ( Type . freeze_variables env t2 ) in match b1 , b2 with | true , true -> Equal | false , false -> Uncomparable | true , false -> Smaller | false , true -> Bigger
module type Monad = sig type ' a m val return : ' a -> ' a m val bind : ' a m -> ( ' a -> ' b m ) -> ' b m end
module type Extend = sig type ' a m val fmap : ( ' a -> ' b ) -> ' a m -> ' b m end
module Extend ( M : Monad ) : Extend with type ' a m := ' a M . m = struct open M let fmap f m = bind m ( fun a -> return ( f a ) ) end
module Option = struct type ' a t = ' a option module Monad = struct type ' a m = ' a t let return x = Some x let bind m f = match m with | None -> None | Some a -> f a end include Monad include Extend ( Monad ) end
module type Monad2 = sig type ( ' a , ' x ) m val return : ' a -> ( ' a , ' x ) m val bind : ( ' a , ' x ) m -> ( ' a -> ( ' b , ' x ) m ) -> ( ' b , ' x ) m end
module Extend2 ( M : Monad2 ) : sig open M val fmap : ( ' a -> ' b ) -> ( ' a , ' x ) m -> ( ' b , ' x ) m include M let fmap f m = bind m ( fun a -> return ( f a ) ) end
module Result = struct type ( ' a , ' err ) t = Ok of ' a | Error of ' err module Monad = struct type ( ' a , ' err ) m = ( ' a , ' err ) t let return x = Ok x let bind m f = match m with | Error e -> Error e | Ok a -> f a end include Monad include Extend2 ( Monad ) end
module Option ' = struct type ' a t = ' a option module Monad = struct type ( ' a , _ ) m = ' a t let return x = Some x let bind m f = match m with | None -> None | Some a -> f a end include Monad include ( Extend2 ( Monad ) : Extend with type ' a m := ' a t ) end
module Make ( D : Debugger . S_base ) = struct include D module Value = struct type t = | Exists_on_target of Obj . t | Synthetic_ptr of Synthetic_ptr . t let create_exists_on_target obj = Exists_on_target obj let create_synthetic_ptr ptr = Synthetic_ptr ptr let is_block t = match t with | Exists_on_target obj -> Obj . is_block obj | Synthetic_ptr _ -> true let is_int t = not ( is_block t ) let is_null t = match t with | Exists_on_target obj -> Obj . is_null obj | Synthetic_ptr _ -> false let tag_exn t = match t with | Exists_on_target obj -> Obj . tag_exn obj | Synthetic_ptr ptr -> Synthetic_ptr . tag ptr let size_exn t = match t with | Exists_on_target obj -> Obj . size_exn obj | Synthetic_ptr ptr -> Synthetic_ptr . size ptr let field_exn t index = match t with | Exists_on_target obj -> Some ( Exists_on_target ( Obj . field_exn obj index ) ) | Synthetic_ptr ptr -> match Synthetic_ptr . field_exn ptr index with | Ok ptr -> Some ( Synthetic_ptr ptr ) | Non_synthetic obj -> Some ( Exists_on_target obj ) | Unavailable -> None let field_as_addr_exn t index = match t with | Exists_on_target obj -> Obj . field_as_addr_exn obj index | Synthetic_ptr _ptr -> D . zero_target_addr let address_of_field_exn t index = match t with | Exists_on_target obj -> Some ( Obj . address_of_field obj index ) | Synthetic_ptr _ -> None let c_string_field_exn t index = match t with | Exists_on_target obj -> Obj . c_string_field_exn obj index | Synthetic_ptr ptr -> Synthetic_ptr . c_string_field_exn ptr index let float_field_exn t index = match t with | Exists_on_target obj -> Obj . float_field_exn obj index | Synthetic_ptr ptr -> Synthetic_ptr . float_field_exn ptr index let int t = match t with | Exists_on_target obj -> Some ( Obj . int obj ) | Synthetic_ptr _ -> None let string t = match t with | Exists_on_target obj -> Obj . string obj | Synthetic_ptr ptr -> Synthetic_ptr . string ptr let raw t = match t with | Exists_on_target obj -> Some ( Obj . raw obj ) | Synthetic_ptr _ptr -> None include Identifiable . Make ( struct type nonrec t = t let print ppf t = match t with | Exists_on_target obj -> Obj . print ppf obj | Synthetic_ptr ptr -> Synthetic_ptr . print ppf ptr let output _ _ = failwith " Not yet implemented " let compare t1 t2 = match t1 , t2 with | Exists_on_target obj1 , Exists_on_target obj2 -> Obj . compare obj1 obj2 | Synthetic_ptr ptr1 , Synthetic_ptr ptr2 -> Synthetic_ptr . compare ptr1 ptr2 | Exists_on_target _ , Synthetic_ptr _ -> - 1 | Synthetic_ptr _ , Exists_on_target _ -> 1 let equal t1 t2 = ( compare t1 t2 = 0 ) let hash t = match t with | Exists_on_target obj -> Hashtbl . hash ( 0 , Obj . hash obj ) | Synthetic_ptr ptr -> Hashtbl . hash ( 1 , Synthetic_ptr . hash ptr ) end ) end end
