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microsoft
/
FStarDataSet-V2

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Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.output11_len
val output11_len:(x: UInt32.t{UInt32.v x = B.length output11})
val output11_len:(x: UInt32.t{UInt32.v x = B.length output11})
let output11_len: (x:UInt32.t { UInt32.v x = B.length output11 }) = 2027ul
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 8, "end_line": 485, "start_col": 22, "start_line": 484 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output0_len: (x:UInt32.t { UInt32.v x = B.length output0 }) = 281ul let key1: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4cuy; 0xf5uy; 0x96uy; 0x83uy; 0x38uy; 0xe6uy; 0xaeuy; 0x7fuy; 0x2duy; 0x29uy; 0x25uy; 0x76uy; 0xd5uy; 0x75uy; 0x27uy; 0x86uy; 0x91uy; 0x9auy; 0x27uy; 0x7auy; 0xfbuy; 0x46uy; 0xc5uy; 0xefuy; 0x94uy; 0x81uy; 0x79uy; 0x57uy; 0x14uy; 0x59uy; 0x40uy; 0x68uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key1_len: (x:UInt32.t { UInt32.v x = B.length key1 }) = 32ul let nonce1: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xcauy; 0xbfuy; 0x33uy; 0x71uy; 0x32uy; 0x45uy; 0x77uy; 0x8euy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce1_len: (x:UInt32.t { UInt32.v x = B.length nonce1 }) = 12ul let aad1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad1_len: (x:UInt32.t { UInt32.v x = B.length aad1 }) = 0ul let input1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad1 }) = B.recall aad1;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input1_len: (x:UInt32.t { UInt32.v x = B.length input1 }) = 0ul let output1: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xe0uy; 0x1euy; 0x9euy; 0x2cuy; 0x91uy; 0xaauy; 0xe1uy; 0xdbuy; 0x5duy; 0x99uy; 0x3fuy; 0x8auy; 0xf7uy; 0x69uy; 0x92uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output1_len: (x:UInt32.t { UInt32.v x = B.length output1 }) = 16ul let key2: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x2duy; 0xb0uy; 0x5duy; 0x40uy; 0xc8uy; 0xeduy; 0x44uy; 0x88uy; 0x34uy; 0xd1uy; 0x13uy; 0xafuy; 0x57uy; 0xa1uy; 0xebuy; 0x3auy; 0x2auy; 0x80uy; 0x51uy; 0x36uy; 0xecuy; 0x5buy; 0xbcuy; 0x08uy; 0x93uy; 0x84uy; 0x21uy; 0xb5uy; 0x13uy; 0x88uy; 0x3cuy; 0x0duy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key2_len: (x:UInt32.t { UInt32.v x = B.length key2 }) = 32ul let nonce2: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x3duy; 0x86uy; 0xb5uy; 0x6buy; 0xc8uy; 0xa3uy; 0x1fuy; 0x1duy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce2_len: (x:UInt32.t { UInt32.v x = B.length nonce2 }) = 12ul let aad2: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x33uy; 0x10uy; 0x41uy; 0x12uy; 0x1fuy; 0xf3uy; 0xd2uy; 0x6buy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad2_len: (x:UInt32.t { UInt32.v x = B.length aad2 }) = 8ul let input2: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad2 }) = B.recall aad2;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input2_len: (x:UInt32.t { UInt32.v x = B.length input2 }) = 0ul let output2: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xdduy; 0x6buy; 0x3buy; 0x82uy; 0xceuy; 0x5auy; 0xbduy; 0xd6uy; 0xa9uy; 0x35uy; 0x83uy; 0xd8uy; 0x8cuy; 0x3duy; 0x85uy; 0x77uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output2_len: (x:UInt32.t { UInt32.v x = B.length output2 }) = 16ul let key3: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4buy; 0x28uy; 0x4buy; 0xa3uy; 0x7buy; 0xbeuy; 0xe9uy; 0xf8uy; 0x31uy; 0x80uy; 0x82uy; 0xd7uy; 0xd8uy; 0xe8uy; 0xb5uy; 0xa1uy; 0xe2uy; 0x18uy; 0x18uy; 0x8auy; 0x9cuy; 0xfauy; 0xa3uy; 0x3duy; 0x25uy; 0x71uy; 0x3euy; 0x40uy; 0xbcuy; 0x54uy; 0x7auy; 0x3euy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key3_len: (x:UInt32.t { UInt32.v x = B.length key3 }) = 32ul let nonce3: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xd2uy; 0x32uy; 0x1fuy; 0x29uy; 0x28uy; 0xc6uy; 0xc4uy; 0xc4uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce3_len: (x:UInt32.t { UInt32.v x = B.length nonce3 }) = 12ul let aad3: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xe2uy; 0xaduy; 0x3fuy; 0x88uy; 0x39uy; 0x5auy; 0x40uy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad3_len: (x:UInt32.t { UInt32.v x = B.length aad3 }) = 8ul let input3: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad3 }) = B.recall aad3;[@inline_let] let l = [ 0xa4uy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input3_len: (x:UInt32.t { UInt32.v x = B.length input3 }) = 1ul let output3: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xb7uy; 0x1buy; 0xb0uy; 0x73uy; 0x59uy; 0xb0uy; 0x84uy; 0xb2uy; 0x6duy; 0x8euy; 0xabuy; 0x94uy; 0x31uy; 0xa1uy; 0xaeuy; 0xacuy; 0x89uy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output3_len: (x:UInt32.t { UInt32.v x = B.length output3 }) = 17ul let key4: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x66uy; 0xcauy; 0x9cuy; 0x23uy; 0x2auy; 0x4buy; 0x4buy; 0x31uy; 0x0euy; 0x92uy; 0x89uy; 0x8buy; 0xf4uy; 0x93uy; 0xc7uy; 0x87uy; 0x98uy; 0xa3uy; 0xd8uy; 0x39uy; 0xf8uy; 0xf4uy; 0xa7uy; 0x01uy; 0xc0uy; 0x2euy; 0x0auy; 0xa6uy; 0x7euy; 0x5auy; 0x78uy; 0x87uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key4_len: (x:UInt32.t { UInt32.v x = B.length key4 }) = 32ul let nonce4: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x20uy; 0x1cuy; 0xaauy; 0x5fuy; 0x9cuy; 0xbfuy; 0x92uy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce4_len: (x:UInt32.t { UInt32.v x = B.length nonce4 }) = 12ul let aad4: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad4_len: (x:UInt32.t { UInt32.v x = B.length aad4 }) = 0ul let input4: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad4 }) = B.recall aad4;[@inline_let] let l = [ 0x2duy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input4_len: (x:UInt32.t { UInt32.v x = B.length input4 }) = 1ul let output4: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xbfuy; 0xe1uy; 0x5buy; 0x0buy; 0xdbuy; 0x6buy; 0xf5uy; 0x5euy; 0x6cuy; 0x5duy; 0x84uy; 0x44uy; 0x39uy; 0x81uy; 0xc1uy; 0x9cuy; 0xacuy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output4_len: (x:UInt32.t { UInt32.v x = B.length output4 }) = 17ul let key5: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x68uy; 0x7buy; 0x8duy; 0x8euy; 0xe3uy; 0xc4uy; 0xdduy; 0xaeuy; 0xdfuy; 0x72uy; 0x7fuy; 0x53uy; 0x72uy; 0x25uy; 0x1euy; 0x78uy; 0x91uy; 0xcbuy; 0x69uy; 0x76uy; 0x1fuy; 0x49uy; 0x93uy; 0xf9uy; 0x6fuy; 0x21uy; 0xccuy; 0x39uy; 0x9cuy; 0xaduy; 0xb1uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key5_len: (x:UInt32.t { UInt32.v x = B.length key5 }) = 32ul let nonce5: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdfuy; 0x51uy; 0x84uy; 0x82uy; 0x42uy; 0x0cuy; 0x75uy; 0x9cuy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce5_len: (x:UInt32.t { UInt32.v x = B.length nonce5 }) = 12ul let aad5: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0x70uy; 0xd3uy; 0x33uy; 0xf3uy; 0x8buy; 0x18uy; 0x0buy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad5_len: (x:UInt32.t { UInt32.v x = B.length aad5 }) = 7ul let input5: (b: B.buffer UInt8.t { B.length b = 129 /\ B.recallable b /\ B.disjoint b aad5 }) = B.recall aad5;[@inline_let] let l = [ 0x33uy; 0x2fuy; 0x94uy; 0xc1uy; 0xa4uy; 0xefuy; 0xccuy; 0x2auy; 0x5buy; 0xa6uy; 0xe5uy; 0x8fuy; 0x1duy; 0x40uy; 0xf0uy; 0x92uy; 0x3cuy; 0xd9uy; 0x24uy; 0x11uy; 0xa9uy; 0x71uy; 0xf9uy; 0x37uy; 0x14uy; 0x99uy; 0xfauy; 0xbeuy; 0xe6uy; 0x80uy; 0xdeuy; 0x50uy; 0xc9uy; 0x96uy; 0xd4uy; 0xb0uy; 0xecuy; 0x9euy; 0x17uy; 0xecuy; 0xd2uy; 0x5euy; 0x72uy; 0x99uy; 0xfcuy; 0x0auy; 0xe1uy; 0xcbuy; 0x48uy; 0xd2uy; 0x85uy; 0xdduy; 0x2fuy; 0x90uy; 0xe0uy; 0x66uy; 0x3buy; 0xe6uy; 0x20uy; 0x74uy; 0xbeuy; 0x23uy; 0x8fuy; 0xcbuy; 0xb4uy; 0xe4uy; 0xdauy; 0x48uy; 0x40uy; 0xa6uy; 0xd1uy; 0x1buy; 0xc7uy; 0x42uy; 0xceuy; 0x2fuy; 0x0cuy; 0xa6uy; 0x85uy; 0x6euy; 0x87uy; 0x37uy; 0x03uy; 0xb1uy; 0x7cuy; 0x25uy; 0x96uy; 0xa3uy; 0x05uy; 0xd8uy; 0xb0uy; 0xf4uy; 0xeduy; 0xeauy; 0xc2uy; 0xf0uy; 0x31uy; 0x98uy; 0x6cuy; 0xd1uy; 0x14uy; 0x25uy; 0xc0uy; 0xcbuy; 0x01uy; 0x74uy; 0xd0uy; 0x82uy; 0xf4uy; 0x36uy; 0xf5uy; 0x41uy; 0xd5uy; 0xdcuy; 0xcauy; 0xc5uy; 0xbbuy; 0x98uy; 0xfeuy; 0xfcuy; 0x69uy; 0x21uy; 0x70uy; 0xd8uy; 0xa4uy; 0x4buy; 0xc8uy; 0xdeuy; 0x8fuy; ] in assert_norm (List.Tot.length l = 129); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input5_len: (x:UInt32.t { UInt32.v x = B.length input5 }) = 129ul let output5: (b: B.buffer UInt8.t { B.length b = 145 /\ B.recallable b }) = [@inline_let] let l = [ 0x8buy; 0x06uy; 0xd3uy; 0x31uy; 0xb0uy; 0x93uy; 0x45uy; 0xb1uy; 0x75uy; 0x6euy; 0x26uy; 0xf9uy; 0x67uy; 0xbcuy; 0x90uy; 0x15uy; 0x81uy; 0x2cuy; 0xb5uy; 0xf0uy; 0xc6uy; 0x2buy; 0xc7uy; 0x8cuy; 0x56uy; 0xd1uy; 0xbfuy; 0x69uy; 0x6cuy; 0x07uy; 0xa0uy; 0xdauy; 0x65uy; 0x27uy; 0xc9uy; 0x90uy; 0x3duy; 0xefuy; 0x4buy; 0x11uy; 0x0fuy; 0x19uy; 0x07uy; 0xfduy; 0x29uy; 0x92uy; 0xd9uy; 0xc8uy; 0xf7uy; 0x99uy; 0x2euy; 0x4auy; 0xd0uy; 0xb8uy; 0x2cuy; 0xdcuy; 0x93uy; 0xf5uy; 0x9euy; 0x33uy; 0x78uy; 0xd1uy; 0x37uy; 0xc3uy; 0x66uy; 0xd7uy; 0x5euy; 0xbcuy; 0x44uy; 0xbfuy; 0x53uy; 0xa5uy; 0xbcuy; 0xc4uy; 0xcbuy; 0x7buy; 0x3auy; 0x8euy; 0x7fuy; 0x02uy; 0xbduy; 0xbbuy; 0xe7uy; 0xcauy; 0xa6uy; 0x6cuy; 0x6buy; 0x93uy; 0x21uy; 0x93uy; 0x10uy; 0x61uy; 0xe7uy; 0x69uy; 0xd0uy; 0x78uy; 0xf3uy; 0x07uy; 0x5auy; 0x1auy; 0x8fuy; 0x73uy; 0xaauy; 0xb1uy; 0x4euy; 0xd3uy; 0xdauy; 0x4fuy; 0xf3uy; 0x32uy; 0xe1uy; 0x66uy; 0x3euy; 0x6cuy; 0xc6uy; 0x13uy; 0xbauy; 0x06uy; 0x5buy; 0xfcuy; 0x6auy; 0xe5uy; 0x6fuy; 0x60uy; 0xfbuy; 0x07uy; 0x40uy; 0xb0uy; 0x8cuy; 0x9duy; 0x84uy; 0x43uy; 0x6buy; 0xc1uy; 0xf7uy; 0x8duy; 0x8duy; 0x31uy; 0xf7uy; 0x7auy; 0x39uy; 0x4duy; 0x8fuy; 0x9auy; 0xebuy; ] in assert_norm (List.Tot.length l = 145); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output5_len: (x:UInt32.t { UInt32.v x = B.length output5 }) = 145ul let key6: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x8duy; 0xb8uy; 0x91uy; 0x48uy; 0xf0uy; 0xe7uy; 0x0auy; 0xbduy; 0xf9uy; 0x3fuy; 0xcduy; 0xd9uy; 0xa0uy; 0x1euy; 0x42uy; 0x4cuy; 0xe7uy; 0xdeuy; 0x25uy; 0x3duy; 0xa3uy; 0xd7uy; 0x05uy; 0x80uy; 0x8duy; 0xf2uy; 0x82uy; 0xacuy; 0x44uy; 0x16uy; 0x51uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key6_len: (x:UInt32.t { UInt32.v x = B.length key6 }) = 32ul let nonce6: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdeuy; 0x7buy; 0xefuy; 0xc3uy; 0x65uy; 0x1buy; 0x68uy; 0xb0uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce6_len: (x:UInt32.t { UInt32.v x = B.length nonce6 }) = 12ul let aad6: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad6_len: (x:UInt32.t { UInt32.v x = B.length aad6 }) = 0ul let input6: (b: B.buffer UInt8.t { B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6 }) = B.recall aad6;[@inline_let] let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy; ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input6_len: (x:UInt32.t { UInt32.v x = B.length input6 }) = 256ul let output6: (b: B.buffer UInt8.t { B.length b = 272 /\ B.recallable b }) = [@inline_let] let l = [ 0x85uy; 0x04uy; 0xc2uy; 0xeduy; 0x8duy; 0xfduy; 0x97uy; 0x5cuy; 0xd2uy; 0xb7uy; 0xe2uy; 0xc1uy; 0x6buy; 0xa3uy; 0xbauy; 0xf8uy; 0xc9uy; 0x50uy; 0xc3uy; 0xc6uy; 0xa5uy; 0xe3uy; 0xa4uy; 0x7cuy; 0xc3uy; 0x23uy; 0x49uy; 0x5euy; 0xa9uy; 0xb9uy; 0x32uy; 0xebuy; 0x8auy; 0x7cuy; 0xcauy; 0xe5uy; 0xecuy; 0xfbuy; 0x7cuy; 0xc0uy; 0xcbuy; 0x7duy; 0xdcuy; 0x2cuy; 0x9duy; 0x92uy; 0x55uy; 0x21uy; 0x0auy; 0xc8uy; 0x43uy; 0x63uy; 0x59uy; 0x0auy; 0x31uy; 0x70uy; 0x82uy; 0x67uy; 0x41uy; 0x03uy; 0xf8uy; 0xdfuy; 0xf2uy; 0xacuy; 0xa7uy; 0x02uy; 0xd4uy; 0xd5uy; 0x8auy; 0x2duy; 0xc8uy; 0x99uy; 0x19uy; 0x66uy; 0xd0uy; 0xf6uy; 0x88uy; 0x2cuy; 0x77uy; 0xd9uy; 0xd4uy; 0x0duy; 0x6cuy; 0xbduy; 0x98uy; 0xdeuy; 0xe7uy; 0x7fuy; 0xaduy; 0x7euy; 0x8auy; 0xfbuy; 0xe9uy; 0x4buy; 0xe5uy; 0xf7uy; 0xe5uy; 0x50uy; 0xa0uy; 0x90uy; 0x3fuy; 0xd6uy; 0x22uy; 0x53uy; 0xe3uy; 0xfeuy; 0x1buy; 0xccuy; 0x79uy; 0x3buy; 0xecuy; 0x12uy; 0x47uy; 0x52uy; 0xa7uy; 0xd6uy; 0x04uy; 0xe3uy; 0x52uy; 0xe6uy; 0x93uy; 0x90uy; 0x91uy; 0x32uy; 0x73uy; 0x79uy; 0xb8uy; 0xd0uy; 0x31uy; 0xdeuy; 0x1fuy; 0x9fuy; 0x2fuy; 0x05uy; 0x38uy; 0x54uy; 0x2fuy; 0x35uy; 0x04uy; 0x39uy; 0xe0uy; 0xa7uy; 0xbauy; 0xc6uy; 0x52uy; 0xf6uy; 0x37uy; 0x65uy; 0x4cuy; 0x07uy; 0xa9uy; 0x7euy; 0xb3uy; 0x21uy; 0x6fuy; 0x74uy; 0x8cuy; 0xc9uy; 0xdeuy; 0xdbuy; 0x65uy; 0x1buy; 0x9buy; 0xaauy; 0x60uy; 0xb1uy; 0x03uy; 0x30uy; 0x6buy; 0xb2uy; 0x03uy; 0xc4uy; 0x1cuy; 0x04uy; 0xf8uy; 0x0fuy; 0x64uy; 0xafuy; 0x46uy; 0xe4uy; 0x65uy; 0x99uy; 0x49uy; 0xe2uy; 0xeauy; 0xceuy; 0x78uy; 0x00uy; 0xd8uy; 0x8buy; 0xd5uy; 0x2euy; 0xcfuy; 0xfcuy; 0x40uy; 0x49uy; 0xe8uy; 0x58uy; 0xdcuy; 0x34uy; 0x9cuy; 0x8cuy; 0x61uy; 0xbfuy; 0x0auy; 0x8euy; 0xecuy; 0x39uy; 0xa9uy; 0x30uy; 0x05uy; 0x5auy; 0xd2uy; 0x56uy; 0x01uy; 0xc7uy; 0xdauy; 0x8fuy; 0x4euy; 0xbbuy; 0x43uy; 0xa3uy; 0x3auy; 0xf9uy; 0x15uy; 0x2auy; 0xd0uy; 0xa0uy; 0x7auy; 0x87uy; 0x34uy; 0x82uy; 0xfeuy; 0x8auy; 0xd1uy; 0x2duy; 0x5euy; 0xc7uy; 0xbfuy; 0x04uy; 0x53uy; 0x5fuy; 0x3buy; 0x36uy; 0xd4uy; 0x25uy; 0x5cuy; 0x34uy; 0x7auy; 0x8duy; 0xd5uy; 0x05uy; 0xceuy; 0x72uy; 0xcauy; 0xefuy; 0x7auy; 0x4buy; 0xbcuy; 0xb0uy; 0x10uy; 0x5cuy; 0x96uy; 0x42uy; 0x3auy; 0x00uy; 0x98uy; 0xcduy; 0x15uy; 0xe8uy; 0xb7uy; 0x53uy; ] in assert_norm (List.Tot.length l = 272); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output6_len: (x:UInt32.t { UInt32.v x = B.length output6 }) = 272ul let key7: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xf2uy; 0xaauy; 0x4fuy; 0x99uy; 0xfduy; 0x3euy; 0xa8uy; 0x53uy; 0xc1uy; 0x44uy; 0xe9uy; 0x81uy; 0x18uy; 0xdcuy; 0xf5uy; 0xf0uy; 0x3euy; 0x44uy; 0x15uy; 0x59uy; 0xe0uy; 0xc5uy; 0x44uy; 0x86uy; 0xc3uy; 0x91uy; 0xa8uy; 0x75uy; 0xc0uy; 0x12uy; 0x46uy; 0xbauy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key7_len: (x:UInt32.t { UInt32.v x = B.length key7 }) = 32ul let nonce7: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x0euy; 0x0duy; 0x57uy; 0xbbuy; 0x7buy; 0x40uy; 0x54uy; 0x02uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce7_len: (x:UInt32.t { UInt32.v x = B.length nonce7 }) = 12ul let aad7: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad7_len: (x:UInt32.t { UInt32.v x = B.length aad7 }) = 0ul let input7: (b: B.buffer UInt8.t { B.length b = 512 /\ B.recallable b /\ B.disjoint b aad7 }) = B.recall aad7;[@inline_let] let l = [ 0xc3uy; 0x09uy; 0x94uy; 0x62uy; 0xe6uy; 0x46uy; 0x2euy; 0x10uy; 0xbeuy; 0x00uy; 0xe4uy; 0xfcuy; 0xf3uy; 0x40uy; 0xa3uy; 0xe2uy; 0x0fuy; 0xc2uy; 0x8buy; 0x28uy; 0xdcuy; 0xbauy; 0xb4uy; 0x3cuy; 0xe4uy; 0x21uy; 0x58uy; 0x61uy; 0xcduy; 0x8buy; 0xcduy; 0xfbuy; 0xacuy; 0x94uy; 0xa1uy; 0x45uy; 0xf5uy; 0x1cuy; 0xe1uy; 0x12uy; 0xe0uy; 0x3buy; 0x67uy; 0x21uy; 0x54uy; 0x5euy; 0x8cuy; 0xaauy; 0xcfuy; 0xdbuy; 0xb4uy; 0x51uy; 0xd4uy; 0x13uy; 0xdauy; 0xe6uy; 0x83uy; 0x89uy; 0xb6uy; 0x92uy; 0xe9uy; 0x21uy; 0x76uy; 0xa4uy; 0x93uy; 0x7duy; 0x0euy; 0xfduy; 0x96uy; 0x36uy; 0x03uy; 0x91uy; 0x43uy; 0x5cuy; 0x92uy; 0x49uy; 0x62uy; 0x61uy; 0x7buy; 0xebuy; 0x43uy; 0x89uy; 0xb8uy; 0x12uy; 0x20uy; 0x43uy; 0xd4uy; 0x47uy; 0x06uy; 0x84uy; 0xeeuy; 0x47uy; 0xe9uy; 0x8auy; 0x73uy; 0x15uy; 0x0fuy; 0x72uy; 0xcfuy; 0xeduy; 0xceuy; 0x96uy; 0xb2uy; 0x7fuy; 0x21uy; 0x45uy; 0x76uy; 0xebuy; 0x26uy; 0x28uy; 0x83uy; 0x6auy; 0xaduy; 0xaauy; 0xa6uy; 0x81uy; 0xd8uy; 0x55uy; 0xb1uy; 0xa3uy; 0x85uy; 0xb3uy; 0x0cuy; 0xdfuy; 0xf1uy; 0x69uy; 0x2duy; 0x97uy; 0x05uy; 0x2auy; 0xbcuy; 0x7cuy; 0x7buy; 0x25uy; 0xf8uy; 0x80uy; 0x9duy; 0x39uy; 0x25uy; 0xf3uy; 0x62uy; 0xf0uy; 0x66uy; 0x5euy; 0xf4uy; 0xa0uy; 0xcfuy; 0xd8uy; 0xfduy; 0x4fuy; 0xb1uy; 0x1fuy; 0x60uy; 0x3auy; 0x08uy; 0x47uy; 0xafuy; 0xe1uy; 0xf6uy; 0x10uy; 0x77uy; 0x09uy; 0xa7uy; 0x27uy; 0x8fuy; 0x9auy; 0x97uy; 0x5auy; 0x26uy; 0xfauy; 0xfeuy; 0x41uy; 0x32uy; 0x83uy; 0x10uy; 0xe0uy; 0x1duy; 0xbfuy; 0x64uy; 0x0duy; 0xf4uy; 0x1cuy; 0x32uy; 0x35uy; 0xe5uy; 0x1buy; 0x36uy; 0xefuy; 0xd4uy; 0x4auy; 0x93uy; 0x4duy; 0x00uy; 0x7cuy; 0xecuy; 0x02uy; 0x07uy; 0x8buy; 0x5duy; 0x7duy; 0x1buy; 0x0euy; 0xd1uy; 0xa6uy; 0xa5uy; 0x5duy; 0x7duy; 0x57uy; 0x88uy; 0xa8uy; 0xccuy; 0x81uy; 0xb4uy; 0x86uy; 0x4euy; 0xb4uy; 0x40uy; 0xe9uy; 0x1duy; 0xc3uy; 0xb1uy; 0x24uy; 0x3euy; 0x7fuy; 0xccuy; 0x8auy; 0x24uy; 0x9buy; 0xdfuy; 0x6duy; 0xf0uy; 0x39uy; 0x69uy; 0x3euy; 0x4cuy; 0xc0uy; 0x96uy; 0xe4uy; 0x13uy; 0xdauy; 0x90uy; 0xdauy; 0xf4uy; 0x95uy; 0x66uy; 0x8buy; 0x17uy; 0x17uy; 0xfeuy; 0x39uy; 0x43uy; 0x25uy; 0xaauy; 0xdauy; 0xa0uy; 0x43uy; 0x3cuy; 0xb1uy; 0x41uy; 0x02uy; 0xa3uy; 0xf0uy; 0xa7uy; 0x19uy; 0x59uy; 0xbcuy; 0x1duy; 0x7duy; 0x6cuy; 0x6duy; 0x91uy; 0x09uy; 0x5cuy; 0xb7uy; 0x5buy; 0x01uy; 0xd1uy; 0x6fuy; 0x17uy; 0x21uy; 0x97uy; 0xbfuy; 0x89uy; 0x71uy; 0xa5uy; 0xb0uy; 0x6euy; 0x07uy; 0x45uy; 0xfduy; 0x9duy; 0xeauy; 0x07uy; 0xf6uy; 0x7auy; 0x9fuy; 0x10uy; 0x18uy; 0x22uy; 0x30uy; 0x73uy; 0xacuy; 0xd4uy; 0x6buy; 0x72uy; 0x44uy; 0xeduy; 0xd9uy; 0x19uy; 0x9buy; 0x2duy; 0x4auy; 0x41uy; 0xdduy; 0xd1uy; 0x85uy; 0x5euy; 0x37uy; 0x19uy; 0xeduy; 0xd2uy; 0x15uy; 0x8fuy; 0x5euy; 0x91uy; 0xdbuy; 0x33uy; 0xf2uy; 0xe4uy; 0xdbuy; 0xffuy; 0x98uy; 0xfbuy; 0xa3uy; 0xb5uy; 0xcauy; 0x21uy; 0x69uy; 0x08uy; 0xe7uy; 0x8auy; 0xdfuy; 0x90uy; 0xffuy; 0x3euy; 0xe9uy; 0x20uy; 0x86uy; 0x3cuy; 0xe9uy; 0xfcuy; 0x0buy; 0xfeuy; 0x5cuy; 0x61uy; 0xaauy; 0x13uy; 0x92uy; 0x7fuy; 0x7buy; 0xecuy; 0xe0uy; 0x6duy; 0xa8uy; 0x23uy; 0x22uy; 0xf6uy; 0x6buy; 0x77uy; 0xc4uy; 0xfeuy; 0x40uy; 0x07uy; 0x3buy; 0xb6uy; 0xf6uy; 0x8euy; 0x5fuy; 0xd4uy; 0xb9uy; 0xb7uy; 0x0fuy; 0x21uy; 0x04uy; 0xefuy; 0x83uy; 0x63uy; 0x91uy; 0x69uy; 0x40uy; 0xa3uy; 0x48uy; 0x5cuy; 0xd2uy; 0x60uy; 0xf9uy; 0x4fuy; 0x6cuy; 0x47uy; 0x8buy; 0x3buy; 0xb1uy; 0x9fuy; 0x8euy; 0xeeuy; 0x16uy; 0x8auy; 0x13uy; 0xfcuy; 0x46uy; 0x17uy; 0xc3uy; 0xc3uy; 0x32uy; 0x56uy; 0xf8uy; 0x3cuy; 0x85uy; 0x3auy; 0xb6uy; 0x3euy; 0xaauy; 0x89uy; 0x4fuy; 0xb3uy; 0xdfuy; 0x38uy; 0xfduy; 0xf1uy; 0xe4uy; 0x3auy; 0xc0uy; 0xe6uy; 0x58uy; 0xb5uy; 0x8fuy; 0xc5uy; 0x29uy; 0xa2uy; 0x92uy; 0x4auy; 0xb6uy; 0xa0uy; 0x34uy; 0x7fuy; 0xabuy; 0xb5uy; 0x8auy; 0x90uy; 0xa1uy; 0xdbuy; 0x4duy; 0xcauy; 0xb6uy; 0x2cuy; 0x41uy; 0x3cuy; 0xf7uy; 0x2buy; 0x21uy; 0xc3uy; 0xfduy; 0xf4uy; 0x17uy; 0x5cuy; 0xb5uy; 0x33uy; 0x17uy; 0x68uy; 0x2buy; 0x08uy; 0x30uy; 0xf3uy; 0xf7uy; 0x30uy; 0x3cuy; 0x96uy; 0xe6uy; 0x6auy; 0x20uy; 0x97uy; 0xe7uy; 0x4duy; 0x10uy; 0x5fuy; 0x47uy; 0x5fuy; 0x49uy; 0x96uy; 0x09uy; 0xf0uy; 0x27uy; 0x91uy; 0xc8uy; 0xf8uy; 0x5auy; 0x2euy; 0x79uy; 0xb5uy; 0xe2uy; 0xb8uy; 0xe8uy; 0xb9uy; 0x7buy; 0xd5uy; 0x10uy; 0xcbuy; 0xffuy; 0x5duy; 0x14uy; 0x73uy; 0xf3uy; ] in assert_norm (List.Tot.length l = 512); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input7_len: (x:UInt32.t { UInt32.v x = B.length input7 }) = 512ul let output7: (b: B.buffer UInt8.t { B.length b = 528 /\ B.recallable b }) = [@inline_let] let l = [ 0x14uy; 0xf6uy; 0x41uy; 0x37uy; 0xa6uy; 0xd4uy; 0x27uy; 0xcduy; 0xdbuy; 0x06uy; 0x3euy; 0x9auy; 0x4euy; 0xabuy; 0xd5uy; 0xb1uy; 0x1euy; 0x6buy; 0xd2uy; 0xbcuy; 0x11uy; 0xf4uy; 0x28uy; 0x93uy; 0x63uy; 0x54uy; 0xefuy; 0xbbuy; 0x5euy; 0x1duy; 0x3auy; 0x1duy; 0x37uy; 0x3cuy; 0x0auy; 0x6cuy; 0x1euy; 0xc2uy; 0xd1uy; 0x2cuy; 0xb5uy; 0xa3uy; 0xb5uy; 0x7buy; 0xb8uy; 0x8fuy; 0x25uy; 0xa6uy; 0x1buy; 0x61uy; 0x1cuy; 0xecuy; 0x28uy; 0x58uy; 0x26uy; 0xa4uy; 0xa8uy; 0x33uy; 0x28uy; 0x25uy; 0x5cuy; 0x45uy; 0x05uy; 0xe5uy; 0x6cuy; 0x99uy; 0xe5uy; 0x45uy; 0xc4uy; 0xa2uy; 0x03uy; 0x84uy; 0x03uy; 0x73uy; 0x1euy; 0x8cuy; 0x49uy; 0xacuy; 0x20uy; 0xdduy; 0x8duy; 0xb3uy; 0xc4uy; 0xf5uy; 0xe7uy; 0x4fuy; 0xf1uy; 0xeduy; 0xa1uy; 0x98uy; 0xdeuy; 0xa4uy; 0x96uy; 0xdduy; 0x2fuy; 0xabuy; 0xabuy; 0x97uy; 0xcfuy; 0x3euy; 0xd2uy; 0x9euy; 0xb8uy; 0x13uy; 0x07uy; 0x28uy; 0x29uy; 0x19uy; 0xafuy; 0xfduy; 0xf2uy; 0x49uy; 0x43uy; 0xeauy; 0x49uy; 0x26uy; 0x91uy; 0xc1uy; 0x07uy; 0xd6uy; 0xbbuy; 0x81uy; 0x75uy; 0x35uy; 0x0duy; 0x24uy; 0x7fuy; 0xc8uy; 0xdauy; 0xd4uy; 0xb7uy; 0xebuy; 0xe8uy; 0x5cuy; 0x09uy; 0xa2uy; 0x2fuy; 0xdcuy; 0x28uy; 0x7duy; 0x3auy; 0x03uy; 0xfauy; 0x94uy; 0xb5uy; 0x1duy; 0x17uy; 0x99uy; 0x36uy; 0xc3uy; 0x1cuy; 0x18uy; 0x34uy; 0xe3uy; 0x9fuy; 0xf5uy; 0x55uy; 0x7cuy; 0xb0uy; 0x60uy; 0x9duy; 0xffuy; 0xacuy; 0xd4uy; 0x61uy; 0xf2uy; 0xaduy; 0xf8uy; 0xceuy; 0xc7uy; 0xbeuy; 0x5cuy; 0xd2uy; 0x95uy; 0xa8uy; 0x4buy; 0x77uy; 0x13uy; 0x19uy; 0x59uy; 0x26uy; 0xc9uy; 0xb7uy; 0x8fuy; 0x6auy; 0xcbuy; 0x2duy; 0x37uy; 0x91uy; 0xeauy; 0x92uy; 0x9cuy; 0x94uy; 0x5buy; 0xdauy; 0x0buy; 0xceuy; 0xfeuy; 0x30uy; 0x20uy; 0xf8uy; 0x51uy; 0xaduy; 0xf2uy; 0xbeuy; 0xe7uy; 0xc7uy; 0xffuy; 0xb3uy; 0x33uy; 0x91uy; 0x6auy; 0xc9uy; 0x1auy; 0x41uy; 0xc9uy; 0x0fuy; 0xf3uy; 0x10uy; 0x0euy; 0xfduy; 0x53uy; 0xffuy; 0x6cuy; 0x16uy; 0x52uy; 0xd9uy; 0xf3uy; 0xf7uy; 0x98uy; 0x2euy; 0xc9uy; 0x07uy; 0x31uy; 0x2cuy; 0x0cuy; 0x72uy; 0xd7uy; 0xc5uy; 0xc6uy; 0x08uy; 0x2auy; 0x7buy; 0xdauy; 0xbduy; 0x7euy; 0x02uy; 0xeauy; 0x1auy; 0xbbuy; 0xf2uy; 0x04uy; 0x27uy; 0x61uy; 0x28uy; 0x8euy; 0xf5uy; 0x04uy; 0x03uy; 0x1fuy; 0x4cuy; 0x07uy; 0x55uy; 0x82uy; 0xecuy; 0x1euy; 0xd7uy; 0x8buy; 0x2fuy; 0x65uy; 0x56uy; 0xd1uy; 0xd9uy; 0x1euy; 0x3cuy; 0xe9uy; 0x1fuy; 0x5euy; 0x98uy; 0x70uy; 0x38uy; 0x4auy; 0x8cuy; 0x49uy; 0xc5uy; 0x43uy; 0xa0uy; 0xa1uy; 0x8buy; 0x74uy; 0x9duy; 0x4cuy; 0x62uy; 0x0duy; 0x10uy; 0x0cuy; 0xf4uy; 0x6cuy; 0x8fuy; 0xe0uy; 0xaauy; 0x9auy; 0x8duy; 0xb7uy; 0xe0uy; 0xbeuy; 0x4cuy; 0x87uy; 0xf1uy; 0x98uy; 0x2fuy; 0xccuy; 0xeduy; 0xc0uy; 0x52uy; 0x29uy; 0xdcuy; 0x83uy; 0xf8uy; 0xfcuy; 0x2cuy; 0x0euy; 0xa8uy; 0x51uy; 0x4duy; 0x80uy; 0x0duy; 0xa3uy; 0xfeuy; 0xd8uy; 0x37uy; 0xe7uy; 0x41uy; 0x24uy; 0xfcuy; 0xfbuy; 0x75uy; 0xe3uy; 0x71uy; 0x7buy; 0x57uy; 0x45uy; 0xf5uy; 0x97uy; 0x73uy; 0x65uy; 0x63uy; 0x14uy; 0x74uy; 0xb8uy; 0x82uy; 0x9fuy; 0xf8uy; 0x60uy; 0x2fuy; 0x8auy; 0xf2uy; 0x4euy; 0xf1uy; 0x39uy; 0xdauy; 0x33uy; 0x91uy; 0xf8uy; 0x36uy; 0xe0uy; 0x8duy; 0x3fuy; 0x1fuy; 0x3buy; 0x56uy; 0xdcuy; 0xa0uy; 0x8fuy; 0x3cuy; 0x9duy; 0x71uy; 0x52uy; 0xa7uy; 0xb8uy; 0xc0uy; 0xa5uy; 0xc6uy; 0xa2uy; 0x73uy; 0xdauy; 0xf4uy; 0x4buy; 0x74uy; 0x5buy; 0x00uy; 0x3duy; 0x99uy; 0xd7uy; 0x96uy; 0xbauy; 0xe6uy; 0xe1uy; 0xa6uy; 0x96uy; 0x38uy; 0xaduy; 0xb3uy; 0xc0uy; 0xd2uy; 0xbauy; 0x91uy; 0x6buy; 0xf9uy; 0x19uy; 0xdduy; 0x3buy; 0xbeuy; 0xbeuy; 0x9cuy; 0x20uy; 0x50uy; 0xbauy; 0xa1uy; 0xd0uy; 0xceuy; 0x11uy; 0xbduy; 0x95uy; 0xd8uy; 0xd1uy; 0xdduy; 0x33uy; 0x85uy; 0x74uy; 0xdcuy; 0xdbuy; 0x66uy; 0x76uy; 0x44uy; 0xdcuy; 0x03uy; 0x74uy; 0x48uy; 0x35uy; 0x98uy; 0xb1uy; 0x18uy; 0x47uy; 0x94uy; 0x7duy; 0xffuy; 0x62uy; 0xe4uy; 0x58uy; 0x78uy; 0xabuy; 0xeduy; 0x95uy; 0x36uy; 0xd9uy; 0x84uy; 0x91uy; 0x82uy; 0x64uy; 0x41uy; 0xbbuy; 0x58uy; 0xe6uy; 0x1cuy; 0x20uy; 0x6duy; 0x15uy; 0x6buy; 0x13uy; 0x96uy; 0xe8uy; 0x35uy; 0x7fuy; 0xdcuy; 0x40uy; 0x2cuy; 0xe9uy; 0xbcuy; 0x8auy; 0x4fuy; 0x92uy; 0xecuy; 0x06uy; 0x2duy; 0x50uy; 0xdfuy; 0x93uy; 0x5duy; 0x65uy; 0x5auy; 0xa8uy; 0xfcuy; 0x20uy; 0x50uy; 0x14uy; 0xa9uy; 0x8auy; 0x7euy; 0x1duy; 0x08uy; 0x1fuy; 0xe2uy; 0x99uy; 0xd0uy; 0xbeuy; 0xfbuy; 0x3auy; 0x21uy; 0x9duy; 0xaduy; 0x86uy; 0x54uy; 0xfduy; 0x0duy; 0x98uy; 0x1cuy; 0x5auy; 0x6fuy; 0x1fuy; 0x9auy; 0x40uy; 0xcduy; 0xa2uy; 0xffuy; 0x6auy; 0xf1uy; 0x54uy; ] in assert_norm (List.Tot.length l = 528); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output7_len: (x:UInt32.t { UInt32.v x = B.length output7 }) = 528ul let key8: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xbcuy; 0x56uy; 0x99uy; 0xe3uy; 0x50uy; 0xffuy; 0xc5uy; 0xccuy; 0x1auy; 0xd7uy; 0xc1uy; 0x57uy; 0x72uy; 0xeauy; 0x86uy; 0x5buy; 0x89uy; 0x88uy; 0x61uy; 0x3duy; 0x2fuy; 0x9buy; 0xb2uy; 0xe7uy; 0x9cuy; 0xecuy; 0x74uy; 0x6euy; 0x3euy; 0xf4uy; 0x3buy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key8_len: (x:UInt32.t { UInt32.v x = B.length key8 }) = 32ul let nonce8: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xefuy; 0x2duy; 0x63uy; 0xeeuy; 0x6buy; 0x80uy; 0x8buy; 0x78uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce8_len: (x:UInt32.t { UInt32.v x = B.length nonce8 }) = 12ul let aad8: (b: B.buffer UInt8.t { B.length b = 9 /\ B.recallable b }) = [@inline_let] let l = [ 0x5auy; 0x27uy; 0xffuy; 0xebuy; 0xdfuy; 0x84uy; 0xb2uy; 0x9euy; 0xefuy; ] in assert_norm (List.Tot.length l = 9); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad8_len: (x:UInt32.t { UInt32.v x = B.length aad8 }) = 9ul let input8: (b: B.buffer UInt8.t { B.length b = 513 /\ B.recallable b /\ B.disjoint b aad8 }) = B.recall aad8;[@inline_let] let l = [ 0xe6uy; 0xc3uy; 0xdbuy; 0x63uy; 0x55uy; 0x15uy; 0xe3uy; 0x5buy; 0xb7uy; 0x4buy; 0x27uy; 0x8buy; 0x5auy; 0xdduy; 0xc2uy; 0xe8uy; 0x3auy; 0x6buy; 0xd7uy; 0x81uy; 0x96uy; 0x35uy; 0x97uy; 0xcauy; 0xd7uy; 0x68uy; 0xe8uy; 0xefuy; 0xceuy; 0xabuy; 0xdauy; 0x09uy; 0x6euy; 0xd6uy; 0x8euy; 0xcbuy; 0x55uy; 0xb5uy; 0xe1uy; 0xe5uy; 0x57uy; 0xfduy; 0xc4uy; 0xe3uy; 0xe0uy; 0x18uy; 0x4fuy; 0x85uy; 0xf5uy; 0x3fuy; 0x7euy; 0x4buy; 0x88uy; 0xc9uy; 0x52uy; 0x44uy; 0x0fuy; 0xeauy; 0xafuy; 0x1fuy; 0x71uy; 0x48uy; 0x9fuy; 0x97uy; 0x6duy; 0xb9uy; 0x6fuy; 0x00uy; 0xa6uy; 0xdeuy; 0x2buy; 0x77uy; 0x8buy; 0x15uy; 0xaduy; 0x10uy; 0xa0uy; 0x2buy; 0x7buy; 0x41uy; 0x90uy; 0x03uy; 0x2duy; 0x69uy; 0xaeuy; 0xccuy; 0x77uy; 0x7cuy; 0xa5uy; 0x9duy; 0x29uy; 0x22uy; 0xc2uy; 0xeauy; 0xb4uy; 0x00uy; 0x1auy; 0xd2uy; 0x7auy; 0x98uy; 0x8auy; 0xf9uy; 0xf7uy; 0x82uy; 0xb0uy; 0xabuy; 0xd8uy; 0xa6uy; 0x94uy; 0x8duy; 0x58uy; 0x2fuy; 0x01uy; 0x9euy; 0x00uy; 0x20uy; 0xfcuy; 0x49uy; 0xdcuy; 0x0euy; 0x03uy; 0xe8uy; 0x45uy; 0x10uy; 0xd6uy; 0xa8uy; 0xdauy; 0x55uy; 0x10uy; 0x9auy; 0xdfuy; 0x67uy; 0x22uy; 0x8buy; 0x43uy; 0xabuy; 0x00uy; 0xbbuy; 0x02uy; 0xc8uy; 0xdduy; 0x7buy; 0x97uy; 0x17uy; 0xd7uy; 0x1duy; 0x9euy; 0x02uy; 0x5euy; 0x48uy; 0xdeuy; 0x8euy; 0xcfuy; 0x99uy; 0x07uy; 0x95uy; 0x92uy; 0x3cuy; 0x5fuy; 0x9fuy; 0xc5uy; 0x8auy; 0xc0uy; 0x23uy; 0xaauy; 0xd5uy; 0x8cuy; 0x82uy; 0x6euy; 0x16uy; 0x92uy; 0xb1uy; 0x12uy; 0x17uy; 0x07uy; 0xc3uy; 0xfbuy; 0x36uy; 0xf5uy; 0x6cuy; 0x35uy; 0xd6uy; 0x06uy; 0x1fuy; 0x9fuy; 0xa7uy; 0x94uy; 0xa2uy; 0x38uy; 0x63uy; 0x9cuy; 0xb0uy; 0x71uy; 0xb3uy; 0xa5uy; 0xd2uy; 0xd8uy; 0xbauy; 0x9fuy; 0x08uy; 0x01uy; 0xb3uy; 0xffuy; 0x04uy; 0x97uy; 0x73uy; 0x45uy; 0x1buy; 0xd5uy; 0xa9uy; 0x9cuy; 0x80uy; 0xafuy; 0x04uy; 0x9auy; 0x85uy; 0xdbuy; 0x32uy; 0x5buy; 0x5duy; 0x1auy; 0xc1uy; 0x36uy; 0x28uy; 0x10uy; 0x79uy; 0xf1uy; 0x3cuy; 0xbfuy; 0x1auy; 0x41uy; 0x5cuy; 0x4euy; 0xdfuy; 0xb2uy; 0x7cuy; 0x79uy; 0x3buy; 0x7auy; 0x62uy; 0x3duy; 0x4buy; 0xc9uy; 0x9buy; 0x2auy; 0x2euy; 0x7cuy; 0xa2uy; 0xb1uy; 0x11uy; 0x98uy; 0xa7uy; 0x34uy; 0x1auy; 0x00uy; 0xf3uy; 0xd1uy; 0xbcuy; 0x18uy; 0x22uy; 0xbauy; 0x02uy; 0x56uy; 0x62uy; 0x31uy; 0x10uy; 0x11uy; 0x6duy; 0xe0uy; 0x54uy; 0x9duy; 0x40uy; 0x1fuy; 0x26uy; 0x80uy; 0x41uy; 0xcauy; 0x3fuy; 0x68uy; 0x0fuy; 0x32uy; 0x1duy; 0x0auy; 0x8euy; 0x79uy; 0xd8uy; 0xa4uy; 0x1buy; 0x29uy; 0x1cuy; 0x90uy; 0x8euy; 0xc5uy; 0xe3uy; 0xb4uy; 0x91uy; 0x37uy; 0x9auy; 0x97uy; 0x86uy; 0x99uy; 0xd5uy; 0x09uy; 0xc5uy; 0xbbuy; 0xa3uy; 0x3fuy; 0x21uy; 0x29uy; 0x82uy; 0x14uy; 0x5cuy; 0xabuy; 0x25uy; 0xfbuy; 0xf2uy; 0x4fuy; 0x58uy; 0x26uy; 0xd4uy; 0x83uy; 0xaauy; 0x66uy; 0x89uy; 0x67uy; 0x7euy; 0xc0uy; 0x49uy; 0xe1uy; 0x11uy; 0x10uy; 0x7fuy; 0x7auy; 0xdauy; 0x29uy; 0x04uy; 0xffuy; 0xf0uy; 0xcbuy; 0x09uy; 0x7cuy; 0x9duy; 0xfauy; 0x03uy; 0x6fuy; 0x81uy; 0x09uy; 0x31uy; 0x60uy; 0xfbuy; 0x08uy; 0xfauy; 0x74uy; 0xd3uy; 0x64uy; 0x44uy; 0x7cuy; 0x55uy; 0x85uy; 0xecuy; 0x9cuy; 0x6euy; 0x25uy; 0xb7uy; 0x6cuy; 0xc5uy; 0x37uy; 0xb6uy; 0x83uy; 0x87uy; 0x72uy; 0x95uy; 0x8buy; 0x9duy; 0xe1uy; 0x69uy; 0x5cuy; 0x31uy; 0x95uy; 0x42uy; 0xa6uy; 0x2cuy; 0xd1uy; 0x36uy; 0x47uy; 0x1fuy; 0xecuy; 0x54uy; 0xabuy; 0xa2uy; 0x1cuy; 0xd8uy; 0x00uy; 0xccuy; 0xbcuy; 0x0duy; 0x65uy; 0xe2uy; 0x67uy; 0xbfuy; 0xbcuy; 0xeauy; 0xeeuy; 0x9euy; 0xe4uy; 0x36uy; 0x95uy; 0xbeuy; 0x73uy; 0xd9uy; 0xa6uy; 0xd9uy; 0x0fuy; 0xa0uy; 0xccuy; 0x82uy; 0x76uy; 0x26uy; 0xaduy; 0x5buy; 0x58uy; 0x6cuy; 0x4euy; 0xabuy; 0x29uy; 0x64uy; 0xd3uy; 0xd9uy; 0xa9uy; 0x08uy; 0x8cuy; 0x1duy; 0xa1uy; 0x4fuy; 0x80uy; 0xd8uy; 0x3fuy; 0x94uy; 0xfbuy; 0xd3uy; 0x7buy; 0xfcuy; 0xd1uy; 0x2buy; 0xc3uy; 0x21uy; 0xebuy; 0xe5uy; 0x1cuy; 0x84uy; 0x23uy; 0x7fuy; 0x4buy; 0xfauy; 0xdbuy; 0x34uy; 0x18uy; 0xa2uy; 0xc2uy; 0xe5uy; 0x13uy; 0xfeuy; 0x6cuy; 0x49uy; 0x81uy; 0xd2uy; 0x73uy; 0xe7uy; 0xe2uy; 0xd7uy; 0xe4uy; 0x4fuy; 0x4buy; 0x08uy; 0x6euy; 0xb1uy; 0x12uy; 0x22uy; 0x10uy; 0x9duy; 0xacuy; 0x51uy; 0x1euy; 0x17uy; 0xd9uy; 0x8auy; 0x0buy; 0x42uy; 0x88uy; 0x16uy; 0x81uy; 0x37uy; 0x7cuy; 0x6auy; 0xf7uy; 0xefuy; 0x2duy; 0xe3uy; 0xd9uy; 0xf8uy; 0x5fuy; 0xe0uy; 0x53uy; 0x27uy; 0x74uy; 0xb9uy; 0xe2uy; 0xd6uy; 0x1cuy; 0x80uy; 0x2cuy; 0x52uy; 0x65uy; ] in assert_norm (List.Tot.length l = 513); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input8_len: (x:UInt32.t { UInt32.v x = B.length input8 }) = 513ul let output8: (b: B.buffer UInt8.t { B.length b = 529 /\ B.recallable b }) = [@inline_let] let l = [ 0xfduy; 0x81uy; 0x8duy; 0xd0uy; 0x3duy; 0xb4uy; 0xd5uy; 0xdfuy; 0xd3uy; 0x42uy; 0x47uy; 0x5auy; 0x6duy; 0x19uy; 0x27uy; 0x66uy; 0x4buy; 0x2euy; 0x0cuy; 0x27uy; 0x9cuy; 0x96uy; 0x4cuy; 0x72uy; 0x02uy; 0xa3uy; 0x65uy; 0xc3uy; 0xb3uy; 0x6fuy; 0x2euy; 0xbduy; 0x63uy; 0x8auy; 0x4auy; 0x5duy; 0x29uy; 0xa2uy; 0xd0uy; 0x28uy; 0x48uy; 0xc5uy; 0x3duy; 0x98uy; 0xa3uy; 0xbcuy; 0xe0uy; 0xbeuy; 0x3buy; 0x3fuy; 0xe6uy; 0x8auy; 0xa4uy; 0x7fuy; 0x53uy; 0x06uy; 0xfauy; 0x7fuy; 0x27uy; 0x76uy; 0x72uy; 0x31uy; 0xa1uy; 0xf5uy; 0xd6uy; 0x0cuy; 0x52uy; 0x47uy; 0xbauy; 0xcduy; 0x4fuy; 0xd7uy; 0xebuy; 0x05uy; 0x48uy; 0x0duy; 0x7cuy; 0x35uy; 0x4auy; 0x09uy; 0xc9uy; 0x76uy; 0x71uy; 0x02uy; 0xa3uy; 0xfbuy; 0xb7uy; 0x1auy; 0x65uy; 0xb7uy; 0xeduy; 0x98uy; 0xc6uy; 0x30uy; 0x8auy; 0x00uy; 0xaeuy; 0xa1uy; 0x31uy; 0xe5uy; 0xb5uy; 0x9euy; 0x6duy; 0x62uy; 0xdauy; 0xdauy; 0x07uy; 0x0fuy; 0x38uy; 0x38uy; 0xd3uy; 0xcbuy; 0xc1uy; 0xb0uy; 0xaduy; 0xecuy; 0x72uy; 0xecuy; 0xb1uy; 0xa2uy; 0x7buy; 0x59uy; 0xf3uy; 0x3duy; 0x2buy; 0xefuy; 0xcduy; 0x28uy; 0x5buy; 0x83uy; 0xccuy; 0x18uy; 0x91uy; 0x88uy; 0xb0uy; 0x2euy; 0xf9uy; 0x29uy; 0x31uy; 0x18uy; 0xf9uy; 0x4euy; 0xe9uy; 0x0auy; 0x91uy; 0x92uy; 0x9fuy; 0xaeuy; 0x2duy; 0xaduy; 0xf4uy; 0xe6uy; 0x1auy; 0xe2uy; 0xa4uy; 0xeeuy; 0x47uy; 0x15uy; 0xbfuy; 0x83uy; 0x6euy; 0xd7uy; 0x72uy; 0x12uy; 0x3buy; 0x2duy; 0x24uy; 0xe9uy; 0xb2uy; 0x55uy; 0xcbuy; 0x3cuy; 0x10uy; 0xf0uy; 0x24uy; 0x8auy; 0x4auy; 0x02uy; 0xeauy; 0x90uy; 0x25uy; 0xf0uy; 0xb4uy; 0x79uy; 0x3auy; 0xefuy; 0x6euy; 0xf5uy; 0x52uy; 0xdfuy; 0xb0uy; 0x0auy; 0xcduy; 0x24uy; 0x1cuy; 0xd3uy; 0x2euy; 0x22uy; 0x74uy; 0xeauy; 0x21uy; 0x6fuy; 0xe9uy; 0xbduy; 0xc8uy; 0x3euy; 0x36uy; 0x5buy; 0x19uy; 0xf1uy; 0xcauy; 0x99uy; 0x0auy; 0xb4uy; 0xa7uy; 0x52uy; 0x1auy; 0x4euy; 0xf2uy; 0xaduy; 0x8duy; 0x56uy; 0x85uy; 0xbbuy; 0x64uy; 0x89uy; 0xbauy; 0x26uy; 0xf9uy; 0xc7uy; 0xe1uy; 0x89uy; 0x19uy; 0x22uy; 0x77uy; 0xc3uy; 0xa8uy; 0xfcuy; 0xffuy; 0xaduy; 0xfeuy; 0xb9uy; 0x48uy; 0xaeuy; 0x12uy; 0x30uy; 0x9fuy; 0x19uy; 0xfbuy; 0x1buy; 0xefuy; 0x14uy; 0x87uy; 0x8auy; 0x78uy; 0x71uy; 0xf3uy; 0xf4uy; 0xb7uy; 0x00uy; 0x9cuy; 0x1duy; 0xb5uy; 0x3duy; 0x49uy; 0x00uy; 0x0cuy; 0x06uy; 0xd4uy; 0x50uy; 0xf9uy; 0x54uy; 0x45uy; 0xb2uy; 0x5buy; 0x43uy; 0xdbuy; 0x6duy; 0xcfuy; 0x1auy; 0xe9uy; 0x7auy; 0x7auy; 0xcfuy; 0xfcuy; 0x8auy; 0x4euy; 0x4duy; 0x0buy; 0x07uy; 0x63uy; 0x28uy; 0xd8uy; 0xe7uy; 0x08uy; 0x95uy; 0xdfuy; 0xa6uy; 0x72uy; 0x93uy; 0x2euy; 0xbbuy; 0xa0uy; 0x42uy; 0x89uy; 0x16uy; 0xf1uy; 0xd9uy; 0x0cuy; 0xf9uy; 0xa1uy; 0x16uy; 0xfduy; 0xd9uy; 0x03uy; 0xb4uy; 0x3buy; 0x8auy; 0xf5uy; 0xf6uy; 0xe7uy; 0x6buy; 0x2euy; 0x8euy; 0x4cuy; 0x3duy; 0xe2uy; 0xafuy; 0x08uy; 0x45uy; 0x03uy; 0xffuy; 0x09uy; 0xb6uy; 0xebuy; 0x2duy; 0xc6uy; 0x1buy; 0x88uy; 0x94uy; 0xacuy; 0x3euy; 0xf1uy; 0x9fuy; 0x0euy; 0x0euy; 0x2buy; 0xd5uy; 0x00uy; 0x4duy; 0x3fuy; 0x3buy; 0x53uy; 0xaeuy; 0xafuy; 0x1cuy; 0x33uy; 0x5fuy; 0x55uy; 0x6euy; 0x8duy; 0xafuy; 0x05uy; 0x7auy; 0x10uy; 0x34uy; 0xc9uy; 0xf4uy; 0x66uy; 0xcbuy; 0x62uy; 0x12uy; 0xa6uy; 0xeeuy; 0xe8uy; 0x1cuy; 0x5duy; 0x12uy; 0x86uy; 0xdbuy; 0x6fuy; 0x1cuy; 0x33uy; 0xc4uy; 0x1cuy; 0xdauy; 0x82uy; 0x2duy; 0x3buy; 0x59uy; 0xfeuy; 0xb1uy; 0xa4uy; 0x59uy; 0x41uy; 0x86uy; 0xd0uy; 0xefuy; 0xaeuy; 0xfbuy; 0xdauy; 0x6duy; 0x11uy; 0xb8uy; 0xcauy; 0xe9uy; 0x6euy; 0xffuy; 0xf7uy; 0xa9uy; 0xd9uy; 0x70uy; 0x30uy; 0xfcuy; 0x53uy; 0xe2uy; 0xd7uy; 0xa2uy; 0x4euy; 0xc7uy; 0x91uy; 0xd9uy; 0x07uy; 0x06uy; 0xaauy; 0xdduy; 0xb0uy; 0x59uy; 0x28uy; 0x1duy; 0x00uy; 0x66uy; 0xc5uy; 0x54uy; 0xc2uy; 0xfcuy; 0x06uy; 0xdauy; 0x05uy; 0x90uy; 0x52uy; 0x1duy; 0x37uy; 0x66uy; 0xeeuy; 0xf0uy; 0xb2uy; 0x55uy; 0x8auy; 0x5duy; 0xd2uy; 0x38uy; 0x86uy; 0x94uy; 0x9buy; 0xfcuy; 0x10uy; 0x4cuy; 0xa1uy; 0xb9uy; 0x64uy; 0x3euy; 0x44uy; 0xb8uy; 0x5fuy; 0xb0uy; 0x0cuy; 0xecuy; 0xe0uy; 0xc9uy; 0xe5uy; 0x62uy; 0x75uy; 0x3fuy; 0x09uy; 0xd5uy; 0xf5uy; 0xd9uy; 0x26uy; 0xbauy; 0x9euy; 0xd2uy; 0xf4uy; 0xb9uy; 0x48uy; 0x0auy; 0xbcuy; 0xa2uy; 0xd6uy; 0x7cuy; 0x36uy; 0x11uy; 0x7duy; 0x26uy; 0x81uy; 0x89uy; 0xcfuy; 0xa4uy; 0xaduy; 0x73uy; 0x0euy; 0xeeuy; 0xccuy; 0x06uy; 0xa9uy; 0xdbuy; 0xb1uy; 0xfduy; 0xfbuy; 0x09uy; 0x7fuy; 0x90uy; 0x42uy; 0x37uy; 0x2fuy; 0xe1uy; 0x9cuy; 0x0fuy; 0x6fuy; 0xcfuy; 0x43uy; 0xb5uy; 0xd9uy; 0x90uy; 0xe1uy; 0x85uy; 0xf5uy; 0xa8uy; 0xaeuy; ] in assert_norm (List.Tot.length l = 529); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output8_len: (x:UInt32.t { UInt32.v x = B.length output8 }) = 529ul let key9: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x47uy; 0x11uy; 0xebuy; 0x86uy; 0x2buy; 0x2cuy; 0xabuy; 0x44uy; 0x34uy; 0xdauy; 0x7fuy; 0x57uy; 0x03uy; 0x39uy; 0x0cuy; 0xafuy; 0x2cuy; 0x14uy; 0xfduy; 0x65uy; 0x23uy; 0xe9uy; 0x8euy; 0x74uy; 0xd5uy; 0x08uy; 0x68uy; 0x08uy; 0xe7uy; 0xb4uy; 0x72uy; 0xd7uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key9_len: (x:UInt32.t { UInt32.v x = B.length key9 }) = 32ul let nonce9: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdbuy; 0x92uy; 0x0fuy; 0x7fuy; 0x17uy; 0x54uy; 0x0cuy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce9_len: (x:UInt32.t { UInt32.v x = B.length nonce9 }) = 12ul let aad9: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xd2uy; 0xa1uy; 0x70uy; 0xdbuy; 0x7auy; 0xf8uy; 0xfauy; 0x27uy; 0xbauy; 0x73uy; 0x0fuy; 0xbfuy; 0x3duy; 0x1euy; 0x82uy; 0xb2uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad9_len: (x:UInt32.t { UInt32.v x = B.length aad9 }) = 16ul let input9: (b: B.buffer UInt8.t { B.length b = 1024 /\ B.recallable b /\ B.disjoint b aad9 }) = B.recall aad9;[@inline_let] let l = [ 0x42uy; 0x93uy; 0xe4uy; 0xebuy; 0x97uy; 0xb0uy; 0x57uy; 0xbfuy; 0x1auy; 0x8buy; 0x1fuy; 0xe4uy; 0x5fuy; 0x36uy; 0x20uy; 0x3cuy; 0xefuy; 0x0auy; 0xa9uy; 0x48uy; 0x5fuy; 0x5fuy; 0x37uy; 0x22uy; 0x3auy; 0xdeuy; 0xe3uy; 0xaeuy; 0xbeuy; 0xaduy; 0x07uy; 0xccuy; 0xb1uy; 0xf6uy; 0xf5uy; 0xf9uy; 0x56uy; 0xdduy; 0xe7uy; 0x16uy; 0x1euy; 0x7fuy; 0xdfuy; 0x7auy; 0x9euy; 0x75uy; 0xb7uy; 0xc7uy; 0xbeuy; 0xbeuy; 0x8auy; 0x36uy; 0x04uy; 0xc0uy; 0x10uy; 0xf4uy; 0x95uy; 0x20uy; 0x03uy; 0xecuy; 0xdcuy; 0x05uy; 0xa1uy; 0x7duy; 0xc4uy; 0xa9uy; 0x2cuy; 0x82uy; 0xd0uy; 0xbcuy; 0x8buy; 0xc5uy; 0xc7uy; 0x45uy; 0x50uy; 0xf6uy; 0xa2uy; 0x1auy; 0xb5uy; 0x46uy; 0x3buy; 0x73uy; 0x02uy; 0xa6uy; 0x83uy; 0x4buy; 0x73uy; 0x82uy; 0x58uy; 0x5euy; 0x3buy; 0x65uy; 0x2fuy; 0x0euy; 0xfduy; 0x2buy; 0x59uy; 0x16uy; 0xceuy; 0xa1uy; 0x60uy; 0x9cuy; 0xe8uy; 0x3auy; 0x99uy; 0xeduy; 0x8duy; 0x5auy; 0xcfuy; 0xf6uy; 0x83uy; 0xafuy; 0xbauy; 0xd7uy; 0x73uy; 0x73uy; 0x40uy; 0x97uy; 0x3duy; 0xcauy; 0xefuy; 0x07uy; 0x57uy; 0xe6uy; 0xd9uy; 0x70uy; 0x0euy; 0x95uy; 0xaeuy; 0xa6uy; 0x8duy; 0x04uy; 0xccuy; 0xeeuy; 0xf7uy; 0x09uy; 0x31uy; 0x77uy; 0x12uy; 0xa3uy; 0x23uy; 0x97uy; 0x62uy; 0xb3uy; 0x7buy; 0x32uy; 0xfbuy; 0x80uy; 0x14uy; 0x48uy; 0x81uy; 0xc3uy; 0xe5uy; 0xeauy; 0x91uy; 0x39uy; 0x52uy; 0x81uy; 0xa2uy; 0x4fuy; 0xe4uy; 0xb3uy; 0x09uy; 0xffuy; 0xdeuy; 0x5euy; 0xe9uy; 0x58uy; 0x84uy; 0x6euy; 0xf9uy; 0x3duy; 0xdfuy; 0x25uy; 0xeauy; 0xaduy; 0xaeuy; 0xe6uy; 0x9auy; 0xd1uy; 0x89uy; 0x55uy; 0xd3uy; 0xdeuy; 0x6cuy; 0x52uy; 0xdbuy; 0x70uy; 0xfeuy; 0x37uy; 0xceuy; 0x44uy; 0x0auy; 0xa8uy; 0x25uy; 0x5fuy; 0x92uy; 0xc1uy; 0x33uy; 0x4auy; 0x4fuy; 0x9buy; 0x62uy; 0x35uy; 0xffuy; 0xceuy; 0xc0uy; 0xa9uy; 0x60uy; 0xceuy; 0x52uy; 0x00uy; 0x97uy; 0x51uy; 0x35uy; 0x26uy; 0x2euy; 0xb9uy; 0x36uy; 0xa9uy; 0x87uy; 0x6euy; 0x1euy; 0xccuy; 0x91uy; 0x78uy; 0x53uy; 0x98uy; 0x86uy; 0x5buy; 0x9cuy; 0x74uy; 0x7duy; 0x88uy; 0x33uy; 0xe1uy; 0xdfuy; 0x37uy; 0x69uy; 0x2buy; 0xbbuy; 0xf1uy; 0x4duy; 0xf4uy; 0xd1uy; 0xf1uy; 0x39uy; 0x93uy; 0x17uy; 0x51uy; 0x19uy; 0xe3uy; 0x19uy; 0x1euy; 0x76uy; 0x37uy; 0x25uy; 0xfbuy; 0x09uy; 0x27uy; 0x6auy; 0xabuy; 0x67uy; 0x6fuy; 0x14uy; 0x12uy; 0x64uy; 0xe7uy; 0xc4uy; 0x07uy; 0xdfuy; 0x4duy; 0x17uy; 0xbbuy; 0x6duy; 0xe0uy; 0xe9uy; 0xb9uy; 0xabuy; 0xcauy; 0x10uy; 0x68uy; 0xafuy; 0x7euy; 0xb7uy; 0x33uy; 0x54uy; 0x73uy; 0x07uy; 0x6euy; 0xf7uy; 0x81uy; 0x97uy; 0x9cuy; 0x05uy; 0x6fuy; 0x84uy; 0x5fuy; 0xd2uy; 0x42uy; 0xfbuy; 0x38uy; 0xcfuy; 0xd1uy; 0x2fuy; 0x14uy; 0x30uy; 0x88uy; 0x98uy; 0x4duy; 0x5auy; 0xa9uy; 0x76uy; 0xd5uy; 0x4fuy; 0x3euy; 0x70uy; 0x6cuy; 0x85uy; 0x76uy; 0xd7uy; 0x01uy; 0xa0uy; 0x1auy; 0xc8uy; 0x4euy; 0xaauy; 0xacuy; 0x78uy; 0xfeuy; 0x46uy; 0xdeuy; 0x6auy; 0x05uy; 0x46uy; 0xa7uy; 0x43uy; 0x0cuy; 0xb9uy; 0xdeuy; 0xb9uy; 0x68uy; 0xfbuy; 0xceuy; 0x42uy; 0x99uy; 0x07uy; 0x4duy; 0x0buy; 0x3buy; 0x5auy; 0x30uy; 0x35uy; 0xa8uy; 0xf9uy; 0x3auy; 0x73uy; 0xefuy; 0x0fuy; 0xdbuy; 0x1euy; 0x16uy; 0x42uy; 0xc4uy; 0xbauy; 0xaeuy; 0x58uy; 0xaauy; 0xf8uy; 0xe5uy; 0x75uy; 0x2fuy; 0x1buy; 0x15uy; 0x5cuy; 0xfduy; 0x0auy; 0x97uy; 0xd0uy; 0xe4uy; 0x37uy; 0x83uy; 0x61uy; 0x5fuy; 0x43uy; 0xa6uy; 0xc7uy; 0x3fuy; 0x38uy; 0x59uy; 0xe6uy; 0xebuy; 0xa3uy; 0x90uy; 0xc3uy; 0xaauy; 0xaauy; 0x5auy; 0xd3uy; 0x34uy; 0xd4uy; 0x17uy; 0xc8uy; 0x65uy; 0x3euy; 0x57uy; 0xbcuy; 0x5euy; 0xdduy; 0x9euy; 0xb7uy; 0xf0uy; 0x2euy; 0x5buy; 0xb2uy; 0x1fuy; 0x8auy; 0x08uy; 0x0duy; 0x45uy; 0x91uy; 0x0buy; 0x29uy; 0x53uy; 0x4fuy; 0x4cuy; 0x5auy; 0x73uy; 0x56uy; 0xfeuy; 0xafuy; 0x41uy; 0x01uy; 0x39uy; 0x0auy; 0x24uy; 0x3cuy; 0x7euy; 0xbeuy; 0x4euy; 0x53uy; 0xf3uy; 0xebuy; 0x06uy; 0x66uy; 0x51uy; 0x28uy; 0x1duy; 0xbduy; 0x41uy; 0x0auy; 0x01uy; 0xabuy; 0x16uy; 0x47uy; 0x27uy; 0x47uy; 0x47uy; 0xf7uy; 0xcbuy; 0x46uy; 0x0auy; 0x70uy; 0x9euy; 0x01uy; 0x9cuy; 0x09uy; 0xe1uy; 0x2auy; 0x00uy; 0x1auy; 0xd8uy; 0xd4uy; 0x79uy; 0x9duy; 0x80uy; 0x15uy; 0x8euy; 0x53uy; 0x2auy; 0x65uy; 0x83uy; 0x78uy; 0x3euy; 0x03uy; 0x00uy; 0x07uy; 0x12uy; 0x1fuy; 0x33uy; 0x3euy; 0x7buy; 0x13uy; 0x37uy; 0xf1uy; 0xc3uy; 0xefuy; 0xb7uy; 0xc1uy; 0x20uy; 0x3cuy; 0x3euy; 0x67uy; 0x66uy; 0x5duy; 0x88uy; 0xa7uy; 0x7duy; 0x33uy; 0x50uy; 0x77uy; 0xb0uy; 0x28uy; 0x8euy; 0xe7uy; 0x2cuy; 0x2euy; 0x7auy; 0xf4uy; 0x3cuy; 0x8duy; 0x74uy; 0x83uy; 0xafuy; 0x8euy; 0x87uy; 0x0fuy; 0xe4uy; 0x50uy; 0xffuy; 0x84uy; 0x5cuy; 0x47uy; 0x0cuy; 0x6auy; 0x49uy; 0xbfuy; 0x42uy; 0x86uy; 0x77uy; 0x15uy; 0x48uy; 0xa5uy; 0x90uy; 0x5duy; 0x93uy; 0xd6uy; 0x2auy; 0x11uy; 0xd5uy; 0xd5uy; 0x11uy; 0xaauy; 0xceuy; 0xe7uy; 0x6fuy; 0xa5uy; 0xb0uy; 0x09uy; 0x2cuy; 0x8duy; 0xd3uy; 0x92uy; 0xf0uy; 0x5auy; 0x2auy; 0xdauy; 0x5buy; 0x1euy; 0xd5uy; 0x9auy; 0xc4uy; 0xc4uy; 0xf3uy; 0x49uy; 0x74uy; 0x41uy; 0xcauy; 0xe8uy; 0xc1uy; 0xf8uy; 0x44uy; 0xd6uy; 0x3cuy; 0xaeuy; 0x6cuy; 0x1duy; 0x9auy; 0x30uy; 0x04uy; 0x4duy; 0x27uy; 0x0euy; 0xb1uy; 0x5fuy; 0x59uy; 0xa2uy; 0x24uy; 0xe8uy; 0xe1uy; 0x98uy; 0xc5uy; 0x6auy; 0x4cuy; 0xfeuy; 0x41uy; 0xd2uy; 0x27uy; 0x42uy; 0x52uy; 0xe1uy; 0xe9uy; 0x7duy; 0x62uy; 0xe4uy; 0x88uy; 0x0fuy; 0xaduy; 0xb2uy; 0x70uy; 0xcbuy; 0x9duy; 0x4cuy; 0x27uy; 0x2euy; 0x76uy; 0x1euy; 0x1auy; 0x63uy; 0x65uy; 0xf5uy; 0x3buy; 0xf8uy; 0x57uy; 0x69uy; 0xebuy; 0x5buy; 0x38uy; 0x26uy; 0x39uy; 0x33uy; 0x25uy; 0x45uy; 0x3euy; 0x91uy; 0xb8uy; 0xd8uy; 0xc7uy; 0xd5uy; 0x42uy; 0xc0uy; 0x22uy; 0x31uy; 0x74uy; 0xf4uy; 0xbcuy; 0x0cuy; 0x23uy; 0xf1uy; 0xcauy; 0xc1uy; 0x8duy; 0xd7uy; 0xbeuy; 0xc9uy; 0x62uy; 0xe4uy; 0x08uy; 0x1auy; 0xcfuy; 0x36uy; 0xd5uy; 0xfeuy; 0x55uy; 0x21uy; 0x59uy; 0x91uy; 0x87uy; 0x87uy; 0xdfuy; 0x06uy; 0xdbuy; 0xdfuy; 0x96uy; 0x45uy; 0x58uy; 0xdauy; 0x05uy; 0xcduy; 0x50uy; 0x4duy; 0xd2uy; 0x7duy; 0x05uy; 0x18uy; 0x73uy; 0x6auy; 0x8duy; 0x11uy; 0x85uy; 0xa6uy; 0x88uy; 0xe8uy; 0xdauy; 0xe6uy; 0x30uy; 0x33uy; 0xa4uy; 0x89uy; 0x31uy; 0x75uy; 0xbeuy; 0x69uy; 0x43uy; 0x84uy; 0x43uy; 0x50uy; 0x87uy; 0xdduy; 0x71uy; 0x36uy; 0x83uy; 0xc3uy; 0x78uy; 0x74uy; 0x24uy; 0x0auy; 0xeduy; 0x7buy; 0xdbuy; 0xa4uy; 0x24uy; 0x0buy; 0xb9uy; 0x7euy; 0x5duy; 0xffuy; 0xdeuy; 0xb1uy; 0xefuy; 0x61uy; 0x5auy; 0x45uy; 0x33uy; 0xf6uy; 0x17uy; 0x07uy; 0x08uy; 0x98uy; 0x83uy; 0x92uy; 0x0fuy; 0x23uy; 0x6duy; 0xe6uy; 0xaauy; 0x17uy; 0x54uy; 0xaduy; 0x6auy; 0xc8uy; 0xdbuy; 0x26uy; 0xbeuy; 0xb8uy; 0xb6uy; 0x08uy; 0xfauy; 0x68uy; 0xf1uy; 0xd7uy; 0x79uy; 0x6fuy; 0x18uy; 0xb4uy; 0x9euy; 0x2duy; 0x3fuy; 0x1buy; 0x64uy; 0xafuy; 0x8duy; 0x06uy; 0x0euy; 0x49uy; 0x28uy; 0xe0uy; 0x5duy; 0x45uy; 0x68uy; 0x13uy; 0x87uy; 0xfauy; 0xdeuy; 0x40uy; 0x7buy; 0xd2uy; 0xc3uy; 0x94uy; 0xd5uy; 0xe1uy; 0xd9uy; 0xc2uy; 0xafuy; 0x55uy; 0x89uy; 0xebuy; 0xb4uy; 0x12uy; 0x59uy; 0xa8uy; 0xd4uy; 0xc5uy; 0x29uy; 0x66uy; 0x38uy; 0xe6uy; 0xacuy; 0x22uy; 0x22uy; 0xd9uy; 0x64uy; 0x9buy; 0x34uy; 0x0auy; 0x32uy; 0x9fuy; 0xc2uy; 0xbfuy; 0x17uy; 0x6cuy; 0x3fuy; 0x71uy; 0x7auy; 0x38uy; 0x6buy; 0x98uy; 0xfbuy; 0x49uy; 0x36uy; 0x89uy; 0xc9uy; 0xe2uy; 0xd6uy; 0xc7uy; 0x5duy; 0xd0uy; 0x69uy; 0x5fuy; 0x23uy; 0x35uy; 0xc9uy; 0x30uy; 0xe2uy; 0xfduy; 0x44uy; 0x58uy; 0x39uy; 0xd7uy; 0x97uy; 0xfbuy; 0x5cuy; 0x00uy; 0xd5uy; 0x4fuy; 0x7auy; 0x1auy; 0x95uy; 0x8buy; 0x62uy; 0x4buy; 0xceuy; 0xe5uy; 0x91uy; 0x21uy; 0x7buy; 0x30uy; 0x00uy; 0xd6uy; 0xdduy; 0x6duy; 0x02uy; 0x86uy; 0x49uy; 0x0fuy; 0x3cuy; 0x1auy; 0x27uy; 0x3cuy; 0xd3uy; 0x0euy; 0x71uy; 0xf2uy; 0xffuy; 0xf5uy; 0x2fuy; 0x87uy; 0xacuy; 0x67uy; 0x59uy; 0x81uy; 0xa3uy; 0xf7uy; 0xf8uy; 0xd6uy; 0x11uy; 0x0cuy; 0x84uy; 0xa9uy; 0x03uy; 0xeeuy; 0x2auy; 0xc4uy; 0xf3uy; 0x22uy; 0xabuy; 0x7cuy; 0xe2uy; 0x25uy; 0xf5uy; 0x67uy; 0xa3uy; 0xe4uy; 0x11uy; 0xe0uy; 0x59uy; 0xb3uy; 0xcauy; 0x87uy; 0xa0uy; 0xaeuy; 0xc9uy; 0xa6uy; 0x62uy; 0x1buy; 0x6euy; 0x4duy; 0x02uy; 0x6buy; 0x07uy; 0x9duy; 0xfduy; 0xd0uy; 0x92uy; 0x06uy; 0xe1uy; 0xb2uy; 0x9auy; 0x4auy; 0x1fuy; 0x1fuy; 0x13uy; 0x49uy; 0x99uy; 0x97uy; 0x08uy; 0xdeuy; 0x7fuy; 0x98uy; 0xafuy; 0x51uy; 0x98uy; 0xeeuy; 0x2cuy; 0xcbuy; 0xf0uy; 0x0buy; 0xc6uy; 0xb6uy; 0xb7uy; 0x2duy; 0x9auy; 0xb1uy; 0xacuy; 0xa6uy; 0xe3uy; 0x15uy; 0x77uy; 0x9duy; 0x6buy; 0x1auy; 0xe4uy; 0xfcuy; 0x8buy; 0xf2uy; 0x17uy; 0x59uy; 0x08uy; 0x04uy; 0x58uy; 0x81uy; 0x9duy; 0x1buy; 0x1buy; 0x69uy; 0x55uy; 0xc2uy; 0xb4uy; 0x3cuy; 0x1fuy; 0x50uy; 0xf1uy; 0x7fuy; 0x77uy; 0x90uy; 0x4cuy; 0x66uy; 0x40uy; 0x5auy; 0xc0uy; 0x33uy; 0x1fuy; 0xcbuy; 0x05uy; 0x6duy; 0x5cuy; 0x06uy; 0x87uy; 0x52uy; 0xa2uy; 0x8fuy; 0x26uy; 0xd5uy; 0x4fuy; ] in assert_norm (List.Tot.length l = 1024); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input9_len: (x:UInt32.t { UInt32.v x = B.length input9 }) = 1024ul let output9: (b: B.buffer UInt8.t { B.length b = 1040 /\ B.recallable b }) = [@inline_let] let l = [ 0xe5uy; 0x26uy; 0xa4uy; 0x3duy; 0xbduy; 0x33uy; 0xd0uy; 0x4buy; 0x6fuy; 0x05uy; 0xa7uy; 0x6euy; 0x12uy; 0x7auy; 0xd2uy; 0x74uy; 0xa6uy; 0xdduy; 0xbduy; 0x95uy; 0xebuy; 0xf9uy; 0xa4uy; 0xf1uy; 0x59uy; 0x93uy; 0x91uy; 0x70uy; 0xd9uy; 0xfeuy; 0x9auy; 0xcduy; 0x53uy; 0x1fuy; 0x3auy; 0xabuy; 0xa6uy; 0x7cuy; 0x9fuy; 0xa6uy; 0x9euy; 0xbduy; 0x99uy; 0xd9uy; 0xb5uy; 0x97uy; 0x44uy; 0xd5uy; 0x14uy; 0x48uy; 0x4duy; 0x9duy; 0xc0uy; 0xd0uy; 0x05uy; 0x96uy; 0xebuy; 0x4cuy; 0x78uy; 0x55uy; 0x09uy; 0x08uy; 0x01uy; 0x02uy; 0x30uy; 0x90uy; 0x7buy; 0x96uy; 0x7auy; 0x7buy; 0x5fuy; 0x30uy; 0x41uy; 0x24uy; 0xceuy; 0x68uy; 0x61uy; 0x49uy; 0x86uy; 0x57uy; 0x82uy; 0xdduy; 0x53uy; 0x1cuy; 0x51uy; 0x28uy; 0x2buy; 0x53uy; 0x6euy; 0x2duy; 0xc2uy; 0x20uy; 0x4cuy; 0xdduy; 0x8fuy; 0x65uy; 0x10uy; 0x20uy; 0x50uy; 0xdduy; 0x9duy; 0x50uy; 0xe5uy; 0x71uy; 0x40uy; 0x53uy; 0x69uy; 0xfcuy; 0x77uy; 0x48uy; 0x11uy; 0xb9uy; 0xdeuy; 0xa4uy; 0x8duy; 0x58uy; 0xe4uy; 0xa6uy; 0x1auy; 0x18uy; 0x47uy; 0x81uy; 0x7euy; 0xfcuy; 0xdduy; 0xf6uy; 0xefuy; 0xceuy; 0x2fuy; 0x43uy; 0x68uy; 0xd6uy; 0x06uy; 0xe2uy; 0x74uy; 0x6auy; 0xaduy; 0x90uy; 0xf5uy; 0x37uy; 0xf3uy; 0x3duy; 0x82uy; 0x69uy; 0x40uy; 0xe9uy; 0x6buy; 0xa7uy; 0x3duy; 0xa8uy; 0x1euy; 0xd2uy; 0x02uy; 0x7cuy; 0xb7uy; 0x9buy; 0xe4uy; 0xdauy; 0x8fuy; 0x95uy; 0x06uy; 0xc5uy; 0xdfuy; 0x73uy; 0xa3uy; 0x20uy; 0x9auy; 0x49uy; 0xdeuy; 0x9cuy; 0xbcuy; 0xeeuy; 0x14uy; 0x3fuy; 0x81uy; 0x5euy; 0xf8uy; 0x3buy; 0x59uy; 0x3cuy; 0xe1uy; 0x68uy; 0x12uy; 0x5auy; 0x3auy; 0x76uy; 0x3auy; 0x3fuy; 0xf7uy; 0x87uy; 0x33uy; 0x0auy; 0x01uy; 0xb8uy; 0xd4uy; 0xeduy; 0xb6uy; 0xbeuy; 0x94uy; 0x5euy; 0x70uy; 0x40uy; 0x56uy; 0x67uy; 0x1fuy; 0x50uy; 0x44uy; 0x19uy; 0xceuy; 0x82uy; 0x70uy; 0x10uy; 0x87uy; 0x13uy; 0x20uy; 0x0buy; 0x4cuy; 0x5auy; 0xb6uy; 0xf6uy; 0xa7uy; 0xaeuy; 0x81uy; 0x75uy; 0x01uy; 0x81uy; 0xe6uy; 0x4buy; 0x57uy; 0x7cuy; 0xdduy; 0x6duy; 0xf8uy; 0x1cuy; 0x29uy; 0x32uy; 0xf7uy; 0xdauy; 0x3cuy; 0x2duy; 0xf8uy; 0x9buy; 0x25uy; 0x6euy; 0x00uy; 0xb4uy; 0xf7uy; 0x2fuy; 0xf7uy; 0x04uy; 0xf7uy; 0xa1uy; 0x56uy; 0xacuy; 0x4fuy; 0x1auy; 0x64uy; 0xb8uy; 0x47uy; 0x55uy; 0x18uy; 0x7buy; 0x07uy; 0x4duy; 0xbduy; 0x47uy; 0x24uy; 0x80uy; 0x5duy; 0xa2uy; 0x70uy; 0xc5uy; 0xdduy; 0x8euy; 0x82uy; 0xd4uy; 0xebuy; 0xecuy; 0xb2uy; 0x0cuy; 0x39uy; 0xd2uy; 0x97uy; 0xc1uy; 0xcbuy; 0xebuy; 0xf4uy; 0x77uy; 0x59uy; 0xb4uy; 0x87uy; 0xefuy; 0xcbuy; 0x43uy; 0x2duy; 0x46uy; 0x54uy; 0xd1uy; 0xa7uy; 0xd7uy; 0x15uy; 0x99uy; 0x0auy; 0x43uy; 0xa1uy; 0xe0uy; 0x99uy; 0x33uy; 0x71uy; 0xc1uy; 0xeduy; 0xfeuy; 0x72uy; 0x46uy; 0x33uy; 0x8euy; 0x91uy; 0x08uy; 0x9fuy; 0xc8uy; 0x2euy; 0xcauy; 0xfauy; 0xdcuy; 0x59uy; 0xd5uy; 0xc3uy; 0x76uy; 0x84uy; 0x9fuy; 0xa3uy; 0x37uy; 0x68uy; 0xc3uy; 0xf0uy; 0x47uy; 0x2cuy; 0x68uy; 0xdbuy; 0x5euy; 0xc3uy; 0x49uy; 0x4cuy; 0xe8uy; 0x92uy; 0x85uy; 0xe2uy; 0x23uy; 0xd3uy; 0x3fuy; 0xaduy; 0x32uy; 0xe5uy; 0x2buy; 0x82uy; 0xd7uy; 0x8fuy; 0x99uy; 0x0auy; 0x59uy; 0x5cuy; 0x45uy; 0xd9uy; 0xb4uy; 0x51uy; 0x52uy; 0xc2uy; 0xaeuy; 0xbfuy; 0x80uy; 0xcfuy; 0xc9uy; 0xc9uy; 0x51uy; 0x24uy; 0x2auy; 0x3buy; 0x3auy; 0x4duy; 0xaeuy; 0xebuy; 0xbduy; 0x22uy; 0xc3uy; 0x0euy; 0x0fuy; 0x59uy; 0x25uy; 0x92uy; 0x17uy; 0xe9uy; 0x74uy; 0xc7uy; 0x8buy; 0x70uy; 0x70uy; 0x36uy; 0x55uy; 0x95uy; 0x75uy; 0x4buy; 0xaduy; 0x61uy; 0x2buy; 0x09uy; 0xbcuy; 0x82uy; 0xf2uy; 0x6euy; 0x94uy; 0x43uy; 0xaeuy; 0xc3uy; 0xd5uy; 0xcduy; 0x8euy; 0xfeuy; 0x5buy; 0x9auy; 0x88uy; 0x43uy; 0x01uy; 0x75uy; 0xb2uy; 0x23uy; 0x09uy; 0xf7uy; 0x89uy; 0x83uy; 0xe7uy; 0xfauy; 0xf9uy; 0xb4uy; 0x9buy; 0xf8uy; 0xefuy; 0xbduy; 0x1cuy; 0x92uy; 0xc1uy; 0xdauy; 0x7euy; 0xfeuy; 0x05uy; 0xbauy; 0x5auy; 0xcduy; 0x07uy; 0x6auy; 0x78uy; 0x9euy; 0x5duy; 0xfbuy; 0x11uy; 0x2fuy; 0x79uy; 0x38uy; 0xb6uy; 0xc2uy; 0x5buy; 0x6buy; 0x51uy; 0xb4uy; 0x71uy; 0xdduy; 0xf7uy; 0x2auy; 0xe4uy; 0xf4uy; 0x72uy; 0x76uy; 0xaduy; 0xc2uy; 0xdduy; 0x64uy; 0x5duy; 0x79uy; 0xb6uy; 0xf5uy; 0x7auy; 0x77uy; 0x20uy; 0x05uy; 0x3duy; 0x30uy; 0x06uy; 0xd4uy; 0x4cuy; 0x0auy; 0x2cuy; 0x98uy; 0x5auy; 0xb9uy; 0xd4uy; 0x98uy; 0xa9uy; 0x3fuy; 0xc6uy; 0x12uy; 0xeauy; 0x3buy; 0x4buy; 0xc5uy; 0x79uy; 0x64uy; 0x63uy; 0x6buy; 0x09uy; 0x54uy; 0x3buy; 0x14uy; 0x27uy; 0xbauy; 0x99uy; 0x80uy; 0xc8uy; 0x72uy; 0xa8uy; 0x12uy; 0x90uy; 0x29uy; 0xbauy; 0x40uy; 0x54uy; 0x97uy; 0x2buy; 0x7buy; 0xfeuy; 0xebuy; 0xcduy; 0x01uy; 0x05uy; 0x44uy; 0x72uy; 0xdbuy; 0x99uy; 0xe4uy; 0x61uy; 0xc9uy; 0x69uy; 0xd6uy; 0xb9uy; 0x28uy; 0xd1uy; 0x05uy; 0x3euy; 0xf9uy; 0x0buy; 0x49uy; 0x0auy; 0x49uy; 0xe9uy; 0x8duy; 0x0euy; 0xa7uy; 0x4auy; 0x0fuy; 0xafuy; 0x32uy; 0xd0uy; 0xe0uy; 0xb2uy; 0x3auy; 0x55uy; 0x58uy; 0xfeuy; 0x5cuy; 0x28uy; 0x70uy; 0x51uy; 0x23uy; 0xb0uy; 0x7buy; 0x6auy; 0x5fuy; 0x1euy; 0xb8uy; 0x17uy; 0xd7uy; 0x94uy; 0x15uy; 0x8fuy; 0xeeuy; 0x20uy; 0xc7uy; 0x42uy; 0x25uy; 0x3euy; 0x9auy; 0x14uy; 0xd7uy; 0x60uy; 0x72uy; 0x39uy; 0x47uy; 0x48uy; 0xa9uy; 0xfeuy; 0xdduy; 0x47uy; 0x0auy; 0xb1uy; 0xe6uy; 0x60uy; 0x28uy; 0x8cuy; 0x11uy; 0x68uy; 0xe1uy; 0xffuy; 0xd7uy; 0xceuy; 0xc8uy; 0xbeuy; 0xb3uy; 0xfeuy; 0x27uy; 0x30uy; 0x09uy; 0x70uy; 0xd7uy; 0xfauy; 0x02uy; 0x33uy; 0x3auy; 0x61uy; 0x2euy; 0xc7uy; 0xffuy; 0xa4uy; 0x2auy; 0xa8uy; 0x6euy; 0xb4uy; 0x79uy; 0x35uy; 0x6duy; 0x4cuy; 0x1euy; 0x38uy; 0xf8uy; 0xeeuy; 0xd4uy; 0x84uy; 0x4euy; 0x6euy; 0x28uy; 0xa7uy; 0xceuy; 0xc8uy; 0xc1uy; 0xcfuy; 0x80uy; 0x05uy; 0xf3uy; 0x04uy; 0xefuy; 0xc8uy; 0x18uy; 0x28uy; 0x2euy; 0x8duy; 0x5euy; 0x0cuy; 0xdfuy; 0xb8uy; 0x5fuy; 0x96uy; 0xe8uy; 0xc6uy; 0x9cuy; 0x2fuy; 0xe5uy; 0xa6uy; 0x44uy; 0xd7uy; 0xe7uy; 0x99uy; 0x44uy; 0x0cuy; 0xecuy; 0xd7uy; 0x05uy; 0x60uy; 0x97uy; 0xbbuy; 0x74uy; 0x77uy; 0x58uy; 0xd5uy; 0xbbuy; 0x48uy; 0xdeuy; 0x5auy; 0xb2uy; 0x54uy; 0x7fuy; 0x0euy; 0x46uy; 0x70uy; 0x6auy; 0x6fuy; 0x78uy; 0xa5uy; 0x08uy; 0x89uy; 0x05uy; 0x4euy; 0x7euy; 0xa0uy; 0x69uy; 0xb4uy; 0x40uy; 0x60uy; 0x55uy; 0x77uy; 0x75uy; 0x9buy; 0x19uy; 0xf2uy; 0xd5uy; 0x13uy; 0x80uy; 0x77uy; 0xf9uy; 0x4buy; 0x3fuy; 0x1euy; 0xeeuy; 0xe6uy; 0x76uy; 0x84uy; 0x7buy; 0x8cuy; 0xe5uy; 0x27uy; 0xa8uy; 0x0auy; 0x91uy; 0x01uy; 0x68uy; 0x71uy; 0x8auy; 0x3fuy; 0x06uy; 0xabuy; 0xf6uy; 0xa9uy; 0xa5uy; 0xe6uy; 0x72uy; 0x92uy; 0xe4uy; 0x67uy; 0xe2uy; 0xa2uy; 0x46uy; 0x35uy; 0x84uy; 0x55uy; 0x7duy; 0xcauy; 0xa8uy; 0x85uy; 0xd0uy; 0xf1uy; 0x3fuy; 0xbeuy; 0xd7uy; 0x34uy; 0x64uy; 0xfcuy; 0xaeuy; 0xe3uy; 0xe4uy; 0x04uy; 0x9fuy; 0x66uy; 0x02uy; 0xb9uy; 0x88uy; 0x10uy; 0xd9uy; 0xc4uy; 0x4cuy; 0x31uy; 0x43uy; 0x7auy; 0x93uy; 0xe2uy; 0x9buy; 0x56uy; 0x43uy; 0x84uy; 0xdcuy; 0xdcuy; 0xdeuy; 0x1duy; 0xa4uy; 0x02uy; 0x0euy; 0xc2uy; 0xefuy; 0xc3uy; 0xf8uy; 0x78uy; 0xd1uy; 0xb2uy; 0x6buy; 0x63uy; 0x18uy; 0xc9uy; 0xa9uy; 0xe5uy; 0x72uy; 0xd8uy; 0xf3uy; 0xb9uy; 0xd1uy; 0x8auy; 0xc7uy; 0x1auy; 0x02uy; 0x27uy; 0x20uy; 0x77uy; 0x10uy; 0xe5uy; 0xc8uy; 0xd4uy; 0x4auy; 0x47uy; 0xe5uy; 0xdfuy; 0x5fuy; 0x01uy; 0xaauy; 0xb0uy; 0xd4uy; 0x10uy; 0xbbuy; 0x69uy; 0xe3uy; 0x36uy; 0xc8uy; 0xe1uy; 0x3duy; 0x43uy; 0xfbuy; 0x86uy; 0xcduy; 0xccuy; 0xbfuy; 0xf4uy; 0x88uy; 0xe0uy; 0x20uy; 0xcauy; 0xb7uy; 0x1buy; 0xf1uy; 0x2fuy; 0x5cuy; 0xeeuy; 0xd4uy; 0xd3uy; 0xa3uy; 0xccuy; 0xa4uy; 0x1euy; 0x1cuy; 0x47uy; 0xfbuy; 0xbfuy; 0xfcuy; 0xa2uy; 0x41uy; 0x55uy; 0x9duy; 0xf6uy; 0x5auy; 0x5euy; 0x65uy; 0x32uy; 0x34uy; 0x7buy; 0x52uy; 0x8duy; 0xd5uy; 0xd0uy; 0x20uy; 0x60uy; 0x03uy; 0xabuy; 0x3fuy; 0x8cuy; 0xd4uy; 0x21uy; 0xeauy; 0x2auy; 0xd9uy; 0xc4uy; 0xd0uy; 0xd3uy; 0x65uy; 0xd8uy; 0x7auy; 0x13uy; 0x28uy; 0x62uy; 0x32uy; 0x4buy; 0x2cuy; 0x87uy; 0x93uy; 0xa8uy; 0xb4uy; 0x52uy; 0x45uy; 0x09uy; 0x44uy; 0xecuy; 0xecuy; 0xc3uy; 0x17uy; 0xdbuy; 0x9auy; 0x4duy; 0x5cuy; 0xa9uy; 0x11uy; 0xd4uy; 0x7duy; 0xafuy; 0x9euy; 0xf1uy; 0x2duy; 0xb2uy; 0x66uy; 0xc5uy; 0x1duy; 0xeduy; 0xb7uy; 0xcduy; 0x0buy; 0x25uy; 0x5euy; 0x30uy; 0x47uy; 0x3fuy; 0x40uy; 0xf4uy; 0xa1uy; 0xa0uy; 0x00uy; 0x94uy; 0x10uy; 0xc5uy; 0x6auy; 0x63uy; 0x1auy; 0xd5uy; 0x88uy; 0x92uy; 0x8euy; 0x82uy; 0x39uy; 0x87uy; 0x3cuy; 0x78uy; 0x65uy; 0x58uy; 0x42uy; 0x75uy; 0x5buy; 0xdduy; 0x77uy; 0x3euy; 0x09uy; 0x4euy; 0x76uy; 0x5buy; 0xe6uy; 0x0euy; 0x4duy; 0x38uy; 0xb2uy; 0xc0uy; 0xb8uy; 0x95uy; 0x01uy; 0x7auy; 0x10uy; 0xe0uy; 0xfbuy; 0x07uy; 0xf2uy; 0xabuy; 0x2duy; 0x8cuy; 0x32uy; 0xeduy; 0x2buy; 0xc0uy; 0x46uy; 0xc2uy; 0xf5uy; 0x38uy; 0x83uy; 0xf0uy; 0x17uy; 0xecuy; 0xc1uy; 0x20uy; 0x6auy; 0x9auy; 0x0buy; 0x00uy; 0xa0uy; 0x98uy; 0x22uy; 0x50uy; 0x23uy; 0xd5uy; 0x80uy; 0x6buy; 0xf6uy; 0x1fuy; 0xc3uy; 0xccuy; 0x97uy; 0xc9uy; 0x24uy; 0x9fuy; 0xf3uy; 0xafuy; 0x43uy; 0x14uy; 0xd5uy; 0xa0uy; ] in assert_norm (List.Tot.length l = 1040); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output9_len: (x:UInt32.t { UInt32.v x = B.length output9 }) = 1040ul let key10: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x35uy; 0x4euy; 0xb5uy; 0x70uy; 0x50uy; 0x42uy; 0x8auy; 0x85uy; 0xf2uy; 0xfbuy; 0xeduy; 0x7buy; 0xd0uy; 0x9euy; 0x97uy; 0xcauy; 0xfauy; 0x98uy; 0x66uy; 0x63uy; 0xeeuy; 0x37uy; 0xccuy; 0x52uy; 0xfeuy; 0xd1uy; 0xdfuy; 0x95uy; 0x15uy; 0x34uy; 0x29uy; 0x38uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key10_len: (x:UInt32.t { UInt32.v x = B.length key10 }) = 32ul let nonce10: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xfduy; 0x87uy; 0xd4uy; 0xd8uy; 0x62uy; 0xfduy; 0xecuy; 0xaauy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce10_len: (x:UInt32.t { UInt32.v x = B.length nonce10 }) = 12ul let aad10: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0xd6uy; 0x31uy; 0xdauy; 0x5duy; 0x42uy; 0x5euy; 0xd7uy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad10_len: (x:UInt32.t { UInt32.v x = B.length aad10 }) = 7ul let input10: (b: B.buffer UInt8.t { B.length b = 1933 /\ B.recallable b /\ B.disjoint b aad10 }) = B.recall aad10;[@inline_let] let l = [ 0x7auy; 0x57uy; 0xf2uy; 0xc7uy; 0x06uy; 0x3fuy; 0x50uy; 0x7buy; 0x36uy; 0x1auy; 0x66uy; 0x5cuy; 0xb9uy; 0x0euy; 0x5euy; 0x3buy; 0x45uy; 0x60uy; 0xbeuy; 0x9auy; 0x31uy; 0x9fuy; 0xffuy; 0x5duy; 0x66uy; 0x34uy; 0xb4uy; 0xdcuy; 0xfbuy; 0x9duy; 0x8euy; 0xeeuy; 0x6auy; 0x33uy; 0xa4uy; 0x07uy; 0x3cuy; 0xf9uy; 0x4cuy; 0x30uy; 0xa1uy; 0x24uy; 0x52uy; 0xf9uy; 0x50uy; 0x46uy; 0x88uy; 0x20uy; 0x02uy; 0x32uy; 0x3auy; 0x0euy; 0x99uy; 0x63uy; 0xafuy; 0x1fuy; 0x15uy; 0x28uy; 0x2auy; 0x05uy; 0xffuy; 0x57uy; 0x59uy; 0x5euy; 0x18uy; 0xa1uy; 0x1fuy; 0xd0uy; 0x92uy; 0x5cuy; 0x88uy; 0x66uy; 0x1buy; 0x00uy; 0x64uy; 0xa5uy; 0x93uy; 0x8duy; 0x06uy; 0x46uy; 0xb0uy; 0x64uy; 0x8buy; 0x8buy; 0xefuy; 0x99uy; 0x05uy; 0x35uy; 0x85uy; 0xb3uy; 0xf3uy; 0x33uy; 0xbbuy; 0xecuy; 0x66uy; 0xb6uy; 0x3duy; 0x57uy; 0x42uy; 0xe3uy; 0xb4uy; 0xc6uy; 0xaauy; 0xb0uy; 0x41uy; 0x2auy; 0xb9uy; 0x59uy; 0xa9uy; 0xf6uy; 0x3euy; 0x15uy; 0x26uy; 0x12uy; 0x03uy; 0x21uy; 0x4cuy; 0x74uy; 0x43uy; 0x13uy; 0x2auy; 0x03uy; 0x27uy; 0x09uy; 0xb4uy; 0xfbuy; 0xe7uy; 0xb7uy; 0x40uy; 0xffuy; 0x5euy; 0xceuy; 0x48uy; 0x9auy; 0x60uy; 0xe3uy; 0x8buy; 0x80uy; 0x8cuy; 0x38uy; 0x2duy; 0xcbuy; 0x93uy; 0x37uy; 0x74uy; 0x05uy; 0x52uy; 0x6fuy; 0x73uy; 0x3euy; 0xc3uy; 0xbcuy; 0xcauy; 0x72uy; 0x0auy; 0xebuy; 0xf1uy; 0x3buy; 0xa0uy; 0x95uy; 0xdcuy; 0x8auy; 0xc4uy; 0xa9uy; 0xdcuy; 0xcauy; 0x44uy; 0xd8uy; 0x08uy; 0x63uy; 0x6auy; 0x36uy; 0xd3uy; 0x3cuy; 0xb8uy; 0xacuy; 0x46uy; 0x7duy; 0xfduy; 0xaauy; 0xebuy; 0x3euy; 0x0fuy; 0x45uy; 0x8fuy; 0x49uy; 0xdauy; 0x2buy; 0xf2uy; 0x12uy; 0xbduy; 0xafuy; 0x67uy; 0x8auy; 0x63uy; 0x48uy; 0x4buy; 0x55uy; 0x5fuy; 0x6duy; 0x8cuy; 0xb9uy; 0x76uy; 0x34uy; 0x84uy; 0xaeuy; 0xc2uy; 0xfcuy; 0x52uy; 0x64uy; 0x82uy; 0xf7uy; 0xb0uy; 0x06uy; 0xf0uy; 0x45uy; 0x73uy; 0x12uy; 0x50uy; 0x30uy; 0x72uy; 0xeauy; 0x78uy; 0x9auy; 0xa8uy; 0xafuy; 0xb5uy; 0xe3uy; 0xbbuy; 0x77uy; 0x52uy; 0xecuy; 0x59uy; 0x84uy; 0xbfuy; 0x6buy; 0x8fuy; 0xceuy; 0x86uy; 0x5euy; 0x1fuy; 0x23uy; 0xe9uy; 0xfbuy; 0x08uy; 0x86uy; 0xf7uy; 0x10uy; 0xb9uy; 0xf2uy; 0x44uy; 0x96uy; 0x44uy; 0x63uy; 0xa9uy; 0xa8uy; 0x78uy; 0x00uy; 0x23uy; 0xd6uy; 0xc7uy; 0xe7uy; 0x6euy; 0x66uy; 0x4fuy; 0xccuy; 0xeeuy; 0x15uy; 0xb3uy; 0xbduy; 0x1duy; 0xa0uy; 0xe5uy; 0x9cuy; 0x1buy; 0x24uy; 0x2cuy; 0x4duy; 0x3cuy; 0x62uy; 0x35uy; 0x9cuy; 0x88uy; 0x59uy; 0x09uy; 0xdduy; 0x82uy; 0x1buy; 0xcfuy; 0x0auy; 0x83uy; 0x6buy; 0x3fuy; 0xaeuy; 0x03uy; 0xc4uy; 0xb4uy; 0xdduy; 0x7euy; 0x5buy; 0x28uy; 0x76uy; 0x25uy; 0x96uy; 0xd9uy; 0xc9uy; 0x9duy; 0x5fuy; 0x86uy; 0xfauy; 0xf6uy; 0xd7uy; 0xd2uy; 0xe6uy; 0x76uy; 0x1duy; 0x0fuy; 0xa1uy; 0xdcuy; 0x74uy; 0x05uy; 0x1buy; 0x1duy; 0xe0uy; 0xcduy; 0x16uy; 0xb0uy; 0xa8uy; 0x8auy; 0x34uy; 0x7buy; 0x15uy; 0x11uy; 0x77uy; 0xe5uy; 0x7buy; 0x7euy; 0x20uy; 0xf7uy; 0xdauy; 0x38uy; 0xdauy; 0xceuy; 0x70uy; 0xe9uy; 0xf5uy; 0x6cuy; 0xd9uy; 0xbeuy; 0x0cuy; 0x4cuy; 0x95uy; 0x4cuy; 0xc2uy; 0x9buy; 0x34uy; 0x55uy; 0x55uy; 0xe1uy; 0xf3uy; 0x46uy; 0x8euy; 0x48uy; 0x74uy; 0x14uy; 0x4fuy; 0x9duy; 0xc9uy; 0xf5uy; 0xe8uy; 0x1auy; 0xf0uy; 0x11uy; 0x4auy; 0xc1uy; 0x8duy; 0xe0uy; 0x93uy; 0xa0uy; 0xbeuy; 0x09uy; 0x1cuy; 0x2buy; 0x4euy; 0x0fuy; 0xb2uy; 0x87uy; 0x8buy; 0x84uy; 0xfeuy; 0x92uy; 0x32uy; 0x14uy; 0xd7uy; 0x93uy; 0xdfuy; 0xe7uy; 0x44uy; 0xbcuy; 0xc5uy; 0xaeuy; 0x53uy; 0x69uy; 0xd8uy; 0xb3uy; 0x79uy; 0x37uy; 0x80uy; 0xe3uy; 0x17uy; 0x5cuy; 0xecuy; 0x53uy; 0x00uy; 0x9auy; 0xe3uy; 0x8euy; 0xdcuy; 0x38uy; 0xb8uy; 0x66uy; 0xf0uy; 0xd3uy; 0xaduy; 0x1duy; 0x02uy; 0x96uy; 0x86uy; 0x3euy; 0x9duy; 0x3buy; 0x5duy; 0xa5uy; 0x7fuy; 0x21uy; 0x10uy; 0xf1uy; 0x1fuy; 0x13uy; 0x20uy; 0xf9uy; 0x57uy; 0x87uy; 0x20uy; 0xf5uy; 0x5fuy; 0xf1uy; 0x17uy; 0x48uy; 0x0auy; 0x51uy; 0x5auy; 0xcduy; 0x19uy; 0x03uy; 0xa6uy; 0x5auy; 0xd1uy; 0x12uy; 0x97uy; 0xe9uy; 0x48uy; 0xe2uy; 0x1duy; 0x83uy; 0x75uy; 0x50uy; 0xd9uy; 0x75uy; 0x7duy; 0x6auy; 0x82uy; 0xa1uy; 0xf9uy; 0x4euy; 0x54uy; 0x87uy; 0x89uy; 0xc9uy; 0x0cuy; 0xb7uy; 0x5buy; 0x6auy; 0x91uy; 0xc1uy; 0x9cuy; 0xb2uy; 0xa9uy; 0xdcuy; 0x9auy; 0xa4uy; 0x49uy; 0x0auy; 0x6duy; 0x0duy; 0xbbuy; 0xdeuy; 0x86uy; 0x44uy; 0xdduy; 0x5duy; 0x89uy; 0x2buy; 0x96uy; 0x0fuy; 0x23uy; 0x95uy; 0xaduy; 0xccuy; 0xa2uy; 0xb3uy; 0xb9uy; 0x7euy; 0x74uy; 0x38uy; 0xbauy; 0x9fuy; 0x73uy; 0xaeuy; 0x5fuy; 0xf8uy; 0x68uy; 0xa2uy; 0xe0uy; 0xa9uy; 0xceuy; 0xbduy; 0x40uy; 0xd4uy; 0x4cuy; 0x6buy; 0xd2uy; 0x56uy; 0x62uy; 0xb0uy; 0xccuy; 0x63uy; 0x7euy; 0x5buy; 0xd3uy; 0xaeuy; 0xd1uy; 0x75uy; 0xceuy; 0xbbuy; 0xb4uy; 0x5buy; 0xa8uy; 0xf8uy; 0xb4uy; 0xacuy; 0x71uy; 0x75uy; 0xaauy; 0xc9uy; 0x9fuy; 0xbbuy; 0x6cuy; 0xaduy; 0x0fuy; 0x55uy; 0x5duy; 0xe8uy; 0x85uy; 0x7duy; 0xf9uy; 0x21uy; 0x35uy; 0xeauy; 0x92uy; 0x85uy; 0x2buy; 0x00uy; 0xecuy; 0x84uy; 0x90uy; 0x0auy; 0x63uy; 0x96uy; 0xe4uy; 0x6buy; 0xa9uy; 0x77uy; 0xb8uy; 0x91uy; 0xf8uy; 0x46uy; 0x15uy; 0x72uy; 0x63uy; 0x70uy; 0x01uy; 0x40uy; 0xa3uy; 0xa5uy; 0x76uy; 0x62uy; 0x2buy; 0xbfuy; 0xf1uy; 0xe5uy; 0x8duy; 0x9fuy; 0xa3uy; 0xfauy; 0x9buy; 0x03uy; 0xbeuy; 0xfeuy; 0x65uy; 0x6fuy; 0xa2uy; 0x29uy; 0x0duy; 0x54uy; 0xb4uy; 0x71uy; 0xceuy; 0xa9uy; 0xd6uy; 0x3duy; 0x88uy; 0xf9uy; 0xafuy; 0x6buy; 0xa8uy; 0x9euy; 0xf4uy; 0x16uy; 0x96uy; 0x36uy; 0xb9uy; 0x00uy; 0xdcuy; 0x10uy; 0xabuy; 0xb5uy; 0x08uy; 0x31uy; 0x1fuy; 0x00uy; 0xb1uy; 0x3cuy; 0xd9uy; 0x38uy; 0x3euy; 0xc6uy; 0x04uy; 0xa7uy; 0x4euy; 0xe8uy; 0xaeuy; 0xeduy; 0x98uy; 0xc2uy; 0xf7uy; 0xb9uy; 0x00uy; 0x5fuy; 0x8cuy; 0x60uy; 0xd1uy; 0xe5uy; 0x15uy; 0xf7uy; 0xaeuy; 0x1euy; 0x84uy; 0x88uy; 0xd1uy; 0xf6uy; 0xbcuy; 0x3auy; 0x89uy; 0x35uy; 0x22uy; 0x83uy; 0x7cuy; 0xcauy; 0xf0uy; 0x33uy; 0x82uy; 0x4cuy; 0x79uy; 0x3cuy; 0xfduy; 0xb1uy; 0xaeuy; 0x52uy; 0x62uy; 0x55uy; 0xd2uy; 0x41uy; 0x60uy; 0xc6uy; 0xbbuy; 0xfauy; 0x0euy; 0x59uy; 0xd6uy; 0xa8uy; 0xfeuy; 0x5duy; 0xeduy; 0x47uy; 0x3duy; 0xe0uy; 0xeauy; 0x1fuy; 0x6euy; 0x43uy; 0x51uy; 0xecuy; 0x10uy; 0x52uy; 0x56uy; 0x77uy; 0x42uy; 0x6buy; 0x52uy; 0x87uy; 0xd8uy; 0xecuy; 0xe0uy; 0xaauy; 0x76uy; 0xa5uy; 0x84uy; 0x2auy; 0x22uy; 0x24uy; 0xfduy; 0x92uy; 0x40uy; 0x88uy; 0xd5uy; 0x85uy; 0x1cuy; 0x1fuy; 0x6buy; 0x47uy; 0xa0uy; 0xc4uy; 0xe4uy; 0xefuy; 0xf4uy; 0xeauy; 0xd7uy; 0x59uy; 0xacuy; 0x2auy; 0x9euy; 0x8cuy; 0xfauy; 0x1fuy; 0x42uy; 0x08uy; 0xfeuy; 0x4fuy; 0x74uy; 0xa0uy; 0x26uy; 0xf5uy; 0xb3uy; 0x84uy; 0xf6uy; 0x58uy; 0x5fuy; 0x26uy; 0x66uy; 0x3euy; 0xd7uy; 0xe4uy; 0x22uy; 0x91uy; 0x13uy; 0xc8uy; 0xacuy; 0x25uy; 0x96uy; 0x23uy; 0xd8uy; 0x09uy; 0xeauy; 0x45uy; 0x75uy; 0x23uy; 0xb8uy; 0x5fuy; 0xc2uy; 0x90uy; 0x8buy; 0x09uy; 0xc4uy; 0xfcuy; 0x47uy; 0x6cuy; 0x6duy; 0x0auy; 0xefuy; 0x69uy; 0xa4uy; 0x38uy; 0x19uy; 0xcfuy; 0x7duy; 0xf9uy; 0x09uy; 0x73uy; 0x9buy; 0x60uy; 0x5auy; 0xf7uy; 0x37uy; 0xb5uy; 0xfeuy; 0x9fuy; 0xe3uy; 0x2buy; 0x4cuy; 0x0duy; 0x6euy; 0x19uy; 0xf1uy; 0xd6uy; 0xc0uy; 0x70uy; 0xf3uy; 0x9duy; 0x22uy; 0x3cuy; 0xf9uy; 0x49uy; 0xceuy; 0x30uy; 0x8euy; 0x44uy; 0xb5uy; 0x76uy; 0x15uy; 0x8fuy; 0x52uy; 0xfduy; 0xa5uy; 0x04uy; 0xb8uy; 0x55uy; 0x6auy; 0x36uy; 0x59uy; 0x7cuy; 0xc4uy; 0x48uy; 0xb8uy; 0xd7uy; 0xabuy; 0x05uy; 0x66uy; 0xe9uy; 0x5euy; 0x21uy; 0x6fuy; 0x6buy; 0x36uy; 0x29uy; 0xbbuy; 0xe9uy; 0xe3uy; 0xa2uy; 0x9auy; 0xa8uy; 0xcduy; 0x55uy; 0x25uy; 0x11uy; 0xbauy; 0x5auy; 0x58uy; 0xa0uy; 0xdeuy; 0xaeuy; 0x19uy; 0x2auy; 0x48uy; 0x5auy; 0xffuy; 0x36uy; 0xcduy; 0x6duy; 0x16uy; 0x7auy; 0x73uy; 0x38uy; 0x46uy; 0xe5uy; 0x47uy; 0x59uy; 0xc8uy; 0xa2uy; 0xf6uy; 0xe2uy; 0x6cuy; 0x83uy; 0xc5uy; 0x36uy; 0x2cuy; 0x83uy; 0x7duy; 0xb4uy; 0x01uy; 0x05uy; 0x69uy; 0xe7uy; 0xafuy; 0x5cuy; 0xc4uy; 0x64uy; 0x82uy; 0x12uy; 0x21uy; 0xefuy; 0xf7uy; 0xd1uy; 0x7duy; 0xb8uy; 0x8duy; 0x8cuy; 0x98uy; 0x7cuy; 0x5fuy; 0x7duy; 0x92uy; 0x88uy; 0xb9uy; 0x94uy; 0x07uy; 0x9cuy; 0xd8uy; 0xe9uy; 0x9cuy; 0x17uy; 0x38uy; 0xe3uy; 0x57uy; 0x6cuy; 0xe0uy; 0xdcuy; 0xa5uy; 0x92uy; 0x42uy; 0xb3uy; 0xbduy; 0x50uy; 0xa2uy; 0x7euy; 0xb5uy; 0xb1uy; 0x52uy; 0x72uy; 0x03uy; 0x97uy; 0xd8uy; 0xaauy; 0x9auy; 0x1euy; 0x75uy; 0x41uy; 0x11uy; 0xa3uy; 0x4fuy; 0xccuy; 0xd4uy; 0xe3uy; 0x73uy; 0xaduy; 0x96uy; 0xdcuy; 0x47uy; 0x41uy; 0x9fuy; 0xb0uy; 0xbeuy; 0x79uy; 0x91uy; 0xf5uy; 0xb6uy; 0x18uy; 0xfeuy; 0xc2uy; 0x83uy; 0x18uy; 0x7duy; 0x73uy; 0xd9uy; 0x4fuy; 0x83uy; 0x84uy; 0x03uy; 0xb3uy; 0xf0uy; 0x77uy; 0x66uy; 0x3duy; 0x83uy; 0x63uy; 0x2euy; 0x2cuy; 0xf9uy; 0xdduy; 0xa6uy; 0x1fuy; 0x89uy; 0x82uy; 0xb8uy; 0x23uy; 0x42uy; 0xebuy; 0xe2uy; 0xcauy; 0x70uy; 0x82uy; 0x61uy; 0x41uy; 0x0auy; 0x6duy; 0x5fuy; 0x75uy; 0xc5uy; 0xe2uy; 0xc4uy; 0x91uy; 0x18uy; 0x44uy; 0x22uy; 0xfauy; 0x34uy; 0x10uy; 0xf5uy; 0x20uy; 0xdcuy; 0xb7uy; 0xdduy; 0x2auy; 0x20uy; 0x77uy; 0xf5uy; 0xf9uy; 0xceuy; 0xdbuy; 0xa0uy; 0x0auy; 0x52uy; 0x2auy; 0x4euy; 0xdduy; 0xccuy; 0x97uy; 0xdfuy; 0x05uy; 0xe4uy; 0x5euy; 0xb7uy; 0xaauy; 0xf0uy; 0xe2uy; 0x80uy; 0xffuy; 0xbauy; 0x1auy; 0x0fuy; 0xacuy; 0xdfuy; 0x02uy; 0x32uy; 0xe6uy; 0xf7uy; 0xc7uy; 0x17uy; 0x13uy; 0xb7uy; 0xfcuy; 0x98uy; 0x48uy; 0x8cuy; 0x0duy; 0x82uy; 0xc9uy; 0x80uy; 0x7auy; 0xe2uy; 0x0auy; 0xc5uy; 0xb4uy; 0xdeuy; 0x7cuy; 0x3cuy; 0x79uy; 0x81uy; 0x0euy; 0x28uy; 0x65uy; 0x79uy; 0x67uy; 0x82uy; 0x69uy; 0x44uy; 0x66uy; 0x09uy; 0xf7uy; 0x16uy; 0x1auy; 0xf9uy; 0x7duy; 0x80uy; 0xa1uy; 0x79uy; 0x14uy; 0xa9uy; 0xc8uy; 0x20uy; 0xfbuy; 0xa2uy; 0x46uy; 0xbeuy; 0x08uy; 0x35uy; 0x17uy; 0x58uy; 0xc1uy; 0x1auy; 0xdauy; 0x2auy; 0x6buy; 0x2euy; 0x1euy; 0xe6uy; 0x27uy; 0x55uy; 0x7buy; 0x19uy; 0xe2uy; 0xfbuy; 0x64uy; 0xfcuy; 0x5euy; 0x15uy; 0x54uy; 0x3cuy; 0xe7uy; 0xc2uy; 0x11uy; 0x50uy; 0x30uy; 0xb8uy; 0x72uy; 0x03uy; 0x0buy; 0x1auy; 0x9fuy; 0x86uy; 0x27uy; 0x11uy; 0x5cuy; 0x06uy; 0x2buy; 0xbduy; 0x75uy; 0x1auy; 0x0auy; 0xdauy; 0x01uy; 0xfauy; 0x5cuy; 0x4auy; 0xc1uy; 0x80uy; 0x3auy; 0x6euy; 0x30uy; 0xc8uy; 0x2cuy; 0xebuy; 0x56uy; 0xecuy; 0x89uy; 0xfauy; 0x35uy; 0x7buy; 0xb2uy; 0xf0uy; 0x97uy; 0x08uy; 0x86uy; 0x53uy; 0xbeuy; 0xbduy; 0x40uy; 0x41uy; 0x38uy; 0x1cuy; 0xb4uy; 0x8buy; 0x79uy; 0x2euy; 0x18uy; 0x96uy; 0x94uy; 0xdeuy; 0xe8uy; 0xcauy; 0xe5uy; 0x9fuy; 0x92uy; 0x9fuy; 0x15uy; 0x5duy; 0x56uy; 0x60uy; 0x5cuy; 0x09uy; 0xf9uy; 0x16uy; 0xf4uy; 0x17uy; 0x0fuy; 0xf6uy; 0x4cuy; 0xdauy; 0xe6uy; 0x67uy; 0x89uy; 0x9fuy; 0xcauy; 0x6cuy; 0xe7uy; 0x9buy; 0x04uy; 0x62uy; 0x0euy; 0x26uy; 0xa6uy; 0x52uy; 0xbduy; 0x29uy; 0xffuy; 0xc7uy; 0xa4uy; 0x96uy; 0xe6uy; 0x6auy; 0x02uy; 0xa5uy; 0x2euy; 0x7buy; 0xfeuy; 0x97uy; 0x68uy; 0x3euy; 0x2euy; 0x5fuy; 0x3buy; 0x0fuy; 0x36uy; 0xd6uy; 0x98uy; 0x19uy; 0x59uy; 0x48uy; 0xd2uy; 0xc6uy; 0xe1uy; 0x55uy; 0x1auy; 0x6euy; 0xd6uy; 0xeduy; 0x2cuy; 0xbauy; 0xc3uy; 0x9euy; 0x64uy; 0xc9uy; 0x95uy; 0x86uy; 0x35uy; 0x5euy; 0x3euy; 0x88uy; 0x69uy; 0x99uy; 0x4buy; 0xeeuy; 0xbeuy; 0x9auy; 0x99uy; 0xb5uy; 0x6euy; 0x58uy; 0xaeuy; 0xdduy; 0x22uy; 0xdbuy; 0xdduy; 0x6buy; 0xfcuy; 0xafuy; 0x90uy; 0xa3uy; 0x3duy; 0xa4uy; 0xc1uy; 0x15uy; 0x92uy; 0x18uy; 0x8duy; 0xd2uy; 0x4buy; 0x7buy; 0x06uy; 0xd1uy; 0x37uy; 0xb5uy; 0xe2uy; 0x7cuy; 0x2cuy; 0xf0uy; 0x25uy; 0xe4uy; 0x94uy; 0x2auy; 0xbduy; 0xe3uy; 0x82uy; 0x70uy; 0x78uy; 0xa3uy; 0x82uy; 0x10uy; 0x5auy; 0x90uy; 0xd7uy; 0xa4uy; 0xfauy; 0xafuy; 0x1auy; 0x88uy; 0x59uy; 0xdcuy; 0x74uy; 0x12uy; 0xb4uy; 0x8euy; 0xd7uy; 0x19uy; 0x46uy; 0xf4uy; 0x84uy; 0x69uy; 0x9fuy; 0xbbuy; 0x70uy; 0xa8uy; 0x4cuy; 0x52uy; 0x81uy; 0xa9uy; 0xffuy; 0x76uy; 0x1cuy; 0xaeuy; 0xd8uy; 0x11uy; 0x3duy; 0x7fuy; 0x7duy; 0xc5uy; 0x12uy; 0x59uy; 0x28uy; 0x18uy; 0xc2uy; 0xa2uy; 0xb7uy; 0x1cuy; 0x88uy; 0xf8uy; 0xd6uy; 0x1buy; 0xa6uy; 0x7duy; 0x9euy; 0xdeuy; 0x29uy; 0xf8uy; 0xeduy; 0xffuy; 0xebuy; 0x92uy; 0x24uy; 0x4fuy; 0x05uy; 0xaauy; 0xd9uy; 0x49uy; 0xbauy; 0x87uy; 0x59uy; 0x51uy; 0xc9uy; 0x20uy; 0x5cuy; 0x9buy; 0x74uy; 0xcfuy; 0x03uy; 0xd9uy; 0x2duy; 0x34uy; 0xc7uy; 0x5buy; 0xa5uy; 0x40uy; 0xb2uy; 0x99uy; 0xf5uy; 0xcbuy; 0xb4uy; 0xf6uy; 0xb7uy; 0x72uy; 0x4auy; 0xd6uy; 0xbduy; 0xb0uy; 0xf3uy; 0x93uy; 0xe0uy; 0x1buy; 0xa8uy; 0x04uy; 0x1euy; 0x35uy; 0xd4uy; 0x80uy; 0x20uy; 0xf4uy; 0x9cuy; 0x31uy; 0x6buy; 0x45uy; 0xb9uy; 0x15uy; 0xb0uy; 0x5euy; 0xdduy; 0x0auy; 0x33uy; 0x9cuy; 0x83uy; 0xcduy; 0x58uy; 0x89uy; 0x50uy; 0x56uy; 0xbbuy; 0x81uy; 0x00uy; 0x91uy; 0x32uy; 0xf3uy; 0x1buy; 0x3euy; 0xcfuy; 0x45uy; 0xe1uy; 0xf9uy; 0xe1uy; 0x2cuy; 0x26uy; 0x78uy; 0x93uy; 0x9auy; 0x60uy; 0x46uy; 0xc9uy; 0xb5uy; 0x5euy; 0x6auy; 0x28uy; 0x92uy; 0x87uy; 0x3fuy; 0x63uy; 0x7buy; 0xdbuy; 0xf7uy; 0xd0uy; 0x13uy; 0x9duy; 0x32uy; 0x40uy; 0x5euy; 0xcfuy; 0xfbuy; 0x79uy; 0x68uy; 0x47uy; 0x4cuy; 0xfduy; 0x01uy; 0x17uy; 0xe6uy; 0x97uy; 0x93uy; 0x78uy; 0xbbuy; 0xa6uy; 0x27uy; 0xa3uy; 0xe8uy; 0x1auy; 0xe8uy; 0x94uy; 0x55uy; 0x7duy; 0x08uy; 0xe5uy; 0xdcuy; 0x66uy; 0xa3uy; 0x69uy; 0xc8uy; 0xcauy; 0xc5uy; 0xa1uy; 0x84uy; 0x55uy; 0xdeuy; 0x08uy; 0x91uy; 0x16uy; 0x3auy; 0x0cuy; 0x86uy; 0xabuy; 0x27uy; 0x2buy; 0x64uy; 0x34uy; 0x02uy; 0x6cuy; 0x76uy; 0x8buy; 0xc6uy; 0xafuy; 0xccuy; 0xe1uy; 0xd6uy; 0x8cuy; 0x2auy; 0x18uy; 0x3duy; 0xa6uy; 0x1buy; 0x37uy; 0x75uy; 0x45uy; 0x73uy; 0xc2uy; 0x75uy; 0xd7uy; 0x53uy; 0x78uy; 0x3auy; 0xd6uy; 0xe8uy; 0x29uy; 0xd2uy; 0x4auy; 0xa8uy; 0x1euy; 0x82uy; 0xf6uy; 0xb6uy; 0x81uy; 0xdeuy; 0x21uy; 0xeduy; 0x2buy; 0x56uy; 0xbbuy; 0xf2uy; 0xd0uy; 0x57uy; 0xc1uy; 0x7cuy; 0xd2uy; 0x6auy; 0xd2uy; 0x56uy; 0xf5uy; 0x13uy; 0x5fuy; 0x1cuy; 0x6auy; 0x0buy; 0x74uy; 0xfbuy; 0xe9uy; 0xfeuy; 0x9euy; 0xeauy; 0x95uy; 0xb2uy; 0x46uy; 0xabuy; 0x0auy; 0xfcuy; 0xfduy; 0xf3uy; 0xbbuy; 0x04uy; 0x2buy; 0x76uy; 0x1buy; 0xa4uy; 0x74uy; 0xb0uy; 0xc1uy; 0x78uy; 0xc3uy; 0x69uy; 0xe2uy; 0xb0uy; 0x01uy; 0xe1uy; 0xdeuy; 0x32uy; 0x4cuy; 0x8duy; 0x1auy; 0xb3uy; 0x38uy; 0x08uy; 0xd5uy; 0xfcuy; 0x1fuy; 0xdcuy; 0x0euy; 0x2cuy; 0x9cuy; 0xb1uy; 0xa1uy; 0x63uy; 0x17uy; 0x22uy; 0xf5uy; 0x6cuy; 0x93uy; 0x70uy; 0x74uy; 0x00uy; 0xf8uy; 0x39uy; 0x01uy; 0x94uy; 0xd1uy; 0x32uy; 0x23uy; 0x56uy; 0x5duy; 0xa6uy; 0x02uy; 0x76uy; 0x76uy; 0x93uy; 0xceuy; 0x2fuy; 0x19uy; 0xe9uy; 0x17uy; 0x52uy; 0xaeuy; 0x6euy; 0x2cuy; 0x6duy; 0x61uy; 0x7fuy; 0x3buy; 0xaauy; 0xe0uy; 0x52uy; 0x85uy; 0xc5uy; 0x65uy; 0xc1uy; 0xbbuy; 0x8euy; 0x5buy; 0x21uy; 0xd5uy; 0xc9uy; 0x78uy; 0x83uy; 0x07uy; 0x97uy; 0x4cuy; 0x62uy; 0x61uy; 0x41uy; 0xd4uy; 0xfcuy; 0xc9uy; 0x39uy; 0xe3uy; 0x9buy; 0xd0uy; 0xccuy; 0x75uy; 0xc4uy; 0x97uy; 0xe6uy; 0xdduy; 0x2auy; 0x5fuy; 0xa6uy; 0xe8uy; 0x59uy; 0x6cuy; 0x98uy; 0xb9uy; 0x02uy; 0xe2uy; 0xa2uy; 0xd6uy; 0x68uy; 0xeeuy; 0x3buy; 0x1duy; 0xe3uy; 0x4duy; 0x5buy; 0x30uy; 0xefuy; 0x03uy; 0xf2uy; 0xebuy; 0x18uy; 0x57uy; 0x36uy; 0xe8uy; 0xa1uy; 0xf4uy; 0x47uy; 0xfbuy; 0xcbuy; 0x8fuy; 0xcbuy; 0xc8uy; 0xf3uy; 0x4fuy; 0x74uy; 0x9duy; 0x9duy; 0xb1uy; 0x8duy; 0x14uy; 0x44uy; 0xd9uy; 0x19uy; 0xb4uy; 0x54uy; 0x4fuy; 0x75uy; 0x19uy; 0x09uy; 0xa0uy; 0x75uy; 0xbcuy; 0x3buy; 0x82uy; 0xc6uy; 0x3fuy; 0xb8uy; 0x83uy; 0x19uy; 0x6euy; 0xd6uy; 0x37uy; 0xfeuy; 0x6euy; 0x8auy; 0x4euy; 0xe0uy; 0x4auy; 0xabuy; 0x7buy; 0xc8uy; 0xb4uy; 0x1duy; 0xf4uy; 0xeduy; 0x27uy; 0x03uy; 0x65uy; 0xa2uy; 0xa1uy; 0xaeuy; 0x11uy; 0xe7uy; 0x98uy; 0x78uy; 0x48uy; 0x91uy; 0xd2uy; 0xd2uy; 0xd4uy; 0x23uy; 0x78uy; 0x50uy; 0xb1uy; 0x5buy; 0x85uy; 0x10uy; 0x8duy; 0xcauy; 0x5fuy; 0x0fuy; 0x71uy; 0xaeuy; 0x72uy; 0x9auy; 0xf6uy; 0x25uy; 0x19uy; 0x60uy; 0x06uy; 0xf7uy; 0x10uy; 0x34uy; 0x18uy; 0x0duy; 0xc9uy; 0x9fuy; 0x7buy; 0x0cuy; 0x9buy; 0x8fuy; 0x91uy; 0x1buy; 0x9fuy; 0xcduy; 0x10uy; 0xeeuy; 0x75uy; 0xf9uy; 0x97uy; 0x66uy; 0xfcuy; 0x4duy; 0x33uy; 0x6euy; 0x28uy; 0x2buy; 0x92uy; 0x85uy; 0x4fuy; 0xabuy; 0x43uy; 0x8duy; 0x8fuy; 0x7duy; 0x86uy; 0xa7uy; 0xc7uy; 0xd8uy; 0xd3uy; 0x0buy; 0x8buy; 0x57uy; 0xb6uy; 0x1duy; 0x95uy; 0x0duy; 0xe9uy; 0xbcuy; 0xd9uy; 0x03uy; 0xd9uy; 0x10uy; 0x19uy; 0xc3uy; 0x46uy; 0x63uy; 0x55uy; 0x87uy; 0x61uy; 0x79uy; 0x6cuy; 0x95uy; 0x0euy; 0x9cuy; 0xdduy; 0xcauy; 0xc3uy; 0xf3uy; 0x64uy; 0xf0uy; 0x7duy; 0x76uy; 0xb7uy; 0x53uy; 0x67uy; 0x2buy; 0x1euy; 0x44uy; 0x56uy; 0x81uy; 0xeauy; 0x8fuy; 0x5cuy; 0x42uy; 0x16uy; 0xb8uy; 0x28uy; 0xebuy; 0x1buy; 0x61uy; 0x10uy; 0x1euy; 0xbfuy; 0xecuy; 0xa8uy; ] in assert_norm (List.Tot.length l = 1933); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input10_len: (x:UInt32.t { UInt32.v x = B.length input10 }) = 1933ul let output10: (b: B.buffer UInt8.t { B.length b = 1949 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xfcuy; 0x4buy; 0x25uy; 0xdfuy; 0xc0uy; 0xe4uy; 0xe8uy; 0x17uy; 0x4duy; 0x4cuy; 0xc9uy; 0x7euy; 0xdeuy; 0x3auy; 0xccuy; 0x3cuy; 0xbauy; 0x6auy; 0x77uy; 0x47uy; 0xdbuy; 0xe3uy; 0x74uy; 0x7auy; 0x4duy; 0x5fuy; 0x8duy; 0x37uy; 0x55uy; 0x80uy; 0x73uy; 0x90uy; 0x66uy; 0x5duy; 0x3auy; 0x7duy; 0x5duy; 0x86uy; 0x5euy; 0x8duy; 0xfduy; 0x83uy; 0xffuy; 0x4euy; 0x74uy; 0x6fuy; 0xf9uy; 0xe6uy; 0x70uy; 0x17uy; 0x70uy; 0x3euy; 0x96uy; 0xa7uy; 0x7euy; 0xcbuy; 0xabuy; 0x8fuy; 0x58uy; 0x24uy; 0x9buy; 0x01uy; 0xfduy; 0xcbuy; 0xe6uy; 0x4duy; 0x9buy; 0xf0uy; 0x88uy; 0x94uy; 0x57uy; 0x66uy; 0xefuy; 0x72uy; 0x4cuy; 0x42uy; 0x6euy; 0x16uy; 0x19uy; 0x15uy; 0xeauy; 0x70uy; 0x5buy; 0xacuy; 0x13uy; 0xdbuy; 0x9fuy; 0x18uy; 0xe2uy; 0x3cuy; 0x26uy; 0x97uy; 0xbcuy; 0xdcuy; 0x45uy; 0x8cuy; 0x6cuy; 0x24uy; 0x69uy; 0x9cuy; 0xf7uy; 0x65uy; 0x1euy; 0x18uy; 0x59uy; 0x31uy; 0x7cuy; 0xe4uy; 0x73uy; 0xbcuy; 0x39uy; 0x62uy; 0xc6uy; 0x5cuy; 0x9fuy; 0xbfuy; 0xfauy; 0x90uy; 0x03uy; 0xc9uy; 0x72uy; 0x26uy; 0xb6uy; 0x1buy; 0xc2uy; 0xb7uy; 0x3fuy; 0xf2uy; 0x13uy; 0x77uy; 0xf2uy; 0x8duy; 0xb9uy; 0x47uy; 0xd0uy; 0x53uy; 0xdduy; 0xc8uy; 0x91uy; 0x83uy; 0x8buy; 0xb1uy; 0xceuy; 0xa3uy; 0xfeuy; 0xcduy; 0xd9uy; 0xdduy; 0x92uy; 0x7buy; 0xdbuy; 0xb8uy; 0xfbuy; 0xc9uy; 0x2duy; 0x01uy; 0x59uy; 0x39uy; 0x52uy; 0xaduy; 0x1buy; 0xecuy; 0xcfuy; 0xd7uy; 0x70uy; 0x13uy; 0x21uy; 0xf5uy; 0x47uy; 0xaauy; 0x18uy; 0x21uy; 0x5cuy; 0xc9uy; 0x9auy; 0xd2uy; 0x6buy; 0x05uy; 0x9cuy; 0x01uy; 0xa1uy; 0xdauy; 0x35uy; 0x5duy; 0xb3uy; 0x70uy; 0xe6uy; 0xa9uy; 0x80uy; 0x8buy; 0x91uy; 0xb7uy; 0xb3uy; 0x5fuy; 0x24uy; 0x9auy; 0xb7uy; 0xd1uy; 0x6buy; 0xa1uy; 0x1cuy; 0x50uy; 0xbauy; 0x49uy; 0xe0uy; 0xeeuy; 0x2euy; 0x75uy; 0xacuy; 0x69uy; 0xc0uy; 0xebuy; 0x03uy; 0xdduy; 0x19uy; 0xe5uy; 0xf6uy; 0x06uy; 0xdduy; 0xc3uy; 0xd7uy; 0x2buy; 0x07uy; 0x07uy; 0x30uy; 0xa7uy; 0x19uy; 0x0cuy; 0xbfuy; 0xe6uy; 0x18uy; 0xccuy; 0xb1uy; 0x01uy; 0x11uy; 0x85uy; 0x77uy; 0x1duy; 0x96uy; 0xa7uy; 0xa3uy; 0x00uy; 0x84uy; 0x02uy; 0xa2uy; 0x83uy; 0x68uy; 0xdauy; 0x17uy; 0x27uy; 0xc8uy; 0x7fuy; 0x23uy; 0xb7uy; 0xf4uy; 0x13uy; 0x85uy; 0xcfuy; 0xdduy; 0x7auy; 0x7duy; 0x24uy; 0x57uy; 0xfeuy; 0x05uy; 0x93uy; 0xf5uy; 0x74uy; 0xceuy; 0xeduy; 0x0cuy; 0x20uy; 0x98uy; 0x8duy; 0x92uy; 0x30uy; 0xa1uy; 0x29uy; 0x23uy; 0x1auy; 0xa0uy; 0x4fuy; 0x69uy; 0x56uy; 0x4cuy; 0xe1uy; 0xc8uy; 0xceuy; 0xf6uy; 0x9auy; 0x0cuy; 0xa4uy; 0xfauy; 0x04uy; 0xf6uy; 0x62uy; 0x95uy; 0xf2uy; 0xfauy; 0xc7uy; 0x40uy; 0x68uy; 0x40uy; 0x8fuy; 0x41uy; 0xdauy; 0xb4uy; 0x26uy; 0x6fuy; 0x70uy; 0xabuy; 0x40uy; 0x61uy; 0xa4uy; 0x0euy; 0x75uy; 0xfbuy; 0x86uy; 0xebuy; 0x9duy; 0x9auy; 0x1fuy; 0xecuy; 0x76uy; 0x99uy; 0xe7uy; 0xeauy; 0xaauy; 0x1euy; 0x2duy; 0xb5uy; 0xd4uy; 0xa6uy; 0x1auy; 0xb8uy; 0x61uy; 0x0auy; 0x1duy; 0x16uy; 0x5buy; 0x98uy; 0xc2uy; 0x31uy; 0x40uy; 0xe7uy; 0x23uy; 0x1duy; 0x66uy; 0x99uy; 0xc8uy; 0xc0uy; 0xd7uy; 0xceuy; 0xf3uy; 0x57uy; 0x40uy; 0x04uy; 0x3fuy; 0xfcuy; 0xeauy; 0xb3uy; 0xfcuy; 0xd2uy; 0xd3uy; 0x99uy; 0xa4uy; 0x94uy; 0x69uy; 0xa0uy; 0xefuy; 0xd1uy; 0x85uy; 0xb3uy; 0xa6uy; 0xb1uy; 0x28uy; 0xbfuy; 0x94uy; 0x67uy; 0x22uy; 0xc3uy; 0x36uy; 0x46uy; 0xf8uy; 0xd2uy; 0x0fuy; 0x5fuy; 0xf4uy; 0x59uy; 0x80uy; 0xe6uy; 0x2duy; 0x43uy; 0x08uy; 0x7duy; 0x19uy; 0x09uy; 0x97uy; 0xa7uy; 0x4cuy; 0x3duy; 0x8duy; 0xbauy; 0x65uy; 0x62uy; 0xa3uy; 0x71uy; 0x33uy; 0x29uy; 0x62uy; 0xdbuy; 0xc1uy; 0x33uy; 0x34uy; 0x1auy; 0x63uy; 0x33uy; 0x16uy; 0xb6uy; 0x64uy; 0x7euy; 0xabuy; 0x33uy; 0xf0uy; 0xe6uy; 0x26uy; 0x68uy; 0xbauy; 0x1duy; 0x2euy; 0x38uy; 0x08uy; 0xe6uy; 0x02uy; 0xd3uy; 0x25uy; 0x2cuy; 0x47uy; 0x23uy; 0x58uy; 0x34uy; 0x0fuy; 0x9duy; 0x63uy; 0x4fuy; 0x63uy; 0xbbuy; 0x7fuy; 0x3buy; 0x34uy; 0x38uy; 0xa7uy; 0xb5uy; 0x8duy; 0x65uy; 0xd9uy; 0x9fuy; 0x79uy; 0x55uy; 0x3euy; 0x4duy; 0xe7uy; 0x73uy; 0xd8uy; 0xf6uy; 0x98uy; 0x97uy; 0x84uy; 0x60uy; 0x9cuy; 0xc8uy; 0xa9uy; 0x3cuy; 0xf6uy; 0xdcuy; 0x12uy; 0x5cuy; 0xe1uy; 0xbbuy; 0x0buy; 0x8buy; 0x98uy; 0x9cuy; 0x9duy; 0x26uy; 0x7cuy; 0x4auy; 0xe6uy; 0x46uy; 0x36uy; 0x58uy; 0x21uy; 0x4auy; 0xeeuy; 0xcauy; 0xd7uy; 0x3buy; 0xc2uy; 0x6cuy; 0x49uy; 0x2fuy; 0xe5uy; 0xd5uy; 0x03uy; 0x59uy; 0x84uy; 0x53uy; 0xcbuy; 0xfeuy; 0x92uy; 0x71uy; 0x2euy; 0x7cuy; 0x21uy; 0xccuy; 0x99uy; 0x85uy; 0x7fuy; 0xb8uy; 0x74uy; 0x90uy; 0x13uy; 0x42uy; 0x3fuy; 0xe0uy; 0x6buy; 0x1duy; 0xf2uy; 0x4duy; 0x54uy; 0xd4uy; 0xfcuy; 0x3auy; 0x05uy; 0xe6uy; 0x74uy; 0xafuy; 0xa6uy; 0xa0uy; 0x2auy; 0x20uy; 0x23uy; 0x5duy; 0x34uy; 0x5cuy; 0xd9uy; 0x3euy; 0x4euy; 0xfauy; 0x93uy; 0xe7uy; 0xaauy; 0xe9uy; 0x6fuy; 0x08uy; 0x43uy; 0x67uy; 0x41uy; 0xc5uy; 0xaduy; 0xfbuy; 0x31uy; 0x95uy; 0x82uy; 0x73uy; 0x32uy; 0xd8uy; 0xa6uy; 0xa3uy; 0xeduy; 0x0euy; 0x2duy; 0xf6uy; 0x5fuy; 0xfduy; 0x80uy; 0xa6uy; 0x7auy; 0xe0uy; 0xdfuy; 0x78uy; 0x15uy; 0x29uy; 0x74uy; 0x33uy; 0xd0uy; 0x9euy; 0x83uy; 0x86uy; 0x72uy; 0x22uy; 0x57uy; 0x29uy; 0xb9uy; 0x9euy; 0x5duy; 0xd3uy; 0x1auy; 0xb5uy; 0x96uy; 0x72uy; 0x41uy; 0x3duy; 0xf1uy; 0x64uy; 0x43uy; 0x67uy; 0xeeuy; 0xaauy; 0x5cuy; 0xd3uy; 0x9auy; 0x96uy; 0x13uy; 0x11uy; 0x5duy; 0xf3uy; 0x0cuy; 0x87uy; 0x82uy; 0x1euy; 0x41uy; 0x9euy; 0xd0uy; 0x27uy; 0xd7uy; 0x54uy; 0x3buy; 0x67uy; 0x73uy; 0x09uy; 0x91uy; 0xe9uy; 0xd5uy; 0x36uy; 0xa7uy; 0xb5uy; 0x55uy; 0xe4uy; 0xf3uy; 0x21uy; 0x51uy; 0x49uy; 0x22uy; 0x07uy; 0x55uy; 0x4fuy; 0x44uy; 0x4buy; 0xd2uy; 0x15uy; 0x93uy; 0x17uy; 0x2auy; 0xfauy; 0x4duy; 0x4auy; 0x57uy; 0xdbuy; 0x4cuy; 0xa6uy; 0xebuy; 0xecuy; 0x53uy; 0x25uy; 0x6cuy; 0x21uy; 0xeduy; 0x00uy; 0x4cuy; 0x3buy; 0xcauy; 0x14uy; 0x57uy; 0xa9uy; 0xd6uy; 0x6auy; 0xcduy; 0x8duy; 0x5euy; 0x74uy; 0xacuy; 0x72uy; 0xc1uy; 0x97uy; 0xe5uy; 0x1buy; 0x45uy; 0x4euy; 0xdauy; 0xfcuy; 0xccuy; 0x40uy; 0xe8uy; 0x48uy; 0x88uy; 0x0buy; 0xa3uy; 0xe3uy; 0x8duy; 0x83uy; 0x42uy; 0xc3uy; 0x23uy; 0xfduy; 0x68uy; 0xb5uy; 0x8euy; 0xf1uy; 0x9duy; 0x63uy; 0x77uy; 0xe9uy; 0xa3uy; 0x8euy; 0x8cuy; 0x26uy; 0x6buy; 0xbduy; 0x72uy; 0x73uy; 0x35uy; 0x0cuy; 0x03uy; 0xf8uy; 0x43uy; 0x78uy; 0x52uy; 0x71uy; 0x15uy; 0x1fuy; 0x71uy; 0x5duy; 0x6euy; 0xeduy; 0xb9uy; 0xccuy; 0x86uy; 0x30uy; 0xdbuy; 0x2buy; 0xd3uy; 0x82uy; 0x88uy; 0x23uy; 0x71uy; 0x90uy; 0x53uy; 0x5cuy; 0xa9uy; 0x2fuy; 0x76uy; 0x01uy; 0xb7uy; 0x9auy; 0xfeuy; 0x43uy; 0x55uy; 0xa3uy; 0x04uy; 0x9buy; 0x0euy; 0xe4uy; 0x59uy; 0xdfuy; 0xc9uy; 0xe9uy; 0xb1uy; 0xeauy; 0x29uy; 0x28uy; 0x3cuy; 0x5cuy; 0xaeuy; 0x72uy; 0x84uy; 0xb6uy; 0xc6uy; 0xebuy; 0x0cuy; 0x27uy; 0x07uy; 0x74uy; 0x90uy; 0x0duy; 0x31uy; 0xb0uy; 0x00uy; 0x77uy; 0xe9uy; 0x40uy; 0x70uy; 0x6fuy; 0x68uy; 0xa7uy; 0xfduy; 0x06uy; 0xecuy; 0x4buy; 0xc0uy; 0xb7uy; 0xacuy; 0xbcuy; 0x33uy; 0xb7uy; 0x6duy; 0x0auy; 0xbduy; 0x12uy; 0x1buy; 0x59uy; 0xcbuy; 0xdduy; 0x32uy; 0xf5uy; 0x1duy; 0x94uy; 0x57uy; 0x76uy; 0x9euy; 0x0cuy; 0x18uy; 0x98uy; 0x71uy; 0xd7uy; 0x2auy; 0xdbuy; 0x0buy; 0x7buy; 0xa7uy; 0x71uy; 0xb7uy; 0x67uy; 0x81uy; 0x23uy; 0x96uy; 0xaeuy; 0xb9uy; 0x7euy; 0x32uy; 0x43uy; 0x92uy; 0x8auy; 0x19uy; 0xa0uy; 0xc4uy; 0xd4uy; 0x3buy; 0x57uy; 0xf9uy; 0x4auy; 0x2cuy; 0xfbuy; 0x51uy; 0x46uy; 0xbbuy; 0xcbuy; 0x5duy; 0xb3uy; 0xefuy; 0x13uy; 0x93uy; 0x6euy; 0x68uy; 0x42uy; 0x54uy; 0x57uy; 0xd3uy; 0x6auy; 0x3auy; 0x8fuy; 0x9duy; 0x66uy; 0xbfuy; 0xbduy; 0x36uy; 0x23uy; 0xf5uy; 0x93uy; 0x83uy; 0x7buy; 0x9cuy; 0xc0uy; 0xdduy; 0xc5uy; 0x49uy; 0xc0uy; 0x64uy; 0xeduy; 0x07uy; 0x12uy; 0xb3uy; 0xe6uy; 0xe4uy; 0xe5uy; 0x38uy; 0x95uy; 0x23uy; 0xb1uy; 0xa0uy; 0x3buy; 0x1auy; 0x61uy; 0xdauy; 0x17uy; 0xacuy; 0xc3uy; 0x58uy; 0xdduy; 0x74uy; 0x64uy; 0x22uy; 0x11uy; 0xe8uy; 0x32uy; 0x1duy; 0x16uy; 0x93uy; 0x85uy; 0x99uy; 0xa5uy; 0x9cuy; 0x34uy; 0x55uy; 0xb1uy; 0xe9uy; 0x20uy; 0x72uy; 0xc9uy; 0x28uy; 0x7buy; 0x79uy; 0x00uy; 0xa1uy; 0xa6uy; 0xa3uy; 0x27uy; 0x40uy; 0x18uy; 0x8auy; 0x54uy; 0xe0uy; 0xccuy; 0xe8uy; 0x4euy; 0x8euy; 0x43uy; 0x96uy; 0xe7uy; 0x3fuy; 0xc8uy; 0xe9uy; 0xb2uy; 0xf9uy; 0xc9uy; 0xdauy; 0x04uy; 0x71uy; 0x50uy; 0x47uy; 0xe4uy; 0xaauy; 0xceuy; 0xa2uy; 0x30uy; 0xc8uy; 0xe4uy; 0xacuy; 0xc7uy; 0x0duy; 0x06uy; 0x2euy; 0xe6uy; 0xe8uy; 0x80uy; 0x36uy; 0x29uy; 0x9euy; 0x01uy; 0xb8uy; 0xc3uy; 0xf0uy; 0xa0uy; 0x5duy; 0x7auy; 0xcauy; 0x4duy; 0xa0uy; 0x57uy; 0xbduy; 0x2auy; 0x45uy; 0xa7uy; 0x7fuy; 0x9cuy; 0x93uy; 0x07uy; 0x8fuy; 0x35uy; 0x67uy; 0x92uy; 0xe3uy; 0xe9uy; 0x7fuy; 0xa8uy; 0x61uy; 0x43uy; 0x9euy; 0x25uy; 0x4fuy; 0x33uy; 0x76uy; 0x13uy; 0x6euy; 0x12uy; 0xb9uy; 0xdduy; 0xa4uy; 0x7cuy; 0x08uy; 0x9fuy; 0x7cuy; 0xe7uy; 0x0auy; 0x8duy; 0x84uy; 0x06uy; 0xa4uy; 0x33uy; 0x17uy; 0x34uy; 0x5euy; 0x10uy; 0x7cuy; 0xc0uy; 0xa8uy; 0x3duy; 0x1fuy; 0x42uy; 0x20uy; 0x51uy; 0x65uy; 0x5duy; 0x09uy; 0xc3uy; 0xaauy; 0xc0uy; 0xc8uy; 0x0duy; 0xf0uy; 0x79uy; 0xbcuy; 0x20uy; 0x1buy; 0x95uy; 0xe7uy; 0x06uy; 0x7duy; 0x47uy; 0x20uy; 0x03uy; 0x1auy; 0x74uy; 0xdduy; 0xe2uy; 0xd4uy; 0xaeuy; 0x38uy; 0x71uy; 0x9buy; 0xf5uy; 0x80uy; 0xecuy; 0x08uy; 0x4euy; 0x56uy; 0xbauy; 0x76uy; 0x12uy; 0x1auy; 0xdfuy; 0x48uy; 0xf3uy; 0xaeuy; 0xb3uy; 0xe6uy; 0xe6uy; 0xbeuy; 0xc0uy; 0x91uy; 0x2euy; 0x01uy; 0xb3uy; 0x01uy; 0x86uy; 0xa2uy; 0xb9uy; 0x52uy; 0xd1uy; 0x21uy; 0xaeuy; 0xd4uy; 0x97uy; 0x1duy; 0xefuy; 0x41uy; 0x12uy; 0x95uy; 0x3duy; 0x48uy; 0x45uy; 0x1cuy; 0x56uy; 0x32uy; 0x8fuy; 0xb8uy; 0x43uy; 0xbbuy; 0x19uy; 0xf3uy; 0xcauy; 0xe9uy; 0xebuy; 0x6duy; 0x84uy; 0xbeuy; 0x86uy; 0x06uy; 0xe2uy; 0x36uy; 0xb2uy; 0x62uy; 0x9duy; 0xd3uy; 0x4cuy; 0x48uy; 0x18uy; 0x54uy; 0x13uy; 0x4euy; 0xcfuy; 0xfduy; 0xbauy; 0x84uy; 0xb9uy; 0x30uy; 0x53uy; 0xcfuy; 0xfbuy; 0xb9uy; 0x29uy; 0x8fuy; 0xdcuy; 0x9fuy; 0xefuy; 0x60uy; 0x0buy; 0x64uy; 0xf6uy; 0x8buy; 0xeeuy; 0xa6uy; 0x91uy; 0xc2uy; 0x41uy; 0x6cuy; 0xf6uy; 0xfauy; 0x79uy; 0x67uy; 0x4buy; 0xc1uy; 0x3fuy; 0xafuy; 0x09uy; 0x81uy; 0xd4uy; 0x5duy; 0xcbuy; 0x09uy; 0xdfuy; 0x36uy; 0x31uy; 0xc0uy; 0x14uy; 0x3cuy; 0x7cuy; 0x0euy; 0x65uy; 0x95uy; 0x99uy; 0x6duy; 0xa3uy; 0xf4uy; 0xd7uy; 0x38uy; 0xeeuy; 0x1auy; 0x2buy; 0x37uy; 0xe2uy; 0xa4uy; 0x3buy; 0x4buy; 0xd0uy; 0x65uy; 0xcauy; 0xf8uy; 0xc3uy; 0xe8uy; 0x15uy; 0x20uy; 0xefuy; 0xf2uy; 0x00uy; 0xfduy; 0x01uy; 0x09uy; 0xc5uy; 0xc8uy; 0x17uy; 0x04uy; 0x93uy; 0xd0uy; 0x93uy; 0x03uy; 0x55uy; 0xc5uy; 0xfeuy; 0x32uy; 0xa3uy; 0x3euy; 0x28uy; 0x2duy; 0x3buy; 0x93uy; 0x8auy; 0xccuy; 0x07uy; 0x72uy; 0x80uy; 0x8buy; 0x74uy; 0x16uy; 0x24uy; 0xbbuy; 0xdauy; 0x94uy; 0x39uy; 0x30uy; 0x8fuy; 0xb1uy; 0xcduy; 0x4auy; 0x90uy; 0x92uy; 0x7cuy; 0x14uy; 0x8fuy; 0x95uy; 0x4euy; 0xacuy; 0x9buy; 0xd8uy; 0x8fuy; 0x1auy; 0x87uy; 0xa4uy; 0x32uy; 0x27uy; 0x8auy; 0xbauy; 0xf7uy; 0x41uy; 0xcfuy; 0x84uy; 0x37uy; 0x19uy; 0xe6uy; 0x06uy; 0xf5uy; 0x0euy; 0xcfuy; 0x36uy; 0xf5uy; 0x9euy; 0x6cuy; 0xdeuy; 0xbcuy; 0xffuy; 0x64uy; 0x7euy; 0x4euy; 0x59uy; 0x57uy; 0x48uy; 0xfeuy; 0x14uy; 0xf7uy; 0x9cuy; 0x93uy; 0x5duy; 0x15uy; 0xaduy; 0xccuy; 0x11uy; 0xb1uy; 0x17uy; 0x18uy; 0xb2uy; 0x7euy; 0xccuy; 0xabuy; 0xe9uy; 0xceuy; 0x7duy; 0x77uy; 0x5buy; 0x51uy; 0x1buy; 0x1euy; 0x20uy; 0xa8uy; 0x32uy; 0x06uy; 0x0euy; 0x75uy; 0x93uy; 0xacuy; 0xdbuy; 0x35uy; 0x37uy; 0x1fuy; 0xe9uy; 0x19uy; 0x1duy; 0xb4uy; 0x71uy; 0x97uy; 0xd6uy; 0x4euy; 0x2cuy; 0x08uy; 0xa5uy; 0x13uy; 0xf9uy; 0x0euy; 0x7euy; 0x78uy; 0x6euy; 0x14uy; 0xe0uy; 0xa9uy; 0xb9uy; 0x96uy; 0x4cuy; 0x80uy; 0x82uy; 0xbauy; 0x17uy; 0xb3uy; 0x9duy; 0x69uy; 0xb0uy; 0x84uy; 0x46uy; 0xffuy; 0xf9uy; 0x52uy; 0x79uy; 0x94uy; 0x58uy; 0x3auy; 0x62uy; 0x90uy; 0x15uy; 0x35uy; 0x71uy; 0x10uy; 0x37uy; 0xeduy; 0xa1uy; 0x8euy; 0x53uy; 0x6euy; 0xf4uy; 0x26uy; 0x57uy; 0x93uy; 0x15uy; 0x93uy; 0xf6uy; 0x81uy; 0x2cuy; 0x5auy; 0x10uy; 0xdauy; 0x92uy; 0xaduy; 0x2fuy; 0xdbuy; 0x28uy; 0x31uy; 0x2duy; 0x55uy; 0x04uy; 0xd2uy; 0x06uy; 0x28uy; 0x8cuy; 0x1euy; 0xdcuy; 0xeauy; 0x54uy; 0xacuy; 0xffuy; 0xb7uy; 0x6cuy; 0x30uy; 0x15uy; 0xd4uy; 0xb4uy; 0x0duy; 0x00uy; 0x93uy; 0x57uy; 0xdduy; 0xd2uy; 0x07uy; 0x07uy; 0x06uy; 0xd9uy; 0x43uy; 0x9buy; 0xcduy; 0x3auy; 0xf4uy; 0x7duy; 0x4cuy; 0x36uy; 0x5duy; 0x23uy; 0xa2uy; 0xccuy; 0x57uy; 0x40uy; 0x91uy; 0xe9uy; 0x2cuy; 0x2fuy; 0x2cuy; 0xd5uy; 0x30uy; 0x9buy; 0x17uy; 0xb0uy; 0xc9uy; 0xf7uy; 0xa7uy; 0x2fuy; 0xd1uy; 0x93uy; 0x20uy; 0x6buy; 0xc6uy; 0xc1uy; 0xe4uy; 0x6fuy; 0xcbuy; 0xd1uy; 0xe7uy; 0x09uy; 0x0fuy; 0x9euy; 0xdcuy; 0xaauy; 0x9fuy; 0x2fuy; 0xdfuy; 0x56uy; 0x9fuy; 0xd4uy; 0x33uy; 0x04uy; 0xafuy; 0xd3uy; 0x6cuy; 0x58uy; 0x61uy; 0xf0uy; 0x30uy; 0xecuy; 0xf2uy; 0x7fuy; 0xf2uy; 0x9cuy; 0xdfuy; 0x39uy; 0xbbuy; 0x6fuy; 0xa2uy; 0x8cuy; 0x7euy; 0xc4uy; 0x22uy; 0x51uy; 0x71uy; 0xc0uy; 0x4duy; 0x14uy; 0x1auy; 0xc4uy; 0xcduy; 0x04uy; 0xd9uy; 0x87uy; 0x08uy; 0x50uy; 0x05uy; 0xccuy; 0xafuy; 0xf6uy; 0xf0uy; 0x8fuy; 0x92uy; 0x54uy; 0x58uy; 0xc2uy; 0xc7uy; 0x09uy; 0x7auy; 0x59uy; 0x02uy; 0x05uy; 0xe8uy; 0xb0uy; 0x86uy; 0xd9uy; 0xbfuy; 0x7buy; 0x35uy; 0x51uy; 0x4duy; 0xafuy; 0x08uy; 0x97uy; 0x2cuy; 0x65uy; 0xdauy; 0x2auy; 0x71uy; 0x3auy; 0xa8uy; 0x51uy; 0xccuy; 0xf2uy; 0x73uy; 0x27uy; 0xc3uy; 0xfduy; 0x62uy; 0xcfuy; 0xe3uy; 0xb2uy; 0xcauy; 0xcbuy; 0xbeuy; 0x1auy; 0x0auy; 0xa1uy; 0x34uy; 0x7buy; 0x77uy; 0xc4uy; 0x62uy; 0x68uy; 0x78uy; 0x5fuy; 0x94uy; 0x07uy; 0x04uy; 0x65uy; 0x16uy; 0x4buy; 0x61uy; 0xcbuy; 0xffuy; 0x75uy; 0x26uy; 0x50uy; 0x66uy; 0x1fuy; 0x6euy; 0x93uy; 0xf8uy; 0xc5uy; 0x51uy; 0xebuy; 0xa4uy; 0x4auy; 0x48uy; 0x68uy; 0x6buy; 0xe2uy; 0x5euy; 0x44uy; 0xb2uy; 0x50uy; 0x2cuy; 0x6cuy; 0xaeuy; 0x79uy; 0x4euy; 0x66uy; 0x35uy; 0x81uy; 0x50uy; 0xacuy; 0xbcuy; 0x3fuy; 0xb1uy; 0x0cuy; 0xf3uy; 0x05uy; 0x3cuy; 0x4auy; 0xa3uy; 0x6cuy; 0x2auy; 0x79uy; 0xb4uy; 0xb7uy; 0xabuy; 0xcauy; 0xc7uy; 0x9buy; 0x8euy; 0xcduy; 0x5fuy; 0x11uy; 0x03uy; 0xcbuy; 0x30uy; 0xa3uy; 0xabuy; 0xdauy; 0xfeuy; 0x64uy; 0xb9uy; 0xbbuy; 0xd8uy; 0x5euy; 0x3auy; 0x1auy; 0x56uy; 0xe5uy; 0x05uy; 0x48uy; 0x90uy; 0x1euy; 0x61uy; 0x69uy; 0x1buy; 0x22uy; 0xe6uy; 0x1auy; 0x3cuy; 0x75uy; 0xaduy; 0x1fuy; 0x37uy; 0x28uy; 0xdcuy; 0xe4uy; 0x6duy; 0xbduy; 0x42uy; 0xdcuy; 0xd3uy; 0xc8uy; 0xb6uy; 0x1cuy; 0x48uy; 0xfeuy; 0x94uy; 0x77uy; 0x7fuy; 0xbduy; 0x62uy; 0xacuy; 0xa3uy; 0x47uy; 0x27uy; 0xcfuy; 0x5fuy; 0xd9uy; 0xdbuy; 0xafuy; 0xecuy; 0xf7uy; 0x5euy; 0xc1uy; 0xb0uy; 0x9duy; 0x01uy; 0x26uy; 0x99uy; 0x7euy; 0x8fuy; 0x03uy; 0x70uy; 0xb5uy; 0x42uy; 0xbeuy; 0x67uy; 0x28uy; 0x1buy; 0x7cuy; 0xbduy; 0x61uy; 0x21uy; 0x97uy; 0xccuy; 0x5cuy; 0xe1uy; 0x97uy; 0x8fuy; 0x8duy; 0xdeuy; 0x2buy; 0xaauy; 0xa7uy; 0x71uy; 0x1duy; 0x1euy; 0x02uy; 0x73uy; 0x70uy; 0x58uy; 0x32uy; 0x5buy; 0x1duy; 0x67uy; 0x3duy; 0xe0uy; 0x74uy; 0x4fuy; 0x03uy; 0xf2uy; 0x70uy; 0x51uy; 0x79uy; 0xf1uy; 0x61uy; 0x70uy; 0x15uy; 0x74uy; 0x9duy; 0x23uy; 0x89uy; 0xdeuy; 0xacuy; 0xfduy; 0xdeuy; 0xd0uy; 0x1fuy; 0xc3uy; 0x87uy; 0x44uy; 0x35uy; 0x4buy; 0xe5uy; 0xb0uy; 0x60uy; 0xc5uy; 0x22uy; 0xe4uy; 0x9euy; 0xcauy; 0xebuy; 0xd5uy; 0x3auy; 0x09uy; 0x45uy; 0xa4uy; 0xdbuy; 0xfauy; 0x3fuy; 0xebuy; 0x1buy; 0xc7uy; 0xc8uy; 0x14uy; 0x99uy; 0x51uy; 0x92uy; 0x10uy; 0xeduy; 0xeduy; 0x28uy; 0xe0uy; 0xa1uy; 0xf8uy; 0x26uy; 0xcfuy; 0xcduy; 0xcbuy; 0x63uy; 0xa1uy; 0x3buy; 0xe3uy; 0xdfuy; 0x7euy; 0xfeuy; 0xa6uy; 0xf0uy; 0x81uy; 0x9auy; 0xbfuy; 0x55uy; 0xdeuy; 0x54uy; 0xd5uy; 0x56uy; 0x60uy; 0x98uy; 0x10uy; 0x68uy; 0xf4uy; 0x38uy; 0x96uy; 0x8euy; 0x6fuy; 0x1duy; 0x44uy; 0x7fuy; 0xd6uy; 0x2fuy; 0xfeuy; 0x55uy; 0xfbuy; 0x0cuy; 0x7euy; 0x67uy; 0xe2uy; 0x61uy; 0x44uy; 0xeduy; 0xf2uy; 0x35uy; 0x30uy; 0x5duy; 0xe9uy; 0xc7uy; 0xd6uy; 0x6duy; 0xe0uy; 0xa0uy; 0xeduy; 0xf3uy; 0xfcuy; 0xd8uy; 0x3euy; 0x0auy; 0x7buy; 0xcduy; 0xafuy; 0x65uy; 0x68uy; 0x18uy; 0xc0uy; 0xecuy; 0x04uy; 0x1cuy; 0x74uy; 0x6duy; 0xe2uy; 0x6euy; 0x79uy; 0xd4uy; 0x11uy; 0x2buy; 0x62uy; 0xd5uy; 0x27uy; 0xaduy; 0x4fuy; 0x01uy; 0x59uy; 0x73uy; 0xccuy; 0x6auy; 0x53uy; 0xfbuy; 0x2duy; 0xd5uy; 0x4euy; 0x99uy; 0x21uy; 0x65uy; 0x4duy; 0xf5uy; 0x82uy; 0xf7uy; 0xd8uy; 0x42uy; 0xceuy; 0x6fuy; 0x3duy; 0x36uy; 0x47uy; 0xf1uy; 0x05uy; 0x16uy; 0xe8uy; 0x1buy; 0x6auy; 0x8fuy; 0x93uy; 0xf2uy; 0x8fuy; 0x37uy; 0x40uy; 0x12uy; 0x28uy; 0xa3uy; 0xe6uy; 0xb9uy; 0x17uy; 0x4auy; 0x1fuy; 0xb1uy; 0xd1uy; 0x66uy; 0x69uy; 0x86uy; 0xc4uy; 0xfcuy; 0x97uy; 0xaeuy; 0x3fuy; 0x8fuy; 0x1euy; 0x2buy; 0xdfuy; 0xcduy; 0xf9uy; 0x3cuy; ] in assert_norm (List.Tot.length l = 1949); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output10_len: (x:UInt32.t { UInt32.v x = B.length output10 }) = 1949ul let key11: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xb3uy; 0x35uy; 0x50uy; 0x03uy; 0x54uy; 0x2euy; 0x40uy; 0x5euy; 0x8fuy; 0x59uy; 0x8euy; 0xc5uy; 0x90uy; 0xd5uy; 0x27uy; 0x2duy; 0xbauy; 0x29uy; 0x2euy; 0xcbuy; 0x1buy; 0x70uy; 0x44uy; 0x1euy; 0x65uy; 0x91uy; 0x6euy; 0x2auy; 0x79uy; 0x22uy; 0xdauy; 0x64uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key11_len: (x:UInt32.t { UInt32.v x = B.length key11 }) = 32ul let nonce11: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x05uy; 0xa3uy; 0x93uy; 0xeduy; 0x30uy; 0xc5uy; 0xa2uy; 0x06uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce11_len: (x:UInt32.t { UInt32.v x = B.length nonce11 }) = 12ul let aad11: (b: B.buffer UInt8.t { B.length b = 63 /\ B.recallable b }) = [@inline_let] let l = [ 0xb1uy; 0x69uy; 0x83uy; 0x87uy; 0x30uy; 0xaauy; 0x5duy; 0xb8uy; 0x77uy; 0xe8uy; 0x21uy; 0xffuy; 0x06uy; 0x59uy; 0x35uy; 0xceuy; 0x75uy; 0xfeuy; 0x38uy; 0xefuy; 0xb8uy; 0x91uy; 0x43uy; 0x8cuy; 0xcfuy; 0x70uy; 0xdduy; 0x0auy; 0x68uy; 0xbfuy; 0xd4uy; 0xbcuy; 0x16uy; 0x76uy; 0x99uy; 0x36uy; 0x1euy; 0x58uy; 0x79uy; 0x5euy; 0xd4uy; 0x29uy; 0xf7uy; 0x33uy; 0x93uy; 0x48uy; 0xdbuy; 0x5fuy; 0x01uy; 0xaeuy; 0x9cuy; 0xb6uy; 0xe4uy; 0x88uy; 0x6duy; 0x2buy; 0x76uy; 0x75uy; 0xe0uy; 0xf3uy; 0x74uy; 0xe2uy; 0xc9uy; ] in assert_norm (List.Tot.length l = 63); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad11_len: (x:UInt32.t { UInt32.v x = B.length aad11 }) = 63ul let input11: (b: B.buffer UInt8.t { B.length b = 2011 /\ B.recallable b /\ B.disjoint b aad11 }) = B.recall aad11;[@inline_let] let l = [ 0x74uy; 0xa6uy; 0x3euy; 0xe4uy; 0xb1uy; 0xcbuy; 0xafuy; 0xb0uy; 0x40uy; 0xe5uy; 0x0fuy; 0x9euy; 0xf1uy; 0xf2uy; 0x89uy; 0xb5uy; 0x42uy; 0x34uy; 0x8auy; 0xa1uy; 0x03uy; 0xb7uy; 0xe9uy; 0x57uy; 0x46uy; 0xbeuy; 0x20uy; 0xe4uy; 0x6euy; 0xb0uy; 0xebuy; 0xffuy; 0xeauy; 0x07uy; 0x7euy; 0xefuy; 0xe2uy; 0x55uy; 0x9fuy; 0xe5uy; 0x78uy; 0x3auy; 0xb7uy; 0x83uy; 0xc2uy; 0x18uy; 0x40uy; 0x7buy; 0xebuy; 0xcduy; 0x81uy; 0xfbuy; 0x90uy; 0x12uy; 0x9euy; 0x46uy; 0xa9uy; 0xd6uy; 0x4auy; 0xbauy; 0xb0uy; 0x62uy; 0xdbuy; 0x6buy; 0x99uy; 0xc4uy; 0xdbuy; 0x54uy; 0x4buy; 0xb8uy; 0xa5uy; 0x71uy; 0xcbuy; 0xcduy; 0x63uy; 0x32uy; 0x55uy; 0xfbuy; 0x31uy; 0xf0uy; 0x38uy; 0xf5uy; 0xbeuy; 0x78uy; 0xe4uy; 0x45uy; 0xceuy; 0x1buy; 0x6auy; 0x5buy; 0x0euy; 0xf4uy; 0x16uy; 0xe4uy; 0xb1uy; 0x3duy; 0xf6uy; 0x63uy; 0x7buy; 0xa7uy; 0x0cuy; 0xdeuy; 0x6fuy; 0x8fuy; 0x74uy; 0xdfuy; 0xe0uy; 0x1euy; 0x9duy; 0xceuy; 0x8fuy; 0x24uy; 0xefuy; 0x23uy; 0x35uy; 0x33uy; 0x7buy; 0x83uy; 0x34uy; 0x23uy; 0x58uy; 0x74uy; 0x14uy; 0x77uy; 0x1fuy; 0xc2uy; 0x4fuy; 0x4euy; 0xc6uy; 0x89uy; 0xf9uy; 0x52uy; 0x09uy; 0x37uy; 0x64uy; 0x14uy; 0xc4uy; 0x01uy; 0x6buy; 0x9duy; 0x77uy; 0xe8uy; 0x90uy; 0x5duy; 0xa8uy; 0x4auy; 0x2auy; 0xefuy; 0x5cuy; 0x7fuy; 0xebuy; 0xbbuy; 0xb2uy; 0xc6uy; 0x93uy; 0x99uy; 0x66uy; 0xdcuy; 0x7fuy; 0xd4uy; 0x9euy; 0x2auy; 0xcauy; 0x8duy; 0xdbuy; 0xe7uy; 0x20uy; 0xcfuy; 0xe4uy; 0x73uy; 0xaeuy; 0x49uy; 0x7duy; 0x64uy; 0x0fuy; 0x0euy; 0x28uy; 0x46uy; 0xa9uy; 0xa8uy; 0x32uy; 0xe4uy; 0x0euy; 0xf6uy; 0x51uy; 0x53uy; 0xb8uy; 0x3cuy; 0xb1uy; 0xffuy; 0xa3uy; 0x33uy; 0x41uy; 0x75uy; 0xffuy; 0xf1uy; 0x6fuy; 0xf1uy; 0xfbuy; 0xbbuy; 0x83uy; 0x7fuy; 0x06uy; 0x9buy; 0xe7uy; 0x1buy; 0x0auy; 0xe0uy; 0x5cuy; 0x33uy; 0x60uy; 0x5buy; 0xdbuy; 0x5buy; 0xeduy; 0xfeuy; 0xa5uy; 0x16uy; 0x19uy; 0x72uy; 0xa3uy; 0x64uy; 0x23uy; 0x00uy; 0x02uy; 0xc7uy; 0xf3uy; 0x6auy; 0x81uy; 0x3euy; 0x44uy; 0x1duy; 0x79uy; 0x15uy; 0x5fuy; 0x9auy; 0xdeuy; 0xe2uy; 0xfduy; 0x1buy; 0x73uy; 0xc1uy; 0xbcuy; 0x23uy; 0xbauy; 0x31uy; 0xd2uy; 0x50uy; 0xd5uy; 0xaduy; 0x7fuy; 0x74uy; 0xa7uy; 0xc9uy; 0xf8uy; 0x3euy; 0x2buy; 0x26uy; 0x10uy; 0xf6uy; 0x03uy; 0x36uy; 0x74uy; 0xe4uy; 0x0euy; 0x6auy; 0x72uy; 0xb7uy; 0x73uy; 0x0auy; 0x42uy; 0x28uy; 0xc2uy; 0xaduy; 0x5euy; 0x03uy; 0xbeuy; 0xb8uy; 0x0buy; 0xa8uy; 0x5buy; 0xd4uy; 0xb8uy; 0xbauy; 0x52uy; 0x89uy; 0xb1uy; 0x9buy; 0xc1uy; 0xc3uy; 0x65uy; 0x87uy; 0xeduy; 0xa5uy; 0xf4uy; 0x86uy; 0xfduy; 0x41uy; 0x80uy; 0x91uy; 0x27uy; 0x59uy; 0x53uy; 0x67uy; 0x15uy; 0x78uy; 0x54uy; 0x8buy; 0x2duy; 0x3duy; 0xc7uy; 0xffuy; 0x02uy; 0x92uy; 0x07uy; 0x5fuy; 0x7auy; 0x4buy; 0x60uy; 0x59uy; 0x3cuy; 0x6fuy; 0x5cuy; 0xd8uy; 0xecuy; 0x95uy; 0xd2uy; 0xfeuy; 0xa0uy; 0x3buy; 0xd8uy; 0x3fuy; 0xd1uy; 0x69uy; 0xa6uy; 0xd6uy; 0x41uy; 0xb2uy; 0xf4uy; 0x4duy; 0x12uy; 0xf4uy; 0x58uy; 0x3euy; 0x66uy; 0x64uy; 0x80uy; 0x31uy; 0x9buy; 0xa8uy; 0x4cuy; 0x8buy; 0x07uy; 0xb2uy; 0xecuy; 0x66uy; 0x94uy; 0x66uy; 0x47uy; 0x50uy; 0x50uy; 0x5fuy; 0x18uy; 0x0buy; 0x0euy; 0xd6uy; 0xc0uy; 0x39uy; 0x21uy; 0x13uy; 0x9euy; 0x33uy; 0xbcuy; 0x79uy; 0x36uy; 0x02uy; 0x96uy; 0x70uy; 0xf0uy; 0x48uy; 0x67uy; 0x2fuy; 0x26uy; 0xe9uy; 0x6duy; 0x10uy; 0xbbuy; 0xd6uy; 0x3fuy; 0xd1uy; 0x64uy; 0x7auy; 0x2euy; 0xbeuy; 0x0cuy; 0x61uy; 0xf0uy; 0x75uy; 0x42uy; 0x38uy; 0x23uy; 0xb1uy; 0x9euy; 0x9fuy; 0x7cuy; 0x67uy; 0x66uy; 0xd9uy; 0x58uy; 0x9auy; 0xf1uy; 0xbbuy; 0x41uy; 0x2auy; 0x8duy; 0x65uy; 0x84uy; 0x94uy; 0xfcuy; 0xdcuy; 0x6auy; 0x50uy; 0x64uy; 0xdbuy; 0x56uy; 0x33uy; 0x76uy; 0x00uy; 0x10uy; 0xeduy; 0xbeuy; 0xd2uy; 0x12uy; 0xf6uy; 0xf6uy; 0x1buy; 0xa2uy; 0x16uy; 0xdeuy; 0xaeuy; 0x31uy; 0x95uy; 0xdduy; 0xb1uy; 0x08uy; 0x7euy; 0x4euy; 0xeeuy; 0xe7uy; 0xf9uy; 0xa5uy; 0xfbuy; 0x5buy; 0x61uy; 0x43uy; 0x00uy; 0x40uy; 0xf6uy; 0x7euy; 0x02uy; 0x04uy; 0x32uy; 0x4euy; 0x0cuy; 0xe2uy; 0x66uy; 0x0duy; 0xd7uy; 0x07uy; 0x98uy; 0x0euy; 0xf8uy; 0x72uy; 0x34uy; 0x6duy; 0x95uy; 0x86uy; 0xd7uy; 0xcbuy; 0x31uy; 0x54uy; 0x47uy; 0xd0uy; 0x38uy; 0x29uy; 0x9cuy; 0x5auy; 0x68uy; 0xd4uy; 0x87uy; 0x76uy; 0xc9uy; 0xe7uy; 0x7euy; 0xe3uy; 0xf4uy; 0x81uy; 0x6duy; 0x18uy; 0xcbuy; 0xc9uy; 0x05uy; 0xafuy; 0xa0uy; 0xfbuy; 0x66uy; 0xf7uy; 0xf1uy; 0x1cuy; 0xc6uy; 0x14uy; 0x11uy; 0x4fuy; 0x2buy; 0x79uy; 0x42uy; 0x8buy; 0xbcuy; 0xacuy; 0xe7uy; 0x6cuy; 0xfeuy; 0x0fuy; 0x58uy; 0xe7uy; 0x7cuy; 0x78uy; 0x39uy; 0x30uy; 0xb0uy; 0x66uy; 0x2cuy; 0x9buy; 0x6duy; 0x3auy; 0xe1uy; 0xcfuy; 0xc9uy; 0xa4uy; 0x0euy; 0x6duy; 0x6duy; 0x8auy; 0xa1uy; 0x3auy; 0xe7uy; 0x28uy; 0xd4uy; 0x78uy; 0x4cuy; 0xa6uy; 0xa2uy; 0x2auy; 0xa6uy; 0x03uy; 0x30uy; 0xd7uy; 0xa8uy; 0x25uy; 0x66uy; 0x87uy; 0x2fuy; 0x69uy; 0x5cuy; 0x4euy; 0xdduy; 0xa5uy; 0x49uy; 0x5duy; 0x37uy; 0x4auy; 0x59uy; 0xc4uy; 0xafuy; 0x1fuy; 0xa2uy; 0xe4uy; 0xf8uy; 0xa6uy; 0x12uy; 0x97uy; 0xd5uy; 0x79uy; 0xf5uy; 0xe2uy; 0x4auy; 0x2buy; 0x5fuy; 0x61uy; 0xe4uy; 0x9euy; 0xe3uy; 0xeeuy; 0xb8uy; 0xa7uy; 0x5buy; 0x2fuy; 0xf4uy; 0x9euy; 0x6cuy; 0xfbuy; 0xd1uy; 0xc6uy; 0x56uy; 0x77uy; 0xbauy; 0x75uy; 0xaauy; 0x3duy; 0x1auy; 0xa8uy; 0x0buy; 0xb3uy; 0x68uy; 0x24uy; 0x00uy; 0x10uy; 0x7fuy; 0xfduy; 0xd7uy; 0xa1uy; 0x8duy; 0x83uy; 0x54uy; 0x4fuy; 0x1fuy; 0xd8uy; 0x2auy; 0xbeuy; 0x8auy; 0x0cuy; 0x87uy; 0xabuy; 0xa2uy; 0xdeuy; 0xc3uy; 0x39uy; 0xbfuy; 0x09uy; 0x03uy; 0xa5uy; 0xf3uy; 0x05uy; 0x28uy; 0xe1uy; 0xe1uy; 0xeeuy; 0x39uy; 0x70uy; 0x9cuy; 0xd8uy; 0x81uy; 0x12uy; 0x1euy; 0x02uy; 0x40uy; 0xd2uy; 0x6euy; 0xf0uy; 0xebuy; 0x1buy; 0x3duy; 0x22uy; 0xc6uy; 0xe5uy; 0xe3uy; 0xb4uy; 0x5auy; 0x98uy; 0xbbuy; 0xf0uy; 0x22uy; 0x28uy; 0x8duy; 0xe5uy; 0xd3uy; 0x16uy; 0x48uy; 0x24uy; 0xa5uy; 0xe6uy; 0x66uy; 0x0cuy; 0xf9uy; 0x08uy; 0xf9uy; 0x7euy; 0x1euy; 0xe1uy; 0x28uy; 0x26uy; 0x22uy; 0xc7uy; 0xc7uy; 0x0auy; 0x32uy; 0x47uy; 0xfauy; 0xa3uy; 0xbeuy; 0x3cuy; 0xc4uy; 0xc5uy; 0x53uy; 0x0auy; 0xd5uy; 0x94uy; 0x4auy; 0xd7uy; 0x93uy; 0xd8uy; 0x42uy; 0x99uy; 0xb9uy; 0x0auy; 0xdbuy; 0x56uy; 0xf7uy; 0xb9uy; 0x1cuy; 0x53uy; 0x4fuy; 0xfauy; 0xd3uy; 0x74uy; 0xaduy; 0xd9uy; 0x68uy; 0xf1uy; 0x1buy; 0xdfuy; 0x61uy; 0xc6uy; 0x5euy; 0xa8uy; 0x48uy; 0xfcuy; 0xd4uy; 0x4auy; 0x4cuy; 0x3cuy; 0x32uy; 0xf7uy; 0x1cuy; 0x96uy; 0x21uy; 0x9buy; 0xf9uy; 0xa3uy; 0xccuy; 0x5auy; 0xceuy; 0xd5uy; 0xd7uy; 0x08uy; 0x24uy; 0xf6uy; 0x1cuy; 0xfduy; 0xdduy; 0x38uy; 0xc2uy; 0x32uy; 0xe9uy; 0xb8uy; 0xe7uy; 0xb6uy; 0xfauy; 0x9duy; 0x45uy; 0x13uy; 0x2cuy; 0x83uy; 0xfduy; 0x4auy; 0x69uy; 0x82uy; 0xcduy; 0xdcuy; 0xb3uy; 0x76uy; 0x0cuy; 0x9euy; 0xd8uy; 0xf4uy; 0x1buy; 0x45uy; 0x15uy; 0xb4uy; 0x97uy; 0xe7uy; 0x58uy; 0x34uy; 0xe2uy; 0x03uy; 0x29uy; 0x5auy; 0xbfuy; 0xb6uy; 0xe0uy; 0x5duy; 0x13uy; 0xd9uy; 0x2buy; 0xb4uy; 0x80uy; 0xb2uy; 0x45uy; 0x81uy; 0x6auy; 0x2euy; 0x6cuy; 0x89uy; 0x7duy; 0xeeuy; 0xbbuy; 0x52uy; 0xdduy; 0x1fuy; 0x18uy; 0xe7uy; 0x13uy; 0x6buy; 0x33uy; 0x0euy; 0xeauy; 0x36uy; 0x92uy; 0x77uy; 0x7buy; 0x6duy; 0x9cuy; 0x5auy; 0x5fuy; 0x45uy; 0x7buy; 0x7buy; 0x35uy; 0x62uy; 0x23uy; 0xd1uy; 0xbfuy; 0x0fuy; 0xd0uy; 0x08uy; 0x1buy; 0x2buy; 0x80uy; 0x6buy; 0x7euy; 0xf1uy; 0x21uy; 0x47uy; 0xb0uy; 0x57uy; 0xd1uy; 0x98uy; 0x72uy; 0x90uy; 0x34uy; 0x1cuy; 0x20uy; 0x04uy; 0xffuy; 0x3duy; 0x5cuy; 0xeeuy; 0x0euy; 0x57uy; 0x5fuy; 0x6fuy; 0x24uy; 0x4euy; 0x3cuy; 0xeauy; 0xfcuy; 0xa5uy; 0xa9uy; 0x83uy; 0xc9uy; 0x61uy; 0xb4uy; 0x51uy; 0x24uy; 0xf8uy; 0x27uy; 0x5euy; 0x46uy; 0x8cuy; 0xb1uy; 0x53uy; 0x02uy; 0x96uy; 0x35uy; 0xbauy; 0xb8uy; 0x4cuy; 0x71uy; 0xd3uy; 0x15uy; 0x59uy; 0x35uy; 0x22uy; 0x20uy; 0xaduy; 0x03uy; 0x9fuy; 0x66uy; 0x44uy; 0x3buy; 0x9cuy; 0x35uy; 0x37uy; 0x1fuy; 0x9buy; 0xbbuy; 0xf3uy; 0xdbuy; 0x35uy; 0x63uy; 0x30uy; 0x64uy; 0xaauy; 0xa2uy; 0x06uy; 0xa8uy; 0x5duy; 0xbbuy; 0xe1uy; 0x9fuy; 0x70uy; 0xecuy; 0x82uy; 0x11uy; 0x06uy; 0x36uy; 0xecuy; 0x8buy; 0x69uy; 0x66uy; 0x24uy; 0x44uy; 0xc9uy; 0x4auy; 0x57uy; 0xbbuy; 0x9buy; 0x78uy; 0x13uy; 0xceuy; 0x9cuy; 0x0cuy; 0xbauy; 0x92uy; 0x93uy; 0x63uy; 0xb8uy; 0xe2uy; 0x95uy; 0x0fuy; 0x0fuy; 0x16uy; 0x39uy; 0x52uy; 0xfduy; 0x3auy; 0x6duy; 0x02uy; 0x4buy; 0xdfuy; 0x13uy; 0xd3uy; 0x2auy; 0x22uy; 0xb4uy; 0x03uy; 0x7cuy; 0x54uy; 0x49uy; 0x96uy; 0x68uy; 0x54uy; 0x10uy; 0xfauy; 0xefuy; 0xaauy; 0x6cuy; 0xe8uy; 0x22uy; 0xdcuy; 0x71uy; 0x16uy; 0x13uy; 0x1auy; 0xf6uy; 0x28uy; 0xe5uy; 0x6duy; 0x77uy; 0x3duy; 0xcduy; 0x30uy; 0x63uy; 0xb1uy; 0x70uy; 0x52uy; 0xa1uy; 0xc5uy; 0x94uy; 0x5fuy; 0xcfuy; 0xe8uy; 0xb8uy; 0x26uy; 0x98uy; 0xf7uy; 0x06uy; 0xa0uy; 0x0auy; 0x70uy; 0xfauy; 0x03uy; 0x80uy; 0xacuy; 0xc1uy; 0xecuy; 0xd6uy; 0x4cuy; 0x54uy; 0xd7uy; 0xfeuy; 0x47uy; 0xb6uy; 0x88uy; 0x4auy; 0xf7uy; 0x71uy; 0x24uy; 0xeeuy; 0xf3uy; 0xd2uy; 0xc2uy; 0x4auy; 0x7fuy; 0xfeuy; 0x61uy; 0xc7uy; 0x35uy; 0xc9uy; 0x37uy; 0x67uy; 0xcbuy; 0x24uy; 0x35uy; 0xdauy; 0x7euy; 0xcauy; 0x5fuy; 0xf3uy; 0x8duy; 0xd4uy; 0x13uy; 0x8euy; 0xd6uy; 0xcbuy; 0x4duy; 0x53uy; 0x8fuy; 0x53uy; 0x1fuy; 0xc0uy; 0x74uy; 0xf7uy; 0x53uy; 0xb9uy; 0x5euy; 0x23uy; 0x37uy; 0xbauy; 0x6euy; 0xe3uy; 0x9duy; 0x07uy; 0x55uy; 0x25uy; 0x7buy; 0xe6uy; 0x2auy; 0x64uy; 0xd1uy; 0x32uy; 0xdduy; 0x54uy; 0x1buy; 0x4buy; 0xc0uy; 0xe1uy; 0xd7uy; 0x69uy; 0x58uy; 0xf8uy; 0x93uy; 0x29uy; 0xc4uy; 0xdduy; 0x23uy; 0x2fuy; 0xa5uy; 0xfcuy; 0x9duy; 0x7euy; 0xf8uy; 0xd4uy; 0x90uy; 0xcduy; 0x82uy; 0x55uy; 0xdcuy; 0x16uy; 0x16uy; 0x9fuy; 0x07uy; 0x52uy; 0x9buy; 0x9duy; 0x25uy; 0xeduy; 0x32uy; 0xc5uy; 0x7buy; 0xdfuy; 0xf6uy; 0x83uy; 0x46uy; 0x3duy; 0x65uy; 0xb7uy; 0xefuy; 0x87uy; 0x7auy; 0x12uy; 0x69uy; 0x8fuy; 0x06uy; 0x7cuy; 0x51uy; 0x15uy; 0x4auy; 0x08uy; 0xe8uy; 0xacuy; 0x9auy; 0x0cuy; 0x24uy; 0xa7uy; 0x27uy; 0xd8uy; 0x46uy; 0x2fuy; 0xe7uy; 0x01uy; 0x0euy; 0x1cuy; 0xc6uy; 0x91uy; 0xb0uy; 0x6euy; 0x85uy; 0x65uy; 0xf0uy; 0x29uy; 0x0duy; 0x2euy; 0x6buy; 0x3buy; 0xfbuy; 0x4buy; 0xdfuy; 0xe4uy; 0x80uy; 0x93uy; 0x03uy; 0x66uy; 0x46uy; 0x3euy; 0x8auy; 0x6euy; 0xf3uy; 0x5euy; 0x4duy; 0x62uy; 0x0euy; 0x49uy; 0x05uy; 0xafuy; 0xd4uy; 0xf8uy; 0x21uy; 0x20uy; 0x61uy; 0x1duy; 0x39uy; 0x17uy; 0xf4uy; 0x61uy; 0x47uy; 0x95uy; 0xfbuy; 0x15uy; 0x2euy; 0xb3uy; 0x4fuy; 0xd0uy; 0x5duy; 0xf5uy; 0x7duy; 0x40uy; 0xdauy; 0x90uy; 0x3cuy; 0x6buy; 0xcbuy; 0x17uy; 0x00uy; 0x13uy; 0x3buy; 0x64uy; 0x34uy; 0x1buy; 0xf0uy; 0xf2uy; 0xe5uy; 0x3buy; 0xb2uy; 0xc7uy; 0xd3uy; 0x5fuy; 0x3auy; 0x44uy; 0xa6uy; 0x9buy; 0xb7uy; 0x78uy; 0x0euy; 0x42uy; 0x5duy; 0x4cuy; 0xc1uy; 0xe9uy; 0xd2uy; 0xcbuy; 0xb7uy; 0x78uy; 0xd1uy; 0xfeuy; 0x9auy; 0xb5uy; 0x07uy; 0xe9uy; 0xe0uy; 0xbeuy; 0xe2uy; 0x8auy; 0xa7uy; 0x01uy; 0x83uy; 0x00uy; 0x8cuy; 0x5cuy; 0x08uy; 0xe6uy; 0x63uy; 0x12uy; 0x92uy; 0xb7uy; 0xb7uy; 0xa6uy; 0x19uy; 0x7duy; 0x38uy; 0x13uy; 0x38uy; 0x92uy; 0x87uy; 0x24uy; 0xf9uy; 0x48uy; 0xb3uy; 0x5euy; 0x87uy; 0x6auy; 0x40uy; 0x39uy; 0x5cuy; 0x3fuy; 0xeduy; 0x8fuy; 0xeeuy; 0xdbuy; 0x15uy; 0x82uy; 0x06uy; 0xdauy; 0x49uy; 0x21uy; 0x2buy; 0xb5uy; 0xbfuy; 0x32uy; 0x7cuy; 0x9fuy; 0x42uy; 0x28uy; 0x63uy; 0xcfuy; 0xafuy; 0x1euy; 0xf8uy; 0xc6uy; 0xa0uy; 0xd1uy; 0x02uy; 0x43uy; 0x57uy; 0x62uy; 0xecuy; 0x9buy; 0x0fuy; 0x01uy; 0x9euy; 0x71uy; 0xd8uy; 0x87uy; 0x9duy; 0x01uy; 0xc1uy; 0x58uy; 0x77uy; 0xd9uy; 0xafuy; 0xb1uy; 0x10uy; 0x7euy; 0xdduy; 0xa6uy; 0x50uy; 0x96uy; 0xe5uy; 0xf0uy; 0x72uy; 0x00uy; 0x6duy; 0x4buy; 0xf8uy; 0x2auy; 0x8fuy; 0x19uy; 0xf3uy; 0x22uy; 0x88uy; 0x11uy; 0x4auy; 0x8buy; 0x7cuy; 0xfduy; 0xb7uy; 0xeduy; 0xe1uy; 0xf6uy; 0x40uy; 0x39uy; 0xe0uy; 0xe9uy; 0xf6uy; 0x3duy; 0x25uy; 0xe6uy; 0x74uy; 0x3cuy; 0x58uy; 0x57uy; 0x7fuy; 0xe1uy; 0x22uy; 0x96uy; 0x47uy; 0x31uy; 0x91uy; 0xbauy; 0x70uy; 0x85uy; 0x28uy; 0x6buy; 0x9fuy; 0x6euy; 0x25uy; 0xacuy; 0x23uy; 0x66uy; 0x2fuy; 0x29uy; 0x88uy; 0x28uy; 0xceuy; 0x8cuy; 0x5cuy; 0x88uy; 0x53uy; 0xd1uy; 0x3buy; 0xccuy; 0x6auy; 0x51uy; 0xb2uy; 0xe1uy; 0x28uy; 0x3fuy; 0x91uy; 0xb4uy; 0x0duy; 0x00uy; 0x3auy; 0xe3uy; 0xf8uy; 0xc3uy; 0x8fuy; 0xd7uy; 0x96uy; 0x62uy; 0x0euy; 0x2euy; 0xfcuy; 0xc8uy; 0x6cuy; 0x77uy; 0xa6uy; 0x1duy; 0x22uy; 0xc1uy; 0xb8uy; 0xe6uy; 0x61uy; 0xd7uy; 0x67uy; 0x36uy; 0x13uy; 0x7buy; 0xbbuy; 0x9buy; 0x59uy; 0x09uy; 0xa6uy; 0xdfuy; 0xf7uy; 0x6buy; 0xa3uy; 0x40uy; 0x1auy; 0xf5uy; 0x4fuy; 0xb4uy; 0xdauy; 0xd3uy; 0xf3uy; 0x81uy; 0x93uy; 0xc6uy; 0x18uy; 0xd9uy; 0x26uy; 0xeeuy; 0xacuy; 0xf0uy; 0xaauy; 0xdfuy; 0xc5uy; 0x9cuy; 0xcauy; 0xc2uy; 0xa2uy; 0xccuy; 0x7buy; 0x5cuy; 0x24uy; 0xb0uy; 0xbcuy; 0xd0uy; 0x6auy; 0x4duy; 0x89uy; 0x09uy; 0xb8uy; 0x07uy; 0xfeuy; 0x87uy; 0xaduy; 0x0auy; 0xeauy; 0xb8uy; 0x42uy; 0xf9uy; 0x5euy; 0xb3uy; 0x3euy; 0x36uy; 0x4cuy; 0xafuy; 0x75uy; 0x9euy; 0x1cuy; 0xebuy; 0xbduy; 0xbcuy; 0xbbuy; 0x80uy; 0x40uy; 0xa7uy; 0x3auy; 0x30uy; 0xbfuy; 0xa8uy; 0x44uy; 0xf4uy; 0xebuy; 0x38uy; 0xaduy; 0x29uy; 0xbauy; 0x23uy; 0xeduy; 0x41uy; 0x0cuy; 0xeauy; 0xd2uy; 0xbbuy; 0x41uy; 0x18uy; 0xd6uy; 0xb9uy; 0xbauy; 0x65uy; 0x2buy; 0xa3uy; 0x91uy; 0x6duy; 0x1fuy; 0xa9uy; 0xf4uy; 0xd1uy; 0x25uy; 0x8duy; 0x4duy; 0x38uy; 0xffuy; 0x64uy; 0xa0uy; 0xecuy; 0xdeuy; 0xa6uy; 0xb6uy; 0x79uy; 0xabuy; 0x8euy; 0x33uy; 0x6cuy; 0x47uy; 0xdeuy; 0xafuy; 0x94uy; 0xa4uy; 0xa5uy; 0x86uy; 0x77uy; 0x55uy; 0x09uy; 0x92uy; 0x81uy; 0x31uy; 0x76uy; 0xc7uy; 0x34uy; 0x22uy; 0x89uy; 0x8euy; 0x3duy; 0x26uy; 0x26uy; 0xd7uy; 0xfcuy; 0x1euy; 0x16uy; 0x72uy; 0x13uy; 0x33uy; 0x63uy; 0xd5uy; 0x22uy; 0xbeuy; 0xb8uy; 0x04uy; 0x34uy; 0x84uy; 0x41uy; 0xbbuy; 0x80uy; 0xd0uy; 0x9fuy; 0x46uy; 0x48uy; 0x07uy; 0xa7uy; 0xfcuy; 0x2buy; 0x3auy; 0x75uy; 0x55uy; 0x8cuy; 0xc7uy; 0x6auy; 0xbduy; 0x7euy; 0x46uy; 0x08uy; 0x84uy; 0x0fuy; 0xd5uy; 0x74uy; 0xc0uy; 0x82uy; 0x8euy; 0xaauy; 0x61uy; 0x05uy; 0x01uy; 0xb2uy; 0x47uy; 0x6euy; 0x20uy; 0x6auy; 0x2duy; 0x58uy; 0x70uy; 0x48uy; 0x32uy; 0xa7uy; 0x37uy; 0xd2uy; 0xb8uy; 0x82uy; 0x1auy; 0x51uy; 0xb9uy; 0x61uy; 0xdduy; 0xfduy; 0x9duy; 0x6buy; 0x0euy; 0x18uy; 0x97uy; 0xf8uy; 0x45uy; 0x5fuy; 0x87uy; 0x10uy; 0xcfuy; 0x34uy; 0x72uy; 0x45uy; 0x26uy; 0x49uy; 0x70uy; 0xe7uy; 0xa3uy; 0x78uy; 0xe0uy; 0x52uy; 0x89uy; 0x84uy; 0x94uy; 0x83uy; 0x82uy; 0xc2uy; 0x69uy; 0x8fuy; 0xe3uy; 0xe1uy; 0x3fuy; 0x60uy; 0x74uy; 0x88uy; 0xc4uy; 0xf7uy; 0x75uy; 0x2cuy; 0xfbuy; 0xbduy; 0xb6uy; 0xc4uy; 0x7euy; 0x10uy; 0x0auy; 0x6cuy; 0x90uy; 0x04uy; 0x9euy; 0xc3uy; 0x3fuy; 0x59uy; 0x7cuy; 0xceuy; 0x31uy; 0x18uy; 0x60uy; 0x57uy; 0x73uy; 0x46uy; 0x94uy; 0x7duy; 0x06uy; 0xa0uy; 0x6duy; 0x44uy; 0xecuy; 0xa2uy; 0x0auy; 0x9euy; 0x05uy; 0x15uy; 0xefuy; 0xcauy; 0x5cuy; 0xbfuy; 0x00uy; 0xebuy; 0xf7uy; 0x3duy; 0x32uy; 0xd4uy; 0xa5uy; 0xefuy; 0x49uy; 0x89uy; 0x5euy; 0x46uy; 0xb0uy; 0xa6uy; 0x63uy; 0x5buy; 0x8auy; 0x73uy; 0xaeuy; 0x6fuy; 0xd5uy; 0x9duy; 0xf8uy; 0x4fuy; 0x40uy; 0xb5uy; 0xb2uy; 0x6euy; 0xd3uy; 0xb6uy; 0x01uy; 0xa9uy; 0x26uy; 0xa2uy; 0x21uy; 0xcfuy; 0x33uy; 0x7auy; 0x3auy; 0xa4uy; 0x23uy; 0x13uy; 0xb0uy; 0x69uy; 0x6auy; 0xeeuy; 0xceuy; 0xd8uy; 0x9duy; 0x01uy; 0x1duy; 0x50uy; 0xc1uy; 0x30uy; 0x6cuy; 0xb1uy; 0xcduy; 0xa0uy; 0xf0uy; 0xf0uy; 0xa2uy; 0x64uy; 0x6fuy; 0xbbuy; 0xbfuy; 0x5euy; 0xe6uy; 0xabuy; 0x87uy; 0xb4uy; 0x0fuy; 0x4fuy; 0x15uy; 0xafuy; 0xb5uy; 0x25uy; 0xa1uy; 0xb2uy; 0xd0uy; 0x80uy; 0x2cuy; 0xfbuy; 0xf9uy; 0xfeuy; 0xd2uy; 0x33uy; 0xbbuy; 0x76uy; 0xfeuy; 0x7cuy; 0xa8uy; 0x66uy; 0xf7uy; 0xe7uy; 0x85uy; 0x9fuy; 0x1fuy; 0x85uy; 0x57uy; 0x88uy; 0xe1uy; 0xe9uy; 0x63uy; 0xe4uy; 0xd8uy; 0x1cuy; 0xa1uy; 0xfbuy; 0xdauy; 0x44uy; 0x05uy; 0x2euy; 0x1duy; 0x3auy; 0x1cuy; 0xffuy; 0xc8uy; 0x3buy; 0xc0uy; 0xfeuy; 0xdauy; 0x22uy; 0x0buy; 0x43uy; 0xd6uy; 0x88uy; 0x39uy; 0x4cuy; 0x4auy; 0xa6uy; 0x69uy; 0x18uy; 0x93uy; 0x42uy; 0x4euy; 0xb5uy; 0xccuy; 0x66uy; 0x0duy; 0x09uy; 0xf8uy; 0x1euy; 0x7cuy; 0xd3uy; 0x3cuy; 0x99uy; 0x0duy; 0x50uy; 0x1duy; 0x62uy; 0xe9uy; 0x57uy; 0x06uy; 0xbfuy; 0x19uy; 0x88uy; 0xdduy; 0xaduy; 0x7buy; 0x4fuy; 0xf9uy; 0xc7uy; 0x82uy; 0x6duy; 0x8duy; 0xc8uy; 0xc4uy; 0xc5uy; 0x78uy; 0x17uy; 0x20uy; 0x15uy; 0xc5uy; 0x52uy; 0x41uy; 0xcfuy; 0x5buy; 0xd6uy; 0x7fuy; 0x94uy; 0x02uy; 0x41uy; 0xe0uy; 0x40uy; 0x22uy; 0x03uy; 0x5euy; 0xd1uy; 0x53uy; 0xd4uy; 0x86uy; 0xd3uy; 0x2cuy; 0x9fuy; 0x0fuy; 0x96uy; 0xe3uy; 0x6buy; 0x9auy; 0x76uy; 0x32uy; 0x06uy; 0x47uy; 0x4buy; 0x11uy; 0xb3uy; 0xdduy; 0x03uy; 0x65uy; 0xbduy; 0x9buy; 0x01uy; 0xdauy; 0x9cuy; 0xb9uy; 0x7euy; 0x3fuy; 0x6auy; 0xc4uy; 0x7buy; 0xeauy; 0xd4uy; 0x3cuy; 0xb9uy; 0xfbuy; 0x5cuy; 0x6buy; 0x64uy; 0x33uy; 0x52uy; 0xbauy; 0x64uy; 0x78uy; 0x8fuy; 0xa4uy; 0xafuy; 0x7auy; 0x61uy; 0x8duy; 0xbcuy; 0xc5uy; 0x73uy; 0xe9uy; 0x6buy; 0x58uy; 0x97uy; 0x4buy; 0xbfuy; 0x63uy; 0x22uy; 0xd3uy; 0x37uy; 0x02uy; 0x54uy; 0xc5uy; 0xb9uy; 0x16uy; 0x4auy; 0xf0uy; 0x19uy; 0xd8uy; 0x94uy; 0x57uy; 0xb8uy; 0x8auy; 0xb3uy; 0x16uy; 0x3buy; 0xd0uy; 0x84uy; 0x8euy; 0x67uy; 0xa6uy; 0xa3uy; 0x7duy; 0x78uy; 0xecuy; 0x00uy; ] in assert_norm (List.Tot.length l = 2011); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input11_len: (x:UInt32.t { UInt32.v x = B.length input11 }) = 2011ul let output11: (b: B.buffer UInt8.t { B.length b = 2027 /\ B.recallable b }) = [@inline_let] let l = [ 0x52uy; 0x34uy; 0xb3uy; 0x65uy; 0x3buy; 0xb7uy; 0xe5uy; 0xd3uy; 0xabuy; 0x49uy; 0x17uy; 0x60uy; 0xd2uy; 0x52uy; 0x56uy; 0xdfuy; 0xdfuy; 0x34uy; 0x56uy; 0x82uy; 0xe2uy; 0xbeuy; 0xe5uy; 0xe1uy; 0x28uy; 0xd1uy; 0x4euy; 0x5fuy; 0x4fuy; 0x01uy; 0x7duy; 0x3fuy; 0x99uy; 0x6buy; 0x30uy; 0x6euy; 0x1auy; 0x7cuy; 0x4cuy; 0x8euy; 0x62uy; 0x81uy; 0xaeuy; 0x86uy; 0x3fuy; 0x6buy; 0xd0uy; 0xb5uy; 0xa9uy; 0xcfuy; 0x50uy; 0xf1uy; 0x02uy; 0x12uy; 0xa0uy; 0x0buy; 0x24uy; 0xe9uy; 0xe6uy; 0x72uy; 0x89uy; 0x2cuy; 0x52uy; 0x1buy; 0x34uy; 0x38uy; 0xf8uy; 0x75uy; 0x5fuy; 0xa0uy; 0x74uy; 0xe2uy; 0x99uy; 0xdduy; 0xa6uy; 0x4buy; 0x14uy; 0x50uy; 0x4euy; 0xf1uy; 0xbeuy; 0xd6uy; 0x9euy; 0xdbuy; 0xb2uy; 0x24uy; 0x27uy; 0x74uy; 0x12uy; 0x4auy; 0x78uy; 0x78uy; 0x17uy; 0xa5uy; 0x58uy; 0x8euy; 0x2fuy; 0xf9uy; 0xf4uy; 0x8duy; 0xeeuy; 0x03uy; 0x88uy; 0xaeuy; 0xb8uy; 0x29uy; 0xa1uy; 0x2fuy; 0x4buy; 0xeeuy; 0x92uy; 0xbduy; 0x87uy; 0xb3uy; 0xceuy; 0x34uy; 0x21uy; 0x57uy; 0x46uy; 0x04uy; 0x49uy; 0x0cuy; 0x80uy; 0xf2uy; 0x01uy; 0x13uy; 0xa1uy; 0x55uy; 0xb3uy; 0xffuy; 0x44uy; 0x30uy; 0x3cuy; 0x1cuy; 0xd0uy; 0xefuy; 0xbcuy; 0x18uy; 0x74uy; 0x26uy; 0xaduy; 0x41uy; 0x5buy; 0x5buy; 0x3euy; 0x9auy; 0x7auy; 0x46uy; 0x4fuy; 0x16uy; 0xd6uy; 0x74uy; 0x5auy; 0xb7uy; 0x3auy; 0x28uy; 0x31uy; 0xd8uy; 0xaeuy; 0x26uy; 0xacuy; 0x50uy; 0x53uy; 0x86uy; 0xf2uy; 0x56uy; 0xd7uy; 0x3fuy; 0x29uy; 0xbcuy; 0x45uy; 0x68uy; 0x8euy; 0xcbuy; 0x98uy; 0x64uy; 0xdduy; 0xc9uy; 0xbauy; 0xb8uy; 0x4buy; 0x7buy; 0x82uy; 0xdduy; 0x14uy; 0xa7uy; 0xcbuy; 0x71uy; 0x72uy; 0x00uy; 0x5cuy; 0xaduy; 0x7buy; 0x6auy; 0x89uy; 0xa4uy; 0x3duy; 0xbfuy; 0xb5uy; 0x4buy; 0x3euy; 0x7cuy; 0x5auy; 0xcfuy; 0xb8uy; 0xa1uy; 0xc5uy; 0x6euy; 0xc8uy; 0xb6uy; 0x31uy; 0x57uy; 0x7buy; 0xdfuy; 0xa5uy; 0x7euy; 0xb1uy; 0xd6uy; 0x42uy; 0x2auy; 0x31uy; 0x36uy; 0xd1uy; 0xd0uy; 0x3fuy; 0x7auy; 0xe5uy; 0x94uy; 0xd6uy; 0x36uy; 0xa0uy; 0x6fuy; 0xb7uy; 0x40uy; 0x7duy; 0x37uy; 0xc6uy; 0x55uy; 0x7cuy; 0x50uy; 0x40uy; 0x6duy; 0x29uy; 0x89uy; 0xe3uy; 0x5auy; 0xaeuy; 0x97uy; 0xe7uy; 0x44uy; 0x49uy; 0x6euy; 0xbduy; 0x81uy; 0x3duy; 0x03uy; 0x93uy; 0x06uy; 0x12uy; 0x06uy; 0xe2uy; 0x41uy; 0x12uy; 0x4auy; 0xf1uy; 0x6auy; 0xa4uy; 0x58uy; 0xa2uy; 0xfbuy; 0xd2uy; 0x15uy; 0xbauy; 0xc9uy; 0x79uy; 0xc9uy; 0xceuy; 0x5euy; 0x13uy; 0xbbuy; 0xf1uy; 0x09uy; 0x04uy; 0xccuy; 0xfduy; 0xe8uy; 0x51uy; 0x34uy; 0x6auy; 0xe8uy; 0x61uy; 0x88uy; 0xdauy; 0xeduy; 0x01uy; 0x47uy; 0x84uy; 0xf5uy; 0x73uy; 0x25uy; 0xf9uy; 0x1cuy; 0x42uy; 0x86uy; 0x07uy; 0xf3uy; 0x5buy; 0x1auy; 0x01uy; 0xb3uy; 0xebuy; 0x24uy; 0x32uy; 0x8duy; 0xf6uy; 0xeduy; 0x7cuy; 0x4buy; 0xebuy; 0x3cuy; 0x36uy; 0x42uy; 0x28uy; 0xdfuy; 0xdfuy; 0xb6uy; 0xbeuy; 0xd9uy; 0x8cuy; 0x52uy; 0xd3uy; 0x2buy; 0x08uy; 0x90uy; 0x8cuy; 0xe7uy; 0x98uy; 0x31uy; 0xe2uy; 0x32uy; 0x8euy; 0xfcuy; 0x11uy; 0x48uy; 0x00uy; 0xa8uy; 0x6auy; 0x42uy; 0x4auy; 0x02uy; 0xc6uy; 0x4buy; 0x09uy; 0xf1uy; 0xe3uy; 0x49uy; 0xf3uy; 0x45uy; 0x1fuy; 0x0euy; 0xbcuy; 0x56uy; 0xe2uy; 0xe4uy; 0xdfuy; 0xfbuy; 0xebuy; 0x61uy; 0xfauy; 0x24uy; 0xc1uy; 0x63uy; 0x75uy; 0xbbuy; 0x47uy; 0x75uy; 0xafuy; 0xe1uy; 0x53uy; 0x16uy; 0x96uy; 0x21uy; 0x85uy; 0x26uy; 0x11uy; 0xb3uy; 0x76uy; 0xe3uy; 0x23uy; 0xa1uy; 0x6buy; 0x74uy; 0x37uy; 0xd0uy; 0xdeuy; 0x06uy; 0x90uy; 0x71uy; 0x5duy; 0x43uy; 0x88uy; 0x9buy; 0x00uy; 0x54uy; 0xa6uy; 0x75uy; 0x2fuy; 0xa1uy; 0xc2uy; 0x0buy; 0x73uy; 0x20uy; 0x1duy; 0xb6uy; 0x21uy; 0x79uy; 0x57uy; 0x3fuy; 0xfauy; 0x09uy; 0xbeuy; 0x8auy; 0x33uy; 0xc3uy; 0x52uy; 0xf0uy; 0x1duy; 0x82uy; 0x31uy; 0xd1uy; 0x55uy; 0xb5uy; 0x6cuy; 0x99uy; 0x25uy; 0xcfuy; 0x5cuy; 0x32uy; 0xceuy; 0xe9uy; 0x0duy; 0xfauy; 0x69uy; 0x2cuy; 0xd5uy; 0x0duy; 0xc5uy; 0x6duy; 0x86uy; 0xd0uy; 0x0cuy; 0x3buy; 0x06uy; 0x50uy; 0x79uy; 0xe8uy; 0xc3uy; 0xaeuy; 0x04uy; 0xe6uy; 0xcduy; 0x51uy; 0xe4uy; 0x26uy; 0x9buy; 0x4fuy; 0x7euy; 0xa6uy; 0x0fuy; 0xabuy; 0xd8uy; 0xe5uy; 0xdeuy; 0xa9uy; 0x00uy; 0x95uy; 0xbeuy; 0xa3uy; 0x9duy; 0x5duy; 0xb2uy; 0x09uy; 0x70uy; 0x18uy; 0x1cuy; 0xf0uy; 0xacuy; 0x29uy; 0x23uy; 0x02uy; 0x29uy; 0x28uy; 0xd2uy; 0x74uy; 0x35uy; 0x57uy; 0x62uy; 0x0fuy; 0x24uy; 0xeauy; 0x5euy; 0x33uy; 0xc2uy; 0x92uy; 0xf3uy; 0x78uy; 0x4duy; 0x30uy; 0x1euy; 0xa1uy; 0x99uy; 0xa9uy; 0x82uy; 0xb0uy; 0x42uy; 0x31uy; 0x8duy; 0xaduy; 0x8auy; 0xbcuy; 0xfcuy; 0xd4uy; 0x57uy; 0x47uy; 0x3euy; 0xb4uy; 0x50uy; 0xdduy; 0x6euy; 0x2cuy; 0x80uy; 0x4duy; 0x22uy; 0xf1uy; 0xfbuy; 0x57uy; 0xc4uy; 0xdduy; 0x17uy; 0xe1uy; 0x8auy; 0x36uy; 0x4auy; 0xb3uy; 0x37uy; 0xcauy; 0xc9uy; 0x4euy; 0xabuy; 0xd5uy; 0x69uy; 0xc4uy; 0xf4uy; 0xbcuy; 0x0buy; 0x3buy; 0x44uy; 0x4buy; 0x29uy; 0x9cuy; 0xeeuy; 0xd4uy; 0x35uy; 0x22uy; 0x21uy; 0xb0uy; 0x1fuy; 0x27uy; 0x64uy; 0xa8uy; 0x51uy; 0x1buy; 0xf0uy; 0x9fuy; 0x19uy; 0x5cuy; 0xfbuy; 0x5auy; 0x64uy; 0x74uy; 0x70uy; 0x45uy; 0x09uy; 0xf5uy; 0x64uy; 0xfeuy; 0x1auy; 0x2duy; 0xc9uy; 0x14uy; 0x04uy; 0x14uy; 0xcfuy; 0xd5uy; 0x7duy; 0x60uy; 0xafuy; 0x94uy; 0x39uy; 0x94uy; 0xe2uy; 0x7duy; 0x79uy; 0x82uy; 0xd0uy; 0x65uy; 0x3buy; 0x6buy; 0x9cuy; 0x19uy; 0x84uy; 0xb4uy; 0x6duy; 0xb3uy; 0x0cuy; 0x99uy; 0xc0uy; 0x56uy; 0xa8uy; 0xbduy; 0x73uy; 0xceuy; 0x05uy; 0x84uy; 0x3euy; 0x30uy; 0xaauy; 0xc4uy; 0x9buy; 0x1buy; 0x04uy; 0x2auy; 0x9fuy; 0xd7uy; 0x43uy; 0x2buy; 0x23uy; 0xdfuy; 0xbfuy; 0xaauy; 0xd5uy; 0xc2uy; 0x43uy; 0x2duy; 0x70uy; 0xabuy; 0xdcuy; 0x75uy; 0xaduy; 0xacuy; 0xf7uy; 0xc0uy; 0xbeuy; 0x67uy; 0xb2uy; 0x74uy; 0xeduy; 0x67uy; 0x10uy; 0x4auy; 0x92uy; 0x60uy; 0xc1uy; 0x40uy; 0x50uy; 0x19uy; 0x8auy; 0x8auy; 0x8cuy; 0x09uy; 0x0euy; 0x72uy; 0xe1uy; 0x73uy; 0x5euy; 0xe8uy; 0x41uy; 0x85uy; 0x63uy; 0x9fuy; 0x3fuy; 0xd7uy; 0x7duy; 0xc4uy; 0xfbuy; 0x22uy; 0x5duy; 0x92uy; 0x6cuy; 0xb3uy; 0x1euy; 0xe2uy; 0x50uy; 0x2fuy; 0x82uy; 0xa8uy; 0x28uy; 0xc0uy; 0xb5uy; 0xd7uy; 0x5fuy; 0x68uy; 0x0duy; 0x2cuy; 0x2duy; 0xafuy; 0x7euy; 0xfauy; 0x2euy; 0x08uy; 0x0fuy; 0x1fuy; 0x70uy; 0x9fuy; 0xe9uy; 0x19uy; 0x72uy; 0x55uy; 0xf8uy; 0xfbuy; 0x51uy; 0xd2uy; 0x33uy; 0x5duy; 0xa0uy; 0xd3uy; 0x2buy; 0x0auy; 0x6cuy; 0xbcuy; 0x4euy; 0xcfuy; 0x36uy; 0x4duy; 0xdcuy; 0x3buy; 0xe9uy; 0x3euy; 0x81uy; 0x7cuy; 0x61uy; 0xdbuy; 0x20uy; 0x2duy; 0x3auy; 0xc3uy; 0xb3uy; 0x0cuy; 0x1euy; 0x00uy; 0xb9uy; 0x7cuy; 0xf5uy; 0xcauy; 0x10uy; 0x5fuy; 0x3auy; 0x71uy; 0xb3uy; 0xe4uy; 0x20uy; 0xdbuy; 0x0cuy; 0x2auy; 0x98uy; 0x63uy; 0x45uy; 0x00uy; 0x58uy; 0xf6uy; 0x68uy; 0xe4uy; 0x0buy; 0xdauy; 0x13uy; 0x3buy; 0x60uy; 0x5cuy; 0x76uy; 0xdbuy; 0xb9uy; 0x97uy; 0x71uy; 0xe4uy; 0xd9uy; 0xb7uy; 0xdbuy; 0xbduy; 0x68uy; 0xc7uy; 0x84uy; 0x84uy; 0xaauy; 0x7cuy; 0x68uy; 0x62uy; 0x5euy; 0x16uy; 0xfcuy; 0xbauy; 0x72uy; 0xaauy; 0x9auy; 0xa9uy; 0xebuy; 0x7cuy; 0x75uy; 0x47uy; 0x97uy; 0x7euy; 0xaduy; 0xe2uy; 0xd9uy; 0x91uy; 0xe8uy; 0xe4uy; 0xa5uy; 0x31uy; 0xd7uy; 0x01uy; 0x8euy; 0xa2uy; 0x11uy; 0x88uy; 0x95uy; 0xb9uy; 0xf2uy; 0x9buy; 0xd3uy; 0x7fuy; 0x1buy; 0x81uy; 0x22uy; 0xf7uy; 0x98uy; 0x60uy; 0x0auy; 0x64uy; 0xa6uy; 0xc1uy; 0xf6uy; 0x49uy; 0xc7uy; 0xe3uy; 0x07uy; 0x4duy; 0x94uy; 0x7auy; 0xcfuy; 0x6euy; 0x68uy; 0x0cuy; 0x1buy; 0x3fuy; 0x6euy; 0x2euy; 0xeeuy; 0x92uy; 0xfauy; 0x52uy; 0xb3uy; 0x59uy; 0xf8uy; 0xf1uy; 0x8fuy; 0x6auy; 0x66uy; 0xa3uy; 0x82uy; 0x76uy; 0x4auy; 0x07uy; 0x1auy; 0xc7uy; 0xdduy; 0xf5uy; 0xdauy; 0x9cuy; 0x3cuy; 0x24uy; 0xbfuy; 0xfduy; 0x42uy; 0xa1uy; 0x10uy; 0x64uy; 0x6auy; 0x0fuy; 0x89uy; 0xeeuy; 0x36uy; 0xa5uy; 0xceuy; 0x99uy; 0x48uy; 0x6auy; 0xf0uy; 0x9fuy; 0x9euy; 0x69uy; 0xa4uy; 0x40uy; 0x20uy; 0xe9uy; 0x16uy; 0x15uy; 0xf7uy; 0xdbuy; 0x75uy; 0x02uy; 0xcbuy; 0xe9uy; 0x73uy; 0x8buy; 0x3buy; 0x49uy; 0x2fuy; 0xf0uy; 0xafuy; 0x51uy; 0x06uy; 0x5cuy; 0xdfuy; 0x27uy; 0x27uy; 0x49uy; 0x6auy; 0xd1uy; 0xccuy; 0xc7uy; 0xb5uy; 0x63uy; 0xb5uy; 0xfcuy; 0xb8uy; 0x5cuy; 0x87uy; 0x7fuy; 0x84uy; 0xb4uy; 0xccuy; 0x14uy; 0xa9uy; 0x53uy; 0xdauy; 0xa4uy; 0x56uy; 0xf8uy; 0xb6uy; 0x1buy; 0xccuy; 0x40uy; 0x27uy; 0x52uy; 0x06uy; 0x5auy; 0x13uy; 0x81uy; 0xd7uy; 0x3auy; 0xd4uy; 0x3buy; 0xfbuy; 0x49uy; 0x65uy; 0x31uy; 0x33uy; 0xb2uy; 0xfauy; 0xcduy; 0xaduy; 0x58uy; 0x4euy; 0x2buy; 0xaeuy; 0xd2uy; 0x20uy; 0xfbuy; 0x1auy; 0x48uy; 0xb4uy; 0x3fuy; 0x9auy; 0xd8uy; 0x7auy; 0x35uy; 0x4auy; 0xc8uy; 0xeeuy; 0x88uy; 0x5euy; 0x07uy; 0x66uy; 0x54uy; 0xb9uy; 0xecuy; 0x9fuy; 0xa3uy; 0xe3uy; 0xb9uy; 0x37uy; 0xaauy; 0x49uy; 0x76uy; 0x31uy; 0xdauy; 0x74uy; 0x2duy; 0x3cuy; 0xa4uy; 0x65uy; 0x10uy; 0x32uy; 0x38uy; 0xf0uy; 0xdeuy; 0xd3uy; 0x99uy; 0x17uy; 0xaauy; 0x71uy; 0xaauy; 0x8fuy; 0x0fuy; 0x8cuy; 0xafuy; 0xa2uy; 0xf8uy; 0x5duy; 0x64uy; 0xbauy; 0x1duy; 0xa3uy; 0xefuy; 0x96uy; 0x73uy; 0xe8uy; 0xa1uy; 0x02uy; 0x8duy; 0x0cuy; 0x6duy; 0xb8uy; 0x06uy; 0x90uy; 0xb8uy; 0x08uy; 0x56uy; 0x2cuy; 0xa7uy; 0x06uy; 0xc9uy; 0xc2uy; 0x38uy; 0xdbuy; 0x7cuy; 0x63uy; 0xb1uy; 0x57uy; 0x8euy; 0xeauy; 0x7cuy; 0x79uy; 0xf3uy; 0x49uy; 0x1duy; 0xfeuy; 0x9fuy; 0xf3uy; 0x6euy; 0xb1uy; 0x1duy; 0xbauy; 0x19uy; 0x80uy; 0x1auy; 0x0auy; 0xd3uy; 0xb0uy; 0x26uy; 0x21uy; 0x40uy; 0xb1uy; 0x7cuy; 0xf9uy; 0x4duy; 0x8duy; 0x10uy; 0xc1uy; 0x7euy; 0xf4uy; 0xf6uy; 0x3cuy; 0xa8uy; 0xfduy; 0x7cuy; 0xa3uy; 0x92uy; 0xb2uy; 0x0fuy; 0xaauy; 0xccuy; 0xa6uy; 0x11uy; 0xfeuy; 0x04uy; 0xe3uy; 0xd1uy; 0x7auy; 0x32uy; 0x89uy; 0xdfuy; 0x0duy; 0xc4uy; 0x8fuy; 0x79uy; 0x6buy; 0xcauy; 0x16uy; 0x7cuy; 0x6euy; 0xf9uy; 0xaduy; 0x0fuy; 0xf6uy; 0xfeuy; 0x27uy; 0xdbuy; 0xc4uy; 0x13uy; 0x70uy; 0xf1uy; 0x62uy; 0x1auy; 0x4fuy; 0x79uy; 0x40uy; 0xc9uy; 0x9buy; 0x8buy; 0x21uy; 0xeauy; 0x84uy; 0xfauy; 0xf5uy; 0xf1uy; 0x89uy; 0xceuy; 0xb7uy; 0x55uy; 0x0auy; 0x80uy; 0x39uy; 0x2fuy; 0x55uy; 0x36uy; 0x16uy; 0x9cuy; 0x7buy; 0x08uy; 0xbduy; 0x87uy; 0x0duy; 0xa5uy; 0x32uy; 0xf1uy; 0x52uy; 0x7cuy; 0xe8uy; 0x55uy; 0x60uy; 0x5buy; 0xd7uy; 0x69uy; 0xe4uy; 0xfcuy; 0xfauy; 0x12uy; 0x85uy; 0x96uy; 0xeauy; 0x50uy; 0x28uy; 0xabuy; 0x8auy; 0xf7uy; 0xbbuy; 0x0euy; 0x53uy; 0x74uy; 0xcauy; 0xa6uy; 0x27uy; 0x09uy; 0xc2uy; 0xb5uy; 0xdeuy; 0x18uy; 0x14uy; 0xd9uy; 0xeauy; 0xe5uy; 0x29uy; 0x1cuy; 0x40uy; 0x56uy; 0xcfuy; 0xd7uy; 0xaeuy; 0x05uy; 0x3fuy; 0x65uy; 0xafuy; 0x05uy; 0x73uy; 0xe2uy; 0x35uy; 0x96uy; 0x27uy; 0x07uy; 0x14uy; 0xc0uy; 0xaduy; 0x33uy; 0xf1uy; 0xdcuy; 0x44uy; 0x7auy; 0x89uy; 0x17uy; 0x77uy; 0xd2uy; 0x9cuy; 0x58uy; 0x60uy; 0xf0uy; 0x3fuy; 0x7buy; 0x2duy; 0x2euy; 0x57uy; 0x95uy; 0x54uy; 0x87uy; 0xeduy; 0xf2uy; 0xc7uy; 0x4cuy; 0xf0uy; 0xaeuy; 0x56uy; 0x29uy; 0x19uy; 0x7duy; 0x66uy; 0x4buy; 0x9buy; 0x83uy; 0x84uy; 0x42uy; 0x3buy; 0x01uy; 0x25uy; 0x66uy; 0x8euy; 0x02uy; 0xdeuy; 0xb9uy; 0x83uy; 0x54uy; 0x19uy; 0xf6uy; 0x9fuy; 0x79uy; 0x0duy; 0x67uy; 0xc5uy; 0x1duy; 0x7auy; 0x44uy; 0x02uy; 0x98uy; 0xa7uy; 0x16uy; 0x1cuy; 0x29uy; 0x0duy; 0x74uy; 0xffuy; 0x85uy; 0x40uy; 0x06uy; 0xefuy; 0x2cuy; 0xa9uy; 0xc6uy; 0xf5uy; 0x53uy; 0x07uy; 0x06uy; 0xaeuy; 0xe4uy; 0xfauy; 0x5fuy; 0xd8uy; 0x39uy; 0x4duy; 0xf1uy; 0x9buy; 0x6buy; 0xd9uy; 0x24uy; 0x84uy; 0xfeuy; 0x03uy; 0x4cuy; 0xb2uy; 0x3fuy; 0xdfuy; 0xa1uy; 0x05uy; 0x9euy; 0x50uy; 0x14uy; 0x5auy; 0xd9uy; 0x1auy; 0xa2uy; 0xa7uy; 0xfauy; 0xfauy; 0x17uy; 0xf7uy; 0x78uy; 0xd6uy; 0xb5uy; 0x92uy; 0x61uy; 0x91uy; 0xacuy; 0x36uy; 0xfauy; 0x56uy; 0x0duy; 0x38uy; 0x32uy; 0x18uy; 0x85uy; 0x08uy; 0x58uy; 0x37uy; 0xf0uy; 0x4buy; 0xdbuy; 0x59uy; 0xe7uy; 0xa4uy; 0x34uy; 0xc0uy; 0x1buy; 0x01uy; 0xafuy; 0x2duy; 0xdeuy; 0xa1uy; 0xaauy; 0x5duy; 0xd3uy; 0xecuy; 0xe1uy; 0xd4uy; 0xf7uy; 0xe6uy; 0x54uy; 0x68uy; 0xf0uy; 0x51uy; 0x97uy; 0xa7uy; 0x89uy; 0xeauy; 0x24uy; 0xaduy; 0xd3uy; 0x6euy; 0x47uy; 0x93uy; 0x8buy; 0x4buy; 0xb4uy; 0xf7uy; 0x1cuy; 0x42uy; 0x06uy; 0x67uy; 0xe8uy; 0x99uy; 0xf6uy; 0xf5uy; 0x7buy; 0x85uy; 0xb5uy; 0x65uy; 0xb5uy; 0xb5uy; 0xd2uy; 0x37uy; 0xf5uy; 0xf3uy; 0x02uy; 0xa6uy; 0x4duy; 0x11uy; 0xa7uy; 0xdcuy; 0x51uy; 0x09uy; 0x7fuy; 0xa0uy; 0xd8uy; 0x88uy; 0x1cuy; 0x13uy; 0x71uy; 0xaeuy; 0x9cuy; 0xb7uy; 0x7buy; 0x34uy; 0xd6uy; 0x4euy; 0x68uy; 0x26uy; 0x83uy; 0x51uy; 0xafuy; 0x1duy; 0xeeuy; 0x8buy; 0xbbuy; 0x69uy; 0x43uy; 0x2buy; 0x9euy; 0x8auy; 0xbcuy; 0x02uy; 0x0euy; 0xa0uy; 0x1buy; 0xe0uy; 0xa8uy; 0x5fuy; 0x6fuy; 0xafuy; 0x1buy; 0x8fuy; 0xe7uy; 0x64uy; 0x71uy; 0x74uy; 0x11uy; 0x7euy; 0xa8uy; 0xd8uy; 0xf9uy; 0x97uy; 0x06uy; 0xc3uy; 0xb6uy; 0xfbuy; 0xfbuy; 0xb7uy; 0x3duy; 0x35uy; 0x9duy; 0x3buy; 0x52uy; 0xeduy; 0x54uy; 0xcauy; 0xf4uy; 0x81uy; 0x01uy; 0x2duy; 0x1buy; 0xc3uy; 0xa7uy; 0x00uy; 0x3duy; 0x1auy; 0x39uy; 0x54uy; 0xe1uy; 0xf6uy; 0xffuy; 0xeduy; 0x6fuy; 0x0buy; 0x5auy; 0x68uy; 0xdauy; 0x58uy; 0xdduy; 0xa9uy; 0xcfuy; 0x5cuy; 0x4auy; 0xe5uy; 0x09uy; 0x4euy; 0xdeuy; 0x9duy; 0xbcuy; 0x3euy; 0xeeuy; 0x5auy; 0x00uy; 0x3buy; 0x2cuy; 0x87uy; 0x10uy; 0x65uy; 0x60uy; 0xdduy; 0xd7uy; 0x56uy; 0xd1uy; 0x4cuy; 0x64uy; 0x45uy; 0xe4uy; 0x21uy; 0xecuy; 0x78uy; 0xf8uy; 0x25uy; 0x7auy; 0x3euy; 0x16uy; 0x5duy; 0x09uy; 0x53uy; 0x14uy; 0xbeuy; 0x4fuy; 0xaeuy; 0x87uy; 0xd8uy; 0xd1uy; 0xaauy; 0x3cuy; 0xf6uy; 0x3euy; 0xa4uy; 0x70uy; 0x8cuy; 0x5euy; 0x70uy; 0xa4uy; 0xb3uy; 0x6buy; 0x66uy; 0x73uy; 0xd3uy; 0xbfuy; 0x31uy; 0x06uy; 0x19uy; 0x62uy; 0x93uy; 0x15uy; 0xf2uy; 0x86uy; 0xe4uy; 0x52uy; 0x7euy; 0x53uy; 0x4cuy; 0x12uy; 0x38uy; 0xccuy; 0x34uy; 0x7duy; 0x57uy; 0xf6uy; 0x42uy; 0x93uy; 0x8auy; 0xc4uy; 0xeeuy; 0x5cuy; 0x8auy; 0xe1uy; 0x52uy; 0x8fuy; 0x56uy; 0x64uy; 0xf6uy; 0xa6uy; 0xd1uy; 0x91uy; 0x57uy; 0x70uy; 0xcduy; 0x11uy; 0x76uy; 0xf5uy; 0x59uy; 0x60uy; 0x60uy; 0x3cuy; 0xc1uy; 0xc3uy; 0x0buy; 0x7fuy; 0x58uy; 0x1auy; 0x50uy; 0x91uy; 0xf1uy; 0x68uy; 0x8fuy; 0x6euy; 0x74uy; 0x74uy; 0xa8uy; 0x51uy; 0x0buy; 0xf7uy; 0x7auy; 0x98uy; 0x37uy; 0xf2uy; 0x0auy; 0x0euy; 0xa4uy; 0x97uy; 0x04uy; 0xb8uy; 0x9buy; 0xfduy; 0xa0uy; 0xeauy; 0xf7uy; 0x0duy; 0xe1uy; 0xdbuy; 0x03uy; 0xf0uy; 0x31uy; 0x29uy; 0xf8uy; 0xdduy; 0x6buy; 0x8buy; 0x5duy; 0xd8uy; 0x59uy; 0xa9uy; 0x29uy; 0xcfuy; 0x9auy; 0x79uy; 0x89uy; 0x19uy; 0x63uy; 0x46uy; 0x09uy; 0x79uy; 0x6auy; 0x11uy; 0xdauy; 0x63uy; 0x68uy; 0x48uy; 0x77uy; 0x23uy; 0xfbuy; 0x7duy; 0x3auy; 0x43uy; 0xcbuy; 0x02uy; 0x3buy; 0x7auy; 0x6duy; 0x10uy; 0x2auy; 0x9euy; 0xacuy; 0xf1uy; 0xd4uy; 0x19uy; 0xf8uy; 0x23uy; 0x64uy; 0x1duy; 0x2cuy; 0x5fuy; 0xf2uy; 0xb0uy; 0x5cuy; 0x23uy; 0x27uy; 0xf7uy; 0x27uy; 0x30uy; 0x16uy; 0x37uy; 0xb1uy; 0x90uy; 0xabuy; 0x38uy; 0xfbuy; 0x55uy; 0xcduy; 0x78uy; 0x58uy; 0xd4uy; 0x7duy; 0x43uy; 0xf6uy; 0x45uy; 0x5euy; 0x55uy; 0x8duy; 0xb1uy; 0x02uy; 0x65uy; 0x58uy; 0xb4uy; 0x13uy; 0x4buy; 0x36uy; 0xf7uy; 0xccuy; 0xfeuy; 0x3duy; 0x0buy; 0x82uy; 0xe2uy; 0x12uy; 0x11uy; 0xbbuy; 0xe6uy; 0xb8uy; 0x3auy; 0x48uy; 0x71uy; 0xc7uy; 0x50uy; 0x06uy; 0x16uy; 0x3auy; 0xe6uy; 0x7cuy; 0x05uy; 0xc7uy; 0xc8uy; 0x4duy; 0x2fuy; 0x08uy; 0x6auy; 0x17uy; 0x9auy; 0x95uy; 0x97uy; 0x50uy; 0x68uy; 0xdcuy; 0x28uy; 0x18uy; 0xc4uy; 0x61uy; 0x38uy; 0xb9uy; 0xe0uy; 0x3euy; 0x78uy; 0xdbuy; 0x29uy; 0xe0uy; 0x9fuy; 0x52uy; 0xdduy; 0xf8uy; 0x4fuy; 0x91uy; 0xc1uy; 0xd0uy; 0x33uy; 0xa1uy; 0x7auy; 0x8euy; 0x30uy; 0x13uy; 0x82uy; 0x07uy; 0x9fuy; 0xd3uy; 0x31uy; 0x0fuy; 0x23uy; 0xbeuy; 0x32uy; 0x5auy; 0x75uy; 0xcfuy; 0x96uy; 0xb2uy; 0xecuy; 0xb5uy; 0x32uy; 0xacuy; 0x21uy; 0xd1uy; 0x82uy; 0x33uy; 0xd3uy; 0x15uy; 0x74uy; 0xbduy; 0x90uy; 0xf1uy; 0x2cuy; 0xe6uy; 0x5fuy; 0x8duy; 0xe3uy; 0x02uy; 0xe8uy; 0xe9uy; 0xc4uy; 0xcauy; 0x96uy; 0xebuy; 0x0euy; 0xbcuy; 0x91uy; 0xf4uy; 0xb9uy; 0xeauy; 0xd9uy; 0x1buy; 0x75uy; 0xbduy; 0xe1uy; 0xacuy; 0x2auy; 0x05uy; 0x37uy; 0x52uy; 0x9buy; 0x1buy; 0x3fuy; 0x5auy; 0xdcuy; 0x21uy; 0xc3uy; 0x98uy; 0xbbuy; 0xafuy; 0xa3uy; 0xf2uy; 0x00uy; 0xbfuy; 0x0duy; 0x30uy; 0x89uy; 0x05uy; 0xccuy; 0xa5uy; 0x76uy; 0xf5uy; 0x06uy; 0xf0uy; 0xc6uy; 0x54uy; 0x8auy; 0x5duy; 0xd4uy; 0x1euy; 0xc1uy; 0xf2uy; 0xceuy; 0xb0uy; 0x62uy; 0xc8uy; 0xfcuy; 0x59uy; 0x42uy; 0x9auy; 0x90uy; 0x60uy; 0x55uy; 0xfeuy; 0x88uy; 0xa5uy; 0x8buy; 0xb8uy; 0x33uy; 0x0cuy; 0x23uy; 0x24uy; 0x0duy; 0x15uy; 0x70uy; 0x37uy; 0x1euy; 0x3duy; 0xf6uy; 0xd2uy; 0xeauy; 0x92uy; 0x10uy; 0xb2uy; 0xc4uy; 0x51uy; 0xacuy; 0xf2uy; 0xacuy; 0xf3uy; 0x6buy; 0x6cuy; 0xaauy; 0xcfuy; 0x12uy; 0xc5uy; 0x6cuy; 0x90uy; 0x50uy; 0xb5uy; 0x0cuy; 0xfcuy; 0x1auy; 0x15uy; 0x52uy; 0xe9uy; 0x26uy; 0xc6uy; 0x52uy; 0xa4uy; 0xe7uy; 0x81uy; 0x69uy; 0xe1uy; 0xe7uy; 0x9euy; 0x30uy; 0x01uy; 0xecuy; 0x84uy; 0x89uy; 0xb2uy; 0x0duy; 0x66uy; 0xdduy; 0xceuy; 0x28uy; 0x5cuy; 0xecuy; 0x98uy; 0x46uy; 0x68uy; 0x21uy; 0x9fuy; 0x88uy; 0x3fuy; 0x1fuy; 0x42uy; 0x77uy; 0xceuy; 0xd0uy; 0x61uy; 0xd4uy; 0x20uy; 0xa7uy; 0xffuy; 0x53uy; 0xaduy; 0x37uy; 0xd0uy; 0x17uy; 0x35uy; 0xc9uy; 0xfcuy; 0xbauy; 0x0auy; 0x78uy; 0x3fuy; 0xf2uy; 0xccuy; 0x86uy; 0x89uy; 0xe8uy; 0x4buy; 0x3cuy; 0x48uy; 0x33uy; 0x09uy; 0x7fuy; 0xc6uy; 0xc0uy; 0xdduy; 0xb8uy; 0xfduy; 0x7auy; 0x66uy; 0x66uy; 0x65uy; 0xebuy; 0x47uy; 0xa7uy; 0x04uy; 0x28uy; 0xa3uy; 0x19uy; 0x8euy; 0xa9uy; 0xb1uy; 0x13uy; 0x67uy; 0x62uy; 0x70uy; 0xcfuy; 0xd6uy; ] in assert_norm (List.Tot.length l = 2027); B.gcmalloc_of_list HyperStack.root l