module type STRUCTURE = sig type ' a structure val map : ( ' a -> ' b ) -> ' a structure -> ' b structure val iter : ( ' a -> unit ) -> ' a structure -> unit exception Iter2 val iter2 : ( ' a -> ' b -> unit ) -> ' a structure -> ' b structure -> unit end
module Make ( S : STRUCTURE ) = struct
type ' a structure = ' a S . structure
type variable = descriptor UnionFind . point id : int ; structure : variable structure option ; mutable mark : Mark . t ; }
let id v = ( UnionFind . get v ) . id
let structure v = ( UnionFind . get v ) . structure
let fresh = let c = ref 0 in fun structure -> let id = Misc . postincrement c in let mark = Mark . none in UnionFind . fresh { id ; structure ; mark }
let occurs_check x y = let black = Mark . fresh ( ) in let rec visit z = let desc = UnionFind . get z in if not ( Mark . same desc . mark black ) then begin desc . mark <- black ; if UnionFind . equivalent x z then raise ( Occurs ( x , y ) ) else Option . iter ( S . iter visit ) desc . structure end in visit y
let rec unify ( v1 : variable ) ( v2 : variable ) : unit = if not ( UnionFind . equivalent v1 v2 ) then begin let desc1 = UnionFind . get v1 and desc2 = UnionFind . get v2 in let desc = match desc1 . structure , desc2 . structure with | None , None -> desc1 | None , Some _ -> occurs_check v1 v2 ; desc2 | Some _ , None -> occurs_check v2 v1 ; desc1 | Some s1 , Some s2 -> S . iter2 unify s1 s2 ; { desc1 with structure = Some s1 } in UnionFind . union v1 v2 ; UnionFind . set v1 desc end
let unify v1 v2 = try unify v1 v2 with S . Iter2 -> raise ( Unify ( v1 , v2 ) )
type term = | TVar of int | TNode of term structure
let rec decode ( v : variable ) : term = match structure v with | None -> TVar ( id v ) | Some t -> TNode ( S . map decode t ) end
module Trusted : sig type ' a t val empty : ' a t val unsafe_create_uninitialized : len : int -> ' a t val create_obj_array : len : int -> ' a t val create : len : int -> ' a -> ' a t val singleton : ' a -> ' a t val get : ' a t -> int -> ' a val set : ' a t -> int -> ' a -> unit val swap : _ t -> int -> int -> unit val unsafe_get : ' a t -> int -> ' a val unsafe_set : ' a t -> int -> ' a -> unit val unsafe_set_omit_phys_equal_check : ' a t -> int -> ' a -> unit val unsafe_set_int : ' a t -> int -> int -> unit val unsafe_set_int_assuming_currently_int : ' a t -> int -> int -> unit val unsafe_set_assuming_currently_int : ' a t -> int -> ' a -> unit val unsafe_set_with_caml_modify : ' a t -> int -> ' a -> unit val set_with_caml_modify : ' a t -> int -> ' a -> unit val length : ' a t -> int val unsafe_blit : ( ' a t , ' a t ) Blit . blit val copy : ' a t -> ' a t val unsafe_clear_if_pointer : _ t -> int -> unit type ' a t = Obj_array . t let empty = Obj_array . empty let unsafe_create_uninitialized ~ len = Obj_array . create_zero ~ len let create_obj_array ~ len = Obj_array . create_zero ~ len let create ~ len x = Obj_array . create ~ len ( Caml . Obj . repr x ) let singleton x = Obj_array . singleton ( Caml . Obj . repr x ) let swap t i j = Obj_array . swap t i j let get arr i = Caml . Obj . obj ( Obj_array . get arr i ) let set arr i x = Obj_array . set arr i ( Caml . Obj . repr x ) let unsafe_get arr i = Caml . Obj . obj ( Obj_array . unsafe_get arr i ) let unsafe_set arr i x = Obj_array . unsafe_set arr i ( Caml . Obj . repr x ) let unsafe_set_int arr i x = Obj_array . unsafe_set_int arr i x let unsafe_set_int_assuming_currently_int arr i x = Obj_array . unsafe_set_int_assuming_currently_int arr i x ; ; let unsafe_set_assuming_currently_int arr i x = Obj_array . unsafe_set_assuming_currently_int arr i ( Caml . Obj . repr x ) ; ; let length = Obj_array . length let unsafe_blit = Obj_array . unsafe_blit let copy = Obj_array . copy let unsafe_set_omit_phys_equal_check t i x = Obj_array . unsafe_set_omit_phys_equal_check t i ( Caml . Obj . repr x ) ; ; let unsafe_set_with_caml_modify t i x = Obj_array . unsafe_set_with_caml_modify t i ( Caml . Obj . repr x ) ; ; let set_with_caml_modify t i x = Obj_array . set_with_caml_modify t i ( Caml . Obj . repr x ) let unsafe_clear_if_pointer = Obj_array . unsafe_clear_if_pointer end
let invariant t = assert ( Caml . Obj . tag ( Caml . Obj . repr t ) <> Caml . Obj . double_array_tag )
let init l ~ f = if l < 0 then invalid_arg " Uniform_array . init " else ( let res = unsafe_create_uninitialized ~ len : l in for i = 0 to l - 1 do unsafe_set res i ( f i ) done ; res ) ; ;
let of_array arr = init ~ f ( : Array . unsafe_get arr ) ( Array . length arr )
let map a ~ f = init ~ f ( : fun i -> f ( unsafe_get a i ) ) ( length a )
let mapi a ~ f = init ~ f ( : fun i -> f i ( unsafe_get a i ) ) ( length a )
let iter a ~ f = for i = 0 to length a - 1 do f ( unsafe_get a i ) done ; ;
let iteri a ~ f = for i = 0 to length a - 1 do f i ( unsafe_get a i ) done ; ;
let foldi a ~ init ~ f = let acc = ref init in for i = 0 to length a - 1 do acc := f i ! acc ( unsafe_get a i ) done ; ! acc ; ;
let to_list t = List . init ~ f ( : get t ) ( length t )
let of_list l = let len = List . length l in let res = unsafe_create_uninitialized ~ len in List . iteri l ~ f ( : fun i x -> set res i x ) ; res ; ;
let to_array t = Array . init ( length t ) ~ f ( : fun i -> unsafe_get t i )
let exists t ~ f = let rec loop t ~ f i = if i < 0 then false else f ( unsafe_get t i ) || loop t ~ f ( i - 1 ) in loop t ~ f ( length t - 1 ) ; ;
let for_all t ~ f = let rec loop t ~ f i = if i < 0 then true else f ( unsafe_get t i ) && loop t ~ f ( i - 1 ) in loop t ~ f ( length t - 1 ) ; ;
let map2_exn t1 t2 ~ f = let len = length t1 in if length t2 <> len then invalid_arg " Array . map2_exn " ; init len ~ f ( : fun i -> f ( unsafe_get t1 i ) ( unsafe_get t2 i ) ) ; ;
let t_sexp_grammar ( type elt ) ( grammar : elt Sexplib0 . Sexp_grammar . t ) : elt t Sexplib0 . Sexp_grammar . t = Sexplib0 . Sexp_grammar . coerce ( Array . t_sexp_grammar grammar ) ; ; include Sexpable . Of_sexpable1 ( Array ) ( struct type nonrec ' a t = ' a t let to_sexpable = to_array let of_sexpable = of_array end ) type nonrec ' a t = ' a t let length = length let create_like ~ len t = if len = 0 then empty else ( assert ( length t > 0 ) ; create ~ len ( get t 0 ) ) ; ; let unsafe_blit = unsafe_blit end )
let fold t ~ init ~ f = let r = ref init in for i = 0 to length t - 1 do r := f ! r ( unsafe_get t i ) done ; ! r ; ;
let min_elt t ~ compare = Container . min_elt ~ fold t ~ compare
let max_elt t ~ compare = Container . max_elt ~ fold t ~ compare
let compare compare_elt a b = if phys_equal a b then 0 else ( let len_a = length a in let len_b = length b in let ret = compare len_a len_b in if ret <> 0 then ret else ( let rec loop i = if i = len_a then 0 else ( let l = unsafe_get a i and r = unsafe_get b i in let res = compare_elt l r in if res <> 0 then res else loop ( i + 1 ) ) in loop 0 ) ) ; ;
type ( ' a , ' b ) ' b term = | Term of ' a * ( ' a , ' b ) ' b term list | Var of ' b