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: FStar.UInt32.t {FStar.UInt32.v x = LowStar.Monotonic.Buffer.length Test.Vectors.Chacha20Poly1305.output11}
Prims.Tot
[ "total" ]
[]
[ "FStar.UInt32.__uint_to_t" ]
[]
false
false
false
false
false
let output11_len:(x: UInt32.t{UInt32.v x = B.length output11}) =
2027ul
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.s64x5
val s64x5 (x: scale64) : scale64_5
val s64x5 (x: scale64) : scale64_5
let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 47, "end_line": 22, "start_col": 0, "start_line": 22 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096}
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Hacl.Spec.Poly1305.Field32xN.scale64 -> Hacl.Spec.Poly1305.Field32xN.scale64_5
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.scale64", "FStar.Pervasives.Native.Mktuple5", "Prims.nat", "Hacl.Spec.Poly1305.Field32xN.scale64_5" ]
[]
false
false
false
true
false
let s64x5 (x: scale64) : scale64_5 =
(x, x, x, x, x)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fas_nat5
val fas_nat5 (#w: lanes) (f: felem5 w) : lseq nat w
val fas_nat5 (#w: lanes) (f: felem5 w) : lseq nat w
let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 27, "end_line": 166, "start_col": 0, "start_line": 165 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Lib.Sequence.lseq Prims.nat w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Lib.Sequence.map", "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Prims.nat", "Hacl.Spec.Poly1305.Field32xN.as_nat5", "Hacl.Spec.Poly1305.Field32xN.transpose", "Lib.Sequence.lseq" ]
[]
false
false
false
false
false
let fas_nat5 (#w: lanes) (f: felem5 w) : lseq nat w =
map as_nat5 (transpose f)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.felem_less5
val felem_less5 (#w: lanes) (f: felem5 w) (max: nat) : Type0
val felem_less5 (#w: lanes) (f: felem5 w) (max: nat) : Type0
let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 58, "end_line": 178, "start_col": 0, "start_line": 177 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> max: Prims.nat -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Prims.nat", "Prims.l_Forall", "Prims.l_imp", "Prims.b2t", "Prims.op_LessThan", "Hacl.Spec.Poly1305.Field32xN.as_nat5", "Hacl.Spec.Poly1305.Field32xN.as_tup64_i" ]
[]
false
false
false
false
true
let felem_less5 (#w: lanes) (f: felem5 w) (max: nat) : Type0 =
forall (i: nat). i < w ==> as_nat5 (as_tup64_i f i) < max
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.feval5
val feval5 (#w: lanes) (f: felem5 w) : lseq pfelem w
val feval5 (#w: lanes) (f: felem5 w) : lseq pfelem w
let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 162, "start_col": 0, "start_line": 161 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i]
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Lib.Sequence.lseq Hacl.Spec.Poly1305.Vec.pfelem w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Lib.Sequence.map", "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Hacl.Spec.Poly1305.Vec.pfelem", "Hacl.Spec.Poly1305.Field32xN.as_pfelem5", "Hacl.Spec.Poly1305.Field32xN.transpose", "Lib.Sequence.lseq" ]
[]
false
false
false
false
false
let feval5 (#w: lanes) (f: felem5 w) : lseq pfelem w =
map as_pfelem5 (transpose f)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.pow26
val pow26:(pow26: pos{pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26})
val pow26:(pow26: pos{pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26})
let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 7, "end_line": 59, "start_col": 0, "start_line": 55 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
pow26: Prims.pos {Prims.pow2 32 == 64 * pow26 /\ Prims.pow2 64 == (4096 * pow26) * pow26 /\ pow26 == Prims.pow2 26}
Prims.Tot
[ "total" ]
[]
[ "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.eq2", "Prims.int", "Prims.pow2", "FStar.Mul.op_Star", "Prims.pos" ]
[]
false
false
false
false
false
let pow26:(pow26: pos{pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26}) =
let pow26:pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == (4096 * pow26) * pow26); pow26
false
Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.output0
val output0:(b: B.buffer UInt8.t {B.length b = 281 /\ B.recallable b})
val output0:(b: B.buffer UInt8.t {B.length b = 281 /\ B.recallable b})
let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 42, "start_col": 0, "start_line": 39 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: LowStar.Buffer.buffer FStar.UInt8.t {LowStar.Monotonic.Buffer.length b = 281 /\ LowStar.Monotonic.Buffer.recallable b}
Prims.Tot
[ "total" ]
[]
[ "LowStar.Buffer.gcmalloc_of_list", "FStar.UInt8.t", "FStar.Monotonic.HyperHeap.root", "LowStar.Monotonic.Buffer.mbuffer", "LowStar.Buffer.trivial_preorder", "Prims.l_and", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "FStar.Pervasives.normalize_term", "FStar.List.Tot.Base.length", "Prims.b2t", "Prims.op_Negation", "LowStar.Monotonic.Buffer.g_is_null", "FStar.Monotonic.HyperHeap.rid", "LowStar.Monotonic.Buffer.frameOf", "LowStar.Monotonic.Buffer.recallable", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.buffer", "Prims.list", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil" ]
[]
false
false
false
false
false
let output0:(b: B.buffer UInt8.t {B.length b = 281 /\ B.recallable b}) =
[@@ inline_let ]let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l
false
Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.aad11
val aad11:(b: B.buffer UInt8.t {B.length b = 63 /\ B.recallable b})
val aad11:(b: B.buffer UInt8.t {B.length b = 63 /\ B.recallable b})
let aad11: (b: B.buffer UInt8.t { B.length b = 63 /\ B.recallable b }) = [@inline_let] let l = [ 0xb1uy; 0x69uy; 0x83uy; 0x87uy; 0x30uy; 0xaauy; 0x5duy; 0xb8uy; 0x77uy; 0xe8uy; 0x21uy; 0xffuy; 0x06uy; 0x59uy; 0x35uy; 0xceuy; 0x75uy; 0xfeuy; 0x38uy; 0xefuy; 0xb8uy; 0x91uy; 0x43uy; 0x8cuy; 0xcfuy; 0x70uy; 0xdduy; 0x0auy; 0x68uy; 0xbfuy; 0xd4uy; 0xbcuy; 0x16uy; 0x76uy; 0x99uy; 0x36uy; 0x1euy; 0x58uy; 0x79uy; 0x5euy; 0xd4uy; 0x29uy; 0xf7uy; 0x33uy; 0x93uy; 0x48uy; 0xdbuy; 0x5fuy; 0x01uy; 0xaeuy; 0x9cuy; 0xb6uy; 0xe4uy; 0x88uy; 0x6duy; 0x2buy; 0x76uy; 0x75uy; 0xe0uy; 0xf3uy; 0x74uy; 0xe2uy; 0xc9uy; ] in assert_norm (List.Tot.length l = 63); B.gcmalloc_of_list HyperStack.root l
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 466, "start_col": 0, "start_line": 463 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output0_len: (x:UInt32.t { UInt32.v x = B.length output0 }) = 281ul let key1: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4cuy; 0xf5uy; 0x96uy; 0x83uy; 0x38uy; 0xe6uy; 0xaeuy; 0x7fuy; 0x2duy; 0x29uy; 0x25uy; 0x76uy; 0xd5uy; 0x75uy; 0x27uy; 0x86uy; 0x91uy; 0x9auy; 0x27uy; 0x7auy; 0xfbuy; 0x46uy; 0xc5uy; 0xefuy; 0x94uy; 0x81uy; 0x79uy; 0x57uy; 0x14uy; 0x59uy; 0x40uy; 0x68uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key1_len: (x:UInt32.t { UInt32.v x = B.length key1 }) = 32ul let nonce1: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xcauy; 0xbfuy; 0x33uy; 0x71uy; 0x32uy; 0x45uy; 0x77uy; 0x8euy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce1_len: (x:UInt32.t { UInt32.v x = B.length nonce1 }) = 12ul let aad1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad1_len: (x:UInt32.t { UInt32.v x = B.length aad1 }) = 0ul let input1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad1 }) = B.recall aad1;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input1_len: (x:UInt32.t { UInt32.v x = B.length input1 }) = 0ul let output1: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xe0uy; 0x1euy; 0x9euy; 0x2cuy; 0x91uy; 0xaauy; 0xe1uy; 0xdbuy; 0x5duy; 0x99uy; 0x3fuy; 0x8auy; 0xf7uy; 0x69uy; 0x92uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output1_len: (x:UInt32.t { UInt32.v x = B.length output1 }) = 16ul let key2: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x2duy; 0xb0uy; 0x5duy; 0x40uy; 0xc8uy; 0xeduy; 0x44uy; 0x88uy; 0x34uy; 0xd1uy; 0x13uy; 0xafuy; 0x57uy; 0xa1uy; 0xebuy; 0x3auy; 0x2auy; 0x80uy; 0x51uy; 0x36uy; 0xecuy; 0x5buy; 0xbcuy; 0x08uy; 0x93uy; 0x84uy; 0x21uy; 0xb5uy; 0x13uy; 0x88uy; 0x3cuy; 0x0duy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key2_len: (x:UInt32.t { UInt32.v x = B.length key2 }) = 32ul let nonce2: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x3duy; 0x86uy; 0xb5uy; 0x6buy; 0xc8uy; 0xa3uy; 0x1fuy; 0x1duy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce2_len: (x:UInt32.t { UInt32.v x = B.length nonce2 }) = 12ul let aad2: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x33uy; 0x10uy; 0x41uy; 0x12uy; 0x1fuy; 0xf3uy; 0xd2uy; 0x6buy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad2_len: (x:UInt32.t { UInt32.v x = B.length aad2 }) = 8ul let input2: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad2 }) = B.recall aad2;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input2_len: (x:UInt32.t { UInt32.v x = B.length input2 }) = 0ul let output2: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xdduy; 0x6buy; 0x3buy; 0x82uy; 0xceuy; 0x5auy; 0xbduy; 0xd6uy; 0xa9uy; 0x35uy; 0x83uy; 0xd8uy; 0x8cuy; 0x3duy; 0x85uy; 0x77uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output2_len: (x:UInt32.t { UInt32.v x = B.length output2 }) = 16ul let key3: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4buy; 0x28uy; 0x4buy; 0xa3uy; 0x7buy; 0xbeuy; 0xe9uy; 0xf8uy; 0x31uy; 0x80uy; 0x82uy; 0xd7uy; 0xd8uy; 0xe8uy; 0xb5uy; 0xa1uy; 0xe2uy; 0x18uy; 0x18uy; 0x8auy; 0x9cuy; 0xfauy; 0xa3uy; 0x3duy; 0x25uy; 0x71uy; 0x3euy; 0x40uy; 0xbcuy; 0x54uy; 0x7auy; 0x3euy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key3_len: (x:UInt32.t { UInt32.v x = B.length key3 }) = 32ul let nonce3: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xd2uy; 0x32uy; 0x1fuy; 0x29uy; 0x28uy; 0xc6uy; 0xc4uy; 0xc4uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce3_len: (x:UInt32.t { UInt32.v x = B.length nonce3 }) = 12ul let aad3: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xe2uy; 0xaduy; 0x3fuy; 0x88uy; 0x39uy; 0x5auy; 0x40uy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad3_len: (x:UInt32.t { UInt32.v x = B.length aad3 }) = 8ul let input3: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad3 }) = B.recall aad3;[@inline_let] let l = [ 0xa4uy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input3_len: (x:UInt32.t { UInt32.v x = B.length input3 }) = 1ul let output3: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xb7uy; 0x1buy; 0xb0uy; 0x73uy; 0x59uy; 0xb0uy; 0x84uy; 0xb2uy; 0x6duy; 0x8euy; 0xabuy; 0x94uy; 0x31uy; 0xa1uy; 0xaeuy; 0xacuy; 0x89uy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output3_len: (x:UInt32.t { UInt32.v x = B.length output3 }) = 17ul let key4: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x66uy; 0xcauy; 0x9cuy; 0x23uy; 0x2auy; 0x4buy; 0x4buy; 0x31uy; 0x0euy; 0x92uy; 0x89uy; 0x8buy; 0xf4uy; 0x93uy; 0xc7uy; 0x87uy; 0x98uy; 0xa3uy; 0xd8uy; 0x39uy; 0xf8uy; 0xf4uy; 0xa7uy; 0x01uy; 0xc0uy; 0x2euy; 0x0auy; 0xa6uy; 0x7euy; 0x5auy; 0x78uy; 0x87uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key4_len: (x:UInt32.t { UInt32.v x = B.length key4 }) = 32ul let nonce4: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x20uy; 0x1cuy; 0xaauy; 0x5fuy; 0x9cuy; 0xbfuy; 0x92uy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce4_len: (x:UInt32.t { UInt32.v x = B.length nonce4 }) = 12ul let aad4: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad4_len: (x:UInt32.t { UInt32.v x = B.length aad4 }) = 0ul let input4: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad4 }) = B.recall aad4;[@inline_let] let l = [ 0x2duy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input4_len: (x:UInt32.t { UInt32.v x = B.length input4 }) = 1ul let output4: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xbfuy; 0xe1uy; 0x5buy; 0x0buy; 0xdbuy; 0x6buy; 0xf5uy; 0x5euy; 0x6cuy; 0x5duy; 0x84uy; 0x44uy; 0x39uy; 0x81uy; 0xc1uy; 0x9cuy; 0xacuy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output4_len: (x:UInt32.t { UInt32.v x = B.length output4 }) = 17ul let key5: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x68uy; 0x7buy; 0x8duy; 0x8euy; 0xe3uy; 0xc4uy; 0xdduy; 0xaeuy; 0xdfuy; 0x72uy; 0x7fuy; 0x53uy; 0x72uy; 0x25uy; 0x1euy; 0x78uy; 0x91uy; 0xcbuy; 0x69uy; 0x76uy; 0x1fuy; 0x49uy; 0x93uy; 0xf9uy; 0x6fuy; 0x21uy; 0xccuy; 0x39uy; 0x9cuy; 0xaduy; 0xb1uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key5_len: (x:UInt32.t { UInt32.v x = B.length key5 }) = 32ul let nonce5: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdfuy; 0x51uy; 0x84uy; 0x82uy; 0x42uy; 0x0cuy; 0x75uy; 0x9cuy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce5_len: (x:UInt32.t { UInt32.v x = B.length nonce5 }) = 12ul let aad5: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0x70uy; 0xd3uy; 0x33uy; 0xf3uy; 0x8buy; 0x18uy; 0x0buy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad5_len: (x:UInt32.t { UInt32.v x = B.length aad5 }) = 7ul let input5: (b: B.buffer UInt8.t { B.length b = 129 /\ B.recallable b /\ B.disjoint b aad5 }) = B.recall aad5;[@inline_let] let l = [ 0x33uy; 0x2fuy; 0x94uy; 0xc1uy; 0xa4uy; 0xefuy; 0xccuy; 0x2auy; 0x5buy; 0xa6uy; 0xe5uy; 0x8fuy; 0x1duy; 0x40uy; 0xf0uy; 0x92uy; 0x3cuy; 0xd9uy; 0x24uy; 0x11uy; 0xa9uy; 0x71uy; 0xf9uy; 0x37uy; 0x14uy; 0x99uy; 0xfauy; 0xbeuy; 0xe6uy; 0x80uy; 0xdeuy; 0x50uy; 0xc9uy; 0x96uy; 0xd4uy; 0xb0uy; 0xecuy; 0x9euy; 0x17uy; 0xecuy; 0xd2uy; 0x5euy; 0x72uy; 0x99uy; 0xfcuy; 0x0auy; 0xe1uy; 0xcbuy; 0x48uy; 0xd2uy; 0x85uy; 0xdduy; 0x2fuy; 0x90uy; 0xe0uy; 0x66uy; 0x3buy; 0xe6uy; 0x20uy; 0x74uy; 0xbeuy; 0x23uy; 0x8fuy; 0xcbuy; 0xb4uy; 0xe4uy; 0xdauy; 0x48uy; 0x40uy; 0xa6uy; 0xd1uy; 0x1buy; 0xc7uy; 0x42uy; 0xceuy; 0x2fuy; 0x0cuy; 0xa6uy; 0x85uy; 0x6euy; 0x87uy; 0x37uy; 0x03uy; 0xb1uy; 0x7cuy; 0x25uy; 0x96uy; 0xa3uy; 0x05uy; 0xd8uy; 0xb0uy; 0xf4uy; 0xeduy; 0xeauy; 0xc2uy; 0xf0uy; 0x31uy; 0x98uy; 0x6cuy; 0xd1uy; 0x14uy; 0x25uy; 0xc0uy; 0xcbuy; 0x01uy; 0x74uy; 0xd0uy; 0x82uy; 0xf4uy; 0x36uy; 0xf5uy; 0x41uy; 0xd5uy; 0xdcuy; 0xcauy; 0xc5uy; 0xbbuy; 0x98uy; 0xfeuy; 0xfcuy; 0x69uy; 0x21uy; 0x70uy; 0xd8uy; 0xa4uy; 0x4buy; 0xc8uy; 0xdeuy; 0x8fuy; ] in assert_norm (List.Tot.length l = 129); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input5_len: (x:UInt32.t { UInt32.v x = B.length input5 }) = 129ul let output5: (b: B.buffer UInt8.t { B.length b = 145 /\ B.recallable b }) = [@inline_let] let l = [ 0x8buy; 0x06uy; 0xd3uy; 0x31uy; 0xb0uy; 0x93uy; 0x45uy; 0xb1uy; 0x75uy; 0x6euy; 0x26uy; 0xf9uy; 0x67uy; 0xbcuy; 0x90uy; 0x15uy; 0x81uy; 0x2cuy; 0xb5uy; 0xf0uy; 0xc6uy; 0x2buy; 0xc7uy; 0x8cuy; 0x56uy; 0xd1uy; 0xbfuy; 0x69uy; 0x6cuy; 0x07uy; 0xa0uy; 0xdauy; 0x65uy; 0x27uy; 0xc9uy; 0x90uy; 0x3duy; 0xefuy; 0x4buy; 0x11uy; 0x0fuy; 0x19uy; 0x07uy; 0xfduy; 0x29uy; 0x92uy; 0xd9uy; 0xc8uy; 0xf7uy; 0x99uy; 0x2euy; 0x4auy; 0xd0uy; 0xb8uy; 0x2cuy; 0xdcuy; 0x93uy; 0xf5uy; 0x9euy; 0x33uy; 0x78uy; 0xd1uy; 0x37uy; 0xc3uy; 0x66uy; 0xd7uy; 0x5euy; 0xbcuy; 0x44uy; 0xbfuy; 0x53uy; 0xa5uy; 0xbcuy; 0xc4uy; 0xcbuy; 0x7buy; 0x3auy; 0x8euy; 0x7fuy; 0x02uy; 0xbduy; 0xbbuy; 0xe7uy; 0xcauy; 0xa6uy; 0x6cuy; 0x6buy; 0x93uy; 0x21uy; 0x93uy; 0x10uy; 0x61uy; 0xe7uy; 0x69uy; 0xd0uy; 0x78uy; 0xf3uy; 0x07uy; 0x5auy; 0x1auy; 0x8fuy; 0x73uy; 0xaauy; 0xb1uy; 0x4euy; 0xd3uy; 0xdauy; 0x4fuy; 0xf3uy; 0x32uy; 0xe1uy; 0x66uy; 0x3euy; 0x6cuy; 0xc6uy; 0x13uy; 0xbauy; 0x06uy; 0x5buy; 0xfcuy; 0x6auy; 0xe5uy; 0x6fuy; 0x60uy; 0xfbuy; 0x07uy; 0x40uy; 0xb0uy; 0x8cuy; 0x9duy; 0x84uy; 0x43uy; 0x6buy; 0xc1uy; 0xf7uy; 0x8duy; 0x8duy; 0x31uy; 0xf7uy; 0x7auy; 0x39uy; 0x4duy; 0x8fuy; 0x9auy; 0xebuy; ] in assert_norm (List.Tot.length l = 145); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output5_len: (x:UInt32.t { UInt32.v x = B.length output5 }) = 145ul let key6: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x8duy; 0xb8uy; 0x91uy; 0x48uy; 0xf0uy; 0xe7uy; 0x0auy; 0xbduy; 0xf9uy; 0x3fuy; 0xcduy; 0xd9uy; 0xa0uy; 0x1euy; 0x42uy; 0x4cuy; 0xe7uy; 0xdeuy; 0x25uy; 0x3duy; 0xa3uy; 0xd7uy; 0x05uy; 0x80uy; 0x8duy; 0xf2uy; 0x82uy; 0xacuy; 0x44uy; 0x16uy; 0x51uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key6_len: (x:UInt32.t { UInt32.v x = B.length key6 }) = 32ul let nonce6: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdeuy; 0x7buy; 0xefuy; 0xc3uy; 0x65uy; 0x1buy; 0x68uy; 0xb0uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce6_len: (x:UInt32.t { UInt32.v x = B.length nonce6 }) = 12ul let aad6: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad6_len: (x:UInt32.t { UInt32.v x = B.length aad6 }) = 0ul let input6: (b: B.buffer UInt8.t { B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6 }) = B.recall aad6;[@inline_let] let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy; ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input6_len: (x:UInt32.t { UInt32.v x = B.length input6 }) = 256ul let output6: (b: B.buffer UInt8.t { B.length b = 272 /\ B.recallable b }) = [@inline_let] let l = [ 0x85uy; 0x04uy; 0xc2uy; 0xeduy; 0x8duy; 0xfduy; 0x97uy; 0x5cuy; 0xd2uy; 0xb7uy; 0xe2uy; 0xc1uy; 0x6buy; 0xa3uy; 0xbauy; 0xf8uy; 0xc9uy; 0x50uy; 0xc3uy; 0xc6uy; 0xa5uy; 0xe3uy; 0xa4uy; 0x7cuy; 0xc3uy; 0x23uy; 0x49uy; 0x5euy; 0xa9uy; 0xb9uy; 0x32uy; 0xebuy; 0x8auy; 0x7cuy; 0xcauy; 0xe5uy; 0xecuy; 0xfbuy; 0x7cuy; 0xc0uy; 0xcbuy; 0x7duy; 0xdcuy; 0x2cuy; 0x9duy; 0x92uy; 0x55uy; 0x21uy; 0x0auy; 0xc8uy; 0x43uy; 0x63uy; 0x59uy; 0x0auy; 0x31uy; 0x70uy; 0x82uy; 0x67uy; 0x41uy; 0x03uy; 0xf8uy; 0xdfuy; 0xf2uy; 0xacuy; 0xa7uy; 0x02uy; 0xd4uy; 0xd5uy; 0x8auy; 0x2duy; 0xc8uy; 0x99uy; 0x19uy; 0x66uy; 0xd0uy; 0xf6uy; 0x88uy; 0x2cuy; 0x77uy; 0xd9uy; 0xd4uy; 0x0duy; 0x6cuy; 0xbduy; 0x98uy; 0xdeuy; 0xe7uy; 0x7fuy; 0xaduy; 0x7euy; 0x8auy; 0xfbuy; 0xe9uy; 0x4buy; 0xe5uy; 0xf7uy; 0xe5uy; 0x50uy; 0xa0uy; 0x90uy; 0x3fuy; 0xd6uy; 0x22uy; 0x53uy; 0xe3uy; 0xfeuy; 0x1buy; 0xccuy; 0x79uy; 0x3buy; 0xecuy; 0x12uy; 0x47uy; 0x52uy; 0xa7uy; 0xd6uy; 0x04uy; 0xe3uy; 0x52uy; 0xe6uy; 0x93uy; 0x90uy; 0x91uy; 0x32uy; 0x73uy; 0x79uy; 0xb8uy; 0xd0uy; 0x31uy; 0xdeuy; 0x1fuy; 0x9fuy; 0x2fuy; 0x05uy; 0x38uy; 0x54uy; 0x2fuy; 0x35uy; 0x04uy; 0x39uy; 0xe0uy; 0xa7uy; 0xbauy; 0xc6uy; 0x52uy; 0xf6uy; 0x37uy; 0x65uy; 0x4cuy; 0x07uy; 0xa9uy; 0x7euy; 0xb3uy; 0x21uy; 0x6fuy; 0x74uy; 0x8cuy; 0xc9uy; 0xdeuy; 0xdbuy; 0x65uy; 0x1buy; 0x9buy; 0xaauy; 0x60uy; 0xb1uy; 0x03uy; 0x30uy; 0x6buy; 0xb2uy; 0x03uy; 0xc4uy; 0x1cuy; 0x04uy; 0xf8uy; 0x0fuy; 0x64uy; 0xafuy; 0x46uy; 0xe4uy; 0x65uy; 0x99uy; 0x49uy; 0xe2uy; 0xeauy; 0xceuy; 0x78uy; 0x00uy; 0xd8uy; 0x8buy; 0xd5uy; 0x2euy; 0xcfuy; 0xfcuy; 0x40uy; 0x49uy; 0xe8uy; 0x58uy; 0xdcuy; 0x34uy; 0x9cuy; 0x8cuy; 0x61uy; 0xbfuy; 0x0auy; 0x8euy; 0xecuy; 0x39uy; 0xa9uy; 0x30uy; 0x05uy; 0x5auy; 0xd2uy; 0x56uy; 0x01uy; 0xc7uy; 0xdauy; 0x8fuy; 0x4euy; 0xbbuy; 0x43uy; 0xa3uy; 0x3auy; 0xf9uy; 0x15uy; 0x2auy; 0xd0uy; 0xa0uy; 0x7auy; 0x87uy; 0x34uy; 0x82uy; 0xfeuy; 0x8auy; 0xd1uy; 0x2duy; 0x5euy; 0xc7uy; 0xbfuy; 0x04uy; 0x53uy; 0x5fuy; 0x3buy; 0x36uy; 0xd4uy; 0x25uy; 0x5cuy; 0x34uy; 0x7auy; 0x8duy; 0xd5uy; 0x05uy; 0xceuy; 0x72uy; 0xcauy; 0xefuy; 0x7auy; 0x4buy; 0xbcuy; 0xb0uy; 0x10uy; 0x5cuy; 0x96uy; 0x42uy; 0x3auy; 0x00uy; 0x98uy; 0xcduy; 0x15uy; 0xe8uy; 0xb7uy; 0x53uy; ] in assert_norm (List.Tot.length l = 272); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output6_len: (x:UInt32.t { UInt32.v x = B.length output6 }) = 272ul let key7: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xf2uy; 0xaauy; 0x4fuy; 0x99uy; 0xfduy; 0x3euy; 0xa8uy; 0x53uy; 0xc1uy; 0x44uy; 0xe9uy; 0x81uy; 0x18uy; 0xdcuy; 0xf5uy; 0xf0uy; 0x3euy; 0x44uy; 0x15uy; 0x59uy; 0xe0uy; 0xc5uy; 0x44uy; 0x86uy; 0xc3uy; 0x91uy; 0xa8uy; 0x75uy; 0xc0uy; 0x12uy; 0x46uy; 0xbauy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key7_len: (x:UInt32.t { UInt32.v x = B.length key7 }) = 32ul let nonce7: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x0euy; 0x0duy; 0x57uy; 0xbbuy; 0x7buy; 0x40uy; 0x54uy; 0x02uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce7_len: (x:UInt32.t { UInt32.v x = B.length nonce7 }) = 12ul let aad7: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad7_len: (x:UInt32.t { UInt32.v x = B.length aad7 }) = 0ul let input7: (b: B.buffer UInt8.t { B.length b = 512 /\ B.recallable b /\ B.disjoint b aad7 }) = B.recall aad7;[@inline_let] let l = [ 0xc3uy; 0x09uy; 0x94uy; 0x62uy; 0xe6uy; 0x46uy; 0x2euy; 0x10uy; 0xbeuy; 0x00uy; 0xe4uy; 0xfcuy; 0xf3uy; 0x40uy; 0xa3uy; 0xe2uy; 0x0fuy; 0xc2uy; 0x8buy; 0x28uy; 0xdcuy; 0xbauy; 0xb4uy; 0x3cuy; 0xe4uy; 0x21uy; 0x58uy; 0x61uy; 0xcduy; 0x8buy; 0xcduy; 0xfbuy; 0xacuy; 0x94uy; 0xa1uy; 0x45uy; 0xf5uy; 0x1cuy; 0xe1uy; 0x12uy; 0xe0uy; 0x3buy; 0x67uy; 0x21uy; 0x54uy; 0x5euy; 0x8cuy; 0xaauy; 0xcfuy; 0xdbuy; 0xb4uy; 0x51uy; 0xd4uy; 0x13uy; 0xdauy; 0xe6uy; 0x83uy; 0x89uy; 0xb6uy; 0x92uy; 0xe9uy; 0x21uy; 0x76uy; 0xa4uy; 0x93uy; 0x7duy; 0x0euy; 0xfduy; 0x96uy; 0x36uy; 0x03uy; 0x91uy; 0x43uy; 0x5cuy; 0x92uy; 0x49uy; 0x62uy; 0x61uy; 0x7buy; 0xebuy; 0x43uy; 0x89uy; 0xb8uy; 0x12uy; 0x20uy; 0x43uy; 0xd4uy; 0x47uy; 0x06uy; 0x84uy; 0xeeuy; 0x47uy; 0xe9uy; 0x8auy; 0x73uy; 0x15uy; 0x0fuy; 0x72uy; 0xcfuy; 0xeduy; 0xceuy; 0x96uy; 0xb2uy; 0x7fuy; 0x21uy; 0x45uy; 0x76uy; 0xebuy; 0x26uy; 0x28uy; 0x83uy; 0x6auy; 0xaduy; 0xaauy; 0xa6uy; 0x81uy; 0xd8uy; 0x55uy; 0xb1uy; 0xa3uy; 0x85uy; 0xb3uy; 0x0cuy; 0xdfuy; 0xf1uy; 0x69uy; 0x2duy; 0x97uy; 0x05uy; 0x2auy; 0xbcuy; 0x7cuy; 0x7buy; 0x25uy; 0xf8uy; 0x80uy; 0x9duy; 0x39uy; 0x25uy; 0xf3uy; 0x62uy; 0xf0uy; 0x66uy; 0x5euy; 0xf4uy; 0xa0uy; 0xcfuy; 0xd8uy; 0xfduy; 0x4fuy; 0xb1uy; 0x1fuy; 0x60uy; 0x3auy; 0x08uy; 0x47uy; 0xafuy; 0xe1uy; 0xf6uy; 0x10uy; 0x77uy; 0x09uy; 0xa7uy; 0x27uy; 0x8fuy; 0x9auy; 0x97uy; 0x5auy; 0x26uy; 0xfauy; 0xfeuy; 0x41uy; 0x32uy; 0x83uy; 0x10uy; 0xe0uy; 0x1duy; 0xbfuy; 0x64uy; 0x0duy; 0xf4uy; 0x1cuy; 0x32uy; 0x35uy; 0xe5uy; 0x1buy; 0x36uy; 0xefuy; 0xd4uy; 0x4auy; 0x93uy; 0x4duy; 0x00uy; 0x7cuy; 0xecuy; 0x02uy; 0x07uy; 0x8buy; 0x5duy; 0x7duy; 0x1buy; 0x0euy; 0xd1uy; 0xa6uy; 0xa5uy; 0x5duy; 0x7duy; 0x57uy; 0x88uy; 0xa8uy; 0xccuy; 0x81uy; 0xb4uy; 0x86uy; 0x4euy; 0xb4uy; 0x40uy; 0xe9uy; 0x1duy; 0xc3uy; 0xb1uy; 0x24uy; 0x3euy; 0x7fuy; 0xccuy; 0x8auy; 0x24uy; 0x9buy; 0xdfuy; 0x6duy; 0xf0uy; 0x39uy; 0x69uy; 0x3euy; 0x4cuy; 0xc0uy; 0x96uy; 0xe4uy; 0x13uy; 0xdauy; 0x90uy; 0xdauy; 0xf4uy; 0x95uy; 0x66uy; 0x8buy; 0x17uy; 0x17uy; 0xfeuy; 0x39uy; 0x43uy; 0x25uy; 0xaauy; 0xdauy; 0xa0uy; 0x43uy; 0x3cuy; 0xb1uy; 0x41uy; 0x02uy; 0xa3uy; 0xf0uy; 0xa7uy; 0x19uy; 0x59uy; 0xbcuy; 0x1duy; 0x7duy; 0x6cuy; 0x6duy; 0x91uy; 0x09uy; 0x5cuy; 0xb7uy; 0x5buy; 0x01uy; 0xd1uy; 0x6fuy; 0x17uy; 0x21uy; 0x97uy; 0xbfuy; 0x89uy; 0x71uy; 0xa5uy; 0xb0uy; 0x6euy; 0x07uy; 0x45uy; 0xfduy; 0x9duy; 0xeauy; 0x07uy; 0xf6uy; 0x7auy; 0x9fuy; 0x10uy; 0x18uy; 0x22uy; 0x30uy; 0x73uy; 0xacuy; 0xd4uy; 0x6buy; 0x72uy; 0x44uy; 0xeduy; 0xd9uy; 0x19uy; 0x9buy; 0x2duy; 0x4auy; 0x41uy; 0xdduy; 0xd1uy; 0x85uy; 0x5euy; 0x37uy; 0x19uy; 0xeduy; 0xd2uy; 0x15uy; 0x8fuy; 0x5euy; 0x91uy; 0xdbuy; 0x33uy; 0xf2uy; 0xe4uy; 0xdbuy; 0xffuy; 0x98uy; 0xfbuy; 0xa3uy; 0xb5uy; 0xcauy; 0x21uy; 0x69uy; 0x08uy; 0xe7uy; 0x8auy; 0xdfuy; 0x90uy; 0xffuy; 0x3euy; 0xe9uy; 0x20uy; 0x86uy; 0x3cuy; 0xe9uy; 0xfcuy; 0x0buy; 0xfeuy; 0x5cuy; 0x61uy; 0xaauy; 0x13uy; 0x92uy; 0x7fuy; 0x7buy; 0xecuy; 0xe0uy; 0x6duy; 0xa8uy; 0x23uy; 0x22uy; 0xf6uy; 0x6buy; 0x77uy; 0xc4uy; 0xfeuy; 0x40uy; 0x07uy; 0x3buy; 0xb6uy; 0xf6uy; 0x8euy; 0x5fuy; 0xd4uy; 0xb9uy; 0xb7uy; 0x0fuy; 0x21uy; 0x04uy; 0xefuy; 0x83uy; 0x63uy; 0x91uy; 0x69uy; 0x40uy; 0xa3uy; 0x48uy; 0x5cuy; 0xd2uy; 0x60uy; 0xf9uy; 0x4fuy; 0x6cuy; 0x47uy; 0x8buy; 0x3buy; 0xb1uy; 0x9fuy; 0x8euy; 0xeeuy; 0x16uy; 0x8auy; 0x13uy; 0xfcuy; 0x46uy; 0x17uy; 0xc3uy; 0xc3uy; 0x32uy; 0x56uy; 0xf8uy; 0x3cuy; 0x85uy; 0x3auy; 0xb6uy; 0x3euy; 0xaauy; 0x89uy; 0x4fuy; 0xb3uy; 0xdfuy; 0x38uy; 0xfduy; 0xf1uy; 0xe4uy; 0x3auy; 0xc0uy; 0xe6uy; 0x58uy; 0xb5uy; 0x8fuy; 0xc5uy; 0x29uy; 0xa2uy; 0x92uy; 0x4auy; 0xb6uy; 0xa0uy; 0x34uy; 0x7fuy; 0xabuy; 0xb5uy; 0x8auy; 0x90uy; 0xa1uy; 0xdbuy; 0x4duy; 0xcauy; 0xb6uy; 0x2cuy; 0x41uy; 0x3cuy; 0xf7uy; 0x2buy; 0x21uy; 0xc3uy; 0xfduy; 0xf4uy; 0x17uy; 0x5cuy; 0xb5uy; 0x33uy; 0x17uy; 0x68uy; 0x2buy; 0x08uy; 0x30uy; 0xf3uy; 0xf7uy; 0x30uy; 0x3cuy; 0x96uy; 0xe6uy; 0x6auy; 0x20uy; 0x97uy; 0xe7uy; 0x4duy; 0x10uy; 0x5fuy; 0x47uy; 0x5fuy; 0x49uy; 0x96uy; 0x09uy; 0xf0uy; 0x27uy; 0x91uy; 0xc8uy; 0xf8uy; 0x5auy; 0x2euy; 0x79uy; 0xb5uy; 0xe2uy; 0xb8uy; 0xe8uy; 0xb9uy; 0x7buy; 0xd5uy; 0x10uy; 0xcbuy; 0xffuy; 0x5duy; 0x14uy; 0x73uy; 0xf3uy; ] in assert_norm (List.Tot.length l = 512); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input7_len: (x:UInt32.t { UInt32.v x = B.length input7 }) = 512ul let output7: (b: B.buffer UInt8.t { B.length b = 528 /\ B.recallable b }) = [@inline_let] let l = [ 0x14uy; 0xf6uy; 0x41uy; 0x37uy; 0xa6uy; 0xd4uy; 0x27uy; 0xcduy; 0xdbuy; 0x06uy; 0x3euy; 0x9auy; 0x4euy; 0xabuy; 0xd5uy; 0xb1uy; 0x1euy; 0x6buy; 0xd2uy; 0xbcuy; 0x11uy; 0xf4uy; 0x28uy; 0x93uy; 0x63uy; 0x54uy; 0xefuy; 0xbbuy; 0x5euy; 0x1duy; 0x3auy; 0x1duy; 0x37uy; 0x3cuy; 0x0auy; 0x6cuy; 0x1euy; 0xc2uy; 0xd1uy; 0x2cuy; 0xb5uy; 0xa3uy; 0xb5uy; 0x7buy; 0xb8uy; 0x8fuy; 0x25uy; 0xa6uy; 0x1buy; 0x61uy; 0x1cuy; 0xecuy; 0x28uy; 0x58uy; 0x26uy; 0xa4uy; 0xa8uy; 0x33uy; 0x28uy; 0x25uy; 0x5cuy; 0x45uy; 0x05uy; 0xe5uy; 0x6cuy; 0x99uy; 0xe5uy; 0x45uy; 0xc4uy; 0xa2uy; 0x03uy; 0x84uy; 0x03uy; 0x73uy; 0x1euy; 0x8cuy; 0x49uy; 0xacuy; 0x20uy; 0xdduy; 0x8duy; 0xb3uy; 0xc4uy; 0xf5uy; 0xe7uy; 0x4fuy; 0xf1uy; 0xeduy; 0xa1uy; 0x98uy; 0xdeuy; 0xa4uy; 0x96uy; 0xdduy; 0x2fuy; 0xabuy; 0xabuy; 0x97uy; 0xcfuy; 0x3euy; 0xd2uy; 0x9euy; 0xb8uy; 0x13uy; 0x07uy; 0x28uy; 0x29uy; 0x19uy; 0xafuy; 0xfduy; 0xf2uy; 0x49uy; 0x43uy; 0xeauy; 0x49uy; 0x26uy; 0x91uy; 0xc1uy; 0x07uy; 0xd6uy; 0xbbuy; 0x81uy; 0x75uy; 0x35uy; 0x0duy; 0x24uy; 0x7fuy; 0xc8uy; 0xdauy; 0xd4uy; 0xb7uy; 0xebuy; 0xe8uy; 0x5cuy; 0x09uy; 0xa2uy; 0x2fuy; 0xdcuy; 0x28uy; 0x7duy; 0x3auy; 0x03uy; 0xfauy; 0x94uy; 0xb5uy; 0x1duy; 0x17uy; 0x99uy; 0x36uy; 0xc3uy; 0x1cuy; 0x18uy; 0x34uy; 0xe3uy; 0x9fuy; 0xf5uy; 0x55uy; 0x7cuy; 0xb0uy; 0x60uy; 0x9duy; 0xffuy; 0xacuy; 0xd4uy; 0x61uy; 0xf2uy; 0xaduy; 0xf8uy; 0xceuy; 0xc7uy; 0xbeuy; 0x5cuy; 0xd2uy; 0x95uy; 0xa8uy; 0x4buy; 0x77uy; 0x13uy; 0x19uy; 0x59uy; 0x26uy; 0xc9uy; 0xb7uy; 0x8fuy; 0x6auy; 0xcbuy; 0x2duy; 0x37uy; 0x91uy; 0xeauy; 0x92uy; 0x9cuy; 0x94uy; 0x5buy; 0xdauy; 0x0buy; 0xceuy; 0xfeuy; 0x30uy; 0x20uy; 0xf8uy; 0x51uy; 0xaduy; 0xf2uy; 0xbeuy; 0xe7uy; 0xc7uy; 0xffuy; 0xb3uy; 0x33uy; 0x91uy; 0x6auy; 0xc9uy; 0x1auy; 0x41uy; 0xc9uy; 0x0fuy; 0xf3uy; 0x10uy; 0x0euy; 0xfduy; 0x53uy; 0xffuy; 0x6cuy; 0x16uy; 0x52uy; 0xd9uy; 0xf3uy; 0xf7uy; 0x98uy; 0x2euy; 0xc9uy; 0x07uy; 0x31uy; 0x2cuy; 0x0cuy; 0x72uy; 0xd7uy; 0xc5uy; 0xc6uy; 0x08uy; 0x2auy; 0x7buy; 0xdauy; 0xbduy; 0x7euy; 0x02uy; 0xeauy; 0x1auy; 0xbbuy; 0xf2uy; 0x04uy; 0x27uy; 0x61uy; 0x28uy; 0x8euy; 0xf5uy; 0x04uy; 0x03uy; 0x1fuy; 0x4cuy; 0x07uy; 0x55uy; 0x82uy; 0xecuy; 0x1euy; 0xd7uy; 0x8buy; 0x2fuy; 0x65uy; 0x56uy; 0xd1uy; 0xd9uy; 0x1euy; 0x3cuy; 0xe9uy; 0x1fuy; 0x5euy; 0x98uy; 0x70uy; 0x38uy; 0x4auy; 0x8cuy; 0x49uy; 0xc5uy; 0x43uy; 0xa0uy; 0xa1uy; 0x8buy; 0x74uy; 0x9duy; 0x4cuy; 0x62uy; 0x0duy; 0x10uy; 0x0cuy; 0xf4uy; 0x6cuy; 0x8fuy; 0xe0uy; 0xaauy; 0x9auy; 0x8duy; 0xb7uy; 0xe0uy; 0xbeuy; 0x4cuy; 0x87uy; 0xf1uy; 0x98uy; 0x2fuy; 0xccuy; 0xeduy; 0xc0uy; 0x52uy; 0x29uy; 0xdcuy; 0x83uy; 0xf8uy; 0xfcuy; 0x2cuy; 0x0euy; 0xa8uy; 0x51uy; 0x4duy; 0x80uy; 0x0duy; 0xa3uy; 0xfeuy; 0xd8uy; 0x37uy; 0xe7uy; 0x41uy; 0x24uy; 0xfcuy; 0xfbuy; 0x75uy; 0xe3uy; 0x71uy; 0x7buy; 0x57uy; 0x45uy; 0xf5uy; 0x97uy; 0x73uy; 0x65uy; 0x63uy; 0x14uy; 0x74uy; 0xb8uy; 0x82uy; 0x9fuy; 0xf8uy; 0x60uy; 0x2fuy; 0x8auy; 0xf2uy; 0x4euy; 0xf1uy; 0x39uy; 0xdauy; 0x33uy; 0x91uy; 0xf8uy; 0x36uy; 0xe0uy; 0x8duy; 0x3fuy; 0x1fuy; 0x3buy; 0x56uy; 0xdcuy; 0xa0uy; 0x8fuy; 0x3cuy; 0x9duy; 0x71uy; 0x52uy; 0xa7uy; 0xb8uy; 0xc0uy; 0xa5uy; 0xc6uy; 0xa2uy; 0x73uy; 0xdauy; 0xf4uy; 0x4buy; 0x74uy; 0x5buy; 0x00uy; 0x3duy; 0x99uy; 0xd7uy; 0x96uy; 0xbauy; 0xe6uy; 0xe1uy; 0xa6uy; 0x96uy; 0x38uy; 0xaduy; 0xb3uy; 0xc0uy; 0xd2uy; 0xbauy; 0x91uy; 0x6buy; 0xf9uy; 0x19uy; 0xdduy; 0x3buy; 0xbeuy; 0xbeuy; 0x9cuy; 0x20uy; 0x50uy; 0xbauy; 0xa1uy; 0xd0uy; 0xceuy; 0x11uy; 0xbduy; 0x95uy; 0xd8uy; 0xd1uy; 0xdduy; 0x33uy; 0x85uy; 0x74uy; 0xdcuy; 0xdbuy; 0x66uy; 0x76uy; 0x44uy; 0xdcuy; 0x03uy; 0x74uy; 0x48uy; 0x35uy; 0x98uy; 0xb1uy; 0x18uy; 0x47uy; 0x94uy; 0x7duy; 0xffuy; 0x62uy; 0xe4uy; 0x58uy; 0x78uy; 0xabuy; 0xeduy; 0x95uy; 0x36uy; 0xd9uy; 0x84uy; 0x91uy; 0x82uy; 0x64uy; 0x41uy; 0xbbuy; 0x58uy; 0xe6uy; 0x1cuy; 0x20uy; 0x6duy; 0x15uy; 0x6buy; 0x13uy; 0x96uy; 0xe8uy; 0x35uy; 0x7fuy; 0xdcuy; 0x40uy; 0x2cuy; 0xe9uy; 0xbcuy; 0x8auy; 0x4fuy; 0x92uy; 0xecuy; 0x06uy; 0x2duy; 0x50uy; 0xdfuy; 0x93uy; 0x5duy; 0x65uy; 0x5auy; 0xa8uy; 0xfcuy; 0x20uy; 0x50uy; 0x14uy; 0xa9uy; 0x8auy; 0x7euy; 0x1duy; 0x08uy; 0x1fuy; 0xe2uy; 0x99uy; 0xd0uy; 0xbeuy; 0xfbuy; 0x3auy; 0x21uy; 0x9duy; 0xaduy; 0x86uy; 0x54uy; 0xfduy; 0x0duy; 0x98uy; 0x1cuy; 0x5auy; 0x6fuy; 0x1fuy; 0x9auy; 0x40uy; 0xcduy; 0xa2uy; 0xffuy; 0x6auy; 0xf1uy; 0x54uy; ] in assert_norm (List.Tot.length l = 528); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output7_len: (x:UInt32.t { UInt32.v x = B.length output7 }) = 528ul let key8: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xbcuy; 0x56uy; 0x99uy; 0xe3uy; 0x50uy; 0xffuy; 0xc5uy; 0xccuy; 0x1auy; 0xd7uy; 0xc1uy; 0x57uy; 0x72uy; 0xeauy; 0x86uy; 0x5buy; 0x89uy; 0x88uy; 0x61uy; 0x3duy; 0x2fuy; 0x9buy; 0xb2uy; 0xe7uy; 0x9cuy; 0xecuy; 0x74uy; 0x6euy; 0x3euy; 0xf4uy; 0x3buy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key8_len: (x:UInt32.t { UInt32.v x = B.length key8 }) = 32ul let nonce8: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xefuy; 0x2duy; 0x63uy; 0xeeuy; 0x6buy; 0x80uy; 0x8buy; 0x78uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce8_len: (x:UInt32.t { UInt32.v x = B.length nonce8 }) = 12ul let aad8: (b: B.buffer UInt8.t { B.length b = 9 /\ B.recallable b }) = [@inline_let] let l = [ 0x5auy; 0x27uy; 0xffuy; 0xebuy; 0xdfuy; 0x84uy; 0xb2uy; 0x9euy; 0xefuy; ] in assert_norm (List.Tot.length l = 9); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad8_len: (x:UInt32.t { UInt32.v x = B.length aad8 }) = 9ul let input8: (b: B.buffer UInt8.t { B.length b = 513 /\ B.recallable b /\ B.disjoint b aad8 }) = B.recall aad8;[@inline_let] let l = [ 0xe6uy; 0xc3uy; 0xdbuy; 0x63uy; 0x55uy; 0x15uy; 0xe3uy; 0x5buy; 0xb7uy; 0x4buy; 0x27uy; 0x8buy; 0x5auy; 0xdduy; 0xc2uy; 0xe8uy; 0x3auy; 0x6buy; 0xd7uy; 0x81uy; 0x96uy; 0x35uy; 0x97uy; 0xcauy; 0xd7uy; 0x68uy; 0xe8uy; 0xefuy; 0xceuy; 0xabuy; 0xdauy; 0x09uy; 0x6euy; 0xd6uy; 0x8euy; 0xcbuy; 0x55uy; 0xb5uy; 0xe1uy; 0xe5uy; 0x57uy; 0xfduy; 0xc4uy; 0xe3uy; 0xe0uy; 0x18uy; 0x4fuy; 0x85uy; 0xf5uy; 0x3fuy; 0x7euy; 0x4buy; 0x88uy; 0xc9uy; 0x52uy; 0x44uy; 0x0fuy; 0xeauy; 0xafuy; 0x1fuy; 0x71uy; 0x48uy; 0x9fuy; 0x97uy; 0x6duy; 0xb9uy; 0x6fuy; 0x00uy; 0xa6uy; 0xdeuy; 0x2buy; 0x77uy; 0x8buy; 0x15uy; 0xaduy; 0x10uy; 0xa0uy; 0x2buy; 0x7buy; 0x41uy; 0x90uy; 0x03uy; 0x2duy; 0x69uy; 0xaeuy; 0xccuy; 0x77uy; 0x7cuy; 0xa5uy; 0x9duy; 0x29uy; 0x22uy; 0xc2uy; 0xeauy; 0xb4uy; 0x00uy; 0x1auy; 0xd2uy; 0x7auy; 0x98uy; 0x8auy; 0xf9uy; 0xf7uy; 0x82uy; 0xb0uy; 0xabuy; 0xd8uy; 0xa6uy; 0x94uy; 0x8duy; 0x58uy; 0x2fuy; 0x01uy; 0x9euy; 0x00uy; 0x20uy; 0xfcuy; 0x49uy; 0xdcuy; 0x0euy; 0x03uy; 0xe8uy; 0x45uy; 0x10uy; 0xd6uy; 0xa8uy; 0xdauy; 0x55uy; 0x10uy; 0x9auy; 0xdfuy; 0x67uy; 0x22uy; 0x8buy; 0x43uy; 0xabuy; 0x00uy; 0xbbuy; 0x02uy; 0xc8uy; 0xdduy; 0x7buy; 0x97uy; 0x17uy; 0xd7uy; 0x1duy; 0x9euy; 0x02uy; 0x5euy; 0x48uy; 0xdeuy; 0x8euy; 0xcfuy; 0x99uy; 0x07uy; 0x95uy; 0x92uy; 0x3cuy; 0x5fuy; 0x9fuy; 0xc5uy; 0x8auy; 0xc0uy; 0x23uy; 0xaauy; 0xd5uy; 0x8cuy; 0x82uy; 0x6euy; 0x16uy; 0x92uy; 0xb1uy; 0x12uy; 0x17uy; 0x07uy; 0xc3uy; 0xfbuy; 0x36uy; 0xf5uy; 0x6cuy; 0x35uy; 0xd6uy; 0x06uy; 0x1fuy; 0x9fuy; 0xa7uy; 0x94uy; 0xa2uy; 0x38uy; 0x63uy; 0x9cuy; 0xb0uy; 0x71uy; 0xb3uy; 0xa5uy; 0xd2uy; 0xd8uy; 0xbauy; 0x9fuy; 0x08uy; 0x01uy; 0xb3uy; 0xffuy; 0x04uy; 0x97uy; 0x73uy; 0x45uy; 0x1buy; 0xd5uy; 0xa9uy; 0x9cuy; 0x80uy; 0xafuy; 0x04uy; 0x9auy; 0x85uy; 0xdbuy; 0x32uy; 0x5buy; 0x5duy; 0x1auy; 0xc1uy; 0x36uy; 0x28uy; 0x10uy; 0x79uy; 0xf1uy; 0x3cuy; 0xbfuy; 0x1auy; 0x41uy; 0x5cuy; 0x4euy; 0xdfuy; 0xb2uy; 0x7cuy; 0x79uy; 0x3buy; 0x7auy; 0x62uy; 0x3duy; 0x4buy; 0xc9uy; 0x9buy; 0x2auy; 0x2euy; 0x7cuy; 0xa2uy; 0xb1uy; 0x11uy; 0x98uy; 0xa7uy; 0x34uy; 0x1auy; 0x00uy; 0xf3uy; 0xd1uy; 0xbcuy; 0x18uy; 0x22uy; 0xbauy; 0x02uy; 0x56uy; 0x62uy; 0x31uy; 0x10uy; 0x11uy; 0x6duy; 0xe0uy; 0x54uy; 0x9duy; 0x40uy; 0x1fuy; 0x26uy; 0x80uy; 0x41uy; 0xcauy; 0x3fuy; 0x68uy; 0x0fuy; 0x32uy; 0x1duy; 0x0auy; 0x8euy; 0x79uy; 0xd8uy; 0xa4uy; 0x1buy; 0x29uy; 0x1cuy; 0x90uy; 0x8euy; 0xc5uy; 0xe3uy; 0xb4uy; 0x91uy; 0x37uy; 0x9auy; 0x97uy; 0x86uy; 0x99uy; 0xd5uy; 0x09uy; 0xc5uy; 0xbbuy; 0xa3uy; 0x3fuy; 0x21uy; 0x29uy; 0x82uy; 0x14uy; 0x5cuy; 0xabuy; 0x25uy; 0xfbuy; 0xf2uy; 0x4fuy; 0x58uy; 0x26uy; 0xd4uy; 0x83uy; 0xaauy; 0x66uy; 0x89uy; 0x67uy; 0x7euy; 0xc0uy; 0x49uy; 0xe1uy; 0x11uy; 0x10uy; 0x7fuy; 0x7auy; 0xdauy; 0x29uy; 0x04uy; 0xffuy; 0xf0uy; 0xcbuy; 0x09uy; 0x7cuy; 0x9duy; 0xfauy; 0x03uy; 0x6fuy; 0x81uy; 0x09uy; 0x31uy; 0x60uy; 0xfbuy; 0x08uy; 0xfauy; 0x74uy; 0xd3uy; 0x64uy; 0x44uy; 0x7cuy; 0x55uy; 0x85uy; 0xecuy; 0x9cuy; 0x6euy; 0x25uy; 0xb7uy; 0x6cuy; 0xc5uy; 0x37uy; 0xb6uy; 0x83uy; 0x87uy; 0x72uy; 0x95uy; 0x8buy; 0x9duy; 0xe1uy; 0x69uy; 0x5cuy; 0x31uy; 0x95uy; 0x42uy; 0xa6uy; 0x2cuy; 0xd1uy; 0x36uy; 0x47uy; 0x1fuy; 0xecuy; 0x54uy; 0xabuy; 0xa2uy; 0x1cuy; 0xd8uy; 0x00uy; 0xccuy; 0xbcuy; 0x0duy; 0x65uy; 0xe2uy; 0x67uy; 0xbfuy; 0xbcuy; 0xeauy; 0xeeuy; 0x9euy; 0xe4uy; 0x36uy; 0x95uy; 0xbeuy; 0x73uy; 0xd9uy; 0xa6uy; 0xd9uy; 0x0fuy; 0xa0uy; 0xccuy; 0x82uy; 0x76uy; 0x26uy; 0xaduy; 0x5buy; 0x58uy; 0x6cuy; 0x4euy; 0xabuy; 0x29uy; 0x64uy; 0xd3uy; 0xd9uy; 0xa9uy; 0x08uy; 0x8cuy; 0x1duy; 0xa1uy; 0x4fuy; 0x80uy; 0xd8uy; 0x3fuy; 0x94uy; 0xfbuy; 0xd3uy; 0x7buy; 0xfcuy; 0xd1uy; 0x2buy; 0xc3uy; 0x21uy; 0xebuy; 0xe5uy; 0x1cuy; 0x84uy; 0x23uy; 0x7fuy; 0x4buy; 0xfauy; 0xdbuy; 0x34uy; 0x18uy; 0xa2uy; 0xc2uy; 0xe5uy; 0x13uy; 0xfeuy; 0x6cuy; 0x49uy; 0x81uy; 0xd2uy; 0x73uy; 0xe7uy; 0xe2uy; 0xd7uy; 0xe4uy; 0x4fuy; 0x4buy; 0x08uy; 0x6euy; 0xb1uy; 0x12uy; 0x22uy; 0x10uy; 0x9duy; 0xacuy; 0x51uy; 0x1euy; 0x17uy; 0xd9uy; 0x8auy; 0x0buy; 0x42uy; 0x88uy; 0x16uy; 0x81uy; 0x37uy; 0x7cuy; 0x6auy; 0xf7uy; 0xefuy; 0x2duy; 0xe3uy; 0xd9uy; 0xf8uy; 0x5fuy; 0xe0uy; 0x53uy; 0x27uy; 0x74uy; 0xb9uy; 0xe2uy; 0xd6uy; 0x1cuy; 0x80uy; 0x2cuy; 0x52uy; 0x65uy; ] in assert_norm (List.Tot.length l = 513); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input8_len: (x:UInt32.t { UInt32.v x = B.length input8 }) = 513ul let output8: (b: B.buffer UInt8.t { B.length b = 529 /\ B.recallable b }) = [@inline_let] let l = [ 0xfduy; 0x81uy; 0x8duy; 0xd0uy; 0x3duy; 0xb4uy; 0xd5uy; 0xdfuy; 0xd3uy; 0x42uy; 0x47uy; 0x5auy; 0x6duy; 0x19uy; 0x27uy; 0x66uy; 0x4buy; 0x2euy; 0x0cuy; 0x27uy; 0x9cuy; 0x96uy; 0x4cuy; 0x72uy; 0x02uy; 0xa3uy; 0x65uy; 0xc3uy; 0xb3uy; 0x6fuy; 0x2euy; 0xbduy; 0x63uy; 0x8auy; 0x4auy; 0x5duy; 0x29uy; 0xa2uy; 0xd0uy; 0x28uy; 0x48uy; 0xc5uy; 0x3duy; 0x98uy; 0xa3uy; 0xbcuy; 0xe0uy; 0xbeuy; 0x3buy; 0x3fuy; 0xe6uy; 0x8auy; 0xa4uy; 0x7fuy; 0x53uy; 0x06uy; 0xfauy; 0x7fuy; 0x27uy; 0x76uy; 0x72uy; 0x31uy; 0xa1uy; 0xf5uy; 0xd6uy; 0x0cuy; 0x52uy; 0x47uy; 0xbauy; 0xcduy; 0x4fuy; 0xd7uy; 0xebuy; 0x05uy; 0x48uy; 0x0duy; 0x7cuy; 0x35uy; 0x4auy; 0x09uy; 0xc9uy; 0x76uy; 0x71uy; 0x02uy; 0xa3uy; 0xfbuy; 0xb7uy; 0x1auy; 0x65uy; 0xb7uy; 0xeduy; 0x98uy; 0xc6uy; 0x30uy; 0x8auy; 0x00uy; 0xaeuy; 0xa1uy; 0x31uy; 0xe5uy; 0xb5uy; 0x9euy; 0x6duy; 0x62uy; 0xdauy; 0xdauy; 0x07uy; 0x0fuy; 0x38uy; 0x38uy; 0xd3uy; 0xcbuy; 0xc1uy; 0xb0uy; 0xaduy; 0xecuy; 0x72uy; 0xecuy; 0xb1uy; 0xa2uy; 0x7buy; 0x59uy; 0xf3uy; 0x3duy; 0x2buy; 0xefuy; 0xcduy; 0x28uy; 0x5buy; 0x83uy; 0xccuy; 0x18uy; 0x91uy; 0x88uy; 0xb0uy; 0x2euy; 0xf9uy; 0x29uy; 0x31uy; 0x18uy; 0xf9uy; 0x4euy; 0xe9uy; 0x0auy; 0x91uy; 0x92uy; 0x9fuy; 0xaeuy; 0x2duy; 0xaduy; 0xf4uy; 0xe6uy; 0x1auy; 0xe2uy; 0xa4uy; 0xeeuy; 0x47uy; 0x15uy; 0xbfuy; 0x83uy; 0x6euy; 0xd7uy; 0x72uy; 0x12uy; 0x3buy; 0x2duy; 0x24uy; 0xe9uy; 0xb2uy; 0x55uy; 0xcbuy; 0x3cuy; 0x10uy; 0xf0uy; 0x24uy; 0x8auy; 0x4auy; 0x02uy; 0xeauy; 0x90uy; 0x25uy; 0xf0uy; 0xb4uy; 0x79uy; 0x3auy; 0xefuy; 0x6euy; 0xf5uy; 0x52uy; 0xdfuy; 0xb0uy; 0x0auy; 0xcduy; 0x24uy; 0x1cuy; 0xd3uy; 0x2euy; 0x22uy; 0x74uy; 0xeauy; 0x21uy; 0x6fuy; 0xe9uy; 0xbduy; 0xc8uy; 0x3euy; 0x36uy; 0x5buy; 0x19uy; 0xf1uy; 0xcauy; 0x99uy; 0x0auy; 0xb4uy; 0xa7uy; 0x52uy; 0x1auy; 0x4euy; 0xf2uy; 0xaduy; 0x8duy; 0x56uy; 0x85uy; 0xbbuy; 0x64uy; 0x89uy; 0xbauy; 0x26uy; 0xf9uy; 0xc7uy; 0xe1uy; 0x89uy; 0x19uy; 0x22uy; 0x77uy; 0xc3uy; 0xa8uy; 0xfcuy; 0xffuy; 0xaduy; 0xfeuy; 0xb9uy; 0x48uy; 0xaeuy; 0x12uy; 0x30uy; 0x9fuy; 0x19uy; 0xfbuy; 0x1buy; 0xefuy; 0x14uy; 0x87uy; 0x8auy; 0x78uy; 0x71uy; 0xf3uy; 0xf4uy; 0xb7uy; 0x00uy; 0x9cuy; 0x1duy; 0xb5uy; 0x3duy; 0x49uy; 0x00uy; 0x0cuy; 0x06uy; 0xd4uy; 0x50uy; 0xf9uy; 0x54uy; 0x45uy; 0xb2uy; 0x5buy; 0x43uy; 0xdbuy; 0x6duy; 0xcfuy; 0x1auy; 0xe9uy; 0x7auy; 0x7auy; 0xcfuy; 0xfcuy; 0x8auy; 0x4euy; 0x4duy; 0x0buy; 0x07uy; 0x63uy; 0x28uy; 0xd8uy; 0xe7uy; 0x08uy; 0x95uy; 0xdfuy; 0xa6uy; 0x72uy; 0x93uy; 0x2euy; 0xbbuy; 0xa0uy; 0x42uy; 0x89uy; 0x16uy; 0xf1uy; 0xd9uy; 0x0cuy; 0xf9uy; 0xa1uy; 0x16uy; 0xfduy; 0xd9uy; 0x03uy; 0xb4uy; 0x3buy; 0x8auy; 0xf5uy; 0xf6uy; 0xe7uy; 0x6buy; 0x2euy; 0x8euy; 0x4cuy; 0x3duy; 0xe2uy; 0xafuy; 0x08uy; 0x45uy; 0x03uy; 0xffuy; 0x09uy; 0xb6uy; 0xebuy; 0x2duy; 0xc6uy; 0x1buy; 0x88uy; 0x94uy; 0xacuy; 0x3euy; 0xf1uy; 0x9fuy; 0x0euy; 0x0euy; 0x2buy; 0xd5uy; 0x00uy; 0x4duy; 0x3fuy; 0x3buy; 0x53uy; 0xaeuy; 0xafuy; 0x1cuy; 0x33uy; 0x5fuy; 0x55uy; 0x6euy; 0x8duy; 0xafuy; 0x05uy; 0x7auy; 0x10uy; 0x34uy; 0xc9uy; 0xf4uy; 0x66uy; 0xcbuy; 0x62uy; 0x12uy; 0xa6uy; 0xeeuy; 0xe8uy; 0x1cuy; 0x5duy; 0x12uy; 0x86uy; 0xdbuy; 0x6fuy; 0x1cuy; 0x33uy; 0xc4uy; 0x1cuy; 0xdauy; 0x82uy; 0x2duy; 0x3buy; 0x59uy; 0xfeuy; 0xb1uy; 0xa4uy; 0x59uy; 0x41uy; 0x86uy; 0xd0uy; 0xefuy; 0xaeuy; 0xfbuy; 0xdauy; 0x6duy; 0x11uy; 0xb8uy; 0xcauy; 0xe9uy; 0x6euy; 0xffuy; 0xf7uy; 0xa9uy; 0xd9uy; 0x70uy; 0x30uy; 0xfcuy; 0x53uy; 0xe2uy; 0xd7uy; 0xa2uy; 0x4euy; 0xc7uy; 0x91uy; 0xd9uy; 0x07uy; 0x06uy; 0xaauy; 0xdduy; 0xb0uy; 0x59uy; 0x28uy; 0x1duy; 0x00uy; 0x66uy; 0xc5uy; 0x54uy; 0xc2uy; 0xfcuy; 0x06uy; 0xdauy; 0x05uy; 0x90uy; 0x52uy; 0x1duy; 0x37uy; 0x66uy; 0xeeuy; 0xf0uy; 0xb2uy; 0x55uy; 0x8auy; 0x5duy; 0xd2uy; 0x38uy; 0x86uy; 0x94uy; 0x9buy; 0xfcuy; 0x10uy; 0x4cuy; 0xa1uy; 0xb9uy; 0x64uy; 0x3euy; 0x44uy; 0xb8uy; 0x5fuy; 0xb0uy; 0x0cuy; 0xecuy; 0xe0uy; 0xc9uy; 0xe5uy; 0x62uy; 0x75uy; 0x3fuy; 0x09uy; 0xd5uy; 0xf5uy; 0xd9uy; 0x26uy; 0xbauy; 0x9euy; 0xd2uy; 0xf4uy; 0xb9uy; 0x48uy; 0x0auy; 0xbcuy; 0xa2uy; 0xd6uy; 0x7cuy; 0x36uy; 0x11uy; 0x7duy; 0x26uy; 0x81uy; 0x89uy; 0xcfuy; 0xa4uy; 0xaduy; 0x73uy; 0x0euy; 0xeeuy; 0xccuy; 0x06uy; 0xa9uy; 0xdbuy; 0xb1uy; 0xfduy; 0xfbuy; 0x09uy; 0x7fuy; 0x90uy; 0x42uy; 0x37uy; 0x2fuy; 0xe1uy; 0x9cuy; 0x0fuy; 0x6fuy; 0xcfuy; 0x43uy; 0xb5uy; 0xd9uy; 0x90uy; 0xe1uy; 0x85uy; 0xf5uy; 0xa8uy; 0xaeuy; ] in assert_norm (List.Tot.length l = 529); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output8_len: (x:UInt32.t { UInt32.v x = B.length output8 }) = 529ul let key9: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x47uy; 0x11uy; 0xebuy; 0x86uy; 0x2buy; 0x2cuy; 0xabuy; 0x44uy; 0x34uy; 0xdauy; 0x7fuy; 0x57uy; 0x03uy; 0x39uy; 0x0cuy; 0xafuy; 0x2cuy; 0x14uy; 0xfduy; 0x65uy; 0x23uy; 0xe9uy; 0x8euy; 0x74uy; 0xd5uy; 0x08uy; 0x68uy; 0x08uy; 0xe7uy; 0xb4uy; 0x72uy; 0xd7uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key9_len: (x:UInt32.t { UInt32.v x = B.length key9 }) = 32ul let nonce9: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdbuy; 0x92uy; 0x0fuy; 0x7fuy; 0x17uy; 0x54uy; 0x0cuy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce9_len: (x:UInt32.t { UInt32.v x = B.length nonce9 }) = 12ul let aad9: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xd2uy; 0xa1uy; 0x70uy; 0xdbuy; 0x7auy; 0xf8uy; 0xfauy; 0x27uy; 0xbauy; 0x73uy; 0x0fuy; 0xbfuy; 0x3duy; 0x1euy; 0x82uy; 0xb2uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad9_len: (x:UInt32.t { UInt32.v x = B.length aad9 }) = 16ul let input9: (b: B.buffer UInt8.t { B.length b = 1024 /\ B.recallable b /\ B.disjoint b aad9 }) = B.recall aad9;[@inline_let] let l = [ 0x42uy; 0x93uy; 0xe4uy; 0xebuy; 0x97uy; 0xb0uy; 0x57uy; 0xbfuy; 0x1auy; 0x8buy; 0x1fuy; 0xe4uy; 0x5fuy; 0x36uy; 0x20uy; 0x3cuy; 0xefuy; 0x0auy; 0xa9uy; 0x48uy; 0x5fuy; 0x5fuy; 0x37uy; 0x22uy; 0x3auy; 0xdeuy; 0xe3uy; 0xaeuy; 0xbeuy; 0xaduy; 0x07uy; 0xccuy; 0xb1uy; 0xf6uy; 0xf5uy; 0xf9uy; 0x56uy; 0xdduy; 0xe7uy; 0x16uy; 0x1euy; 0x7fuy; 0xdfuy; 0x7auy; 0x9euy; 0x75uy; 0xb7uy; 0xc7uy; 0xbeuy; 0xbeuy; 0x8auy; 0x36uy; 0x04uy; 0xc0uy; 0x10uy; 0xf4uy; 0x95uy; 0x20uy; 0x03uy; 0xecuy; 0xdcuy; 0x05uy; 0xa1uy; 0x7duy; 0xc4uy; 0xa9uy; 0x2cuy; 0x82uy; 0xd0uy; 0xbcuy; 0x8buy; 0xc5uy; 0xc7uy; 0x45uy; 0x50uy; 0xf6uy; 0xa2uy; 0x1auy; 0xb5uy; 0x46uy; 0x3buy; 0x73uy; 0x02uy; 0xa6uy; 0x83uy; 0x4buy; 0x73uy; 0x82uy; 0x58uy; 0x5euy; 0x3buy; 0x65uy; 0x2fuy; 0x0euy; 0xfduy; 0x2buy; 0x59uy; 0x16uy; 0xceuy; 0xa1uy; 0x60uy; 0x9cuy; 0xe8uy; 0x3auy; 0x99uy; 0xeduy; 0x8duy; 0x5auy; 0xcfuy; 0xf6uy; 0x83uy; 0xafuy; 0xbauy; 0xd7uy; 0x73uy; 0x73uy; 0x40uy; 0x97uy; 0x3duy; 0xcauy; 0xefuy; 0x07uy; 0x57uy; 0xe6uy; 0xd9uy; 0x70uy; 0x0euy; 0x95uy; 0xaeuy; 0xa6uy; 0x8duy; 0x04uy; 0xccuy; 0xeeuy; 0xf7uy; 0x09uy; 0x31uy; 0x77uy; 0x12uy; 0xa3uy; 0x23uy; 0x97uy; 0x62uy; 0xb3uy; 0x7buy; 0x32uy; 0xfbuy; 0x80uy; 0x14uy; 0x48uy; 0x81uy; 0xc3uy; 0xe5uy; 0xeauy; 0x91uy; 0x39uy; 0x52uy; 0x81uy; 0xa2uy; 0x4fuy; 0xe4uy; 0xb3uy; 0x09uy; 0xffuy; 0xdeuy; 0x5euy; 0xe9uy; 0x58uy; 0x84uy; 0x6euy; 0xf9uy; 0x3duy; 0xdfuy; 0x25uy; 0xeauy; 0xaduy; 0xaeuy; 0xe6uy; 0x9auy; 0xd1uy; 0x89uy; 0x55uy; 0xd3uy; 0xdeuy; 0x6cuy; 0x52uy; 0xdbuy; 0x70uy; 0xfeuy; 0x37uy; 0xceuy; 0x44uy; 0x0auy; 0xa8uy; 0x25uy; 0x5fuy; 0x92uy; 0xc1uy; 0x33uy; 0x4auy; 0x4fuy; 0x9buy; 0x62uy; 0x35uy; 0xffuy; 0xceuy; 0xc0uy; 0xa9uy; 0x60uy; 0xceuy; 0x52uy; 0x00uy; 0x97uy; 0x51uy; 0x35uy; 0x26uy; 0x2euy; 0xb9uy; 0x36uy; 0xa9uy; 0x87uy; 0x6euy; 0x1euy; 0xccuy; 0x91uy; 0x78uy; 0x53uy; 0x98uy; 0x86uy; 0x5buy; 0x9cuy; 0x74uy; 0x7duy; 0x88uy; 0x33uy; 0xe1uy; 0xdfuy; 0x37uy; 0x69uy; 0x2buy; 0xbbuy; 0xf1uy; 0x4duy; 0xf4uy; 0xd1uy; 0xf1uy; 0x39uy; 0x93uy; 0x17uy; 0x51uy; 0x19uy; 0xe3uy; 0x19uy; 0x1euy; 0x76uy; 0x37uy; 0x25uy; 0xfbuy; 0x09uy; 0x27uy; 0x6auy; 0xabuy; 0x67uy; 0x6fuy; 0x14uy; 0x12uy; 0x64uy; 0xe7uy; 0xc4uy; 0x07uy; 0xdfuy; 0x4duy; 0x17uy; 0xbbuy; 0x6duy; 0xe0uy; 0xe9uy; 0xb9uy; 0xabuy; 0xcauy; 0x10uy; 0x68uy; 0xafuy; 0x7euy; 0xb7uy; 0x33uy; 0x54uy; 0x73uy; 0x07uy; 0x6euy; 0xf7uy; 0x81uy; 0x97uy; 0x9cuy; 0x05uy; 0x6fuy; 0x84uy; 0x5fuy; 0xd2uy; 0x42uy; 0xfbuy; 0x38uy; 0xcfuy; 0xd1uy; 0x2fuy; 0x14uy; 0x30uy; 0x88uy; 0x98uy; 0x4duy; 0x5auy; 0xa9uy; 0x76uy; 0xd5uy; 0x4fuy; 0x3euy; 0x70uy; 0x6cuy; 0x85uy; 0x76uy; 0xd7uy; 0x01uy; 0xa0uy; 0x1auy; 0xc8uy; 0x4euy; 0xaauy; 0xacuy; 0x78uy; 0xfeuy; 0x46uy; 0xdeuy; 0x6auy; 0x05uy; 0x46uy; 0xa7uy; 0x43uy; 0x0cuy; 0xb9uy; 0xdeuy; 0xb9uy; 0x68uy; 0xfbuy; 0xceuy; 0x42uy; 0x99uy; 0x07uy; 0x4duy; 0x0buy; 0x3buy; 0x5auy; 0x30uy; 0x35uy; 0xa8uy; 0xf9uy; 0x3auy; 0x73uy; 0xefuy; 0x0fuy; 0xdbuy; 0x1euy; 0x16uy; 0x42uy; 0xc4uy; 0xbauy; 0xaeuy; 0x58uy; 0xaauy; 0xf8uy; 0xe5uy; 0x75uy; 0x2fuy; 0x1buy; 0x15uy; 0x5cuy; 0xfduy; 0x0auy; 0x97uy; 0xd0uy; 0xe4uy; 0x37uy; 0x83uy; 0x61uy; 0x5fuy; 0x43uy; 0xa6uy; 0xc7uy; 0x3fuy; 0x38uy; 0x59uy; 0xe6uy; 0xebuy; 0xa3uy; 0x90uy; 0xc3uy; 0xaauy; 0xaauy; 0x5auy; 0xd3uy; 0x34uy; 0xd4uy; 0x17uy; 0xc8uy; 0x65uy; 0x3euy; 0x57uy; 0xbcuy; 0x5euy; 0xdduy; 0x9euy; 0xb7uy; 0xf0uy; 0x2euy; 0x5buy; 0xb2uy; 0x1fuy; 0x8auy; 0x08uy; 0x0duy; 0x45uy; 0x91uy; 0x0buy; 0x29uy; 0x53uy; 0x4fuy; 0x4cuy; 0x5auy; 0x73uy; 0x56uy; 0xfeuy; 0xafuy; 0x41uy; 0x01uy; 0x39uy; 0x0auy; 0x24uy; 0x3cuy; 0x7euy; 0xbeuy; 0x4euy; 0x53uy; 0xf3uy; 0xebuy; 0x06uy; 0x66uy; 0x51uy; 0x28uy; 0x1duy; 0xbduy; 0x41uy; 0x0auy; 0x01uy; 0xabuy; 0x16uy; 0x47uy; 0x27uy; 0x47uy; 0x47uy; 0xf7uy; 0xcbuy; 0x46uy; 0x0auy; 0x70uy; 0x9euy; 0x01uy; 0x9cuy; 0x09uy; 0xe1uy; 0x2auy; 0x00uy; 0x1auy; 0xd8uy; 0xd4uy; 0x79uy; 0x9duy; 0x80uy; 0x15uy; 0x8euy; 0x53uy; 0x2auy; 0x65uy; 0x83uy; 0x78uy; 0x3euy; 0x03uy; 0x00uy; 0x07uy; 0x12uy; 0x1fuy; 0x33uy; 0x3euy; 0x7buy; 0x13uy; 0x37uy; 0xf1uy; 0xc3uy; 0xefuy; 0xb7uy; 0xc1uy; 0x20uy; 0x3cuy; 0x3euy; 0x67uy; 0x66uy; 0x5duy; 0x88uy; 0xa7uy; 0x7duy; 0x33uy; 0x50uy; 0x77uy; 0xb0uy; 0x28uy; 0x8euy; 0xe7uy; 0x2cuy; 0x2euy; 0x7auy; 0xf4uy; 0x3cuy; 0x8duy; 0x74uy; 0x83uy; 0xafuy; 0x8euy; 0x87uy; 0x0fuy; 0xe4uy; 0x50uy; 0xffuy; 0x84uy; 0x5cuy; 0x47uy; 0x0cuy; 0x6auy; 0x49uy; 0xbfuy; 0x42uy; 0x86uy; 0x77uy; 0x15uy; 0x48uy; 0xa5uy; 0x90uy; 0x5duy; 0x93uy; 0xd6uy; 0x2auy; 0x11uy; 0xd5uy; 0xd5uy; 0x11uy; 0xaauy; 0xceuy; 0xe7uy; 0x6fuy; 0xa5uy; 0xb0uy; 0x09uy; 0x2cuy; 0x8duy; 0xd3uy; 0x92uy; 0xf0uy; 0x5auy; 0x2auy; 0xdauy; 0x5buy; 0x1euy; 0xd5uy; 0x9auy; 0xc4uy; 0xc4uy; 0xf3uy; 0x49uy; 0x74uy; 0x41uy; 0xcauy; 0xe8uy; 0xc1uy; 0xf8uy; 0x44uy; 0xd6uy; 0x3cuy; 0xaeuy; 0x6cuy; 0x1duy; 0x9auy; 0x30uy; 0x04uy; 0x4duy; 0x27uy; 0x0euy; 0xb1uy; 0x5fuy; 0x59uy; 0xa2uy; 0x24uy; 0xe8uy; 0xe1uy; 0x98uy; 0xc5uy; 0x6auy; 0x4cuy; 0xfeuy; 0x41uy; 0xd2uy; 0x27uy; 0x42uy; 0x52uy; 0xe1uy; 0xe9uy; 0x7duy; 0x62uy; 0xe4uy; 0x88uy; 0x0fuy; 0xaduy; 0xb2uy; 0x70uy; 0xcbuy; 0x9duy; 0x4cuy; 0x27uy; 0x2euy; 0x76uy; 0x1euy; 0x1auy; 0x63uy; 0x65uy; 0xf5uy; 0x3buy; 0xf8uy; 0x57uy; 0x69uy; 0xebuy; 0x5buy; 0x38uy; 0x26uy; 0x39uy; 0x33uy; 0x25uy; 0x45uy; 0x3euy; 0x91uy; 0xb8uy; 0xd8uy; 0xc7uy; 0xd5uy; 0x42uy; 0xc0uy; 0x22uy; 0x31uy; 0x74uy; 0xf4uy; 0xbcuy; 0x0cuy; 0x23uy; 0xf1uy; 0xcauy; 0xc1uy; 0x8duy; 0xd7uy; 0xbeuy; 0xc9uy; 0x62uy; 0xe4uy; 0x08uy; 0x1auy; 0xcfuy; 0x36uy; 0xd5uy; 0xfeuy; 0x55uy; 0x21uy; 0x59uy; 0x91uy; 0x87uy; 0x87uy; 0xdfuy; 0x06uy; 0xdbuy; 0xdfuy; 0x96uy; 0x45uy; 0x58uy; 0xdauy; 0x05uy; 0xcduy; 0x50uy; 0x4duy; 0xd2uy; 0x7duy; 0x05uy; 0x18uy; 0x73uy; 0x6auy; 0x8duy; 0x11uy; 0x85uy; 0xa6uy; 0x88uy; 0xe8uy; 0xdauy; 0xe6uy; 0x30uy; 0x33uy; 0xa4uy; 0x89uy; 0x31uy; 0x75uy; 0xbeuy; 0x69uy; 0x43uy; 0x84uy; 0x43uy; 0x50uy; 0x87uy; 0xdduy; 0x71uy; 0x36uy; 0x83uy; 0xc3uy; 0x78uy; 0x74uy; 0x24uy; 0x0auy; 0xeduy; 0x7buy; 0xdbuy; 0xa4uy; 0x24uy; 0x0buy; 0xb9uy; 0x7euy; 0x5duy; 0xffuy; 0xdeuy; 0xb1uy; 0xefuy; 0x61uy; 0x5auy; 0x45uy; 0x33uy; 0xf6uy; 0x17uy; 0x07uy; 0x08uy; 0x98uy; 0x83uy; 0x92uy; 0x0fuy; 0x23uy; 0x6duy; 0xe6uy; 0xaauy; 0x17uy; 0x54uy; 0xaduy; 0x6auy; 0xc8uy; 0xdbuy; 0x26uy; 0xbeuy; 0xb8uy; 0xb6uy; 0x08uy; 0xfauy; 0x68uy; 0xf1uy; 0xd7uy; 0x79uy; 0x6fuy; 0x18uy; 0xb4uy; 0x9euy; 0x2duy; 0x3fuy; 0x1buy; 0x64uy; 0xafuy; 0x8duy; 0x06uy; 0x0euy; 0x49uy; 0x28uy; 0xe0uy; 0x5duy; 0x45uy; 0x68uy; 0x13uy; 0x87uy; 0xfauy; 0xdeuy; 0x40uy; 0x7buy; 0xd2uy; 0xc3uy; 0x94uy; 0xd5uy; 0xe1uy; 0xd9uy; 0xc2uy; 0xafuy; 0x55uy; 0x89uy; 0xebuy; 0xb4uy; 0x12uy; 0x59uy; 0xa8uy; 0xd4uy; 0xc5uy; 0x29uy; 0x66uy; 0x38uy; 0xe6uy; 0xacuy; 0x22uy; 0x22uy; 0xd9uy; 0x64uy; 0x9buy; 0x34uy; 0x0auy; 0x32uy; 0x9fuy; 0xc2uy; 0xbfuy; 0x17uy; 0x6cuy; 0x3fuy; 0x71uy; 0x7auy; 0x38uy; 0x6buy; 0x98uy; 0xfbuy; 0x49uy; 0x36uy; 0x89uy; 0xc9uy; 0xe2uy; 0xd6uy; 0xc7uy; 0x5duy; 0xd0uy; 0x69uy; 0x5fuy; 0x23uy; 0x35uy; 0xc9uy; 0x30uy; 0xe2uy; 0xfduy; 0x44uy; 0x58uy; 0x39uy; 0xd7uy; 0x97uy; 0xfbuy; 0x5cuy; 0x00uy; 0xd5uy; 0x4fuy; 0x7auy; 0x1auy; 0x95uy; 0x8buy; 0x62uy; 0x4buy; 0xceuy; 0xe5uy; 0x91uy; 0x21uy; 0x7buy; 0x30uy; 0x00uy; 0xd6uy; 0xdduy; 0x6duy; 0x02uy; 0x86uy; 0x49uy; 0x0fuy; 0x3cuy; 0x1auy; 0x27uy; 0x3cuy; 0xd3uy; 0x0euy; 0x71uy; 0xf2uy; 0xffuy; 0xf5uy; 0x2fuy; 0x87uy; 0xacuy; 0x67uy; 0x59uy; 0x81uy; 0xa3uy; 0xf7uy; 0xf8uy; 0xd6uy; 0x11uy; 0x0cuy; 0x84uy; 0xa9uy; 0x03uy; 0xeeuy; 0x2auy; 0xc4uy; 0xf3uy; 0x22uy; 0xabuy; 0x7cuy; 0xe2uy; 0x25uy; 0xf5uy; 0x67uy; 0xa3uy; 0xe4uy; 0x11uy; 0xe0uy; 0x59uy; 0xb3uy; 0xcauy; 0x87uy; 0xa0uy; 0xaeuy; 0xc9uy; 0xa6uy; 0x62uy; 0x1buy; 0x6euy; 0x4duy; 0x02uy; 0x6buy; 0x07uy; 0x9duy; 0xfduy; 0xd0uy; 0x92uy; 0x06uy; 0xe1uy; 0xb2uy; 0x9auy; 0x4auy; 0x1fuy; 0x1fuy; 0x13uy; 0x49uy; 0x99uy; 0x97uy; 0x08uy; 0xdeuy; 0x7fuy; 0x98uy; 0xafuy; 0x51uy; 0x98uy; 0xeeuy; 0x2cuy; 0xcbuy; 0xf0uy; 0x0buy; 0xc6uy; 0xb6uy; 0xb7uy; 0x2duy; 0x9auy; 0xb1uy; 0xacuy; 0xa6uy; 0xe3uy; 0x15uy; 0x77uy; 0x9duy; 0x6buy; 0x1auy; 0xe4uy; 0xfcuy; 0x8buy; 0xf2uy; 0x17uy; 0x59uy; 0x08uy; 0x04uy; 0x58uy; 0x81uy; 0x9duy; 0x1buy; 0x1buy; 0x69uy; 0x55uy; 0xc2uy; 0xb4uy; 0x3cuy; 0x1fuy; 0x50uy; 0xf1uy; 0x7fuy; 0x77uy; 0x90uy; 0x4cuy; 0x66uy; 0x40uy; 0x5auy; 0xc0uy; 0x33uy; 0x1fuy; 0xcbuy; 0x05uy; 0x6duy; 0x5cuy; 0x06uy; 0x87uy; 0x52uy; 0xa2uy; 0x8fuy; 0x26uy; 0xd5uy; 0x4fuy; ] in assert_norm (List.Tot.length l = 1024); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input9_len: (x:UInt32.t { UInt32.v x = B.length input9 }) = 1024ul let output9: (b: B.buffer UInt8.t { B.length b = 1040 /\ B.recallable b }) = [@inline_let] let l = [ 0xe5uy; 0x26uy; 0xa4uy; 0x3duy; 0xbduy; 0x33uy; 0xd0uy; 0x4buy; 0x6fuy; 0x05uy; 0xa7uy; 0x6euy; 0x12uy; 0x7auy; 0xd2uy; 0x74uy; 0xa6uy; 0xdduy; 0xbduy; 0x95uy; 0xebuy; 0xf9uy; 0xa4uy; 0xf1uy; 0x59uy; 0x93uy; 0x91uy; 0x70uy; 0xd9uy; 0xfeuy; 0x9auy; 0xcduy; 0x53uy; 0x1fuy; 0x3auy; 0xabuy; 0xa6uy; 0x7cuy; 0x9fuy; 0xa6uy; 0x9euy; 0xbduy; 0x99uy; 0xd9uy; 0xb5uy; 0x97uy; 0x44uy; 0xd5uy; 0x14uy; 0x48uy; 0x4duy; 0x9duy; 0xc0uy; 0xd0uy; 0x05uy; 0x96uy; 0xebuy; 0x4cuy; 0x78uy; 0x55uy; 0x09uy; 0x08uy; 0x01uy; 0x02uy; 0x30uy; 0x90uy; 0x7buy; 0x96uy; 0x7auy; 0x7buy; 0x5fuy; 0x30uy; 0x41uy; 0x24uy; 0xceuy; 0x68uy; 0x61uy; 0x49uy; 0x86uy; 0x57uy; 0x82uy; 0xdduy; 0x53uy; 0x1cuy; 0x51uy; 0x28uy; 0x2buy; 0x53uy; 0x6euy; 0x2duy; 0xc2uy; 0x20uy; 0x4cuy; 0xdduy; 0x8fuy; 0x65uy; 0x10uy; 0x20uy; 0x50uy; 0xdduy; 0x9duy; 0x50uy; 0xe5uy; 0x71uy; 0x40uy; 0x53uy; 0x69uy; 0xfcuy; 0x77uy; 0x48uy; 0x11uy; 0xb9uy; 0xdeuy; 0xa4uy; 0x8duy; 0x58uy; 0xe4uy; 0xa6uy; 0x1auy; 0x18uy; 0x47uy; 0x81uy; 0x7euy; 0xfcuy; 0xdduy; 0xf6uy; 0xefuy; 0xceuy; 0x2fuy; 0x43uy; 0x68uy; 0xd6uy; 0x06uy; 0xe2uy; 0x74uy; 0x6auy; 0xaduy; 0x90uy; 0xf5uy; 0x37uy; 0xf3uy; 0x3duy; 0x82uy; 0x69uy; 0x40uy; 0xe9uy; 0x6buy; 0xa7uy; 0x3duy; 0xa8uy; 0x1euy; 0xd2uy; 0x02uy; 0x7cuy; 0xb7uy; 0x9buy; 0xe4uy; 0xdauy; 0x8fuy; 0x95uy; 0x06uy; 0xc5uy; 0xdfuy; 0x73uy; 0xa3uy; 0x20uy; 0x9auy; 0x49uy; 0xdeuy; 0x9cuy; 0xbcuy; 0xeeuy; 0x14uy; 0x3fuy; 0x81uy; 0x5euy; 0xf8uy; 0x3buy; 0x59uy; 0x3cuy; 0xe1uy; 0x68uy; 0x12uy; 0x5auy; 0x3auy; 0x76uy; 0x3auy; 0x3fuy; 0xf7uy; 0x87uy; 0x33uy; 0x0auy; 0x01uy; 0xb8uy; 0xd4uy; 0xeduy; 0xb6uy; 0xbeuy; 0x94uy; 0x5euy; 0x70uy; 0x40uy; 0x56uy; 0x67uy; 0x1fuy; 0x50uy; 0x44uy; 0x19uy; 0xceuy; 0x82uy; 0x70uy; 0x10uy; 0x87uy; 0x13uy; 0x20uy; 0x0buy; 0x4cuy; 0x5auy; 0xb6uy; 0xf6uy; 0xa7uy; 0xaeuy; 0x81uy; 0x75uy; 0x01uy; 0x81uy; 0xe6uy; 0x4buy; 0x57uy; 0x7cuy; 0xdduy; 0x6duy; 0xf8uy; 0x1cuy; 0x29uy; 0x32uy; 0xf7uy; 0xdauy; 0x3cuy; 0x2duy; 0xf8uy; 0x9buy; 0x25uy; 0x6euy; 0x00uy; 0xb4uy; 0xf7uy; 0x2fuy; 0xf7uy; 0x04uy; 0xf7uy; 0xa1uy; 0x56uy; 0xacuy; 0x4fuy; 0x1auy; 0x64uy; 0xb8uy; 0x47uy; 0x55uy; 0x18uy; 0x7buy; 0x07uy; 0x4duy; 0xbduy; 0x47uy; 0x24uy; 0x80uy; 0x5duy; 0xa2uy; 0x70uy; 0xc5uy; 0xdduy; 0x8euy; 0x82uy; 0xd4uy; 0xebuy; 0xecuy; 0xb2uy; 0x0cuy; 0x39uy; 0xd2uy; 0x97uy; 0xc1uy; 0xcbuy; 0xebuy; 0xf4uy; 0x77uy; 0x59uy; 0xb4uy; 0x87uy; 0xefuy; 0xcbuy; 0x43uy; 0x2duy; 0x46uy; 0x54uy; 0xd1uy; 0xa7uy; 0xd7uy; 0x15uy; 0x99uy; 0x0auy; 0x43uy; 0xa1uy; 0xe0uy; 0x99uy; 0x33uy; 0x71uy; 0xc1uy; 0xeduy; 0xfeuy; 0x72uy; 0x46uy; 0x33uy; 0x8euy; 0x91uy; 0x08uy; 0x9fuy; 0xc8uy; 0x2euy; 0xcauy; 0xfauy; 0xdcuy; 0x59uy; 0xd5uy; 0xc3uy; 0x76uy; 0x84uy; 0x9fuy; 0xa3uy; 0x37uy; 0x68uy; 0xc3uy; 0xf0uy; 0x47uy; 0x2cuy; 0x68uy; 0xdbuy; 0x5euy; 0xc3uy; 0x49uy; 0x4cuy; 0xe8uy; 0x92uy; 0x85uy; 0xe2uy; 0x23uy; 0xd3uy; 0x3fuy; 0xaduy; 0x32uy; 0xe5uy; 0x2buy; 0x82uy; 0xd7uy; 0x8fuy; 0x99uy; 0x0auy; 0x59uy; 0x5cuy; 0x45uy; 0xd9uy; 0xb4uy; 0x51uy; 0x52uy; 0xc2uy; 0xaeuy; 0xbfuy; 0x80uy; 0xcfuy; 0xc9uy; 0xc9uy; 0x51uy; 0x24uy; 0x2auy; 0x3buy; 0x3auy; 0x4duy; 0xaeuy; 0xebuy; 0xbduy; 0x22uy; 0xc3uy; 0x0euy; 0x0fuy; 0x59uy; 0x25uy; 0x92uy; 0x17uy; 0xe9uy; 0x74uy; 0xc7uy; 0x8buy; 0x70uy; 0x70uy; 0x36uy; 0x55uy; 0x95uy; 0x75uy; 0x4buy; 0xaduy; 0x61uy; 0x2buy; 0x09uy; 0xbcuy; 0x82uy; 0xf2uy; 0x6euy; 0x94uy; 0x43uy; 0xaeuy; 0xc3uy; 0xd5uy; 0xcduy; 0x8euy; 0xfeuy; 0x5buy; 0x9auy; 0x88uy; 0x43uy; 0x01uy; 0x75uy; 0xb2uy; 0x23uy; 0x09uy; 0xf7uy; 0x89uy; 0x83uy; 0xe7uy; 0xfauy; 0xf9uy; 0xb4uy; 0x9buy; 0xf8uy; 0xefuy; 0xbduy; 0x1cuy; 0x92uy; 0xc1uy; 0xdauy; 0x7euy; 0xfeuy; 0x05uy; 0xbauy; 0x5auy; 0xcduy; 0x07uy; 0x6auy; 0x78uy; 0x9euy; 0x5duy; 0xfbuy; 0x11uy; 0x2fuy; 0x79uy; 0x38uy; 0xb6uy; 0xc2uy; 0x5buy; 0x6buy; 0x51uy; 0xb4uy; 0x71uy; 0xdduy; 0xf7uy; 0x2auy; 0xe4uy; 0xf4uy; 0x72uy; 0x76uy; 0xaduy; 0xc2uy; 0xdduy; 0x64uy; 0x5duy; 0x79uy; 0xb6uy; 0xf5uy; 0x7auy; 0x77uy; 0x20uy; 0x05uy; 0x3duy; 0x30uy; 0x06uy; 0xd4uy; 0x4cuy; 0x0auy; 0x2cuy; 0x98uy; 0x5auy; 0xb9uy; 0xd4uy; 0x98uy; 0xa9uy; 0x3fuy; 0xc6uy; 0x12uy; 0xeauy; 0x3buy; 0x4buy; 0xc5uy; 0x79uy; 0x64uy; 0x63uy; 0x6buy; 0x09uy; 0x54uy; 0x3buy; 0x14uy; 0x27uy; 0xbauy; 0x99uy; 0x80uy; 0xc8uy; 0x72uy; 0xa8uy; 0x12uy; 0x90uy; 0x29uy; 0xbauy; 0x40uy; 0x54uy; 0x97uy; 0x2buy; 0x7buy; 0xfeuy; 0xebuy; 0xcduy; 0x01uy; 0x05uy; 0x44uy; 0x72uy; 0xdbuy; 0x99uy; 0xe4uy; 0x61uy; 0xc9uy; 0x69uy; 0xd6uy; 0xb9uy; 0x28uy; 0xd1uy; 0x05uy; 0x3euy; 0xf9uy; 0x0buy; 0x49uy; 0x0auy; 0x49uy; 0xe9uy; 0x8duy; 0x0euy; 0xa7uy; 0x4auy; 0x0fuy; 0xafuy; 0x32uy; 0xd0uy; 0xe0uy; 0xb2uy; 0x3auy; 0x55uy; 0x58uy; 0xfeuy; 0x5cuy; 0x28uy; 0x70uy; 0x51uy; 0x23uy; 0xb0uy; 0x7buy; 0x6auy; 0x5fuy; 0x1euy; 0xb8uy; 0x17uy; 0xd7uy; 0x94uy; 0x15uy; 0x8fuy; 0xeeuy; 0x20uy; 0xc7uy; 0x42uy; 0x25uy; 0x3euy; 0x9auy; 0x14uy; 0xd7uy; 0x60uy; 0x72uy; 0x39uy; 0x47uy; 0x48uy; 0xa9uy; 0xfeuy; 0xdduy; 0x47uy; 0x0auy; 0xb1uy; 0xe6uy; 0x60uy; 0x28uy; 0x8cuy; 0x11uy; 0x68uy; 0xe1uy; 0xffuy; 0xd7uy; 0xceuy; 0xc8uy; 0xbeuy; 0xb3uy; 0xfeuy; 0x27uy; 0x30uy; 0x09uy; 0x70uy; 0xd7uy; 0xfauy; 0x02uy; 0x33uy; 0x3auy; 0x61uy; 0x2euy; 0xc7uy; 0xffuy; 0xa4uy; 0x2auy; 0xa8uy; 0x6euy; 0xb4uy; 0x79uy; 0x35uy; 0x6duy; 0x4cuy; 0x1euy; 0x38uy; 0xf8uy; 0xeeuy; 0xd4uy; 0x84uy; 0x4euy; 0x6euy; 0x28uy; 0xa7uy; 0xceuy; 0xc8uy; 0xc1uy; 0xcfuy; 0x80uy; 0x05uy; 0xf3uy; 0x04uy; 0xefuy; 0xc8uy; 0x18uy; 0x28uy; 0x2euy; 0x8duy; 0x5euy; 0x0cuy; 0xdfuy; 0xb8uy; 0x5fuy; 0x96uy; 0xe8uy; 0xc6uy; 0x9cuy; 0x2fuy; 0xe5uy; 0xa6uy; 0x44uy; 0xd7uy; 0xe7uy; 0x99uy; 0x44uy; 0x0cuy; 0xecuy; 0xd7uy; 0x05uy; 0x60uy; 0x97uy; 0xbbuy; 0x74uy; 0x77uy; 0x58uy; 0xd5uy; 0xbbuy; 0x48uy; 0xdeuy; 0x5auy; 0xb2uy; 0x54uy; 0x7fuy; 0x0euy; 0x46uy; 0x70uy; 0x6auy; 0x6fuy; 0x78uy; 0xa5uy; 0x08uy; 0x89uy; 0x05uy; 0x4euy; 0x7euy; 0xa0uy; 0x69uy; 0xb4uy; 0x40uy; 0x60uy; 0x55uy; 0x77uy; 0x75uy; 0x9buy; 0x19uy; 0xf2uy; 0xd5uy; 0x13uy; 0x80uy; 0x77uy; 0xf9uy; 0x4buy; 0x3fuy; 0x1euy; 0xeeuy; 0xe6uy; 0x76uy; 0x84uy; 0x7buy; 0x8cuy; 0xe5uy; 0x27uy; 0xa8uy; 0x0auy; 0x91uy; 0x01uy; 0x68uy; 0x71uy; 0x8auy; 0x3fuy; 0x06uy; 0xabuy; 0xf6uy; 0xa9uy; 0xa5uy; 0xe6uy; 0x72uy; 0x92uy; 0xe4uy; 0x67uy; 0xe2uy; 0xa2uy; 0x46uy; 0x35uy; 0x84uy; 0x55uy; 0x7duy; 0xcauy; 0xa8uy; 0x85uy; 0xd0uy; 0xf1uy; 0x3fuy; 0xbeuy; 0xd7uy; 0x34uy; 0x64uy; 0xfcuy; 0xaeuy; 0xe3uy; 0xe4uy; 0x04uy; 0x9fuy; 0x66uy; 0x02uy; 0xb9uy; 0x88uy; 0x10uy; 0xd9uy; 0xc4uy; 0x4cuy; 0x31uy; 0x43uy; 0x7auy; 0x93uy; 0xe2uy; 0x9buy; 0x56uy; 0x43uy; 0x84uy; 0xdcuy; 0xdcuy; 0xdeuy; 0x1duy; 0xa4uy; 0x02uy; 0x0euy; 0xc2uy; 0xefuy; 0xc3uy; 0xf8uy; 0x78uy; 0xd1uy; 0xb2uy; 0x6buy; 0x63uy; 0x18uy; 0xc9uy; 0xa9uy; 0xe5uy; 0x72uy; 0xd8uy; 0xf3uy; 0xb9uy; 0xd1uy; 0x8auy; 0xc7uy; 0x1auy; 0x02uy; 0x27uy; 0x20uy; 0x77uy; 0x10uy; 0xe5uy; 0xc8uy; 0xd4uy; 0x4auy; 0x47uy; 0xe5uy; 0xdfuy; 0x5fuy; 0x01uy; 0xaauy; 0xb0uy; 0xd4uy; 0x10uy; 0xbbuy; 0x69uy; 0xe3uy; 0x36uy; 0xc8uy; 0xe1uy; 0x3duy; 0x43uy; 0xfbuy; 0x86uy; 0xcduy; 0xccuy; 0xbfuy; 0xf4uy; 0x88uy; 0xe0uy; 0x20uy; 0xcauy; 0xb7uy; 0x1buy; 0xf1uy; 0x2fuy; 0x5cuy; 0xeeuy; 0xd4uy; 0xd3uy; 0xa3uy; 0xccuy; 0xa4uy; 0x1euy; 0x1cuy; 0x47uy; 0xfbuy; 0xbfuy; 0xfcuy; 0xa2uy; 0x41uy; 0x55uy; 0x9duy; 0xf6uy; 0x5auy; 0x5euy; 0x65uy; 0x32uy; 0x34uy; 0x7buy; 0x52uy; 0x8duy; 0xd5uy; 0xd0uy; 0x20uy; 0x60uy; 0x03uy; 0xabuy; 0x3fuy; 0x8cuy; 0xd4uy; 0x21uy; 0xeauy; 0x2auy; 0xd9uy; 0xc4uy; 0xd0uy; 0xd3uy; 0x65uy; 0xd8uy; 0x7auy; 0x13uy; 0x28uy; 0x62uy; 0x32uy; 0x4buy; 0x2cuy; 0x87uy; 0x93uy; 0xa8uy; 0xb4uy; 0x52uy; 0x45uy; 0x09uy; 0x44uy; 0xecuy; 0xecuy; 0xc3uy; 0x17uy; 0xdbuy; 0x9auy; 0x4duy; 0x5cuy; 0xa9uy; 0x11uy; 0xd4uy; 0x7duy; 0xafuy; 0x9euy; 0xf1uy; 0x2duy; 0xb2uy; 0x66uy; 0xc5uy; 0x1duy; 0xeduy; 0xb7uy; 0xcduy; 0x0buy; 0x25uy; 0x5euy; 0x30uy; 0x47uy; 0x3fuy; 0x40uy; 0xf4uy; 0xa1uy; 0xa0uy; 0x00uy; 0x94uy; 0x10uy; 0xc5uy; 0x6auy; 0x63uy; 0x1auy; 0xd5uy; 0x88uy; 0x92uy; 0x8euy; 0x82uy; 0x39uy; 0x87uy; 0x3cuy; 0x78uy; 0x65uy; 0x58uy; 0x42uy; 0x75uy; 0x5buy; 0xdduy; 0x77uy; 0x3euy; 0x09uy; 0x4euy; 0x76uy; 0x5buy; 0xe6uy; 0x0euy; 0x4duy; 0x38uy; 0xb2uy; 0xc0uy; 0xb8uy; 0x95uy; 0x01uy; 0x7auy; 0x10uy; 0xe0uy; 0xfbuy; 0x07uy; 0xf2uy; 0xabuy; 0x2duy; 0x8cuy; 0x32uy; 0xeduy; 0x2buy; 0xc0uy; 0x46uy; 0xc2uy; 0xf5uy; 0x38uy; 0x83uy; 0xf0uy; 0x17uy; 0xecuy; 0xc1uy; 0x20uy; 0x6auy; 0x9auy; 0x0buy; 0x00uy; 0xa0uy; 0x98uy; 0x22uy; 0x50uy; 0x23uy; 0xd5uy; 0x80uy; 0x6buy; 0xf6uy; 0x1fuy; 0xc3uy; 0xccuy; 0x97uy; 0xc9uy; 0x24uy; 0x9fuy; 0xf3uy; 0xafuy; 0x43uy; 0x14uy; 0xd5uy; 0xa0uy; ] in assert_norm (List.Tot.length l = 1040); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output9_len: (x:UInt32.t { UInt32.v x = B.length output9 }) = 1040ul let key10: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x35uy; 0x4euy; 0xb5uy; 0x70uy; 0x50uy; 0x42uy; 0x8auy; 0x85uy; 0xf2uy; 0xfbuy; 0xeduy; 0x7buy; 0xd0uy; 0x9euy; 0x97uy; 0xcauy; 0xfauy; 0x98uy; 0x66uy; 0x63uy; 0xeeuy; 0x37uy; 0xccuy; 0x52uy; 0xfeuy; 0xd1uy; 0xdfuy; 0x95uy; 0x15uy; 0x34uy; 0x29uy; 0x38uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key10_len: (x:UInt32.t { UInt32.v x = B.length key10 }) = 32ul let nonce10: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xfduy; 0x87uy; 0xd4uy; 0xd8uy; 0x62uy; 0xfduy; 0xecuy; 0xaauy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce10_len: (x:UInt32.t { UInt32.v x = B.length nonce10 }) = 12ul let aad10: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0xd6uy; 0x31uy; 0xdauy; 0x5duy; 0x42uy; 0x5euy; 0xd7uy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad10_len: (x:UInt32.t { UInt32.v x = B.length aad10 }) = 7ul let input10: (b: B.buffer UInt8.t { B.length b = 1933 /\ B.recallable b /\ B.disjoint b aad10 }) = B.recall aad10;[@inline_let] let l = [ 0x7auy; 0x57uy; 0xf2uy; 0xc7uy; 0x06uy; 0x3fuy; 0x50uy; 0x7buy; 0x36uy; 0x1auy; 0x66uy; 0x5cuy; 0xb9uy; 0x0euy; 0x5euy; 0x3buy; 0x45uy; 0x60uy; 0xbeuy; 0x9auy; 0x31uy; 0x9fuy; 0xffuy; 0x5duy; 0x66uy; 0x34uy; 0xb4uy; 0xdcuy; 0xfbuy; 0x9duy; 0x8euy; 0xeeuy; 0x6auy; 0x33uy; 0xa4uy; 0x07uy; 0x3cuy; 0xf9uy; 0x4cuy; 0x30uy; 0xa1uy; 0x24uy; 0x52uy; 0xf9uy; 0x50uy; 0x46uy; 0x88uy; 0x20uy; 0x02uy; 0x32uy; 0x3auy; 0x0euy; 0x99uy; 0x63uy; 0xafuy; 0x1fuy; 0x15uy; 0x28uy; 0x2auy; 0x05uy; 0xffuy; 0x57uy; 0x59uy; 0x5euy; 0x18uy; 0xa1uy; 0x1fuy; 0xd0uy; 0x92uy; 0x5cuy; 0x88uy; 0x66uy; 0x1buy; 0x00uy; 0x64uy; 0xa5uy; 0x93uy; 0x8duy; 0x06uy; 0x46uy; 0xb0uy; 0x64uy; 0x8buy; 0x8buy; 0xefuy; 0x99uy; 0x05uy; 0x35uy; 0x85uy; 0xb3uy; 0xf3uy; 0x33uy; 0xbbuy; 0xecuy; 0x66uy; 0xb6uy; 0x3duy; 0x57uy; 0x42uy; 0xe3uy; 0xb4uy; 0xc6uy; 0xaauy; 0xb0uy; 0x41uy; 0x2auy; 0xb9uy; 0x59uy; 0xa9uy; 0xf6uy; 0x3euy; 0x15uy; 0x26uy; 0x12uy; 0x03uy; 0x21uy; 0x4cuy; 0x74uy; 0x43uy; 0x13uy; 0x2auy; 0x03uy; 0x27uy; 0x09uy; 0xb4uy; 0xfbuy; 0xe7uy; 0xb7uy; 0x40uy; 0xffuy; 0x5euy; 0xceuy; 0x48uy; 0x9auy; 0x60uy; 0xe3uy; 0x8buy; 0x80uy; 0x8cuy; 0x38uy; 0x2duy; 0xcbuy; 0x93uy; 0x37uy; 0x74uy; 0x05uy; 0x52uy; 0x6fuy; 0x73uy; 0x3euy; 0xc3uy; 0xbcuy; 0xcauy; 0x72uy; 0x0auy; 0xebuy; 0xf1uy; 0x3buy; 0xa0uy; 0x95uy; 0xdcuy; 0x8auy; 0xc4uy; 0xa9uy; 0xdcuy; 0xcauy; 0x44uy; 0xd8uy; 0x08uy; 0x63uy; 0x6auy; 0x36uy; 0xd3uy; 0x3cuy; 0xb8uy; 0xacuy; 0x46uy; 0x7duy; 0xfduy; 0xaauy; 0xebuy; 0x3euy; 0x0fuy; 0x45uy; 0x8fuy; 0x49uy; 0xdauy; 0x2buy; 0xf2uy; 0x12uy; 0xbduy; 0xafuy; 0x67uy; 0x8auy; 0x63uy; 0x48uy; 0x4buy; 0x55uy; 0x5fuy; 0x6duy; 0x8cuy; 0xb9uy; 0x76uy; 0x34uy; 0x84uy; 0xaeuy; 0xc2uy; 0xfcuy; 0x52uy; 0x64uy; 0x82uy; 0xf7uy; 0xb0uy; 0x06uy; 0xf0uy; 0x45uy; 0x73uy; 0x12uy; 0x50uy; 0x30uy; 0x72uy; 0xeauy; 0x78uy; 0x9auy; 0xa8uy; 0xafuy; 0xb5uy; 0xe3uy; 0xbbuy; 0x77uy; 0x52uy; 0xecuy; 0x59uy; 0x84uy; 0xbfuy; 0x6buy; 0x8fuy; 0xceuy; 0x86uy; 0x5euy; 0x1fuy; 0x23uy; 0xe9uy; 0xfbuy; 0x08uy; 0x86uy; 0xf7uy; 0x10uy; 0xb9uy; 0xf2uy; 0x44uy; 0x96uy; 0x44uy; 0x63uy; 0xa9uy; 0xa8uy; 0x78uy; 0x00uy; 0x23uy; 0xd6uy; 0xc7uy; 0xe7uy; 0x6euy; 0x66uy; 0x4fuy; 0xccuy; 0xeeuy; 0x15uy; 0xb3uy; 0xbduy; 0x1duy; 0xa0uy; 0xe5uy; 0x9cuy; 0x1buy; 0x24uy; 0x2cuy; 0x4duy; 0x3cuy; 0x62uy; 0x35uy; 0x9cuy; 0x88uy; 0x59uy; 0x09uy; 0xdduy; 0x82uy; 0x1buy; 0xcfuy; 0x0auy; 0x83uy; 0x6buy; 0x3fuy; 0xaeuy; 0x03uy; 0xc4uy; 0xb4uy; 0xdduy; 0x7euy; 0x5buy; 0x28uy; 0x76uy; 0x25uy; 0x96uy; 0xd9uy; 0xc9uy; 0x9duy; 0x5fuy; 0x86uy; 0xfauy; 0xf6uy; 0xd7uy; 0xd2uy; 0xe6uy; 0x76uy; 0x1duy; 0x0fuy; 0xa1uy; 0xdcuy; 0x74uy; 0x05uy; 0x1buy; 0x1duy; 0xe0uy; 0xcduy; 0x16uy; 0xb0uy; 0xa8uy; 0x8auy; 0x34uy; 0x7buy; 0x15uy; 0x11uy; 0x77uy; 0xe5uy; 0x7buy; 0x7euy; 0x20uy; 0xf7uy; 0xdauy; 0x38uy; 0xdauy; 0xceuy; 0x70uy; 0xe9uy; 0xf5uy; 0x6cuy; 0xd9uy; 0xbeuy; 0x0cuy; 0x4cuy; 0x95uy; 0x4cuy; 0xc2uy; 0x9buy; 0x34uy; 0x55uy; 0x55uy; 0xe1uy; 0xf3uy; 0x46uy; 0x8euy; 0x48uy; 0x74uy; 0x14uy; 0x4fuy; 0x9duy; 0xc9uy; 0xf5uy; 0xe8uy; 0x1auy; 0xf0uy; 0x11uy; 0x4auy; 0xc1uy; 0x8duy; 0xe0uy; 0x93uy; 0xa0uy; 0xbeuy; 0x09uy; 0x1cuy; 0x2buy; 0x4euy; 0x0fuy; 0xb2uy; 0x87uy; 0x8buy; 0x84uy; 0xfeuy; 0x92uy; 0x32uy; 0x14uy; 0xd7uy; 0x93uy; 0xdfuy; 0xe7uy; 0x44uy; 0xbcuy; 0xc5uy; 0xaeuy; 0x53uy; 0x69uy; 0xd8uy; 0xb3uy; 0x79uy; 0x37uy; 0x80uy; 0xe3uy; 0x17uy; 0x5cuy; 0xecuy; 0x53uy; 0x00uy; 0x9auy; 0xe3uy; 0x8euy; 0xdcuy; 0x38uy; 0xb8uy; 0x66uy; 0xf0uy; 0xd3uy; 0xaduy; 0x1duy; 0x02uy; 0x96uy; 0x86uy; 0x3euy; 0x9duy; 0x3buy; 0x5duy; 0xa5uy; 0x7fuy; 0x21uy; 0x10uy; 0xf1uy; 0x1fuy; 0x13uy; 0x20uy; 0xf9uy; 0x57uy; 0x87uy; 0x20uy; 0xf5uy; 0x5fuy; 0xf1uy; 0x17uy; 0x48uy; 0x0auy; 0x51uy; 0x5auy; 0xcduy; 0x19uy; 0x03uy; 0xa6uy; 0x5auy; 0xd1uy; 0x12uy; 0x97uy; 0xe9uy; 0x48uy; 0xe2uy; 0x1duy; 0x83uy; 0x75uy; 0x50uy; 0xd9uy; 0x75uy; 0x7duy; 0x6auy; 0x82uy; 0xa1uy; 0xf9uy; 0x4euy; 0x54uy; 0x87uy; 0x89uy; 0xc9uy; 0x0cuy; 0xb7uy; 0x5buy; 0x6auy; 0x91uy; 0xc1uy; 0x9cuy; 0xb2uy; 0xa9uy; 0xdcuy; 0x9auy; 0xa4uy; 0x49uy; 0x0auy; 0x6duy; 0x0duy; 0xbbuy; 0xdeuy; 0x86uy; 0x44uy; 0xdduy; 0x5duy; 0x89uy; 0x2buy; 0x96uy; 0x0fuy; 0x23uy; 0x95uy; 0xaduy; 0xccuy; 0xa2uy; 0xb3uy; 0xb9uy; 0x7euy; 0x74uy; 0x38uy; 0xbauy; 0x9fuy; 0x73uy; 0xaeuy; 0x5fuy; 0xf8uy; 0x68uy; 0xa2uy; 0xe0uy; 0xa9uy; 0xceuy; 0xbduy; 0x40uy; 0xd4uy; 0x4cuy; 0x6buy; 0xd2uy; 0x56uy; 0x62uy; 0xb0uy; 0xccuy; 0x63uy; 0x7euy; 0x5buy; 0xd3uy; 0xaeuy; 0xd1uy; 0x75uy; 0xceuy; 0xbbuy; 0xb4uy; 0x5buy; 0xa8uy; 0xf8uy; 0xb4uy; 0xacuy; 0x71uy; 0x75uy; 0xaauy; 0xc9uy; 0x9fuy; 0xbbuy; 0x6cuy; 0xaduy; 0x0fuy; 0x55uy; 0x5duy; 0xe8uy; 0x85uy; 0x7duy; 0xf9uy; 0x21uy; 0x35uy; 0xeauy; 0x92uy; 0x85uy; 0x2buy; 0x00uy; 0xecuy; 0x84uy; 0x90uy; 0x0auy; 0x63uy; 0x96uy; 0xe4uy; 0x6buy; 0xa9uy; 0x77uy; 0xb8uy; 0x91uy; 0xf8uy; 0x46uy; 0x15uy; 0x72uy; 0x63uy; 0x70uy; 0x01uy; 0x40uy; 0xa3uy; 0xa5uy; 0x76uy; 0x62uy; 0x2buy; 0xbfuy; 0xf1uy; 0xe5uy; 0x8duy; 0x9fuy; 0xa3uy; 0xfauy; 0x9buy; 0x03uy; 0xbeuy; 0xfeuy; 0x65uy; 0x6fuy; 0xa2uy; 0x29uy; 0x0duy; 0x54uy; 0xb4uy; 0x71uy; 0xceuy; 0xa9uy; 0xd6uy; 0x3duy; 0x88uy; 0xf9uy; 0xafuy; 0x6buy; 0xa8uy; 0x9euy; 0xf4uy; 0x16uy; 0x96uy; 0x36uy; 0xb9uy; 0x00uy; 0xdcuy; 0x10uy; 0xabuy; 0xb5uy; 0x08uy; 0x31uy; 0x1fuy; 0x00uy; 0xb1uy; 0x3cuy; 0xd9uy; 0x38uy; 0x3euy; 0xc6uy; 0x04uy; 0xa7uy; 0x4euy; 0xe8uy; 0xaeuy; 0xeduy; 0x98uy; 0xc2uy; 0xf7uy; 0xb9uy; 0x00uy; 0x5fuy; 0x8cuy; 0x60uy; 0xd1uy; 0xe5uy; 0x15uy; 0xf7uy; 0xaeuy; 0x1euy; 0x84uy; 0x88uy; 0xd1uy; 0xf6uy; 0xbcuy; 0x3auy; 0x89uy; 0x35uy; 0x22uy; 0x83uy; 0x7cuy; 0xcauy; 0xf0uy; 0x33uy; 0x82uy; 0x4cuy; 0x79uy; 0x3cuy; 0xfduy; 0xb1uy; 0xaeuy; 0x52uy; 0x62uy; 0x55uy; 0xd2uy; 0x41uy; 0x60uy; 0xc6uy; 0xbbuy; 0xfauy; 0x0euy; 0x59uy; 0xd6uy; 0xa8uy; 0xfeuy; 0x5duy; 0xeduy; 0x47uy; 0x3duy; 0xe0uy; 0xeauy; 0x1fuy; 0x6euy; 0x43uy; 0x51uy; 0xecuy; 0x10uy; 0x52uy; 0x56uy; 0x77uy; 0x42uy; 0x6buy; 0x52uy; 0x87uy; 0xd8uy; 0xecuy; 0xe0uy; 0xaauy; 0x76uy; 0xa5uy; 0x84uy; 0x2auy; 0x22uy; 0x24uy; 0xfduy; 0x92uy; 0x40uy; 0x88uy; 0xd5uy; 0x85uy; 0x1cuy; 0x1fuy; 0x6buy; 0x47uy; 0xa0uy; 0xc4uy; 0xe4uy; 0xefuy; 0xf4uy; 0xeauy; 0xd7uy; 0x59uy; 0xacuy; 0x2auy; 0x9euy; 0x8cuy; 0xfauy; 0x1fuy; 0x42uy; 0x08uy; 0xfeuy; 0x4fuy; 0x74uy; 0xa0uy; 0x26uy; 0xf5uy; 0xb3uy; 0x84uy; 0xf6uy; 0x58uy; 0x5fuy; 0x26uy; 0x66uy; 0x3euy; 0xd7uy; 0xe4uy; 0x22uy; 0x91uy; 0x13uy; 0xc8uy; 0xacuy; 0x25uy; 0x96uy; 0x23uy; 0xd8uy; 0x09uy; 0xeauy; 0x45uy; 0x75uy; 0x23uy; 0xb8uy; 0x5fuy; 0xc2uy; 0x90uy; 0x8buy; 0x09uy; 0xc4uy; 0xfcuy; 0x47uy; 0x6cuy; 0x6duy; 0x0auy; 0xefuy; 0x69uy; 0xa4uy; 0x38uy; 0x19uy; 0xcfuy; 0x7duy; 0xf9uy; 0x09uy; 0x73uy; 0x9buy; 0x60uy; 0x5auy; 0xf7uy; 0x37uy; 0xb5uy; 0xfeuy; 0x9fuy; 0xe3uy; 0x2buy; 0x4cuy; 0x0duy; 0x6euy; 0x19uy; 0xf1uy; 0xd6uy; 0xc0uy; 0x70uy; 0xf3uy; 0x9duy; 0x22uy; 0x3cuy; 0xf9uy; 0x49uy; 0xceuy; 0x30uy; 0x8euy; 0x44uy; 0xb5uy; 0x76uy; 0x15uy; 0x8fuy; 0x52uy; 0xfduy; 0xa5uy; 0x04uy; 0xb8uy; 0x55uy; 0x6auy; 0x36uy; 0x59uy; 0x7cuy; 0xc4uy; 0x48uy; 0xb8uy; 0xd7uy; 0xabuy; 0x05uy; 0x66uy; 0xe9uy; 0x5euy; 0x21uy; 0x6fuy; 0x6buy; 0x36uy; 0x29uy; 0xbbuy; 0xe9uy; 0xe3uy; 0xa2uy; 0x9auy; 0xa8uy; 0xcduy; 0x55uy; 0x25uy; 0x11uy; 0xbauy; 0x5auy; 0x58uy; 0xa0uy; 0xdeuy; 0xaeuy; 0x19uy; 0x2auy; 0x48uy; 0x5auy; 0xffuy; 0x36uy; 0xcduy; 0x6duy; 0x16uy; 0x7auy; 0x73uy; 0x38uy; 0x46uy; 0xe5uy; 0x47uy; 0x59uy; 0xc8uy; 0xa2uy; 0xf6uy; 0xe2uy; 0x6cuy; 0x83uy; 0xc5uy; 0x36uy; 0x2cuy; 0x83uy; 0x7duy; 0xb4uy; 0x01uy; 0x05uy; 0x69uy; 0xe7uy; 0xafuy; 0x5cuy; 0xc4uy; 0x64uy; 0x82uy; 0x12uy; 0x21uy; 0xefuy; 0xf7uy; 0xd1uy; 0x7duy; 0xb8uy; 0x8duy; 0x8cuy; 0x98uy; 0x7cuy; 0x5fuy; 0x7duy; 0x92uy; 0x88uy; 0xb9uy; 0x94uy; 0x07uy; 0x9cuy; 0xd8uy; 0xe9uy; 0x9cuy; 0x17uy; 0x38uy; 0xe3uy; 0x57uy; 0x6cuy; 0xe0uy; 0xdcuy; 0xa5uy; 0x92uy; 0x42uy; 0xb3uy; 0xbduy; 0x50uy; 0xa2uy; 0x7euy; 0xb5uy; 0xb1uy; 0x52uy; 0x72uy; 0x03uy; 0x97uy; 0xd8uy; 0xaauy; 0x9auy; 0x1euy; 0x75uy; 0x41uy; 0x11uy; 0xa3uy; 0x4fuy; 0xccuy; 0xd4uy; 0xe3uy; 0x73uy; 0xaduy; 0x96uy; 0xdcuy; 0x47uy; 0x41uy; 0x9fuy; 0xb0uy; 0xbeuy; 0x79uy; 0x91uy; 0xf5uy; 0xb6uy; 0x18uy; 0xfeuy; 0xc2uy; 0x83uy; 0x18uy; 0x7duy; 0x73uy; 0xd9uy; 0x4fuy; 0x83uy; 0x84uy; 0x03uy; 0xb3uy; 0xf0uy; 0x77uy; 0x66uy; 0x3duy; 0x83uy; 0x63uy; 0x2euy; 0x2cuy; 0xf9uy; 0xdduy; 0xa6uy; 0x1fuy; 0x89uy; 0x82uy; 0xb8uy; 0x23uy; 0x42uy; 0xebuy; 0xe2uy; 0xcauy; 0x70uy; 0x82uy; 0x61uy; 0x41uy; 0x0auy; 0x6duy; 0x5fuy; 0x75uy; 0xc5uy; 0xe2uy; 0xc4uy; 0x91uy; 0x18uy; 0x44uy; 0x22uy; 0xfauy; 0x34uy; 0x10uy; 0xf5uy; 0x20uy; 0xdcuy; 0xb7uy; 0xdduy; 0x2auy; 0x20uy; 0x77uy; 0xf5uy; 0xf9uy; 0xceuy; 0xdbuy; 0xa0uy; 0x0auy; 0x52uy; 0x2auy; 0x4euy; 0xdduy; 0xccuy; 0x97uy; 0xdfuy; 0x05uy; 0xe4uy; 0x5euy; 0xb7uy; 0xaauy; 0xf0uy; 0xe2uy; 0x80uy; 0xffuy; 0xbauy; 0x1auy; 0x0fuy; 0xacuy; 0xdfuy; 0x02uy; 0x32uy; 0xe6uy; 0xf7uy; 0xc7uy; 0x17uy; 0x13uy; 0xb7uy; 0xfcuy; 0x98uy; 0x48uy; 0x8cuy; 0x0duy; 0x82uy; 0xc9uy; 0x80uy; 0x7auy; 0xe2uy; 0x0auy; 0xc5uy; 0xb4uy; 0xdeuy; 0x7cuy; 0x3cuy; 0x79uy; 0x81uy; 0x0euy; 0x28uy; 0x65uy; 0x79uy; 0x67uy; 0x82uy; 0x69uy; 0x44uy; 0x66uy; 0x09uy; 0xf7uy; 0x16uy; 0x1auy; 0xf9uy; 0x7duy; 0x80uy; 0xa1uy; 0x79uy; 0x14uy; 0xa9uy; 0xc8uy; 0x20uy; 0xfbuy; 0xa2uy; 0x46uy; 0xbeuy; 0x08uy; 0x35uy; 0x17uy; 0x58uy; 0xc1uy; 0x1auy; 0xdauy; 0x2auy; 0x6buy; 0x2euy; 0x1euy; 0xe6uy; 0x27uy; 0x55uy; 0x7buy; 0x19uy; 0xe2uy; 0xfbuy; 0x64uy; 0xfcuy; 0x5euy; 0x15uy; 0x54uy; 0x3cuy; 0xe7uy; 0xc2uy; 0x11uy; 0x50uy; 0x30uy; 0xb8uy; 0x72uy; 0x03uy; 0x0buy; 0x1auy; 0x9fuy; 0x86uy; 0x27uy; 0x11uy; 0x5cuy; 0x06uy; 0x2buy; 0xbduy; 0x75uy; 0x1auy; 0x0auy; 0xdauy; 0x01uy; 0xfauy; 0x5cuy; 0x4auy; 0xc1uy; 0x80uy; 0x3auy; 0x6euy; 0x30uy; 0xc8uy; 0x2cuy; 0xebuy; 0x56uy; 0xecuy; 0x89uy; 0xfauy; 0x35uy; 0x7buy; 0xb2uy; 0xf0uy; 0x97uy; 0x08uy; 0x86uy; 0x53uy; 0xbeuy; 0xbduy; 0x40uy; 0x41uy; 0x38uy; 0x1cuy; 0xb4uy; 0x8buy; 0x79uy; 0x2euy; 0x18uy; 0x96uy; 0x94uy; 0xdeuy; 0xe8uy; 0xcauy; 0xe5uy; 0x9fuy; 0x92uy; 0x9fuy; 0x15uy; 0x5duy; 0x56uy; 0x60uy; 0x5cuy; 0x09uy; 0xf9uy; 0x16uy; 0xf4uy; 0x17uy; 0x0fuy; 0xf6uy; 0x4cuy; 0xdauy; 0xe6uy; 0x67uy; 0x89uy; 0x9fuy; 0xcauy; 0x6cuy; 0xe7uy; 0x9buy; 0x04uy; 0x62uy; 0x0euy; 0x26uy; 0xa6uy; 0x52uy; 0xbduy; 0x29uy; 0xffuy; 0xc7uy; 0xa4uy; 0x96uy; 0xe6uy; 0x6auy; 0x02uy; 0xa5uy; 0x2euy; 0x7buy; 0xfeuy; 0x97uy; 0x68uy; 0x3euy; 0x2euy; 0x5fuy; 0x3buy; 0x0fuy; 0x36uy; 0xd6uy; 0x98uy; 0x19uy; 0x59uy; 0x48uy; 0xd2uy; 0xc6uy; 0xe1uy; 0x55uy; 0x1auy; 0x6euy; 0xd6uy; 0xeduy; 0x2cuy; 0xbauy; 0xc3uy; 0x9euy; 0x64uy; 0xc9uy; 0x95uy; 0x86uy; 0x35uy; 0x5euy; 0x3euy; 0x88uy; 0x69uy; 0x99uy; 0x4buy; 0xeeuy; 0xbeuy; 0x9auy; 0x99uy; 0xb5uy; 0x6euy; 0x58uy; 0xaeuy; 0xdduy; 0x22uy; 0xdbuy; 0xdduy; 0x6buy; 0xfcuy; 0xafuy; 0x90uy; 0xa3uy; 0x3duy; 0xa4uy; 0xc1uy; 0x15uy; 0x92uy; 0x18uy; 0x8duy; 0xd2uy; 0x4buy; 0x7buy; 0x06uy; 0xd1uy; 0x37uy; 0xb5uy; 0xe2uy; 0x7cuy; 0x2cuy; 0xf0uy; 0x25uy; 0xe4uy; 0x94uy; 0x2auy; 0xbduy; 0xe3uy; 0x82uy; 0x70uy; 0x78uy; 0xa3uy; 0x82uy; 0x10uy; 0x5auy; 0x90uy; 0xd7uy; 0xa4uy; 0xfauy; 0xafuy; 0x1auy; 0x88uy; 0x59uy; 0xdcuy; 0x74uy; 0x12uy; 0xb4uy; 0x8euy; 0xd7uy; 0x19uy; 0x46uy; 0xf4uy; 0x84uy; 0x69uy; 0x9fuy; 0xbbuy; 0x70uy; 0xa8uy; 0x4cuy; 0x52uy; 0x81uy; 0xa9uy; 0xffuy; 0x76uy; 0x1cuy; 0xaeuy; 0xd8uy; 0x11uy; 0x3duy; 0x7fuy; 0x7duy; 0xc5uy; 0x12uy; 0x59uy; 0x28uy; 0x18uy; 0xc2uy; 0xa2uy; 0xb7uy; 0x1cuy; 0x88uy; 0xf8uy; 0xd6uy; 0x1buy; 0xa6uy; 0x7duy; 0x9euy; 0xdeuy; 0x29uy; 0xf8uy; 0xeduy; 0xffuy; 0xebuy; 0x92uy; 0x24uy; 0x4fuy; 0x05uy; 0xaauy; 0xd9uy; 0x49uy; 0xbauy; 0x87uy; 0x59uy; 0x51uy; 0xc9uy; 0x20uy; 0x5cuy; 0x9buy; 0x74uy; 0xcfuy; 0x03uy; 0xd9uy; 0x2duy; 0x34uy; 0xc7uy; 0x5buy; 0xa5uy; 0x40uy; 0xb2uy; 0x99uy; 0xf5uy; 0xcbuy; 0xb4uy; 0xf6uy; 0xb7uy; 0x72uy; 0x4auy; 0xd6uy; 0xbduy; 0xb0uy; 0xf3uy; 0x93uy; 0xe0uy; 0x1buy; 0xa8uy; 0x04uy; 0x1euy; 0x35uy; 0xd4uy; 0x80uy; 0x20uy; 0xf4uy; 0x9cuy; 0x31uy; 0x6buy; 0x45uy; 0xb9uy; 0x15uy; 0xb0uy; 0x5euy; 0xdduy; 0x0auy; 0x33uy; 0x9cuy; 0x83uy; 0xcduy; 0x58uy; 0x89uy; 0x50uy; 0x56uy; 0xbbuy; 0x81uy; 0x00uy; 0x91uy; 0x32uy; 0xf3uy; 0x1buy; 0x3euy; 0xcfuy; 0x45uy; 0xe1uy; 0xf9uy; 0xe1uy; 0x2cuy; 0x26uy; 0x78uy; 0x93uy; 0x9auy; 0x60uy; 0x46uy; 0xc9uy; 0xb5uy; 0x5euy; 0x6auy; 0x28uy; 0x92uy; 0x87uy; 0x3fuy; 0x63uy; 0x7buy; 0xdbuy; 0xf7uy; 0xd0uy; 0x13uy; 0x9duy; 0x32uy; 0x40uy; 0x5euy; 0xcfuy; 0xfbuy; 0x79uy; 0x68uy; 0x47uy; 0x4cuy; 0xfduy; 0x01uy; 0x17uy; 0xe6uy; 0x97uy; 0x93uy; 0x78uy; 0xbbuy; 0xa6uy; 0x27uy; 0xa3uy; 0xe8uy; 0x1auy; 0xe8uy; 0x94uy; 0x55uy; 0x7duy; 0x08uy; 0xe5uy; 0xdcuy; 0x66uy; 0xa3uy; 0x69uy; 0xc8uy; 0xcauy; 0xc5uy; 0xa1uy; 0x84uy; 0x55uy; 0xdeuy; 0x08uy; 0x91uy; 0x16uy; 0x3auy; 0x0cuy; 0x86uy; 0xabuy; 0x27uy; 0x2buy; 0x64uy; 0x34uy; 0x02uy; 0x6cuy; 0x76uy; 0x8buy; 0xc6uy; 0xafuy; 0xccuy; 0xe1uy; 0xd6uy; 0x8cuy; 0x2auy; 0x18uy; 0x3duy; 0xa6uy; 0x1buy; 0x37uy; 0x75uy; 0x45uy; 0x73uy; 0xc2uy; 0x75uy; 0xd7uy; 0x53uy; 0x78uy; 0x3auy; 0xd6uy; 0xe8uy; 0x29uy; 0xd2uy; 0x4auy; 0xa8uy; 0x1euy; 0x82uy; 0xf6uy; 0xb6uy; 0x81uy; 0xdeuy; 0x21uy; 0xeduy; 0x2buy; 0x56uy; 0xbbuy; 0xf2uy; 0xd0uy; 0x57uy; 0xc1uy; 0x7cuy; 0xd2uy; 0x6auy; 0xd2uy; 0x56uy; 0xf5uy; 0x13uy; 0x5fuy; 0x1cuy; 0x6auy; 0x0buy; 0x74uy; 0xfbuy; 0xe9uy; 0xfeuy; 0x9euy; 0xeauy; 0x95uy; 0xb2uy; 0x46uy; 0xabuy; 0x0auy; 0xfcuy; 0xfduy; 0xf3uy; 0xbbuy; 0x04uy; 0x2buy; 0x76uy; 0x1buy; 0xa4uy; 0x74uy; 0xb0uy; 0xc1uy; 0x78uy; 0xc3uy; 0x69uy; 0xe2uy; 0xb0uy; 0x01uy; 0xe1uy; 0xdeuy; 0x32uy; 0x4cuy; 0x8duy; 0x1auy; 0xb3uy; 0x38uy; 0x08uy; 0xd5uy; 0xfcuy; 0x1fuy; 0xdcuy; 0x0euy; 0x2cuy; 0x9cuy; 0xb1uy; 0xa1uy; 0x63uy; 0x17uy; 0x22uy; 0xf5uy; 0x6cuy; 0x93uy; 0x70uy; 0x74uy; 0x00uy; 0xf8uy; 0x39uy; 0x01uy; 0x94uy; 0xd1uy; 0x32uy; 0x23uy; 0x56uy; 0x5duy; 0xa6uy; 0x02uy; 0x76uy; 0x76uy; 0x93uy; 0xceuy; 0x2fuy; 0x19uy; 0xe9uy; 0x17uy; 0x52uy; 0xaeuy; 0x6euy; 0x2cuy; 0x6duy; 0x61uy; 0x7fuy; 0x3buy; 0xaauy; 0xe0uy; 0x52uy; 0x85uy; 0xc5uy; 0x65uy; 0xc1uy; 0xbbuy; 0x8euy; 0x5buy; 0x21uy; 0xd5uy; 0xc9uy; 0x78uy; 0x83uy; 0x07uy; 0x97uy; 0x4cuy; 0x62uy; 0x61uy; 0x41uy; 0xd4uy; 0xfcuy; 0xc9uy; 0x39uy; 0xe3uy; 0x9buy; 0xd0uy; 0xccuy; 0x75uy; 0xc4uy; 0x97uy; 0xe6uy; 0xdduy; 0x2auy; 0x5fuy; 0xa6uy; 0xe8uy; 0x59uy; 0x6cuy; 0x98uy; 0xb9uy; 0x02uy; 0xe2uy; 0xa2uy; 0xd6uy; 0x68uy; 0xeeuy; 0x3buy; 0x1duy; 0xe3uy; 0x4duy; 0x5buy; 0x30uy; 0xefuy; 0x03uy; 0xf2uy; 0xebuy; 0x18uy; 0x57uy; 0x36uy; 0xe8uy; 0xa1uy; 0xf4uy; 0x47uy; 0xfbuy; 0xcbuy; 0x8fuy; 0xcbuy; 0xc8uy; 0xf3uy; 0x4fuy; 0x74uy; 0x9duy; 0x9duy; 0xb1uy; 0x8duy; 0x14uy; 0x44uy; 0xd9uy; 0x19uy; 0xb4uy; 0x54uy; 0x4fuy; 0x75uy; 0x19uy; 0x09uy; 0xa0uy; 0x75uy; 0xbcuy; 0x3buy; 0x82uy; 0xc6uy; 0x3fuy; 0xb8uy; 0x83uy; 0x19uy; 0x6euy; 0xd6uy; 0x37uy; 0xfeuy; 0x6euy; 0x8auy; 0x4euy; 0xe0uy; 0x4auy; 0xabuy; 0x7buy; 0xc8uy; 0xb4uy; 0x1duy; 0xf4uy; 0xeduy; 0x27uy; 0x03uy; 0x65uy; 0xa2uy; 0xa1uy; 0xaeuy; 0x11uy; 0xe7uy; 0x98uy; 0x78uy; 0x48uy; 0x91uy; 0xd2uy; 0xd2uy; 0xd4uy; 0x23uy; 0x78uy; 0x50uy; 0xb1uy; 0x5buy; 0x85uy; 0x10uy; 0x8duy; 0xcauy; 0x5fuy; 0x0fuy; 0x71uy; 0xaeuy; 0x72uy; 0x9auy; 0xf6uy; 0x25uy; 0x19uy; 0x60uy; 0x06uy; 0xf7uy; 0x10uy; 0x34uy; 0x18uy; 0x0duy; 0xc9uy; 0x9fuy; 0x7buy; 0x0cuy; 0x9buy; 0x8fuy; 0x91uy; 0x1buy; 0x9fuy; 0xcduy; 0x10uy; 0xeeuy; 0x75uy; 0xf9uy; 0x97uy; 0x66uy; 0xfcuy; 0x4duy; 0x33uy; 0x6euy; 0x28uy; 0x2buy; 0x92uy; 0x85uy; 0x4fuy; 0xabuy; 0x43uy; 0x8duy; 0x8fuy; 0x7duy; 0x86uy; 0xa7uy; 0xc7uy; 0xd8uy; 0xd3uy; 0x0buy; 0x8buy; 0x57uy; 0xb6uy; 0x1duy; 0x95uy; 0x0duy; 0xe9uy; 0xbcuy; 0xd9uy; 0x03uy; 0xd9uy; 0x10uy; 0x19uy; 0xc3uy; 0x46uy; 0x63uy; 0x55uy; 0x87uy; 0x61uy; 0x79uy; 0x6cuy; 0x95uy; 0x0euy; 0x9cuy; 0xdduy; 0xcauy; 0xc3uy; 0xf3uy; 0x64uy; 0xf0uy; 0x7duy; 0x76uy; 0xb7uy; 0x53uy; 0x67uy; 0x2buy; 0x1euy; 0x44uy; 0x56uy; 0x81uy; 0xeauy; 0x8fuy; 0x5cuy; 0x42uy; 0x16uy; 0xb8uy; 0x28uy; 0xebuy; 0x1buy; 0x61uy; 0x10uy; 0x1euy; 0xbfuy; 0xecuy; 0xa8uy; ] in assert_norm (List.Tot.length l = 1933); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input10_len: (x:UInt32.t { UInt32.v x = B.length input10 }) = 1933ul let output10: (b: B.buffer UInt8.t { B.length b = 1949 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xfcuy; 0x4buy; 0x25uy; 0xdfuy; 0xc0uy; 0xe4uy; 0xe8uy; 0x17uy; 0x4duy; 0x4cuy; 0xc9uy; 0x7euy; 0xdeuy; 0x3auy; 0xccuy; 0x3cuy; 0xbauy; 0x6auy; 0x77uy; 0x47uy; 0xdbuy; 0xe3uy; 0x74uy; 0x7auy; 0x4duy; 0x5fuy; 0x8duy; 0x37uy; 0x55uy; 0x80uy; 0x73uy; 0x90uy; 0x66uy; 0x5duy; 0x3auy; 0x7duy; 0x5duy; 0x86uy; 0x5euy; 0x8duy; 0xfduy; 0x83uy; 0xffuy; 0x4euy; 0x74uy; 0x6fuy; 0xf9uy; 0xe6uy; 0x70uy; 0x17uy; 0x70uy; 0x3euy; 0x96uy; 0xa7uy; 0x7euy; 0xcbuy; 0xabuy; 0x8fuy; 0x58uy; 0x24uy; 0x9buy; 0x01uy; 0xfduy; 0xcbuy; 0xe6uy; 0x4duy; 0x9buy; 0xf0uy; 0x88uy; 0x94uy; 0x57uy; 0x66uy; 0xefuy; 0x72uy; 0x4cuy; 0x42uy; 0x6euy; 0x16uy; 0x19uy; 0x15uy; 0xeauy; 0x70uy; 0x5buy; 0xacuy; 0x13uy; 0xdbuy; 0x9fuy; 0x18uy; 0xe2uy; 0x3cuy; 0x26uy; 0x97uy; 0xbcuy; 0xdcuy; 0x45uy; 0x8cuy; 0x6cuy; 0x24uy; 0x69uy; 0x9cuy; 0xf7uy; 0x65uy; 0x1euy; 0x18uy; 0x59uy; 0x31uy; 0x7cuy; 0xe4uy; 0x73uy; 0xbcuy; 0x39uy; 0x62uy; 0xc6uy; 0x5cuy; 0x9fuy; 0xbfuy; 0xfauy; 0x90uy; 0x03uy; 0xc9uy; 0x72uy; 0x26uy; 0xb6uy; 0x1buy; 0xc2uy; 0xb7uy; 0x3fuy; 0xf2uy; 0x13uy; 0x77uy; 0xf2uy; 0x8duy; 0xb9uy; 0x47uy; 0xd0uy; 0x53uy; 0xdduy; 0xc8uy; 0x91uy; 0x83uy; 0x8buy; 0xb1uy; 0xceuy; 0xa3uy; 0xfeuy; 0xcduy; 0xd9uy; 0xdduy; 0x92uy; 0x7buy; 0xdbuy; 0xb8uy; 0xfbuy; 0xc9uy; 0x2duy; 0x01uy; 0x59uy; 0x39uy; 0x52uy; 0xaduy; 0x1buy; 0xecuy; 0xcfuy; 0xd7uy; 0x70uy; 0x13uy; 0x21uy; 0xf5uy; 0x47uy; 0xaauy; 0x18uy; 0x21uy; 0x5cuy; 0xc9uy; 0x9auy; 0xd2uy; 0x6buy; 0x05uy; 0x9cuy; 0x01uy; 0xa1uy; 0xdauy; 0x35uy; 0x5duy; 0xb3uy; 0x70uy; 0xe6uy; 0xa9uy; 0x80uy; 0x8buy; 0x91uy; 0xb7uy; 0xb3uy; 0x5fuy; 0x24uy; 0x9auy; 0xb7uy; 0xd1uy; 0x6buy; 0xa1uy; 0x1cuy; 0x50uy; 0xbauy; 0x49uy; 0xe0uy; 0xeeuy; 0x2euy; 0x75uy; 0xacuy; 0x69uy; 0xc0uy; 0xebuy; 0x03uy; 0xdduy; 0x19uy; 0xe5uy; 0xf6uy; 0x06uy; 0xdduy; 0xc3uy; 0xd7uy; 0x2buy; 0x07uy; 0x07uy; 0x30uy; 0xa7uy; 0x19uy; 0x0cuy; 0xbfuy; 0xe6uy; 0x18uy; 0xccuy; 0xb1uy; 0x01uy; 0x11uy; 0x85uy; 0x77uy; 0x1duy; 0x96uy; 0xa7uy; 0xa3uy; 0x00uy; 0x84uy; 0x02uy; 0xa2uy; 0x83uy; 0x68uy; 0xdauy; 0x17uy; 0x27uy; 0xc8uy; 0x7fuy; 0x23uy; 0xb7uy; 0xf4uy; 0x13uy; 0x85uy; 0xcfuy; 0xdduy; 0x7auy; 0x7duy; 0x24uy; 0x57uy; 0xfeuy; 0x05uy; 0x93uy; 0xf5uy; 0x74uy; 0xceuy; 0xeduy; 0x0cuy; 0x20uy; 0x98uy; 0x8duy; 0x92uy; 0x30uy; 0xa1uy; 0x29uy; 0x23uy; 0x1auy; 0xa0uy; 0x4fuy; 0x69uy; 0x56uy; 0x4cuy; 0xe1uy; 0xc8uy; 0xceuy; 0xf6uy; 0x9auy; 0x0cuy; 0xa4uy; 0xfauy; 0x04uy; 0xf6uy; 0x62uy; 0x95uy; 0xf2uy; 0xfauy; 0xc7uy; 0x40uy; 0x68uy; 0x40uy; 0x8fuy; 0x41uy; 0xdauy; 0xb4uy; 0x26uy; 0x6fuy; 0x70uy; 0xabuy; 0x40uy; 0x61uy; 0xa4uy; 0x0euy; 0x75uy; 0xfbuy; 0x86uy; 0xebuy; 0x9duy; 0x9auy; 0x1fuy; 0xecuy; 0x76uy; 0x99uy; 0xe7uy; 0xeauy; 0xaauy; 0x1euy; 0x2duy; 0xb5uy; 0xd4uy; 0xa6uy; 0x1auy; 0xb8uy; 0x61uy; 0x0auy; 0x1duy; 0x16uy; 0x5buy; 0x98uy; 0xc2uy; 0x31uy; 0x40uy; 0xe7uy; 0x23uy; 0x1duy; 0x66uy; 0x99uy; 0xc8uy; 0xc0uy; 0xd7uy; 0xceuy; 0xf3uy; 0x57uy; 0x40uy; 0x04uy; 0x3fuy; 0xfcuy; 0xeauy; 0xb3uy; 0xfcuy; 0xd2uy; 0xd3uy; 0x99uy; 0xa4uy; 0x94uy; 0x69uy; 0xa0uy; 0xefuy; 0xd1uy; 0x85uy; 0xb3uy; 0xa6uy; 0xb1uy; 0x28uy; 0xbfuy; 0x94uy; 0x67uy; 0x22uy; 0xc3uy; 0x36uy; 0x46uy; 0xf8uy; 0xd2uy; 0x0fuy; 0x5fuy; 0xf4uy; 0x59uy; 0x80uy; 0xe6uy; 0x2duy; 0x43uy; 0x08uy; 0x7duy; 0x19uy; 0x09uy; 0x97uy; 0xa7uy; 0x4cuy; 0x3duy; 0x8duy; 0xbauy; 0x65uy; 0x62uy; 0xa3uy; 0x71uy; 0x33uy; 0x29uy; 0x62uy; 0xdbuy; 0xc1uy; 0x33uy; 0x34uy; 0x1auy; 0x63uy; 0x33uy; 0x16uy; 0xb6uy; 0x64uy; 0x7euy; 0xabuy; 0x33uy; 0xf0uy; 0xe6uy; 0x26uy; 0x68uy; 0xbauy; 0x1duy; 0x2euy; 0x38uy; 0x08uy; 0xe6uy; 0x02uy; 0xd3uy; 0x25uy; 0x2cuy; 0x47uy; 0x23uy; 0x58uy; 0x34uy; 0x0fuy; 0x9duy; 0x63uy; 0x4fuy; 0x63uy; 0xbbuy; 0x7fuy; 0x3buy; 0x34uy; 0x38uy; 0xa7uy; 0xb5uy; 0x8duy; 0x65uy; 0xd9uy; 0x9fuy; 0x79uy; 0x55uy; 0x3euy; 0x4duy; 0xe7uy; 0x73uy; 0xd8uy; 0xf6uy; 0x98uy; 0x97uy; 0x84uy; 0x60uy; 0x9cuy; 0xc8uy; 0xa9uy; 0x3cuy; 0xf6uy; 0xdcuy; 0x12uy; 0x5cuy; 0xe1uy; 0xbbuy; 0x0buy; 0x8buy; 0x98uy; 0x9cuy; 0x9duy; 0x26uy; 0x7cuy; 0x4auy; 0xe6uy; 0x46uy; 0x36uy; 0x58uy; 0x21uy; 0x4auy; 0xeeuy; 0xcauy; 0xd7uy; 0x3buy; 0xc2uy; 0x6cuy; 0x49uy; 0x2fuy; 0xe5uy; 0xd5uy; 0x03uy; 0x59uy; 0x84uy; 0x53uy; 0xcbuy; 0xfeuy; 0x92uy; 0x71uy; 0x2euy; 0x7cuy; 0x21uy; 0xccuy; 0x99uy; 0x85uy; 0x7fuy; 0xb8uy; 0x74uy; 0x90uy; 0x13uy; 0x42uy; 0x3fuy; 0xe0uy; 0x6buy; 0x1duy; 0xf2uy; 0x4duy; 0x54uy; 0xd4uy; 0xfcuy; 0x3auy; 0x05uy; 0xe6uy; 0x74uy; 0xafuy; 0xa6uy; 0xa0uy; 0x2auy; 0x20uy; 0x23uy; 0x5duy; 0x34uy; 0x5cuy; 0xd9uy; 0x3euy; 0x4euy; 0xfauy; 0x93uy; 0xe7uy; 0xaauy; 0xe9uy; 0x6fuy; 0x08uy; 0x43uy; 0x67uy; 0x41uy; 0xc5uy; 0xaduy; 0xfbuy; 0x31uy; 0x95uy; 0x82uy; 0x73uy; 0x32uy; 0xd8uy; 0xa6uy; 0xa3uy; 0xeduy; 0x0euy; 0x2duy; 0xf6uy; 0x5fuy; 0xfduy; 0x80uy; 0xa6uy; 0x7auy; 0xe0uy; 0xdfuy; 0x78uy; 0x15uy; 0x29uy; 0x74uy; 0x33uy; 0xd0uy; 0x9euy; 0x83uy; 0x86uy; 0x72uy; 0x22uy; 0x57uy; 0x29uy; 0xb9uy; 0x9euy; 0x5duy; 0xd3uy; 0x1auy; 0xb5uy; 0x96uy; 0x72uy; 0x41uy; 0x3duy; 0xf1uy; 0x64uy; 0x43uy; 0x67uy; 0xeeuy; 0xaauy; 0x5cuy; 0xd3uy; 0x9auy; 0x96uy; 0x13uy; 0x11uy; 0x5duy; 0xf3uy; 0x0cuy; 0x87uy; 0x82uy; 0x1euy; 0x41uy; 0x9euy; 0xd0uy; 0x27uy; 0xd7uy; 0x54uy; 0x3buy; 0x67uy; 0x73uy; 0x09uy; 0x91uy; 0xe9uy; 0xd5uy; 0x36uy; 0xa7uy; 0xb5uy; 0x55uy; 0xe4uy; 0xf3uy; 0x21uy; 0x51uy; 0x49uy; 0x22uy; 0x07uy; 0x55uy; 0x4fuy; 0x44uy; 0x4buy; 0xd2uy; 0x15uy; 0x93uy; 0x17uy; 0x2auy; 0xfauy; 0x4duy; 0x4auy; 0x57uy; 0xdbuy; 0x4cuy; 0xa6uy; 0xebuy; 0xecuy; 0x53uy; 0x25uy; 0x6cuy; 0x21uy; 0xeduy; 0x00uy; 0x4cuy; 0x3buy; 0xcauy; 0x14uy; 0x57uy; 0xa9uy; 0xd6uy; 0x6auy; 0xcduy; 0x8duy; 0x5euy; 0x74uy; 0xacuy; 0x72uy; 0xc1uy; 0x97uy; 0xe5uy; 0x1buy; 0x45uy; 0x4euy; 0xdauy; 0xfcuy; 0xccuy; 0x40uy; 0xe8uy; 0x48uy; 0x88uy; 0x0buy; 0xa3uy; 0xe3uy; 0x8duy; 0x83uy; 0x42uy; 0xc3uy; 0x23uy; 0xfduy; 0x68uy; 0xb5uy; 0x8euy; 0xf1uy; 0x9duy; 0x63uy; 0x77uy; 0xe9uy; 0xa3uy; 0x8euy; 0x8cuy; 0x26uy; 0x6buy; 0xbduy; 0x72uy; 0x73uy; 0x35uy; 0x0cuy; 0x03uy; 0xf8uy; 0x43uy; 0x78uy; 0x52uy; 0x71uy; 0x15uy; 0x1fuy; 0x71uy; 0x5duy; 0x6euy; 0xeduy; 0xb9uy; 0xccuy; 0x86uy; 0x30uy; 0xdbuy; 0x2buy; 0xd3uy; 0x82uy; 0x88uy; 0x23uy; 0x71uy; 0x90uy; 0x53uy; 0x5cuy; 0xa9uy; 0x2fuy; 0x76uy; 0x01uy; 0xb7uy; 0x9auy; 0xfeuy; 0x43uy; 0x55uy; 0xa3uy; 0x04uy; 0x9buy; 0x0euy; 0xe4uy; 0x59uy; 0xdfuy; 0xc9uy; 0xe9uy; 0xb1uy; 0xeauy; 0x29uy; 0x28uy; 0x3cuy; 0x5cuy; 0xaeuy; 0x72uy; 0x84uy; 0xb6uy; 0xc6uy; 0xebuy; 0x0cuy; 0x27uy; 0x07uy; 0x74uy; 0x90uy; 0x0duy; 0x31uy; 0xb0uy; 0x00uy; 0x77uy; 0xe9uy; 0x40uy; 0x70uy; 0x6fuy; 0x68uy; 0xa7uy; 0xfduy; 0x06uy; 0xecuy; 0x4buy; 0xc0uy; 0xb7uy; 0xacuy; 0xbcuy; 0x33uy; 0xb7uy; 0x6duy; 0x0auy; 0xbduy; 0x12uy; 0x1buy; 0x59uy; 0xcbuy; 0xdduy; 0x32uy; 0xf5uy; 0x1duy; 0x94uy; 0x57uy; 0x76uy; 0x9euy; 0x0cuy; 0x18uy; 0x98uy; 0x71uy; 0xd7uy; 0x2auy; 0xdbuy; 0x0buy; 0x7buy; 0xa7uy; 0x71uy; 0xb7uy; 0x67uy; 0x81uy; 0x23uy; 0x96uy; 0xaeuy; 0xb9uy; 0x7euy; 0x32uy; 0x43uy; 0x92uy; 0x8auy; 0x19uy; 0xa0uy; 0xc4uy; 0xd4uy; 0x3buy; 0x57uy; 0xf9uy; 0x4auy; 0x2cuy; 0xfbuy; 0x51uy; 0x46uy; 0xbbuy; 0xcbuy; 0x5duy; 0xb3uy; 0xefuy; 0x13uy; 0x93uy; 0x6euy; 0x68uy; 0x42uy; 0x54uy; 0x57uy; 0xd3uy; 0x6auy; 0x3auy; 0x8fuy; 0x9duy; 0x66uy; 0xbfuy; 0xbduy; 0x36uy; 0x23uy; 0xf5uy; 0x93uy; 0x83uy; 0x7buy; 0x9cuy; 0xc0uy; 0xdduy; 0xc5uy; 0x49uy; 0xc0uy; 0x64uy; 0xeduy; 0x07uy; 0x12uy; 0xb3uy; 0xe6uy; 0xe4uy; 0xe5uy; 0x38uy; 0x95uy; 0x23uy; 0xb1uy; 0xa0uy; 0x3buy; 0x1auy; 0x61uy; 0xdauy; 0x17uy; 0xacuy; 0xc3uy; 0x58uy; 0xdduy; 0x74uy; 0x64uy; 0x22uy; 0x11uy; 0xe8uy; 0x32uy; 0x1duy; 0x16uy; 0x93uy; 0x85uy; 0x99uy; 0xa5uy; 0x9cuy; 0x34uy; 0x55uy; 0xb1uy; 0xe9uy; 0x20uy; 0x72uy; 0xc9uy; 0x28uy; 0x7buy; 0x79uy; 0x00uy; 0xa1uy; 0xa6uy; 0xa3uy; 0x27uy; 0x40uy; 0x18uy; 0x8auy; 0x54uy; 0xe0uy; 0xccuy; 0xe8uy; 0x4euy; 0x8euy; 0x43uy; 0x96uy; 0xe7uy; 0x3fuy; 0xc8uy; 0xe9uy; 0xb2uy; 0xf9uy; 0xc9uy; 0xdauy; 0x04uy; 0x71uy; 0x50uy; 0x47uy; 0xe4uy; 0xaauy; 0xceuy; 0xa2uy; 0x30uy; 0xc8uy; 0xe4uy; 0xacuy; 0xc7uy; 0x0duy; 0x06uy; 0x2euy; 0xe6uy; 0xe8uy; 0x80uy; 0x36uy; 0x29uy; 0x9euy; 0x01uy; 0xb8uy; 0xc3uy; 0xf0uy; 0xa0uy; 0x5duy; 0x7auy; 0xcauy; 0x4duy; 0xa0uy; 0x57uy; 0xbduy; 0x2auy; 0x45uy; 0xa7uy; 0x7fuy; 0x9cuy; 0x93uy; 0x07uy; 0x8fuy; 0x35uy; 0x67uy; 0x92uy; 0xe3uy; 0xe9uy; 0x7fuy; 0xa8uy; 0x61uy; 0x43uy; 0x9euy; 0x25uy; 0x4fuy; 0x33uy; 0x76uy; 0x13uy; 0x6euy; 0x12uy; 0xb9uy; 0xdduy; 0xa4uy; 0x7cuy; 0x08uy; 0x9fuy; 0x7cuy; 0xe7uy; 0x0auy; 0x8duy; 0x84uy; 0x06uy; 0xa4uy; 0x33uy; 0x17uy; 0x34uy; 0x5euy; 0x10uy; 0x7cuy; 0xc0uy; 0xa8uy; 0x3duy; 0x1fuy; 0x42uy; 0x20uy; 0x51uy; 0x65uy; 0x5duy; 0x09uy; 0xc3uy; 0xaauy; 0xc0uy; 0xc8uy; 0x0duy; 0xf0uy; 0x79uy; 0xbcuy; 0x20uy; 0x1buy; 0x95uy; 0xe7uy; 0x06uy; 0x7duy; 0x47uy; 0x20uy; 0x03uy; 0x1auy; 0x74uy; 0xdduy; 0xe2uy; 0xd4uy; 0xaeuy; 0x38uy; 0x71uy; 0x9buy; 0xf5uy; 0x80uy; 0xecuy; 0x08uy; 0x4euy; 0x56uy; 0xbauy; 0x76uy; 0x12uy; 0x1auy; 0xdfuy; 0x48uy; 0xf3uy; 0xaeuy; 0xb3uy; 0xe6uy; 0xe6uy; 0xbeuy; 0xc0uy; 0x91uy; 0x2euy; 0x01uy; 0xb3uy; 0x01uy; 0x86uy; 0xa2uy; 0xb9uy; 0x52uy; 0xd1uy; 0x21uy; 0xaeuy; 0xd4uy; 0x97uy; 0x1duy; 0xefuy; 0x41uy; 0x12uy; 0x95uy; 0x3duy; 0x48uy; 0x45uy; 0x1cuy; 0x56uy; 0x32uy; 0x8fuy; 0xb8uy; 0x43uy; 0xbbuy; 0x19uy; 0xf3uy; 0xcauy; 0xe9uy; 0xebuy; 0x6duy; 0x84uy; 0xbeuy; 0x86uy; 0x06uy; 0xe2uy; 0x36uy; 0xb2uy; 0x62uy; 0x9duy; 0xd3uy; 0x4cuy; 0x48uy; 0x18uy; 0x54uy; 0x13uy; 0x4euy; 0xcfuy; 0xfduy; 0xbauy; 0x84uy; 0xb9uy; 0x30uy; 0x53uy; 0xcfuy; 0xfbuy; 0xb9uy; 0x29uy; 0x8fuy; 0xdcuy; 0x9fuy; 0xefuy; 0x60uy; 0x0buy; 0x64uy; 0xf6uy; 0x8buy; 0xeeuy; 0xa6uy; 0x91uy; 0xc2uy; 0x41uy; 0x6cuy; 0xf6uy; 0xfauy; 0x79uy; 0x67uy; 0x4buy; 0xc1uy; 0x3fuy; 0xafuy; 0x09uy; 0x81uy; 0xd4uy; 0x5duy; 0xcbuy; 0x09uy; 0xdfuy; 0x36uy; 0x31uy; 0xc0uy; 0x14uy; 0x3cuy; 0x7cuy; 0x0euy; 0x65uy; 0x95uy; 0x99uy; 0x6duy; 0xa3uy; 0xf4uy; 0xd7uy; 0x38uy; 0xeeuy; 0x1auy; 0x2buy; 0x37uy; 0xe2uy; 0xa4uy; 0x3buy; 0x4buy; 0xd0uy; 0x65uy; 0xcauy; 0xf8uy; 0xc3uy; 0xe8uy; 0x15uy; 0x20uy; 0xefuy; 0xf2uy; 0x00uy; 0xfduy; 0x01uy; 0x09uy; 0xc5uy; 0xc8uy; 0x17uy; 0x04uy; 0x93uy; 0xd0uy; 0x93uy; 0x03uy; 0x55uy; 0xc5uy; 0xfeuy; 0x32uy; 0xa3uy; 0x3euy; 0x28uy; 0x2duy; 0x3buy; 0x93uy; 0x8auy; 0xccuy; 0x07uy; 0x72uy; 0x80uy; 0x8buy; 0x74uy; 0x16uy; 0x24uy; 0xbbuy; 0xdauy; 0x94uy; 0x39uy; 0x30uy; 0x8fuy; 0xb1uy; 0xcduy; 0x4auy; 0x90uy; 0x92uy; 0x7cuy; 0x14uy; 0x8fuy; 0x95uy; 0x4euy; 0xacuy; 0x9buy; 0xd8uy; 0x8fuy; 0x1auy; 0x87uy; 0xa4uy; 0x32uy; 0x27uy; 0x8auy; 0xbauy; 0xf7uy; 0x41uy; 0xcfuy; 0x84uy; 0x37uy; 0x19uy; 0xe6uy; 0x06uy; 0xf5uy; 0x0euy; 0xcfuy; 0x36uy; 0xf5uy; 0x9euy; 0x6cuy; 0xdeuy; 0xbcuy; 0xffuy; 0x64uy; 0x7euy; 0x4euy; 0x59uy; 0x57uy; 0x48uy; 0xfeuy; 0x14uy; 0xf7uy; 0x9cuy; 0x93uy; 0x5duy; 0x15uy; 0xaduy; 0xccuy; 0x11uy; 0xb1uy; 0x17uy; 0x18uy; 0xb2uy; 0x7euy; 0xccuy; 0xabuy; 0xe9uy; 0xceuy; 0x7duy; 0x77uy; 0x5buy; 0x51uy; 0x1buy; 0x1euy; 0x20uy; 0xa8uy; 0x32uy; 0x06uy; 0x0euy; 0x75uy; 0x93uy; 0xacuy; 0xdbuy; 0x35uy; 0x37uy; 0x1fuy; 0xe9uy; 0x19uy; 0x1duy; 0xb4uy; 0x71uy; 0x97uy; 0xd6uy; 0x4euy; 0x2cuy; 0x08uy; 0xa5uy; 0x13uy; 0xf9uy; 0x0euy; 0x7euy; 0x78uy; 0x6euy; 0x14uy; 0xe0uy; 0xa9uy; 0xb9uy; 0x96uy; 0x4cuy; 0x80uy; 0x82uy; 0xbauy; 0x17uy; 0xb3uy; 0x9duy; 0x69uy; 0xb0uy; 0x84uy; 0x46uy; 0xffuy; 0xf9uy; 0x52uy; 0x79uy; 0x94uy; 0x58uy; 0x3auy; 0x62uy; 0x90uy; 0x15uy; 0x35uy; 0x71uy; 0x10uy; 0x37uy; 0xeduy; 0xa1uy; 0x8euy; 0x53uy; 0x6euy; 0xf4uy; 0x26uy; 0x57uy; 0x93uy; 0x15uy; 0x93uy; 0xf6uy; 0x81uy; 0x2cuy; 0x5auy; 0x10uy; 0xdauy; 0x92uy; 0xaduy; 0x2fuy; 0xdbuy; 0x28uy; 0x31uy; 0x2duy; 0x55uy; 0x04uy; 0xd2uy; 0x06uy; 0x28uy; 0x8cuy; 0x1euy; 0xdcuy; 0xeauy; 0x54uy; 0xacuy; 0xffuy; 0xb7uy; 0x6cuy; 0x30uy; 0x15uy; 0xd4uy; 0xb4uy; 0x0duy; 0x00uy; 0x93uy; 0x57uy; 0xdduy; 0xd2uy; 0x07uy; 0x07uy; 0x06uy; 0xd9uy; 0x43uy; 0x9buy; 0xcduy; 0x3auy; 0xf4uy; 0x7duy; 0x4cuy; 0x36uy; 0x5duy; 0x23uy; 0xa2uy; 0xccuy; 0x57uy; 0x40uy; 0x91uy; 0xe9uy; 0x2cuy; 0x2fuy; 0x2cuy; 0xd5uy; 0x30uy; 0x9buy; 0x17uy; 0xb0uy; 0xc9uy; 0xf7uy; 0xa7uy; 0x2fuy; 0xd1uy; 0x93uy; 0x20uy; 0x6buy; 0xc6uy; 0xc1uy; 0xe4uy; 0x6fuy; 0xcbuy; 0xd1uy; 0xe7uy; 0x09uy; 0x0fuy; 0x9euy; 0xdcuy; 0xaauy; 0x9fuy; 0x2fuy; 0xdfuy; 0x56uy; 0x9fuy; 0xd4uy; 0x33uy; 0x04uy; 0xafuy; 0xd3uy; 0x6cuy; 0x58uy; 0x61uy; 0xf0uy; 0x30uy; 0xecuy; 0xf2uy; 0x7fuy; 0xf2uy; 0x9cuy; 0xdfuy; 0x39uy; 0xbbuy; 0x6fuy; 0xa2uy; 0x8cuy; 0x7euy; 0xc4uy; 0x22uy; 0x51uy; 0x71uy; 0xc0uy; 0x4duy; 0x14uy; 0x1auy; 0xc4uy; 0xcduy; 0x04uy; 0xd9uy; 0x87uy; 0x08uy; 0x50uy; 0x05uy; 0xccuy; 0xafuy; 0xf6uy; 0xf0uy; 0x8fuy; 0x92uy; 0x54uy; 0x58uy; 0xc2uy; 0xc7uy; 0x09uy; 0x7auy; 0x59uy; 0x02uy; 0x05uy; 0xe8uy; 0xb0uy; 0x86uy; 0xd9uy; 0xbfuy; 0x7buy; 0x35uy; 0x51uy; 0x4duy; 0xafuy; 0x08uy; 0x97uy; 0x2cuy; 0x65uy; 0xdauy; 0x2auy; 0x71uy; 0x3auy; 0xa8uy; 0x51uy; 0xccuy; 0xf2uy; 0x73uy; 0x27uy; 0xc3uy; 0xfduy; 0x62uy; 0xcfuy; 0xe3uy; 0xb2uy; 0xcauy; 0xcbuy; 0xbeuy; 0x1auy; 0x0auy; 0xa1uy; 0x34uy; 0x7buy; 0x77uy; 0xc4uy; 0x62uy; 0x68uy; 0x78uy; 0x5fuy; 0x94uy; 0x07uy; 0x04uy; 0x65uy; 0x16uy; 0x4buy; 0x61uy; 0xcbuy; 0xffuy; 0x75uy; 0x26uy; 0x50uy; 0x66uy; 0x1fuy; 0x6euy; 0x93uy; 0xf8uy; 0xc5uy; 0x51uy; 0xebuy; 0xa4uy; 0x4auy; 0x48uy; 0x68uy; 0x6buy; 0xe2uy; 0x5euy; 0x44uy; 0xb2uy; 0x50uy; 0x2cuy; 0x6cuy; 0xaeuy; 0x79uy; 0x4euy; 0x66uy; 0x35uy; 0x81uy; 0x50uy; 0xacuy; 0xbcuy; 0x3fuy; 0xb1uy; 0x0cuy; 0xf3uy; 0x05uy; 0x3cuy; 0x4auy; 0xa3uy; 0x6cuy; 0x2auy; 0x79uy; 0xb4uy; 0xb7uy; 0xabuy; 0xcauy; 0xc7uy; 0x9buy; 0x8euy; 0xcduy; 0x5fuy; 0x11uy; 0x03uy; 0xcbuy; 0x30uy; 0xa3uy; 0xabuy; 0xdauy; 0xfeuy; 0x64uy; 0xb9uy; 0xbbuy; 0xd8uy; 0x5euy; 0x3auy; 0x1auy; 0x56uy; 0xe5uy; 0x05uy; 0x48uy; 0x90uy; 0x1euy; 0x61uy; 0x69uy; 0x1buy; 0x22uy; 0xe6uy; 0x1auy; 0x3cuy; 0x75uy; 0xaduy; 0x1fuy; 0x37uy; 0x28uy; 0xdcuy; 0xe4uy; 0x6duy; 0xbduy; 0x42uy; 0xdcuy; 0xd3uy; 0xc8uy; 0xb6uy; 0x1cuy; 0x48uy; 0xfeuy; 0x94uy; 0x77uy; 0x7fuy; 0xbduy; 0x62uy; 0xacuy; 0xa3uy; 0x47uy; 0x27uy; 0xcfuy; 0x5fuy; 0xd9uy; 0xdbuy; 0xafuy; 0xecuy; 0xf7uy; 0x5euy; 0xc1uy; 0xb0uy; 0x9duy; 0x01uy; 0x26uy; 0x99uy; 0x7euy; 0x8fuy; 0x03uy; 0x70uy; 0xb5uy; 0x42uy; 0xbeuy; 0x67uy; 0x28uy; 0x1buy; 0x7cuy; 0xbduy; 0x61uy; 0x21uy; 0x97uy; 0xccuy; 0x5cuy; 0xe1uy; 0x97uy; 0x8fuy; 0x8duy; 0xdeuy; 0x2buy; 0xaauy; 0xa7uy; 0x71uy; 0x1duy; 0x1euy; 0x02uy; 0x73uy; 0x70uy; 0x58uy; 0x32uy; 0x5buy; 0x1duy; 0x67uy; 0x3duy; 0xe0uy; 0x74uy; 0x4fuy; 0x03uy; 0xf2uy; 0x70uy; 0x51uy; 0x79uy; 0xf1uy; 0x61uy; 0x70uy; 0x15uy; 0x74uy; 0x9duy; 0x23uy; 0x89uy; 0xdeuy; 0xacuy; 0xfduy; 0xdeuy; 0xd0uy; 0x1fuy; 0xc3uy; 0x87uy; 0x44uy; 0x35uy; 0x4buy; 0xe5uy; 0xb0uy; 0x60uy; 0xc5uy; 0x22uy; 0xe4uy; 0x9euy; 0xcauy; 0xebuy; 0xd5uy; 0x3auy; 0x09uy; 0x45uy; 0xa4uy; 0xdbuy; 0xfauy; 0x3fuy; 0xebuy; 0x1buy; 0xc7uy; 0xc8uy; 0x14uy; 0x99uy; 0x51uy; 0x92uy; 0x10uy; 0xeduy; 0xeduy; 0x28uy; 0xe0uy; 0xa1uy; 0xf8uy; 0x26uy; 0xcfuy; 0xcduy; 0xcbuy; 0x63uy; 0xa1uy; 0x3buy; 0xe3uy; 0xdfuy; 0x7euy; 0xfeuy; 0xa6uy; 0xf0uy; 0x81uy; 0x9auy; 0xbfuy; 0x55uy; 0xdeuy; 0x54uy; 0xd5uy; 0x56uy; 0x60uy; 0x98uy; 0x10uy; 0x68uy; 0xf4uy; 0x38uy; 0x96uy; 0x8euy; 0x6fuy; 0x1duy; 0x44uy; 0x7fuy; 0xd6uy; 0x2fuy; 0xfeuy; 0x55uy; 0xfbuy; 0x0cuy; 0x7euy; 0x67uy; 0xe2uy; 0x61uy; 0x44uy; 0xeduy; 0xf2uy; 0x35uy; 0x30uy; 0x5duy; 0xe9uy; 0xc7uy; 0xd6uy; 0x6duy; 0xe0uy; 0xa0uy; 0xeduy; 0xf3uy; 0xfcuy; 0xd8uy; 0x3euy; 0x0auy; 0x7buy; 0xcduy; 0xafuy; 0x65uy; 0x68uy; 0x18uy; 0xc0uy; 0xecuy; 0x04uy; 0x1cuy; 0x74uy; 0x6duy; 0xe2uy; 0x6euy; 0x79uy; 0xd4uy; 0x11uy; 0x2buy; 0x62uy; 0xd5uy; 0x27uy; 0xaduy; 0x4fuy; 0x01uy; 0x59uy; 0x73uy; 0xccuy; 0x6auy; 0x53uy; 0xfbuy; 0x2duy; 0xd5uy; 0x4euy; 0x99uy; 0x21uy; 0x65uy; 0x4duy; 0xf5uy; 0x82uy; 0xf7uy; 0xd8uy; 0x42uy; 0xceuy; 0x6fuy; 0x3duy; 0x36uy; 0x47uy; 0xf1uy; 0x05uy; 0x16uy; 0xe8uy; 0x1buy; 0x6auy; 0x8fuy; 0x93uy; 0xf2uy; 0x8fuy; 0x37uy; 0x40uy; 0x12uy; 0x28uy; 0xa3uy; 0xe6uy; 0xb9uy; 0x17uy; 0x4auy; 0x1fuy; 0xb1uy; 0xd1uy; 0x66uy; 0x69uy; 0x86uy; 0xc4uy; 0xfcuy; 0x97uy; 0xaeuy; 0x3fuy; 0x8fuy; 0x1euy; 0x2buy; 0xdfuy; 0xcduy; 0xf9uy; 0x3cuy; ] in assert_norm (List.Tot.length l = 1949); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output10_len: (x:UInt32.t { UInt32.v x = B.length output10 }) = 1949ul let key11: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xb3uy; 0x35uy; 0x50uy; 0x03uy; 0x54uy; 0x2euy; 0x40uy; 0x5euy; 0x8fuy; 0x59uy; 0x8euy; 0xc5uy; 0x90uy; 0xd5uy; 0x27uy; 0x2duy; 0xbauy; 0x29uy; 0x2euy; 0xcbuy; 0x1buy; 0x70uy; 0x44uy; 0x1euy; 0x65uy; 0x91uy; 0x6euy; 0x2auy; 0x79uy; 0x22uy; 0xdauy; 0x64uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key11_len: (x:UInt32.t { UInt32.v x = B.length key11 }) = 32ul let nonce11: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x05uy; 0xa3uy; 0x93uy; 0xeduy; 0x30uy; 0xc5uy; 0xa2uy; 0x06uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce11_len: (x:UInt32.t { UInt32.v x = B.length nonce11 }) = 12ul
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: LowStar.Buffer.buffer FStar.UInt8.t {LowStar.Monotonic.Buffer.length b = 63 /\ LowStar.Monotonic.Buffer.recallable b}
Prims.Tot
[ "total" ]
[]
[ "LowStar.Buffer.gcmalloc_of_list", "FStar.UInt8.t", "FStar.Monotonic.HyperHeap.root", "LowStar.Monotonic.Buffer.mbuffer", "LowStar.Buffer.trivial_preorder", "Prims.l_and", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "FStar.Pervasives.normalize_term", "FStar.List.Tot.Base.length", "Prims.b2t", "Prims.op_Negation", "LowStar.Monotonic.Buffer.g_is_null", "FStar.Monotonic.HyperHeap.rid", "LowStar.Monotonic.Buffer.frameOf", "LowStar.Monotonic.Buffer.recallable", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.buffer", "Prims.list", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil" ]
[]
false
false
false
false
false
let aad11:(b: B.buffer UInt8.t {B.length b = 63 /\ B.recallable b}) =
[@@ inline_let ]let l = [ 0xb1uy; 0x69uy; 0x83uy; 0x87uy; 0x30uy; 0xaauy; 0x5duy; 0xb8uy; 0x77uy; 0xe8uy; 0x21uy; 0xffuy; 0x06uy; 0x59uy; 0x35uy; 0xceuy; 0x75uy; 0xfeuy; 0x38uy; 0xefuy; 0xb8uy; 0x91uy; 0x43uy; 0x8cuy; 0xcfuy; 0x70uy; 0xdduy; 0x0auy; 0x68uy; 0xbfuy; 0xd4uy; 0xbcuy; 0x16uy; 0x76uy; 0x99uy; 0x36uy; 0x1euy; 0x58uy; 0x79uy; 0x5euy; 0xd4uy; 0x29uy; 0xf7uy; 0x33uy; 0x93uy; 0x48uy; 0xdbuy; 0x5fuy; 0x01uy; 0xaeuy; 0x9cuy; 0xb6uy; 0xe4uy; 0x88uy; 0x6duy; 0x2buy; 0x76uy; 0x75uy; 0xe0uy; 0xf3uy; 0x74uy; 0xe2uy; 0xc9uy ] in assert_norm (List.Tot.length l = 63); B.gcmalloc_of_list HyperStack.root l
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.tup64_wide_fits5
val tup64_wide_fits5 : f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> m: Hacl.Spec.Poly1305.Field32xN.scale64_5 -> Prims.logical
let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 24, "end_line": 93, "start_col": 0, "start_line": 86 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> m: Hacl.Spec.Poly1305.Field32xN.scale64_5 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Hacl.Spec.Poly1305.Field32xN.scale64_5", "Lib.IntTypes.uint64", "Prims.nat", "Prims.l_and", "Prims.b2t", "Hacl.Spec.Poly1305.Field32xN.tup64_wide_fits1", "Prims.logical" ]
[]
false
false
false
true
true
let tup64_wide_fits5 (f: tup64_5) (m: scale64_5) =
let x0, x1, x2, x3, x4 = f in let m0, m1, m2, m3, m4 = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.uint64xN
val uint64xN : w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
let uint64xN (w:lanes) = vec_t U64 w
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 36, "end_line": 108, "start_col": 0, "start_line": 108 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4}
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
w: Hacl.Spec.Poly1305.Field32xN.lanes -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.IntVector.vec_t", "Lib.IntTypes.U64" ]
[]
false
false
false
true
true
let uint64xN (w: lanes) =
vec_t U64 w
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.tup64_fits5
val tup64_fits5 : f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Prims.logical
let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 19, "end_line": 84, "start_col": 0, "start_line": 77 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Lib.IntTypes.uint64", "Prims.nat", "Prims.l_and", "Prims.b2t", "Hacl.Spec.Poly1305.Field32xN.tup64_fits1", "Prims.logical" ]
[]
false
false
false
true
true
let tup64_fits5 (f: tup64_5) (m: scale32_5) =
let x0, x1, x2, x3, x4 = f in let m0, m1, m2, m3, m4 = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.mul_felem5
val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w
val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w
let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 18, "end_line": 287, "start_col": 0, "start_line": 281 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f1: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r5: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem_wide5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.smul_add_felem5", "Hacl.Spec.Poly1305.Field32xN.smul_felem5" ]
[]
false
false
false
false
false
let mul_felem5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) =
let a0, a1, a2, a3, a4 = smul_felem5 #w f10 (r0, r1, r2, r3, r4) in let a0, a1, a2, a3, a4 = smul_add_felem5 #w f11 (r54, r0, r1, r2, r3) (a0, a1, a2, a3, a4) in let a0, a1, a2, a3, a4 = smul_add_felem5 #w f12 (r53, r54, r0, r1, r2) (a0, a1, a2, a3, a4) in let a0, a1, a2, a3, a4 = smul_add_felem5 #w f13 (r52, r53, r54, r0, r1) (a0, a1, a2, a3, a4) in let a0, a1, a2, a3, a4 = smul_add_felem5 #w f14 (r51, r52, r53, r54, r0) (a0, a1, a2, a3, a4) in (a0, a1, a2, a3, a4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.reduce_felem5
val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w
val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w
let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 34, "end_line": 346, "start_col": 0, "start_line": 343 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.subtract_p5", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.carry_full_felem5" ]
[]
false
false
false
false
false
let reduce_felem5 #w (f0, f1, f2, f3, f4) =
let f0, f1, f2, f3, f4 = carry_full_felem5 (f0, f1, f2, f3, f4) in let f0, f1, f2, f3, f4 = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.as_pfelem5
val as_pfelem5 (f: tup64_5) : pfelem
val as_pfelem5 (f: tup64_5) : pfelem
let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 21, "end_line": 103, "start_col": 0, "start_line": 102 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> Hacl.Spec.Poly1305.Vec.pfelem
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Prims.op_Modulus", "Hacl.Spec.Poly1305.Field32xN.as_nat5", "Hacl.Spec.Poly1305.Vec.prime", "Hacl.Spec.Poly1305.Vec.pfelem" ]
[]
false
false
false
true
false
let as_pfelem5 (f: tup64_5) : pfelem =
(as_nat5 f) % prime
false
Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.vectors
val vectors:(b: B.buffer vector {B.length b = 12 /\ B.recallable b})
val vectors:(b: B.buffer vector {B.length b = 12 /\ B.recallable b})
let vectors: (b: B.buffer vector { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ Vector output0 output0_len input0 input0_len aad0 aad0_len nonce0 nonce0_len key0 key0_len ; Vector output1 output1_len input1 input1_len aad1 aad1_len nonce1 nonce1_len key1 key1_len ; Vector output2 output2_len input2 input2_len aad2 aad2_len nonce2 nonce2_len key2 key2_len ; Vector output3 output3_len input3 input3_len aad3 aad3_len nonce3 nonce3_len key3 key3_len ; Vector output4 output4_len input4 input4_len aad4 aad4_len nonce4 nonce4_len key4 key4_len ; Vector output5 output5_len input5 input5_len aad5 aad5_len nonce5 nonce5_len key5 key5_len ; Vector output6 output6_len input6 input6_len aad6 aad6_len nonce6 nonce6_len key6 key6_len ; Vector output7 output7_len input7 input7_len aad7 aad7_len nonce7 nonce7_len key7 key7_len ; Vector output8 output8_len input8 input8_len aad8 aad8_len nonce8 nonce8_len key8 key8_len ; Vector output9 output9_len input9 input9_len aad9 aad9_len nonce9 nonce9_len key9 key9_len ; Vector output10 output10_len input10 input10_len aad10 aad10_len nonce10 nonce10_len key10 key10_len ; Vector output11 output11_len input11 input11_len aad11 aad11_len nonce11 nonce11_len key11 key11_len ; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 517, "start_col": 0, "start_line": 501 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output0_len: (x:UInt32.t { UInt32.v x = B.length output0 }) = 281ul let key1: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4cuy; 0xf5uy; 0x96uy; 0x83uy; 0x38uy; 0xe6uy; 0xaeuy; 0x7fuy; 0x2duy; 0x29uy; 0x25uy; 0x76uy; 0xd5uy; 0x75uy; 0x27uy; 0x86uy; 0x91uy; 0x9auy; 0x27uy; 0x7auy; 0xfbuy; 0x46uy; 0xc5uy; 0xefuy; 0x94uy; 0x81uy; 0x79uy; 0x57uy; 0x14uy; 0x59uy; 0x40uy; 0x68uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key1_len: (x:UInt32.t { UInt32.v x = B.length key1 }) = 32ul let nonce1: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xcauy; 0xbfuy; 0x33uy; 0x71uy; 0x32uy; 0x45uy; 0x77uy; 0x8euy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce1_len: (x:UInt32.t { UInt32.v x = B.length nonce1 }) = 12ul let aad1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad1_len: (x:UInt32.t { UInt32.v x = B.length aad1 }) = 0ul let input1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad1 }) = B.recall aad1;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input1_len: (x:UInt32.t { UInt32.v x = B.length input1 }) = 0ul let output1: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xe0uy; 0x1euy; 0x9euy; 0x2cuy; 0x91uy; 0xaauy; 0xe1uy; 0xdbuy; 0x5duy; 0x99uy; 0x3fuy; 0x8auy; 0xf7uy; 0x69uy; 0x92uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output1_len: (x:UInt32.t { UInt32.v x = B.length output1 }) = 16ul let key2: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x2duy; 0xb0uy; 0x5duy; 0x40uy; 0xc8uy; 0xeduy; 0x44uy; 0x88uy; 0x34uy; 0xd1uy; 0x13uy; 0xafuy; 0x57uy; 0xa1uy; 0xebuy; 0x3auy; 0x2auy; 0x80uy; 0x51uy; 0x36uy; 0xecuy; 0x5buy; 0xbcuy; 0x08uy; 0x93uy; 0x84uy; 0x21uy; 0xb5uy; 0x13uy; 0x88uy; 0x3cuy; 0x0duy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key2_len: (x:UInt32.t { UInt32.v x = B.length key2 }) = 32ul let nonce2: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x3duy; 0x86uy; 0xb5uy; 0x6buy; 0xc8uy; 0xa3uy; 0x1fuy; 0x1duy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce2_len: (x:UInt32.t { UInt32.v x = B.length nonce2 }) = 12ul let aad2: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x33uy; 0x10uy; 0x41uy; 0x12uy; 0x1fuy; 0xf3uy; 0xd2uy; 0x6buy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad2_len: (x:UInt32.t { UInt32.v x = B.length aad2 }) = 8ul let input2: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad2 }) = B.recall aad2;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input2_len: (x:UInt32.t { UInt32.v x = B.length input2 }) = 0ul let output2: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xdduy; 0x6buy; 0x3buy; 0x82uy; 0xceuy; 0x5auy; 0xbduy; 0xd6uy; 0xa9uy; 0x35uy; 0x83uy; 0xd8uy; 0x8cuy; 0x3duy; 0x85uy; 0x77uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output2_len: (x:UInt32.t { UInt32.v x = B.length output2 }) = 16ul let key3: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4buy; 0x28uy; 0x4buy; 0xa3uy; 0x7buy; 0xbeuy; 0xe9uy; 0xf8uy; 0x31uy; 0x80uy; 0x82uy; 0xd7uy; 0xd8uy; 0xe8uy; 0xb5uy; 0xa1uy; 0xe2uy; 0x18uy; 0x18uy; 0x8auy; 0x9cuy; 0xfauy; 0xa3uy; 0x3duy; 0x25uy; 0x71uy; 0x3euy; 0x40uy; 0xbcuy; 0x54uy; 0x7auy; 0x3euy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key3_len: (x:UInt32.t { UInt32.v x = B.length key3 }) = 32ul let nonce3: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xd2uy; 0x32uy; 0x1fuy; 0x29uy; 0x28uy; 0xc6uy; 0xc4uy; 0xc4uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce3_len: (x:UInt32.t { UInt32.v x = B.length nonce3 }) = 12ul let aad3: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xe2uy; 0xaduy; 0x3fuy; 0x88uy; 0x39uy; 0x5auy; 0x40uy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad3_len: (x:UInt32.t { UInt32.v x = B.length aad3 }) = 8ul let input3: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad3 }) = B.recall aad3;[@inline_let] let l = [ 0xa4uy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input3_len: (x:UInt32.t { UInt32.v x = B.length input3 }) = 1ul let output3: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xb7uy; 0x1buy; 0xb0uy; 0x73uy; 0x59uy; 0xb0uy; 0x84uy; 0xb2uy; 0x6duy; 0x8euy; 0xabuy; 0x94uy; 0x31uy; 0xa1uy; 0xaeuy; 0xacuy; 0x89uy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output3_len: (x:UInt32.t { UInt32.v x = B.length output3 }) = 17ul let key4: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x66uy; 0xcauy; 0x9cuy; 0x23uy; 0x2auy; 0x4buy; 0x4buy; 0x31uy; 0x0euy; 0x92uy; 0x89uy; 0x8buy; 0xf4uy; 0x93uy; 0xc7uy; 0x87uy; 0x98uy; 0xa3uy; 0xd8uy; 0x39uy; 0xf8uy; 0xf4uy; 0xa7uy; 0x01uy; 0xc0uy; 0x2euy; 0x0auy; 0xa6uy; 0x7euy; 0x5auy; 0x78uy; 0x87uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key4_len: (x:UInt32.t { UInt32.v x = B.length key4 }) = 32ul let nonce4: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x20uy; 0x1cuy; 0xaauy; 0x5fuy; 0x9cuy; 0xbfuy; 0x92uy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce4_len: (x:UInt32.t { UInt32.v x = B.length nonce4 }) = 12ul let aad4: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad4_len: (x:UInt32.t { UInt32.v x = B.length aad4 }) = 0ul let input4: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad4 }) = B.recall aad4;[@inline_let] let l = [ 0x2duy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input4_len: (x:UInt32.t { UInt32.v x = B.length input4 }) = 1ul let output4: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xbfuy; 0xe1uy; 0x5buy; 0x0buy; 0xdbuy; 0x6buy; 0xf5uy; 0x5euy; 0x6cuy; 0x5duy; 0x84uy; 0x44uy; 0x39uy; 0x81uy; 0xc1uy; 0x9cuy; 0xacuy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output4_len: (x:UInt32.t { UInt32.v x = B.length output4 }) = 17ul let key5: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x68uy; 0x7buy; 0x8duy; 0x8euy; 0xe3uy; 0xc4uy; 0xdduy; 0xaeuy; 0xdfuy; 0x72uy; 0x7fuy; 0x53uy; 0x72uy; 0x25uy; 0x1euy; 0x78uy; 0x91uy; 0xcbuy; 0x69uy; 0x76uy; 0x1fuy; 0x49uy; 0x93uy; 0xf9uy; 0x6fuy; 0x21uy; 0xccuy; 0x39uy; 0x9cuy; 0xaduy; 0xb1uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key5_len: (x:UInt32.t { UInt32.v x = B.length key5 }) = 32ul let nonce5: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdfuy; 0x51uy; 0x84uy; 0x82uy; 0x42uy; 0x0cuy; 0x75uy; 0x9cuy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce5_len: (x:UInt32.t { UInt32.v x = B.length nonce5 }) = 12ul let aad5: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0x70uy; 0xd3uy; 0x33uy; 0xf3uy; 0x8buy; 0x18uy; 0x0buy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad5_len: (x:UInt32.t { UInt32.v x = B.length aad5 }) = 7ul let input5: (b: B.buffer UInt8.t { B.length b = 129 /\ B.recallable b /\ B.disjoint b aad5 }) = B.recall aad5;[@inline_let] let l = [ 0x33uy; 0x2fuy; 0x94uy; 0xc1uy; 0xa4uy; 0xefuy; 0xccuy; 0x2auy; 0x5buy; 0xa6uy; 0xe5uy; 0x8fuy; 0x1duy; 0x40uy; 0xf0uy; 0x92uy; 0x3cuy; 0xd9uy; 0x24uy; 0x11uy; 0xa9uy; 0x71uy; 0xf9uy; 0x37uy; 0x14uy; 0x99uy; 0xfauy; 0xbeuy; 0xe6uy; 0x80uy; 0xdeuy; 0x50uy; 0xc9uy; 0x96uy; 0xd4uy; 0xb0uy; 0xecuy; 0x9euy; 0x17uy; 0xecuy; 0xd2uy; 0x5euy; 0x72uy; 0x99uy; 0xfcuy; 0x0auy; 0xe1uy; 0xcbuy; 0x48uy; 0xd2uy; 0x85uy; 0xdduy; 0x2fuy; 0x90uy; 0xe0uy; 0x66uy; 0x3buy; 0xe6uy; 0x20uy; 0x74uy; 0xbeuy; 0x23uy; 0x8fuy; 0xcbuy; 0xb4uy; 0xe4uy; 0xdauy; 0x48uy; 0x40uy; 0xa6uy; 0xd1uy; 0x1buy; 0xc7uy; 0x42uy; 0xceuy; 0x2fuy; 0x0cuy; 0xa6uy; 0x85uy; 0x6euy; 0x87uy; 0x37uy; 0x03uy; 0xb1uy; 0x7cuy; 0x25uy; 0x96uy; 0xa3uy; 0x05uy; 0xd8uy; 0xb0uy; 0xf4uy; 0xeduy; 0xeauy; 0xc2uy; 0xf0uy; 0x31uy; 0x98uy; 0x6cuy; 0xd1uy; 0x14uy; 0x25uy; 0xc0uy; 0xcbuy; 0x01uy; 0x74uy; 0xd0uy; 0x82uy; 0xf4uy; 0x36uy; 0xf5uy; 0x41uy; 0xd5uy; 0xdcuy; 0xcauy; 0xc5uy; 0xbbuy; 0x98uy; 0xfeuy; 0xfcuy; 0x69uy; 0x21uy; 0x70uy; 0xd8uy; 0xa4uy; 0x4buy; 0xc8uy; 0xdeuy; 0x8fuy; ] in assert_norm (List.Tot.length l = 129); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input5_len: (x:UInt32.t { UInt32.v x = B.length input5 }) = 129ul let output5: (b: B.buffer UInt8.t { B.length b = 145 /\ B.recallable b }) = [@inline_let] let l = [ 0x8buy; 0x06uy; 0xd3uy; 0x31uy; 0xb0uy; 0x93uy; 0x45uy; 0xb1uy; 0x75uy; 0x6euy; 0x26uy; 0xf9uy; 0x67uy; 0xbcuy; 0x90uy; 0x15uy; 0x81uy; 0x2cuy; 0xb5uy; 0xf0uy; 0xc6uy; 0x2buy; 0xc7uy; 0x8cuy; 0x56uy; 0xd1uy; 0xbfuy; 0x69uy; 0x6cuy; 0x07uy; 0xa0uy; 0xdauy; 0x65uy; 0x27uy; 0xc9uy; 0x90uy; 0x3duy; 0xefuy; 0x4buy; 0x11uy; 0x0fuy; 0x19uy; 0x07uy; 0xfduy; 0x29uy; 0x92uy; 0xd9uy; 0xc8uy; 0xf7uy; 0x99uy; 0x2euy; 0x4auy; 0xd0uy; 0xb8uy; 0x2cuy; 0xdcuy; 0x93uy; 0xf5uy; 0x9euy; 0x33uy; 0x78uy; 0xd1uy; 0x37uy; 0xc3uy; 0x66uy; 0xd7uy; 0x5euy; 0xbcuy; 0x44uy; 0xbfuy; 0x53uy; 0xa5uy; 0xbcuy; 0xc4uy; 0xcbuy; 0x7buy; 0x3auy; 0x8euy; 0x7fuy; 0x02uy; 0xbduy; 0xbbuy; 0xe7uy; 0xcauy; 0xa6uy; 0x6cuy; 0x6buy; 0x93uy; 0x21uy; 0x93uy; 0x10uy; 0x61uy; 0xe7uy; 0x69uy; 0xd0uy; 0x78uy; 0xf3uy; 0x07uy; 0x5auy; 0x1auy; 0x8fuy; 0x73uy; 0xaauy; 0xb1uy; 0x4euy; 0xd3uy; 0xdauy; 0x4fuy; 0xf3uy; 0x32uy; 0xe1uy; 0x66uy; 0x3euy; 0x6cuy; 0xc6uy; 0x13uy; 0xbauy; 0x06uy; 0x5buy; 0xfcuy; 0x6auy; 0xe5uy; 0x6fuy; 0x60uy; 0xfbuy; 0x07uy; 0x40uy; 0xb0uy; 0x8cuy; 0x9duy; 0x84uy; 0x43uy; 0x6buy; 0xc1uy; 0xf7uy; 0x8duy; 0x8duy; 0x31uy; 0xf7uy; 0x7auy; 0x39uy; 0x4duy; 0x8fuy; 0x9auy; 0xebuy; ] in assert_norm (List.Tot.length l = 145); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output5_len: (x:UInt32.t { UInt32.v x = B.length output5 }) = 145ul let key6: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x8duy; 0xb8uy; 0x91uy; 0x48uy; 0xf0uy; 0xe7uy; 0x0auy; 0xbduy; 0xf9uy; 0x3fuy; 0xcduy; 0xd9uy; 0xa0uy; 0x1euy; 0x42uy; 0x4cuy; 0xe7uy; 0xdeuy; 0x25uy; 0x3duy; 0xa3uy; 0xd7uy; 0x05uy; 0x80uy; 0x8duy; 0xf2uy; 0x82uy; 0xacuy; 0x44uy; 0x16uy; 0x51uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key6_len: (x:UInt32.t { UInt32.v x = B.length key6 }) = 32ul let nonce6: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdeuy; 0x7buy; 0xefuy; 0xc3uy; 0x65uy; 0x1buy; 0x68uy; 0xb0uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce6_len: (x:UInt32.t { UInt32.v x = B.length nonce6 }) = 12ul let aad6: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad6_len: (x:UInt32.t { UInt32.v x = B.length aad6 }) = 0ul let input6: (b: B.buffer UInt8.t { B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6 }) = B.recall aad6;[@inline_let] let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy; ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input6_len: (x:UInt32.t { UInt32.v x = B.length input6 }) = 256ul let output6: (b: B.buffer UInt8.t { B.length b = 272 /\ B.recallable b }) = [@inline_let] let l = [ 0x85uy; 0x04uy; 0xc2uy; 0xeduy; 0x8duy; 0xfduy; 0x97uy; 0x5cuy; 0xd2uy; 0xb7uy; 0xe2uy; 0xc1uy; 0x6buy; 0xa3uy; 0xbauy; 0xf8uy; 0xc9uy; 0x50uy; 0xc3uy; 0xc6uy; 0xa5uy; 0xe3uy; 0xa4uy; 0x7cuy; 0xc3uy; 0x23uy; 0x49uy; 0x5euy; 0xa9uy; 0xb9uy; 0x32uy; 0xebuy; 0x8auy; 0x7cuy; 0xcauy; 0xe5uy; 0xecuy; 0xfbuy; 0x7cuy; 0xc0uy; 0xcbuy; 0x7duy; 0xdcuy; 0x2cuy; 0x9duy; 0x92uy; 0x55uy; 0x21uy; 0x0auy; 0xc8uy; 0x43uy; 0x63uy; 0x59uy; 0x0auy; 0x31uy; 0x70uy; 0x82uy; 0x67uy; 0x41uy; 0x03uy; 0xf8uy; 0xdfuy; 0xf2uy; 0xacuy; 0xa7uy; 0x02uy; 0xd4uy; 0xd5uy; 0x8auy; 0x2duy; 0xc8uy; 0x99uy; 0x19uy; 0x66uy; 0xd0uy; 0xf6uy; 0x88uy; 0x2cuy; 0x77uy; 0xd9uy; 0xd4uy; 0x0duy; 0x6cuy; 0xbduy; 0x98uy; 0xdeuy; 0xe7uy; 0x7fuy; 0xaduy; 0x7euy; 0x8auy; 0xfbuy; 0xe9uy; 0x4buy; 0xe5uy; 0xf7uy; 0xe5uy; 0x50uy; 0xa0uy; 0x90uy; 0x3fuy; 0xd6uy; 0x22uy; 0x53uy; 0xe3uy; 0xfeuy; 0x1buy; 0xccuy; 0x79uy; 0x3buy; 0xecuy; 0x12uy; 0x47uy; 0x52uy; 0xa7uy; 0xd6uy; 0x04uy; 0xe3uy; 0x52uy; 0xe6uy; 0x93uy; 0x90uy; 0x91uy; 0x32uy; 0x73uy; 0x79uy; 0xb8uy; 0xd0uy; 0x31uy; 0xdeuy; 0x1fuy; 0x9fuy; 0x2fuy; 0x05uy; 0x38uy; 0x54uy; 0x2fuy; 0x35uy; 0x04uy; 0x39uy; 0xe0uy; 0xa7uy; 0xbauy; 0xc6uy; 0x52uy; 0xf6uy; 0x37uy; 0x65uy; 0x4cuy; 0x07uy; 0xa9uy; 0x7euy; 0xb3uy; 0x21uy; 0x6fuy; 0x74uy; 0x8cuy; 0xc9uy; 0xdeuy; 0xdbuy; 0x65uy; 0x1buy; 0x9buy; 0xaauy; 0x60uy; 0xb1uy; 0x03uy; 0x30uy; 0x6buy; 0xb2uy; 0x03uy; 0xc4uy; 0x1cuy; 0x04uy; 0xf8uy; 0x0fuy; 0x64uy; 0xafuy; 0x46uy; 0xe4uy; 0x65uy; 0x99uy; 0x49uy; 0xe2uy; 0xeauy; 0xceuy; 0x78uy; 0x00uy; 0xd8uy; 0x8buy; 0xd5uy; 0x2euy; 0xcfuy; 0xfcuy; 0x40uy; 0x49uy; 0xe8uy; 0x58uy; 0xdcuy; 0x34uy; 0x9cuy; 0x8cuy; 0x61uy; 0xbfuy; 0x0auy; 0x8euy; 0xecuy; 0x39uy; 0xa9uy; 0x30uy; 0x05uy; 0x5auy; 0xd2uy; 0x56uy; 0x01uy; 0xc7uy; 0xdauy; 0x8fuy; 0x4euy; 0xbbuy; 0x43uy; 0xa3uy; 0x3auy; 0xf9uy; 0x15uy; 0x2auy; 0xd0uy; 0xa0uy; 0x7auy; 0x87uy; 0x34uy; 0x82uy; 0xfeuy; 0x8auy; 0xd1uy; 0x2duy; 0x5euy; 0xc7uy; 0xbfuy; 0x04uy; 0x53uy; 0x5fuy; 0x3buy; 0x36uy; 0xd4uy; 0x25uy; 0x5cuy; 0x34uy; 0x7auy; 0x8duy; 0xd5uy; 0x05uy; 0xceuy; 0x72uy; 0xcauy; 0xefuy; 0x7auy; 0x4buy; 0xbcuy; 0xb0uy; 0x10uy; 0x5cuy; 0x96uy; 0x42uy; 0x3auy; 0x00uy; 0x98uy; 0xcduy; 0x15uy; 0xe8uy; 0xb7uy; 0x53uy; ] in assert_norm (List.Tot.length l = 272); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output6_len: (x:UInt32.t { UInt32.v x = B.length output6 }) = 272ul let key7: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xf2uy; 0xaauy; 0x4fuy; 0x99uy; 0xfduy; 0x3euy; 0xa8uy; 0x53uy; 0xc1uy; 0x44uy; 0xe9uy; 0x81uy; 0x18uy; 0xdcuy; 0xf5uy; 0xf0uy; 0x3euy; 0x44uy; 0x15uy; 0x59uy; 0xe0uy; 0xc5uy; 0x44uy; 0x86uy; 0xc3uy; 0x91uy; 0xa8uy; 0x75uy; 0xc0uy; 0x12uy; 0x46uy; 0xbauy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key7_len: (x:UInt32.t { UInt32.v x = B.length key7 }) = 32ul let nonce7: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x0euy; 0x0duy; 0x57uy; 0xbbuy; 0x7buy; 0x40uy; 0x54uy; 0x02uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce7_len: (x:UInt32.t { UInt32.v x = B.length nonce7 }) = 12ul let aad7: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad7_len: (x:UInt32.t { UInt32.v x = B.length aad7 }) = 0ul let input7: (b: B.buffer UInt8.t { B.length b = 512 /\ B.recallable b /\ B.disjoint b aad7 }) = B.recall aad7;[@inline_let] let l = [ 0xc3uy; 0x09uy; 0x94uy; 0x62uy; 0xe6uy; 0x46uy; 0x2euy; 0x10uy; 0xbeuy; 0x00uy; 0xe4uy; 0xfcuy; 0xf3uy; 0x40uy; 0xa3uy; 0xe2uy; 0x0fuy; 0xc2uy; 0x8buy; 0x28uy; 0xdcuy; 0xbauy; 0xb4uy; 0x3cuy; 0xe4uy; 0x21uy; 0x58uy; 0x61uy; 0xcduy; 0x8buy; 0xcduy; 0xfbuy; 0xacuy; 0x94uy; 0xa1uy; 0x45uy; 0xf5uy; 0x1cuy; 0xe1uy; 0x12uy; 0xe0uy; 0x3buy; 0x67uy; 0x21uy; 0x54uy; 0x5euy; 0x8cuy; 0xaauy; 0xcfuy; 0xdbuy; 0xb4uy; 0x51uy; 0xd4uy; 0x13uy; 0xdauy; 0xe6uy; 0x83uy; 0x89uy; 0xb6uy; 0x92uy; 0xe9uy; 0x21uy; 0x76uy; 0xa4uy; 0x93uy; 0x7duy; 0x0euy; 0xfduy; 0x96uy; 0x36uy; 0x03uy; 0x91uy; 0x43uy; 0x5cuy; 0x92uy; 0x49uy; 0x62uy; 0x61uy; 0x7buy; 0xebuy; 0x43uy; 0x89uy; 0xb8uy; 0x12uy; 0x20uy; 0x43uy; 0xd4uy; 0x47uy; 0x06uy; 0x84uy; 0xeeuy; 0x47uy; 0xe9uy; 0x8auy; 0x73uy; 0x15uy; 0x0fuy; 0x72uy; 0xcfuy; 0xeduy; 0xceuy; 0x96uy; 0xb2uy; 0x7fuy; 0x21uy; 0x45uy; 0x76uy; 0xebuy; 0x26uy; 0x28uy; 0x83uy; 0x6auy; 0xaduy; 0xaauy; 0xa6uy; 0x81uy; 0xd8uy; 0x55uy; 0xb1uy; 0xa3uy; 0x85uy; 0xb3uy; 0x0cuy; 0xdfuy; 0xf1uy; 0x69uy; 0x2duy; 0x97uy; 0x05uy; 0x2auy; 0xbcuy; 0x7cuy; 0x7buy; 0x25uy; 0xf8uy; 0x80uy; 0x9duy; 0x39uy; 0x25uy; 0xf3uy; 0x62uy; 0xf0uy; 0x66uy; 0x5euy; 0xf4uy; 0xa0uy; 0xcfuy; 0xd8uy; 0xfduy; 0x4fuy; 0xb1uy; 0x1fuy; 0x60uy; 0x3auy; 0x08uy; 0x47uy; 0xafuy; 0xe1uy; 0xf6uy; 0x10uy; 0x77uy; 0x09uy; 0xa7uy; 0x27uy; 0x8fuy; 0x9auy; 0x97uy; 0x5auy; 0x26uy; 0xfauy; 0xfeuy; 0x41uy; 0x32uy; 0x83uy; 0x10uy; 0xe0uy; 0x1duy; 0xbfuy; 0x64uy; 0x0duy; 0xf4uy; 0x1cuy; 0x32uy; 0x35uy; 0xe5uy; 0x1buy; 0x36uy; 0xefuy; 0xd4uy; 0x4auy; 0x93uy; 0x4duy; 0x00uy; 0x7cuy; 0xecuy; 0x02uy; 0x07uy; 0x8buy; 0x5duy; 0x7duy; 0x1buy; 0x0euy; 0xd1uy; 0xa6uy; 0xa5uy; 0x5duy; 0x7duy; 0x57uy; 0x88uy; 0xa8uy; 0xccuy; 0x81uy; 0xb4uy; 0x86uy; 0x4euy; 0xb4uy; 0x40uy; 0xe9uy; 0x1duy; 0xc3uy; 0xb1uy; 0x24uy; 0x3euy; 0x7fuy; 0xccuy; 0x8auy; 0x24uy; 0x9buy; 0xdfuy; 0x6duy; 0xf0uy; 0x39uy; 0x69uy; 0x3euy; 0x4cuy; 0xc0uy; 0x96uy; 0xe4uy; 0x13uy; 0xdauy; 0x90uy; 0xdauy; 0xf4uy; 0x95uy; 0x66uy; 0x8buy; 0x17uy; 0x17uy; 0xfeuy; 0x39uy; 0x43uy; 0x25uy; 0xaauy; 0xdauy; 0xa0uy; 0x43uy; 0x3cuy; 0xb1uy; 0x41uy; 0x02uy; 0xa3uy; 0xf0uy; 0xa7uy; 0x19uy; 0x59uy; 0xbcuy; 0x1duy; 0x7duy; 0x6cuy; 0x6duy; 0x91uy; 0x09uy; 0x5cuy; 0xb7uy; 0x5buy; 0x01uy; 0xd1uy; 0x6fuy; 0x17uy; 0x21uy; 0x97uy; 0xbfuy; 0x89uy; 0x71uy; 0xa5uy; 0xb0uy; 0x6euy; 0x07uy; 0x45uy; 0xfduy; 0x9duy; 0xeauy; 0x07uy; 0xf6uy; 0x7auy; 0x9fuy; 0x10uy; 0x18uy; 0x22uy; 0x30uy; 0x73uy; 0xacuy; 0xd4uy; 0x6buy; 0x72uy; 0x44uy; 0xeduy; 0xd9uy; 0x19uy; 0x9buy; 0x2duy; 0x4auy; 0x41uy; 0xdduy; 0xd1uy; 0x85uy; 0x5euy; 0x37uy; 0x19uy; 0xeduy; 0xd2uy; 0x15uy; 0x8fuy; 0x5euy; 0x91uy; 0xdbuy; 0x33uy; 0xf2uy; 0xe4uy; 0xdbuy; 0xffuy; 0x98uy; 0xfbuy; 0xa3uy; 0xb5uy; 0xcauy; 0x21uy; 0x69uy; 0x08uy; 0xe7uy; 0x8auy; 0xdfuy; 0x90uy; 0xffuy; 0x3euy; 0xe9uy; 0x20uy; 0x86uy; 0x3cuy; 0xe9uy; 0xfcuy; 0x0buy; 0xfeuy; 0x5cuy; 0x61uy; 0xaauy; 0x13uy; 0x92uy; 0x7fuy; 0x7buy; 0xecuy; 0xe0uy; 0x6duy; 0xa8uy; 0x23uy; 0x22uy; 0xf6uy; 0x6buy; 0x77uy; 0xc4uy; 0xfeuy; 0x40uy; 0x07uy; 0x3buy; 0xb6uy; 0xf6uy; 0x8euy; 0x5fuy; 0xd4uy; 0xb9uy; 0xb7uy; 0x0fuy; 0x21uy; 0x04uy; 0xefuy; 0x83uy; 0x63uy; 0x91uy; 0x69uy; 0x40uy; 0xa3uy; 0x48uy; 0x5cuy; 0xd2uy; 0x60uy; 0xf9uy; 0x4fuy; 0x6cuy; 0x47uy; 0x8buy; 0x3buy; 0xb1uy; 0x9fuy; 0x8euy; 0xeeuy; 0x16uy; 0x8auy; 0x13uy; 0xfcuy; 0x46uy; 0x17uy; 0xc3uy; 0xc3uy; 0x32uy; 0x56uy; 0xf8uy; 0x3cuy; 0x85uy; 0x3auy; 0xb6uy; 0x3euy; 0xaauy; 0x89uy; 0x4fuy; 0xb3uy; 0xdfuy; 0x38uy; 0xfduy; 0xf1uy; 0xe4uy; 0x3auy; 0xc0uy; 0xe6uy; 0x58uy; 0xb5uy; 0x8fuy; 0xc5uy; 0x29uy; 0xa2uy; 0x92uy; 0x4auy; 0xb6uy; 0xa0uy; 0x34uy; 0x7fuy; 0xabuy; 0xb5uy; 0x8auy; 0x90uy; 0xa1uy; 0xdbuy; 0x4duy; 0xcauy; 0xb6uy; 0x2cuy; 0x41uy; 0x3cuy; 0xf7uy; 0x2buy; 0x21uy; 0xc3uy; 0xfduy; 0xf4uy; 0x17uy; 0x5cuy; 0xb5uy; 0x33uy; 0x17uy; 0x68uy; 0x2buy; 0x08uy; 0x30uy; 0xf3uy; 0xf7uy; 0x30uy; 0x3cuy; 0x96uy; 0xe6uy; 0x6auy; 0x20uy; 0x97uy; 0xe7uy; 0x4duy; 0x10uy; 0x5fuy; 0x47uy; 0x5fuy; 0x49uy; 0x96uy; 0x09uy; 0xf0uy; 0x27uy; 0x91uy; 0xc8uy; 0xf8uy; 0x5auy; 0x2euy; 0x79uy; 0xb5uy; 0xe2uy; 0xb8uy; 0xe8uy; 0xb9uy; 0x7buy; 0xd5uy; 0x10uy; 0xcbuy; 0xffuy; 0x5duy; 0x14uy; 0x73uy; 0xf3uy; ] in assert_norm (List.Tot.length l = 512); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input7_len: (x:UInt32.t { UInt32.v x = B.length input7 }) = 512ul let output7: (b: B.buffer UInt8.t { B.length b = 528 /\ B.recallable b }) = [@inline_let] let l = [ 0x14uy; 0xf6uy; 0x41uy; 0x37uy; 0xa6uy; 0xd4uy; 0x27uy; 0xcduy; 0xdbuy; 0x06uy; 0x3euy; 0x9auy; 0x4euy; 0xabuy; 0xd5uy; 0xb1uy; 0x1euy; 0x6buy; 0xd2uy; 0xbcuy; 