let print_term ( t ( : string , string ) string term ) term = print_string ^$ string_of_sexp ^$ sexp_of_term sexp_of_string sexp_of_string t
type ( ' a , ' b ) ' b delta = ( ' b * ( ' a , ' b ) ' b term ) term list
let rec robOccursCheck ( x : ' a ) ' a ( ts : ( ' b , ' a ) ' a term list ) list ( delta : ( ' b , ' a ) ' a delta ) delta = match ts with | [ ] -> true | h :: t -> ( match h with && robOccursCheck x t delta
let subst_r ( x ( : ' a , ' b ) ' bterm ) ' bterm ( delta ( : ' a , ' b ) ' b delta ) delta : ( ' a , ' b ) ' bterm = let cur = ref x in ( try while true do match ! cur with done with Not_found -> ( ) ) ; ! cur
let rec subst ( x , s ) s t = match t with | Var x ' -> if x = x ' then s else t | Term ( f , ls ) ls -> Term ( Termf , List . map ( subst ( x , s ) s ) s ls )
let rob ( sts : ( ( ' a , ' b ) ' b term * ( ' a , ' b ) ' b term ) term list ) list : ( ' a , ' b ) ' b delta option = let rec aux sts acc : ( ' a , ' b ) ' b delta = ( match sts with | [ ] -> acc | ( ox , oy ) oy :: t -> ( match x , y with try let res = aux sts [ ] in Some res with Not_found -> None
let term , term_eoi = MGram . Entry . mk " term " , MGram . Entry . mk " term_eoi "
let pair = MGram . Entry . mk " pair "
let _ = begin MGram . Entry . clear term ; MGram . Entry . clear term_eoi ; MGram . Entry . clear pair ; EXTEND MGram GLOBAL : term term_eoi pair ; term_eoi : [ [ t = term ; EOI -> t ] ] ; term : [ [ f = LIDENT ; ( " " ; terms = LIST0 SELF SEP " , " ; ) " " -> Term ( Termf , terms ) terms | f = LIDENT -> Term ( f [ ] ) , | v = UIDENT -> Var v ] ] ; pair : [ [ ls = LIST1 [ l = term ; " " = ; r = term -> ( l , r ) r ] r SEP " , " ; EOI -> rob ls ] ] ; END ; end
let term_of_string = MGram . parse_string term_eoi ( Loc . mk " < string ) " >
let pair_of_string = MGram . parse_string pair ( Loc . mk " < pair ) " >
type _ succ = Succ
type _ nat = | NZ : zero nat | NS : ' a nat -> ' a succ nat
type _ fin = | FZ : ' a succ fin | FS : ' a fin -> ' a succ fin
type _ is_succ = IS : ' a succ is_succ
let fin_succ : type n . n fin -> n is_succ = function | FZ -> IS | FS _ -> IS ; ; [ %% expect { |
type _ succ = Succ
type _ nat = NZ : zero nat | NS : ' a nat -> ' a succ nat
type _ fin = FZ : ' a succ fin | FS : ' a fin -> ' a succ fin
type _ is_succ = IS : ' a succ is_succ } ] ; ; |
type ' a term = | Var of ' a fin | Leaf | Fork of ' a term * ' a term
let var x = Var x
let lift r : ' m fin -> ' n term = fun x -> Var ( r x )
let rec pre_subst f = function | Var x -> f x | Leaf -> Leaf | Fork ( t1 , t2 ) -> Fork ( pre_subst f t1 , pre_subst f t2 )
let comp_subst f g ( x : ' a fin ) = pre_subst f ( g x ) ; ; [ %% expect { |
type ' a term = Var of ' a fin | Leaf | Fork of ' a term * ' a term ( ' b fin -> ' c term ) -> ( ' a fin -> ' b term ) -> ' a fin -> ' c term = < fun > } ] ; ; |
let rec thin : type n . n succ fin -> n fin -> n succ fin = fun x y -> match x , y with | FZ , y -> FS y | FS x , FZ -> FZ | FS x , FS y -> FS ( thin x y ) [ %% expect { | } ] ; ; |
let bind t f = match t with | None -> None | Some x -> f x [ %% expect { | } ] ; ; |
let rec thick : type n . n succ fin -> n succ fin -> n fin option = fun x y -> match x , y with | FZ , FZ -> None | FZ , FS y -> Some y | FS x , FZ -> let IS = fin_succ x in Some FZ | FS x , FS y -> let IS = fin_succ x in bind ( thick x y ) ( fun x -> Some ( FS x ) ) [ %% expect { | } ] ; ; |
let rec check : type n . n succ fin -> n succ term -> n term option = fun x t -> match t with | Var y -> bind ( thick x y ) ( fun x -> Some ( Var x ) ) | Leaf -> Some Leaf | Fork ( t1 , t2 ) -> bind ( check x t1 ) ( fun t1 -> bind ( check x t2 ) ( fun t2 -> Some ( Fork ( t1 , t2 ) ) ) ) [ %% expect { | } ] ; ; |
let subst_var x t ' y = match thick x y with | None -> t ' | Some y ' -> Var y ' [ %% expect { | } ] ; ; |