0x11uy; 0xf4uy; 0x28uy; 0x93uy; 0x63uy; 0x54uy; 0xefuy; 0xbbuy; 0x5euy; 0x1duy; 0x3auy; 0x1duy; 0x37uy; 0x3cuy; 0x0auy; 0x6cuy; 0x1euy; 0xc2uy; 0xd1uy; 0x2cuy; 0xb5uy; 0xa3uy; 0xb5uy; 0x7buy; 0xb8uy; 0x8fuy; 0x25uy; 0xa6uy; 0x1buy; 0x61uy; 0x1cuy; 0xecuy; 0x28uy; 0x58uy; 0x26uy; 0xa4uy; 0xa8uy; 0x33uy; 0x28uy; 0x25uy; 0x5cuy; 0x45uy; 0x05uy; 0xe5uy; 0x6cuy; 0x99uy; 0xe5uy; 0x45uy; 0xc4uy; 0xa2uy; 0x03uy; 0x84uy; 0x03uy; 0x73uy; 0x1euy; 0x8cuy; 0x49uy; 0xacuy; 0x20uy; 0xdduy; 0x8duy; 0xb3uy; 0xc4uy; 0xf5uy; 0xe7uy; 0x4fuy; 0xf1uy; 0xeduy; 0xa1uy; 0x98uy; 0xdeuy; 0xa4uy; 0x96uy; 0xdduy; 0x2fuy; 0xabuy; 0xabuy; 0x97uy; 0xcfuy; 0x3euy; 0xd2uy; 0x9euy; 0xb8uy; 0x13uy; 0x07uy; 0x28uy; 0x29uy; 0x19uy; 0xafuy; 0xfduy; 0xf2uy; 0x49uy; 0x43uy; 0xeauy; 0x49uy; 0x26uy; 0x91uy; 0xc1uy; 0x07uy; 0xd6uy; 0xbbuy; 0x81uy; 0x75uy; 0x35uy; 0x0duy; 0x24uy; 0x7fuy; 0xc8uy; 0xdauy; 0xd4uy; 0xb7uy; 0xebuy; 0xe8uy; 0x5cuy; 0x09uy; 0xa2uy; 0x2fuy; 0xdcuy; 0x28uy; 0x7duy; 0x3auy; 0x03uy; 0xfauy; 0x94uy; 0xb5uy; 0x1duy; 0x17uy; 0x99uy; 0x36uy; 0xc3uy; 0x1cuy; 0x18uy; 0x34uy; 0xe3uy; 0x9fuy; 0xf5uy; 0x55uy; 0x7cuy; 0xb0uy; 0x60uy; 0x9duy; 0xffuy; 0xacuy; 0xd4uy; 0x61uy; 0xf2uy; 0xaduy; 0xf8uy; 0xceuy; 0xc7uy; 0xbeuy; 0x5cuy; 0xd2uy; 0x95uy; 0xa8uy; 0x4buy; 0x77uy; 0x13uy; 0x19uy; 0x59uy; 0x26uy; 0xc9uy; 0xb7uy; 0x8fuy; 0x6auy; 0xcbuy; 0x2duy; 0x37uy; 0x91uy; 0xeauy; 0x92uy; 0x9cuy; 0x94uy; 0x5buy; 0xdauy; 0x0buy; 0xceuy; 0xfeuy; 0x30uy; 0x20uy; 0xf8uy; 0x51uy; 0xaduy; 0xf2uy; 0xbeuy; 0xe7uy; 0xc7uy; 0xffuy; 0xb3uy; 0x33uy; 0x91uy; 0x6auy; 0xc9uy; 0x1auy; 0x41uy; 0xc9uy; 0x0fuy; 0xf3uy; 0x10uy; 0x0euy; 0xfduy; 0x53uy; 0xffuy; 0x6cuy; 0x16uy; 0x52uy; 0xd9uy; 0xf3uy; 0xf7uy; 0x98uy; 0x2euy; 0xc9uy; 0x07uy; 0x31uy; 0x2cuy; 0x0cuy; 0x72uy; 0xd7uy; 0xc5uy; 0xc6uy; 0x08uy; 0x2auy; 0x7buy; 0xdauy; 0xbduy; 0x7euy; 0x02uy; 0xeauy; 0x1auy; 0xbbuy; 0xf2uy; 0x04uy; 0x27uy; 0x61uy; 0x28uy; 0x8euy; 0xf5uy; 0x04uy; 0x03uy; 0x1fuy; 0x4cuy; 0x07uy; 0x55uy; 0x82uy; 0xecuy; 0x1euy; 0xd7uy; 0x8buy; 0x2fuy; 0x65uy; 0x56uy; 0xd1uy; 0xd9uy; 0x1euy; 0x3cuy; 0xe9uy; 0x1fuy; 0x5euy; 0x98uy; 0x70uy; 0x38uy; 0x4auy; 0x8cuy; 0x49uy; 0xc5uy; 0x43uy; 0xa0uy; 0xa1uy; 0x8buy; 0x74uy; 0x9duy; 0x4cuy; 0x62uy; 0x0duy; 0x10uy; 0x0cuy; 0xf4uy; 0x6cuy; 0x8fuy; 0xe0uy; 0xaauy; 0x9auy; 0x8duy; 0xb7uy; 0xe0uy; 0xbeuy; 0x4cuy; 0x87uy; 0xf1uy; 0x98uy; 0x2fuy; 0xccuy; 0xeduy; 0xc0uy; 0x52uy; 0x29uy; 0xdcuy; 0x83uy; 0xf8uy; 0xfcuy; 0x2cuy; 0x0euy; 0xa8uy; 0x51uy; 0x4duy; 0x80uy; 0x0duy; 0xa3uy; 0xfeuy; 0xd8uy; 0x37uy; 0xe7uy; 0x41uy; 0x24uy; 0xfcuy; 0xfbuy; 0x75uy; 0xe3uy; 0x71uy; 0x7buy; 0x57uy; 0x45uy; 0xf5uy; 0x97uy; 0x73uy; 0x65uy; 0x63uy; 0x14uy; 0x74uy; 0xb8uy; 0x82uy; 0x9fuy; 0xf8uy; 0x60uy; 0x2fuy; 0x8auy; 0xf2uy; 0x4euy; 0xf1uy; 0x39uy; 0xdauy; 0x33uy; 0x91uy; 0xf8uy; 0x36uy; 0xe0uy; 0x8duy; 0x3fuy; 0x1fuy; 0x3buy; 0x56uy; 0xdcuy; 0xa0uy; 0x8fuy; 0x3cuy; 0x9duy; 0x71uy; 0x52uy; 0xa7uy; 0xb8uy; 0xc0uy; 0xa5uy; 0xc6uy; 0xa2uy; 0x73uy; 0xdauy; 0xf4uy; 0x4buy; 0x74uy; 0x5buy; 0x00uy; 0x3duy; 0x99uy; 0xd7uy; 0x96uy; 0xbauy; 0xe6uy; 0xe1uy; 0xa6uy; 0x96uy; 0x38uy; 0xaduy; 0xb3uy; 0xc0uy; 0xd2uy; 0xbauy; 0x91uy; 0x6buy; 0xf9uy; 0x19uy; 0xdduy; 0x3buy; 0xbeuy; 0xbeuy; 0x9cuy; 0x20uy; 0x50uy; 0xbauy; 0xa1uy; 0xd0uy; 0xceuy; 0x11uy; 0xbduy; 0x95uy; 0xd8uy; 0xd1uy; 0xdduy; 0x33uy; 0x85uy; 0x74uy; 0xdcuy; 0xdbuy; 0x66uy; 0x76uy; 0x44uy; 0xdcuy; 0x03uy; 0x74uy; 0x48uy; 0x35uy; 0x98uy; 0xb1uy; 0x18uy; 0x47uy; 0x94uy; 0x7duy; 0xffuy; 0x62uy; 0xe4uy; 0x58uy; 0x78uy; 0xabuy; 0xeduy; 0x95uy; 0x36uy; 0xd9uy; 0x84uy; 0x91uy; 0x82uy; 0x64uy; 0x41uy; 0xbbuy; 0x58uy; 0xe6uy; 0x1cuy; 0x20uy; 0x6duy; 0x15uy; 0x6buy; 0x13uy; 0x96uy; 0xe8uy; 0x35uy; 0x7fuy; 0xdcuy; 0x40uy; 0x2cuy; 0xe9uy; 0xbcuy; 0x8auy; 0x4fuy; 0x92uy; 0xecuy; 0x06uy; 0x2duy; 0x50uy; 0xdfuy; 0x93uy; 0x5duy; 0x65uy; 0x5auy; 0xa8uy; 0xfcuy; 0x20uy; 0x50uy; 0x14uy; 0xa9uy; 0x8auy; 0x7euy; 0x1duy; 0x08uy; 0x1fuy; 0xe2uy; 0x99uy; 0xd0uy; 0xbeuy; 0xfbuy; 0x3auy; 0x21uy; 0x9duy; 0xaduy; 0x86uy; 0x54uy; 0xfduy; 0x0duy; 0x98uy; 0x1cuy; 0x5auy; 0x6fuy; 0x1fuy; 0x9auy; 0x40uy; 0xcduy; 0xa2uy; 0xffuy; 0x6auy; 0xf1uy; 0x54uy; ] in assert_norm (List.Tot.length l = 528); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output7_len: (x:UInt32.t { UInt32.v x = B.length output7 }) = 528ul let key8: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xbcuy; 0x56uy; 0x99uy; 0xe3uy; 0x50uy; 0xffuy; 0xc5uy; 0xccuy; 0x1auy; 0xd7uy; 0xc1uy; 0x57uy; 0x72uy; 0xeauy; 0x86uy; 0x5buy; 0x89uy; 0x88uy; 0x61uy; 0x3duy; 0x2fuy; 0x9buy; 0xb2uy; 0xe7uy; 0x9cuy; 0xecuy; 0x74uy; 0x6euy; 0x3euy; 0xf4uy; 0x3buy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key8_len: (x:UInt32.t { UInt32.v x = B.length key8 }) = 32ul let nonce8: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xefuy; 0x2duy; 0x63uy; 0xeeuy; 0x6buy; 0x80uy; 0x8buy; 0x78uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce8_len: (x:UInt32.t { UInt32.v x = B.length nonce8 }) = 12ul let aad8: (b: B.buffer UInt8.t { B.length b = 9 /\ B.recallable b }) = [@inline_let] let l = [ 0x5auy; 0x27uy; 0xffuy; 0xebuy; 0xdfuy; 0x84uy; 0xb2uy; 0x9euy; 0xefuy; ] in assert_norm (List.Tot.length l = 9); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad8_len: (x:UInt32.t { UInt32.v x = B.length aad8 }) = 9ul let input8: (b: B.buffer UInt8.t { B.length b = 513 /\ B.recallable b /\ B.disjoint b aad8 }) = B.recall aad8;[@inline_let] let l = [ 0xe6uy; 0xc3uy; 0xdbuy; 0x63uy; 0x55uy; 0x15uy; 0xe3uy; 0x5buy; 0xb7uy; 0x4buy; 0x27uy; 0x8buy; 0x5auy; 0xdduy; 0xc2uy; 0xe8uy; 0x3auy; 0x6buy; 0xd7uy; 0x81uy; 0x96uy; 0x35uy; 0x97uy; 0xcauy; 0xd7uy; 0x68uy; 0xe8uy; 0xefuy; 0xceuy; 0xabuy; 0xdauy; 0x09uy; 0x6euy; 0xd6uy; 0x8euy; 0xcbuy; 0x55uy; 0xb5uy; 0xe1uy; 0xe5uy; 0x57uy; 0xfduy; 0xc4uy; 0xe3uy; 0xe0uy; 0x18uy; 0x4fuy; 0x85uy; 0xf5uy; 0x3fuy; 0x7euy; 0x4buy; 0x88uy; 0xc9uy; 0x52uy; 0x44uy; 0x0fuy; 0xeauy; 0xafuy; 0x1fuy; 0x71uy; 0x48uy; 0x9fuy; 0x97uy; 0x6duy; 0xb9uy; 0x6fuy; 0x00uy; 0xa6uy; 0xdeuy; 0x2buy; 0x77uy; 0x8buy; 0x15uy; 0xaduy; 0x10uy; 0xa0uy; 0x2buy; 0x7buy; 0x41uy; 0x90uy; 0x03uy; 0x2duy; 0x69uy; 0xaeuy; 0xccuy; 0x77uy; 0x7cuy; 0xa5uy; 0x9duy; 0x29uy; 0x22uy; 0xc2uy; 0xeauy; 0xb4uy; 0x00uy; 0x1auy; 0xd2uy; 0x7auy; 0x98uy; 0x8auy; 0xf9uy; 0xf7uy; 0x82uy; 0xb0uy; 0xabuy; 0xd8uy; 0xa6uy; 0x94uy; 0x8duy; 0x58uy; 0x2fuy; 0x01uy; 0x9euy; 0x00uy; 0x20uy; 0xfcuy; 0x49uy; 0xdcuy; 0x0euy; 0x03uy; 0xe8uy; 0x45uy; 0x10uy; 0xd6uy; 0xa8uy; 0xdauy; 0x55uy; 0x10uy; 0x9auy; 0xdfuy; 0x67uy; 0x22uy; 0x8buy; 0x43uy; 0xabuy; 0x00uy; 0xbbuy; 0x02uy; 0xc8uy; 0xdduy; 0x7buy; 0x97uy; 0x17uy; 0xd7uy; 0x1duy; 0x9euy; 0x02uy; 0x5euy; 0x48uy; 0xdeuy; 0x8euy; 0xcfuy; 0x99uy; 0x07uy; 0x95uy; 0x92uy; 0x3cuy; 0x5fuy; 0x9fuy; 0xc5uy; 0x8auy; 0xc0uy; 0x23uy; 0xaauy; 0xd5uy; 0x8cuy; 0x82uy; 0x6euy; 0x16uy; 0x92uy; 0xb1uy; 0x12uy; 0x17uy; 0x07uy; 0xc3uy; 0xfbuy; 0x36uy; 0xf5uy; 0x6cuy; 0x35uy; 0xd6uy; 0x06uy; 0x1fuy; 0x9fuy; 0xa7uy; 0x94uy; 0xa2uy; 0x38uy; 0x63uy; 0x9cuy; 0xb0uy; 0x71uy; 0xb3uy; 0xa5uy; 0xd2uy; 0xd8uy; 0xbauy; 0x9fuy; 0x08uy; 0x01uy; 0xb3uy; 0xffuy; 0x04uy; 0x97uy; 0x73uy; 0x45uy; 0x1buy; 0xd5uy; 0xa9uy; 0x9cuy; 0x80uy; 0xafuy; 0x04uy; 0x9auy; 0x85uy; 0xdbuy; 0x32uy; 0x5buy; 0x5duy; 0x1auy; 0xc1uy; 0x36uy; 0x28uy; 0x10uy; 0x79uy; 0xf1uy; 0x3cuy; 0xbfuy; 0x1auy; 0x41uy; 0x5cuy; 0x4euy; 0xdfuy; 0xb2uy; 0x7cuy; 0x79uy; 0x3buy; 0x7auy; 0x62uy; 0x3duy; 0x4buy; 0xc9uy; 0x9buy; 0x2auy; 0x2euy; 0x7cuy; 0xa2uy; 0xb1uy; 0x11uy; 0x98uy; 0xa7uy; 0x34uy; 0x1auy; 0x00uy; 0xf3uy; 0xd1uy; 0xbcuy; 0x18uy; 0x22uy; 0xbauy; 0x02uy; 0x56uy; 0x62uy; 0x31uy; 0x10uy; 0x11uy; 0x6duy; 0xe0uy; 0x54uy; 0x9duy; 0x40uy; 0x1fuy; 0x26uy; 0x80uy; 0x41uy; 0xcauy; 0x3fuy; 0x68uy; 0x0fuy; 0x32uy; 0x1duy; 0x0auy; 0x8euy; 0x79uy; 0xd8uy; 0xa4uy; 0x1buy; 0x29uy; 0x1cuy; 0x90uy; 0x8euy; 0xc5uy; 0xe3uy; 0xb4uy; 0x91uy; 0x37uy; 0x9auy; 0x97uy; 0x86uy; 0x99uy; 0xd5uy; 0x09uy; 0xc5uy; 0xbbuy; 0xa3uy; 0x3fuy; 0x21uy; 0x29uy; 0x82uy; 0x14uy; 0x5cuy; 0xabuy; 0x25uy; 0xfbuy; 0xf2uy; 0x4fuy; 0x58uy; 0x26uy; 0xd4uy; 0x83uy; 0xaauy; 0x66uy; 0x89uy; 0x67uy; 0x7euy; 0xc0uy; 0x49uy; 0xe1uy; 0x11uy; 0x10uy; 0x7fuy; 0x7auy; 0xdauy; 0x29uy; 0x04uy; 0xffuy; 0xf0uy; 0xcbuy; 0x09uy; 0x7cuy; 0x9duy; 0xfauy; 0x03uy; 0x6fuy; 0x81uy; 0x09uy; 0x31uy; 0x60uy; 0xfbuy; 0x08uy; 0xfauy; 0x74uy; 0xd3uy; 0x64uy; 0x44uy; 0x7cuy; 0x55uy; 0x85uy; 0xecuy; 0x9cuy; 0x6euy; 0x25uy; 0xb7uy; 0x6cuy; 0xc5uy; 0x37uy; 0xb6uy; 0x83uy; 0x87uy; 0x72uy; 0x95uy; 0x8buy; 0x9duy; 0xe1uy; 0x69uy; 0x5cuy; 0x31uy; 0x95uy; 0x42uy; 0xa6uy; 0x2cuy; 0xd1uy; 0x36uy; 0x47uy; 0x1fuy; 0xecuy; 0x54uy; 0xabuy; 0xa2uy; 0x1cuy; 0xd8uy; 0x00uy; 0xccuy; 0xbcuy; 0x0duy; 0x65uy; 0xe2uy; 0x67uy; 0xbfuy; 0xbcuy; 0xeauy; 0xeeuy; 0x9euy; 0xe4uy; 0x36uy; 0x95uy; 0xbeuy; 0x73uy; 0xd9uy; 0xa6uy; 0xd9uy; 0x0fuy; 0xa0uy; 0xccuy; 0x82uy; 0x76uy; 0x26uy; 0xaduy; 0x5buy; 0x58uy; 0x6cuy; 0x4euy; 0xabuy; 0x29uy; 0x64uy; 0xd3uy; 0xd9uy; 0xa9uy; 0x08uy; 0x8cuy; 0x1duy; 0xa1uy; 0x4fuy; 0x80uy; 0xd8uy; 0x3fuy; 0x94uy; 0xfbuy; 0xd3uy; 0x7buy; 0xfcuy; 0xd1uy; 0x2buy; 0xc3uy; 0x21uy; 0xebuy; 0xe5uy; 0x1cuy; 0x84uy; 0x23uy; 0x7fuy; 0x4buy; 0xfauy; 0xdbuy; 0x34uy; 0x18uy; 0xa2uy; 0xc2uy; 0xe5uy; 0x13uy; 0xfeuy; 0x6cuy; 0x49uy; 0x81uy; 0xd2uy; 0x73uy; 0xe7uy; 0xe2uy; 0xd7uy; 0xe4uy; 0x4fuy; 0x4buy; 0x08uy; 0x6euy; 0xb1uy; 0x12uy; 0x22uy; 0x10uy; 0x9duy; 0xacuy; 0x51uy; 0x1euy; 0x17uy; 0xd9uy; 0x8auy; 0x0buy; 0x42uy; 0x88uy; 0x16uy; 0x81uy; 0x37uy; 0x7cuy; 0x6auy; 0xf7uy; 0xefuy; 0x2duy; 0xe3uy; 0xd9uy; 0xf8uy; 0x5fuy; 0xe0uy; 0x53uy; 0x27uy; 0x74uy; 0xb9uy; 0xe2uy; 0xd6uy; 0x1cuy; 0x80uy; 0x2cuy; 0x52uy; 0x65uy; ] in assert_norm (List.Tot.length l = 513); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input8_len: (x:UInt32.t { UInt32.v x = B.length input8 }) = 513ul let output8: (b: B.buffer UInt8.t { B.length b = 529 /\ B.recallable b }) = [@inline_let] let l = [ 0xfduy; 0x81uy; 0x8duy; 0xd0uy; 0x3duy; 0xb4uy; 0xd5uy; 0xdfuy; 0xd3uy; 0x42uy; 0x47uy; 0x5auy; 0x6duy; 0x19uy; 0x27uy; 0x66uy; 0x4buy; 0x2euy; 0x0cuy; 0x27uy; 0x9cuy; 0x96uy; 0x4cuy; 0x72uy; 0x02uy; 0xa3uy; 0x65uy; 0xc3uy; 0xb3uy; 0x6fuy; 0x2euy; 0xbduy; 0x63uy; 0x8auy; 0x4auy; 0x5duy; 0x29uy; 0xa2uy; 0xd0uy; 0x28uy; 0x48uy; 0xc5uy; 0x3duy; 0x98uy; 0xa3uy; 0xbcuy; 0xe0uy; 0xbeuy; 0x3buy; 0x3fuy; 0xe6uy; 0x8auy; 0xa4uy; 0x7fuy; 0x53uy; 0x06uy; 0xfauy; 0x7fuy; 0x27uy; 0x76uy; 0x72uy; 0x31uy; 0xa1uy; 0xf5uy; 0xd6uy; 0x0cuy; 0x52uy; 0x47uy; 0xbauy; 0xcduy; 0x4fuy; 0xd7uy; 0xebuy; 0x05uy; 0x48uy; 0x0duy; 0x7cuy; 0x35uy; 0x4auy; 0x09uy; 0xc9uy; 0x76uy; 0x71uy; 0x02uy; 0xa3uy; 0xfbuy; 0xb7uy; 0x1auy; 0x65uy; 0xb7uy; 0xeduy; 0x98uy; 0xc6uy; 0x30uy; 0x8auy; 0x00uy; 0xaeuy; 0xa1uy; 0x31uy; 0xe5uy; 0xb5uy; 0x9euy; 0x6duy; 0x62uy; 0xdauy; 0xdauy; 0x07uy; 0x0fuy; 0x38uy; 0x38uy; 0xd3uy; 0xcbuy; 0xc1uy; 0xb0uy; 0xaduy; 0xecuy; 0x72uy; 0xecuy; 0xb1uy; 0xa2uy; 0x7buy; 0x59uy; 0xf3uy; 0x3duy; 0x2buy; 0xefuy; 0xcduy; 0x28uy; 0x5buy; 0x83uy; 0xccuy; 0x18uy; 0x91uy; 0x88uy; 0xb0uy; 0x2euy; 0xf9uy; 0x29uy; 0x31uy; 0x18uy; 0xf9uy; 0x4euy; 0xe9uy; 0x0auy; 0x91uy; 0x92uy; 0x9fuy; 0xaeuy; 0x2duy; 0xaduy; 0xf4uy; 0xe6uy; 0x1auy; 0xe2uy; 0xa4uy; 0xeeuy; 0x47uy; 0x15uy; 0xbfuy; 0x83uy; 0x6euy; 0xd7uy; 0x72uy; 0x12uy; 0x3buy; 0x2duy; 0x24uy; 0xe9uy; 0xb2uy; 0x55uy; 0xcbuy; 0x3cuy; 0x10uy; 0xf0uy; 0x24uy; 0x8auy; 0x4auy; 0x02uy; 0xeauy; 0x90uy; 0x25uy; 0xf0uy; 0xb4uy; 0x79uy; 0x3auy; 0xefuy; 0x6euy; 0xf5uy; 0x52uy; 0xdfuy; 0xb0uy; 0x0auy; 0xcduy; 0x24uy; 0x1cuy; 0xd3uy; 0x2euy; 0x22uy; 0x74uy; 0xeauy; 0x21uy; 0x6fuy; 0xe9uy; 0xbduy; 0xc8uy; 0x3euy; 0x36uy; 0x5buy; 0x19uy; 0xf1uy; 0xcauy; 0x99uy; 0x0auy; 0xb4uy; 0xa7uy; 0x52uy; 0x1auy; 0x4euy; 0xf2uy; 0xaduy; 0x8duy; 0x56uy; 0x85uy; 0xbbuy; 0x64uy; 0x89uy; 0xbauy; 0x26uy; 0xf9uy; 0xc7uy; 0xe1uy; 0x89uy; 0x19uy; 0x22uy; 0x77uy; 0xc3uy; 0xa8uy; 0xfcuy; 0xffuy; 0xaduy; 0xfeuy; 0xb9uy; 0x48uy; 0xaeuy; 0x12uy; 0x30uy; 0x9fuy; 0x19uy; 0xfbuy; 0x1buy; 0xefuy; 0x14uy; 0x87uy; 0x8auy; 0x78uy; 0x71uy; 0xf3uy; 0xf4uy; 0xb7uy; 0x00uy; 0x9cuy; 0x1duy; 0xb5uy; 0x3duy; 0x49uy; 0x00uy; 0x0cuy; 0x06uy; 0xd4uy; 0x50uy; 0xf9uy; 0x54uy; 0x45uy; 0xb2uy; 0x5buy; 0x43uy; 0xdbuy; 0x6duy; 0xcfuy; 0x1auy; 0xe9uy; 0x7auy; 0x7auy; 0xcfuy; 0xfcuy; 0x8auy; 0x4euy; 0x4duy; 0x0buy; 0x07uy; 0x63uy; 0x28uy; 0xd8uy; 0xe7uy; 0x08uy; 0x95uy; 0xdfuy; 0xa6uy; 0x72uy; 0x93uy; 0x2euy; 0xbbuy; 0xa0uy; 0x42uy; 0x89uy; 0x16uy; 0xf1uy; 0xd9uy; 0x0cuy; 0xf9uy; 0xa1uy; 0x16uy; 0xfduy; 0xd9uy; 0x03uy; 0xb4uy; 0x3buy; 0x8auy; 0xf5uy; 0xf6uy; 0xe7uy; 0x6buy; 0x2euy; 0x8euy; 0x4cuy; 0x3duy; 0xe2uy; 0xafuy; 0x08uy; 0x45uy; 0x03uy; 0xffuy; 0x09uy; 0xb6uy; 0xebuy; 0x2duy; 0xc6uy; 0x1buy; 0x88uy; 0x94uy; 0xacuy; 0x3euy; 0xf1uy; 0x9fuy; 0x0euy; 0x0euy; 0x2buy; 0xd5uy; 0x00uy; 0x4duy; 0x3fuy; 0x3buy; 0x53uy; 0xaeuy; 0xafuy; 0x1cuy; 0x33uy; 0x5fuy; 0x55uy; 0x6euy; 0x8duy; 0xafuy; 0x05uy; 0x7auy; 0x10uy; 0x34uy; 0xc9uy; 0xf4uy; 0x66uy; 0xcbuy; 0x62uy; 0x12uy; 0xa6uy; 0xeeuy; 0xe8uy; 0x1cuy; 0x5duy; 0x12uy; 0x86uy; 0xdbuy; 0x6fuy; 0x1cuy; 0x33uy; 0xc4uy; 0x1cuy; 0xdauy; 0x82uy; 0x2duy; 0x3buy; 0x59uy; 0xfeuy; 0xb1uy; 0xa4uy; 0x59uy; 0x41uy; 0x86uy; 0xd0uy; 0xefuy; 0xaeuy; 0xfbuy; 0xdauy; 0x6duy; 0x11uy; 0xb8uy; 0xcauy; 0xe9uy; 0x6euy; 0xffuy; 0xf7uy; 0xa9uy; 0xd9uy; 0x70uy; 0x30uy; 0xfcuy; 0x53uy; 0xe2uy; 0xd7uy; 0xa2uy; 0x4euy; 0xc7uy; 0x91uy; 0xd9uy; 0x07uy; 0x06uy; 0xaauy; 0xdduy; 0xb0uy; 0x59uy; 0x28uy; 0x1duy; 0x00uy; 0x66uy; 0xc5uy; 0x54uy; 0xc2uy; 0xfcuy; 0x06uy; 0xdauy; 0x05uy; 0x90uy; 0x52uy; 0x1duy; 0x37uy; 0x66uy; 0xeeuy; 0xf0uy; 0xb2uy; 0x55uy; 0x8auy; 0x5duy; 0xd2uy; 0x38uy; 0x86uy; 0x94uy; 0x9buy; 0xfcuy; 0x10uy; 0x4cuy; 0xa1uy; 0xb9uy; 0x64uy; 0x3euy; 0x44uy; 0xb8uy; 0x5fuy; 0xb0uy; 0x0cuy; 0xecuy; 0xe0uy; 0xc9uy; 0xe5uy; 0x62uy; 0x75uy; 0x3fuy; 0x09uy; 0xd5uy; 0xf5uy; 0xd9uy; 0x26uy; 0xbauy; 0x9euy; 0xd2uy; 0xf4uy; 0xb9uy; 0x48uy; 0x0auy; 0xbcuy; 0xa2uy; 0xd6uy; 0x7cuy; 0x36uy; 0x11uy; 0x7duy; 0x26uy; 0x81uy; 0x89uy; 0xcfuy; 0xa4uy; 0xaduy; 0x73uy; 0x0euy; 0xeeuy; 0xccuy; 0x06uy; 0xa9uy; 0xdbuy; 0xb1uy; 0xfduy; 0xfbuy; 0x09uy; 0x7fuy; 0x90uy; 0x42uy; 0x37uy; 0x2fuy; 0xe1uy; 0x9cuy; 0x0fuy; 0x6fuy; 0xcfuy; 0x43uy; 0xb5uy; 0xd9uy; 0x90uy; 0xe1uy; 0x85uy; 0xf5uy; 0xa8uy; 0xaeuy; ] in assert_norm (List.Tot.length l = 529); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output8_len: (x:UInt32.t { UInt32.v x = B.length output8 }) = 529ul let key9: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x47uy; 0x11uy; 0xebuy; 0x86uy; 0x2buy; 0x2cuy; 0xabuy; 0x44uy; 0x34uy; 0xdauy; 0x7fuy; 0x57uy; 0x03uy; 0x39uy; 0x0cuy; 0xafuy; 0x2cuy; 0x14uy; 0xfduy; 0x65uy; 0x23uy; 0xe9uy; 0x8euy; 0x74uy; 0xd5uy; 0x08uy; 0x68uy; 0x08uy; 0xe7uy; 0xb4uy; 0x72uy; 0xd7uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key9_len: (x:UInt32.t { UInt32.v x = B.length key9 }) = 32ul let nonce9: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdbuy; 0x92uy; 0x0fuy; 0x7fuy; 0x17uy; 0x54uy; 0x0cuy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce9_len: (x:UInt32.t { UInt32.v x = B.length nonce9 }) = 12ul let aad9: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xd2uy; 0xa1uy; 0x70uy; 0xdbuy; 0x7auy; 0xf8uy; 0xfauy; 0x27uy; 0xbauy; 0x73uy; 0x0fuy; 0xbfuy; 0x3duy; 0x1euy; 0x82uy; 0xb2uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad9_len: (x:UInt32.t { UInt32.v x = B.length aad9 }) = 16ul let input9: (b: B.buffer UInt8.t { B.length b = 1024 /\ B.recallable b /\ B.disjoint b aad9 }) = B.recall aad9;[@inline_let] let l = [ 0x42uy; 0x93uy; 0xe4uy; 0xebuy; 0x97uy; 0xb0uy; 0x57uy; 0xbfuy; 0x1auy; 0x8buy; 0x1fuy; 0xe4uy; 0x5fuy; 0x36uy; 0x20uy; 0x3cuy; 0xefuy; 0x0auy; 0xa9uy; 0x48uy; 0x5fuy; 0x5fuy; 0x37uy; 0x22uy; 0x3auy; 0xdeuy; 0xe3uy; 0xaeuy; 0xbeuy; 0xaduy; 0x07uy; 0xccuy; 0xb1uy; 0xf6uy; 0xf5uy; 0xf9uy; 0x56uy; 0xdduy; 0xe7uy; 0x16uy; 0x1euy; 0x7fuy; 0xdfuy; 0x7auy; 0x9euy; 0x75uy; 0xb7uy; 0xc7uy; 0xbeuy; 0xbeuy; 0x8auy; 0x36uy; 0x04uy; 0xc0uy; 0x10uy; 0xf4uy; 0x95uy; 0x20uy; 0x03uy; 0xecuy; 0xdcuy; 0x05uy; 0xa1uy; 0x7duy; 0xc4uy; 0xa9uy; 0x2cuy; 0x82uy; 0xd0uy; 0xbcuy; 0x8buy; 0xc5uy; 0xc7uy; 0x45uy; 0x50uy; 0xf6uy; 0xa2uy; 0x1auy; 0xb5uy; 0x46uy; 0x3buy; 0x73uy; 0x02uy; 0xa6uy; 0x83uy; 0x4buy; 0x73uy; 0x82uy; 0x58uy; 0x5euy; 0x3buy; 0x65uy; 0x2fuy; 0x0euy; 0xfduy; 0x2buy; 0x59uy; 0x16uy; 0xceuy; 0xa1uy; 0x60uy; 0x9cuy; 0xe8uy; 0x3auy; 0x99uy; 0xeduy; 0x8duy; 0x5auy; 0xcfuy; 0xf6uy; 0x83uy; 0xafuy; 0xbauy; 0xd7uy; 0x73uy; 0x73uy; 0x40uy; 0x97uy; 0x3duy; 0xcauy; 0xefuy; 0x07uy; 0x57uy; 0xe6uy; 0xd9uy; 0x70uy; 0x0euy; 0x95uy; 0xaeuy; 0xa6uy; 0x8duy; 0x04uy; 0xccuy; 0xeeuy; 0xf7uy; 0x09uy; 0x31uy; 0x77uy; 0x12uy; 0xa3uy; 0x23uy; 0x97uy; 0x62uy; 0xb3uy; 0x7buy; 0x32uy; 0xfbuy; 0x80uy; 0x14uy; 0x48uy; 0x81uy; 0xc3uy; 0xe5uy; 0xeauy; 0x91uy; 0x39uy; 0x52uy; 0x81uy; 0xa2uy; 0x4fuy; 0xe4uy; 0xb3uy; 0x09uy; 0xffuy; 0xdeuy; 0x5euy; 0xe9uy; 0x58uy; 0x84uy; 0x6euy; 0xf9uy; 0x3duy; 0xdfuy; 0x25uy; 0xeauy; 0xaduy; 0xaeuy; 0xe6uy; 0x9auy; 0xd1uy; 0x89uy; 0x55uy; 0xd3uy; 0xdeuy; 0x6cuy; 0x52uy; 0xdbuy; 0x70uy; 0xfeuy; 0x37uy; 0xceuy; 0x44uy; 0x0auy; 0xa8uy; 0x25uy; 0x5fuy; 0x92uy; 0xc1uy; 0x33uy; 0x4auy; 0x4fuy; 0x9buy; 0x62uy; 0x35uy; 0xffuy; 0xceuy; 0xc0uy; 0xa9uy; 0x60uy; 0xceuy; 0x52uy; 0x00uy; 0x97uy; 0x51uy; 0x35uy; 0x26uy; 0x2euy; 0xb9uy; 0x36uy; 0xa9uy; 0x87uy; 0x6euy; 0x1euy; 0xccuy; 0x91uy; 0x78uy; 0x53uy; 0x98uy; 0x86uy; 0x5buy; 0x9cuy; 0x74uy; 0x7duy; 0x88uy; 0x33uy; 0xe1uy; 0xdfuy; 0x37uy; 0x69uy; 0x2buy; 0xbbuy; 0xf1uy; 0x4duy; 0xf4uy; 0xd1uy; 0xf1uy; 0x39uy; 0x93uy; 0x17uy; 0x51uy; 0x19uy; 0xe3uy; 0x19uy; 0x1euy; 0x76uy; 0x37uy; 0x25uy; 0xfbuy; 0x09uy; 0x27uy; 0x6auy; 0xabuy; 0x67uy; 0x6fuy; 0x14uy; 0x12uy; 0x64uy; 0xe7uy; 0xc4uy; 0x07uy; 0xdfuy; 0x4duy; 0x17uy; 0xbbuy; 0x6duy; 0xe0uy; 0xe9uy; 0xb9uy; 0xabuy; 0xcauy; 0x10uy; 0x68uy; 0xafuy; 0x7euy; 0xb7uy; 0x33uy; 0x54uy; 0x73uy; 0x07uy; 0x6euy; 0xf7uy; 0x81uy; 0x97uy; 0x9cuy; 0x05uy; 0x6fuy; 0x84uy; 0x5fuy; 0xd2uy; 0x42uy; 0xfbuy; 0x38uy; 0xcfuy; 0xd1uy; 0x2fuy; 0x14uy; 0x30uy; 0x88uy; 0x98uy; 0x4duy; 0x5auy; 0xa9uy; 0x76uy; 0xd5uy; 0x4fuy; 0x3euy; 0x70uy; 0x6cuy; 0x85uy; 0x76uy; 0xd7uy; 0x01uy; 0xa0uy; 0x1auy; 0xc8uy; 0x4euy; 0xaauy; 0xacuy; 0x78uy; 0xfeuy; 0x46uy; 0xdeuy; 0x6auy; 0x05uy; 0x46uy; 0xa7uy; 0x43uy; 0x0cuy; 0xb9uy; 0xdeuy; 0xb9uy; 0x68uy; 0xfbuy; 0xceuy; 0x42uy; 0x99uy; 0x07uy; 0x4duy; 0x0buy; 0x3buy; 0x5auy; 0x30uy; 0x35uy; 0xa8uy; 0xf9uy; 0x3auy; 0x73uy; 0xefuy; 0x0fuy; 0xdbuy; 0x1euy; 0x16uy; 0x42uy; 0xc4uy; 0xbauy; 0xaeuy; 0x58uy; 0xaauy; 0xf8uy; 0xe5uy; 0x75uy; 0x2fuy; 0x1buy; 0x15uy; 0x5cuy; 0xfduy; 0x0auy; 0x97uy; 0xd0uy; 0xe4uy; 0x37uy; 0x83uy; 0x61uy; 0x5fuy; 0x43uy; 0xa6uy; 0xc7uy; 0x3fuy; 0x38uy; 0x59uy; 0xe6uy; 0xebuy; 0xa3uy; 0x90uy; 0xc3uy; 0xaauy; 0xaauy; 0x5auy; 0xd3uy; 0x34uy; 0xd4uy; 0x17uy; 0xc8uy; 0x65uy; 0x3euy; 0x57uy; 0xbcuy; 0x5euy; 0xdduy; 0x9euy; 0xb7uy; 0xf0uy; 0x2euy; 0x5buy; 0xb2uy; 0x1fuy; 0x8auy; 0x08uy; 0x0duy; 0x45uy; 0x91uy; 0x0buy; 0x29uy; 0x53uy; 0x4fuy; 0x4cuy; 0x5auy; 0x73uy; 0x56uy; 0xfeuy; 0xafuy; 0x41uy; 0x01uy; 0x39uy; 0x0auy; 0x24uy; 0x3cuy; 0x7euy; 0xbeuy; 0x4euy; 0x53uy; 0xf3uy; 0xebuy; 0x06uy; 0x66uy; 0x51uy; 0x28uy; 0x1duy; 0xbduy; 0x41uy; 0x0auy; 0x01uy; 0xabuy; 0x16uy; 0x47uy; 0x27uy; 0x47uy; 0x47uy; 0xf7uy; 0xcbuy; 0x46uy; 0x0auy; 0x70uy; 0x9euy; 0x01uy; 0x9cuy; 0x09uy; 0xe1uy; 0x2auy; 0x00uy; 0x1auy; 0xd8uy; 0xd4uy; 0x79uy; 0x9duy; 0x80uy; 0x15uy; 0x8euy; 0x53uy; 0x2auy; 0x65uy; 0x83uy; 0x78uy; 0x3euy; 0x03uy; 0x00uy; 0x07uy; 0x12uy; 0x1fuy; 0x33uy; 0x3euy; 0x7buy; 0x13uy; 0x37uy; 0xf1uy; 0xc3uy; 0xefuy; 0xb7uy; 0xc1uy; 0x20uy; 0x3cuy; 0x3euy; 0x67uy; 0x66uy; 0x5duy; 0x88uy; 0xa7uy; 0x7duy; 0x33uy; 0x50uy; 0x77uy; 0xb0uy; 0x28uy; 0x8euy; 0xe7uy; 0x2cuy; 0x2euy; 0x7auy; 0xf4uy; 0x3cuy; 0x8duy; 0x74uy; 0x83uy; 0xafuy; 0x8euy; 0x87uy; 0x0fuy; 0xe4uy; 0x50uy; 0xffuy; 0x84uy; 0x5cuy; 0x47uy; 0x0cuy; 0x6auy; 0x49uy; 0xbfuy; 0x42uy; 0x86uy; 0x77uy; 0x15uy; 0x48uy; 0xa5uy; 0x90uy; 0x5duy; 0x93uy; 0xd6uy; 0x2auy; 0x11uy; 0xd5uy; 0xd5uy; 0x11uy; 0xaauy; 0xceuy; 0xe7uy; 0x6fuy; 0xa5uy; 0xb0uy; 0x09uy; 0x2cuy; 0x8duy; 0xd3uy; 0x92uy; 0xf0uy; 0x5auy; 0x2auy; 0xdauy; 0x5buy; 0x1euy; 0xd5uy; 0x9auy; 0xc4uy; 0xc4uy; 0xf3uy; 0x49uy; 0x74uy; 0x41uy; 0xcauy; 0xe8uy; 0xc1uy; 0xf8uy; 0x44uy; 0xd6uy; 0x3cuy; 0xaeuy; 0x6cuy; 0x1duy; 0x9auy; 0x30uy; 0x04uy; 0x4duy; 0x27uy; 0x0euy; 0xb1uy; 0x5fuy; 0x59uy; 0xa2uy; 0x24uy; 0xe8uy; 0xe1uy; 0x98uy; 0xc5uy; 0x6auy; 0x4cuy; 0xfeuy; 0x41uy; 0xd2uy; 0x27uy; 0x42uy; 0x52uy; 0xe1uy; 0xe9uy; 0x7duy; 0x62uy; 0xe4uy; 0x88uy; 0x0fuy; 0xaduy; 0xb2uy; 0x70uy; 0xcbuy; 0x9duy; 0x4cuy; 0x27uy; 0x2euy; 0x76uy; 0x1euy; 0x1auy; 0x63uy; 0x65uy; 0xf5uy; 0x3buy; 0xf8uy; 0x57uy; 0x69uy; 0xebuy; 0x5buy; 0x38uy; 0x26uy; 0x39uy; 0x33uy; 0x25uy; 0x45uy; 0x3euy; 0x91uy; 0xb8uy; 0xd8uy; 0xc7uy; 0xd5uy; 0x42uy; 0xc0uy; 0x22uy; 0x31uy; 0x74uy; 0xf4uy; 0xbcuy; 0x0cuy; 0x23uy; 0xf1uy; 0xcauy; 0xc1uy; 0x8duy; 0xd7uy; 0xbeuy; 0xc9uy; 0x62uy; 0xe4uy; 0x08uy; 0x1auy; 0xcfuy; 0x36uy; 0xd5uy; 0xfeuy; 0x55uy; 0x21uy; 0x59uy; 0x91uy; 0x87uy; 0x87uy; 0xdfuy; 0x06uy; 0xdbuy; 0xdfuy; 0x96uy; 0x45uy; 0x58uy; 0xdauy; 0x05uy; 0xcduy; 0x50uy; 0x4duy; 0xd2uy; 0x7duy; 0x05uy; 0x18uy; 0x73uy; 0x6auy; 0x8duy; 0x11uy; 0x85uy; 0xa6uy; 0x88uy; 0xe8uy; 0xdauy; 0xe6uy; 0x30uy; 0x33uy; 0xa4uy; 0x89uy; 0x31uy; 0x75uy; 0xbeuy; 0x69uy; 0x43uy; 0x84uy; 0x43uy; 0x50uy; 0x87uy; 0xdduy; 0x71uy; 0x36uy; 0x83uy; 0xc3uy; 0x78uy; 0x74uy; 0x24uy; 0x0auy; 0xeduy; 0x7buy; 0xdbuy; 0xa4uy; 0x24uy; 0x0buy; 0xb9uy; 0x7euy; 0x5duy; 0xffuy; 0xdeuy; 0xb1uy; 0xefuy; 0x61uy; 0x5auy; 0x45uy; 0x33uy; 0xf6uy; 0x17uy; 0x07uy; 0x08uy; 0x98uy; 0x83uy; 0x92uy; 0x0fuy; 0x23uy; 0x6duy; 0xe6uy; 0xaauy; 0x17uy; 0x54uy; 0xaduy; 0x6auy; 0xc8uy; 0xdbuy; 0x26uy; 0xbeuy; 0xb8uy; 0xb6uy; 0x08uy; 0xfauy; 0x68uy; 0xf1uy; 0xd7uy; 0x79uy; 0x6fuy; 0x18uy; 0xb4uy; 0x9euy; 0x2duy; 0x3fuy; 0x1buy; 0x64uy; 0xafuy; 0x8duy; 0x06uy; 0x0euy; 0x49uy; 0x28uy; 0xe0uy; 0x5duy; 0x45uy; 0x68uy; 0x13uy; 0x87uy; 0xfauy; 0xdeuy; 0x40uy; 0x7buy; 0xd2uy; 0xc3uy; 0x94uy; 0xd5uy; 0xe1uy; 0xd9uy; 0xc2uy; 0xafuy; 0x55uy; 0x89uy; 0xebuy; 0xb4uy; 0x12uy; 0x59uy; 0xa8uy; 0xd4uy; 0xc5uy; 0x29uy; 0x66uy; 0x38uy; 0xe6uy; 0xacuy; 0x22uy; 0x22uy; 0xd9uy; 0x64uy; 0x9buy; 0x34uy; 0x0auy; 0x32uy; 0x9fuy; 0xc2uy; 0xbfuy; 0x17uy; 0x6cuy; 0x3fuy; 0x71uy; 0x7auy; 0x38uy; 0x6buy; 0x98uy; 0xfbuy; 0x49uy; 0x36uy; 0x89uy; 0xc9uy; 0xe2uy; 0xd6uy; 0xc7uy; 0x5duy; 0xd0uy; 0x69uy; 0x5fuy; 0x23uy; 0x35uy; 0xc9uy; 0x30uy; 0xe2uy; 0xfduy; 0x44uy; 0x58uy; 0x39uy; 0xd7uy; 0x97uy; 0xfbuy; 0x5cuy; 0x00uy; 0xd5uy; 0x4fuy; 0x7auy; 0x1auy; 0x95uy; 0x8buy; 0x62uy; 0x4buy; 0xceuy; 0xe5uy; 0x91uy; 0x21uy; 0x7buy; 0x30uy; 0x00uy; 0xd6uy; 0xdduy; 0x6duy; 0x02uy; 0x86uy; 0x49uy; 0x0fuy; 0x3cuy; 0x1auy; 0x27uy; 0x3cuy; 0xd3uy; 0x0euy; 0x71uy; 0xf2uy; 0xffuy; 0xf5uy; 0x2fuy; 0x87uy; 0xacuy; 0x67uy; 0x59uy; 0x81uy; 0xa3uy; 0xf7uy; 0xf8uy; 0xd6uy; 0x11uy; 0x0cuy; 0x84uy; 0xa9uy; 0x03uy; 0xeeuy; 0x2auy; 0xc4uy; 0xf3uy; 0x22uy; 0xabuy; 0x7cuy; 0xe2uy; 0x25uy; 0xf5uy; 0x67uy; 0xa3uy; 0xe4uy; 0x11uy; 0xe0uy; 0x59uy; 0xb3uy; 0xcauy; 0x87uy; 0xa0uy; 0xaeuy; 0xc9uy; 0xa6uy; 0x62uy; 0x1buy; 0x6euy; 0x4duy; 0x02uy; 0x6buy; 0x07uy; 0x9duy; 0xfduy; 0xd0uy; 0x92uy; 0x06uy; 0xe1uy; 0xb2uy; 0x9auy; 0x4auy; 0x1fuy; 0x1fuy; 0x13uy; 0x49uy; 0x99uy; 0x97uy; 0x08uy; 0xdeuy; 0x7fuy; 0x98uy; 0xafuy; 0x51uy; 0x98uy; 0xeeuy; 0x2cuy; 0xcbuy; 0xf0uy; 0x0buy; 0xc6uy; 0xb6uy; 0xb7uy; 0x2duy; 0x9auy; 0xb1uy; 0xacuy; 0xa6uy; 0xe3uy; 0x15uy; 0x77uy; 0x9duy; 0x6buy; 0x1auy; 0xe4uy; 0xfcuy; 0x8buy; 0xf2uy; 0x17uy; 0x59uy; 0x08uy; 0x04uy; 0x58uy; 0x81uy; 0x9duy; 0x1buy; 0x1buy; 0x69uy; 0x55uy; 0xc2uy; 0xb4uy; 0x3cuy; 0x1fuy; 0x50uy; 0xf1uy; 0x7fuy; 0x77uy; 0x90uy; 0x4cuy; 0x66uy; 0x40uy; 0x5auy; 0xc0uy; 0x33uy; 0x1fuy; 0xcbuy; 0x05uy; 0x6duy; 0x5cuy; 0x06uy; 0x87uy; 0x52uy; 0xa2uy; 0x8fuy; 0x26uy; 0xd5uy; 0x4fuy; ] in assert_norm (List.Tot.length l = 1024); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input9_len: (x:UInt32.t { UInt32.v x = B.length input9 }) = 1024ul let output9: (b: B.buffer UInt8.t { B.length b = 1040 /\ B.recallable b }) = [@inline_let] let l = [ 0xe5uy; 0x26uy; 0xa4uy; 0x3duy; 0xbduy; 0x33uy; 0xd0uy; 0x4buy; 0x6fuy; 0x05uy; 0xa7uy; 0x6euy; 0x12uy; 0x7auy; 0xd2uy; 0x74uy; 0xa6uy; 0xdduy; 0xbduy; 0x95uy; 0xebuy; 0xf9uy; 0xa4uy; 0xf1uy; 0x59uy; 0x93uy; 0x91uy; 0x70uy; 0xd9uy; 0xfeuy; 0x9auy; 0xcduy; 0x53uy; 0x1fuy; 0x3auy; 0xabuy; 0xa6uy; 0x7cuy; 0x9fuy; 0xa6uy; 0x9euy; 0xbduy; 0x99uy; 0xd9uy; 0xb5uy; 0x97uy; 0x44uy; 0xd5uy; 0x14uy; 0x48uy; 0x4duy; 0x9duy; 0xc0uy; 0xd0uy; 0x05uy; 0x96uy; 0xebuy; 0x4cuy; 0x78uy; 0x55uy; 0x09uy; 0x08uy; 0x01uy; 0x02uy; 0x30uy; 0x90uy; 0x7buy; 0x96uy; 0x7auy; 0x7buy; 0x5fuy; 0x30uy; 0x41uy; 0x24uy; 0xceuy; 0x68uy; 0x61uy; 0x49uy; 0x86uy; 0x57uy; 0x82uy; 0xdduy; 0x53uy; 0x1cuy; 0x51uy; 0x28uy; 0x2buy; 0x53uy; 0x6euy; 0x2duy; 0xc2uy; 0x20uy; 0x4cuy; 0xdduy; 0x8fuy; 0x65uy; 0x10uy; 0x20uy; 0x50uy; 0xdduy; 0x9duy; 0x50uy; 0xe5uy; 0x71uy; 0x40uy; 0x53uy; 0x69uy; 0xfcuy; 0x77uy; 0x48uy; 0x11uy; 0xb9uy; 0xdeuy; 0xa4uy; 0x8duy; 0x58uy; 0xe4uy; 0xa6uy; 0x1auy; 0x18uy; 0x47uy; 0x81uy; 0x7euy; 0xfcuy; 0xdduy; 0xf6uy; 0xefuy; 0xceuy; 0x2fuy; 0x43uy; 0x68uy; 0xd6uy; 0x06uy; 0xe2uy; 0x74uy; 0x6auy; 0xaduy; 0x90uy; 0xf5uy; 0x37uy; 0xf3uy; 0x3duy; 0x82uy; 0x69uy; 0x40uy; 0xe9uy; 0x6buy; 0xa7uy; 0x3duy; 0xa8uy; 0x1euy; 0xd2uy; 0x02uy; 0x7cuy; 0xb7uy; 0x9buy; 0xe4uy; 0xdauy; 0x8fuy; 0x95uy; 0x06uy; 0xc5uy; 0xdfuy; 0x73uy; 0xa3uy; 0x20uy; 0x9auy; 0x49uy; 0xdeuy; 0x9cuy; 0xbcuy; 0xeeuy; 0x14uy; 0x3fuy; 0x81uy; 0x5euy; 0xf8uy; 0x3buy; 0x59uy; 0x3cuy; 0xe1uy; 0x68uy; 0x12uy; 0x5auy; 0x3auy; 0x76uy; 0x3auy; 0x3fuy; 0xf7uy; 0x87uy; 0x33uy; 0x0auy; 0x01uy; 0xb8uy; 0xd4uy; 0xeduy; 0xb6uy; 0xbeuy; 0x94uy; 0x5euy; 0x70uy; 0x40uy; 0x56uy; 0x67uy; 0x1fuy; 0x50uy; 0x44uy; 0x19uy; 0xceuy; 0x82uy; 0x70uy; 0x10uy; 0x87uy; 0x13uy; 0x20uy; 0x0buy; 0x4cuy; 0x5auy; 0xb6uy; 0xf6uy; 0xa7uy; 0xaeuy; 0x81uy; 0x75uy; 0x01uy; 0x81uy; 0xe6uy; 0x4buy; 0x57uy; 0x7cuy; 0xdduy; 0x6duy; 0xf8uy; 0x1cuy; 0x29uy; 0x32uy; 0xf7uy; 0xdauy; 0x3cuy; 0x2duy; 0xf8uy; 0x9buy; 0x25uy; 0x6euy; 0x00uy; 0xb4uy; 0xf7uy; 0x2fuy; 0xf7uy; 0x04uy; 0xf7uy; 0xa1uy; 0x56uy; 0xacuy; 0x4fuy; 0x1auy; 0x64uy; 0xb8uy; 0x47uy; 0x55uy; 0x18uy; 0x7buy; 0x07uy; 0x4duy; 0xbduy; 0x47uy; 0x24uy; 0x80uy; 0x5duy; 0xa2uy; 0x70uy; 0xc5uy; 0xdduy; 0x8euy; 0x82uy; 0xd4uy; 0xebuy; 0xecuy; 0xb2uy; 0x0cuy; 0x39uy; 0xd2uy; 0x97uy; 0xc1uy; 0xcbuy; 0xebuy; 0xf4uy; 0x77uy; 0x59uy; 0xb4uy; 0x87uy; 0xefuy; 0xcbuy; 0x43uy; 0x2duy; 0x46uy; 0x54uy; 0xd1uy; 0xa7uy; 0xd7uy; 0x15uy; 0x99uy; 0x0auy; 0x43uy; 0xa1uy; 0xe0uy; 0x99uy; 0x33uy; 0x71uy; 0xc1uy; 0xeduy; 0xfeuy; 0x72uy; 0x46uy; 0x33uy; 0x8euy; 0x91uy; 0x08uy; 0x9fuy; 0xc8uy; 0x2euy; 0xcauy; 0xfauy; 0xdcuy; 0x59uy; 0xd5uy; 0xc3uy; 0x76uy; 0x84uy; 0x9fuy; 0xa3uy; 0x37uy; 0x68uy; 0xc3uy; 0xf0uy; 0x47uy; 0x2cuy; 0x68uy; 0xdbuy; 0x5euy; 0xc3uy; 0x49uy; 0x4cuy; 0xe8uy; 0x92uy; 0x85uy; 0xe2uy; 0x23uy; 0xd3uy; 0x3fuy; 0xaduy; 0x32uy; 0xe5uy; 0x2buy; 0x82uy; 0xd7uy; 0x8fuy; 0x99uy; 0x0auy; 0x59uy; 0x5cuy; 0x45uy; 0xd9uy; 0xb4uy; 0x51uy; 0x52uy; 0xc2uy; 0xaeuy; 0xbfuy; 0x80uy; 0xcfuy; 0xc9uy; 0xc9uy; 0x51uy; 0x24uy; 0x2auy; 0x3buy; 0x3auy; 0x4duy; 0xaeuy; 0xebuy; 0xbduy; 0x22uy; 0xc3uy; 0x0euy; 0x0fuy; 0x59uy; 0x25uy; 0x92uy; 0x17uy; 0xe9uy; 0x74uy; 0xc7uy; 0x8buy; 0x70uy; 0x70uy; 0x36uy; 0x55uy; 0x95uy; 0x75uy; 0x4buy; 0xaduy; 0x61uy; 0x2buy; 0x09uy; 0xbcuy; 0x82uy; 0xf2uy; 0x6euy; 0x94uy; 0x43uy; 0xaeuy; 0xc3uy; 0xd5uy; 0xcduy; 0x8euy; 0xfeuy; 0x5buy; 0x9auy; 0x88uy; 0x43uy; 0x01uy; 0x75uy; 0xb2uy; 0x23uy; 0x09uy; 0xf7uy; 0x89uy; 0x83uy; 0xe7uy; 0xfauy; 0xf9uy; 0xb4uy; 0x9buy; 0xf8uy; 0xefuy; 0xbduy; 0x1cuy; 0x92uy; 0xc1uy; 0xdauy; 0x7euy; 0xfeuy; 0x05uy; 0xbauy; 0x5auy; 0xcduy; 0x07uy; 0x6auy; 0x78uy; 0x9euy; 0x5duy; 0xfbuy; 0x11uy; 0x2fuy; 0x79uy; 0x38uy; 0xb6uy; 0xc2uy; 0x5buy; 0x6buy; 0x51uy; 0xb4uy; 0x71uy; 0xdduy; 0xf7uy; 0x2auy; 0xe4uy; 0xf4uy; 0x72uy; 0x76uy; 0xaduy; 0xc2uy; 0xdduy; 0x64uy; 0x5duy; 0x79uy; 0xb6uy; 0xf5uy; 0x7auy; 0x77uy; 0x20uy; 0x05uy; 0x3duy; 0x30uy; 0x06uy; 0xd4uy; 0x4cuy; 0x0auy; 0x2cuy; 0x98uy; 0x5auy; 0xb9uy; 0xd4uy; 0x98uy; 0xa9uy; 0x3fuy; 0xc6uy; 0x12uy; 0xeauy; 0x3buy; 0x4buy; 0xc5uy; 0x79uy; 0x64uy; 0x63uy; 0x6buy; 0x09uy; 0x54uy; 0x3buy; 0x14uy; 0x27uy; 0xbauy; 0x99uy; 0x80uy; 0xc8uy; 0x72uy; 0xa8uy; 0x12uy; 0x90uy; 0x29uy; 0xbauy; 0x40uy; 0x54uy; 0x97uy; 0x2buy; 0x7buy; 0xfeuy; 0xebuy; 0xcduy; 0x01uy; 0x05uy; 0x44uy; 0x72uy; 0xdbuy; 0x99uy; 0xe4uy; 0x61uy; 0xc9uy; 0x69uy; 0xd6uy; 0xb9uy; 0x28uy; 0xd1uy; 0x05uy; 0x3euy; 0xf9uy; 0x0buy; 0x49uy; 0x0auy; 0x49uy; 0xe9uy; 0x8duy; 0x0euy; 0xa7uy; 0x4auy; 0x0fuy; 0xafuy; 0x32uy; 0xd0uy; 0xe0uy; 0xb2uy; 0x3auy; 0x55uy; 0x58uy; 0xfeuy; 0x5cuy; 0x28uy; 0x70uy; 0x51uy; 0x23uy; 0xb0uy; 0x7buy; 0x6auy; 0x5fuy; 0x1euy; 0xb8uy; 0x17uy; 0xd7uy; 0x94uy; 0x15uy; 0x8fuy; 0xeeuy; 0x20uy; 0xc7uy; 0x42uy; 0x25uy; 0x3euy; 0x9auy; 0x14uy; 0xd7uy; 0x60uy; 0x72uy; 0x39uy; 0x47uy; 0x48uy; 0xa9uy; 0xfeuy; 0xdduy; 0x47uy; 0x0auy; 0xb1uy; 0xe6uy; 0x60uy; 0x28uy; 0x8cuy; 0x11uy; 0x68uy; 0xe1uy; 0xffuy; 0xd7uy; 0xceuy; 0xc8uy; 0xbeuy; 0xb3uy; 0xfeuy; 0x27uy; 0x30uy; 0x09uy; 0x70uy; 0xd7uy; 0xfauy; 0x02uy; 0x33uy; 0x3auy; 0x61uy; 0x2euy; 0xc7uy; 0xffuy; 0xa4uy; 0x2auy; 0xa8uy; 0x6euy; 0xb4uy; 0x79uy; 0x35uy; 0x6duy; 0x4cuy; 0x1euy; 0x38uy; 0xf8uy; 0xeeuy; 0xd4uy; 0x84uy; 0x4euy; 0x6euy; 0x28uy; 0xa7uy; 0xceuy; 0xc8uy; 0xc1uy; 0xcfuy; 0x80uy; 0x05uy; 0xf3uy; 0x04uy; 0xefuy; 0xc8uy; 0x18uy; 0x28uy; 0x2euy; 0x8duy; 0x5euy; 0x0cuy; 0xdfuy; 0xb8uy; 0x5fuy; 0x96uy; 0xe8uy; 0xc6uy; 0x9cuy; 0x2fuy; 0xe5uy; 0xa6uy; 0x44uy; 0xd7uy; 0xe7uy; 0x99uy; 0x44uy; 0x0cuy; 0xecuy; 0xd7uy; 0x05uy; 0x60uy; 0x97uy; 0xbbuy; 0x74uy; 0x77uy; 0x58uy; 0xd5uy; 0xbbuy; 0x48uy; 0xdeuy; 0x5auy; 0xb2uy; 0x54uy; 0x7fuy; 0x0euy; 0x46uy; 0x70uy; 0x6auy; 0x6fuy; 0x78uy; 0xa5uy; 0x08uy; 0x89uy; 0x05uy; 0x4euy; 0x7euy; 0xa0uy; 0x69uy; 0xb4uy; 0x40uy; 0x60uy; 0x55uy; 0x77uy; 0x75uy; 0x9buy; 0x19uy; 0xf2uy; 0xd5uy; 0x13uy; 0x80uy; 0x77uy; 0xf9uy; 0x4buy; 0x3fuy; 0x1euy; 0xeeuy; 0xe6uy; 0x76uy; 0x84uy; 0x7buy; 0x8cuy; 0xe5uy; 0x27uy; 0xa8uy; 0x0auy; 0x91uy; 0x01uy; 0x68uy; 0x71uy; 0x8auy; 0x3fuy; 0x06uy; 0xabuy; 0xf6uy; 0xa9uy; 0xa5uy; 0xe6uy; 0x72uy; 0x92uy; 0xe4uy; 0x67uy; 0xe2uy; 0xa2uy; 0x46uy; 0x35uy; 0x84uy; 0x55uy; 0x7duy; 0xcauy; 0xa8uy; 0x85uy; 0xd0uy; 0xf1uy; 0x3fuy; 0xbeuy; 0xd7uy; 0x34uy; 0x64uy; 0xfcuy; 0xaeuy; 0xe3uy; 0xe4uy; 0x04uy; 0x9fuy; 0x66uy; 0x02uy; 0xb9uy; 0x88uy; 0x10uy; 0xd9uy; 0xc4uy; 0x4cuy; 0x31uy; 0x43uy; 0x7auy; 0x93uy; 0xe2uy; 0x9buy; 0x56uy; 0x43uy; 0x84uy; 0xdcuy; 0xdcuy; 0xdeuy; 0x1duy; 0xa4uy; 0x02uy; 0x0euy; 0xc2uy; 0xefuy; 0xc3uy; 0xf8uy; 0x78uy; 0xd1uy; 0xb2uy; 0x6buy; 0x63uy; 0x18uy; 0xc9uy; 0xa9uy; 0xe5uy; 0x72uy; 0xd8uy; 0xf3uy; 0xb9uy; 0xd1uy; 0x8auy; 0xc7uy; 0x1auy; 0x02uy; 0x27uy; 0x20uy; 0x77uy; 0x10uy; 0xe5uy; 0xc8uy; 0xd4uy; 0x4auy; 0x47uy; 0xe5uy; 0xdfuy; 0x5fuy; 0x01uy; 0xaauy; 0xb0uy; 0xd4uy; 0x10uy; 0xbbuy; 0x69uy; 0xe3uy; 0x36uy; 0xc8uy; 0xe1uy; 0x3duy; 0x43uy; 0xfbuy; 0x86uy; 0xcduy; 0xccuy; 0xbfuy; 0xf4uy; 0x88uy; 0xe0uy; 0x20uy; 0xcauy; 0xb7uy; 0x1buy; 0xf1uy; 0x2fuy; 0x5cuy; 0xeeuy; 0xd4uy; 0xd3uy; 0xa3uy; 0xccuy; 0xa4uy; 0x1euy; 0x1cuy; 0x47uy; 0xfbuy; 0xbfuy; 0xfcuy; 0xa2uy; 0x41uy; 0x55uy; 0x9duy; 0xf6uy; 0x5auy; 0x5euy; 0x65uy; 0x32uy; 0x34uy; 0x7buy; 0x52uy; 0x8duy; 0xd5uy; 0xd0uy; 0x20uy; 0x60uy; 0x03uy; 0xabuy; 0x3fuy; 0x8cuy; 0xd4uy; 0x21uy; 0xeauy; 0x2auy; 0xd9uy; 0xc4uy; 0xd0uy; 0xd3uy; 0x65uy; 0xd8uy; 0x7auy; 0x13uy; 0x28uy; 0x62uy; 0x32uy; 0x4buy; 0x2cuy; 0x87uy; 0x93uy; 0xa8uy; 0xb4uy; 0x52uy; 0x45uy; 0x09uy; 0x44uy; 0xecuy; 0xecuy; 0xc3uy; 0x17uy; 0xdbuy; 0x9auy; 0x4duy; 0x5cuy; 0xa9uy; 0x11uy; 0xd4uy; 0x7duy; 0xafuy; 0x9euy; 0xf1uy; 0x2duy; 0xb2uy; 0x66uy; 0xc5uy; 0x1duy; 0xeduy; 0xb7uy; 0xcduy; 0x0buy; 0x25uy; 0x5euy; 0x30uy; 0x47uy; 0x3fuy; 0x40uy; 0xf4uy; 0xa1uy; 0xa0uy; 0x00uy; 0x94uy; 0x10uy; 0xc5uy; 0x6auy; 0x63uy; 0x1auy; 0xd5uy; 0x88uy; 0x92uy; 0x8euy; 0x82uy; 0x39uy; 0x87uy; 0x3cuy; 0x78uy; 0x65uy; 0x58uy; 0x42uy; 0x75uy; 0x5buy; 0xdduy; 0x77uy; 0x3euy; 0x09uy; 0x4euy; 0x76uy; 0x5buy; 0xe6uy; 0x0euy; 0x4duy; 0x38uy; 0xb2uy; 0xc0uy; 0xb8uy; 0x95uy; 0x01uy; 0x7auy; 0x10uy; 0xe0uy; 0xfbuy; 0x07uy; 0xf2uy; 0xabuy; 0x2duy; 0x8cuy; 0x32uy; 0xeduy; 0x2buy; 0xc0uy; 0x46uy; 0xc2uy; 0xf5uy; 0x38uy; 0x83uy; 0xf0uy; 0x17uy; 0xecuy; 0xc1uy; 0x20uy; 0x6auy; 0x9auy; 0x0buy; 0x00uy; 0xa0uy; 0x98uy; 0x22uy; 0x50uy; 0x23uy; 0xd5uy; 0x80uy; 0x6buy; 0xf6uy; 0x1fuy; 0xc3uy; 0xccuy; 0x97uy; 0xc9uy; 0x24uy; 0x9fuy; 0xf3uy; 0xafuy; 0x43uy; 0x14uy; 0xd5uy; 0xa0uy; ] in assert_norm (List.Tot.length l = 1040); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output9_len: (x:UInt32.t { UInt32.v x = B.length output9 }) = 1040ul let key10: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x35uy; 0x4euy; 0xb5uy; 0x70uy; 0x50uy; 0x42uy; 0x8auy; 0x85uy; 0xf2uy; 0xfbuy; 0xeduy; 0x7buy; 0xd0uy; 0x9euy; 0x97uy; 0xcauy; 0xfauy; 0x98uy; 0x66uy; 0x63uy; 0xeeuy; 0x37uy; 0xccuy; 0x52uy; 0xfeuy; 0xd1uy; 0xdfuy; 0x95uy; 0x15uy; 0x34uy; 0x29uy; 0x38uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key10_len: (x:UInt32.t { UInt32.v x = B.length key10 }) = 32ul let nonce10: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xfduy; 0x87uy; 0xd4uy; 0xd8uy; 0x62uy; 0xfduy; 0xecuy; 0xaauy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce10_len: (x:UInt32.t { UInt32.v x = B.length nonce10 }) = 12ul let aad10: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0xd6uy; 0x31uy; 0xdauy; 0x5duy; 0x42uy; 0x5euy; 0xd7uy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad10_len: (x:UInt32.t { UInt32.v x = B.length aad10 }) = 7ul let input10: (b: B.buffer UInt8.t { B.length b = 1933 /\ B.recallable b /\ B.disjoint b aad10 }) = B.recall aad10;[@inline_let] let l = [ 0x7auy; 0x57uy; 0xf2uy; 0xc7uy; 0x06uy; 0x3fuy; 0x50uy; 0x7buy; 0x36uy; 0x1auy; 0x66uy; 0x5cuy; 0xb9uy; 0x0euy; 0x5euy; 0x3buy; 0x45uy; 0x60uy; 0xbeuy; 0x9auy; 0x31uy; 0x9fuy; 0xffuy; 0x5duy; 0x66uy; 0x34uy; 0xb4uy; 0xdcuy; 0xfbuy; 0x9duy; 0x8euy; 0xeeuy; 0x6auy; 0x33uy; 0xa4uy; 0x07uy; 0x3cuy; 0xf9uy; 0x4cuy; 0x30uy; 0xa1uy; 0x24uy; 0x52uy; 0xf9uy; 0x50uy; 0x46uy; 0x88uy; 0x20uy; 0x02uy; 0x32uy; 0x3auy; 0x0euy; 0x99uy; 0x63uy; 0xafuy; 0x1fuy; 0x15uy; 0x28uy; 0x2auy; 0x05uy; 0xffuy; 0x57uy; 0x59uy; 0x5euy; 0x18uy; 0xa1uy; 0x1fuy; 0xd0uy; 0x92uy; 0x5cuy; 0x88uy; 0x66uy; 0x1buy; 0x00uy; 0x64uy; 0xa5uy; 0x93uy; 0x8duy; 0x06uy; 0x46uy; 0xb0uy; 0x64uy; 0x8buy; 0x8buy; 0xefuy; 0x99uy; 0x05uy; 0x35uy; 0x85uy; 0xb3uy; 0xf3uy; 0x33uy; 0xbbuy; 0xecuy; 0x66uy; 0xb6uy; 0x3duy; 0x57uy; 0x42uy; 0xe3uy; 0xb4uy; 0xc6uy; 0xaauy; 0xb0uy; 0x41uy; 0x2auy; 0xb9uy; 0x59uy; 0xa9uy; 0xf6uy; 0x3euy; 0x15uy; 0x26uy; 0x12uy; 0x03uy; 0x21uy; 0x4cuy; 0x74uy; 0x43uy; 0x13uy; 0x2auy; 0x03uy; 0x27uy; 0x09uy; 0xb4uy; 0xfbuy; 0xe7uy; 0xb7uy; 0x40uy; 0xffuy; 0x5euy; 0xceuy; 0x48uy; 0x9auy; 0x60uy; 0xe3uy; 0x8buy; 0x80uy; 0x8cuy; 0x38uy; 0x2duy; 0xcbuy; 0x93uy; 0x37uy; 0x74uy; 0x05uy; 0x52uy; 0x6fuy; 0x73uy; 0x3euy; 0xc3uy; 0xbcuy; 0xcauy; 0x72uy; 0x0auy; 0xebuy; 0xf1uy; 0x3buy; 0xa0uy; 0x95uy; 0xdcuy; 0x8auy; 0xc4uy; 0xa9uy; 0xdcuy; 0xcauy; 0x44uy; 0xd8uy; 0x08uy; 0x63uy; 0x6auy; 0x36uy; 0xd3uy; 0x3cuy; 0xb8uy; 0xacuy; 0x46uy; 0x7duy; 0xfduy; 0xaauy; 0xebuy; 0x3euy; 0x0fuy; 0x45uy; 0x8fuy; 0x49uy; 0xdauy; 0x2buy; 0xf2uy; 0x12uy; 0xbduy; 0xafuy; 0x67uy; 0x8auy; 0x63uy; 0x48uy; 0x4buy; 0x55uy; 0x5fuy; 0x6duy; 0x8cuy; 0xb9uy; 0x76uy; 0x34uy; 0x84uy; 0xaeuy; 0xc2uy; 0xfcuy; 0x52uy; 0x64uy; 0x82uy; 0xf7uy; 0xb0uy; 0x06uy; 0xf0uy; 0x45uy; 0x73uy; 0x12uy; 0x50uy; 0x30uy; 0x72uy; 0xeauy; 0x78uy; 0x9auy; 0xa8uy; 0xafuy; 0xb5uy; 0xe3uy; 0xbbuy; 0x77uy; 0x52uy; 0xecuy; 0x59uy; 0x84uy; 0xbfuy; 0x6buy; 0x8fuy; 0xceuy; 0x86uy; 0x5euy; 0x1fuy; 0x23uy; 0xe9uy; 0xfbuy; 0x08uy; 0x86uy; 0xf7uy; 0x10uy; 0xb9uy; 0xf2uy; 0x44uy; 0x96uy; 0x44uy; 0x63uy; 0xa9uy; 0xa8uy; 0x78uy; 0x00uy; 0x23uy; 0xd6uy; 0xc7uy; 0xe7uy; 0x6euy; 0x66uy; 0x4fuy; 0xccuy; 0xeeuy; 0x15uy; 0xb3uy; 0xbduy; 0x1duy; 0xa0uy; 0xe5uy; 0x9cuy; 0x1buy; 0x24uy; 0x2cuy; 0x4duy; 0x3cuy; 0x62uy; 0x35uy; 0x9cuy; 0x88uy; 0x59uy; 0x09uy; 0xdduy; 0x82uy; 0x1buy; 0xcfuy; 0x0auy; 0x83uy; 0x6buy; 0x3fuy; 0xaeuy; 0x03uy; 0xc4uy; 0xb4uy; 0xdduy; 0x7euy; 0x5buy; 0x28uy; 0x76uy; 0x25uy; 0x96uy; 0xd9uy; 0xc9uy; 0x9duy; 0x5fuy; 0x86uy; 0xfauy; 0xf6uy; 0xd7uy; 0xd2uy; 0xe6uy; 0x76uy; 0x1duy; 0x0fuy; 0xa1uy; 0xdcuy; 0x74uy; 0x05uy; 0x1buy; 0x1duy; 0xe0uy; 0xcduy; 0x16uy; 0xb0uy; 0xa8uy; 0x8auy; 0x34uy; 0x7buy; 0x15uy; 0x11uy; 0x77uy; 0xe5uy; 0x7buy; 0x7euy; 0x20uy; 0xf7uy; 0xdauy; 0x38uy; 0xdauy; 0xceuy; 0x70uy; 0xe9uy; 0xf5uy; 0x6cuy; 0xd9uy; 0xbeuy; 0x0cuy; 0x4cuy; 0x95uy; 0x4cuy; 0xc2uy; 0x9buy; 0x34uy; 0x55uy; 0x55uy; 0xe1uy; 0xf3uy; 0x46uy; 0x8euy; 0x48uy; 0x74uy; 0x14uy; 0x4fuy; 0x9duy; 0xc9uy; 0xf5uy; 0xe8uy; 0x1auy; 0xf0uy; 0x11uy; 0x4auy; 0xc1uy; 0x8duy; 0xe0uy; 0x93uy; 0xa0uy; 0xbeuy; 0x09uy; 0x1cuy; 0x2buy; 0x4euy; 0x0fuy; 0xb2uy; 0x87uy; 0x8buy; 0x84uy; 0xfeuy; 0x92uy; 0x32uy; 0x14uy; 0xd7uy; 0x93uy; 0xdfuy; 0xe7uy; 0x44uy; 0xbcuy; 0xc5uy; 0xaeuy; 0x53uy; 0x69uy; 0xd8uy; 0xb3uy; 0x79uy; 0x37uy; 0x80uy; 0xe3uy; 0x17uy; 0x5cuy; 0xecuy; 0x53uy; 0x00uy; 0x9auy; 0xe3uy; 0x8euy; 0xdcuy; 0x38uy; 0xb8uy; 0x66uy; 0xf0uy; 0xd3uy; 0xaduy; 0x1duy; 0x02uy; 0x96uy; 0x86uy; 0x3euy; 0x9duy; 0x3buy; 0x5duy; 0xa5uy; 0x7fuy; 0x21uy; 0x10uy; 0xf1uy; 0x1fuy; 0x13uy; 0x20uy; 0xf9uy; 0x57uy; 0x87uy; 0x20uy; 0xf5uy; 0x5fuy; 0xf1uy; 0x17uy; 0x48uy; 0x0auy; 0x51uy; 0x5auy; 0xcduy; 0x19uy; 0x03uy; 0xa6uy; 0x5auy; 0xd1uy; 0x12uy; 0x97uy; 0xe9uy; 0x48uy; 0xe2uy; 0x1duy; 0x83uy; 0x75uy; 0x50uy; 0xd9uy; 0x75uy; 0x7duy; 0x6auy; 0x82uy; 0xa1uy; 0xf9uy; 0x4euy; 0x54uy; 0x87uy; 0x89uy; 0xc9uy; 0x0cuy; 0xb7uy; 0x5buy; 0x6auy; 0x91uy; 0xc1uy; 0x9cuy; 0xb2uy; 0xa9uy; 0xdcuy; 0x9auy; 0xa4uy; 0x49uy; 0x0auy; 0x6duy; 0x0duy; 0xbbuy; 0xdeuy; 0x86uy; 0x44uy; 0xdduy; 0x5duy; 0x89uy; 0x2buy; 0x96uy; 0x0fuy; 0x23uy; 0x95uy; 0xaduy; 0xccuy; 0xa2uy; 0xb3uy; 0xb9uy; 0x7euy; 0x74uy; 0x38uy; 0xbauy; 0x9fuy; 0x73uy; 0xaeuy; 0x5fuy; 0xf8uy; 0x68uy; 0xa2uy; 0xe0uy; 0xa9uy; 0xceuy; 0xbduy; 0x40uy; 0xd4uy; 0x4cuy; 0x6buy; 0xd2uy; 0x56uy; 0x62uy; 0xb0uy; 0xccuy; 0x63uy; 0x7euy; 0x5buy; 0xd3uy; 0xaeuy; 0xd1uy; 0x75uy; 0xceuy; 0xbbuy; 0xb4uy; 0x5buy; 0xa8uy; 0xf8uy; 0xb4uy; 0xacuy; 0x71uy; 0x75uy; 0xaauy; 0xc9uy; 0x9fuy; 0xbbuy; 0x6cuy; 0xaduy; 0x0fuy; 0x55uy; 0x5duy; 0xe8uy; 0x85uy; 0x7duy; 0xf9uy; 0x21uy; 0x35uy; 0xeauy; 0x92uy; 0x85uy; 0x2buy; 0x00uy; 0xecuy; 0x84uy; 0x90uy; 0x0auy; 0x63uy; 0x96uy; 0xe4uy; 0x6buy; 0xa9uy; 0x77uy; 0xb8uy; 0x91uy; 0xf8uy; 0x46uy; 0x15uy; 0x72uy; 0x63uy; 0x70uy; 0x01uy; 0x40uy; 0xa3uy; 0xa5uy; 0x76uy; 0x62uy; 0x2buy; 0xbfuy; 0xf1uy; 0xe5uy; 0x8duy; 0x9fuy; 0xa3uy; 0xfauy; 0x9buy; 0x03uy; 0xbeuy; 0xfeuy; 0x65uy; 0x6fuy; 0xa2uy; 0x29uy; 0x0duy; 0x54uy; 0xb4uy; 0x71uy; 0xceuy; 0xa9uy; 0xd6uy; 0x3duy; 0x88uy; 0xf9uy; 0xafuy; 0x6buy; 0xa8uy; 0x9euy; 0xf4uy; 0x16uy; 0x96uy; 0x36uy; 0xb9uy; 0x00uy; 0xdcuy; 0x10uy; 0xabuy; 0xb5uy; 0x08uy; 0x31uy; 0x1fuy; 0x00uy; 0xb1uy; 0x3cuy; 0xd9uy; 0x38uy; 0x3euy; 0xc6uy; 0x04uy; 0xa7uy; 0x4euy; 0xe8uy; 0xaeuy; 0xeduy; 0x98uy; 0xc2uy; 0xf7uy; 0xb9uy; 0x00uy; 0x5fuy; 0x8cuy; 0x60uy; 0xd1uy; 0xe5uy; 0x15uy; 0xf7uy; 0xaeuy; 0x1euy; 0x84uy; 0x88uy; 0xd1uy; 0xf6uy; 0xbcuy; 0x3auy; 0x89uy; 0x35uy; 0x22uy; 0x83uy; 0x7cuy; 0xcauy; 0xf0uy; 0x33uy; 0x82uy; 0x4cuy; 0x79uy; 0x3cuy; 0xfduy; 0xb1uy; 0xaeuy; 0x52uy; 0x62uy; 0x55uy; 0xd2uy; 0x41uy; 0x60uy; 0xc6uy; 0xbbuy; 0xfauy; 0x0euy; 0x59uy; 0xd6uy; 0xa8uy; 0xfeuy; 0x5duy; 0xeduy; 0x47uy; 0x3duy; 0xe0uy; 0xeauy; 0x1fuy; 0x6euy; 0x43uy; 0x51uy; 0xecuy; 0x10uy; 0x52uy; 0x56uy; 0x77uy; 0x42uy; 0x6buy; 0x52uy; 0x87uy; 0xd8uy; 0xecuy; 0xe0uy; 0xaauy; 0x76uy; 0xa5uy; 0x84uy; 0x2auy; 0x22uy; 0x24uy; 0xfduy; 0x92uy; 0x40uy; 0x88uy; 0xd5uy; 0x85uy; 0x1cuy; 0x1fuy; 0x6buy; 0x47uy; 0xa0uy; 0xc4uy; 0xe4uy; 0xefuy; 0xf4uy; 0xeauy; 0xd7uy; 0x59uy; 0xacuy; 0x2auy; 0x9euy; 0x8cuy; 0xfauy; 0x1fuy; 0x42uy; 0x08uy; 0xfeuy; 0x4fuy; 0x74uy; 0xa0uy; 0x26uy; 0xf5uy; 0xb3uy; 0x84uy; 0xf6uy; 0x58uy; 0x5fuy; 0x26uy; 0x66uy; 0x3euy; 0xd7uy; 0xe4uy; 0x22uy; 0x91uy; 0x13uy; 0xc8uy; 0xacuy; 0x25uy; 0x96uy; 0x23uy; 0xd8uy; 0x09uy; 0xeauy; 0x45uy; 0x75uy; 0x23uy; 0xb8uy; 0x5fuy; 0xc2uy; 0x90uy; 0x8buy; 0x09uy; 0xc4uy; 0xfcuy; 0x47uy; 0x6cuy; 0x6duy; 0x0auy; 0xefuy; 0x69uy; 0xa4uy; 0x38uy; 0x19uy; 0xcfuy; 0x7duy; 0xf9uy; 0x09uy; 0x73uy; 0x9buy; 0x60uy; 0x5auy; 0xf7uy; 0x37uy; 0xb5uy; 0xfeuy; 0x9fuy; 0xe3uy; 0x2buy; 0x4cuy; 0x0duy; 0x6euy; 0x19uy; 0xf1uy; 0xd6uy; 0xc0uy; 0x70uy; 0xf3uy; 0x9duy; 0x22uy; 0x3cuy; 0xf9uy; 0x49uy; 0xceuy; 0x30uy; 0x8euy; 0x44uy; 0xb5uy; 0x76uy; 0x15uy; 0x8fuy; 0x52uy; 0xfduy; 0xa5uy; 0x04uy; 0xb8uy; 0x55uy; 0x6auy; 0x36uy; 0x59uy; 0x7cuy; 0xc4uy; 0x48uy; 0xb8uy; 0xd7uy; 0xabuy; 0x05uy; 0x66uy; 0xe9uy; 0x5euy; 0x21uy; 0x6fuy; 0x6buy; 0x36uy; 0x29uy; 0xbbuy; 0xe9uy; 0xe3uy; 0xa2uy; 0x9auy; 0xa8uy; 0xcduy; 0x55uy; 0x25uy; 0x11uy; 0xbauy; 0x5auy; 0x58uy; 0xa0uy; 0xdeuy; 0xaeuy; 0x19uy; 0x2auy; 0x48uy; 0x5auy; 0xffuy; 0x36uy; 0xcduy; 0x6duy; 0x16uy; 0x7auy; 0x73uy; 0x38uy; 0x46uy; 0xe5uy; 0x47uy; 0x59uy; 0xc8uy; 0xa2uy; 0xf6uy; 0xe2uy; 0x6cuy; 0x83uy; 0xc5uy; 0x36uy; 0x2cuy; 0x83uy; 0x7duy; 0xb4uy; 0x01uy; 0x05uy; 0x69uy; 0xe7uy; 0xafuy; 0x5cuy; 0xc4uy; 0x64uy; 0x82uy; 0x12uy; 0x21uy; 0xefuy; 0xf7uy; 0xd1uy; 0x7duy; 0xb8uy; 0x8duy; 0x8cuy; 0x98uy; 0x7cuy; 0x5fuy; 0x7duy; 0x92uy; 0x88uy; 0xb9uy; 0x94uy; 0x07uy; 0x9cuy; 0xd8uy; 0xe9uy; 0x9cuy; 0x17uy; 0x38uy; 0xe3uy; 0x57uy; 0x6cuy; 0xe0uy; 0xdcuy; 0xa5uy; 0x92uy; 0x42uy; 0xb3uy; 0xbduy; 0x50uy; 0xa2uy; 0x7euy; 0xb5uy; 0xb1uy; 0x52uy; 0x72uy; 0x03uy; 0x97uy; 0xd8uy; 0xaauy; 0x9auy; 0x1euy; 0x75uy; 0x41uy; 0x11uy; 0xa3uy; 0x4fuy; 0xccuy; 0xd4uy; 0xe3uy; 0x73uy; 0xaduy; 0x96uy; 0xdcuy; 0x47uy; 0x41uy; 0x9fuy; 0xb0uy; 0xbeuy; 0x79uy; 0x91uy; 0xf5uy; 0xb6uy; 0x18uy; 0xfeuy; 0xc2uy; 0x83uy; 0x18uy; 0x7duy; 0x73uy; 0xd9uy; 0x4fuy; 0x83uy; 0x84uy; 0x03uy; 0xb3uy; 0xf0uy; 0x77uy; 0x66uy; 0x3duy; 0x83uy; 0x63uy; 0x2euy; 0x2cuy; 0xf9uy; 0xdduy; 0xa6uy; 0x1fuy; 0x89uy; 0x82uy; 0xb8uy; 0x23uy; 0x42uy; 0xebuy; 0xe2uy; 0xcauy; 0x70uy; 0x82uy; 0x61uy; 0x41uy; 0x0auy; 0x6duy; 0x5fuy; 0x75uy; 0xc5uy; 0xe2uy; 0xc4uy; 0x91uy; 0x18uy; 0x44uy; 0x22uy; 0xfauy; 0x34uy; 0x10uy; 0xf5uy; 0x20uy; 0xdcuy; 0xb7uy; 0xdduy; 0x2auy; 0x20uy; 0x77uy; 0xf5uy; 0xf9uy; 0xceuy; 0xdbuy; 0xa0uy; 0x0auy; 0x52uy; 0x2auy; 0x4euy; 0xdduy; 0xccuy; 0x97uy; 0xdfuy; 0x05uy; 0xe4uy; 0x5euy; 0xb7uy; 0xaauy; 0xf0uy; 0xe2uy; 0x80uy; 0xffuy; 0xbauy; 0x1auy; 0x0fuy; 0xacuy; 0xdfuy; 0x02uy; 0x32uy; 0xe6uy; 0xf7uy; 0xc7uy; 0x17uy; 0x13uy; 0xb7uy; 0xfcuy; 0x98uy; 0x48uy; 0x8cuy; 0x0duy; 0x82uy; 0xc9uy; 0x80uy; 0x7auy; 0xe2uy; 0x0auy; 0xc5uy; 0xb4uy; 0xdeuy; 0x7cuy; 0x3cuy; 0x79uy; 0x81uy; 0x0euy; 0x28uy; 0x65uy; 0x79uy; 0x67uy; 0x82uy; 0x69uy; 0x44uy; 0x66uy; 0x09uy; 0xf7uy; 0x16uy; 0x1auy; 0xf9uy; 0x7duy; 0x80uy; 0xa1uy; 0x79uy; 0x14uy; 0xa9uy; 0xc8uy; 0x20uy; 0xfbuy; 0xa2uy; 0x46uy; 0xbeuy; 0x08uy; 0x35uy; 0x17uy; 0x58uy; 0xc1uy; 0x1auy; 0xdauy; 0x2auy; 0x6buy; 0x2euy; 0x1euy; 0xe6uy; 0x27uy; 0x55uy; 0x7buy; 0x19uy; 0xe2uy; 0xfbuy; 0x64uy; 0xfcuy; 0x5euy; 0x15uy; 0x54uy; 0x3cuy; 0xe7uy; 0xc2uy; 0x11uy; 0x50uy; 0x30uy; 0xb8uy; 0x72uy; 0x03uy; 0x0buy; 0x1auy; 0x9fuy; 0x86uy; 0x27uy; 0x11uy; 0x5cuy; 0x06uy; 0x2buy; 0xbduy; 0x75uy; 0x1auy; 0x0auy; 0xdauy; 0x01uy; 0xfauy; 0x5cuy; 0x4auy; 0xc1uy; 0x80uy; 0x3auy; 0x6euy; 0x30uy; 0xc8uy; 0x2cuy; 0xebuy; 0x56uy; 0xecuy; 0x89uy; 0xfauy; 0x35uy; 0x7buy; 0xb2uy; 0xf0uy; 0x97uy; 0x08uy; 0x86uy; 0x53uy; 0xbeuy; 0xbduy; 0x40uy; 0x41uy; 0x38uy; 0x1cuy; 0xb4uy; 0x8buy; 0x79uy; 0x2euy; 0x18uy; 0x96uy; 0x94uy; 0xdeuy; 0xe8uy; 0xcauy; 0xe5uy; 0x9fuy; 0x92uy; 0x9fuy; 0x15uy; 0x5duy; 0x56uy; 0x60uy; 0x5cuy; 0x09uy; 0xf9uy; 0x16uy; 0xf4uy; 0x17uy; 0x0fuy; 0xf6uy; 0x4cuy; 0xdauy; 0xe6uy; 0x67uy; 0x89uy; 0x9fuy; 0xcauy; 0x6cuy; 0xe7uy; 0x9buy; 0x04uy; 0x62uy; 0x0euy; 0x26uy; 0xa6uy; 0x52uy; 0xbduy; 0x29uy; 0xffuy; 0xc7uy; 0xa4uy; 0x96uy; 0xe6uy; 0x6auy; 0x02uy; 0xa5uy; 0x2euy; 0x7buy; 0xfeuy; 0x97uy; 0x68uy; 0x3euy; 0x2euy; 0x5fuy; 0x3buy; 0x0fuy; 0x36uy; 0xd6uy; 0x98uy; 0x19uy; 0x59uy; 0x48uy; 0xd2uy; 0xc6uy; 0xe1uy; 0x55uy; 0x1auy; 0x6euy; 0xd6uy; 0xeduy; 0x2cuy; 0xbauy; 0xc3uy; 0x9euy; 0x64uy; 0xc9uy; 0x95uy; 0x86uy; 0x35uy; 0x5euy; 0x3euy; 0x88uy; 0x69uy; 0x99uy; 0x4buy; 0xeeuy; 0xbeuy; 0x9auy; 0x99uy; 0xb5uy; 0x6euy; 0x58uy; 0xaeuy; 0xdduy; 0x22uy; 0xdbuy; 0xdduy; 0x6buy; 0xfcuy; 0xafuy; 0x90uy; 0xa3uy; 0x3duy; 0xa4uy; 0xc1uy; 0x15uy; 0x92uy; 0x18uy; 0x8duy; 0xd2uy; 0x4buy; 0x7buy; 0x06uy; 0xd1uy; 0x37uy; 0xb5uy; 0xe2uy; 0x7cuy; 0x2cuy; 0xf0uy; 0x25uy; 0xe4uy; 0x94uy; 0x2auy; 0xbduy; 0xe3uy; 0x82uy; 0x70uy; 0x78uy; 0xa3uy; 0x82uy; 0x10uy; 0x5auy; 0x90uy; 0xd7uy; 0xa4uy; 0xfauy; 0xafuy; 0x1auy; 0x88uy; 0x59uy; 0xdcuy; 0x74uy; 0x12uy; 0xb4uy; 0x8euy; 0xd7uy; 0x19uy; 0x46uy; 0xf4uy; 0x84uy; 0x69uy; 0x9fuy; 0xbbuy; 0x70uy; 0xa8uy; 0x4cuy; 0x52uy; 0x81uy; 0xa9uy; 0xffuy; 0x76uy; 0x1cuy; 0xaeuy; 0xd8uy; 0x11uy; 0x3duy; 0x7fuy; 0x7duy; 0xc5uy; 0x12uy; 0x59uy; 0x28uy; 0x18uy; 0xc2uy; 0xa2uy; 0xb7uy; 0x1cuy; 0x88uy; 0xf8uy; 0xd6uy; 0x1buy; 0xa6uy; 0x7duy; 0x9euy; 0xdeuy; 0x29uy; 0xf8uy; 0xeduy; 0xffuy; 0xebuy; 0x92uy; 0x24uy; 0x4fuy; 0x05uy; 0xaauy; 0xd9uy; 0x49uy; 0xbauy; 0x87uy; 0x59uy; 0x51uy; 0xc9uy; 0x20uy; 0x5cuy; 0x9buy; 0x74uy; 0xcfuy; 0x03uy; 0xd9uy; 0x2duy; 0x34uy; 0xc7uy; 0x5buy; 0xa5uy; 0x40uy; 0xb2uy; 0x99uy; 0xf5uy; 0xcbuy; 0xb4uy; 0xf6uy; 0xb7uy; 0x72uy; 0x4auy; 0xd6uy; 0xbduy; 0xb0uy; 0xf3uy; 0x93uy; 0xe0uy; 0x1buy; 0xa8uy; 0x04uy; 0x1euy; 0x35uy; 0xd4uy; 0x80uy; 0x20uy; 0xf4uy; 0x9cuy; 0x31uy; 0x6buy; 0x45uy; 0xb9uy; 0x15uy; 0xb0uy; 0x5euy; 0xdduy; 0x0auy; 0x33uy; 0x9cuy; 0x83uy; 0xcduy; 0x58uy; 0x89uy; 0x50uy; 0x56uy; 0xbbuy; 0x81uy; 0x00uy; 0x91uy; 0x32uy; 0xf3uy; 0x1buy; 0x3euy; 0xcfuy; 0x45uy; 0xe1uy; 0xf9uy; 0xe1uy; 0x2cuy; 0x26uy; 0x78uy; 0x93uy; 0x9auy; 0x60uy; 0x46uy; 0xc9uy; 0xb5uy; 0x5euy; 0x6auy; 0x28uy; 0x92uy; 0x87uy; 0x3fuy; 0x63uy; 0x7buy; 0xdbuy; 0xf7uy; 0xd0uy; 0x13uy; 0x9duy; 0x32uy; 0x40uy; 0x5euy; 0xcfuy; 0xfbuy; 0x79uy; 0x68uy; 0x47uy; 0x4cuy; 0xfduy; 0x01uy; 0x17uy; 0xe6uy; 0x97uy; 0x93uy; 0x78uy; 0xbbuy; 0xa6uy; 0x27uy; 0xa3uy; 0xe8uy; 0x1auy; 0xe8uy; 0x94uy; 0x55uy; 0x7duy; 0x08uy; 0xe5uy; 0xdcuy; 0x66uy; 0xa3uy; 0x69uy; 0xc8uy; 0xcauy; 0xc5uy; 0xa1uy; 0x84uy; 0x55uy; 0xdeuy; 0x08uy; 0x91uy; 0x16uy; 0x3auy; 0x0cuy; 0x86uy; 0xabuy; 0x27uy; 0x2buy; 0x64uy; 0x34uy; 0x02uy; 0x6cuy; 0x76uy; 0x8buy; 0xc6uy; 0xafuy; 0xccuy; 0xe1uy; 0xd6uy; 0x8cuy; 0x2auy; 0x18uy; 0x3duy; 0xa6uy; 0x1buy; 0x37uy; 0x75uy; 0x45uy; 0x73uy; 0xc2uy; 0x75uy; 0xd7uy; 0x53uy; 0x78uy; 0x3auy; 0xd6uy; 0xe8uy; 0x29uy; 0xd2uy; 0x4auy; 0xa8uy; 0x1euy; 0x82uy; 0xf6uy; 0xb6uy; 0x81uy; 0xdeuy; 0x21uy; 0xeduy; 0x2buy; 0x56uy; 0xbbuy; 0xf2uy; 0xd0uy; 0x57uy; 0xc1uy; 0x7cuy; 0xd2uy; 0x6auy; 0xd2uy; 0x56uy; 0xf5uy; 0x13uy; 0x5fuy; 0x1cuy; 0x6auy; 0x0buy; 0x74uy; 0xfbuy; 0xe9uy; 0xfeuy; 0x9euy; 0xeauy; 0x95uy; 0xb2uy; 0x46uy; 0xabuy; 0x0auy; 0xfcuy; 0xfduy; 0xf3uy; 0xbbuy; 0x04uy; 0x2buy; 0x76uy; 0x1buy; 0xa4uy; 0x74uy; 0xb0uy; 0xc1uy; 0x78uy; 0xc3uy; 0x69uy; 0xe2uy; 0xb0uy; 0x01uy; 0xe1uy; 0xdeuy; 0x32uy; 0x4cuy; 0x8duy; 0x1auy; 0xb3uy; 0x38uy; 0x08uy; 0xd5uy; 0xfcuy; 0x1fuy; 0xdcuy; 0x0euy; 0x2cuy; 0x9cuy; 0xb1uy; 0xa1uy; 0x63uy; 0x17uy; 0x22uy; 0xf5uy; 0x6cuy; 0x93uy; 0x70uy; 0x74uy; 0x00uy; 0xf8uy; 0x39uy; 0x01uy; 0x94uy; 0xd1uy; 0x32uy; 0x23uy; 0x56uy; 0x5duy; 0xa6uy; 0x02uy; 0x76uy; 0x76uy; 0x93uy; 0xceuy; 0x2fuy; 0x19uy; 0xe9uy; 0x17uy; 0x52uy; 0xaeuy; 0x6euy; 0x2cuy; 0x6duy; 0x61uy; 0x7fuy; 0x3buy; 0xaauy; 0xe0uy; 0x52uy; 0x85uy; 0xc5uy; 0x65uy; 0xc1uy; 0xbbuy; 0x8euy; 0x5buy; 0x21uy; 0xd5uy; 0xc9uy; 0x78uy; 0x83uy; 0x07uy; 0x97uy; 0x4cuy; 0x62uy; 0x61uy; 0x41uy; 0xd4uy; 0xfcuy; 0xc9uy; 0x39uy; 0xe3uy; 0x9buy; 0xd0uy; 0xccuy; 0x75uy; 0xc4uy; 0x97uy; 0xe6uy; 0xdduy; 0x2auy; 0x5fuy; 0xa6uy; 0xe8uy; 0x59uy; 0x6cuy; 0x98uy; 0xb9uy; 0x02uy; 0xe2uy; 0xa2uy; 0xd6uy; 0x68uy; 0xeeuy; 0x3buy; 0x1duy; 0xe3uy; 0x4duy; 0x5buy; 0x30uy; 0xefuy; 0x03uy; 0xf2uy; 0xebuy; 0x18uy; 0x57uy; 0x36uy; 0xe8uy; 0xa1uy; 0xf4uy; 0x47uy; 0xfbuy; 0xcbuy; 0x8fuy; 0xcbuy; 0xc8uy; 0xf3uy; 0x4fuy; 0x74uy; 0x9duy; 0x9duy; 0xb1uy; 0x8duy; 0x14uy; 0x44uy; 0xd9uy; 0x19uy; 0xb4uy; 0x54uy; 0x4fuy; 0x75uy; 0x19uy; 0x09uy; 0xa0uy; 0x75uy; 0xbcuy; 0x3buy; 0x82uy; 0xc6uy; 0x3fuy; 0xb8uy; 0x83uy; 0x19uy; 0x6euy; 0xd6uy; 0x37uy; 0xfeuy; 0x6euy; 0x8auy; 0x4euy; 0xe0uy; 0x4auy; 0xabuy; 0x7buy; 0xc8uy; 0xb4uy; 0x1duy; 0xf4uy; 0xeduy; 0x27uy; 0x03uy; 0x65uy; 0xa2uy; 0xa1uy; 0xaeuy; 0x11uy; 0xe7uy; 0x98uy; 0x78uy; 0x48uy; 0x91uy; 0xd2uy; 0xd2uy; 0xd4uy; 0x23uy; 0x78uy; 0x50uy; 0xb1uy; 0x5buy; 0x85uy; 0x10uy; 0x8duy; 0xcauy; 0x5fuy; 0x0fuy; 0x71uy; 0xaeuy; 0x72uy; 0x9auy; 0xf6uy; 0x25uy; 0x19uy; 0x60uy; 0x06uy; 0xf7uy; 0x10uy; 0x34uy; 0x18uy; 0x0duy; 0xc9uy; 0x9fuy; 0x7buy; 0x0cuy; 0x9buy; 0x8fuy; 0x91uy; 0x1buy; 0x9fuy; 0xcduy; 0x10uy; 0xeeuy; 0x75uy; 0xf9uy; 0x97uy; 0x66uy; 0xfcuy; 0x4duy; 0x33uy; 0x6euy; 0x28uy; 0x2buy; 0x92uy; 0x85uy; 0x4fuy; 0xabuy; 0x43uy; 0x8duy; 0x8fuy; 0x7duy; 0x86uy; 0xa7uy; 0xc7uy; 0xd8uy; 0xd3uy; 0x0buy; 0x8buy; 0x57uy; 0xb6uy; 0x1duy; 0x95uy; 0x0duy; 0xe9uy; 0xbcuy; 0xd9uy; 0x03uy; 0xd9uy; 0x10uy; 0x19uy; 0xc3uy; 0x46uy; 0x63uy; 0x55uy; 0x87uy; 0x61uy; 0x79uy; 0x6cuy; 0x95uy; 0x0euy; 0x9cuy; 0xdduy; 0xcauy; 0xc3uy; 0xf3uy; 0x64uy; 0xf0uy; 0x7duy; 0x76uy; 0xb7uy; 0x53uy; 0x67uy; 0x2buy; 0x1euy; 0x44uy; 0x56uy; 0x81uy; 0xeauy; 0x8fuy; 0x5cuy; 0x42uy; 0x16uy; 0xb8uy; 0x28uy; 0xebuy; 0x1buy; 0x61uy; 0x10uy; 0x1euy; 0xbfuy; 0xecuy; 0xa8uy; ] in assert_norm (List.Tot.length l = 1933); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input10_len: (x:UInt32.t { UInt32.v x = B.length input10 }) = 1933ul let output10: (b: B.buffer UInt8.t { B.length b = 1949 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xfcuy; 0x4buy; 0x25uy; 0xdfuy; 0xc0uy; 0xe4uy; 0xe8uy; 0x17uy; 0x4duy; 0x4cuy; 0xc9uy; 0x7euy; 0xdeuy; 0x3auy; 0xccuy; 0x3cuy; 0xbauy; 0x6auy; 0x77uy; 0x47uy; 0xdbuy; 0xe3uy; 0x74uy; 0x7auy; 0x4duy; 0x5fuy; 0x8duy; 0x37uy; 0x55uy; 0x80uy; 0x73uy; 0x90uy; 0x66uy; 0x5duy; 0x3auy; 0x7duy; 0x5duy; 0x86uy; 0x5euy; 0x8duy; 0xfduy; 0x83uy; 0xffuy; 0x4euy; 0x74uy; 0x6fuy; 0xf9uy; 0xe6uy; 0x70uy; 0x17uy; 0x70uy; 0x3euy; 0x96uy; 0xa7uy; 0x7euy; 0xcbuy; 0xabuy; 0x8fuy; 0x58uy; 0x24uy; 0x9buy; 0x01uy; 0xfduy; 0xcbuy; 0xe6uy; 0x4duy; 0x9buy; 0xf0uy; 0x88uy; 0x94uy; 0x57uy; 0x66uy; 0xefuy; 0x72uy; 0x4cuy; 0x42uy; 0x6euy; 0x16uy; 0x19uy; 0x15uy; 0xeauy; 0x70uy; 0x5buy; 0xacuy; 0x13uy; 0xdbuy; 0x9fuy; 0x18uy; 0xe2uy; 0x3cuy; 0x26uy; 0x97uy; 0xbcuy; 0xdcuy; 0x45uy; 0x8cuy; 0x6cuy; 0x24uy; 0x69uy; 0x9cuy; 0xf7uy; 0x65uy; 0x1euy; 0x18uy; 0x59uy; 0x31uy; 0x7cuy; 0xe4uy; 0x73uy; 0xbcuy; 0x39uy; 0x62uy; 0xc6uy; 0x5cuy; 0x9fuy; 0xbfuy; 0xfauy; 0x90uy; 0x03uy; 0xc9uy; 0x72uy; 0x26uy; 0xb6uy; 0x1buy; 0xc2uy; 0xb7uy; 0x3fuy; 0xf2uy; 0x13uy; 0x77uy; 0xf2uy; 0x8duy; 0xb9uy; 0x47uy; 0xd0uy; 0x53uy; 0xdduy; 0xc8uy; 0x91uy; 0x83uy; 0x8buy; 0xb1uy; 0xceuy; 0xa3uy; 0xfeuy; 0xcduy; 0xd9uy; 0xdduy; 0x92uy; 0x7buy; 0xdbuy; 0xb8uy; 0xfbuy; 0xc9uy; 0x2duy; 0x01uy; 0x59uy; 0x39uy; 0x52uy; 0xaduy; 0x1buy; 0xecuy; 0xcfuy; 0xd7uy; 0x70uy; 0x13uy; 0x21uy; 0xf5uy; 0x47uy; 0xaauy; 0x18uy; 0x21uy; 0x5cuy; 0xc9uy; 0x9auy; 0xd2uy; 0x6buy; 0x05uy; 0x9cuy; 0x01uy; 0xa1uy; 0xdauy; 0x35uy; 0x5duy; 0xb3uy; 0x70uy; 0xe6uy; 0xa9uy; 0x80uy; 0x8buy; 0x91uy; 0xb7uy; 0xb3uy; 0x5fuy; 0x24uy; 0x9auy; 0xb7uy; 0xd1uy; 0x6buy; 0xa1uy; 0x1cuy; 0x50uy; 0xbauy; 0x49uy; 0xe0uy; 0xeeuy; 0x2euy; 0x75uy; 0xacuy; 0x69uy; 0xc0uy; 0xebuy; 0x03uy; 0xdduy; 0x19uy; 0xe5uy; 0xf6uy; 0x06uy; 0xdduy; 0xc3uy; 0xd7uy; 0x2buy; 0x07uy; 0x07uy; 0x30uy; 0xa7uy; 0x19uy; 0x0cuy; 0xbfuy; 0xe6uy; 0x18uy; 0xccuy; 0xb1uy; 0x01uy; 0x11uy; 0x85uy; 0x77uy; 0x1duy; 0x96uy; 0xa7uy; 0xa3uy; 0x00uy; 0x84uy; 0x02uy; 0xa2uy; 0x83uy; 0x68uy; 0xdauy; 0x17uy; 0x27uy; 0xc8uy; 0x7fuy; 0x23uy; 0xb7uy; 0xf4uy; 0x13uy; 0x85uy; 0xcfuy; 0xdduy; 0x7auy; 0x7duy; 0x24uy; 0x57uy; 0xfeuy; 0x05uy; 0x93uy; 0xf5uy; 0x74uy; 0xceuy; 0xeduy; 0x0cuy; 0x20uy; 0x98uy; 0x8duy; 0x92uy; 0x30uy; 0xa1uy; 0x29uy; 0x23uy; 0x1auy; 0xa0uy; 0x4fuy; 0x69uy; 0x56uy; 0x4cuy; 0xe1uy; 0xc8uy; 0xceuy; 0xf6uy; 0x9auy; 0x0cuy; 0xa4uy; 0xfauy; 0x04uy; 0xf6uy; 0x62uy; 0x95uy; 0xf2uy; 0xfauy; 0xc7uy; 0x40uy; 0x68uy; 0x40uy; 0x8fuy; 0x41uy; 0xdauy; 0xb4uy; 0x26uy; 0x6fuy; 0x70uy; 0xabuy; 0x40uy; 0x61uy; 0xa4uy; 0x0euy; 0x75uy; 0xfbuy; 0x86uy; 0xebuy; 0x9duy; 0x9auy; 0x1fuy; 0xecuy; 0x76uy; 0x99uy; 0xe7uy; 0xeauy; 0xaauy; 0x1euy; 0x2duy; 0xb5uy; 0xd4uy; 0xa6uy; 0x1auy; 0xb8uy; 0x61uy; 0x0auy; 0x1duy; 0x16uy; 0x5buy; 0x98uy; 0xc2uy; 0x31uy; 0x40uy; 0xe7uy; 0x23uy; 0x1duy; 0x66uy; 0x99uy; 0xc8uy; 0xc0uy; 0xd7uy; 0xceuy; 0xf3uy; 0x57uy; 0x40uy; 0x04uy; 0x3fuy; 0xfcuy; 0xeauy; 0xb3uy; 0xfcuy; 0xd2uy; 0xd3uy; 0x99uy; 0xa4uy; 0x94uy; 0x69uy; 0xa0uy; 0xefuy; 0xd1uy; 0x85uy; 0xb3uy; 0xa6uy; 0xb1uy; 0x28uy; 0xbfuy; 0x94uy; 0x67uy; 0x22uy; 0xc3uy; 0x36uy; 0x46uy; 0xf8uy; 0xd2uy; 0x0fuy; 0x5fuy; 0xf4uy; 0x59uy; 0x80uy; 0xe6uy; 0x2duy; 0x43uy; 0x08uy; 0x7duy; 0x19uy; 0x09uy; 0x97uy; 0xa7uy; 0x4cuy; 0x3duy; 0x8duy; 0xbauy; 0x65uy; 0x62uy; 0xa3uy; 0x71uy; 0x33uy; 0x29uy; 0x62uy; 0xdbuy; 0xc1uy; 0x33uy; 0x34uy; 0x1auy; 0x63uy; 0x33uy; 0x16uy; 0xb6uy; 0x64uy; 0x7euy; 0xabuy; 0x33uy; 0xf0uy; 0xe6uy; 0x26uy; 0x68uy; 0xbauy; 0x1duy; 0x2euy; 0x38uy; 0x08uy; 0xe6uy; 0x02uy; 0xd3uy; 0x25uy; 0x2cuy; 0x47uy; 0x23uy; 0x58uy; 0x34uy; 0x0fuy; 0x9duy; 0x63uy; 0x4fuy; 0x63uy; 0xbbuy; 0x7fuy; 0x3buy; 0x34uy; 0x38uy; 0xa7uy; 0xb5uy; 0x8duy; 0x65uy; 0xd9uy; 0x9fuy; 0x79uy; 0x55uy; 0x3euy; 0x4duy; 0xe7uy; 0x73uy; 0xd8uy; 0xf6uy; 0x98uy; 0x97uy; 0x84uy; 0x60uy; 0x9cuy; 0xc8uy; 0xa9uy; 0x3cuy; 0xf6uy; 0xdcuy; 0x12uy; 0x5cuy; 0xe1uy; 0xbbuy; 0x0buy; 0x8buy; 0x98uy; 0x9cuy; 0x9duy; 0x26uy; 0x7cuy; 0x4auy; 0xe6uy; 0x46uy; 0x36uy; 0x58uy; 0x21uy; 0x4auy; 0xeeuy; 0xcauy; 0xd7uy; 0x3buy; 0xc2uy; 0x6cuy; 0x49uy; 0x2fuy; 0xe5uy; 0xd5uy; 0x03uy; 0x59uy; 0x84uy; 0x53uy; 0xcbuy; 0xfeuy; 0x92uy; 0x71uy; 0x2euy; 0x7cuy; 0x21uy; 0xccuy; 0x99uy; 0x85uy; 0x7fuy; 0xb8uy; 0x74uy; 0x90uy; 0x13uy; 0x42uy; 0x3fuy; 0xe0uy; 0x6buy; 0x1duy; 0xf2uy; 0x4duy; 0x54uy; 0xd4uy; 0xfcuy; 0x3auy; 0x05uy; 0xe6uy; 0x74uy; 0xafuy; 0xa6uy; 0xa0uy; 0x2auy; 0x20uy; 0x23uy; 0x5duy; 0x34uy; 0x5cuy; 0xd9uy; 0x3euy; 0x4euy; 0xfauy; 0x93uy; 0xe7uy; 0xaauy; 0xe9uy; 0x6fuy; 0x08uy; 0x43uy; 0x67uy; 0x41uy; 0xc5uy; 0xaduy; 0xfbuy; 0x31uy; 0x95uy; 0x82uy; 0x73uy; 0x32uy; 0xd8uy; 0xa6uy; 0xa3uy; 0xeduy; 0x0euy; 0x2duy; 0xf6uy; 0x5fuy; 0xfduy; 0x80uy; 0xa6uy; 0x7auy; 0xe0uy; 0xdfuy; 0x78uy; 0x15uy; 0x29uy; 0x74uy; 0x33uy; 0xd0uy; 0x9euy; 0x83uy; 0x86uy; 0x72uy; 0x22uy; 0x57uy; 0x29uy; 0xb9uy; 0x9euy; 0x5duy; 0xd3uy; 0x1auy; 0xb5uy; 0x96uy; 0x72uy; 0x41uy; 0x3duy; 0xf1uy; 0x64uy; 0x43uy; 0x67uy; 0xeeuy; 0xaauy; 0x5cuy; 0xd3uy; 0x9auy; 0x96uy; 0x13uy; 0x11uy; 0x5duy; 0xf3uy; 0x0cuy; 0x87uy; 0x82uy; 0x1euy; 0x41uy; 0x9euy; 0xd0uy; 0x27uy; 0xd7uy; 0x54uy; 0x3buy; 0x67uy; 0x73uy; 0x09uy; 0x91uy; 0xe9uy; 0xd5uy; 0x36uy; 0xa7uy; 0xb5uy; 0x55uy; 0xe4uy; 0xf3uy; 0x21uy; 0x51uy; 0x49uy; 0x22uy; 0x07uy; 0x55uy; 0x4fuy; 0x44uy; 0x4buy; 0xd2uy; 0x15uy; 0x93uy; 0x17uy; 0x2auy; 0xfauy; 0x4duy; 0x4auy; 0x57uy; 0xdbuy; 0x4cuy; 0xa6uy; 0xebuy; 0xecuy; 0x53uy; 0x25uy; 0x6cuy; 0x21uy; 0xeduy; 0x00uy; 0x4cuy; 0x3buy; 0xcauy; 0x14uy; 0x57uy; 0xa9uy; 0xd6uy; 0x6auy; 0xcduy; 0x8duy; 0x5euy; 0x74uy; 0xacuy; 0x72uy; 0xc1uy; 0x97uy; 0xe5uy; 0x1buy; 0x45uy; 0x4euy; 0xdauy; 0xfcuy; 0xccuy; 0x40uy; 0xe8uy; 0x48uy; 0x88uy; 0x0buy; 0xa3uy; 0xe3uy; 0x8duy; 0x83uy; 0x42uy; 0xc3uy; 0x23uy; 0xfduy; 0x68uy; 0xb5uy; 0x8euy; 0xf1uy; 0x9duy; 0x63uy; 0x77uy; 0xe9uy; 0xa3uy; 0x8euy; 0x8cuy; 0x26uy; 0x6buy; 0xbduy; 0x72uy; 0x73uy; 0x35uy; 0x0cuy; 0x03uy; 0xf8uy; 0x43uy; 0x78uy; 0x52uy; 0x71uy; 0x15uy; 0x1fuy; 0x71uy; 0x5duy; 0x6euy; 0xeduy; 0xb9uy; 0xccuy; 0x86uy; 0x30uy; 0xdbuy; 0x2buy; 0xd3uy; 0x82uy; 0x88uy; 0x23uy; 0x71uy; 0x90uy; 0x53uy; 0x5cuy; 0xa9uy; 0x2fuy; 0x76uy; 0x01uy; 0xb7uy; 0x9auy; 0xfeuy; 0x43uy; 0x55uy; 0xa3uy; 0x04uy; 0x9buy; 0x0euy; 0xe4uy; 0x59uy; 0xdfuy; 0xc9uy; 0xe9uy; 0xb1uy; 0xeauy; 0x29uy; 0x28uy; 0x3cuy; 0x5cuy; 0xaeuy; 0x72uy; 0x84uy; 0xb6uy; 0xc6uy; 0xebuy; 0x0cuy; 0x27uy; 0x07uy; 0x74uy; 0x90uy; 0x0duy; 0x31uy; 0xb0uy; 0x00uy; 0x77uy; 0xe9uy; 0x40uy; 0x70uy; 0x6fuy; 0x68uy; 0xa7uy; 0xfduy; 0x06uy; 0xecuy; 0x4buy; 0xc0uy; 0xb7uy; 0xacuy; 0xbcuy; 0x33uy; 0xb7uy; 0x6duy; 0x0auy; 0xbduy; 0x12uy; 0x1buy; 0x59uy; 0xcbuy; 0xdduy; 0x32uy; 0xf5uy; 0x1duy; 0x94uy; 0x57uy; 0x76uy; 0x9euy; 0x0cuy; 0x18uy; 0x98uy; 0x71uy; 0xd7uy; 0x2auy; 0xdbuy; 0x0buy; 0x7buy; 0xa7uy; 0x71uy; 0xb7uy; 0x67uy; 0x81uy; 0x23uy; 0x96uy; 0xaeuy; 0xb9uy; 0x7euy; 0x32uy; 0x43uy; 0x92uy; 0x8auy; 0x19uy; 0xa0uy; 0xc4uy; 0xd4uy; 0x3buy; 0x57uy; 0xf9uy; 0x4auy; 0x2cuy; 0xfbuy; 0x51uy; 0x46uy; 0xbbuy; 0xcbuy; 0x5duy; 0xb3uy; 0xefuy; 0x13uy; 0x93uy; 0x6euy; 0x68uy; 0x42uy; 0x54uy; 0x57uy; 0xd3uy; 0x6auy; 0x3auy; 0x8fuy; 0x9duy; 0x66uy; 0xbfuy; 0xbduy; 0x36uy; 0x23uy; 0xf5uy; 0x93uy; 0x83uy; 0x7buy; 0x9cuy; 0xc0uy; 0xdduy; 0xc5uy; 0x49uy; 0xc0uy; 0x64uy; 0xeduy; 0x07uy; 0x12uy; 0xb3uy; 0xe6uy; 0xe4uy; 0xe5uy; 0x38uy; 0x95uy; 0x23uy; 0xb1uy; 0xa0uy; 0x3buy; 0x1auy; 0x61uy; 0xdauy; 0x17uy; 0xacuy; 0xc3uy; 0x58uy; 0xdduy; 0x74uy; 0x64uy; 0x22uy; 0x11uy; 0xe8uy; 0x32uy; 0x1duy; 0x16uy; 0x93uy; 0x85uy; 0x99uy; 0xa5uy; 0x9cuy; 0x34uy; 0x55uy; 0xb1uy; 0xe9uy; 0x20uy; 0x72uy; 0xc9uy; 0x28uy; 0x7buy; 0x79uy; 0x00uy; 0xa1uy; 0xa6uy; 0xa3uy; 0x27uy; 0x40uy; 0x18uy; 0x8auy; 0x54uy; 0xe0uy; 0xccuy; 0xe8uy; 0x4euy; 0x8euy; 0x43uy; 0x96uy; 0xe7uy; 0x3fuy; 0xc8uy; 0xe9uy; 0xb2uy; 0xf9uy; 0xc9uy; 0xdauy; 0x04uy; 0x71uy; 0x50uy; 0x47uy; 0xe4uy; 0xaauy; 0xceuy; 0xa2uy; 0x30uy; 0xc8uy; 0xe4uy; 0xacuy; 0xc7uy; 0x0duy; 0x06uy; 0x2euy; 0xe6uy; 0xe8uy; 0x80uy; 0x36uy; 0x29uy; 0x9euy; 0x01uy; 0xb8uy; 0xc3uy; 0xf0uy; 0xa0uy; 0x5duy; 0x7auy; 0xcauy; 0x4duy; 0xa0uy; 0x57uy; 0xbduy; 0x2auy; 0x45uy; 0xa7uy; 0x7fuy; 0x9cuy; 0x93uy; 0x07uy; 0x8fuy; 0x35uy; 0x67uy; 0x92uy; 0xe3uy; 0xe9uy; 0x7fuy; 0xa8uy; 0x61uy; 0x43uy; 0x9euy; 0x25uy; 0x4fuy; 0x33uy; 0x76uy; 0x13uy; 0x6euy; 0x12uy; 0xb9uy; 0xdduy; 0xa4uy; 0x7cuy; 0x08uy; 0x9fuy; 0x7cuy; 0xe7uy; 0x0auy; 0x8duy; 0x84uy; 0x06uy; 0xa4uy; 0x33uy; 0x17uy; 0x34uy; 0x5euy; 0x10uy; 0x7cuy; 0xc0uy; 0xa8uy; 0x3duy; 0x1fuy; 0x42uy; 0x20uy; 0x51uy; 0x65uy; 0x5duy; 0x09uy; 0xc3uy; 0xaauy; 0xc0uy; 0xc8uy; 0x0duy; 0xf0uy; 0x79uy; 0xbcuy; 0x20uy; 0x1buy; 0x95uy; 0xe7uy; 0x06uy; 0x7duy; 0x47uy; 0x20uy; 0x03uy; 0x1auy; 0x74uy; 0xdduy; 0xe2uy; 0xd4uy; 0xaeuy; 0x38uy; 0x71uy; 0x9buy; 0xf5uy; 0x80uy; 0xecuy; 0x08uy; 0x4euy; 0x56uy; 0xbauy; 0x76uy; 0x12uy; 0x1auy; 0xdfuy; 0x48uy; 0xf3uy; 0xaeuy; 0xb3uy; 0xe6uy; 0xe6uy; 0xbeuy; 0xc0uy; 0x91uy; 0x2euy; 0x01uy; 0xb3uy; 0x01uy; 0x86uy; 0xa2uy; 0xb9uy; 0x52uy; 0xd1uy; 0x21uy; 0xaeuy; 0xd4uy; 0x97uy; 0x1duy; 0xefuy; 0x41uy; 0x12uy; 0x95uy; 0x3duy; 0x48uy; 0x45uy; 0x1cuy; 0x56uy; 0x32uy; 0x8fuy; 0xb8uy; 0x43uy; 0xbbuy; 0x19uy; 0xf3uy; 0xcauy; 0xe9uy; 0xebuy; 0x6duy; 0x84uy; 0xbeuy; 0x86uy; 0x06uy; 0xe2uy; 0x36uy; 0xb2uy; 0x62uy; 0x9duy; 0xd3uy; 0x4cuy; 0x48uy; 0x18uy; 0x54uy; 0x13uy; 0x4euy; 0xcfuy; 0xfduy; 0xbauy; 0x84uy; 0xb9uy; 0x30uy; 0x53uy; 0xcfuy; 0xfbuy; 0xb9uy; 0x29uy; 0x8fuy; 0xdcuy; 0x9fuy; 0xefuy; 0x60uy; 0x0buy; 0x64uy; 0xf6uy; 0x8buy; 0xeeuy; 0xa6uy; 0x91uy; 0xc2uy; 0x41uy; 0x6cuy; 0xf6uy; 0xfauy; 0x79uy; 0x67uy; 0x4buy; 0xc1uy; 0x3fuy; 0xafuy; 0x09uy; 0x81uy; 0xd4uy; 0x5duy; 0xcbuy; 0x09uy; 0xdfuy; 0x36uy; 0x31uy; 0xc0uy; 0x14uy; 0x3cuy; 0x7cuy; 0x0euy; 0x65uy; 0x95uy; 0x99uy; 0x6duy; 0xa3uy; 0xf4uy; 0xd7uy; 0x38uy; 0xeeuy; 0x1auy; 0x2buy; 0x37uy; 0xe2uy; 0xa4uy; 0x3buy; 0x4buy; 0xd0uy; 0x65uy; 0xcauy; 0xf8uy; 0xc3uy; 0xe8uy; 0x15uy; 0x20uy; 0xefuy; 0xf2uy; 0x00uy; 0xfduy; 0x01uy; 0x09uy; 0xc5uy; 0xc8uy; 0x17uy; 0x04uy; 0x93uy; 0xd0uy; 0x93uy; 0x03uy; 0x55uy; 0xc5uy; 0xfeuy; 0x32uy; 0xa3uy; 0x3euy; 0x28uy; 0x2duy; 0x3buy; 0x93uy; 0x8auy; 0xccuy; 0x07uy; 0x72uy; 0x80uy; 0x8buy; 0x74uy; 0x16uy; 0x24uy; 0xbbuy; 0xdauy; 0x94uy; 0x39uy; 0x30uy; 0x8fuy; 0xb1uy; 0xcduy; 0x4auy; 0x90uy; 0x92uy; 0x7cuy; 0x14uy; 0x8fuy; 0x95uy; 0x4euy; 0xacuy; 0x9buy; 0xd8uy; 0x8fuy; 0x1auy; 0x87uy; 0xa4uy; 0x32uy; 0x27uy; 0x8auy; 0xbauy; 0xf7uy; 0x41uy; 0xcfuy; 0x84uy; 0x37uy; 0x19uy; 0xe6uy; 0x06uy; 0xf5uy; 0x0euy; 0xcfuy; 0x36uy; 0xf5uy; 0x9euy; 0x6cuy; 0xdeuy; 0xbcuy; 0xffuy; 0x64uy; 0x7euy; 0x4euy; 0x59uy; 0x57uy; 0x48uy; 0xfeuy; 0x14uy; 0xf7uy; 0x9cuy; 0x93uy; 0x5duy; 0x15uy; 0xaduy; 0xccuy; 0x11uy; 0xb1uy; 0x17uy; 0x18uy; 0xb2uy; 0x7euy; 0xccuy; 0xabuy; 0xe9uy; 0xceuy; 0x7duy; 0x77uy; 0x5buy; 0x51uy; 0x1buy; 0x1euy; 0x20uy; 0xa8uy; 0x32uy; 0x06uy; 0x0euy; 0x75uy; 0x93uy; 0xacuy; 0xdbuy; 0x35uy; 0x37uy; 0x1fuy; 0xe9uy; 0x19uy; 0x1duy; 0xb4uy; 0x71uy; 0x97uy; 0xd6uy; 0x4euy; 0x2cuy; 0x08uy; 0xa5uy; 0x13uy; 0xf9uy; 0x0euy; 0x7euy; 0x78uy; 0x6euy; 0x14uy; 0xe0uy; 0xa9uy; 0xb9uy; 0x96uy; 0x4cuy; 0x80uy; 0x82uy; 0xbauy; 0x17uy; 0xb3uy; 0x9duy; 0x69uy; 0xb0uy; 0x84uy; 0x46uy; 0xffuy; 0xf9uy; 0x52uy; 0x79uy; 0x94uy; 0x58uy; 0x3auy; 0x62uy; 0x90uy; 0x15uy; 0x35uy; 0x71uy; 0x10uy; 0x37uy; 0xeduy; 0xa1uy; 0x8euy; 0x53uy; 0x6euy; 0xf4uy; 0x26uy; 0x57uy; 0x93uy; 0x15uy; 0x93uy; 0xf6uy; 0x81uy; 0x2cuy; 0x5auy; 0x10uy; 0xdauy; 0x92uy; 0xaduy; 0x2fuy; 0xdbuy; 0x28uy; 0x31uy; 0x2duy; 0x55uy; 0x04uy; 0xd2uy; 0x06uy; 0x28uy; 0x8cuy; 0x1euy; 0xdcuy; 0xeauy; 0x54uy; 0xacuy; 0xffuy; 0xb7uy; 0x6cuy; 0x30uy; 0x15uy; 0xd4uy; 0xb4uy; 0x0duy; 0x00uy; 0x93uy; 0x57uy; 0xdduy; 0xd2uy; 0x07uy; 0x07uy; 0x06uy; 0xd9uy; 0x43uy; 0x9buy; 0xcduy; 0x3auy; 0xf4uy; 0x7duy; 0x4cuy; 0x36uy; 0x5duy; 0x23uy; 0xa2uy; 0xccuy; 0x57uy; 0x40uy; 0x91uy; 0xe9uy; 0x2cuy; 0x2fuy; 0x2cuy; 0xd5uy; 0x30uy; 0x9buy; 0x17uy; 0xb0uy; 0xc9uy; 0xf7uy; 0xa7uy; 0x2fuy; 0xd1uy; 0x93uy; 0x20uy; 0x6buy; 0xc6uy; 0xc1uy; 0xe4uy; 0x6fuy; 0xcbuy; 0xd1uy; 0xe7uy; 0x09uy; 0x0fuy; 0x9euy; 0xdcuy; 0xaauy; 0x9fuy; 0x2fuy; 0xdfuy; 0x56uy; 0x9fuy; 0xd4uy; 0x33uy; 0x04uy; 0xafuy; 0xd3uy; 0x6cuy; 0x58uy; 0x61uy; 0xf0uy; 0x30uy; 0xecuy; 0xf2uy; 0x7fuy; 0xf2uy; 0x9cuy; 0xdfuy; 0x39uy; 0xbbuy; 0x6fuy; 0xa2uy; 0x8cuy; 0x7euy; 0xc4uy; 0x22uy; 0x51uy; 0x71uy; 0xc0uy; 0x4duy; 0x14uy; 0x1auy; 0xc4uy; 0xcduy; 0x04uy; 0xd9uy; 0x87uy; 0x08uy; 0x50uy; 0x05uy; 0xccuy; 0xafuy; 0xf6uy; 0xf0uy; 0x8fuy; 0x92uy; 0x54uy; 0x58uy; 0xc2uy; 0xc7uy; 0x09uy; 0x7auy; 0x59uy; 0x02uy; 0x05uy; 0xe8uy; 0xb0uy; 0x86uy; 0xd9uy; 0xbfuy; 0x7buy; 0x35uy; 0x51uy; 0x4duy; 0xafuy; 0x08uy; 0x97uy; 0x2cuy; 0x65uy; 0xdauy; 0x2auy; 0x71uy; 0x3auy; 0xa8uy; 0x51uy; 0xccuy; 0xf2uy; 0x73uy; 0x27uy; 0xc3uy; 0xfduy; 0x62uy; 0xcfuy; 0xe3uy; 0xb2uy; 0xcauy; 0xcbuy; 0xbeuy; 0x1auy; 0x0auy; 0xa1uy; 0x34uy; 0x7buy; 0x77uy; 0xc4uy; 0x62uy; 0x68uy; 0x78uy; 0x5fuy; 0x94uy; 0x07uy; 0x04uy; 0x65uy; 0x16uy; 0x4buy; 0x61uy; 0xcbuy; 0xffuy; 0x75uy; 0x26uy; 0x50uy; 0x66uy; 0x1fuy; 0x6euy; 0x93uy; 0xf8uy; 0xc5uy; 0x51uy; 0xebuy; 0xa4uy; 0x4auy; 0x48uy; 0x68uy; 0x6buy; 0xe2uy; 0x5euy; 0x44uy; 0xb2uy; 0x50uy; 0x2cuy; 0x6cuy; 0xaeuy; 0x79uy; 0x4euy; 0x66uy; 0x35uy; 0x81uy; 0x50uy; 0xacuy; 0xbcuy; 0x3fuy; 0xb1uy; 0x0cuy; 0xf3uy; 0x05uy; 0x3cuy; 0x4auy; 0xa3uy; 0x6cuy; 0x2auy; 0x79uy; 0xb4uy; 0xb7uy; 0xabuy; 0xcauy; 0xc7uy; 0x9buy; 0x8euy; 0xcduy; 0x5fuy; 0x11uy; 0x03uy; 0xcbuy; 0x30uy; 0xa3uy; 0xabuy; 0xdauy; 0xfeuy; 0x64uy; 0xb9uy; 0xbbuy; 0xd8uy; 0x5euy; 0x3auy; 0x1auy; 0x56uy; 0xe5uy; 0x05uy; 0x48uy; 0x90uy; 0x1euy; 0x61uy; 0x69uy; 0x1buy; 0x22uy; 0xe6uy; 0x1auy; 0x3cuy; 0x75uy; 0xaduy; 0x1fuy; 0x37uy; 0x28uy; 0xdcuy; 0xe4uy; 0x6duy; 0xbduy; 0x42uy; 0xdcuy; 0xd3uy; 0xc8uy; 0xb6uy; 0x1cuy; 0x48uy; 0xfeuy; 0x94uy; 0x77uy; 0x7fuy; 0xbduy; 0x62uy; 0xacuy; 0xa3uy; 0x47uy; 0x27uy; 0xcfuy; 0x5fuy; 0xd9uy; 0xdbuy; 0xafuy; 0xecuy; 0xf7uy; 0x5euy; 0xc1uy; 0xb0uy; 0x9duy; 0x01uy; 0x26uy; 0x99uy; 0x7euy; 0x8fuy; 0x03uy; 0x70uy; 0xb5uy; 0x42uy; 0xbeuy; 0x67uy; 0x28uy; 0x1buy; 0x7cuy; 0xbduy; 0x61uy; 0x21uy; 0x97uy; 0xccuy; 0x5cuy; 0xe1uy; 0x97uy; 0x8fuy; 0x8duy; 0xdeuy; 0x2buy; 0xaauy; 0xa7uy; 0x71uy; 0x1duy; 0x1euy; 0x02uy; 0x73uy; 0x70uy; 0x58uy; 0x32uy; 0x5buy; 0x1duy; 0x67uy; 0x3duy; 0xe0uy; 0x74uy; 0x4fuy; 0x03uy; 0xf2uy; 0x70uy; 0x51uy; 0x79uy; 0xf1uy; 0x61uy; 0x70uy; 0x15uy; 0x74uy; 0x9duy; 0x23uy; 0x89uy; 0xdeuy; 0xacuy; 0xfduy; 0xdeuy; 0xd0uy; 0x1fuy; 0xc3uy; 0x87uy; 0x44uy; 0x35uy; 0x4buy; 0xe5uy; 0xb0uy; 0x60uy; 0xc5uy; 0x22uy; 0xe4uy; 0x9euy; 0xcauy; 0xebuy; 0xd5uy; 0x3auy; 0x09uy; 0x45uy; 0xa4uy; 0xdbuy; 0xfauy; 0x3fuy; 0xebuy; 0x1buy; 0xc7uy; 0xc8uy; 0x14uy; 0x99uy; 0x51uy; 0x92uy; 0x10uy; 0xeduy; 0xeduy; 0x28uy; 0xe0uy; 0xa1uy; 0xf8uy; 0x26uy; 0xcfuy; 0xcduy; 0xcbuy; 0x63uy; 0xa1uy; 0x3buy; 0xe3uy; 0xdfuy; 0x7euy; 0xfeuy; 0xa6uy; 0xf0uy; 0x81uy; 0x9auy; 0xbfuy; 0x55uy; 0xdeuy; 0x54uy; 0xd5uy; 0x56uy; 0x60uy; 0x98uy; 0x10uy; 0x68uy; 0xf4uy; 0x38uy; 0x96uy; 0x8euy; 0x6fuy; 0x1duy; 0x44uy; 0x7fuy; 0xd6uy; 0x2fuy; 0xfeuy; 0x55uy; 0xfbuy; 0x0cuy; 0x7euy; 0x67uy; 0xe2uy; 0x61uy; 0x44uy; 0xeduy; 0xf2uy; 0x35uy; 0x30uy; 0x5duy; 0xe9uy; 0xc7uy; 0xd6uy; 0x6duy; 0xe0uy; 0xa0uy; 0xeduy; 0xf3uy; 0xfcuy; 0xd8uy; 0x3euy; 0x0auy; 0x7buy; 0xcduy; 0xafuy; 0x65uy; 0x68uy; 0x18uy; 0xc0uy; 0xecuy; 0x04uy; 0x1cuy; 0x74uy; 0x6duy; 0xe2uy; 0x6euy; 0x79uy; 0xd4uy; 0x11uy; 0x2buy; 0x62uy; 0xd5uy; 0x27uy; 0xaduy; 0x4fuy; 0x01uy; 0x59uy; 0x73uy; 0xccuy; 0x6auy; 0x53uy; 0xfbuy; 0x2duy; 0xd5uy; 0x4euy; 0x99uy; 0x21uy; 0x65uy; 0x4duy; 0xf5uy; 0x82uy; 0xf7uy; 0xd8uy; 0x42uy; 0xceuy; 0x6fuy; 0x3duy; 0x36uy; 0x47uy; 0xf1uy; 0x05uy; 0x16uy; 0xe8uy; 0x1buy; 0x6auy; 0x8fuy; 0x93uy; 0xf2uy; 0x8fuy; 0x37uy; 0x40uy; 0x12uy; 0x28uy; 0xa3uy; 0xe6uy; 0xb9uy; 0x17uy; 0x4auy; 0x1fuy; 0xb1uy; 0xd1uy; 0x66uy; 0x69uy; 0x86uy; 0xc4uy; 0xfcuy; 0x97uy; 0xaeuy; 0x3fuy; 0x8fuy; 0x1euy; 0x2buy; 0xdfuy; 0xcduy; 0xf9uy; 0x3cuy; ] in assert_norm (List.Tot.length l = 1949); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output10_len: (x:UInt32.t { UInt32.v x = B.length output10 }) = 1949ul let key11: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0xb3uy; 0x35uy; 0x50uy; 0x03uy; 0x54uy; 0x2euy; 0x40uy; 0x5euy; 0x8fuy; 0x59uy; 0x8euy; 0xc5uy; 0x90uy; 0xd5uy; 0x27uy; 0x2duy; 0xbauy; 0x29uy; 0x2euy; 0xcbuy; 0x1buy; 0x70uy; 0x44uy; 0x1euy; 0x65uy; 0x91uy; 0x6euy; 0x2auy; 0x79uy; 0x22uy; 0xdauy; 0x64uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key11_len: (x:UInt32.t { UInt32.v x = B.length key11 }) = 32ul let nonce11: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x05uy; 0xa3uy; 0x93uy; 0xeduy; 0x30uy; 0xc5uy; 0xa2uy; 0x06uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce11_len: (x:UInt32.t { UInt32.v x = B.length nonce11 }) = 12ul let aad11: (b: B.buffer UInt8.t { B.length b = 63 /\ B.recallable b }) = [@inline_let] let l = [ 0xb1uy; 0x69uy; 0x83uy; 0x87uy; 0x30uy; 0xaauy; 0x5duy; 0xb8uy; 0x77uy; 0xe8uy; 0x21uy; 0xffuy; 0x06uy; 0x59uy; 0x35uy; 0xceuy; 0x75uy; 0xfeuy; 0x38uy; 0xefuy; 0xb8uy; 0x91uy; 0x43uy; 0x8cuy; 0xcfuy; 0x70uy; 0xdduy; 0x0auy; 0x68uy; 0xbfuy; 0xd4uy; 0xbcuy; 0x16uy; 0x76uy; 0x99uy; 0x36uy; 0x1euy; 0x58uy; 0x79uy; 0x5euy; 0xd4uy; 0x29uy; 0xf7uy; 0x33uy; 0x93uy; 0x48uy; 0xdbuy; 0x5fuy; 0x01uy; 0xaeuy; 0x9cuy; 0xb6uy; 0xe4uy; 0x88uy; 0x6duy; 0x2buy; 0x76uy; 0x75uy; 0xe0uy; 0xf3uy; 0x74uy; 0xe2uy; 0xc9uy; ] in assert_norm (List.Tot.length l = 63); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad11_len: (x:UInt32.t { UInt32.v x = B.length aad11 }) = 63ul let input11: (b: B.buffer UInt8.t { B.length b = 2011 /\ B.recallable b /\ B.disjoint b aad11 }) = B.recall aad11;[@inline_let] let l = [ 0x74uy; 0xa6uy; 0x3euy; 0xe4uy; 0xb1uy; 0xcbuy; 0xafuy; 0xb0uy; 0x40uy; 0xe5uy; 0x0fuy; 0x9euy; 0xf1uy; 0xf2uy; 0x89uy; 0xb5uy; 0x42uy; 0x34uy; 0x8auy; 0xa1uy; 0x03uy; 0xb7uy; 0xe9uy; 0x57uy; 0x46uy; 0xbeuy; 0x20uy; 0xe4uy; 0x6euy; 0xb0uy; 0xebuy; 0xffuy; 0xeauy; 0x07uy; 0x7euy; 0xefuy; 0xe2uy; 0x55uy; 0x9fuy; 0xe5uy; 0x78uy; 0x3auy; 0xb7uy; 0x83uy; 0xc2uy; 0x18uy; 0x40uy; 0x7buy; 0xebuy; 0xcduy; 0x81uy; 0xfbuy; 0x90uy; 0x12uy; 0x9euy; 0x46uy; 0xa9uy; 0xd6uy; 0x4auy; 0xbauy; 0xb0uy; 0x62uy; 0xdbuy; 0x6buy; 0x99uy; 0xc4uy; 0xdbuy; 0x54uy; 0x4buy; 0xb8uy; 0xa5uy; 0x71uy; 0xcbuy; 0xcduy; 0x63uy; 0x32uy; 0x55uy; 0xfbuy; 0x31uy; 0xf0uy; 0x38uy; 0xf5uy; 0xbeuy; 0x78uy; 0xe4uy; 0x45uy; 0xceuy; 0x1buy; 0x6auy; 0x5buy; 0x0euy; 0xf4uy; 0x16uy; 0xe4uy; 0xb1uy; 0x3duy; 0xf6uy; 0x63uy; 0x7buy; 0xa7uy; 0x0cuy; 0xdeuy; 0x6fuy; 0x8fuy; 0x74uy; 0xdfuy; 0xe0uy; 0x1euy; 0x9duy; 0xceuy; 0x8fuy; 0x24uy; 0xefuy; 0x23uy; 0x35uy; 0x33uy; 0x7buy; 0x83uy; 0x34uy; 0x23uy; 0x58uy; 0x74uy; 0x14uy; 0x77uy; 0x1fuy; 0xc2uy; 0x4fuy; 0x4euy; 0xc6uy; 0x89uy; 0xf9uy; 0x52uy; 0x09uy; 0x37uy; 0x64uy; 0x14uy; 0xc4uy; 0x01uy; 0x6buy; 0x9duy; 0x77uy; 0xe8uy; 0x90uy; 0x5duy; 0xa8uy; 0x4auy; 0x2auy; 0xefuy; 0x5cuy; 0x7fuy; 0xebuy; 0xbbuy; 0xb2uy; 0xc6uy; 0x93uy; 0x99uy; 0x66uy; 0xdcuy; 0x7fuy; 0xd4uy; 0x9euy; 0x2auy; 0xcauy; 0x8duy; 0xdbuy; 0xe7uy; 0x20uy; 0xcfuy; 0xe4uy; 0x73uy; 0xaeuy; 0x49uy; 0x7duy; 0x64uy; 0x0fuy; 0x0euy; 0x28uy; 0x46uy; 0xa9uy; 0xa8uy; 0x32uy; 0xe4uy; 0x0euy; 0xf6uy; 0x51uy; 0x53uy; 0xb8uy; 0x3cuy; 0xb1uy; 0xffuy; 0xa3uy; 0x33uy; 0x41uy; 0x75uy; 0xffuy; 0xf1uy; 0x6fuy; 0xf1uy; 0xfbuy; 0xbbuy; 0x83uy; 0x7fuy; 0x06uy; 0x9buy; 0xe7uy; 0x1buy; 0x0auy; 0xe0uy; 0x5cuy; 0x33uy; 0x60uy; 0x5buy; 0xdbuy; 0x5buy; 0xeduy; 0xfeuy; 0xa5uy; 0x16uy; 0x19uy; 0x72uy; 0xa3uy; 0x64uy; 0x23uy; 0x00uy; 0x02uy; 0xc7uy; 0xf3uy; 0x6auy; 0x81uy; 0x3euy; 0x44uy; 0x1duy; 0x79uy; 0x15uy; 0x5fuy; 0x9auy; 0xdeuy; 0xe2uy; 0xfduy; 0x1buy; 0x73uy; 0xc1uy; 0xbcuy; 0x23uy; 0xbauy; 0x31uy; 0xd2uy; 0x50uy; 0xd5uy; 0xaduy; 0x7fuy; 0x74uy; 0xa7uy; 0xc9uy; 0xf8uy; 0x3euy; 0x2buy; 0x26uy; 0x10uy; 0xf6uy; 0x03uy; 0x36uy; 0x74uy; 0xe4uy; 0x0euy; 0x6auy; 0x72uy; 0xb7uy; 0x73uy; 0x0auy; 0x42uy; 0x28uy; 0xc2uy; 0xaduy; 0x5euy; 0x03uy; 0xbeuy; 0xb8uy; 0x0buy; 0xa8uy; 0x5buy; 0xd4uy; 0xb8uy; 0xbauy; 0x52uy; 0x89uy; 0xb1uy; 0x9buy; 0xc1uy; 0xc3uy; 0x65uy; 0x87uy; 0xeduy; 0xa5uy; 0xf4uy; 0x86uy; 0xfduy; 0x41uy; 0x80uy; 0x91uy; 0x27uy; 0x59uy; 0x53uy; 0x67uy; 0x15uy; 0x78uy; 0x54uy; 0x8buy; 0x2duy; 0x3duy; 0xc7uy; 0xffuy; 0x02uy; 0x92uy; 0x07uy; 0x5fuy; 0x7auy; 0x4buy; 0x60uy; 0x59uy; 0x3cuy; 0x6fuy; 0x5cuy; 0xd8uy; 0xecuy; 0x95uy; 0xd2uy; 0xfeuy; 0xa0uy; 0x3buy; 0xd8uy; 0x3fuy; 0xd1uy; 0x69uy; 0xa6uy; 0xd6uy; 0x41uy; 0xb2uy; 0xf4uy; 0x4duy; 0x12uy; 0xf4uy; 0x58uy; 0x3euy; 0x66uy; 0x64uy; 0x80uy; 0x31uy; 0x9buy; 0xa8uy; 0x4cuy; 0x8buy; 0x07uy; 0xb2uy; 0xecuy; 0x66uy; 0x94uy; 0x66uy; 0x47uy; 0x50uy; 0x50uy; 0x5fuy; 0x18uy; 0x0buy; 0x0euy; 0xd6uy; 0xc0uy; 0x39uy; 0x21uy; 0x13uy; 0x9euy; 0x33uy; 0xbcuy; 0x79uy; 0x36uy; 0x02uy; 0x96uy; 0x70uy; 0xf0uy; 0x48uy; 0x67uy; 0x2fuy; 0x26uy; 0xe9uy; 0x6duy; 0x10uy; 0xbbuy; 0xd6uy; 0x3fuy; 0xd1uy; 0x64uy; 0x7auy; 0x2euy; 0xbeuy; 0x0cuy; 0x61uy; 0xf0uy; 0x75uy; 0x42uy; 0x38uy; 0x23uy; 0xb1uy; 0x9euy; 0x9fuy; 0x7cuy; 0x67uy; 0x66uy; 0xd9uy; 0x58uy; 0x9auy; 0xf1uy; 0xbbuy; 0x41uy; 0x2auy; 0x8duy; 0x65uy; 0x84uy; 0x94uy; 0xfcuy; 0xdcuy; 0x6auy; 0x50uy; 0x64uy; 0xdbuy; 0x56uy; 0x33uy; 0x76uy; 0x00uy; 0x10uy; 0xeduy; 0xbeuy; 0xd2uy; 0x12uy; 0xf6uy; 0xf6uy; 0x1buy; 0xa2uy; 0x16uy; 0xdeuy; 0xaeuy; 0x31uy; 0x95uy; 0xdduy; 0xb1uy; 0x08uy; 0x7euy; 0x4euy; 0xeeuy; 0xe7uy; 0xf9uy; 0xa5uy; 0xfbuy; 0x5buy; 0x61uy; 0x43uy; 0x00uy; 0x40uy; 0xf6uy; 0x7euy; 0x02uy; 0x04uy; 0x32uy; 0x4euy; 0x0cuy; 0xe2uy; 0x66uy; 0x0duy; 0xd7uy; 0x07uy; 0x98uy; 0x0euy; 0xf8uy; 0x72uy; 0x34uy; 0x6duy; 0x95uy; 0x86uy; 0xd7uy; 0xcbuy; 0x31uy; 0x54uy; 0x47uy; 0xd0uy; 0x38uy; 0x29uy; 0x9cuy; 0x5auy; 0x68uy; 0xd4uy; 0x87uy; 0x76uy; 0xc9uy; 0xe7uy; 0x7euy; 0xe3uy; 0xf4uy; 0x81uy; 0x6duy; 0x18uy; 0xcbuy; 0xc9uy; 0x05uy; 0xafuy; 0xa0uy; 0xfbuy; 0x66uy; 0xf7uy; 0xf1uy; 0x1cuy; 0xc6uy; 0x14uy; 0x11uy; 0x4fuy; 0x2buy; 0x79uy; 0x42uy; 0x8buy; 0xbcuy; 0xacuy; 0xe7uy; 0x6cuy; 0xfeuy; 0x0fuy; 0x58uy; 0xe7uy; 0x7cuy; 0x78uy; 0x39uy; 0x30uy; 0xb0uy; 0x66uy; 0x2cuy; 0x9buy; 0x6duy; 0x3auy; 0xe1uy; 0xcfuy; 0xc9uy; 0xa4uy; 0x0euy; 0x6duy; 0x6duy; 0x8auy; 0xa1uy; 0x3auy; 0xe7uy; 0x28uy; 0xd4uy; 0x78uy; 0x4cuy; 0xa6uy; 0xa2uy; 0x2auy; 0xa6uy; 0x03uy; 0x30uy; 0xd7uy; 0xa8uy; 0x25uy; 0x66uy; 0x87uy; 0x2fuy; 0x69uy; 0x5cuy; 0x4euy; 0xdduy; 0xa5uy; 0x49uy; 0x5duy; 0x37uy; 0x4auy; 0x59uy; 0xc4uy; 0xafuy; 0x1fuy; 0xa2uy; 0xe4uy; 0xf8uy; 0xa6uy; 0x12uy; 0x97uy; 0xd5uy; 0x79uy; 0xf5uy; 0xe2uy; 0x4auy; 0x2buy; 0x5fuy; 0x61uy; 0xe4uy; 0x9euy; 0xe3uy; 0xeeuy; 0xb8uy; 0xa7uy; 0x5buy; 0x2fuy; 0xf4uy; 0x9euy; 0x6cuy; 0xfbuy; 0xd1uy; 0xc6uy; 0x56uy; 0x77uy; 0xbauy; 0x75uy; 0xaauy; 0x3duy; 0x1auy; 0xa8uy; 0x0buy; 0xb3uy; 0x68uy; 0x24uy; 0x00uy; 0x10uy; 0x7fuy; 0xfduy; 0xd7uy; 0xa1uy; 0x8duy; 0x83uy; 0x54uy; 0x4fuy; 0x1fuy; 0xd8uy; 0x2auy; 0xbeuy; 0x8auy; 0x0cuy; 0x87uy; 0xabuy; 0xa2uy; 0xdeuy; 0xc3uy; 0x39uy; 0xbfuy; 0x09uy; 0x03uy; 0xa5uy; 0xf3uy; 0x05uy; 0x28uy; 0xe1uy; 0xe1uy; 0xeeuy; 0x39uy; 0x70uy; 0x9cuy; 0xd8uy; 0x81uy; 0x12uy; 0x1euy; 0x02uy; 0x40uy; 0xd2uy; 0x6euy; 0xf0uy; 0xebuy; 0x1buy; 0x3duy; 0x22uy; 0xc6uy; 0xe5uy; 0xe3uy; 0xb4uy; 0x5auy; 0x98uy; 0xbbuy; 0xf0uy; 0x22uy; 0x28uy; 0x8duy; 0xe5uy; 0xd3uy; 0x16uy; 0x48uy; 0x24uy; 0xa5uy; 0xe6uy; 0x66uy; 0x0cuy; 0xf9uy; 0x08uy; 0xf9uy; 0x7euy; 0x1euy; 0xe1uy; 0x28uy; 0x26uy; 0x22uy; 0xc7uy; 0xc7uy; 0x0auy; 0x32uy; 0x47uy; 0xfauy; 0xa3uy; 0xbeuy; 0x3cuy; 0xc4uy; 0xc5uy; 0x53uy; 0x0auy; 0xd5uy; 0x94uy; 0x4auy; 0xd7uy; 0x93uy; 0xd8uy; 0x42uy; 0x99uy; 0xb9uy; 0x0auy; 0xdbuy; 0x56uy; 0xf7uy; 0xb9uy; 0x1cuy; 0x53uy; 0x4fuy; 0xfauy; 0xd3uy; 0x74uy; 0xaduy; 0xd9uy; 0x68uy; 0xf1uy; 0x1buy; 0xdfuy; 0x61uy; 0xc6uy; 0x5euy; 0xa8uy; 0x48uy; 0xfcuy; 0xd4uy; 0x4auy; 0x4cuy; 0x3cuy; 0x32uy; 0xf7uy; 0x1cuy; 0x96uy; 0x21uy; 0x9buy; 0xf9uy; 0xa3uy; 0xccuy; 0x5auy; 0xceuy; 0xd5uy; 0xd7uy; 0x08uy; 0x24uy; 0xf6uy; 0x1cuy; 0xfduy; 0xdduy; 0x38uy; 0xc2uy; 0x32uy; 0xe9uy; 0xb8uy; 0xe7uy; 0xb6uy; 0xfauy; 0x9duy; 0x45uy; 0x13uy; 0x2cuy; 0x83uy; 0xfduy; 0x4auy; 0x69uy; 0x82uy; 0xcduy; 0xdcuy; 0xb3uy; 0x76uy; 0x0cuy; 0x9euy; 0xd8uy; 0xf4uy; 0x1buy; 0x45uy; 0x15uy; 0xb4uy; 0x97uy; 0xe7uy; 0x58uy; 0x34uy; 0xe2uy; 0x03uy; 0x29uy; 0x5auy; 0xbfuy; 0xb6uy; 0xe0uy; 0x5duy; 0x13uy; 0xd9uy; 0x2buy; 0xb4uy; 0x80uy; 0xb2uy; 0x45uy; 0x81uy; 0x6auy; 0x2euy; 0x6cuy; 0x89uy; 0x7duy; 0xeeuy; 0xbbuy; 0x52uy; 0xdduy; 0x1fuy; 0x18uy; 0xe7uy; 0x13uy; 0x6buy; 0x33uy; 0x0euy; 0xeauy; 0x36uy; 0x92uy; 0x77uy; 0x7buy; 0x6duy; 0x9cuy; 0x5auy; 0x5fuy; 0x45uy; 0x7buy; 0x7buy; 0x35uy; 0x62uy; 0x23uy; 0xd1uy; 0xbfuy; 0x0fuy; 0xd0uy; 0x08uy; 0x1buy; 0x2buy; 0x80uy; 0x6buy; 0x7euy; 0xf1uy; 0x21uy; 0x47uy; 0xb0uy; 0x57uy; 0xd1uy; 0x98uy; 0x72uy; 0x90uy; 0x34uy; 0x1cuy; 0x20uy; 0x04uy; 0xffuy; 0x3duy; 0x5cuy; 0xeeuy; 0x0euy; 0x57uy; 0x5fuy; 0x6fuy; 0x24uy; 0x4euy; 0x3cuy; 0xeauy; 0xfcuy; 0xa5uy; 0xa9uy; 0x83uy; 0xc9uy; 0x61uy; 0xb4uy; 0x51uy; 0x24uy; 0xf8uy; 0x27uy; 0x5euy; 0x46uy; 0x8cuy; 0xb1uy; 0x53uy; 0x02uy; 0x96uy; 0x35uy; 0xbauy; 0xb8uy; 0x4cuy; 0x71uy; 0xd3uy; 0x15uy; 0x59uy; 0x35uy; 0x22uy; 0x20uy; 0xaduy; 0x03uy; 0x9fuy; 0x66uy; 0x44uy; 0x3buy; 0x9cuy; 0x35uy; 0x37uy; 0x1fuy; 0x9buy; 0xbbuy; 0xf3uy; 0xdbuy; 0x35uy; 0x63uy; 0x30uy; 0x64uy; 0xaauy; 0xa2uy; 0x06uy; 0xa8uy; 0x5duy; 0xbbuy; 0xe1uy; 0x9fuy; 0x70uy; 0xecuy; 0x82uy; 0x11uy; 0x06uy; 0x36uy; 0xecuy; 0x8buy; 0x69uy; 0x66uy; 0x24uy; 0x44uy; 0xc9uy; 0x4auy; 0x57uy; 0xbbuy; 0x9buy; 0x78uy; 0x13uy; 0xceuy; 0x9cuy; 0x0cuy; 0xbauy; 0x92uy; 0x93uy; 0x63uy; 0xb8uy; 0xe2uy; 0x95uy; 0x0fuy; 0x0fuy; 0x16uy; 0x39uy; 0x52uy; 0xfduy; 0x3auy; 0x6duy; 0x02uy; 0x4buy; 0xdfuy; 0x13uy; 0xd3uy; 0x2auy; 0x22uy; 0xb4uy; 0x03uy; 0x7cuy; 0x54uy; 0x49uy; 0x96uy; 0x68uy; 0x54uy; 0x10uy; 0xfauy; 0xefuy; 0xaauy; 0x6cuy; 0xe8uy; 0x22uy; 0xdcuy; 0x71uy; 0x16uy; 0x13uy; 0x1auy; 0xf6uy; 0x28uy; 0xe5uy; 0x6duy; 0x77uy; 0x3duy; 0xcduy; 0x30uy; 0x63uy; 0xb1uy; 0x70uy; 0x52uy; 0xa1uy; 0xc5uy; 0x94uy; 0x5fuy; 0xcfuy; 0xe8uy; 0xb8uy; 0x26uy; 0x98uy; 0xf7uy; 0x06uy; 0xa0uy; 0x0auy; 0x70uy; 0xfauy; 0x03uy; 0x80uy; 0xacuy; 0xc1uy; 0xecuy; 0xd6uy; 0x4cuy; 0x54uy; 0xd7uy; 0xfeuy; 0x47uy; 0xb6uy; 0x88uy; 0x4auy; 0xf7uy; 0x71uy; 0x24uy; 0xeeuy; 0xf3uy; 0xd2uy; 0xc2uy; 0x4auy; 0x7fuy; 0xfeuy; 0x61uy; 0xc7uy; 0x35uy; 0xc9uy; 0x37uy; 0x67uy; 0xcbuy; 0x24uy; 0x35uy; 0xdauy; 0x7euy; 0xcauy; 0x5fuy; 0xf3uy; 0x8duy; 0xd4uy; 0x13uy; 0x8euy; 0xd6uy; 0xcbuy; 0x4duy; 0x53uy; 0x8fuy; 0x53uy; 0x1fuy; 0xc0uy; 0x74uy; 0xf7uy; 0x53uy; 0xb9uy; 0x5euy; 0x23uy; 0x37uy; 0xbauy; 0x6euy; 0xe3uy; 0x9duy; 0x07uy; 0x55uy; 0x25uy; 0x7buy; 0xe6uy; 0x2auy; 0x64uy; 0xd1uy; 0x32uy; 0xdduy; 0x54uy; 0x1buy; 0x4buy; 0xc0uy; 0xe1uy; 0xd7uy; 0x69uy; 0x58uy; 0xf8uy; 0x93uy; 0x29uy; 0xc4uy; 0xdduy; 0x23uy; 0x2fuy; 0xa5uy; 0xfcuy; 0x9duy; 0x7euy; 0xf8uy; 0xd4uy; 0x90uy; 0xcduy; 0x82uy; 0x55uy; 0xdcuy; 0x16uy; 0x16uy; 0x9fuy; 0x07uy; 0x52uy; 0x9buy; 0x9duy; 0x25uy; 0xeduy; 0x32uy; 0xc5uy; 0x7buy; 0xdfuy; 0xf6uy; 0x83uy; 0x46uy; 0x3duy; 0x65uy; 0xb7uy; 0xefuy; 0x87uy; 0x7auy; 0x12uy; 0x69uy; 0x8fuy; 0x06uy; 0x7cuy; 0x51uy; 0x15uy; 0x4auy; 0x08uy; 0xe8uy; 0xacuy; 0x9auy; 0x0cuy; 0x24uy; 0xa7uy; 0x27uy; 0xd8uy; 0x46uy; 0x2fuy; 0xe7uy; 0x01uy; 0x0euy; 0x1cuy; 0xc6uy; 0x91uy; 0xb0uy; 0x6euy; 0x85uy; 0x65uy; 0xf0uy; 0x29uy; 0x0duy; 0x2euy; 0x6buy; 0x3buy; 0xfbuy; 0x4buy; 0xdfuy; 0xe4uy; 0x80uy; 0x93uy; 0x03uy; 0x66uy; 0x46uy; 0x3euy; 0x8auy; 0x6euy; 0xf3uy; 0x5euy; 0x4duy; 0x62uy; 0x0euy; 0x49uy; 0x05uy; 0xafuy; 0xd4uy; 0xf8uy; 0x21uy; 0x20uy; 0x61uy; 0x1duy; 0x39uy; 0x17uy; 0xf4uy; 0x61uy; 0x47uy; 0x95uy; 0xfbuy; 0x15uy; 0x2euy; 0xb3uy; 0x4fuy; 0xd0uy; 0x5duy; 0xf5uy; 0x7duy; 0x40uy; 0xdauy; 0x90uy; 0x3cuy; 0x6buy; 0xcbuy; 0x17uy; 0x00uy; 0x13uy; 0x3buy; 0x64uy; 0x34uy; 0x1buy; 0xf0uy; 0xf2uy; 0xe5uy; 0x3buy; 0xb2uy; 0xc7uy; 0xd3uy; 0x5fuy; 0x3auy; 0x44uy; 0xa6uy; 0x9buy; 0xb7uy; 0x78uy; 0x0euy; 0x42uy; 0x5duy; 0x4cuy; 0xc1uy; 0xe9uy; 0xd2uy; 0xcbuy; 0xb7uy; 0x78uy; 0xd1uy; 0xfeuy; 0x9auy; 0xb5uy; 0x07uy; 0xe9uy; 0xe0uy; 0xbeuy; 0xe2uy; 0x8auy; 0xa7uy; 0x01uy; 0x83uy; 0x00uy; 0x8cuy; 0x5cuy; 0x08uy; 0xe6uy; 0x63uy; 0x12uy; 0x92uy; 0xb7uy; 0xb7uy; 0xa6uy; 0x19uy; 0x7duy; 0x38uy; 0x13uy; 0x38uy; 0x92uy; 0x87uy; 0x24uy; 0xf9uy; 0x48uy; 0xb3uy; 0x5euy; 0x87uy; 0x6auy; 0x40uy; 0x39uy; 0x5cuy; 0x3fuy; 0xeduy; 0x8fuy; 0xeeuy; 0xdbuy; 0x15uy; 0x82uy; 0x06uy; 0xdauy; 0x49uy; 0x21uy; 0x2buy; 0xb5uy; 0xbfuy; 0x32uy; 0x7cuy; 0x9fuy; 0x42uy; 0x28uy; 0x63uy; 0xcfuy; 0xafuy; 0x1euy; 0xf8uy; 0xc6uy; 0xa0uy; 0xd1uy; 0x02uy; 0x43uy; 0x57uy; 0x62uy; 0xecuy; 0x9buy; 0x0fuy; 0x01uy; 0x9euy; 0x71uy; 0xd8uy; 0x87uy; 0x9duy; 0x01uy; 0xc1uy; 0x58uy; 0x77uy; 0xd9uy; 0xafuy; 0xb1uy; 0x10uy; 0x7euy; 0xdduy; 0xa6uy; 0x50uy; 0x96uy; 0xe5uy; 0xf0uy; 0x72uy; 0x00uy; 0x6duy; 0x4buy; 0xf8uy; 0x2auy; 0x8fuy; 0x19uy; 0xf3uy; 0x22uy; 0x88uy; 0x11uy; 0x4auy; 0x8buy; 0x7cuy; 0xfduy; 0xb7uy; 0xeduy; 0xe1uy; 0xf6uy; 0x40uy; 0x39uy; 0xe0uy; 0xe9uy; 0xf6uy; 0x3duy; 0x25uy; 0xe6uy; 0x74uy; 0x3cuy; 0x58uy; 0x57uy; 0x7fuy; 0xe1uy; 0x22uy; 0x96uy; 0x47uy; 0x31uy; 0x91uy; 0xbauy; 0x70uy; 0x85uy; 0x28uy; 0x6buy; 0x9fuy; 0x6euy; 0x25uy; 0xacuy; 0x23uy; 0x66uy; 0x2fuy; 0x29uy; 0x88uy; 0x28uy; 0xceuy; 0x8cuy; 0x5cuy; 0x88uy; 0x53uy; 0xd1uy; 0x3buy; 0xccuy; 0x6auy; 0x51uy; 0xb2uy; 0xe1uy; 0x28uy; 0x3fuy; 0x91uy; 0xb4uy; 0x0duy; 0x00uy; 0x3auy; 0xe3uy; 0xf8uy; 0xc3uy; 0x8fuy; 0xd7uy; 0x96uy; 0x62uy; 0x0euy; 0x2euy; 0xfcuy; 0xc8uy; 0x6cuy; 0x77uy; 0xa6uy; 0x1duy; 0x22uy; 0xc1uy; 0xb8uy; 0xe6uy; 0x61uy; 0xd7uy; 0x67uy; 0x36uy; 0x13uy; 0x7buy; 0xbbuy; 0x9buy; 0x59uy; 0x09uy; 0xa6uy; 0xdfuy; 0xf7uy; 0x6buy; 0xa3uy; 0x40uy; 0x1auy; 0xf5uy; 0x4fuy; 0xb4uy; 0xdauy; 0xd3uy; 0xf3uy; 0x81uy; 0x93uy; 0xc6uy; 0x18uy; 0xd9uy; 0x26uy; 0xeeuy; 0xacuy; 0xf0uy; 0xaauy; 0xdfuy; 0xc5uy; 0x9cuy; 0xcauy; 0xc2uy; 0xa2uy; 0xccuy; 0x7buy; 0x5cuy; 0x24uy; 0xb0uy; 0xbcuy; 0xd0uy; 0x6auy; 0x4duy; 0x89uy; 0x09uy; 0xb8uy; 0x07uy; 0xfeuy; 0x87uy; 0xaduy; 0x0auy; 0xeauy; 0xb8uy; 0x42uy; 0xf9uy; 0x5euy; 0xb3uy; 0x3euy; 0x36uy; 0x4cuy; 0xafuy; 0x75uy; 0x9euy; 0x1cuy; 0xebuy; 0xbduy; 0xbcuy; 0xbbuy; 0x80uy; 0x40uy; 0xa7uy; 0x3auy; 0x30uy; 0xbfuy; 0xa8uy; 0x44uy; 0xf4uy; 0xebuy; 0x38uy; 0xaduy; 0x29uy; 0xbauy; 0x23uy; 0xeduy; 0x41uy; 0x0cuy; 0xeauy; 0xd2uy; 0xbbuy; 0x41uy; 0x18uy; 0xd6uy; 0xb9uy; 0xbauy; 0x65uy; 0x2buy; 0xa3uy; 0x91uy; 0x6duy; 0x1fuy; 0xa9uy; 0xf4uy; 0xd1uy; 0x25uy; 0x8duy; 0x4duy; 0x38uy; 0xffuy; 0x64uy; 0xa0uy; 0xecuy; 0xdeuy; 0xa6uy; 0xb6uy; 0x79uy; 0xabuy; 0x8euy; 0x33uy; 0x6cuy; 0x47uy; 0xdeuy; 0xafuy; 0x94uy; 0xa4uy; 0xa5uy; 0x86uy; 0x77uy; 0x55uy; 0x09uy; 0x92uy; 0x81uy; 0x31uy; 0x76uy; 0xc7uy; 0x34uy; 0x22uy; 0x89uy; 0x8euy; 0x3duy; 0x26uy; 0x26uy; 0xd7uy; 0xfcuy; 0x1euy; 0x16uy; 0x72uy; 0x13uy; 0x33uy; 0x63uy; 0xd5uy; 0x22uy; 0xbeuy; 0xb8uy; 0x04uy; 0x34uy; 0x84uy; 0x41uy; 0xbbuy; 0x80uy; 0xd0uy; 0x9fuy; 0x46uy; 0x48uy; 0x07uy; 0xa7uy; 0xfcuy; 0x2buy; 0x3auy; 0x75uy; 0x55uy; 0x8cuy; 0xc7uy; 0x6auy; 0xbduy; 0x7euy; 0x46uy; 0x08uy; 0x84uy; 0x0fuy; 0xd5uy; 0x74uy; 0xc0uy; 0x82uy; 0x8euy; 0xaauy; 0x61uy; 0x05uy; 0x01uy; 0xb2uy; 0x47uy; 0x6euy; 0x20uy; 0x6auy; 0x2duy; 0x58uy; 0x70uy; 0x48uy; 0x32uy; 0xa7uy; 0x37uy; 0xd2uy; 0xb8uy; 0x82uy; 0x1auy; 0x51uy; 0xb9uy; 0x61uy; 0xdduy; 0xfduy; 0x9duy; 0x6buy; 0x0euy; 0x18uy; 0x97uy; 0xf8uy; 0x45uy; 0x5fuy; 0x87uy; 0x10uy; 0xcfuy; 0x34uy; 0x72uy; 0x45uy; 0x26uy; 0x49uy; 0x70uy; 0xe7uy; 0xa3uy; 0x78uy; 0xe0uy; 0x52uy; 0x89uy; 0x84uy; 0x94uy; 0x83uy; 0x82uy; 0xc2uy; 0x69uy; 0x8fuy; 0xe3uy; 0xe1uy; 0x3fuy; 0x60uy; 0x74uy; 0x88uy; 0xc4uy; 0xf7uy; 0x75uy; 0x2cuy; 0xfbuy; 0xbduy; 0xb6uy; 0xc4uy; 0x7euy; 0x10uy; 0x0auy; 0x6cuy; 0x90uy; 0x04uy; 0x9euy; 0xc3uy; 0x3fuy; 0x59uy; 0x7cuy; 0xceuy; 0x31uy; 0x18uy; 0x60uy; 0x57uy; 0x73uy; 0x46uy; 0x94uy; 0x7duy; 0x06uy; 0xa0uy; 0x6duy; 0x44uy; 0xecuy; 0xa2uy; 0x0auy; 0x9euy; 0x05uy; 0x15uy; 0xefuy; 0xcauy; 0x5cuy; 0xbfuy; 0x00uy; 0xebuy; 0xf7uy; 0x3duy; 0x32uy; 0xd4uy; 0xa5uy; 0xefuy; 0x49uy; 0x89uy; 0x5euy; 0x46uy; 0xb0uy; 0xa6uy; 0x63uy; 0x5buy; 0x8auy; 0x73uy; 0xaeuy; 0x6fuy; 0xd5uy; 0x9duy; 0xf8uy; 0x4fuy; 0x40uy; 0xb5uy; 0xb2uy; 0x6euy; 0xd3uy; 0xb6uy; 0x01uy; 0xa9uy; 0x26uy; 0xa2uy; 0x21uy; 0xcfuy; 0x33uy; 0x7auy; 0x3auy; 0xa4uy; 0x23uy; 0x13uy; 0xb0uy; 0x69uy; 0x6auy; 0xeeuy; 0xceuy; 0xd8uy; 0x9duy; 0x01uy; 0x1duy; 0x50uy; 0xc1uy; 0x30uy; 0x6cuy; 0xb1uy; 0xcduy; 0xa0uy; 0xf0uy; 0xf0uy; 0xa2uy; 0x64uy; 0x6fuy; 0xbbuy; 0xbfuy; 0x5euy; 0xe6uy; 0xabuy; 0x87uy; 0xb4uy; 0x0fuy; 0x4fuy; 0x15uy; 0xafuy; 0xb5uy; 0x25uy; 0xa1uy; 0xb2uy; 0xd0uy; 0x80uy; 0x2cuy; 0xfbuy; 0xf9uy; 0xfeuy; 0xd2uy; 0x33uy; 0xbbuy; 0x76uy; 0xfeuy; 0x7cuy; 0xa8uy; 0x66uy; 0xf7uy; 0xe7uy; 0x85uy; 0x9fuy; 0x1fuy; 0x85uy; 0x57uy; 0x88uy; 0xe1uy; 0xe9uy; 0x63uy; 0xe4uy; 0xd8uy; 0x1cuy; 0xa1uy; 0xfbuy; 0xdauy; 0x44uy; 0x05uy; 0x2euy; 0x1duy; 0x3auy; 0x1cuy; 0xffuy; 0xc8uy; 0x3buy; 0xc0uy; 0xfeuy; 0xdauy; 0x22uy; 0x0buy; 0x43uy; 0xd6uy; 0x88uy; 0x39uy; 0x4cuy; 0x4auy; 0xa6uy; 0x69uy; 0x18uy; 0x93uy; 0x42uy; 0x4euy; 0xb5uy; 0xccuy; 0x66uy; 0x0duy; 0x09uy; 0xf8uy; 0x1euy; 0x7cuy; 0xd3uy; 0x3cuy; 0x99uy; 0x0duy; 0x50uy; 0x1duy; 0x62uy; 0xe9uy; 0x57uy; 0x06uy; 0xbfuy; 0x19uy; 0x88uy; 0xdduy; 0xaduy; 0x7buy; 0x4fuy; 0xf9uy; 0xc7uy; 0x82uy; 0x6duy; 0x8duy; 0xc8uy; 0xc4uy; 0xc5uy; 0x78uy; 0x17uy; 0x20uy; 0x15uy; 0xc5uy; 0x52uy; 0x41uy; 0xcfuy; 0x5buy; 0xd6uy; 0x7fuy; 0x94uy; 0x02uy; 0x41uy; 0xe0uy; 0x40uy; 0x22uy; 0x03uy; 0x5euy; 0xd1uy; 0x53uy; 0xd4uy; 0x86uy; 0xd3uy; 0x2cuy; 0x9fuy; 0x0fuy; 0x96uy; 0xe3uy; 0x6buy; 0x9auy; 0x76uy; 0x32uy; 0x06uy; 0x47uy; 0x4buy; 0x11uy; 0xb3uy; 0xdduy; 0x03uy; 0x65uy; 0xbduy; 0x9buy; 0x01uy; 0xdauy; 0x9cuy; 0xb9uy; 0x7euy; 0x3fuy; 0x6auy; 0xc4uy; 0x7buy; 0xeauy; 0xd4uy; 0x3cuy; 0xb9uy; 0xfbuy; 0x5cuy; 0x6buy; 0x64uy; 0x33uy; 0x52uy; 0xbauy; 0x64uy; 0x78uy; 0x8fuy; 0xa4uy; 0xafuy; 0x7auy; 0x61uy; 0x8duy; 0xbcuy; 0xc5uy; 0x73uy; 0xe9uy; 0x6buy; 0x58uy; 0x97uy; 0x4buy; 0xbfuy; 0x63uy; 0x22uy; 0xd3uy; 0x37uy; 0x02uy; 0x54uy; 0xc5uy; 0xb9uy; 0x16uy; 0x4auy; 0xf0uy; 0x19uy; 0xd8uy; 0x94uy; 0x57uy; 0xb8uy; 0x8auy; 0xb3uy; 0x16uy; 0x3buy; 0xd0uy; 0x84uy; 0x8euy; 0x67uy; 0xa6uy; 0xa3uy; 0x7duy; 0x78uy; 0xecuy; 0x00uy; ] in assert_norm (List.Tot.length l = 2011); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input11_len: (x:UInt32.t { UInt32.v x = B.length input11 }) = 2011ul let output11: (b: B.buffer UInt8.t { B.length b = 2027 /\ B.recallable b }) = [@inline_let] let l = [ 0x52uy; 0x34uy; 0xb3uy; 0x65uy; 0x3buy; 0xb7uy; 0xe5uy; 0xd3uy; 0xabuy; 0x49uy; 0x17uy; 0x60uy; 0xd2uy; 0x52uy; 0x56uy; 0xdfuy; 0xdfuy; 0x34uy; 0x56uy; 0x82uy; 0xe2uy; 0xbeuy; 0xe5uy; 0xe1uy; 0x28uy; 0xd1uy; 0x4euy; 0x5fuy; 0x4fuy; 0x01uy; 0x7duy; 0x3fuy; 0x99uy; 0x6buy; 0x30uy; 0x6euy; 0x1auy; 0x7cuy; 0x4cuy; 0x8euy; 0x62uy; 0x81uy; 0xaeuy; 0x86uy; 0x3fuy; 0x6buy; 0xd0uy; 0xb5uy; 0xa9uy; 0xcfuy; 0x50uy; 0xf1uy; 0x02uy; 0x12uy; 0xa0uy; 0x0buy; 0x24uy; 0xe9uy; 0xe6uy; 0x72uy; 0x89uy; 0x2cuy; 0x52uy; 0x1buy; 0x34uy; 0x38uy; 0xf8uy; 0x75uy; 0x5fuy; 0xa0uy; 0x74uy; 0xe2uy; 0x99uy; 0xdduy; 0xa6uy; 0x4buy; 0x14uy; 0x50uy; 0x4euy; 0xf1uy; 0xbeuy; 0xd6uy; 0x9euy; 0xdbuy; 0xb2uy; 0x24uy; 0x27uy; 0x74uy; 0x12uy; 0x4auy; 0x78uy; 0x78uy; 0x17uy; 0xa5uy; 0x58uy; 0x8euy; 0x2fuy; 0xf9uy; 0xf4uy; 0x8duy; 0xeeuy; 0x03uy; 0x88uy; 0xaeuy; 0xb8uy; 0x29uy; 0xa1uy; 0x2fuy; 0x4buy; 0xeeuy; 0x92uy; 0xbduy; 0x87uy; 0xb3uy; 0xceuy; 0x34uy; 0x21uy; 0x57uy; 0x46uy; 0x04uy; 0x49uy; 0x0cuy; 0x80uy; 0xf2uy; 0x01uy; 0x13uy; 0xa1uy; 0x55uy; 0xb3uy; 0xffuy; 0x44uy; 0x30uy; 0x3cuy; 0x1cuy; 0xd0uy; 0xefuy; 0xbcuy; 0x18uy; 0x74uy; 0x26uy; 0xaduy; 0x41uy; 0x5buy; 0x5buy; 0x3euy; 0x9auy; 0x7auy; 0x46uy; 0x4fuy; 0x16uy; 0xd6uy; 0x74uy; 0x5auy; 0xb7uy; 0x3auy; 0x28uy; 0x31uy; 0xd8uy; 0xaeuy; 0x26uy; 0xacuy; 0x50uy; 0x53uy; 0x86uy; 0xf2uy; 0x56uy; 0xd7uy; 0x3fuy; 0x29uy; 0xbcuy; 0x45uy; 0x68uy; 0x8euy; 0xcbuy; 0x98uy; 0x64uy; 0xdduy; 0xc9uy; 0xbauy; 0xb8uy; 0x4buy; 0x7buy; 0x82uy; 0xdduy; 0x14uy; 0xa7uy; 0xcbuy; 0x71uy; 0x72uy; 0x00uy; 0x5cuy; 0xaduy; 0x7buy; 0x6auy; 0x89uy; 0xa4uy; 0x3duy; 0xbfuy; 0xb5uy; 0x4buy; 0x3euy; 0x7cuy; 0x5auy; 0xcfuy; 0xb8uy; 0xa1uy; 0xc5uy; 0x6euy; 0xc8uy; 0xb6uy; 0x31uy; 0x57uy; 0x7buy; 0xdfuy; 0xa5uy; 0x7euy; 0xb1uy; 0xd6uy; 0x42uy; 0x2auy; 0x31uy; 0x36uy; 0xd1uy; 0xd0uy; 0x3fuy; 0x7auy; 0xe5uy; 0x94uy; 0xd6uy; 0x36uy; 0xa0uy; 0x6fuy; 0xb7uy; 0x40uy; 0x7duy; 0x37uy; 0xc6uy; 0x55uy; 0x7cuy; 0x50uy; 0x40uy; 0x6duy; 0x29uy; 0x89uy; 0xe3uy; 0x5auy; 0xaeuy; 0x97uy; 0xe7uy; 0x44uy; 0x49uy; 0x6euy; 0xbduy; 0x81uy; 0x3duy; 0x03uy; 0x93uy; 0x06uy; 0x12uy; 0x06uy; 0xe2uy; 0x41uy; 0x12uy; 0x4auy; 0xf1uy; 0x6auy; 0xa4uy; 0x58uy; 0xa2uy; 0xfbuy; 0xd2uy; 0x15uy; 0xbauy; 0xc9uy; 0x79uy; 0xc9uy; 0xceuy; 0x5euy; 0x13uy; 0xbbuy; 0xf1uy; 0x09uy; 0x04uy; 0xccuy; 0xfduy; 0xe8uy; 0x51uy; 0x34uy; 0x6auy; 0xe8uy; 0x61uy; 0x88uy; 0xdauy; 0xeduy; 0x01uy; 0x47uy; 0x84uy; 0xf5uy; 0x73uy; 0x25uy; 0xf9uy; 0x1cuy; 0x42uy; 0x86uy; 0x07uy; 0xf3uy; 0x5buy; 0x1auy; 0x01uy; 0xb3uy; 0xebuy; 0x24uy; 0x32uy; 0x8duy; 0xf6uy; 0xeduy; 0x7cuy; 0x4buy; 0xebuy; 0x3cuy; 0x36uy; 0x42uy; 0x28uy; 0xdfuy; 0xdfuy; 0xb6uy; 0xbeuy; 0xd9uy; 0x8cuy; 0x52uy; 0xd3uy; 0x2buy; 0x08uy; 0x90uy; 0x8cuy; 0xe7uy; 0x98uy; 0x31uy; 0xe2uy; 0x32uy; 0x8euy; 0xfcuy; 0x11uy; 0x48uy; 0x00uy; 0xa8uy; 0x6auy; 0x42uy; 0x4auy; 0x02uy; 0xc6uy; 0x4buy; 0x09uy; 0xf1uy; 0xe3uy; 0x49uy; 0xf3uy; 0x45uy; 0x1fuy; 0x0euy; 0xbcuy; 0x56uy; 0xe2uy; 0xe4uy; 0xdfuy; 0xfbuy; 0xebuy; 0x61uy; 0xfauy; 0x24uy; 0xc1uy; 0x63uy; 0x75uy; 0xbbuy; 0x47uy; 0x75uy; 0xafuy; 0xe1uy; 0x53uy; 0x16uy; 0x96uy; 0x21uy; 0x85uy; 0x26uy; 0x11uy; 0xb3uy; 0x76uy; 0xe3uy; 0x23uy; 0xa1uy; 0x6buy; 0x74uy; 0x37uy; 0xd0uy; 0xdeuy; 0x06uy; 0x90uy; 0x71uy; 0x5duy; 0x43uy; 0x88uy; 0x9buy; 0x00uy; 0x54uy; 0xa6uy; 0x75uy; 0x2fuy; 0xa1uy; 0xc2uy; 0x0buy; 0x73uy; 0x20uy; 0x1duy; 0xb6uy; 0x21uy; 0x79uy; 0x57uy; 0x3fuy; 0xfauy; 0x09uy; 0xbeuy; 0x8auy; 0x33uy; 0xc3uy; 0x52uy; 0xf0uy; 0x1duy; 0x82uy; 0x31uy; 0xd1uy; 0x55uy; 0xb5uy; 0x6cuy; 0x99uy; 0x25uy; 0xcfuy; 0x5cuy; 0x32uy; 0xceuy; 0xe9uy; 0x0duy; 0xfauy; 0x69uy; 0x2cuy; 0xd5uy; 0x0duy; 0xc5uy; 0x6duy; 0x86uy; 0xd0uy; 0x0cuy; 0x3buy; 0x06uy; 0x50uy; 0x79uy; 0xe8uy; 0xc3uy; 0xaeuy; 0x04uy; 0xe6uy; 0xcduy; 0x51uy; 0xe4uy; 0x26uy; 0x9buy; 0x4fuy; 0x7euy; 0xa6uy; 0x0fuy; 0xabuy; 0xd8uy; 0xe5uy; 0xdeuy; 0xa9uy; 0x00uy; 0x95uy; 0xbeuy; 0xa3uy; 0x9duy; 0x5duy; 0xb2uy; 0x09uy; 0x70uy; 0x18uy; 0x1cuy; 0xf0uy; 0xacuy; 0x29uy; 0x23uy; 0x02uy; 0x29uy; 0x28uy; 0xd2uy; 0x74uy; 0x35uy; 0x57uy; 0x62uy; 0x0fuy; 0x24uy; 0xeauy; 0x5euy; 0x33uy; 0xc2uy; 0x92uy; 0xf3uy; 0x78uy; 0x4duy; 0x30uy; 0x1euy; 0xa1uy; 0x99uy; 0xa9uy; 0x82uy; 0xb0uy; 0x42uy; 0x31uy; 0x8duy; 0xaduy; 0x8auy; 0xbcuy; 0xfcuy; 0xd4uy; 0x57uy; 0x47uy; 0x3euy; 0xb4uy; 0x50uy; 0xdduy; 0x6euy; 0x2cuy; 0x80uy; 0x4duy; 0x22uy; 0xf1uy; 0xfbuy; 0x57uy; 0xc4uy; 0xdduy; 0x17uy; 0xe1uy; 0x8auy; 0x36uy; 0x4auy; 0xb3uy; 0x37uy; 0xcauy; 0xc9uy; 0x4euy; 0xabuy; 0xd5uy; 0x69uy; 0xc4uy; 0xf4uy; 0xbcuy; 0x0buy; 0x3buy; 0x44uy; 0x4buy; 0x29uy; 0x9cuy; 0xeeuy; 0xd4uy; 0x35uy; 0x22uy; 0x21uy; 0xb0uy; 0x1fuy; 0x27uy; 0x64uy; 0xa8uy; 0x51uy; 0x1buy; 0xf0uy; 0x9fuy; 0x19uy; 0x5cuy; 0xfbuy; 0x5auy; 0x64uy; 0x74uy; 0x70uy; 0x45uy; 0x09uy; 0xf5uy; 0x64uy; 0xfeuy; 0x1auy; 0x2duy; 0xc9uy; 0x14uy; 0x04uy; 0x14uy; 0xcfuy; 0xd5uy; 0x7duy; 0x60uy; 0xafuy; 0x94uy; 0x39uy; 0x94uy; 0xe2uy; 0x7duy; 0x79uy; 0x82uy; 0xd0uy; 0x65uy; 0x3buy; 0x6buy; 0x9cuy; 0x19uy; 0x84uy; 0xb4uy; 0x6duy; 0xb3uy; 0x0cuy; 0x99uy; 0xc0uy; 0x56uy; 0xa8uy; 0xbduy; 0x73uy; 0xceuy; 0x05uy; 0x84uy; 0x3euy; 0x30uy; 0xaauy; 0xc4uy; 0x9buy; 0x1buy; 0x04uy; 0x2auy; 0x9fuy; 0xd7uy; 0x43uy; 0x2buy; 0x23uy; 0xdfuy; 0xbfuy; 0xaauy; 0xd5uy; 0xc2uy; 0x43uy; 0x2duy; 0x70uy; 0xabuy; 0xdcuy; 0x75uy; 0xaduy; 0xacuy; 0xf7uy; 0xc0uy; 0xbeuy; 0x67uy; 0xb2uy; 0x74uy; 0xeduy; 0x67uy; 0x10uy; 0x4auy; 0x92uy; 0x60uy; 0xc1uy; 0x40uy; 0x50uy; 0x19uy; 0x8auy; 0x8auy; 0x8cuy; 0x09uy; 0x0euy; 0x72uy; 0xe1uy; 0x73uy; 0x5euy; 0xe8uy; 0x41uy; 0x85uy; 0x63uy; 0x9fuy; 0x3fuy; 0xd7uy; 0x7duy; 0xc4uy; 0xfbuy; 0x22uy; 0x5duy; 0x92uy; 0x6cuy; 0xb3uy; 0x1euy; 0xe2uy; 0x50uy; 0x2fuy; 0x82uy; 0xa8uy; 0x28uy; 0xc0uy; 0xb5uy; 0xd7uy; 0x5fuy; 0x68uy; 0x0duy; 0x2cuy; 0x2duy; 0xafuy; 0x7euy; 0xfauy; 0x2euy; 0x08uy; 0x0fuy; 0x1fuy; 0x70uy; 0x9fuy; 0xe9uy; 0x19uy; 0x72uy; 0x55uy; 0xf8uy; 0xfbuy; 0x51uy; 0xd2uy; 0x33uy; 0x5duy; 0xa0uy; 0xd3uy; 0x2buy; 0x0auy; 0x6cuy; 0xbcuy; 0x4euy; 0xcfuy; 0x36uy; 0x4duy; 0xdcuy; 0x3buy; 0xe9uy; 0x3euy; 0x81uy; 0x7cuy; 0x61uy; 0xdbuy; 0x20uy; 0x2duy; 0x3auy; 0xc3uy; 0xb3uy; 0x0cuy; 0x1euy; 0x00uy; 0xb9uy; 0x7cuy; 0xf5uy; 0xcauy; 0x10uy; 0x5fuy; 0x3auy; 0x71uy; 0xb3uy; 0xe4uy; 0x20uy; 0xdbuy; 0x0cuy; 0x2auy; 0x98uy; 0x63uy; 0x45uy; 0x00uy; 0x58uy; 0xf6uy; 0x68uy; 0xe4uy; 0x0buy; 0xdauy; 0x13uy; 0x3buy; 0x60uy; 0x5cuy; 0x76uy; 0xdbuy; 0xb9uy; 0x97uy; 0x71uy; 0xe4uy; 0xd9uy; 0xb7uy; 0xdbuy; 0xbduy; 0x68uy; 0xc7uy; 0x84uy; 0x84uy; 0xaauy; 0x7cuy; 0x68uy; 0x62uy; 0x5euy; 0x16uy; 0xfcuy; 0xbauy; 0x72uy; 0xaauy; 0x9auy; 0xa9uy; 0xebuy; 0x7cuy; 0x75uy; 0x47uy; 0x97uy; 0x7euy; 0xaduy; 0xe2uy; 0xd9uy; 0x91uy; 0xe8uy; 0xe4uy; 0xa5uy; 0x31uy; 0xd7uy; 0x01uy; 0x8euy; 0xa2uy; 0x11uy; 0x88uy; 0x95uy; 0xb9uy; 0xf2uy; 0x9buy; 0xd3uy; 0x7fuy; 0x1buy; 0x81uy; 0x22uy; 0xf7uy; 0x98uy; 0x60uy; 0x0auy; 0x64uy; 0xa6uy; 0xc1uy; 0xf6uy; 0x49uy; 0xc7uy; 0xe3uy; 0x07uy; 0x4duy; 0x94uy; 0x7auy; 0xcfuy; 0x6euy; 0x68uy; 0x0cuy; 0x1buy; 0x3fuy; 0x6euy; 0x2euy; 0xeeuy; 0x92uy; 0xfauy; 0x52uy; 0xb3uy; 0x59uy; 0xf8uy; 0xf1uy; 0x8fuy; 0x6auy; 0x66uy; 0xa3uy; 0x82uy; 0x76uy; 0x4auy; 0x07uy; 0x1auy; 0xc7uy; 0xdduy; 0xf5uy; 0xdauy; 0x9cuy; 0x3cuy; 0x24uy; 0xbfuy; 0xfduy; 0x42uy; 0xa1uy; 0x10uy; 0x64uy; 0x6auy; 0x0fuy; 0x89uy; 0xeeuy; 0x36uy; 0xa5uy; 0xceuy; 0x99uy; 0x48uy; 0x6auy; 0xf0uy; 0x9fuy; 0x9euy; 0x69uy; 0xa4uy; 0x40uy; 0x20uy; 0xe9uy; 0x16uy; 0x15uy; 0xf7uy; 0xdbuy; 0x75uy; 0x02uy; 0xcbuy; 0xe9uy; 0x73uy; 0x8buy; 0x3buy; 0x49uy; 0x2fuy; 0xf0uy; 0xafuy; 0x51uy; 0x06uy; 0x5cuy; 0xdfuy; 0x27uy; 0x27uy; 0x49uy; 0x6auy; 0xd1uy; 0xccuy; 0xc7uy; 0xb5uy; 0x63uy; 0xb5uy; 0xfcuy; 0xb8uy; 0x5cuy; 0x87uy; 0x7fuy; 0x84uy; 0xb4uy; 0xccuy; 0x14uy; 0xa9uy; 0x53uy; 0xdauy; 0xa4uy; 0x56uy; 0xf8uy; 0xb6uy; 0x1buy; 0xccuy; 0x40uy; 0x27uy; 0x52uy; 0x06uy; 0x5auy; 0x13uy; 0x81uy; 0xd7uy; 0x3auy; 0xd4uy; 0x3buy; 0xfbuy; 0x49uy; 0x65uy; 0x31uy; 0x33uy; 0xb2uy; 0xfauy; 0xcduy; 0xaduy; 0x58uy; 0x4euy; 0x2buy; 0xaeuy; 0xd2uy; 0x20uy; 0xfbuy; 0x1auy; 0x48uy; 0xb4uy; 0x3fuy; 0x9auy; 0xd8uy; 0x7auy; 0x35uy; 0x4auy; 0xc8uy; 0xeeuy; 0x88uy; 0x5euy; 0x07uy; 0x66uy; 0x54uy; 0xb9uy; 0xecuy; 0x9fuy; 0xa3uy; 0xe3uy; 0xb9uy; 0x37uy; 0xaauy; 0x49uy; 0x76uy; 0x31uy; 0xdauy; 0x74uy; 0x2duy; 0x3cuy; 0xa4uy; 0x65uy; 0x10uy; 0x32uy; 0x38uy; 0xf0uy; 0xdeuy; 0xd3uy; 0x99uy; 0x17uy; 0xaauy; 0x71uy; 0xaauy; 0x8fuy; 0x0fuy; 0x8cuy; 0xafuy; 0xa2uy; 0xf8uy; 0x5duy; 0x64uy; 0xbauy; 0x1duy; 0xa3uy; 0xefuy; 0x96uy; 0x73uy; 0xe8uy; 0xa1uy; 0x02uy; 0x8duy; 0x0cuy; 0x6duy; 0xb8uy; 0x06uy; 0x90uy; 0xb8uy; 0x08uy; 0x56uy; 0x2cuy; 0xa7uy; 0x06uy; 0xc9uy; 0xc2uy; 0x38uy; 0xdbuy; 0x7cuy; 0x63uy; 0xb1uy; 0x57uy; 0x8euy; 0xeauy; 0x7cuy; 0x79uy; 0xf3uy; 0x49uy; 0x1duy; 0xfeuy; 0x9fuy; 0xf3uy; 0x6euy; 0xb1uy; 0x1duy; 0xbauy; 0x19uy; 0x80uy; 0x1auy; 0x0auy; 0xd3uy; 0xb0uy; 0x26uy; 0x21uy; 0x40uy; 0xb1uy; 0x7cuy; 0xf9uy; 0x4duy; 0x8duy; 0x10uy; 0xc1uy; 0x7euy; 0xf4uy; 0xf6uy; 0x3cuy; 0xa8uy; 0xfduy; 0x7cuy; 0xa3uy; 0x92uy; 0xb2uy; 0x0fuy; 0xaauy; 0xccuy; 0xa6uy; 0x11uy; 0xfeuy; 0x04uy; 0xe3uy; 0xd1uy; 0x7auy; 0x32uy; 0x89uy; 0xdfuy; 0x0duy; 0xc4uy; 0x8fuy; 0x79uy; 0x6buy; 0xcauy; 0x16uy; 0x7cuy; 0x6euy; 0xf9uy; 0xaduy; 0x0fuy; 0xf6uy; 0xfeuy; 0x27uy; 0xdbuy; 0xc4uy; 0x13uy; 0x70uy; 0xf1uy; 0x62uy; 0x1auy; 0x4fuy; 0x79uy; 0x40uy; 0xc9uy; 0x9buy; 0x8buy; 0x21uy; 0xeauy; 0x84uy; 0xfauy; 0xf5uy; 0xf1uy; 0x89uy; 0xceuy; 0xb7uy; 0x55uy; 0x0auy; 0x80uy; 0x39uy; 0x2fuy; 0x55uy; 0x36uy; 0x16uy; 0x9cuy; 0x7buy; 0x08uy; 0xbduy; 0x87uy; 0x0duy; 0xa5uy; 0x32uy; 0xf1uy; 0x52uy; 0x7cuy; 0xe8uy; 0x55uy; 0x60uy; 0x5buy; 0xd7uy; 0x69uy; 0xe4uy; 0xfcuy; 0xfauy; 0x12uy; 0x85uy; 0x96uy; 0xeauy; 0x50uy; 0x28uy; 0xabuy; 0x8auy; 0xf7uy; 0xbbuy; 0x0euy; 0x53uy; 0x74uy; 0xcauy; 0xa6uy; 0x27uy; 0x09uy; 0xc2uy; 0xb5uy; 0xdeuy; 0x18uy; 0x14uy; 0xd9uy; 0xeauy; 0xe5uy; 0x29uy; 0x1cuy; 0x40uy; 0x56uy; 0xcfuy; 0xd7uy; 0xaeuy; 0x05uy; 0x3fuy; 0x65uy; 0xafuy; 0x05uy; 0x73uy; 0xe2uy; 0x35uy; 0x96uy; 0x27uy; 0x07uy; 0x14uy; 0xc0uy; 0xaduy; 0x33uy; 0xf1uy; 0xdcuy; 0x44uy; 0x7auy; 0x89uy; 0x17uy; 0x77uy; 0xd2uy; 0x9cuy; 0x58uy; 0x60uy; 0xf0uy; 0x3fuy; 0x7buy; 0x2duy; 0x2euy; 0x57uy; 0x95uy; 0x54uy; 0x87uy; 0xeduy; 0xf2uy; 0xc7uy; 0x4cuy; 0xf0uy; 0xaeuy; 0x56uy; 0x29uy; 0x19uy; 0x7duy; 0x66uy; 0x4buy; 0x9buy; 0x83uy; 0x84uy; 0x42uy; 0x3buy; 0x01uy; 0x25uy; 0x66uy; 0x8euy; 0x02uy; 0xdeuy; 0xb9uy; 0x83uy; 0x54uy; 0x19uy; 0xf6uy; 0x9fuy; 0x79uy; 0x0duy; 0x67uy; 0xc5uy; 0x1duy; 0x7auy; 0x44uy; 0x02uy; 0x98uy; 0xa7uy; 0x16uy; 0x1cuy; 0x29uy; 0x0duy; 0x74uy; 0xffuy; 0x85uy; 0x40uy; 0x06uy; 0xefuy; 0x2cuy; 0xa9uy; 0xc6uy; 0xf5uy; 0x53uy; 0x07uy; 0x06uy; 0xaeuy; 0xe4uy; 0xfauy; 0x5fuy; 0xd8uy; 0x39uy; 0x4duy; 0xf1uy; 0x9buy; 0x6buy; 0xd9uy; 0x24uy; 0x84uy; 0xfeuy; 0x03uy; 0x4cuy; 0xb2uy; 0x3fuy; 0xdfuy; 0xa1uy; 0x05uy; 0x9euy; 0x50uy; 0x14uy; 0x5auy; 0xd9uy; 0x1auy; 0xa2uy; 0xa7uy; 0xfauy; 0xfauy; 0x17uy; 0xf7uy; 0x78uy; 0xd6uy; 0xb5uy; 0x92uy; 0x61uy; 0x91uy; 0xacuy; 0x36uy; 0xfauy; 0x56uy; 0x0duy; 0x38uy; 0x32uy; 0x18uy; 0x85uy; 0x08uy; 0x58uy; 0x37uy; 0xf0uy; 0x4buy; 0xdbuy; 0x59uy; 0xe7uy; 0xa4uy; 0x34uy; 0xc0uy; 0x1buy; 0x01uy; 0xafuy; 0x2duy; 0xdeuy; 0xa1uy; 0xaauy; 0x5duy; 0xd3uy; 0xecuy; 0xe1uy; 0xd4uy; 0xf7uy; 0xe6uy; 0x54uy; 0x68uy; 0xf0uy; 0x51uy; 0x97uy; 0xa7uy; 0x89uy; 0xeauy; 0x24uy; 0xaduy; 0xd3uy; 0x6euy; 0x47uy; 0x93uy; 0x8buy; 0x4buy; 0xb4uy; 0xf7uy; 0x1cuy; 0x42uy; 0x06uy; 0x67uy; 0xe8uy; 0x99uy; 0xf6uy; 0xf5uy; 0x7buy; 0x85uy; 0xb5uy; 0x65uy; 0xb5uy; 0xb5uy; 0xd2uy; 0x37uy; 0xf5uy; 0xf3uy; 0x02uy; 0xa6uy; 0x4duy; 0x11uy; 0xa7uy; 0xdcuy; 0x51uy; 0x09uy; 0x7fuy; 0xa0uy; 0xd8uy; 0x88uy; 0x1cuy; 0x13uy; 0x71uy; 0xaeuy; 0x9cuy; 0xb7uy; 0x7buy; 0x34uy; 0xd6uy; 0x4euy; 0x68uy; 0x26uy; 0x83uy; 0x51uy; 0xafuy; 0x1duy; 0xeeuy; 0x8buy; 0xbbuy; 0x69uy; 0x43uy; 0x2buy; 0x9euy; 0x8auy; 0xbcuy; 0x02uy; 0x0euy; 0xa0uy; 0x1buy; 0xe0uy; 0xa8uy; 0x5fuy; 0x6fuy; 0xafuy; 0x1buy; 0x8fuy; 0xe7uy; 0x64uy; 0x71uy; 0x74uy; 0x11uy; 0x7euy; 0xa8uy; 0xd8uy; 0xf9uy; 0x97uy; 0x06uy; 0xc3uy; 0xb6uy; 0xfbuy; 0xfbuy; 0xb7uy; 0x3duy; 0x35uy; 0x9duy; 0x3buy; 0x52uy; 0xeduy; 0x54uy; 0xcauy; 0xf4uy; 0x81uy; 0x01uy; 0x2duy; 0x1buy; 0xc3uy; 0xa7uy; 0x00uy; 0x3duy; 0x1auy; 0x39uy; 0x54uy; 0xe1uy; 0xf6uy; 0xffuy; 0xeduy; 0x6fuy; 0x0buy; 0x5auy; 0x68uy; 0xdauy; 0x58uy; 0xdduy; 0xa9uy; 0xcfuy; 0x5cuy; 0x4auy; 0xe5uy; 0x09uy; 0x4euy; 0xdeuy; 0x9duy; 0xbcuy; 0x3euy; 0xeeuy; 0x5auy; 0x00uy; 0x3buy; 0x2cuy; 0x87uy; 0x10uy; 0x65uy; 0x60uy; 0xdduy; 0xd7uy; 0x56uy; 0xd1uy; 0x4cuy; 0x64uy; 0x45uy; 0xe4uy; 0x21uy; 0xecuy; 0x78uy; 0xf8uy; 0x25uy; 0x7auy; 0x3euy; 0x16uy; 0x5duy; 0x09uy; 0x53uy; 0x14uy; 0xbeuy; 0x4fuy; 0xaeuy; 0x87uy; 0xd8uy; 0xd1uy; 0xaauy; 0x3cuy; 0xf6uy; 0x3euy; 0xa4uy; 0x70uy; 0x8cuy; 0x5euy; 0x70uy; 0xa4uy; 0xb3uy; 0x6buy; 0x66uy; 0x73uy; 0xd3uy; 0xbfuy; 0x31uy; 0x06uy; 0x19uy; 0x62uy; 0x93uy; 0x15uy; 0xf2uy; 0x86uy; 0xe4uy; 0x52uy; 0x7euy; 0x53uy; 0x4cuy; 0x12uy; 0x38uy; 0xccuy; 0x34uy; 0x7duy; 0x57uy; 0xf6uy; 0x42uy; 0x93uy; 0x8auy; 0xc4uy; 0xeeuy; 0x5cuy; 0x8auy; 0xe1uy; 0x52uy; 0x8fuy; 0x56uy; 0x64uy; 0xf6uy; 0xa6uy; 0xd1uy; 0x91uy; 0x57uy; 0x70uy; 0xcduy; 0x11uy; 0x76uy; 0xf5uy; 0x59uy; 0x60uy; 0x60uy; 0x3cuy; 0xc1uy; 0xc3uy; 0x0buy; 0x7fuy; 0x58uy; 0x1auy; 0x50uy; 0x91uy; 0xf1uy; 0x68uy; 0x8fuy; 0x6euy; 0x74uy; 0x74uy; 0xa8uy; 0x51uy; 0x0buy; 0xf7uy; 0x7auy; 0x98uy; 0x37uy; 0xf2uy; 0x0auy; 0x0euy; 0xa4uy; 0x97uy; 0x04uy; 0xb8uy; 0x9buy; 0xfduy; 0xa0uy; 0xeauy; 0xf7uy; 0x0duy; 0xe1uy; 0xdbuy; 0x03uy; 0xf0uy; 0x31uy; 0x29uy; 0xf8uy; 0xdduy; 0x6buy; 0x8buy; 0x5duy; 0xd8uy; 0x59uy; 0xa9uy; 0x29uy; 0xcfuy; 0x9auy; 0x79uy; 0x89uy; 0x19uy; 0x63uy; 0x46uy; 0x09uy; 0x79uy; 0x6auy; 0x11uy; 0xdauy; 0x63uy; 0x68uy; 0x48uy; 0x77uy; 0x23uy; 0xfbuy; 0x7duy; 0x3auy; 0x43uy; 0xcbuy; 0x02uy; 0x3buy; 0x7auy; 0x6duy; 0x10uy; 0x2auy; 0x9euy; 0xacuy; 0xf1uy; 0xd4uy; 0x19uy; 0xf8uy; 0x23uy; 0x64uy; 0x1duy; 0x2cuy; 0x5fuy; 0xf2uy; 0xb0uy; 0x5cuy; 0x23uy; 0x27uy; 0xf7uy; 0x27uy; 0x30uy; 0x16uy; 0x37uy; 0xb1uy; 0x90uy; 0xabuy; 0x38uy; 0xfbuy; 0x55uy; 0xcduy; 0x78uy; 0x58uy; 0xd4uy; 0x7duy; 0x43uy; 0xf6uy; 0x45uy; 0x5euy; 0x55uy; 0x8duy; 0xb1uy; 0x02uy; 0x65uy; 0x58uy; 0xb4uy; 0x13uy; 0x4buy; 0x36uy; 0xf7uy; 0xccuy; 0xfeuy; 0x3duy; 0x0buy; 0x82uy; 0xe2uy; 0x12uy; 0x11uy; 0xbbuy; 0xe6uy; 0xb8uy; 0x3auy; 0x48uy; 0x71uy; 0xc7uy; 0x50uy; 0x06uy; 0x16uy; 0x3auy; 0xe6uy; 0x7cuy; 0x05uy; 0xc7uy; 0xc8uy; 0x4duy; 0x2fuy; 0x08uy; 0x6auy; 0x17uy; 0x9auy; 0x95uy; 0x97uy; 0x50uy; 0x68uy; 0xdcuy; 0x28uy; 0x18uy; 0xc4uy; 0x61uy; 0x38uy; 0xb9uy; 0xe0uy; 0x3euy; 0x78uy; 0xdbuy; 0x29uy; 0xe0uy; 0x9fuy; 0x52uy; 0xdduy; 0xf8uy; 0x4fuy; 0x91uy; 0xc1uy; 0xd0uy; 0x33uy; 0xa1uy; 0x7auy; 0x8euy; 0x30uy; 0x13uy; 0x82uy; 0x07uy; 0x9fuy; 0xd3uy; 0x31uy; 0x0fuy; 0x23uy; 0xbeuy; 0x32uy; 0x5auy; 0x75uy; 0xcfuy; 0x96uy; 0xb2uy; 0xecuy; 0xb5uy; 0x32uy; 0xacuy; 0x21uy; 0xd1uy; 0x82uy; 0x33uy; 0xd3uy; 0x15uy; 0x74uy; 0xbduy; 0x90uy; 0xf1uy; 0x2cuy; 0xe6uy; 0x5fuy; 0x8duy; 0xe3uy; 0x02uy; 0xe8uy; 0xe9uy; 0xc4uy; 0xcauy; 0x96uy; 0xebuy; 0x0euy; 0xbcuy; 0x91uy; 0xf4uy; 0xb9uy; 0xeauy; 0xd9uy; 0x1buy; 0x75uy; 0xbduy; 0xe1uy; 0xacuy; 0x2auy; 0x05uy; 0x37uy; 0x52uy; 0x9buy; 0x1buy; 0x3fuy; 0x5auy; 0xdcuy; 0x21uy; 0xc3uy; 0x98uy; 0xbbuy; 0xafuy; 0xa3uy; 0xf2uy; 0x00uy; 0xbfuy; 0x0duy; 0x30uy; 0x89uy; 0x05uy; 0xccuy; 0xa5uy; 0x76uy; 0xf5uy; 0x06uy; 0xf0uy; 0xc6uy; 0x54uy; 0x8auy; 0x5duy; 0xd4uy; 0x1euy; 0xc1uy; 0xf2uy; 0xceuy; 0xb0uy; 0x62uy; 0xc8uy; 0xfcuy; 0x59uy; 0x42uy; 0x9auy; 0x90uy; 0x60uy; 0x55uy; 0xfeuy; 0x88uy; 0xa5uy; 0x8buy; 0xb8uy; 0x33uy; 0x0cuy; 0x23uy; 0x24uy; 0x0duy; 0x15uy; 0x70uy; 0x37uy; 0x1euy; 0x3duy; 0xf6uy; 0xd2uy; 0xeauy; 0x92uy; 0x10uy; 0xb2uy; 0xc4uy; 0x51uy; 0xacuy; 0xf2uy; 0xacuy; 0xf3uy; 0x6buy; 0x6cuy; 0xaauy; 0xcfuy; 0x12uy; 0xc5uy; 0x6cuy; 0x90uy; 0x50uy; 0xb5uy; 0x0cuy; 0xfcuy; 0x1auy; 0x15uy; 0x52uy; 0xe9uy; 0x26uy; 0xc6uy; 0x52uy; 0xa4uy; 0xe7uy; 0x81uy; 0x69uy; 0xe1uy; 0xe7uy; 0x9euy; 0x30uy; 0x01uy; 0xecuy; 0x84uy; 0x89uy; 0xb2uy; 0x0duy; 0x66uy; 0xdduy; 0xceuy; 0x28uy; 0x5cuy; 0xecuy; 0x98uy; 0x46uy; 0x68uy; 0x21uy; 0x9fuy; 0x88uy; 0x3fuy; 0x1fuy; 0x42uy; 0x77uy; 0xceuy; 0xd0uy; 0x61uy; 0xd4uy; 0x20uy; 0xa7uy; 0xffuy; 0x53uy; 0xaduy; 0x37uy; 0xd0uy; 0x17uy; 0x35uy; 0xc9uy; 0xfcuy; 0xbauy; 0x0auy; 0x78uy; 0x3fuy; 0xf2uy; 0xccuy; 0x86uy; 0x89uy; 0xe8uy; 0x4buy; 0x3cuy; 0x48uy; 0x33uy; 0x09uy; 0x7fuy; 0xc6uy; 0xc0uy; 0xdduy; 0xb8uy; 0xfduy; 0x7auy; 0x66uy; 0x66uy; 0x65uy; 0xebuy; 0x47uy; 0xa7uy; 0x04uy; 0x28uy; 0xa3uy; 0x19uy; 0x8euy; 0xa9uy; 0xb1uy; 0x13uy; 0x67uy; 0x62uy; 0x70uy; 0xcfuy; 0xd6uy; ] in assert_norm (List.Tot.length l = 2027); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output11_len: (x:UInt32.t { UInt32.v x = B.length output11 }) = 2027ul noeq type vector = | Vector: output: B.buffer UInt8.t { B.recallable output } -> output_len: UInt32.t { B.length output = UInt32.v output_len } -> input: B.buffer UInt8.t { B.recallable input } -> input_len: UInt32.t { B.length input = UInt32.v input_len } -> aad: B.buffer UInt8.t { B.recallable aad /\ B.disjoint input aad } -> aad_len: UInt32.t { B.length aad = UInt32.v aad_len } -> nonce: B.buffer UInt8.t { B.recallable nonce } -> nonce_len: UInt32.t { B.length nonce = UInt32.v nonce_len } -> key: B.buffer UInt8.t { B.recallable key } -> key_len: UInt32.t { B.length key = UInt32.v key_len } -> vector
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: LowStar.Buffer.buffer Test.Vectors.Chacha20Poly1305.vector {LowStar.Monotonic.Buffer.length b = 12 /\ LowStar.Monotonic.Buffer.recallable b}
Prims.Tot
[ "total" ]
[]
[ "LowStar.Buffer.gcmalloc_of_list", "Test.Vectors.Chacha20Poly1305.vector", "FStar.Monotonic.HyperHeap.root", "LowStar.Monotonic.Buffer.mbuffer", "LowStar.Buffer.trivial_preorder", "Prims.l_and", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "FStar.Pervasives.normalize_term", "FStar.List.Tot.Base.length", "Prims.b2t", "Prims.op_Negation", "LowStar.Monotonic.Buffer.g_is_null", "FStar.Monotonic.HyperHeap.rid", "LowStar.Monotonic.Buffer.frameOf", "LowStar.Monotonic.Buffer.recallable", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.buffer", "Prims.list", "Prims.Cons", "Test.Vectors.Chacha20Poly1305.Vector", "Test.Vectors.Chacha20Poly1305.output0", "Test.Vectors.Chacha20Poly1305.output0_len", "Test.Vectors.Chacha20Poly1305.input0", "Test.Vectors.Chacha20Poly1305.input0_len", "Test.Vectors.Chacha20Poly1305.aad0", "Test.Vectors.Chacha20Poly1305.aad0_len", "Test.Vectors.Chacha20Poly1305.nonce0", "Test.Vectors.Chacha20Poly1305.nonce0_len", "Test.Vectors.Chacha20Poly1305.key0", "Test.Vectors.Chacha20Poly1305.key0_len", "Test.Vectors.Chacha20Poly1305.output1", "Test.Vectors.Chacha20Poly1305.output1_len", "Test.Vectors.Chacha20Poly1305.input1", "Test.Vectors.Chacha20Poly1305.input1_len", "Test.Vectors.Chacha20Poly1305.aad1", "Test.Vectors.Chacha20Poly1305.aad1_len", "Test.Vectors.Chacha20Poly1305.nonce1", "Test.Vectors.Chacha20Poly1305.nonce1_len", "Test.Vectors.Chacha20Poly1305.key1", "Test.Vectors.Chacha20Poly1305.key1_len", "Test.Vectors.Chacha20Poly1305.output2", "Test.Vectors.Chacha20Poly1305.output2_len", "Test.Vectors.Chacha20Poly1305.input2", "Test.Vectors.Chacha20Poly1305.input2_len", "Test.Vectors.Chacha20Poly1305.aad2", "Test.Vectors.Chacha20Poly1305.aad2_len", "Test.Vectors.Chacha20Poly1305.nonce2", "Test.Vectors.Chacha20Poly1305.nonce2_len", "Test.Vectors.Chacha20Poly1305.key2", "Test.Vectors.Chacha20Poly1305.key2_len", "Test.Vectors.Chacha20Poly1305.output3", "Test.Vectors.Chacha20Poly1305.output3_len", "Test.Vectors.Chacha20Poly1305.input3", "Test.Vectors.Chacha20Poly1305.input3_len", "Test.Vectors.Chacha20Poly1305.aad3", "Test.Vectors.Chacha20Poly1305.aad3_len", "Test.Vectors.Chacha20Poly1305.nonce3", "Test.Vectors.Chacha20Poly1305.nonce3_len", "Test.Vectors.Chacha20Poly1305.key3", "Test.Vectors.Chacha20Poly1305.key3_len", "Test.Vectors.Chacha20Poly1305.output4", "Test.Vectors.Chacha20Poly1305.output4_len", "Test.Vectors.Chacha20Poly1305.input4", "Test.Vectors.Chacha20Poly1305.input4_len", "Test.Vectors.Chacha20Poly1305.aad4", "Test.Vectors.Chacha20Poly1305.aad4_len", "Test.Vectors.Chacha20Poly1305.nonce4", "Test.Vectors.Chacha20Poly1305.nonce4_len", "Test.Vectors.Chacha20Poly1305.key4", "Test.Vectors.Chacha20Poly1305.key4_len", "Test.Vectors.Chacha20Poly1305.output5", "Test.Vectors.Chacha20Poly1305.output5_len", "Test.Vectors.Chacha20Poly1305.input5", "Test.Vectors.Chacha20Poly1305.input5_len", "Test.Vectors.Chacha20Poly1305.aad5", "Test.Vectors.Chacha20Poly1305.aad5_len", "Test.Vectors.Chacha20Poly1305.nonce5", "Test.Vectors.Chacha20Poly1305.nonce5_len", "Test.Vectors.Chacha20Poly1305.key5", "Test.Vectors.Chacha20Poly1305.key5_len", "Test.Vectors.Chacha20Poly1305.output6", "Test.Vectors.Chacha20Poly1305.output6_len", "Test.Vectors.Chacha20Poly1305.input6", "Test.Vectors.Chacha20Poly1305.input6_len", "Test.Vectors.Chacha20Poly1305.aad6", "Test.Vectors.Chacha20Poly1305.aad6_len", "Test.Vectors.Chacha20Poly1305.nonce6", "Test.Vectors.Chacha20Poly1305.nonce6_len", "Test.Vectors.Chacha20Poly1305.key6", "Test.Vectors.Chacha20Poly1305.key6_len", "Test.Vectors.Chacha20Poly1305.output7", "Test.Vectors.Chacha20Poly1305.output7_len", "Test.Vectors.Chacha20Poly1305.input7", "Test.Vectors.Chacha20Poly1305.input7_len", "Test.Vectors.Chacha20Poly1305.aad7", "Test.Vectors.Chacha20Poly1305.aad7_len", "Test.Vectors.Chacha20Poly1305.nonce7", "Test.Vectors.Chacha20Poly1305.nonce7_len", "Test.Vectors.Chacha20Poly1305.key7", "Test.Vectors.Chacha20Poly1305.key7_len", "Test.Vectors.Chacha20Poly1305.output8", "Test.Vectors.Chacha20Poly1305.output8_len", "Test.Vectors.Chacha20Poly1305.input8", "Test.Vectors.Chacha20Poly1305.input8_len", "Test.Vectors.Chacha20Poly1305.aad8", "Test.Vectors.Chacha20Poly1305.aad8_len", "Test.Vectors.Chacha20Poly1305.nonce8", "Test.Vectors.Chacha20Poly1305.nonce8_len", "Test.Vectors.Chacha20Poly1305.key8", "Test.Vectors.Chacha20Poly1305.key8_len", "Test.Vectors.Chacha20Poly1305.output9", "Test.Vectors.Chacha20Poly1305.output9_len", "Test.Vectors.Chacha20Poly1305.input9", "Test.Vectors.Chacha20Poly1305.input9_len", "Test.Vectors.Chacha20Poly1305.aad9", "Test.Vectors.Chacha20Poly1305.aad9_len", "Test.Vectors.Chacha20Poly1305.nonce9", "Test.Vectors.Chacha20Poly1305.nonce9_len", "Test.Vectors.Chacha20Poly1305.key9", "Test.Vectors.Chacha20Poly1305.key9_len", "Test.Vectors.Chacha20Poly1305.output10", "Test.Vectors.Chacha20Poly1305.output10_len", "Test.Vectors.Chacha20Poly1305.input10", "Test.Vectors.Chacha20Poly1305.input10_len", "Test.Vectors.Chacha20Poly1305.aad10", "Test.Vectors.Chacha20Poly1305.aad10_len", "Test.Vectors.Chacha20Poly1305.nonce10", "Test.Vectors.Chacha20Poly1305.nonce10_len", "Test.Vectors.Chacha20Poly1305.key10", "Test.Vectors.Chacha20Poly1305.key10_len", "Test.Vectors.Chacha20Poly1305.output11", "Test.Vectors.Chacha20Poly1305.output11_len", "Test.Vectors.Chacha20Poly1305.input11", "Test.Vectors.Chacha20Poly1305.input11_len", "Test.Vectors.Chacha20Poly1305.aad11", "Test.Vectors.Chacha20Poly1305.aad11_len", "Test.Vectors.Chacha20Poly1305.nonce11", "Test.Vectors.Chacha20Poly1305.nonce11_len", "Test.Vectors.Chacha20Poly1305.key11", "Test.Vectors.Chacha20Poly1305.key11_len", "Prims.Nil" ]
[]
false
false
false
false
false
let vectors:(b: B.buffer vector {B.length b = 12 /\ B.recallable b}) =
[@@ inline_let ]let l = [ Vector output0 output0_len input0 input0_len aad0 aad0_len nonce0 nonce0_len key0 key0_len; Vector output1 output1_len input1 input1_len aad1 aad1_len nonce1 nonce1_len key1 key1_len; Vector output2 output2_len input2 input2_len aad2 aad2_len nonce2 nonce2_len key2 key2_len; Vector output3 output3_len input3 input3_len aad3 aad3_len nonce3 nonce3_len key3 key3_len; Vector output4 output4_len input4 input4_len aad4 aad4_len nonce4 nonce4_len key4 key4_len; Vector output5 output5_len input5 input5_len aad5 aad5_len nonce5 nonce5_len key5 key5_len; Vector output6 output6_len input6 input6_len aad6 aad6_len nonce6 nonce6_len key6 key6_len; Vector output7 output7_len input7 input7_len aad7 aad7_len nonce7 nonce7_len key7 key7_len; Vector output8 output8_len input8 input8_len aad8 aad8_len nonce8 nonce8_len key8 key8_len; Vector output9 output9_len input9 input9_len aad9 aad9_len nonce9 nonce9_len key9 key9_len; Vector output10 output10_len input10 input10_len aad10 aad10_len nonce10 nonce10_len key10 key10_len; Vector output11 output11_len input11 input11_len aad11 aad11_len nonce11 nonce11_len key11 key11_len ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.felem_wide_fits1
val felem_wide_fits1 : x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Hacl.Spec.Poly1305.Field32xN.scale64 -> Prims.logical
let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 95, "end_line": 126, "start_col": 0, "start_line": 125 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Hacl.Spec.Poly1305.Field32xN.scale64 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.scale64", "Prims.l_Forall", "Prims.nat", "Prims.l_imp", "Prims.b2t", "Prims.op_LessThan", "Prims.op_LessThanOrEqual", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Lib.Sequence.op_String_Access", "Lib.IntTypes.uint_t", "Lib.IntVector.vec_v", "FStar.Mul.op_Star", "Hacl.Spec.Poly1305.Field32xN.max26", "Prims.logical" ]
[]
false
false
false
false
true
let felem_wide_fits1 (#w: lanes) (x: uint64xN w) (m: scale64) =
forall (i: nat). {:pattern (vec_v x).[ i ]} i < w ==> uint_v (vec_v x).[ i ] <= (m * max26) * max26
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.zero
val zero : w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.mk_int 0)}
let zero (w:lanes) = vec_zero U64 w
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 35, "end_line": 111, "start_col": 0, "start_line": 111 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.mk_int 0)}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.IntVector.vec_zero", "Lib.IntTypes.U64", "Lib.IntVector.vec_t", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.uint_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create", "Lib.IntTypes.mk_int" ]
[]
false
false
false
false
false
let zero (w: lanes) =
vec_zero U64 w
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.carry26_wide
val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w
val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w
let carry26_wide #w l cin = carry26 #w l cin
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 44, "end_line": 430, "start_col": 0, "start_line": 430 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
l: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> cin: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> Hacl.Spec.Poly1305.Field32xN.uint64xN w * Hacl.Spec.Poly1305.Field32xN.uint64xN w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry26", "FStar.Pervasives.Native.tuple2" ]
[]
false
false
false
false
false
let carry26_wide #w l cin =
carry26 #w l cin
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.transpose
val transpose (#w: lanes) (f: felem5 w) : lseq tup64_5 w
val transpose (#w: lanes) (f: felem5 w) : lseq tup64_5 w
let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i]))
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 68, "end_line": 154, "start_col": 0, "start_line": 147 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Lib.Sequence.lseq Hacl.Spec.Poly1305.Field32xN.tup64_5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Sequence.createi", "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "FStar.Pervasives.Native.Mktuple5", "Lib.IntTypes.uint64", "Lib.Sequence.op_String_Access", "Lib.IntTypes.uint_t", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v_t", "Lib.IntVector.vec_v", "Lib.Sequence.lseq" ]
[]
false
false
false
false
false
let transpose (#w: lanes) (f: felem5 w) : lseq tup64_5 w =
let f0, f1, f2, f3, f4 = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[ i ], v1.[ i ], v2.[ i ], v3.[ i ], v4.[ i ]))
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fmul_r5
val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w
val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w
let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 482, "start_col": 0, "start_line": 480 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f1: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r5: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry_wide_felem5", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.mul_felem5" ]
[]
false
false
false
false
false
let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) =
let t0, t1, t2, t3, t4 = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.mask14
val mask14 : w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.u64 0x3fff)}
let mask14 (w:lanes) = vec_load (u64 0x3fff) w
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 46, "end_line": 115, "start_col": 0, "start_line": 115 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.u64 0x3fff)}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.IntVector.vec_load", "Lib.IntTypes.U64", "Lib.IntTypes.u64", "Lib.IntVector.vec_t", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.uint_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create" ]
[]
false
false
false
false
false
let mask14 (w: lanes) =
vec_load (u64 0x3fff) w
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.felem_wide_fits5
val felem_wide_fits5 : f: Hacl.Spec.Poly1305.Field32xN.felem_wide5 w -> m: Hacl.Spec.Poly1305.Field32xN.scale64_5 -> Prims.logical
let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 24, "end_line": 144, "start_col": 0, "start_line": 137 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem_wide5 w -> m: Hacl.Spec.Poly1305.Field32xN.scale64_5 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.scale64_5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Prims.nat", "Prims.l_and", "Hacl.Spec.Poly1305.Field32xN.felem_wide_fits1", "Prims.logical" ]
[]
false
false
false
false
true
let felem_wide_fits5 (#w: lanes) (f: felem_wide5 w) (m: scale64_5) =
let x1, x2, x3, x4, x5 = f in let m1, m2, m3, m4, m5 = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fmul_rn5
val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w -> felem5 w
val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w -> felem5 w
let fmul_rn5 #w (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 506, "start_col": 0, "start_line": 504 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (a0, a1, a2, a3, a4) = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let (t0, t1, t2, t3, t4) = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f1: Hacl.Spec.Poly1305.Field32xN.felem5 w -> rn: Hacl.Spec.Poly1305.Field32xN.felem5 w -> rn5: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry_wide_felem5", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.mul_felem5" ]
[]
false
false
false
false
false
let fmul_rn5 #w (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) =
let t0, t1, t2, t3, t4 = mul_felem5 (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.felem_fits1
val felem_fits1 : x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Hacl.Spec.Poly1305.Field32xN.scale32 -> Prims.logical
let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 87, "end_line": 123, "start_col": 0, "start_line": 122 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Hacl.Spec.Poly1305.Field32xN.scale32 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.scale32", "Prims.l_Forall", "Prims.nat", "Prims.l_imp", "Prims.b2t", "Prims.op_LessThan", "Prims.op_LessThanOrEqual", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Lib.Sequence.op_String_Access", "Lib.IntTypes.uint_t", "Lib.IntVector.vec_v", "FStar.Mul.op_Star", "Hacl.Spec.Poly1305.Field32xN.max26", "Prims.logical" ]
[]
false
false
false
false
true
let felem_fits1 (#w: lanes) (x: uint64xN w) (m: scale32) =
forall (i: nat). {:pattern (vec_v x).[ i ]} i < w ==> uint_v (vec_v x).[ i ] <= m * max26
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.felem_fits5
val felem_fits5 : f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Prims.logical
let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 19, "end_line": 135, "start_col": 0, "start_line": 128 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Prims.nat", "Prims.l_and", "Hacl.Spec.Poly1305.Field32xN.felem_fits1", "Prims.logical" ]
[]
false
false
false
false
true
let felem_fits5 (#w: lanes) (f: felem5 w) (m: scale32_5) =
let x1, x2, x3, x4, x5 = f in let m1, m2, m3, m4, m5 = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.mask26
val mask26 : w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.u64 0x3ffffff)}
let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 49, "end_line": 113, "start_col": 0, "start_line": 113 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
w: Hacl.Spec.Poly1305.Field32xN.lanes -> v: Lib.IntVector.vec_t Lib.IntTypes.U64 w {Lib.IntVector.vec_v v == Lib.Sequence.create w (Lib.IntTypes.u64 0x3ffffff)}
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.IntVector.vec_load", "Lib.IntTypes.U64", "Lib.IntTypes.u64", "Lib.IntVector.vec_t", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.uint_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create" ]
[]
false
false
false
false
false
let mask26 (w: lanes) =
vec_load (u64 0x3ffffff) w
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.uint64xN_v
val uint64xN_v (#w: lanes) (e: uint64xN w) : lseq nat w
val uint64xN_v (#w: lanes) (e: uint64xN w) : lseq nat w
let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i])
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 171, "start_col": 0, "start_line": 169 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
e: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> Lib.Sequence.lseq Prims.nat w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.Sequence.createi", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Lib.Sequence.op_String_Access", "Lib.IntTypes.uint_t", "Lib.IntVector.vec_v_t", "Lib.IntVector.vec_v", "Lib.Sequence.lseq" ]
[]
false
false
false
false
false
let uint64xN_v (#w: lanes) (e: uint64xN w) : lseq nat w =
let e = vec_v e in createi #nat w (fun i -> uint_v e.[ i ])
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.as_tup64_i
val as_tup64_i (#w: lanes) (f: felem5 w) (i: nat{i < w}) : tup64_5
val as_tup64_i (#w: lanes) (f: felem5 w) (i: nat{i < w}) : tup64_5
let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i]
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 158, "start_col": 0, "start_line": 157 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i]))
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> i: Prims.nat{i < w} -> Hacl.Spec.Poly1305.Field32xN.tup64_5
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Prims.nat", "Prims.b2t", "Prims.op_LessThan", "Lib.Sequence.op_String_Access", "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Hacl.Spec.Poly1305.Field32xN.transpose" ]
[]
false
false
false
false
false
let as_tup64_i (#w: lanes) (f: felem5 w) (i: nat{i < w}) : tup64_5 =
(transpose #w f).[ i ]
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fadd_mul_r5
val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w
val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w
let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (a0, a1, a2, a3, a4) = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let (t0, t1, t2, t3, t4) = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 495, "start_col": 0, "start_line": 492 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
acc: Hacl.Spec.Poly1305.Field32xN.felem5 w -> f1: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r: Hacl.Spec.Poly1305.Field32xN.felem5 w -> r5: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple4", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry_wide_felem5", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.mul_felem5", "Hacl.Spec.Poly1305.Field32xN.fadd5" ]
[]
false
false
false
false
false
let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) =
let a0, a1, a2, a3, a4 = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let t0, t1, t2, t3, t4 = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.as_nat5
val as_nat5: f:tup64_5 -> nat
val as_nat5: f:tup64_5 -> nat
let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 67, "end_line": 99, "start_col": 0, "start_line": 97 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.tup64_5 -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.tup64_5", "Lib.IntTypes.uint64", "Prims.op_Addition", "Lib.IntTypes.v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "FStar.Mul.op_Star", "Hacl.Spec.Poly1305.Field32xN.pow26", "Hacl.Spec.Poly1305.Field32xN.pow52", "Hacl.Spec.Poly1305.Field32xN.pow78", "Hacl.Spec.Poly1305.Field32xN.pow104", "Prims.nat" ]
[]
false
false
false
true
false
let as_nat5 f =
let s0, s1, s2, s3, s4 = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.uint64xN_fits
val uint64xN_fits : x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Prims.nat -> Prims.logical
let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 52, "end_line": 174, "start_col": 0, "start_line": 173 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i])
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
x: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> m: Prims.nat -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Prims.nat", "Prims.l_Forall", "Prims.l_imp", "Prims.b2t", "Prims.op_LessThan", "Lib.IntTypes.uint_v", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "Lib.Sequence.op_String_Access", "Lib.IntTypes.uint_t", "Lib.IntVector.vec_v", "Prims.logical" ]
[]
false
false
false
false
true
let uint64xN_fits (#w: lanes) (x: uint64xN w) (m: nat) =
forall (i: nat). i < w ==> uint_v (vec_v x).[ i ] < m
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.as_tup5
val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w)
val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w)
let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4])
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 37, "end_line": 183, "start_col": 0, "start_line": 182 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5 -> Prims.GTot (Hacl.Spec.Poly1305.Field32xN.felem5 w)
Prims.GTot
[ "sometrivial" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.Sequence.op_String_Access", "Hacl.Spec.Poly1305.Field32xN.felem5" ]
[]
false
false
false
false
false
let as_tup5 #w s =
(s.[ 0 ], s.[ 1 ], s.[ 2 ], s.[ 3 ], s.[ 4 ])
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.lfelem_fits
val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0
val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0
let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 27, "end_line": 188, "start_col": 0, "start_line": 187 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5 -> m: Hacl.Spec.Poly1305.Field32xN.scale32_5 -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.scale32_5", "Hacl.Spec.Poly1305.Field32xN.felem_fits5", "Hacl.Spec.Poly1305.Field32xN.as_tup5" ]
[]
false
false
false
false
true
let lfelem_fits #w f m =
felem_fits5 (as_tup5 f) m
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.lfelem_less
val lfelem_less (#w: lanes) (f: lseq (uint64xN w) 5) (max: nat) : Type0
val lfelem_less (#w: lanes) (f: lseq (uint64xN w) 5) (max: nat) : Type0
let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 29, "end_line": 196, "start_col": 0, "start_line": 195 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5 -> max: Prims.nat -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Prims.nat", "Hacl.Spec.Poly1305.Field32xN.felem_less5", "Hacl.Spec.Poly1305.Field32xN.as_tup5" ]
[]
false
false
false
false
true
let lfelem_less (#w: lanes) (f: lseq (uint64xN w) 5) (max: nat) : Type0 =
felem_less5 (as_tup5 f) max
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.lfeval
val lfeval (#w: lanes) (f: lseq (uint64xN w) 5) : GTot (lseq pfelem w)
val lfeval (#w: lanes) (f: lseq (uint64xN w) 5) : GTot (lseq pfelem w)
let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 20, "end_line": 192, "start_col": 0, "start_line": 191 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5 -> Prims.GTot (Lib.Sequence.lseq Hacl.Spec.Poly1305.Vec.pfelem w)
Prims.GTot
[ "sometrivial" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.feval5", "Hacl.Spec.Poly1305.Field32xN.as_tup5", "Hacl.Spec.Poly1305.Vec.pfelem" ]
[]
false
false
false
false
false
let lfeval (#w: lanes) (f: lseq (uint64xN w) 5) : GTot (lseq pfelem w) =
feval5 (as_tup5 f)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fadd5
val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w
val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w
let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 233, "start_col": 0, "start_line": 222 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f1: Hacl.Spec.Poly1305.Field32xN.felem5 w -> f2: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.op_Plus_Bar" ]
[]
false
false
false
false
false
let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) =
[@@ inline_let ]let o0 = f10 +| f20 in [@@ inline_let ]let o1 = f11 +| f21 in [@@ inline_let ]let o2 = f12 +| f22 in [@@ inline_let ]let o3 = f13 +| f23 in [@@ inline_let ]let o4 = f14 +| f24 in (o0, o1, o2, o3, o4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.smul_add_felem5
val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w
val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w
let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 272, "start_col": 0, "start_line": 261 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
u1: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> f2: Hacl.Spec.Poly1305.Field32xN.felem5 w -> acc1: Hacl.Spec.Poly1305.Field32xN.felem_wide5 w -> Hacl.Spec.Poly1305.Field32xN.felem_wide5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple5", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_add_mod", "Lib.IntVector.vec_mul_mod" ]
[]
false
false
false
false
false
let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) =
[@@ inline_let ]let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@@ inline_let ]let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@@ inline_let ]let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@@ inline_let ]let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@@ inline_let ]let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4)
false
Hacl.Streaming.Interface.fsti
Hacl.Streaming.Interface.uint8
val uint8 : Type0
let uint8 = Lib.IntTypes.uint8
{ "file_name": "code/streaming/Hacl.Streaming.Interface.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 30, "end_line": 25, "start_col": 0, "start_line": 25 }
module Hacl.Streaming.Interface open FStar.HyperStack.ST open FStar.Integers /// This is the interface that the streaming functor expects from a block-based /// API. We need to be abstract vis à vis the state representations of the /// underlying block-based API. For that, we use classic framing lemma and /// invariant preservation techniques used in EverCrypt and elsewhere. #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 100" module HS = FStar.HyperStack module ST = FStar.HyperStack.ST module B = LowStar.Buffer module G = FStar.Ghost module S = FStar.Seq module U32 = FStar.UInt32 module U64 = FStar.UInt64 open LowStar.BufferOps open FStar.Mul
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.BufferOps.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Integers.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Streaming.Interface.fsti" }
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "LowStar.BufferOps", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "FStar.Ghost", "short_module": "G" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "FStar.HyperStack", "short_module": "HS" }, { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "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": 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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Type0
Prims.Tot
[ "total" ]
[]
[ "Lib.IntTypes.uint8" ]
[]
false
false
false
true
true
let uint8 =
Lib.IntTypes.uint8
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.smul_felem5
val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w
val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w
let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 252, "start_col": 0, "start_line": 241 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
u1: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> f2: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem_wide5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map2", "Lib.IntTypes.mul_mod", "Lib.IntVector.vec_mul_mod", "Hacl.Spec.Poly1305.Field32xN.felem_wide5" ]
[]
false
false
false
false
false
let smul_felem5 #w u1 (f20, f21, f22, f23, f24) =
[@@ inline_let ]let o0 = vec_mul_mod f20 u1 in [@@ inline_let ]let o1 = vec_mul_mod f21 u1 in [@@ inline_let ]let o2 = vec_mul_mod f22 u1 in [@@ inline_let ]let o3 = vec_mul_mod f23 u1 in [@@ inline_let ]let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.carry26
val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w
val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w
let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 48, "end_line": 297, "start_col": 0, "start_line": 295 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
l: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> cin: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> Hacl.Spec.Poly1305.Field32xN.uint64xN w * Hacl.Spec.Poly1305.Field32xN.uint64xN w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple2", "Lib.IntVector.vec_and", "Lib.IntTypes.U64", "Hacl.Spec.Poly1305.Field32xN.mask26", "Lib.IntVector.vec_shift_right", "FStar.UInt32.__uint_to_t", "Lib.IntVector.vec_t", "Lib.IntVector.vec_add_mod", "FStar.Pervasives.Native.tuple2" ]
[]
false
false
false
false
false
let carry26 #w l cin =
let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul)
false
Hacl.Streaming.Interface.fsti
Hacl.Streaming.Interface.uint32
val uint32 : Type0
let uint32 = Lib.IntTypes.uint32
{ "file_name": "code/streaming/Hacl.Streaming.Interface.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 32, "end_line": 28, "start_col": 0, "start_line": 28 }
module Hacl.Streaming.Interface open FStar.HyperStack.ST open FStar.Integers /// This is the interface that the streaming functor expects from a block-based /// API. We need to be abstract vis à vis the state representations of the /// underlying block-based API. For that, we use classic framing lemma and /// invariant preservation techniques used in EverCrypt and elsewhere. #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 100" module HS = FStar.HyperStack module ST = FStar.HyperStack.ST module B = LowStar.Buffer module G = FStar.Ghost module S = FStar.Seq module U32 = FStar.UInt32 module U64 = FStar.UInt64 open LowStar.BufferOps open FStar.Mul inline_for_extraction noextract let uint8 = Lib.IntTypes.uint8
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.BufferOps.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Integers.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Streaming.Interface.fsti" }
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "LowStar.BufferOps", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "FStar.Ghost", "short_module": "G" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "FStar.HyperStack", "short_module": "HS" }, { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "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": 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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
Type0
Prims.Tot
[ "total" ]
[]
[ "Lib.IntTypes.uint32" ]
[]
false
false
false
true
true
let uint32 =
Lib.IntTypes.uint32
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.precomp_r5
val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w
val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w
let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 27, "end_line": 214, "start_col": 0, "start_line": 203 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
r: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map", "Lib.IntTypes.mul_mod", "Lib.IntTypes.mk_int", "Prims.int", "Lib.IntTypes.range", "Lib.IntTypes.v", "Lib.IntVector.vec_smul_mod", "Lib.IntTypes.u64" ]
[]
false
false
false
false
false
let precomp_r5 #w (r0, r1, r2, r3, r4) =
[@@ inline_let ]let r50 = vec_smul_mod r0 (u64 5) in [@@ inline_let ]let r51 = vec_smul_mod r1 (u64 5) in [@@ inline_let ]let r52 = vec_smul_mod r2 (u64 5) in [@@ inline_let ]let r53 = vec_smul_mod r3 (u64 5) in [@@ inline_let ]let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54)
false
Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.output6
val output6:(b: B.buffer UInt8.t {B.length b = 272 /\ B.recallable b})
val output6:(b: B.buffer UInt8.t {B.length b = 272 /\ B.recallable b})
let output6: (b: B.buffer UInt8.t { B.length b = 272 /\ B.recallable b }) = [@inline_let] let l = [ 0x85uy; 0x04uy; 0xc2uy; 0xeduy; 0x8duy; 0xfduy; 0x97uy; 0x5cuy; 0xd2uy; 0xb7uy; 0xe2uy; 0xc1uy; 0x6buy; 0xa3uy; 0xbauy; 0xf8uy; 0xc9uy; 0x50uy; 0xc3uy; 0xc6uy; 0xa5uy; 0xe3uy; 0xa4uy; 0x7cuy; 0xc3uy; 0x23uy; 0x49uy; 0x5euy; 0xa9uy; 0xb9uy; 0x32uy; 0xebuy; 0x8auy; 0x7cuy; 0xcauy; 0xe5uy; 0xecuy; 0xfbuy; 0x7cuy; 0xc0uy; 0xcbuy; 0x7duy; 0xdcuy; 0x2cuy; 0x9duy; 0x92uy; 0x55uy; 0x21uy; 0x0auy; 0xc8uy; 0x43uy; 0x63uy; 0x59uy; 0x0auy; 0x31uy; 0x70uy; 0x82uy; 0x67uy; 0x41uy; 0x03uy; 0xf8uy; 0xdfuy; 0xf2uy; 0xacuy; 0xa7uy; 0x02uy; 0xd4uy; 0xd5uy; 0x8auy; 0x2duy; 0xc8uy; 0x99uy; 0x19uy; 0x66uy; 0xd0uy; 0xf6uy; 0x88uy; 0x2cuy; 0x77uy; 0xd9uy; 0xd4uy; 0x0duy; 0x6cuy; 0xbduy; 0x98uy; 0xdeuy; 0xe7uy; 0x7fuy; 0xaduy; 0x7euy; 0x8auy; 0xfbuy; 0xe9uy; 0x4buy; 0xe5uy; 0xf7uy; 0xe5uy; 0x50uy; 0xa0uy; 0x90uy; 0x3fuy; 0xd6uy; 0x22uy; 0x53uy; 0xe3uy; 0xfeuy; 0x1buy; 0xccuy; 0x79uy; 0x3buy; 0xecuy; 0x12uy; 0x47uy; 0x52uy; 0xa7uy; 0xd6uy; 0x04uy; 0xe3uy; 0x52uy; 0xe6uy; 0x93uy; 0x90uy; 0x91uy; 0x32uy; 0x73uy; 0x79uy; 0xb8uy; 0xd0uy; 0x31uy; 0xdeuy; 0x1fuy; 0x9fuy; 0x2fuy; 0x05uy; 0x38uy; 0x54uy; 0x2fuy; 0x35uy; 0x04uy; 0x39uy; 0xe0uy; 0xa7uy; 0xbauy; 0xc6uy; 0x52uy; 0xf6uy; 0x37uy; 0x65uy; 0x4cuy; 0x07uy; 0xa9uy; 0x7euy; 0xb3uy; 0x21uy; 0x6fuy; 0x74uy; 0x8cuy; 0xc9uy; 0xdeuy; 0xdbuy; 0x65uy; 0x1buy; 0x9buy; 0xaauy; 0x60uy; 0xb1uy; 0x03uy; 0x30uy; 0x6buy; 0xb2uy; 0x03uy; 0xc4uy; 0x1cuy; 0x04uy; 0xf8uy; 0x0fuy; 0x64uy; 0xafuy; 0x46uy; 0xe4uy; 0x65uy; 0x99uy; 0x49uy; 0xe2uy; 0xeauy; 0xceuy; 0x78uy; 0x00uy; 0xd8uy; 0x8buy; 0xd5uy; 0x2euy; 0xcfuy; 0xfcuy; 0x40uy; 0x49uy; 0xe8uy; 0x58uy; 0xdcuy; 0x34uy; 0x9cuy; 0x8cuy; 0x61uy; 0xbfuy; 0x0auy; 0x8euy; 0xecuy; 0x39uy; 0xa9uy; 0x30uy; 0x05uy; 0x5auy; 0xd2uy; 0x56uy; 0x01uy; 0xc7uy; 0xdauy; 0x8fuy; 0x4euy; 0xbbuy; 0x43uy; 0xa3uy; 0x3auy; 0xf9uy; 0x15uy; 0x2auy; 0xd0uy; 0xa0uy; 0x7auy; 0x87uy; 0x34uy; 0x82uy; 0xfeuy; 0x8auy; 0xd1uy; 0x2duy; 0x5euy; 0xc7uy; 0xbfuy; 0x04uy; 0x53uy; 0x5fuy; 0x3buy; 0x36uy; 0xd4uy; 0x25uy; 0x5cuy; 0x34uy; 0x7auy; 0x8duy; 0xd5uy; 0x05uy; 0xceuy; 0x72uy; 0xcauy; 0xefuy; 0x7auy; 0x4buy; 0xbcuy; 0xb0uy; 0x10uy; 0x5cuy; 0x96uy; 0x42uy; 0x3auy; 0x00uy; 0x98uy; 0xcduy; 0x15uy; 0xe8uy; 0xb7uy; 0x53uy; ] in assert_norm (List.Tot.length l = 272); B.gcmalloc_of_list HyperStack.root l
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 282, "start_col": 0, "start_line": 279 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output0_len: (x:UInt32.t { UInt32.v x = B.length output0 }) = 281ul let key1: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4cuy; 0xf5uy; 0x96uy; 0x83uy; 0x38uy; 0xe6uy; 0xaeuy; 0x7fuy; 0x2duy; 0x29uy; 0x25uy; 0x76uy; 0xd5uy; 0x75uy; 0x27uy; 0x86uy; 0x91uy; 0x9auy; 0x27uy; 0x7auy; 0xfbuy; 0x46uy; 0xc5uy; 0xefuy; 0x94uy; 0x81uy; 0x79uy; 0x57uy; 0x14uy; 0x59uy; 0x40uy; 0x68uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key1_len: (x:UInt32.t { UInt32.v x = B.length key1 }) = 32ul let nonce1: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xcauy; 0xbfuy; 0x33uy; 0x71uy; 0x32uy; 0x45uy; 0x77uy; 0x8euy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce1_len: (x:UInt32.t { UInt32.v x = B.length nonce1 }) = 12ul let aad1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad1_len: (x:UInt32.t { UInt32.v x = B.length aad1 }) = 0ul let input1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad1 }) = B.recall aad1;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input1_len: (x:UInt32.t { UInt32.v x = B.length input1 }) = 0ul let output1: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xe0uy; 0x1euy; 0x9euy; 0x2cuy; 0x91uy; 0xaauy; 0xe1uy; 0xdbuy; 0x5duy; 0x99uy; 0x3fuy; 0x8auy; 0xf7uy; 0x69uy; 0x92uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output1_len: (x:UInt32.t { UInt32.v x = B.length output1 }) = 16ul let key2: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x2duy; 0xb0uy; 0x5duy; 0x40uy; 0xc8uy; 0xeduy; 0x44uy; 0x88uy; 0x34uy; 0xd1uy; 0x13uy; 0xafuy; 0x57uy; 0xa1uy; 0xebuy; 0x3auy; 0x2auy; 0x80uy; 0x51uy; 0x36uy; 0xecuy; 0x5buy; 0xbcuy; 0x08uy; 0x93uy; 0x84uy; 0x21uy; 0xb5uy; 0x13uy; 0x88uy; 0x3cuy; 0x0duy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key2_len: (x:UInt32.t { UInt32.v x = B.length key2 }) = 32ul let nonce2: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x3duy; 0x86uy; 0xb5uy; 0x6buy; 0xc8uy; 0xa3uy; 0x1fuy; 0x1duy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce2_len: (x:UInt32.t { UInt32.v x = B.length nonce2 }) = 12ul let aad2: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x33uy; 0x10uy; 0x41uy; 0x12uy; 0x1fuy; 0xf3uy; 0xd2uy; 0x6buy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad2_len: (x:UInt32.t { UInt32.v x = B.length aad2 }) = 8ul let input2: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad2 }) = B.recall aad2;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input2_len: (x:UInt32.t { UInt32.v x = B.length input2 }) = 0ul let output2: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xdduy; 0x6buy; 0x3buy; 0x82uy; 0xceuy; 0x5auy; 0xbduy; 0xd6uy; 0xa9uy; 0x35uy; 0x83uy; 0xd8uy; 0x8cuy; 0x3duy; 0x85uy; 0x77uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output2_len: (x:UInt32.t { UInt32.v x = B.length output2 }) = 16ul let key3: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4buy; 0x28uy; 0x4buy; 0xa3uy; 0x7buy; 0xbeuy; 0xe9uy; 0xf8uy; 0x31uy; 0x80uy; 0x82uy; 0xd7uy; 0xd8uy; 0xe8uy; 0xb5uy; 0xa1uy; 0xe2uy; 0x18uy; 0x18uy; 0x8auy; 0x9cuy; 0xfauy; 0xa3uy; 0x3duy; 0x25uy; 0x71uy; 0x3euy; 0x40uy; 0xbcuy; 0x54uy; 0x7auy; 0x3euy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key3_len: (x:UInt32.t { UInt32.v x = B.length key3 }) = 32ul let nonce3: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xd2uy; 0x32uy; 0x1fuy; 0x29uy; 0x28uy; 0xc6uy; 0xc4uy; 0xc4uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce3_len: (x:UInt32.t { UInt32.v x = B.length nonce3 }) = 12ul let aad3: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xe2uy; 0xaduy; 0x3fuy; 0x88uy; 0x39uy; 0x5auy; 0x40uy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad3_len: (x:UInt32.t { UInt32.v x = B.length aad3 }) = 8ul let input3: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad3 }) = B.recall aad3;[@inline_let] let l = [ 0xa4uy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input3_len: (x:UInt32.t { UInt32.v x = B.length input3 }) = 1ul let output3: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xb7uy; 0x1buy; 0xb0uy; 0x73uy; 0x59uy; 0xb0uy; 0x84uy; 0xb2uy; 0x6duy; 0x8euy; 0xabuy; 0x94uy; 0x31uy; 0xa1uy; 0xaeuy; 0xacuy; 0x89uy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output3_len: (x:UInt32.t { UInt32.v x = B.length output3 }) = 17ul let key4: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x66uy; 0xcauy; 0x9cuy; 0x23uy; 0x2auy; 0x4buy; 0x4buy; 0x31uy; 0x0euy; 0x92uy; 0x89uy; 0x8buy; 0xf4uy; 0x93uy; 0xc7uy; 0x87uy; 0x98uy; 0xa3uy; 0xd8uy; 0x39uy; 0xf8uy; 0xf4uy; 0xa7uy; 0x01uy; 0xc0uy; 0x2euy; 0x0auy; 0xa6uy; 0x7euy; 0x5auy; 0x78uy; 0x87uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key4_len: (x:UInt32.t { UInt32.v x = B.length key4 }) = 32ul let nonce4: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x20uy; 0x1cuy; 0xaauy; 0x5fuy; 0x9cuy; 0xbfuy; 0x92uy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce4_len: (x:UInt32.t { UInt32.v x = B.length nonce4 }) = 12ul let aad4: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad4_len: (x:UInt32.t { UInt32.v x = B.length aad4 }) = 0ul let input4: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad4 }) = B.recall aad4;[@inline_let] let l = [ 0x2duy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input4_len: (x:UInt32.t { UInt32.v x = B.length input4 }) = 1ul let output4: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xbfuy; 0xe1uy; 0x5buy; 0x0buy; 0xdbuy; 0x6buy; 0xf5uy; 0x5euy; 0x6cuy; 0x5duy; 0x84uy; 0x44uy; 0x39uy; 0x81uy; 0xc1uy; 0x9cuy; 0xacuy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output4_len: (x:UInt32.t { UInt32.v x = B.length output4 }) = 17ul let key5: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x68uy; 0x7buy; 0x8duy; 0x8euy; 0xe3uy; 0xc4uy; 0xdduy; 0xaeuy; 0xdfuy; 0x72uy; 0x7fuy; 0x53uy; 0x72uy; 0x25uy; 0x1euy; 0x78uy; 0x91uy; 0xcbuy; 0x69uy; 0x76uy; 0x1fuy; 0x49uy; 0x93uy; 0xf9uy; 0x6fuy; 0x21uy; 0xccuy; 0x39uy; 0x9cuy; 0xaduy; 0xb1uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key5_len: (x:UInt32.t { UInt32.v x = B.length key5 }) = 32ul let nonce5: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdfuy; 0x51uy; 0x84uy; 0x82uy; 0x42uy; 0x0cuy; 0x75uy; 0x9cuy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce5_len: (x:UInt32.t { UInt32.v x = B.length nonce5 }) = 12ul let aad5: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0x70uy; 0xd3uy; 0x33uy; 0xf3uy; 0x8buy; 0x18uy; 0x0buy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad5_len: (x:UInt32.t { UInt32.v x = B.length aad5 }) = 7ul let input5: (b: B.buffer UInt8.t { B.length b = 129 /\ B.recallable b /\ B.disjoint b aad5 }) = B.recall aad5;[@inline_let] let l = [ 0x33uy; 0x2fuy; 0x94uy; 0xc1uy; 0xa4uy; 0xefuy; 0xccuy; 0x2auy; 0x5buy; 0xa6uy; 0xe5uy; 0x8fuy; 0x1duy; 0x40uy; 0xf0uy; 0x92uy; 0x3cuy; 0xd9uy; 0x24uy; 0x11uy; 0xa9uy; 0x71uy; 0xf9uy; 0x37uy; 0x14uy; 0x99uy; 0xfauy; 0xbeuy; 0xe6uy; 0x80uy; 0xdeuy; 0x50uy; 0xc9uy; 0x96uy; 0xd4uy; 0xb0uy; 0xecuy; 0x9euy; 0x17uy; 0xecuy; 0xd2uy; 0x5euy; 0x72uy; 0x99uy; 0xfcuy; 0x0auy; 0xe1uy; 0xcbuy; 0x48uy; 0xd2uy; 0x85uy; 0xdduy; 0x2fuy; 0x90uy; 0xe0uy; 0x66uy; 0x3buy; 0xe6uy; 0x20uy; 0x74uy; 0xbeuy; 0x23uy; 0x8fuy; 0xcbuy; 0xb4uy; 0xe4uy; 0xdauy; 0x48uy; 0x40uy; 0xa6uy; 0xd1uy; 0x1buy; 0xc7uy; 0x42uy; 0xceuy; 0x2fuy; 0x0cuy; 0xa6uy; 0x85uy; 0x6euy; 0x87uy; 0x37uy; 0x03uy; 0xb1uy; 0x7cuy; 0x25uy; 0x96uy; 0xa3uy; 0x05uy; 0xd8uy; 0xb0uy; 0xf4uy; 0xeduy; 0xeauy; 0xc2uy; 0xf0uy; 0x31uy; 0x98uy; 0x6cuy; 0xd1uy; 0x14uy; 0x25uy; 0xc0uy; 0xcbuy; 0x01uy; 0x74uy; 0xd0uy; 0x82uy; 0xf4uy; 0x36uy; 0xf5uy; 0x41uy; 0xd5uy; 0xdcuy; 0xcauy; 0xc5uy; 0xbbuy; 0x98uy; 0xfeuy; 0xfcuy; 0x69uy; 0x21uy; 0x70uy; 0xd8uy; 0xa4uy; 0x4buy; 0xc8uy; 0xdeuy; 0x8fuy; ] in assert_norm (List.Tot.length l = 129); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input5_len: (x:UInt32.t { UInt32.v x = B.length input5 }) = 129ul let output5: (b: B.buffer UInt8.t { B.length b = 145 /\ B.recallable b }) = [@inline_let] let l = [ 0x8buy; 0x06uy; 0xd3uy; 0x31uy; 0xb0uy; 0x93uy; 0x45uy; 0xb1uy; 0x75uy; 0x6euy; 0x26uy; 0xf9uy; 0x67uy; 0xbcuy; 0x90uy; 0x15uy; 0x81uy; 0x2cuy; 0xb5uy; 0xf0uy; 0xc6uy; 0x2buy; 0xc7uy; 0x8cuy; 0x56uy; 0xd1uy; 0xbfuy; 0x69uy; 0x6cuy; 0x07uy; 0xa0uy; 0xdauy; 0x65uy; 0x27uy; 0xc9uy; 0x90uy; 0x3duy; 0xefuy; 0x4buy; 0x11uy; 0x0fuy; 0x19uy; 0x07uy; 0xfduy; 0x29uy; 0x92uy; 0xd9uy; 0xc8uy; 0xf7uy; 0x99uy; 0x2euy; 0x4auy; 0xd0uy; 0xb8uy; 0x2cuy; 0xdcuy; 0x93uy; 0xf5uy; 0x9euy; 0x33uy; 0x78uy; 0xd1uy; 0x37uy; 0xc3uy; 0x66uy; 0xd7uy; 0x5euy; 0xbcuy; 0x44uy; 0xbfuy; 0x53uy; 0xa5uy; 0xbcuy; 0xc4uy; 0xcbuy; 0x7buy; 0x3auy; 0x8euy; 0x7fuy; 0x02uy; 0xbduy; 0xbbuy; 0xe7uy; 0xcauy; 0xa6uy; 0x6cuy; 0x6buy; 0x93uy; 0x21uy; 0x93uy; 0x10uy; 0x61uy; 0xe7uy; 0x69uy; 0xd0uy; 0x78uy; 0xf3uy; 0x07uy; 0x5auy; 0x1auy; 0x8fuy; 0x73uy; 0xaauy; 0xb1uy; 0x4euy; 0xd3uy; 0xdauy; 0x4fuy; 0xf3uy; 0x32uy; 0xe1uy; 0x66uy; 0x3euy; 0x6cuy; 0xc6uy; 0x13uy; 0xbauy; 0x06uy; 0x5buy; 0xfcuy; 0x6auy; 0xe5uy; 0x6fuy; 0x60uy; 0xfbuy; 0x07uy; 0x40uy; 0xb0uy; 0x8cuy; 0x9duy; 0x84uy; 0x43uy; 0x6buy; 0xc1uy; 0xf7uy; 0x8duy; 0x8duy; 0x31uy; 0xf7uy; 0x7auy; 0x39uy; 0x4duy; 0x8fuy; 0x9auy; 0xebuy; ] in assert_norm (List.Tot.length l = 145); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output5_len: (x:UInt32.t { UInt32.v x = B.length output5 }) = 145ul let key6: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x8duy; 0xb8uy; 0x91uy; 0x48uy; 0xf0uy; 0xe7uy; 0x0auy; 0xbduy; 0xf9uy; 0x3fuy; 0xcduy; 0xd9uy; 0xa0uy; 0x1euy; 0x42uy; 0x4cuy; 0xe7uy; 0xdeuy; 0x25uy; 0x3duy; 0xa3uy; 0xd7uy; 0x05uy; 0x80uy; 0x8duy; 0xf2uy; 0x82uy; 0xacuy; 0x44uy; 0x16uy; 0x51uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key6_len: (x:UInt32.t { UInt32.v x = B.length key6 }) = 32ul let nonce6: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdeuy; 0x7buy; 0xefuy; 0xc3uy; 0x65uy; 0x1buy; 0x68uy; 0xb0uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce6_len: (x:UInt32.t { UInt32.v x = B.length nonce6 }) = 12ul let aad6: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad6_len: (x:UInt32.t { UInt32.v x = B.length aad6 }) = 0ul let input6: (b: B.buffer UInt8.t { B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6 }) = B.recall aad6;[@inline_let] let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy; ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input6_len: (x:UInt32.t { UInt32.v x = B.length input6 }) = 256ul
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: LowStar.Buffer.buffer FStar.UInt8.t {LowStar.Monotonic.Buffer.length b = 272 /\ LowStar.Monotonic.Buffer.recallable b}
Prims.Tot
[ "total" ]
[]
[ "LowStar.Buffer.gcmalloc_of_list", "FStar.UInt8.t", "FStar.Monotonic.HyperHeap.root", "LowStar.Monotonic.Buffer.mbuffer", "LowStar.Buffer.trivial_preorder", "Prims.l_and", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "FStar.Pervasives.normalize_term", "FStar.List.Tot.Base.length", "Prims.b2t", "Prims.op_Negation", "LowStar.Monotonic.Buffer.g_is_null", "FStar.Monotonic.HyperHeap.rid", "LowStar.Monotonic.Buffer.frameOf", "LowStar.Monotonic.Buffer.recallable", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.buffer", "Prims.list", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil" ]
[]
false
false
false
false
false
let output6:(b: B.buffer UInt8.t {B.length b = 272 /\ B.recallable b}) =
[@@ inline_let ]let l = [ 0x85uy; 0x04uy; 0xc2uy; 0xeduy; 0x8duy; 0xfduy; 0x97uy; 0x5cuy; 0xd2uy; 0xb7uy; 0xe2uy; 0xc1uy; 0x6buy; 0xa3uy; 0xbauy; 0xf8uy; 0xc9uy; 0x50uy; 0xc3uy; 0xc6uy; 0xa5uy; 0xe3uy; 0xa4uy; 0x7cuy; 0xc3uy; 0x23uy; 0x49uy; 0x5euy; 0xa9uy; 0xb9uy; 0x32uy; 0xebuy; 0x8auy; 0x7cuy; 0xcauy; 0xe5uy; 0xecuy; 0xfbuy; 0x7cuy; 0xc0uy; 0xcbuy; 0x7duy; 0xdcuy; 0x2cuy; 0x9duy; 0x92uy; 0x55uy; 0x21uy; 0x0auy; 0xc8uy; 0x43uy; 0x63uy; 0x59uy; 0x0auy; 0x31uy; 0x70uy; 0x82uy; 0x67uy; 0x41uy; 0x03uy; 0xf8uy; 0xdfuy; 0xf2uy; 0xacuy; 0xa7uy; 0x02uy; 0xd4uy; 0xd5uy; 0x8auy; 0x2duy; 0xc8uy; 0x99uy; 0x19uy; 0x66uy; 0xd0uy; 0xf6uy; 0x88uy; 0x2cuy; 0x77uy; 0xd9uy; 0xd4uy; 0x0duy; 0x6cuy; 0xbduy; 0x98uy; 0xdeuy; 0xe7uy; 0x7fuy; 0xaduy; 0x7euy; 0x8auy; 0xfbuy; 0xe9uy; 0x4buy; 0xe5uy; 0xf7uy; 0xe5uy; 0x50uy; 0xa0uy; 0x90uy; 0x3fuy; 0xd6uy; 0x22uy; 0x53uy; 0xe3uy; 0xfeuy; 0x1buy; 0xccuy; 0x79uy; 0x3buy; 0xecuy; 0x12uy; 0x47uy; 0x52uy; 0xa7uy; 0xd6uy; 0x04uy; 0xe3uy; 0x52uy; 0xe6uy; 0x93uy; 0x90uy; 0x91uy; 0x32uy; 0x73uy; 0x79uy; 0xb8uy; 0xd0uy; 0x31uy; 0xdeuy; 0x1fuy; 0x9fuy; 0x2fuy; 0x05uy; 0x38uy; 0x54uy; 0x2fuy; 0x35uy; 0x04uy; 0x39uy; 0xe0uy; 0xa7uy; 0xbauy; 0xc6uy; 0x52uy; 0xf6uy; 0x37uy; 0x65uy; 0x4cuy; 0x07uy; 0xa9uy; 0x7euy; 0xb3uy; 0x21uy; 0x6fuy; 0x74uy; 0x8cuy; 0xc9uy; 0xdeuy; 0xdbuy; 0x65uy; 0x1buy; 0x9buy; 0xaauy; 0x60uy; 0xb1uy; 0x03uy; 0x30uy; 0x6buy; 0xb2uy; 0x03uy; 0xc4uy; 0x1cuy; 0x04uy; 0xf8uy; 0x0fuy; 0x64uy; 0xafuy; 0x46uy; 0xe4uy; 0x65uy; 0x99uy; 0x49uy; 0xe2uy; 0xeauy; 0xceuy; 0x78uy; 0x00uy; 0xd8uy; 0x8buy; 0xd5uy; 0x2euy; 0xcfuy; 0xfcuy; 0x40uy; 0x49uy; 0xe8uy; 0x58uy; 0xdcuy; 0x34uy; 0x9cuy; 0x8cuy; 0x61uy; 0xbfuy; 0x0auy; 0x8euy; 0xecuy; 0x39uy; 0xa9uy; 0x30uy; 0x05uy; 0x5auy; 0xd2uy; 0x56uy; 0x01uy; 0xc7uy; 0xdauy; 0x8fuy; 0x4euy; 0xbbuy; 0x43uy; 0xa3uy; 0x3auy; 0xf9uy; 0x15uy; 0x2auy; 0xd0uy; 0xa0uy; 0x7auy; 0x87uy; 0x34uy; 0x82uy; 0xfeuy; 0x8auy; 0xd1uy; 0x2duy; 0x5euy; 0xc7uy; 0xbfuy; 0x04uy; 0x53uy; 0x5fuy; 0x3buy; 0x36uy; 0xd4uy; 0x25uy; 0x5cuy; 0x34uy; 0x7auy; 0x8duy; 0xd5uy; 0x05uy; 0xceuy; 0x72uy; 0xcauy; 0xefuy; 0x7auy; 0x4buy; 0xbcuy; 0xb0uy; 0x10uy; 0x5cuy; 0x96uy; 0x42uy; 0x3auy; 0x00uy; 0x98uy; 0xcduy; 0x15uy; 0xe8uy; 0xb7uy; 0x53uy ] in assert_norm (List.Tot.length l = 272); B.gcmalloc_of_list HyperStack.root l
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.load_felem5
val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w
val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w
let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 360, "start_col": 0, "start_line": 354 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
lo: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> hi: Hacl.Spec.Poly1305.Field32xN.uint64xN w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map", "Lib.IntTypes.shift_right_i", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.IntVector.vec_shift_right", "FStar.UInt32.__uint_to_t", "Lib.IntVector.vec_and", "Hacl.Spec.Poly1305.Field32xN.mask26", "Lib.Sequence.map2", "Lib.IntTypes.logor", "Lib.IntVector.vec_shift_left", "Hacl.Spec.Poly1305.Field32xN.mask14", "Lib.IntVector.vec_or", "Hacl.Spec.Poly1305.Field32xN.felem5" ]
[]
false
false
false
false
false
let load_felem5 #w lo hi =
let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4)
false
Test.Vectors.Chacha20Poly1305.fst
Test.Vectors.Chacha20Poly1305.input6
val input6:(b: B.buffer UInt8.t {B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6})
val input6:(b: B.buffer UInt8.t {B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6})
let input6: (b: B.buffer UInt8.t { B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6 }) = B.recall aad6;[@inline_let] let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy; ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l
{ "file_name": "providers/test/vectors/Test.Vectors.Chacha20Poly1305.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 274, "start_col": 0, "start_line": 271 }
module Test.Vectors.Chacha20Poly1305 module B = LowStar.Buffer #set-options "--max_fuel 0 --max_ifuel 0" let key0: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x1cuy; 0x92uy; 0x40uy; 0xa5uy; 0xebuy; 0x55uy; 0xd3uy; 0x8auy; 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x04uy; 0xf6uy; 0xb5uy; 0xf0uy; 0x47uy; 0x39uy; 0x17uy; 0xc1uy; 0x40uy; 0x2buy; 0x80uy; 0x09uy; 0x9duy; 0xcauy; 0x5cuy; 0xbcuy; 0x20uy; 0x70uy; 0x75uy; 0xc0uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key0_len: (x:UInt32.t { UInt32.v x = B.length key0 }) = 32ul let nonce0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x01uy; 0x02uy; 0x03uy; 0x04uy; 0x05uy; 0x06uy; 0x07uy; 0x08uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce0_len: (x:UInt32.t { UInt32.v x = B.length nonce0 }) = 12ul let aad0: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0xf3uy; 0x33uy; 0x88uy; 0x86uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x4euy; 0x91uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad0_len: (x:UInt32.t { UInt32.v x = B.length aad0 }) = 12ul let input0: (b: B.buffer UInt8.t { B.length b = 265 /\ B.recallable b /\ B.disjoint b aad0 }) = B.recall aad0;[@inline_let] let l = [ 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x72uy; 0x65uy; 0x20uy; 0x64uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x76uy; 0x61uy; 0x6cuy; 0x69uy; 0x64uy; 0x20uy; 0x66uy; 0x6fuy; 0x72uy; 0x20uy; 0x61uy; 0x20uy; 0x6duy; 0x61uy; 0x78uy; 0x69uy; 0x6duy; 0x75uy; 0x6duy; 0x20uy; 0x6fuy; 0x66uy; 0x20uy; 0x73uy; 0x69uy; 0x78uy; 0x20uy; 0x6duy; 0x6fuy; 0x6euy; 0x74uy; 0x68uy; 0x73uy; 0x20uy; 0x61uy; 0x6euy; 0x64uy; 0x20uy; 0x6duy; 0x61uy; 0x79uy; 0x20uy; 0x62uy; 0x65uy; 0x20uy; 0x75uy; 0x70uy; 0x64uy; 0x61uy; 0x74uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x72uy; 0x65uy; 0x70uy; 0x6cuy; 0x61uy; 0x63uy; 0x65uy; 0x64uy; 0x2cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x6fuy; 0x62uy; 0x73uy; 0x6fuy; 0x6cuy; 0x65uy; 0x74uy; 0x65uy; 0x64uy; 0x20uy; 0x62uy; 0x79uy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x64uy; 0x6fuy; 0x63uy; 0x75uy; 0x6duy; 0x65uy; 0x6euy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x74uy; 0x20uy; 0x61uy; 0x6euy; 0x79uy; 0x20uy; 0x74uy; 0x69uy; 0x6duy; 0x65uy; 0x2euy; 0x20uy; 0x49uy; 0x74uy; 0x20uy; 0x69uy; 0x73uy; 0x20uy; 0x69uy; 0x6euy; 0x61uy; 0x70uy; 0x70uy; 0x72uy; 0x6fuy; 0x70uy; 0x72uy; 0x69uy; 0x61uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x75uy; 0x73uy; 0x65uy; 0x20uy; 0x49uy; 0x6euy; 0x74uy; 0x65uy; 0x72uy; 0x6euy; 0x65uy; 0x74uy; 0x2duy; 0x44uy; 0x72uy; 0x61uy; 0x66uy; 0x74uy; 0x73uy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x72uy; 0x65uy; 0x66uy; 0x65uy; 0x72uy; 0x65uy; 0x6euy; 0x63uy; 0x65uy; 0x20uy; 0x6duy; 0x61uy; 0x74uy; 0x65uy; 0x72uy; 0x69uy; 0x61uy; 0x6cuy; 0x20uy; 0x6fuy; 0x72uy; 0x20uy; 0x74uy; 0x6fuy; 0x20uy; 0x63uy; 0x69uy; 0x74uy; 0x65uy; 0x20uy; 0x74uy; 0x68uy; 0x65uy; 0x6duy; 0x20uy; 0x6fuy; 0x74uy; 0x68uy; 0x65uy; 0x72uy; 0x20uy; 0x74uy; 0x68uy; 0x61uy; 0x6euy; 0x20uy; 0x61uy; 0x73uy; 0x20uy; 0x2fuy; 0xe2uy; 0x80uy; 0x9cuy; 0x77uy; 0x6fuy; 0x72uy; 0x6buy; 0x20uy; 0x69uy; 0x6euy; 0x20uy; 0x70uy; 0x72uy; 0x6fuy; 0x67uy; 0x72uy; 0x65uy; 0x73uy; 0x73uy; 0x2euy; 0x2fuy; 0xe2uy; 0x80uy; 0x9duy; ] in assert_norm (List.Tot.length l = 265); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input0_len: (x:UInt32.t { UInt32.v x = B.length input0 }) = 265ul let output0: (b: B.buffer UInt8.t { B.length b = 281 /\ B.recallable b }) = [@inline_let] let l = [ 0x64uy; 0xa0uy; 0x86uy; 0x15uy; 0x75uy; 0x86uy; 0x1auy; 0xf4uy; 0x60uy; 0xf0uy; 0x62uy; 0xc7uy; 0x9buy; 0xe6uy; 0x43uy; 0xbduy; 0x5euy; 0x80uy; 0x5cuy; 0xfduy; 0x34uy; 0x5cuy; 0xf3uy; 0x89uy; 0xf1uy; 0x08uy; 0x67uy; 0x0auy; 0xc7uy; 0x6cuy; 0x8cuy; 0xb2uy; 0x4cuy; 0x6cuy; 0xfcuy; 0x18uy; 0x75uy; 0x5duy; 0x43uy; 0xeeuy; 0xa0uy; 0x9euy; 0xe9uy; 0x4euy; 0x38uy; 0x2duy; 0x26uy; 0xb0uy; 0xbduy; 0xb7uy; 0xb7uy; 0x3cuy; 0x32uy; 0x1buy; 0x01uy; 0x00uy; 0xd4uy; 0xf0uy; 0x3buy; 0x7fuy; 0x35uy; 0x58uy; 0x94uy; 0xcfuy; 0x33uy; 0x2fuy; 0x83uy; 0x0euy; 0x71uy; 0x0buy; 0x97uy; 0xceuy; 0x98uy; 0xc8uy; 0xa8uy; 0x4auy; 0xbduy; 0x0buy; 0x94uy; 0x81uy; 0x14uy; 0xaduy; 0x17uy; 0x6euy; 0x00uy; 0x8duy; 0x33uy; 0xbduy; 0x60uy; 0xf9uy; 0x82uy; 0xb1uy; 0xffuy; 0x37uy; 0xc8uy; 0x55uy; 0x97uy; 0x97uy; 0xa0uy; 0x6euy; 0xf4uy; 0xf0uy; 0xefuy; 0x61uy; 0xc1uy; 0x86uy; 0x32uy; 0x4euy; 0x2buy; 0x35uy; 0x06uy; 0x38uy; 0x36uy; 0x06uy; 0x90uy; 0x7buy; 0x6auy; 0x7cuy; 0x02uy; 0xb0uy; 0xf9uy; 0xf6uy; 0x15uy; 0x7buy; 0x53uy; 0xc8uy; 0x67uy; 0xe4uy; 0xb9uy; 0x16uy; 0x6cuy; 0x76uy; 0x7buy; 0x80uy; 0x4duy; 0x46uy; 0xa5uy; 0x9buy; 0x52uy; 0x16uy; 0xcduy; 0xe7uy; 0xa4uy; 0xe9uy; 0x90uy; 0x40uy; 0xc5uy; 0xa4uy; 0x04uy; 0x33uy; 0x22uy; 0x5euy; 0xe2uy; 0x82uy; 0xa1uy; 0xb0uy; 0xa0uy; 0x6cuy; 0x52uy; 0x3euy; 0xafuy; 0x45uy; 0x34uy; 0xd7uy; 0xf8uy; 0x3fuy; 0xa1uy; 0x15uy; 0x5buy; 0x00uy; 0x47uy; 0x71uy; 0x8cuy; 0xbcuy; 0x54uy; 0x6auy; 0x0duy; 0x07uy; 0x2buy; 0x04uy; 0xb3uy; 0x56uy; 0x4euy; 0xeauy; 0x1buy; 0x42uy; 0x22uy; 0x73uy; 0xf5uy; 0x48uy; 0x27uy; 0x1auy; 0x0buy; 0xb2uy; 0x31uy; 0x60uy; 0x53uy; 0xfauy; 0x76uy; 0x99uy; 0x19uy; 0x55uy; 0xebuy; 0xd6uy; 0x31uy; 0x59uy; 0x43uy; 0x4euy; 0xceuy; 0xbbuy; 0x4euy; 0x46uy; 0x6duy; 0xaeuy; 0x5auy; 0x10uy; 0x73uy; 0xa6uy; 0x72uy; 0x76uy; 0x27uy; 0x09uy; 0x7auy; 0x10uy; 0x49uy; 0xe6uy; 0x17uy; 0xd9uy; 0x1duy; 0x36uy; 0x10uy; 0x94uy; 0xfauy; 0x68uy; 0xf0uy; 0xffuy; 0x77uy; 0x98uy; 0x71uy; 0x30uy; 0x30uy; 0x5buy; 0xeauy; 0xbauy; 0x2euy; 0xdauy; 0x04uy; 0xdfuy; 0x99uy; 0x7buy; 0x71uy; 0x4duy; 0x6cuy; 0x6fuy; 0x2cuy; 0x29uy; 0xa6uy; 0xaduy; 0x5cuy; 0xb4uy; 0x02uy; 0x2buy; 0x02uy; 0x70uy; 0x9buy; 0xeeuy; 0xaduy; 0x9duy; 0x67uy; 0x89uy; 0x0cuy; 0xbbuy; 0x22uy; 0x39uy; 0x23uy; 0x36uy; 0xfeuy; 0xa1uy; 0x85uy; 0x1fuy; 0x38uy; ] in assert_norm (List.Tot.length l = 281); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output0_len: (x:UInt32.t { UInt32.v x = B.length output0 }) = 281ul let key1: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4cuy; 0xf5uy; 0x96uy; 0x83uy; 0x38uy; 0xe6uy; 0xaeuy; 0x7fuy; 0x2duy; 0x29uy; 0x25uy; 0x76uy; 0xd5uy; 0x75uy; 0x27uy; 0x86uy; 0x91uy; 0x9auy; 0x27uy; 0x7auy; 0xfbuy; 0x46uy; 0xc5uy; 0xefuy; 0x94uy; 0x81uy; 0x79uy; 0x57uy; 0x14uy; 0x59uy; 0x40uy; 0x68uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key1_len: (x:UInt32.t { UInt32.v x = B.length key1 }) = 32ul let nonce1: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xcauy; 0xbfuy; 0x33uy; 0x71uy; 0x32uy; 0x45uy; 0x77uy; 0x8euy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce1_len: (x:UInt32.t { UInt32.v x = B.length nonce1 }) = 12ul let aad1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad1_len: (x:UInt32.t { UInt32.v x = B.length aad1 }) = 0ul let input1: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad1 }) = B.recall aad1;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input1_len: (x:UInt32.t { UInt32.v x = B.length input1 }) = 0ul let output1: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xeauy; 0xe0uy; 0x1euy; 0x9euy; 0x2cuy; 0x91uy; 0xaauy; 0xe1uy; 0xdbuy; 0x5duy; 0x99uy; 0x3fuy; 0x8auy; 0xf7uy; 0x69uy; 0x92uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output1_len: (x:UInt32.t { UInt32.v x = B.length output1 }) = 16ul let key2: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x2duy; 0xb0uy; 0x5duy; 0x40uy; 0xc8uy; 0xeduy; 0x44uy; 0x88uy; 0x34uy; 0xd1uy; 0x13uy; 0xafuy; 0x57uy; 0xa1uy; 0xebuy; 0x3auy; 0x2auy; 0x80uy; 0x51uy; 0x36uy; 0xecuy; 0x5buy; 0xbcuy; 0x08uy; 0x93uy; 0x84uy; 0x21uy; 0xb5uy; 0x13uy; 0x88uy; 0x3cuy; 0x0duy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key2_len: (x:UInt32.t { UInt32.v x = B.length key2 }) = 32ul let nonce2: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x3duy; 0x86uy; 0xb5uy; 0x6buy; 0xc8uy; 0xa3uy; 0x1fuy; 0x1duy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce2_len: (x:UInt32.t { UInt32.v x = B.length nonce2 }) = 12ul let aad2: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x33uy; 0x10uy; 0x41uy; 0x12uy; 0x1fuy; 0xf3uy; 0xd2uy; 0x6buy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad2_len: (x:UInt32.t { UInt32.v x = B.length aad2 }) = 8ul let input2: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b /\ B.disjoint b aad2 }) = B.recall aad2;[@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input2_len: (x:UInt32.t { UInt32.v x = B.length input2 }) = 0ul let output2: (b: B.buffer UInt8.t { B.length b = 16 /\ B.recallable b }) = [@inline_let] let l = [ 0xdduy; 0x6buy; 0x3buy; 0x82uy; 0xceuy; 0x5auy; 0xbduy; 0xd6uy; 0xa9uy; 0x35uy; 0x83uy; 0xd8uy; 0x8cuy; 0x3duy; 0x85uy; 0x77uy; ] in assert_norm (List.Tot.length l = 16); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output2_len: (x:UInt32.t { UInt32.v x = B.length output2 }) = 16ul let key3: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x4buy; 0x28uy; 0x4buy; 0xa3uy; 0x7buy; 0xbeuy; 0xe9uy; 0xf8uy; 0x31uy; 0x80uy; 0x82uy; 0xd7uy; 0xd8uy; 0xe8uy; 0xb5uy; 0xa1uy; 0xe2uy; 0x18uy; 0x18uy; 0x8auy; 0x9cuy; 0xfauy; 0xa3uy; 0x3duy; 0x25uy; 0x71uy; 0x3euy; 0x40uy; 0xbcuy; 0x54uy; 0x7auy; 0x3euy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key3_len: (x:UInt32.t { UInt32.v x = B.length key3 }) = 32ul let nonce3: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xd2uy; 0x32uy; 0x1fuy; 0x29uy; 0x28uy; 0xc6uy; 0xc4uy; 0xc4uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce3_len: (x:UInt32.t { UInt32.v x = B.length nonce3 }) = 12ul let aad3: (b: B.buffer UInt8.t { B.length b = 8 /\ B.recallable b }) = [@inline_let] let l = [ 0x6auy; 0xe2uy; 0xaduy; 0x3fuy; 0x88uy; 0x39uy; 0x5auy; 0x40uy; ] in assert_norm (List.Tot.length l = 8); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad3_len: (x:UInt32.t { UInt32.v x = B.length aad3 }) = 8ul let input3: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad3 }) = B.recall aad3;[@inline_let] let l = [ 0xa4uy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input3_len: (x:UInt32.t { UInt32.v x = B.length input3 }) = 1ul let output3: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xb7uy; 0x1buy; 0xb0uy; 0x73uy; 0x59uy; 0xb0uy; 0x84uy; 0xb2uy; 0x6duy; 0x8euy; 0xabuy; 0x94uy; 0x31uy; 0xa1uy; 0xaeuy; 0xacuy; 0x89uy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output3_len: (x:UInt32.t { UInt32.v x = B.length output3 }) = 17ul let key4: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x66uy; 0xcauy; 0x9cuy; 0x23uy; 0x2auy; 0x4buy; 0x4buy; 0x31uy; 0x0euy; 0x92uy; 0x89uy; 0x8buy; 0xf4uy; 0x93uy; 0xc7uy; 0x87uy; 0x98uy; 0xa3uy; 0xd8uy; 0x39uy; 0xf8uy; 0xf4uy; 0xa7uy; 0x01uy; 0xc0uy; 0x2euy; 0x0auy; 0xa6uy; 0x7euy; 0x5auy; 0x78uy; 0x87uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key4_len: (x:UInt32.t { UInt32.v x = B.length key4 }) = 32ul let nonce4: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0x20uy; 0x1cuy; 0xaauy; 0x5fuy; 0x9cuy; 0xbfuy; 0x92uy; 0x30uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce4_len: (x:UInt32.t { UInt32.v x = B.length nonce4 }) = 12ul let aad4: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad4_len: (x:UInt32.t { UInt32.v x = B.length aad4 }) = 0ul let input4: (b: B.buffer UInt8.t { B.length b = 1 /\ B.recallable b /\ B.disjoint b aad4 }) = B.recall aad4;[@inline_let] let l = [ 0x2duy; ] in assert_norm (List.Tot.length l = 1); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input4_len: (x:UInt32.t { UInt32.v x = B.length input4 }) = 1ul let output4: (b: B.buffer UInt8.t { B.length b = 17 /\ B.recallable b }) = [@inline_let] let l = [ 0xbfuy; 0xe1uy; 0x5buy; 0x0buy; 0xdbuy; 0x6buy; 0xf5uy; 0x5euy; 0x6cuy; 0x5duy; 0x84uy; 0x44uy; 0x39uy; 0x81uy; 0xc1uy; 0x9cuy; 0xacuy; ] in assert_norm (List.Tot.length l = 17); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output4_len: (x:UInt32.t { UInt32.v x = B.length output4 }) = 17ul let key5: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x68uy; 0x7buy; 0x8duy; 0x8euy; 0xe3uy; 0xc4uy; 0xdduy; 0xaeuy; 0xdfuy; 0x72uy; 0x7fuy; 0x53uy; 0x72uy; 0x25uy; 0x1euy; 0x78uy; 0x91uy; 0xcbuy; 0x69uy; 0x76uy; 0x1fuy; 0x49uy; 0x93uy; 0xf9uy; 0x6fuy; 0x21uy; 0xccuy; 0x39uy; 0x9cuy; 0xaduy; 0xb1uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key5_len: (x:UInt32.t { UInt32.v x = B.length key5 }) = 32ul let nonce5: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdfuy; 0x51uy; 0x84uy; 0x82uy; 0x42uy; 0x0cuy; 0x75uy; 0x9cuy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce5_len: (x:UInt32.t { UInt32.v x = B.length nonce5 }) = 12ul let aad5: (b: B.buffer UInt8.t { B.length b = 7 /\ B.recallable b }) = [@inline_let] let l = [ 0x70uy; 0xd3uy; 0x33uy; 0xf3uy; 0x8buy; 0x18uy; 0x0buy; ] in assert_norm (List.Tot.length l = 7); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad5_len: (x:UInt32.t { UInt32.v x = B.length aad5 }) = 7ul let input5: (b: B.buffer UInt8.t { B.length b = 129 /\ B.recallable b /\ B.disjoint b aad5 }) = B.recall aad5;[@inline_let] let l = [ 0x33uy; 0x2fuy; 0x94uy; 0xc1uy; 0xa4uy; 0xefuy; 0xccuy; 0x2auy; 0x5buy; 0xa6uy; 0xe5uy; 0x8fuy; 0x1duy; 0x40uy; 0xf0uy; 0x92uy; 0x3cuy; 0xd9uy; 0x24uy; 0x11uy; 0xa9uy; 0x71uy; 0xf9uy; 0x37uy; 0x14uy; 0x99uy; 0xfauy; 0xbeuy; 0xe6uy; 0x80uy; 0xdeuy; 0x50uy; 0xc9uy; 0x96uy; 0xd4uy; 0xb0uy; 0xecuy; 0x9euy; 0x17uy; 0xecuy; 0xd2uy; 0x5euy; 0x72uy; 0x99uy; 0xfcuy; 0x0auy; 0xe1uy; 0xcbuy; 0x48uy; 0xd2uy; 0x85uy; 0xdduy; 0x2fuy; 0x90uy; 0xe0uy; 0x66uy; 0x3buy; 0xe6uy; 0x20uy; 0x74uy; 0xbeuy; 0x23uy; 0x8fuy; 0xcbuy; 0xb4uy; 0xe4uy; 0xdauy; 0x48uy; 0x40uy; 0xa6uy; 0xd1uy; 0x1buy; 0xc7uy; 0x42uy; 0xceuy; 0x2fuy; 0x0cuy; 0xa6uy; 0x85uy; 0x6euy; 0x87uy; 0x37uy; 0x03uy; 0xb1uy; 0x7cuy; 0x25uy; 0x96uy; 0xa3uy; 0x05uy; 0xd8uy; 0xb0uy; 0xf4uy; 0xeduy; 0xeauy; 0xc2uy; 0xf0uy; 0x31uy; 0x98uy; 0x6cuy; 0xd1uy; 0x14uy; 0x25uy; 0xc0uy; 0xcbuy; 0x01uy; 0x74uy; 0xd0uy; 0x82uy; 0xf4uy; 0x36uy; 0xf5uy; 0x41uy; 0xd5uy; 0xdcuy; 0xcauy; 0xc5uy; 0xbbuy; 0x98uy; 0xfeuy; 0xfcuy; 0x69uy; 0x21uy; 0x70uy; 0xd8uy; 0xa4uy; 0x4buy; 0xc8uy; 0xdeuy; 0x8fuy; ] in assert_norm (List.Tot.length l = 129); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let input5_len: (x:UInt32.t { UInt32.v x = B.length input5 }) = 129ul let output5: (b: B.buffer UInt8.t { B.length b = 145 /\ B.recallable b }) = [@inline_let] let l = [ 0x8buy; 0x06uy; 0xd3uy; 0x31uy; 0xb0uy; 0x93uy; 0x45uy; 0xb1uy; 0x75uy; 0x6euy; 0x26uy; 0xf9uy; 0x67uy; 0xbcuy; 0x90uy; 0x15uy; 0x81uy; 0x2cuy; 0xb5uy; 0xf0uy; 0xc6uy; 0x2buy; 0xc7uy; 0x8cuy; 0x56uy; 0xd1uy; 0xbfuy; 0x69uy; 0x6cuy; 0x07uy; 0xa0uy; 0xdauy; 0x65uy; 0x27uy; 0xc9uy; 0x90uy; 0x3duy; 0xefuy; 0x4buy; 0x11uy; 0x0fuy; 0x19uy; 0x07uy; 0xfduy; 0x29uy; 0x92uy; 0xd9uy; 0xc8uy; 0xf7uy; 0x99uy; 0x2euy; 0x4auy; 0xd0uy; 0xb8uy; 0x2cuy; 0xdcuy; 0x93uy; 0xf5uy; 0x9euy; 0x33uy; 0x78uy; 0xd1uy; 0x37uy; 0xc3uy; 0x66uy; 0xd7uy; 0x5euy; 0xbcuy; 0x44uy; 0xbfuy; 0x53uy; 0xa5uy; 0xbcuy; 0xc4uy; 0xcbuy; 0x7buy; 0x3auy; 0x8euy; 0x7fuy; 0x02uy; 0xbduy; 0xbbuy; 0xe7uy; 0xcauy; 0xa6uy; 0x6cuy; 0x6buy; 0x93uy; 0x21uy; 0x93uy; 0x10uy; 0x61uy; 0xe7uy; 0x69uy; 0xd0uy; 0x78uy; 0xf3uy; 0x07uy; 0x5auy; 0x1auy; 0x8fuy; 0x73uy; 0xaauy; 0xb1uy; 0x4euy; 0xd3uy; 0xdauy; 0x4fuy; 0xf3uy; 0x32uy; 0xe1uy; 0x66uy; 0x3euy; 0x6cuy; 0xc6uy; 0x13uy; 0xbauy; 0x06uy; 0x5buy; 0xfcuy; 0x6auy; 0xe5uy; 0x6fuy; 0x60uy; 0xfbuy; 0x07uy; 0x40uy; 0xb0uy; 0x8cuy; 0x9duy; 0x84uy; 0x43uy; 0x6buy; 0xc1uy; 0xf7uy; 0x8duy; 0x8duy; 0x31uy; 0xf7uy; 0x7auy; 0x39uy; 0x4duy; 0x8fuy; 0x9auy; 0xebuy; ] in assert_norm (List.Tot.length l = 145); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let output5_len: (x:UInt32.t { UInt32.v x = B.length output5 }) = 145ul let key6: (b: B.buffer UInt8.t { B.length b = 32 /\ B.recallable b }) = [@inline_let] let l = [ 0x8duy; 0xb8uy; 0x91uy; 0x48uy; 0xf0uy; 0xe7uy; 0x0auy; 0xbduy; 0xf9uy; 0x3fuy; 0xcduy; 0xd9uy; 0xa0uy; 0x1euy; 0x42uy; 0x4cuy; 0xe7uy; 0xdeuy; 0x25uy; 0x3duy; 0xa3uy; 0xd7uy; 0x05uy; 0x80uy; 0x8duy; 0xf2uy; 0x82uy; 0xacuy; 0x44uy; 0x16uy; 0x51uy; 0x01uy; ] in assert_norm (List.Tot.length l = 32); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let key6_len: (x:UInt32.t { UInt32.v x = B.length key6 }) = 32ul let nonce6: (b: B.buffer UInt8.t { B.length b = 12 /\ B.recallable b }) = [@inline_let] let l = [ 0x00uy; 0x00uy; 0x00uy; 0x00uy; 0xdeuy; 0x7buy; 0xefuy; 0xc3uy; 0x65uy; 0x1buy; 0x68uy; 0xb0uy; ] in assert_norm (List.Tot.length l = 12); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let nonce6_len: (x:UInt32.t { UInt32.v x = B.length nonce6 }) = 12ul let aad6: (b: B.buffer UInt8.t { B.length b = 0 /\ B.recallable b }) = [@inline_let] let l = [ ] in assert_norm (List.Tot.length l = 0); B.gcmalloc_of_list HyperStack.root l inline_for_extraction let aad6_len: (x:UInt32.t { UInt32.v x = B.length aad6 }) = 0ul
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.Buffer.fst.checked", "FStar.UInt8.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.List.Tot.fst.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Test.Vectors.Chacha20Poly1305.fst" }
[ { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Test.Vectors", "short_module": null }, { "abbrev": false, "full_module": "Test.Vectors", "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": 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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
b: LowStar.Buffer.buffer FStar.UInt8.t { LowStar.Monotonic.Buffer.length b = 256 /\ LowStar.Monotonic.Buffer.recallable b /\ LowStar.Monotonic.Buffer.disjoint b Test.Vectors.Chacha20Poly1305.aad6 }
Prims.Tot
[ "total" ]
[]
[ "LowStar.Buffer.gcmalloc_of_list", "FStar.UInt8.t", "FStar.Monotonic.HyperHeap.root", "LowStar.Monotonic.Buffer.mbuffer", "LowStar.Buffer.trivial_preorder", "Prims.l_and", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "FStar.Pervasives.normalize_term", "FStar.List.Tot.Base.length", "Prims.b2t", "Prims.op_Negation", "LowStar.Monotonic.Buffer.g_is_null", "FStar.Monotonic.HyperHeap.rid", "LowStar.Monotonic.Buffer.frameOf", "LowStar.Monotonic.Buffer.recallable", "Prims.unit", "FStar.Pervasives.assert_norm", "Prims.op_Equality", "Prims.int", "LowStar.Buffer.buffer", "LowStar.Monotonic.Buffer.disjoint", "Test.Vectors.Chacha20Poly1305.aad6", "Prims.list", "Prims.Cons", "FStar.UInt8.__uint_to_t", "Prims.Nil", "LowStar.Monotonic.Buffer.recall" ]
[]
false
false
false
false
false
let input6:(b: B.buffer UInt8.t {B.length b = 256 /\ B.recallable b /\ B.disjoint b aad6}) =
B.recall aad6; [@@ inline_let ]let l = [ 0x9buy; 0x18uy; 0xdbuy; 0xdduy; 0x9auy; 0x0fuy; 0x3euy; 0xa5uy; 0x15uy; 0x17uy; 0xdeuy; 0xdfuy; 0x08uy; 0x9duy; 0x65uy; 0x0auy; 0x67uy; 0x30uy; 0x12uy; 0xe2uy; 0x34uy; 0x77uy; 0x4buy; 0xc1uy; 0xd9uy; 0xc6uy; 0x1fuy; 0xabuy; 0xc6uy; 0x18uy; 0x50uy; 0x17uy; 0xa7uy; 0x9duy; 0x3cuy; 0xa6uy; 0xc5uy; 0x35uy; 0x8cuy; 0x1cuy; 0xc0uy; 0xa1uy; 0x7cuy; 0x9fuy; 0x03uy; 0x89uy; 0xcauy; 0xe1uy; 0xe6uy; 0xe9uy; 0xd4uy; 0xd3uy; 0x88uy; 0xdbuy; 0xb4uy; 0x51uy; 0x9duy; 0xecuy; 0xb4uy; 0xfcuy; 0x52uy; 0xeeuy; 0x6duy; 0xf1uy; 0x75uy; 0x42uy; 0xc6uy; 0xfduy; 0xbduy; 0x7auy; 0x8euy; 0x86uy; 0xfcuy; 0x44uy; 0xb3uy; 0x4fuy; 0xf3uy; 0xeauy; 0x67uy; 0x5auy; 0x41uy; 0x13uy; 0xbauy; 0xb0uy; 0xdcuy; 0xe1uy; 0xd3uy; 0x2auy; 0x7cuy; 0x22uy; 0xb3uy; 0xcauy; 0xacuy; 0x6auy; 0x37uy; 0x98uy; 0x3euy; 0x1duy; 0x40uy; 0x97uy; 0xf7uy; 0x9buy; 0x1duy; 0x36uy; 0x6buy; 0xb3uy; 0x28uy; 0xbduy; 0x60uy; 0x82uy; 0x47uy; 0x34uy; 0xaauy; 0x2fuy; 0x7duy; 0xe9uy; 0xa8uy; 0x70uy; 0x81uy; 0x57uy; 0xd4uy; 0xb9uy; 0x77uy; 0x0auy; 0x9duy; 0x29uy; 0xa7uy; 0x84uy; 0x52uy; 0x4fuy; 0xc2uy; 0x4auy; 0x40uy; 0x3buy; 0x3cuy; 0xd4uy; 0xc9uy; 0x2auy; 0xdbuy; 0x4auy; 0x53uy; 0xc4uy; 0xbeuy; 0x80uy; 0xe9uy; 0x51uy; 0x7fuy; 0x8fuy; 0xc7uy; 0xa2uy; 0xceuy; 0x82uy; 0x5cuy; 0x91uy; 0x1euy; 0x74uy; 0xd9uy; 0xd0uy; 0xbduy; 0xd5uy; 0xf3uy; 0xfduy; 0xdauy; 0x4duy; 0x25uy; 0xb4uy; 0xbbuy; 0x2duy; 0xacuy; 0x2fuy; 0x3duy; 0x71uy; 0x85uy; 0x7buy; 0xcfuy; 0x3cuy; 0x7buy; 0x3euy; 0x0euy; 0x22uy; 0x78uy; 0x0cuy; 0x29uy; 0xbfuy; 0xe4uy; 0xf4uy; 0x57uy; 0xb3uy; 0xcbuy; 0x49uy; 0xa0uy; 0xfcuy; 0x1euy; 0x05uy; 0x4euy; 0x16uy; 0xbcuy; 0xd5uy; 0xa8uy; 0xa3uy; 0xeeuy; 0x05uy; 0x35uy; 0xc6uy; 0x7cuy; 0xabuy; 0x60uy; 0x14uy; 0x55uy; 0x1auy; 0x8euy; 0xc5uy; 0x88uy; 0x5duy; 0xd5uy; 0x81uy; 0xc2uy; 0x81uy; 0xa5uy; 0xc4uy; 0x60uy; 0xdbuy; 0xafuy; 0x77uy; 0x91uy; 0xe1uy; 0xceuy; 0xa2uy; 0x7euy; 0x7fuy; 0x42uy; 0xe3uy; 0xb0uy; 0x13uy; 0x1cuy; 0x1fuy; 0x25uy; 0x60uy; 0x21uy; 0xe2uy; 0x40uy; 0x5fuy; 0x99uy; 0xb7uy; 0x73uy; 0xecuy; 0x9buy; 0x2buy; 0xf0uy; 0x65uy; 0x11uy; 0xc8uy; 0xd0uy; 0x0auy; 0x9fuy; 0xd3uy ] in assert_norm (List.Tot.length l = 256); B.gcmalloc_of_list HyperStack.root l
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.carry_full_felem5
val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w
val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w
let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 33, "end_line": 313, "start_col": 0, "start_line": 305 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
inp: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_add_mod", "Lib.IntVector.vec_smul_mod", "Lib.IntTypes.u64", "FStar.Pervasives.Native.tuple2", "Hacl.Spec.Poly1305.Field32xN.carry26", "Hacl.Spec.Poly1305.Field32xN.zero" ]
[]
false
false
false
false
false
let carry_full_felem5 #w (f0, f1, f2, f3, f4) =
let tmp0, c0 = carry26 f0 (zero w) in let tmp1, c1 = carry26 f1 c0 in let tmp2, c2 = carry26 f2 c1 in let tmp3, c3 = carry26 f3 c2 in let tmp4, c4 = carry26 f4 c3 in [@@ inline_let ]let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.store_felem5
val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64
val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64
let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 8, "end_line": 422, "start_col": 0, "start_line": 418 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Lib.IntTypes.uint64 * Lib.IntTypes.uint64
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.IntTypes.int_t", "Lib.IntTypes.U64", "Lib.IntTypes.SEC", "FStar.Pervasives.Native.Mktuple2", "Lib.IntTypes.uint64", "Lib.IntTypes.op_Bar_Dot", "Lib.IntTypes.op_Greater_Greater_Dot", "FStar.UInt32.__uint_to_t", "Lib.IntTypes.op_Less_Less_Dot", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.tuple5", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_get" ]
[]
false
false
false
false
false
let store_felem5 #w (f0, f1, f2, f3, f4) =
let f0, f1, f2, f3, f4 = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.carry_wide_felem5
val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w
val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w
let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 470, "start_col": 0, "start_line": 437 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
inp: Hacl.Spec.Poly1305.Field32xN.felem_wide5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem_wide5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_add_mod", "Lib.IntVector.vec_and", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map", "Lib.IntTypes.shift_right_i", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.IntVector.vec_shift_right", "FStar.UInt32.__uint_to_t", "Lib.IntTypes.shift_left_i", "Lib.IntVector.vec_shift_left", "Lib.Sequence.create", "Lib.IntTypes.mk_int", "Hacl.Spec.Poly1305.Field32xN.mask26", "Hacl.Spec.Poly1305.Field32xN.felem5" ]
[]
false
false
false
false
false
let carry_wide_felem5 #w (x0, x1, x2, x3, x4) =
let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.subtract_p5
val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w
val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w
let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 336, "start_col": 0, "start_line": 321 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 w -> Hacl.Spec.Poly1305.Field32xN.felem5 w
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Hacl.Spec.Poly1305.Field32xN.felem5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map2", "Lib.IntTypes.sub_mod", "Lib.IntVector.vec_sub_mod", "Lib.IntVector.vec_and", "Lib.IntVector.vec_gte_mask", "Lib.IntVector.vec_eq_mask", "Lib.IntTypes.eq_mask", "Lib.Sequence.create", "Lib.IntTypes.mk_int", "Lib.IntVector.vec_load", "Lib.IntTypes.u64" ]
[]
false
false
false
false
false
let subtract_p5 #w (f0, f1, f2, f3, f4) =
let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fmul_r2_normalize5
val fmul_r2_normalize5: acc:felem5 2 -> r:felem5 2 -> r2:felem5 2 -> felem5 2
val fmul_r2_normalize5: acc:felem5 2 -> r:felem5 2 -> r2:felem5 2 -> felem5 2
let fmul_r2_normalize5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r20, r21, r22, r23, r24) = let r20 = vec_interleave_low r20 r0 in let r21 = vec_interleave_low r21 r1 in let r22 = vec_interleave_low r22 r2 in let r23 = vec_interleave_low r23 r3 in let r24 = vec_interleave_low r24 r4 in let (r250, r251, r252, r253, r254) = precomp_r5 #2 (r20, r21, r22, r23, r24) in let (o0, o1, o2, o3, o4) = fmul_r5 #2 (a0, a1, a2, a3, a4) (r20, r21, r22, r23, r24) (r250, r251, r252, r253, r254) in let o0 = vec_add_mod o0 (vec_interleave_high o0 o0) in let o1 = vec_add_mod o1 (vec_interleave_high o1 o1) in let o2 = vec_add_mod o2 (vec_interleave_high o2 o2) in let o3 = vec_add_mod o3 (vec_interleave_high o3 o3) in let o4 = vec_add_mod o4 (vec_interleave_high o4 o4) in carry_full_felem5 (o0, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 529, "start_col": 0, "start_line": 514 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (a0, a1, a2, a3, a4) = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let (t0, t1, t2, t3, t4) = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w -> felem5 w let fmul_rn5 #w (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_r2_normalize5: acc:felem5 2 -> r:felem5 2 -> r2:felem5 2
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
acc: Hacl.Spec.Poly1305.Field32xN.felem5 2 -> r: Hacl.Spec.Poly1305.Field32xN.felem5 2 -> r2: Hacl.Spec.Poly1305.Field32xN.felem5 2 -> Hacl.Spec.Poly1305.Field32xN.felem5 2
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple3", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry_full_felem5", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_add_mod", "Lib.IntVector.vec_interleave_high", "Hacl.Spec.Poly1305.Field32xN.fmul_r5", "Hacl.Spec.Poly1305.Field32xN.precomp_r5", "Lib.IntVector.vec_interleave_low" ]
[]
false
false
false
false
false
let fmul_r2_normalize5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r20, r21, r22, r23, r24) =
let r20 = vec_interleave_low r20 r0 in let r21 = vec_interleave_low r21 r1 in let r22 = vec_interleave_low r22 r2 in let r23 = vec_interleave_low r23 r3 in let r24 = vec_interleave_low r24 r4 in let r250, r251, r252, r253, r254 = precomp_r5 #2 (r20, r21, r22, r23, r24) in let o0, o1, o2, o3, o4 = fmul_r5 #2 (a0, a1, a2, a3, a4) (r20, r21, r22, r23, r24) (r250, r251, r252, r253, r254) in let o0 = vec_add_mod o0 (vec_interleave_high o0 o0) in let o1 = vec_add_mod o1 (vec_interleave_high o1 o1) in let o2 = vec_add_mod o2 (vec_interleave_high o2 o2) in let o3 = vec_add_mod o3 (vec_interleave_high o3 o3) in let o4 = vec_add_mod o4 (vec_interleave_high o4 o4) in carry_full_felem5 (o0, o1, o2, o3, o4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.load_acc5_2
val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2
val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2
let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 396, "start_col": 0, "start_line": 389 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 2 -> e: Hacl.Spec.Poly1305.Field32xN.felem5 2 -> Hacl.Spec.Poly1305.Field32xN.felem5 2
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.fadd5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.upd", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.IntTypes.mk_int", "Lib.IntVector.vec_set", "FStar.UInt32.__uint_to_t", "Lib.IntTypes.u64" ]
[]
false
false
false
false
false
let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) =
let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let f0, f1, f2, f3, f4 = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4)
false
Hacl.Streaming.Interface.fsti
Hacl.Streaming.Interface.optional_t
val optional_t (#index: _) (#i: index) (#km: key_management) (#key: stateful index) (h: HS.mem) (k: optional_key i km key) : GTot (key.t i)
val optional_t (#index: _) (#i: index) (#km: key_management) (#key: stateful index) (h: HS.mem) (k: optional_key i km key) : GTot (key.t i)
let optional_t #index (#i: index) (#km: key_management) (#key: stateful index) (h: HS.mem) (k: optional_key i km key): GTot (key.t i) = allow_inversion key_management; match km with | Erased -> G.reveal k | Runtime -> key.v i h k
{ "file_name": "code/streaming/Hacl.Streaming.Interface.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 26, "end_line": 196, "start_col": 0, "start_line": 185 }
module Hacl.Streaming.Interface open FStar.HyperStack.ST open FStar.Integers /// This is the interface that the streaming functor expects from a block-based /// API. We need to be abstract vis à vis the state representations of the /// underlying block-based API. For that, we use classic framing lemma and /// invariant preservation techniques used in EverCrypt and elsewhere. #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 100" module HS = FStar.HyperStack module ST = FStar.HyperStack.ST module B = LowStar.Buffer module G = FStar.Ghost module S = FStar.Seq module U32 = FStar.UInt32 module U64 = FStar.UInt64 open LowStar.BufferOps open FStar.Mul inline_for_extraction noextract let uint8 = Lib.IntTypes.uint8 inline_for_extraction noextract let uint32 = Lib.IntTypes.uint32 /// The type class of stateful types: a low-level representation, a high-level /// value, and a ``v`` function to switch between the two. /// /// The low-level representation needs to abide by all the important framing /// principles to allow clients to efficiently work with a ``stateful index``. /// /// More interestingly, we require some extra operations that arise in the /// process of manipulating instances of this type class: /// - the ability to allocate on the stack (useful for temporaries) /// - the ability to allocate on the heap (useful for retaining a copy of a stateful) /// - the ability to copy /// - a predicate that captures the fact that the invariant depends only on the /// footprint of the stateful, i.e. does not rely on some gcmalloc'd global /// state in the global scope. /// /// This may seem like a lot but actually most low-level representations satisfy /// these principles! inline_for_extraction noextract noeq type stateful (index: Type0) = | Stateful: // Low-level types s: (index -> Type0) -> // Astract footprint. footprint: (#i:index -> h:HS.mem -> s:s i -> GTot B.loc) -> freeable: (#i:index -> h:HS.mem -> p:s i -> Type) -> invariant: (#i:index -> h:HS.mem -> s:s i -> Type) -> // A pure representation of an s t: (index -> Type0) -> v: (i:index -> h:HS.mem -> s:s i -> GTot (t i)) -> // Adequate framing lemmas, relying on v. invariant_loc_in_footprint: (#i:index -> h:HS.mem -> s:s i -> Lemma (requires (invariant h s)) (ensures (B.loc_in (footprint #i h s) h)) [ SMTPat (invariant h s) ]) -> frame_invariant: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( invariant h1 s /\ v i h0 s == v i h1 s /\ footprint #i h1 s == footprint #i h0 s)) [ SMTPat (invariant h1 s); SMTPat (B.modifies l h0 h1) ]) -> frame_freeable: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ freeable h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( freeable h1 s)) [ SMTPat (freeable h1 s); SMTPat (B.modifies l h0 h1) ]) -> // Stateful operations alloca: (i:index -> StackInline (s i) (requires (fun _ -> True)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true (HS.get_tip h1)) (footprint #i h1 s))))) -> create_in: (i:index -> r:HS.rid -> ST (s i) (requires (fun h0 -> HyperStack.ST.is_eternal_region r)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true r) (footprint #i h1 s)) /\ freeable #i h1 s))) -> free: ( i: G.erased index -> ( let i = G.reveal i in s:s i -> ST unit (requires fun h0 -> freeable #i h0 s /\ invariant #i h0 s) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s) h0 h1)))) -> copy: ( i:G.erased index -> ( let i = G.reveal i in s_src:s i -> s_dst:s i -> Stack unit (requires (fun h0 -> invariant #i h0 s_src /\ invariant #i h0 s_dst /\ B.(loc_disjoint (footprint #i h0 s_src) (footprint #i h0 s_dst)))) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s_dst) h0 h1) /\ footprint #i h0 s_dst == footprint #i h1 s_dst /\ (freeable #i h0 s_dst ==> freeable #i h1 s_dst) /\ invariant #i h1 s_dst /\ v i h1 s_dst == v i h0 s_src))) -> stateful index inline_for_extraction noextract let stateful_buffer (a: Type) (l: UInt32.t { UInt32.v l > 0 }) (zero: a) (t: Type0): stateful t = Stateful (fun _ -> b:B.buffer a { B.len b == l }) (fun #_ h s -> B.loc_addr_of_buffer s) (fun #_ h s -> B.freeable s) (fun #_ h s -> B.live h s) (fun _ -> s:S.seq a { S.length s == UInt32.v l }) (fun _ h s -> B.as_seq h s) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> B.alloca zero l) (fun _ r -> B.malloc r zero l) (fun _ s -> B.free s) (fun _ s_src s_dst -> B.blit s_src 0ul s_dst 0ul l) inline_for_extraction noextract let stateful_unused (t: Type0): stateful t = Stateful (fun _ -> unit) (fun #_ h s -> B.loc_none) (fun #_ h s -> True) (fun #_ h s -> True) (fun _ -> unit) (fun _ h s -> ()) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> ()) (fun _ r -> ()) (fun _ s -> ()) (fun _ _ _ -> ()) type key_management = | Erased | Runtime inline_for_extraction noextract let optional_key #index (i: index) (km: key_management) (key: stateful index) = allow_inversion key_management; match km with | Erased -> G.erased (key.t i) | Runtime -> key.s i
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.BufferOps.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Integers.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Streaming.Interface.fsti" }
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "LowStar.BufferOps", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "FStar.Ghost", "short_module": "G" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "FStar.HyperStack", "short_module": "HS" }, { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "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": 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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
h: FStar.Monotonic.HyperStack.mem -> k: Hacl.Streaming.Interface.optional_key i km key -> Prims.GTot (Stateful?.t key i)
Prims.GTot
[ "sometrivial" ]
[]
[ "Hacl.Streaming.Interface.key_management", "Hacl.Streaming.Interface.stateful", "FStar.Monotonic.HyperStack.mem", "Hacl.Streaming.Interface.optional_key", "FStar.Ghost.reveal", "Hacl.Streaming.Interface.__proj__Stateful__item__t", "Hacl.Streaming.Interface.__proj__Stateful__item__v", "Prims.unit", "FStar.Pervasives.allow_inversion" ]
[]
false
false
false
false
false
let optional_t #index (#i: index) (#km: key_management) (#key: stateful index) (h: HS.mem) (k: optional_key i km key) : GTot (key.t i) =
allow_inversion key_management; match km with | Erased -> G.reveal k | Runtime -> key.v i h k
false
Hacl.Streaming.Interface.fsti
Hacl.Streaming.Interface.optional_key
val optional_key : i: index -> km: Hacl.Streaming.Interface.key_management -> key: Hacl.Streaming.Interface.stateful index -> Type0
let optional_key #index (i: index) (km: key_management) (key: stateful index) = allow_inversion key_management; match km with | Erased -> G.erased (key.t i) | Runtime -> key.s i
{ "file_name": "code/streaming/Hacl.Streaming.Interface.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 182, "start_col": 0, "start_line": 178 }
module Hacl.Streaming.Interface open FStar.HyperStack.ST open FStar.Integers /// This is the interface that the streaming functor expects from a block-based /// API. We need to be abstract vis à vis the state representations of the /// underlying block-based API. For that, we use classic framing lemma and /// invariant preservation techniques used in EverCrypt and elsewhere. #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 100" module HS = FStar.HyperStack module ST = FStar.HyperStack.ST module B = LowStar.Buffer module G = FStar.Ghost module S = FStar.Seq module U32 = FStar.UInt32 module U64 = FStar.UInt64 open LowStar.BufferOps open FStar.Mul inline_for_extraction noextract let uint8 = Lib.IntTypes.uint8 inline_for_extraction noextract let uint32 = Lib.IntTypes.uint32 /// The type class of stateful types: a low-level representation, a high-level /// value, and a ``v`` function to switch between the two. /// /// The low-level representation needs to abide by all the important framing /// principles to allow clients to efficiently work with a ``stateful index``. /// /// More interestingly, we require some extra operations that arise in the /// process of manipulating instances of this type class: /// - the ability to allocate on the stack (useful for temporaries) /// - the ability to allocate on the heap (useful for retaining a copy of a stateful) /// - the ability to copy /// - a predicate that captures the fact that the invariant depends only on the /// footprint of the stateful, i.e. does not rely on some gcmalloc'd global /// state in the global scope. /// /// This may seem like a lot but actually most low-level representations satisfy /// these principles! inline_for_extraction noextract noeq type stateful (index: Type0) = | Stateful: // Low-level types s: (index -> Type0) -> // Astract footprint. footprint: (#i:index -> h:HS.mem -> s:s i -> GTot B.loc) -> freeable: (#i:index -> h:HS.mem -> p:s i -> Type) -> invariant: (#i:index -> h:HS.mem -> s:s i -> Type) -> // A pure representation of an s t: (index -> Type0) -> v: (i:index -> h:HS.mem -> s:s i -> GTot (t i)) -> // Adequate framing lemmas, relying on v. invariant_loc_in_footprint: (#i:index -> h:HS.mem -> s:s i -> Lemma (requires (invariant h s)) (ensures (B.loc_in (footprint #i h s) h)) [ SMTPat (invariant h s) ]) -> frame_invariant: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( invariant h1 s /\ v i h0 s == v i h1 s /\ footprint #i h1 s == footprint #i h0 s)) [ SMTPat (invariant h1 s); SMTPat (B.modifies l h0 h1) ]) -> frame_freeable: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ freeable h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( freeable h1 s)) [ SMTPat (freeable h1 s); SMTPat (B.modifies l h0 h1) ]) -> // Stateful operations alloca: (i:index -> StackInline (s i) (requires (fun _ -> True)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true (HS.get_tip h1)) (footprint #i h1 s))))) -> create_in: (i:index -> r:HS.rid -> ST (s i) (requires (fun h0 -> HyperStack.ST.is_eternal_region r)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true r) (footprint #i h1 s)) /\ freeable #i h1 s))) -> free: ( i: G.erased index -> ( let i = G.reveal i in s:s i -> ST unit (requires fun h0 -> freeable #i h0 s /\ invariant #i h0 s) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s) h0 h1)))) -> copy: ( i:G.erased index -> ( let i = G.reveal i in s_src:s i -> s_dst:s i -> Stack unit (requires (fun h0 -> invariant #i h0 s_src /\ invariant #i h0 s_dst /\ B.(loc_disjoint (footprint #i h0 s_src) (footprint #i h0 s_dst)))) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s_dst) h0 h1) /\ footprint #i h0 s_dst == footprint #i h1 s_dst /\ (freeable #i h0 s_dst ==> freeable #i h1 s_dst) /\ invariant #i h1 s_dst /\ v i h1 s_dst == v i h0 s_src))) -> stateful index inline_for_extraction noextract let stateful_buffer (a: Type) (l: UInt32.t { UInt32.v l > 0 }) (zero: a) (t: Type0): stateful t = Stateful (fun _ -> b:B.buffer a { B.len b == l }) (fun #_ h s -> B.loc_addr_of_buffer s) (fun #_ h s -> B.freeable s) (fun #_ h s -> B.live h s) (fun _ -> s:S.seq a { S.length s == UInt32.v l }) (fun _ h s -> B.as_seq h s) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> B.alloca zero l) (fun _ r -> B.malloc r zero l) (fun _ s -> B.free s) (fun _ s_src s_dst -> B.blit s_src 0ul s_dst 0ul l) inline_for_extraction noextract let stateful_unused (t: Type0): stateful t = Stateful (fun _ -> unit) (fun #_ h s -> B.loc_none) (fun #_ h s -> True) (fun #_ h s -> True) (fun _ -> unit) (fun _ h s -> ()) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> ()) (fun _ r -> ()) (fun _ s -> ()) (fun _ _ _ -> ()) type key_management = | Erased | Runtime
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.BufferOps.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Integers.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Streaming.Interface.fsti" }
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "LowStar.BufferOps", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "FStar.Ghost", "short_module": "G" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "FStar.HyperStack", "short_module": "HS" }, { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "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": 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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
i: index -> km: Hacl.Streaming.Interface.key_management -> key: Hacl.Streaming.Interface.stateful index -> Type0
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Interface.key_management", "Hacl.Streaming.Interface.stateful", "FStar.Ghost.erased", "Hacl.Streaming.Interface.__proj__Stateful__item__t", "Hacl.Streaming.Interface.__proj__Stateful__item__s", "Prims.unit", "FStar.Pervasives.allow_inversion" ]
[]
false
false
false
true
true
let optional_key #index (i: index) (km: key_management) (key: stateful index) =
allow_inversion key_management; match km with | Erased -> G.erased (key.t i) | Runtime -> key.s i
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.set_bit5
val set_bit5: #w:lanes -> f:lseq (uint64xN w) 5 -> i:size_nat{i <= 128} -> lseq (uint64xN w) 5
val set_bit5: #w:lanes -> f:lseq (uint64xN w) 5 -> i:size_nat{i <= 128} -> lseq (uint64xN w) 5
let set_bit5 #w f i = let b = u64 1 <<. size (i % 26) in let mask = vec_load b w in let fi = f.[i / 26] in let res = f.[i / 26] <- vec_or fi mask in res
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 602, "start_col": 0, "start_line": 597 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (a0, a1, a2, a3, a4) = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let (t0, t1, t2, t3, t4) = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w -> felem5 w let fmul_rn5 #w (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_r2_normalize5: acc:felem5 2 -> r:felem5 2 -> r2:felem5 2 -> felem5 2 let fmul_r2_normalize5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r20, r21, r22, r23, r24) = let r20 = vec_interleave_low r20 r0 in let r21 = vec_interleave_low r21 r1 in let r22 = vec_interleave_low r22 r2 in let r23 = vec_interleave_low r23 r3 in let r24 = vec_interleave_low r24 r4 in let (r250, r251, r252, r253, r254) = precomp_r5 #2 (r20, r21, r22, r23, r24) in let (o0, o1, o2, o3, o4) = fmul_r5 #2 (a0, a1, a2, a3, a4) (r20, r21, r22, r23, r24) (r250, r251, r252, r253, r254) in let o0 = vec_add_mod o0 (vec_interleave_high o0 o0) in let o1 = vec_add_mod o1 (vec_interleave_high o1 o1) in let o2 = vec_add_mod o2 (vec_interleave_high o2 o2) in let o3 = vec_add_mod o3 (vec_interleave_high o3 o3) in let o4 = vec_add_mod o4 (vec_interleave_high o4 o4) in carry_full_felem5 (o0, o1, o2, o3, o4) inline_for_extraction val fmul_r4_normalize5: acc:felem5 4 -> r:felem5 4 -> r_5:felem5 4 -> r4:felem5 4 -> felem5 4 let fmul_r4_normalize5 (a0, a1, a2, a3, a4) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) (r40, r41, r42, r43, r44) = let (r20, r21, r22, r23, r24) = fmul_r5 (r10, r11, r12, r13, r14) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let (r30, r31, r32, r33, r34) = fmul_r5 (r20, r21, r22, r23, r24) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let v12120 = vec_interleave_low r20 r10 in let v34340 = vec_interleave_low r40 r30 in let r12340 = vec_interleave_low_n 2 v34340 v12120 in let v12121 = vec_interleave_low r21 r11 in let v34341 = vec_interleave_low r41 r31 in let r12341 = vec_interleave_low_n 2 v34341 v12121 in let v12122 = vec_interleave_low r22 r12 in let v34342 = vec_interleave_low r42 r32 in let r12342 = vec_interleave_low_n 2 v34342 v12122 in let v12123 = vec_interleave_low r23 r13 in let v34343 = vec_interleave_low r43 r33 in let r12343 = vec_interleave_low_n 2 v34343 v12123 in let v12124 = vec_interleave_low r24 r14 in let v34344 = vec_interleave_low r44 r34 in let r12344 = vec_interleave_low_n 2 v34344 v12124 in let (r123450, r123451, r123452, r123453, r123454) = precomp_r5 #4 (r12340, r12341, r12342, r12343, r12344) in let (o0, o1, o2, o3, o4) = fmul_r5 #4 (a0, a1, a2, a3, a4) (r12340, r12341, r12342, r12343, r12344) (r123450, r123451, r123452, r123453, r123454) in let v00 = vec_interleave_high_n 2 o0 o0 in let v10 = vec_add_mod o0 v00 in let v10h = vec_interleave_high v10 v10 in let v20 = vec_add_mod v10 v10h in let v01 = vec_interleave_high_n 2 o1 o1 in let v11 = vec_add_mod o1 v01 in let v11h = vec_interleave_high v11 v11 in let v21 = vec_add_mod v11 v11h in let v02 = vec_interleave_high_n 2 o2 o2 in let v12 = vec_add_mod o2 v02 in let v12h = vec_interleave_high v12 v12 in let v22 = vec_add_mod v12 v12h in let v03 = vec_interleave_high_n 2 o3 o3 in let v13 = vec_add_mod o3 v03 in let v13h = vec_interleave_high v13 v13 in let v23 = vec_add_mod v13 v13h in let v04 = vec_interleave_high_n 2 o4 o4 in let v14 = vec_add_mod o4 v04 in let v14h = vec_interleave_high v14 v14 in let v24 = vec_add_mod v14 v14h in carry_full_felem5 (v20, v21, v22, v23, v24) noextract val set_bit5: #w:lanes -> f:lseq (uint64xN w) 5 -> i:size_nat{i <= 128}
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5 -> i: Lib.IntTypes.size_nat{i <= 128} -> Lib.Sequence.lseq (Hacl.Spec.Poly1305.Field32xN.uint64xN w) 5
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.lanes", "Lib.Sequence.lseq", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.IntTypes.size_nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Prims.l_and", "Prims.eq2", "FStar.Seq.Base.seq", "Lib.Sequence.to_seq", "FStar.Seq.Base.upd", "Prims.op_Division", "Lib.IntVector.vec_or", "Lib.IntTypes.U64", "Lib.Sequence.index", "Prims.l_Forall", "Prims.nat", "Prims.op_Subtraction", "Prims.pow2", "Prims.l_imp", "Prims.op_LessThan", "Prims.op_disEquality", "Prims.l_or", "FStar.Seq.Base.index", "Lib.Sequence.op_String_Assignment", "Lib.Sequence.op_String_Access", "Lib.IntVector.vec_t", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.create", "Lib.IntVector.vec_load", "Lib.IntTypes.op_Less_Less_Dot", "Lib.IntTypes.u64", "Lib.IntTypes.size", "Prims.op_Modulus" ]
[]
false
false
false
false
false
let set_bit5 #w f i =
let b = u64 1 <<. size (i % 26) in let mask = vec_load b w in let fi = f.[ i / 26 ] in let res = f.[ i / 26 ] <- vec_or fi mask in res
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.load_felem5_4
val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4
val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4
let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 382, "start_col": 0, "start_line": 365 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
lo: Hacl.Spec.Poly1305.Field32xN.uint64xN 4 -> hi: Hacl.Spec.Poly1305.Field32xN.uint64xN 4 -> Hacl.Spec.Poly1305.Field32xN.felem5 4
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.uint64xN", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.map", "Lib.IntTypes.shift_right_i", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.IntVector.vec_shift_right", "FStar.UInt32.__uint_to_t", "Lib.IntVector.vec_and", "Lib.IntVector.vec_interleave_low", "Lib.IntVector.vec_interleave_high", "Lib.IntVector.cast", "Lib.IntTypes.U128", "Lib.IntVector.vec_interleave_high_n", "Lib.IntVector.vec_interleave_low_n", "Lib.Sequence.create", "Lib.IntTypes.mk_int", "Hacl.Spec.Poly1305.Field32xN.mask26", "Hacl.Spec.Poly1305.Field32xN.felem5" ]
[]
false
false
false
false
false
let load_felem5_4 lo hi =
let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4)
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.load_acc5_4
val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4
val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4
let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 411, "start_col": 0, "start_line": 403 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
f: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> e: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> Hacl.Spec.Poly1305.Field32xN.felem5 4
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "FStar.Pervasives.Native.Mktuple5", "Hacl.Spec.Poly1305.Field32xN.fadd5", "Prims.eq2", "Lib.Sequence.lseq", "Lib.IntTypes.int_t", "Lib.IntTypes.SEC", "Lib.IntVector.vec_v", "Lib.Sequence.upd", "Lib.IntTypes.v", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "FStar.UInt32.uint_to_t", "FStar.UInt32.t", "Lib.IntVector.vec_get", "Lib.IntVector.vec_set", "FStar.UInt32.__uint_to_t", "Hacl.Spec.Poly1305.Field32xN.zero" ]
[]
false
false
false
false
false
let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) =
let r0, r1, r2, r3, r4 = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let f0, f1, f2, f3, f4 = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4)
false
Hacl.Streaming.Interface.fsti
Hacl.Streaming.Interface.stateful_unused
val stateful_unused (t: Type0) : stateful t
val stateful_unused (t: Type0) : stateful t
let stateful_unused (t: Type0): stateful t = Stateful (fun _ -> unit) (fun #_ h s -> B.loc_none) (fun #_ h s -> True) (fun #_ h s -> True) (fun _ -> unit) (fun _ h s -> ()) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> ()) (fun _ r -> ()) (fun _ s -> ()) (fun _ _ _ -> ())
{ "file_name": "code/streaming/Hacl.Streaming.Interface.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 21, "end_line": 171, "start_col": 0, "start_line": 157 }
module Hacl.Streaming.Interface open FStar.HyperStack.ST open FStar.Integers /// This is the interface that the streaming functor expects from a block-based /// API. We need to be abstract vis à vis the state representations of the /// underlying block-based API. For that, we use classic framing lemma and /// invariant preservation techniques used in EverCrypt and elsewhere. #set-options "--max_fuel 0 --max_ifuel 0 --z3rlimit 100" module HS = FStar.HyperStack module ST = FStar.HyperStack.ST module B = LowStar.Buffer module G = FStar.Ghost module S = FStar.Seq module U32 = FStar.UInt32 module U64 = FStar.UInt64 open LowStar.BufferOps open FStar.Mul inline_for_extraction noextract let uint8 = Lib.IntTypes.uint8 inline_for_extraction noextract let uint32 = Lib.IntTypes.uint32 /// The type class of stateful types: a low-level representation, a high-level /// value, and a ``v`` function to switch between the two. /// /// The low-level representation needs to abide by all the important framing /// principles to allow clients to efficiently work with a ``stateful index``. /// /// More interestingly, we require some extra operations that arise in the /// process of manipulating instances of this type class: /// - the ability to allocate on the stack (useful for temporaries) /// - the ability to allocate on the heap (useful for retaining a copy of a stateful) /// - the ability to copy /// - a predicate that captures the fact that the invariant depends only on the /// footprint of the stateful, i.e. does not rely on some gcmalloc'd global /// state in the global scope. /// /// This may seem like a lot but actually most low-level representations satisfy /// these principles! inline_for_extraction noextract noeq type stateful (index: Type0) = | Stateful: // Low-level types s: (index -> Type0) -> // Astract footprint. footprint: (#i:index -> h:HS.mem -> s:s i -> GTot B.loc) -> freeable: (#i:index -> h:HS.mem -> p:s i -> Type) -> invariant: (#i:index -> h:HS.mem -> s:s i -> Type) -> // A pure representation of an s t: (index -> Type0) -> v: (i:index -> h:HS.mem -> s:s i -> GTot (t i)) -> // Adequate framing lemmas, relying on v. invariant_loc_in_footprint: (#i:index -> h:HS.mem -> s:s i -> Lemma (requires (invariant h s)) (ensures (B.loc_in (footprint #i h s) h)) [ SMTPat (invariant h s) ]) -> frame_invariant: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( invariant h1 s /\ v i h0 s == v i h1 s /\ footprint #i h1 s == footprint #i h0 s)) [ SMTPat (invariant h1 s); SMTPat (B.modifies l h0 h1) ]) -> frame_freeable: (#i:index -> l:B.loc -> s:s i -> h0:HS.mem -> h1:HS.mem -> Lemma (requires ( invariant h0 s /\ freeable h0 s /\ B.loc_disjoint l (footprint #i h0 s) /\ B.modifies l h0 h1)) (ensures ( freeable h1 s)) [ SMTPat (freeable h1 s); SMTPat (B.modifies l h0 h1) ]) -> // Stateful operations alloca: (i:index -> StackInline (s i) (requires (fun _ -> True)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true (HS.get_tip h1)) (footprint #i h1 s))))) -> create_in: (i:index -> r:HS.rid -> ST (s i) (requires (fun h0 -> HyperStack.ST.is_eternal_region r)) (ensures (fun h0 s h1 -> invariant #i h1 s /\ B.(modifies loc_none h0 h1) /\ B.fresh_loc (footprint #i h1 s) h0 h1 /\ B.(loc_includes (loc_region_only true r) (footprint #i h1 s)) /\ freeable #i h1 s))) -> free: ( i: G.erased index -> ( let i = G.reveal i in s:s i -> ST unit (requires fun h0 -> freeable #i h0 s /\ invariant #i h0 s) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s) h0 h1)))) -> copy: ( i:G.erased index -> ( let i = G.reveal i in s_src:s i -> s_dst:s i -> Stack unit (requires (fun h0 -> invariant #i h0 s_src /\ invariant #i h0 s_dst /\ B.(loc_disjoint (footprint #i h0 s_src) (footprint #i h0 s_dst)))) (ensures fun h0 _ h1 -> B.(modifies (footprint #i h0 s_dst) h0 h1) /\ footprint #i h0 s_dst == footprint #i h1 s_dst /\ (freeable #i h0 s_dst ==> freeable #i h1 s_dst) /\ invariant #i h1 s_dst /\ v i h1 s_dst == v i h0 s_src))) -> stateful index inline_for_extraction noextract let stateful_buffer (a: Type) (l: UInt32.t { UInt32.v l > 0 }) (zero: a) (t: Type0): stateful t = Stateful (fun _ -> b:B.buffer a { B.len b == l }) (fun #_ h s -> B.loc_addr_of_buffer s) (fun #_ h s -> B.freeable s) (fun #_ h s -> B.live h s) (fun _ -> s:S.seq a { S.length s == UInt32.v l }) (fun _ h s -> B.as_seq h s) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> B.alloca zero l) (fun _ r -> B.malloc r zero l) (fun _ s -> B.free s) (fun _ s_src s_dst -> B.blit s_src 0ul s_dst 0ul l)
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "LowStar.BufferOps.fst.checked", "LowStar.Buffer.fst.checked", "Lib.UpdateMulti.fst.checked", "Lib.IntTypes.fsti.checked", "FStar.UInt64.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.Math.Lemmas.fst.checked", "FStar.Integers.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked", "FStar.Ghost.fsti.checked" ], "interface_file": false, "source_file": "Hacl.Streaming.Interface.fsti" }
[ { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "LowStar.BufferOps", "short_module": null }, { "abbrev": true, "full_module": "FStar.UInt64", "short_module": "U64" }, { "abbrev": true, "full_module": "FStar.UInt32", "short_module": "U32" }, { "abbrev": true, "full_module": "FStar.Seq", "short_module": "S" }, { "abbrev": true, "full_module": "FStar.Ghost", "short_module": "G" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": true, "full_module": "FStar.HyperStack", "short_module": "HS" }, { "abbrev": false, "full_module": "FStar.Integers", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Streaming", "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": 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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
t: Type0 -> Hacl.Streaming.Interface.stateful t
Prims.Tot
[ "total" ]
[]
[ "Hacl.Streaming.Interface.Stateful", "Prims.unit", "FStar.Monotonic.HyperStack.mem", "LowStar.Monotonic.Buffer.loc_none", "LowStar.Monotonic.Buffer.loc", "Prims.l_True", "FStar.Monotonic.HyperHeap.rid", "FStar.Ghost.erased", "Hacl.Streaming.Interface.stateful" ]
[]
false
false
false
true
false
let stateful_unused (t: Type0) : stateful t =
Stateful (fun _ -> unit) (fun #_ h s -> B.loc_none) (fun #_ h s -> True) (fun #_ h s -> True) (fun _ -> unit) (fun _ h s -> ()) (fun #_ h s -> ()) (fun #_ l s h0 h1 -> ()) (fun #_ l s h0 h1 -> ()) (fun _ -> ()) (fun _ r -> ()) (fun _ s -> ()) (fun _ _ _ -> ())
false
Hacl.HMAC.fsti
Hacl.HMAC.compute_st
val compute_st : a: Spec.Hash.Definitions.fixed_len_alg -> Type0
let compute_st (a: fixed_len_alg) = tag: B.buffer uint8 {B.length tag == hash_length a} -> key: B.buffer uint8{ keysized a (B.length key) /\ B.disjoint key tag } -> keylen: UInt32.t{ UInt32.v keylen = B.length key } -> data: B.buffer uint8{ B.length data + block_length a < pow2 32 } -> datalen: UInt32.t{ UInt32.v datalen = B.length data } -> Stack unit (requires fun h0 -> B.live h0 tag /\ B.live h0 key /\ B.live h0 data) (ensures fun h0 _ h1 -> key_and_data_fits a; LowStar.Modifies.(modifies (loc_buffer tag) h0 h1) /\ B.as_seq h1 tag == hmac a (B.as_seq h0 key) (B.as_seq h0 data))
{ "file_name": "code/hmac/Hacl.HMAC.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 67, "end_line": 41, "start_col": 0, "start_line": 30 }
module Hacl.HMAC /// A generic, meta-programmed HMAC module. This one provides one concrete /// instantiation, namely HMAC-SHA2-256 instantiated with the HACL* /// implementation. In the future, this module may provide more implementations /// of HMAC, using optimized HACL versions of SHA2-256. For more algorithms, and /// for an assembly-optimized HMAC version that may call into Vale, see /// EverCrypt.HMAC. module B = LowStar.Buffer module D = Hacl.Hash.Definitions open Spec.Agile.HMAC open Spec.Hash.Definitions open FStar.HyperStack.ST open Lib.IntTypes open EverCrypt.Helpers #set-options "--z3rlimit 25 --fuel 0 --ifuel 0" let key_and_data_fits (a: hash_alg): Lemma (ensures ((block_length a + pow2 32) `less_than_max_input_length` a)) = let open FStar.Mul in assert_norm (8 * 16 + pow2 32 < pow2 61); assert_norm (pow2 61 < pow2 125)
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "Spec.Agile.HMAC.fsti.checked", "prims.fst.checked", "LowStar.Modifies.fst.checked", "LowStar.Buffer.fst.checked", "Lib.IntTypes.fsti.checked", "Hacl.Hash.Definitions.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.HyperStack.ST.fsti.checked", "EverCrypt.Helpers.fsti.checked" ], "interface_file": false, "source_file": "Hacl.HMAC.fsti" }
[ { "abbrev": false, "full_module": "EverCrypt.Helpers", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Spec.Hash.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Spec.Agile.HMAC", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Hash.Definitions", "short_module": "D" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Hacl", "short_module": null }, { "abbrev": false, "full_module": "Hacl", "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": 25, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Spec.Hash.Definitions.fixed_len_alg -> Type0
Prims.Tot
[ "total" ]
[]
[ "Spec.Hash.Definitions.fixed_len_alg", "LowStar.Buffer.buffer", "Lib.IntTypes.uint8", "Prims.eq2", "Prims.nat", "LowStar.Monotonic.Buffer.length", "LowStar.Buffer.trivial_preorder", "Spec.Hash.Definitions.hash_length", "Prims.l_and", "Spec.Agile.HMAC.keysized", "LowStar.Monotonic.Buffer.disjoint", "FStar.UInt32.t", "Prims.b2t", "Prims.op_Equality", "Prims.int", "Prims.l_or", "FStar.UInt.size", "FStar.UInt32.n", "Prims.op_GreaterThanOrEqual", "FStar.UInt32.v", "Prims.op_LessThan", "Prims.op_Addition", "Spec.Hash.Definitions.block_length", "Prims.pow2", "Prims.unit", "FStar.Monotonic.HyperStack.mem", "LowStar.Monotonic.Buffer.live", "LowStar.Monotonic.Buffer.modifies", "LowStar.Monotonic.Buffer.loc_buffer", "FStar.Seq.Base.seq", "LowStar.Monotonic.Buffer.as_seq", "Spec.Agile.HMAC.hmac", "Hacl.HMAC.key_and_data_fits" ]
[]
false
false
false
true
true
let compute_st (a: fixed_len_alg) =
tag: B.buffer uint8 {B.length tag == hash_length a} -> key: B.buffer uint8 {keysized a (B.length key) /\ B.disjoint key tag} -> keylen: UInt32.t{UInt32.v keylen = B.length key} -> data: B.buffer uint8 {B.length data + block_length a < pow2 32} -> datalen: UInt32.t{UInt32.v datalen = B.length data} -> Stack unit (requires fun h0 -> B.live h0 tag /\ B.live h0 key /\ B.live h0 data) (ensures fun h0 _ h1 -> key_and_data_fits a; LowStar.Modifies.(modifies (loc_buffer tag) h0 h1) /\ B.as_seq h1 tag == hmac a (B.as_seq h0 key) (B.as_seq h0 data))
false
Hacl.Spec.Poly1305.Field32xN.fst
Hacl.Spec.Poly1305.Field32xN.fmul_r4_normalize5
val fmul_r4_normalize5: acc:felem5 4 -> r:felem5 4 -> r_5:felem5 4 -> r4:felem5 4 -> felem5 4
val fmul_r4_normalize5: acc:felem5 4 -> r:felem5 4 -> r_5:felem5 4 -> r4:felem5 4 -> felem5 4
let fmul_r4_normalize5 (a0, a1, a2, a3, a4) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) (r40, r41, r42, r43, r44) = let (r20, r21, r22, r23, r24) = fmul_r5 (r10, r11, r12, r13, r14) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let (r30, r31, r32, r33, r34) = fmul_r5 (r20, r21, r22, r23, r24) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let v12120 = vec_interleave_low r20 r10 in let v34340 = vec_interleave_low r40 r30 in let r12340 = vec_interleave_low_n 2 v34340 v12120 in let v12121 = vec_interleave_low r21 r11 in let v34341 = vec_interleave_low r41 r31 in let r12341 = vec_interleave_low_n 2 v34341 v12121 in let v12122 = vec_interleave_low r22 r12 in let v34342 = vec_interleave_low r42 r32 in let r12342 = vec_interleave_low_n 2 v34342 v12122 in let v12123 = vec_interleave_low r23 r13 in let v34343 = vec_interleave_low r43 r33 in let r12343 = vec_interleave_low_n 2 v34343 v12123 in let v12124 = vec_interleave_low r24 r14 in let v34344 = vec_interleave_low r44 r34 in let r12344 = vec_interleave_low_n 2 v34344 v12124 in let (r123450, r123451, r123452, r123453, r123454) = precomp_r5 #4 (r12340, r12341, r12342, r12343, r12344) in let (o0, o1, o2, o3, o4) = fmul_r5 #4 (a0, a1, a2, a3, a4) (r12340, r12341, r12342, r12343, r12344) (r123450, r123451, r123452, r123453, r123454) in let v00 = vec_interleave_high_n 2 o0 o0 in let v10 = vec_add_mod o0 v00 in let v10h = vec_interleave_high v10 v10 in let v20 = vec_add_mod v10 v10h in let v01 = vec_interleave_high_n 2 o1 o1 in let v11 = vec_add_mod o1 v01 in let v11h = vec_interleave_high v11 v11 in let v21 = vec_add_mod v11 v11h in let v02 = vec_interleave_high_n 2 o2 o2 in let v12 = vec_add_mod o2 v02 in let v12h = vec_interleave_high v12 v12 in let v22 = vec_add_mod v12 v12h in let v03 = vec_interleave_high_n 2 o3 o3 in let v13 = vec_add_mod o3 v03 in let v13h = vec_interleave_high v13 v13 in let v23 = vec_add_mod v13 v13h in let v04 = vec_interleave_high_n 2 o4 o4 in let v14 = vec_add_mod o4 v04 in let v14h = vec_interleave_high v14 v14 in let v24 = vec_add_mod v14 v14h in carry_full_felem5 (v20, v21, v22, v23, v24)
{ "file_name": "code/poly1305/Hacl.Spec.Poly1305.Field32xN.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 45, "end_line": 589, "start_col": 0, "start_line": 538 }
module Hacl.Spec.Poly1305.Field32xN open Lib.IntTypes open Lib.IntVector open Lib.Sequence open FStar.Mul open Hacl.Spec.Poly1305.Vec #reset-options "--z3rlimit 100 --using_facts_from '* -FStar.Seq'" let scale32 = s:nat{s <= 64} let scale64 = s:nat{s <= 4096} let nat5 = (nat & nat & nat & nat & nat) let scale32_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 64 /\ x2 <= 64 /\ x3 <= 64 /\ x4 <= 64 /\ x5 <= 64} let scale64_5 = x:nat5{let (x1,x2,x3,x4,x5) = x in x1 <= 4096 /\ x2 <= 4096 /\ x3 <= 4096 /\ x4 <= 4096 /\ x5 <= 4096} let s64x5 (x:scale64) : scale64_5 = (x,x,x,x,x) noextract let ( *^ ) (x:scale32) (y:scale32_5) : scale64_5 = assert_norm (64 * 64 = 4096); let (y1,y2,y3,y4,y5) = y in (x * y1 , x * y2 , x * y3 , x * y4 , x * y5) noextract let ( +* ) (x:nat5) (y:nat5) : nat5 = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 + y1 , x2 + y2 , x3 + y3 , x4 + y4 , x5 + y5) noextract let ( <=* ) (x:nat5) (y:nat5) : Type = let (x1,x2,x3,x4,x5) = x in let (y1,y2,y3,y4,y5) = y in (x1 <= y1) /\ (x2 <= y2) /\ (x3 <= y3) /\ (x4 <= y4) /\ (x5 <= y5) //abstract let pow26: (pow26: pos { pow2 32 == 64 * pow26 /\ pow2 64 == 4096 * pow26 * pow26 /\ pow26 == pow2 26 }) = let pow26: pos = pow2 26 in assert_norm (pow2 32 == 64 * pow26); assert_norm (pow2 64 == 4096 * pow26 * pow26); pow26 let pow52: (pow52:pos {pow52 == pow2 52}) = normalize_term (pow2 52) let pow78: (pow78:pos {pow78 == pow2 78}) = normalize_term (pow2 78) let pow104: (pow104:pos {pow104 == pow2 104}) = normalize_term (pow2 104) inline_for_extraction let max26 = pow26 - 1 let tup64_5 = (uint64 & uint64 & uint64 & uint64 & uint64) let tup64_fits1 (f:uint64) (m:scale32) = uint_v f <= m * max26 let tup64_wide_fits1 (f:uint64) (m:scale64) = uint_v f <= m * max26 * max26 let tup64_fits5 (f:tup64_5) (m:scale32_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_fits1 x0 m0 /\ tup64_fits1 x1 m1 /\ tup64_fits1 x2 m2 /\ tup64_fits1 x3 m3 /\ tup64_fits1 x4 m4 let tup64_wide_fits5 (f:tup64_5) (m:scale64_5) = let (x0, x1, x2, x3, x4) = f in let (m0, m1, m2, m3, m4) = m in tup64_wide_fits1 x0 m0 /\ tup64_wide_fits1 x1 m1 /\ tup64_wide_fits1 x2 m2 /\ tup64_wide_fits1 x3 m3 /\ tup64_wide_fits1 x4 m4 noextract val as_nat5: f:tup64_5 -> nat let as_nat5 f = let (s0, s1, s2, s3, s4) = f in v s0 + v s1 * pow26 + v s2 * pow52 + v s3 * pow78 + v s4 * pow104 noextract let as_pfelem5 (f:tup64_5) : pfelem = (as_nat5 f) % prime let lanes = w:width{w == 1 \/ w == 2 \/ w == 4} inline_for_extraction let uint64xN (w:lanes) = vec_t U64 w inline_for_extraction let zero (w:lanes) = vec_zero U64 w inline_for_extraction let mask26 (w:lanes) = vec_load (u64 0x3ffffff) w inline_for_extraction let mask14 (w:lanes) = vec_load (u64 0x3fff) w inline_for_extraction let felem5 (w:lanes) = (uint64xN w & uint64xN w & uint64xN w & uint64xN w & uint64xN w) inline_for_extraction let felem_wide5 (w:lanes) = felem5 w let felem_fits1 (#w:lanes) (x:uint64xN w) (m:scale32) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 let felem_wide_fits1 (#w:lanes) (x:uint64xN w) (m:scale64) = forall (i:nat). {:pattern (vec_v x).[i] } i < w ==> uint_v (vec_v x).[i] <= m * max26 * max26 let felem_fits5 (#w:lanes) (f:felem5 w) (m:scale32_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_fits1 x1 m1 /\ felem_fits1 x2 m2 /\ felem_fits1 x3 m3 /\ felem_fits1 x4 m4 /\ felem_fits1 x5 m5 let felem_wide_fits5 (#w:lanes) (f:felem_wide5 w) (m:scale64_5) = let (x1,x2,x3,x4,x5) = f in let (m1,m2,m3,m4,m5) = m in felem_wide_fits1 x1 m1 /\ felem_wide_fits1 x2 m2 /\ felem_wide_fits1 x3 m3 /\ felem_wide_fits1 x4 m4 /\ felem_wide_fits1 x5 m5 noextract let transpose (#w:lanes) (f:felem5 w) : lseq tup64_5 w = let (f0,f1,f2,f3,f4) = f in let v0 = vec_v f0 in let v1 = vec_v f1 in let v2 = vec_v f2 in let v3 = vec_v f3 in let v4 = vec_v f4 in createi #tup64_5 w (fun i -> (v0.[i],v1.[i],v2.[i],v3.[i],v4.[i])) noextract let as_tup64_i (#w:lanes) (f:felem5 w) (i:nat{i < w}): tup64_5 = (transpose #w f).[i] noextract let feval5 (#w:lanes) (f:felem5 w) : lseq pfelem w = map as_pfelem5 (transpose f) noextract let fas_nat5 (#w:lanes) (f:felem5 w) : lseq nat w = map as_nat5 (transpose f) noextract let uint64xN_v (#w:lanes) (e:uint64xN w) : lseq nat w = let e = vec_v e in createi #nat w (fun i -> uint_v e.[i]) let uint64xN_fits (#w:lanes) (x:uint64xN w) (m:nat) = forall (i:nat). i < w ==> uint_v (vec_v x).[i] < m noextract let felem_less5 (#w:lanes) (f:felem5 w) (max:nat) : Type0 = forall (i:nat). i < w ==> as_nat5 (as_tup64_i f i) < max noextract val as_tup5: #w:lanes -> f:lseq (uint64xN w) 5 -> GTot (felem5 w) let as_tup5 #w s = (s.[0], s.[1], s.[2], s.[3], s.[4]) noextract val lfelem_fits: #w:lanes -> f:lseq (uint64xN w) 5 -> m:scale32_5 -> Type0 let lfelem_fits #w f m = felem_fits5 (as_tup5 f) m noextract let lfeval (#w:lanes) (f:lseq (uint64xN w) 5) : GTot (lseq pfelem w) = feval5 (as_tup5 f) noextract let lfelem_less (#w:lanes) (f:lseq (uint64xN w) 5) (max:nat) : Type0 = felem_less5 (as_tup5 f) max inline_for_extraction noextract val precomp_r5: #w:lanes -> r:felem5 w -> felem5 w let precomp_r5 #w (r0, r1, r2, r3, r4) = [@inline_let] let r50 = vec_smul_mod r0 (u64 5) in [@inline_let] let r51 = vec_smul_mod r1 (u64 5) in [@inline_let] let r52 = vec_smul_mod r2 (u64 5) in [@inline_let] let r53 = vec_smul_mod r3 (u64 5) in [@inline_let] let r54 = vec_smul_mod r4 (u64 5) in (r50, r51, r52, r53, r54) inline_for_extraction noextract val fadd5: #w:lanes -> f1:felem5 w -> f2:felem5 w -> felem5 w let fadd5 #w (f10, f11, f12, f13, f14) (f20, f21, f22, f23, f24) = [@inline_let] let o0 = f10 +| f20 in [@inline_let] let o1 = f11 +| f21 in [@inline_let] let o2 = f12 +| f22 in [@inline_let] let o3 = f13 +| f23 in [@inline_let] let o4 = f14 +| f24 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> felem_wide5 w let smul_felem5 #w u1 (f20, f21, f22, f23, f24) = [@inline_let] let o0 = vec_mul_mod f20 u1 in [@inline_let] let o1 = vec_mul_mod f21 u1 in [@inline_let] let o2 = vec_mul_mod f22 u1 in [@inline_let] let o3 = vec_mul_mod f23 u1 in [@inline_let] let o4 = vec_mul_mod f24 u1 in (o0, o1, o2, o3, o4) inline_for_extraction noextract val smul_add_felem5: #w:lanes -> u1:uint64xN w -> f2:felem5 w -> acc1:felem_wide5 w -> felem_wide5 w let smul_add_felem5 #w u1 (f20, f21, f22, f23, f24) (o0, o1, o2, o3, o4) = [@inline_let] let o0 = vec_add_mod o0 (vec_mul_mod f20 u1) in [@inline_let] let o1 = vec_add_mod o1 (vec_mul_mod f21 u1) in [@inline_let] let o2 = vec_add_mod o2 (vec_mul_mod f22 u1) in [@inline_let] let o3 = vec_add_mod o3 (vec_mul_mod f23 u1) in [@inline_let] let o4 = vec_add_mod o4 (vec_mul_mod f24 u1) in (o0, o1, o2, o3, o4) inline_for_extraction noextract val mul_felem5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem_wide5 w let mul_felem5 #w (f10,f11,f12,f13,f14) (r0,r1,r2,r3,r4) (r50,r51,r52,r53,r54) = let (a0,a1,a2,a3,a4) = smul_felem5 #w f10 (r0,r1,r2,r3,r4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f11 (r54,r0,r1,r2,r3) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f12 (r53,r54,r0,r1,r2) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f13 (r52,r53,r54,r0,r1) (a0,a1,a2,a3,a4) in let (a0,a1,a2,a3,a4) = smul_add_felem5 #w f14 (r51,r52,r53,r54,r0) (a0,a1,a2,a3,a4) in (a0,a1,a2,a3,a4) inline_for_extraction noextract val carry26: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26 #w l cin = let l = vec_add_mod l cin in (vec_and l (mask26 w), vec_shift_right l 26ul) inline_for_extraction noextract val carry_full_felem5: #w:lanes -> inp:felem5 w -> felem5 w let carry_full_felem5 #w (f0, f1, f2, f3, f4) = let tmp0,c0 = carry26 f0 (zero w) in let tmp1,c1 = carry26 f1 c0 in let tmp2,c2 = carry26 f2 c1 in let tmp3,c3 = carry26 f3 c2 in let tmp4,c4 = carry26 f4 c3 in [@inline_let] let tmp0' = vec_add_mod tmp0 (vec_smul_mod c4 (u64 5)) in (tmp0', tmp1, tmp2, tmp3, tmp4) inline_for_extraction noextract val subtract_p5: #w:lanes -> f:felem5 w -> felem5 w let subtract_p5 #w (f0, f1, f2, f3, f4) = let mh = vec_load (u64 0x3ffffff) w in let ml = vec_load (u64 0x3fffffb) w in let mask = vec_eq_mask f4 mh in let mask = vec_and mask (vec_eq_mask f3 mh) in let mask = vec_and mask (vec_eq_mask f2 mh) in let mask = vec_and mask (vec_eq_mask f1 mh) in let mask = vec_and mask (vec_gte_mask f0 ml) in let ph = vec_and mask mh in let pl = vec_and mask ml in let o0 = vec_sub_mod f0 pl in let o1 = vec_sub_mod f1 ph in let o2 = vec_sub_mod f2 ph in let o3 = vec_sub_mod f3 ph in let o4 = vec_sub_mod f4 ph in (o0, o1, o2, o3, o4) inline_for_extraction noextract val reduce_felem5: #w:lanes -> f:felem5 w -> felem5 w let reduce_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in let (f0, f1, f2, f3, f4) = carry_full_felem5 (f0, f1, f2, f3, f4) in subtract_p5 (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5: #w:lanes -> lo:uint64xN w -> hi:uint64xN w -> felem5 w let load_felem5 #w lo hi = let f0 = vec_and lo (mask26 w) in let f1 = vec_and (vec_shift_right lo 26ul) (mask26 w) in let f2 = vec_or (vec_shift_right lo 52ul) (vec_shift_left (vec_and hi (mask14 w)) 12ul) in let f3 = vec_and (vec_shift_right hi 14ul) (mask26 w) in let f4 = vec_shift_right hi 40ul in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_felem5_4: lo:uint64xN 4 -> hi:uint64xN 4 -> felem5 4 let load_felem5_4 lo hi = let mask26 = mask26 4 in let m0 = vec_interleave_low_n 2 lo hi in let m1 = vec_interleave_high_n 2 lo hi in let m2 = cast U64 4 (vec_shift_right (cast U128 2 m0) 48ul) in let m3 = cast U64 4 (vec_shift_right (cast U128 2 m1) 48ul) in let m4 = vec_interleave_high m0 m1 in let t0 = vec_interleave_low m0 m1 in let t3 = vec_interleave_low m2 m3 in let t2 = vec_shift_right t3 4ul in let o2 = vec_and t2 mask26 in let t1 = vec_shift_right t0 26ul in let o1 = vec_and t1 mask26 in let o5 = vec_and t0 mask26 in let t3 = vec_shift_right t3 30ul in let o3 = vec_and t3 mask26 in let o4 = vec_shift_right m4 40ul in (o5, o1, o2, o3, o4) inline_for_extraction noextract val load_acc5_2: f:felem5 2 -> e:felem5 2 -> felem5 2 let load_acc5_2 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let f0 = vec_set f0 1ul (u64 0) in let f1 = vec_set f1 1ul (u64 0) in let f2 = vec_set f2 1ul (u64 0) in let f3 = vec_set f3 1ul (u64 0) in let f4 = vec_set f4 1ul (u64 0) in let (f0, f1, f2, f3, f4) = fadd5 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val load_acc5_4: f:felem5 4 -> e:felem5 4 -> felem5 4 let load_acc5_4 (f0, f1, f2, f3, f4) (e0, e1, e2, e3, e4) = let (r0, r1, r2, r3, r4) = (zero 4, zero 4, zero 4, zero 4, zero 4) in let r0 = vec_set r0 0ul (vec_get f0 0ul) in let r1 = vec_set r1 0ul (vec_get f1 0ul) in let r2 = vec_set r2 0ul (vec_get f2 0ul) in let r3 = vec_set r3 0ul (vec_get f3 0ul) in let r4 = vec_set r4 0ul (vec_get f4 0ul) in let (f0, f1, f2, f3, f4) = fadd5 (r0, r1, r2, r3, r4) (e0, e1, e2, e3, e4) in (f0, f1, f2, f3, f4) inline_for_extraction noextract val store_felem5: #w:lanes -> f:felem5 w -> uint64 & uint64 let store_felem5 #w (f0, f1, f2, f3, f4) = let (f0, f1, f2, f3, f4) = (vec_get f0 0ul, vec_get f1 0ul, vec_get f2 0ul, vec_get f3 0ul, vec_get f4 0ul) in let lo = (f0 |. (f1 <<. 26ul)) |. (f2 <<. 52ul) in let hi = ((f2 >>. 12ul) |. (f3 <<. 14ul)) |. (f4 <<. 40ul) in lo, hi inline_for_extraction noextract val carry26_wide: #w:lanes -> l:uint64xN w -> cin:uint64xN w -> uint64xN w & uint64xN w let carry26_wide #w l cin = carry26 #w l cin inline_for_extraction noextract val carry_wide_felem5: #w:lanes -> inp:felem_wide5 w -> felem5 w let carry_wide_felem5 #w (x0, x1, x2, x3, x4) = let mask26 = mask26 w in let z0 = vec_shift_right x0 26ul in let z1 = vec_shift_right x3 26ul in let x0 = vec_and x0 mask26 in let x3 = vec_and x3 mask26 in let x1 = vec_add_mod x1 z0 in let x4 = vec_add_mod x4 z1 in let z0 = vec_shift_right x1 26ul in let z1 = vec_shift_right x4 26ul in let t = vec_shift_left z1 2ul in let z1 = vec_add_mod z1 t in //let z1 = vec_smul_mod z1 (u64 5) in let x1 = vec_and x1 mask26 in let x4 = vec_and x4 mask26 in let x2 = vec_add_mod x2 z0 in let x0 = vec_add_mod x0 z1 in let z0 = vec_shift_right x2 26ul in let z1 = vec_shift_right x0 26ul in let x2 = vec_and x2 mask26 in let x0 = vec_and x0 mask26 in let x3 = vec_add_mod x3 z0 in let x1 = vec_add_mod x1 z1 in let z0 = vec_shift_right x3 26ul in let x3 = vec_and x3 mask26 in let x4 = vec_add_mod x4 z0 in (x0, x1, x2, x3, x4) inline_for_extraction noextract val fmul_r5: #w:lanes -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fmul_r5 #w (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fadd_mul_r5: #w:lanes -> acc:felem5 w -> f1:felem5 w -> r:felem5 w -> r5:felem5 w -> felem5 w let fadd_mul_r5 #w (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) = let (a0, a1, a2, a3, a4) = fadd5 (a0, a1, a2, a3, a4) (f10, f11, f12, f13, f14) in let (t0, t1, t2, t3, t4) = mul_felem5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r50, r51, r52, r53, r54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_rn5: #w:lanes -> f1:felem5 w -> rn:felem5 w -> rn5:felem5 w -> felem5 w let fmul_rn5 #w (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) = let (t0, t1, t2, t3, t4) = mul_felem5 (f10, f11, f12, f13, f14) (rn0, rn1, rn2, rn3, rn4) (rn50, rn51, rn52, rn53, rn54) in carry_wide_felem5 (t0, t1, t2, t3, t4) inline_for_extraction noextract val fmul_r2_normalize5: acc:felem5 2 -> r:felem5 2 -> r2:felem5 2 -> felem5 2 let fmul_r2_normalize5 (a0, a1, a2, a3, a4) (r0, r1, r2, r3, r4) (r20, r21, r22, r23, r24) = let r20 = vec_interleave_low r20 r0 in let r21 = vec_interleave_low r21 r1 in let r22 = vec_interleave_low r22 r2 in let r23 = vec_interleave_low r23 r3 in let r24 = vec_interleave_low r24 r4 in let (r250, r251, r252, r253, r254) = precomp_r5 #2 (r20, r21, r22, r23, r24) in let (o0, o1, o2, o3, o4) = fmul_r5 #2 (a0, a1, a2, a3, a4) (r20, r21, r22, r23, r24) (r250, r251, r252, r253, r254) in let o0 = vec_add_mod o0 (vec_interleave_high o0 o0) in let o1 = vec_add_mod o1 (vec_interleave_high o1 o1) in let o2 = vec_add_mod o2 (vec_interleave_high o2 o2) in let o3 = vec_add_mod o3 (vec_interleave_high o3 o3) in let o4 = vec_add_mod o4 (vec_interleave_high o4 o4) in carry_full_felem5 (o0, o1, o2, o3, o4) inline_for_extraction val fmul_r4_normalize5: acc:felem5 4 -> r:felem5 4 -> r_5:felem5 4 -> r4:felem5 4
{ "checked_file": "/", "dependencies": [ "prims.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntVector.fsti.checked", "Lib.IntTypes.fsti.checked", "Hacl.Spec.Poly1305.Vec.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked" ], "interface_file": false, "source_file": "Hacl.Spec.Poly1305.Field32xN.fst" }
[ { "abbrev": false, "full_module": "Hacl.Spec.Poly1305.Vec", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Lib.Sequence", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntVector", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Spec.Poly1305", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
acc: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> r: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> r_5: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> r4: Hacl.Spec.Poly1305.Field32xN.felem5 4 -> Hacl.Spec.Poly1305.Field32xN.felem5 4
Prims.Tot
[ "total" ]
[]
[ "Hacl.Spec.Poly1305.Field32xN.felem5", "FStar.Pervasives.Native.Mktuple4", "FStar.Pervasives.Native.tuple5", "Hacl.Spec.Poly1305.Field32xN.uint64xN", "Hacl.Spec.Poly1305.Field32xN.carry_full_felem5", "FStar.Pervasives.Native.Mktuple5", "Lib.IntVector.vec_t", "Lib.IntTypes.U64", "Lib.IntVector.vec_add_mod", "Lib.IntVector.vec_interleave_high", "Lib.IntVector.vec_interleave_high_n", "Hacl.Spec.Poly1305.Field32xN.fmul_r5", "Hacl.Spec.Poly1305.Field32xN.precomp_r5", "Lib.IntVector.vec_interleave_low_n", "Lib.IntVector.vec_interleave_low" ]
[]
false
false
false
false
false
let fmul_r4_normalize5 (a0, a1, a2, a3, a4) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) (r40, r41, r42, r43, r44) =
let r20, r21, r22, r23, r24 = fmul_r5 (r10, r11, r12, r13, r14) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let r30, r31, r32, r33, r34 = fmul_r5 (r20, r21, r22, r23, r24) (r10, r11, r12, r13, r14) (r150, r151, r152, r153, r154) in let v12120 = vec_interleave_low r20 r10 in let v34340 = vec_interleave_low r40 r30 in let r12340 = vec_interleave_low_n 2 v34340 v12120 in let v12121 = vec_interleave_low r21 r11 in let v34341 = vec_interleave_low r41 r31 in let r12341 = vec_interleave_low_n 2 v34341 v12121 in let v12122 = vec_interleave_low r22 r12 in let v34342 = vec_interleave_low r42 r32 in let r12342 = vec_interleave_low_n 2 v34342 v12122 in let v12123 = vec_interleave_low r23 r13 in let v34343 = vec_interleave_low r43 r33 in let r12343 = vec_interleave_low_n 2 v34343 v12123 in let v12124 = vec_interleave_low r24 r14 in let v34344 = vec_interleave_low r44 r34 in let r12344 = vec_interleave_low_n 2 v34344 v12124 in let r123450, r123451, r123452, r123453, r123454 = precomp_r5 #4 (r12340, r12341, r12342, r12343, r12344) in let o0, o1, o2, o3, o4 = fmul_r5 #4 (a0, a1, a2, a3, a4) (r12340, r12341, r12342, r12343, r12344) (r123450, r123451, r123452, r123453, r123454) in let v00 = vec_interleave_high_n 2 o0 o0 in let v10 = vec_add_mod o0 v00 in let v10h = vec_interleave_high v10 v10 in let v20 = vec_add_mod v10 v10h in let v01 = vec_interleave_high_n 2 o1 o1 in let v11 = vec_add_mod o1 v01 in let v11h = vec_interleave_high v11 v11 in let v21 = vec_add_mod v11 v11h in let v02 = vec_interleave_high_n 2 o2 o2 in let v12 = vec_add_mod o2 v02 in let v12h = vec_interleave_high v12 v12 in let v22 = vec_add_mod v12 v12h in let v03 = vec_interleave_high_n 2 o3 o3 in let v13 = vec_add_mod o3 v03 in let v13h = vec_interleave_high v13 v13 in let v23 = vec_add_mod v13 v13h in let v04 = vec_interleave_high_n 2 o4 o4 in let v14 = vec_add_mod o4 v04 in let v14h = vec_interleave_high v14 v14 in let v24 = vec_add_mod v14 v14h in carry_full_felem5 (v20, v21, v22, v23, v24)
false
Hacl.HMAC.fsti
Hacl.HMAC.key_and_data_fits
val key_and_data_fits (a: hash_alg) : Lemma (ensures ((block_length a + pow2 32) `less_than_max_input_length` a))
val key_and_data_fits (a: hash_alg) : Lemma (ensures ((block_length a + pow2 32) `less_than_max_input_length` a))
let key_and_data_fits (a: hash_alg): Lemma (ensures ((block_length a + pow2 32) `less_than_max_input_length` a)) = let open FStar.Mul in assert_norm (8 * 16 + pow2 32 < pow2 61); assert_norm (pow2 61 < pow2 125)
{ "file_name": "code/hmac/Hacl.HMAC.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 34, "end_line": 27, "start_col": 0, "start_line": 22 }
module Hacl.HMAC /// A generic, meta-programmed HMAC module. This one provides one concrete /// instantiation, namely HMAC-SHA2-256 instantiated with the HACL* /// implementation. In the future, this module may provide more implementations /// of HMAC, using optimized HACL versions of SHA2-256. For more algorithms, and /// for an assembly-optimized HMAC version that may call into Vale, see /// EverCrypt.HMAC. module B = LowStar.Buffer module D = Hacl.Hash.Definitions open Spec.Agile.HMAC open Spec.Hash.Definitions open FStar.HyperStack.ST open Lib.IntTypes open EverCrypt.Helpers #set-options "--z3rlimit 25 --fuel 0 --ifuel 0"
{ "checked_file": "/", "dependencies": [ "Spec.Hash.Definitions.fst.checked", "Spec.Agile.HMAC.fsti.checked", "prims.fst.checked", "LowStar.Modifies.fst.checked", "LowStar.Buffer.fst.checked", "Lib.IntTypes.fsti.checked", "Hacl.Hash.Definitions.fst.checked", "FStar.UInt32.fsti.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.HyperStack.ST.fsti.checked", "EverCrypt.Helpers.fsti.checked" ], "interface_file": false, "source_file": "Hacl.HMAC.fsti" }
[ { "abbrev": false, "full_module": "EverCrypt.Helpers", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "Spec.Hash.Definitions", "short_module": null }, { "abbrev": false, "full_module": "Spec.Agile.HMAC", "short_module": null }, { "abbrev": true, "full_module": "Hacl.Hash.Definitions", "short_module": "D" }, { "abbrev": true, "full_module": "LowStar.Buffer", "short_module": "B" }, { "abbrev": false, "full_module": "Hacl", "short_module": null }, { "abbrev": false, "full_module": "Hacl", "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": 25, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Spec.Hash.Definitions.hash_alg -> FStar.Pervasives.Lemma (ensures Spec.Hash.Definitions.less_than_max_input_length (Spec.Hash.Definitions.block_length a + Prims.pow2 32) a)
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Spec.Hash.Definitions.hash_alg", "FStar.Pervasives.assert_norm", "Prims.b2t", "Prims.op_LessThan", "Prims.pow2", "Prims.unit", "Prims.op_Addition", "FStar.Mul.op_Star", "Prims.l_True", "Prims.squash", "Spec.Hash.Definitions.less_than_max_input_length", "Spec.Hash.Definitions.block_length", "Prims.Nil", "FStar.Pervasives.pattern" ]
[]
true
false
true
false
false
let key_and_data_fits (a: hash_alg) : Lemma (ensures ((block_length a + pow2 32) `less_than_max_input_length` a)) =
let open FStar.Mul in assert_norm (8 * 16 + pow2 32 < pow2 61); assert_norm (pow2 61 < pow2 125)
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.reorder
val reorder : orig:va_code -> hint:va_code -> va_transformation_result
val reorder : orig:va_code -> hint:va_code -> va_transformation_result
let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 8, "end_line": 56, "start_col": 0, "start_line": 48 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> hint: Vale.X64.Decls.va_code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Decls.va_code", "Vale.Transformers.Transform.transformation_result_of_possibly_codes", "Vale.X64.Lemmas.code_modifies_ghost", "Vale.Def.PossiblyMonad.Err", "Vale.X64.Lemmas.codes", "Prims.bool", "Vale.Def.PossiblyMonad.op_let_Plus", "Vale.Transformers.InstructionReorder.transformation_hints", "Vale.X64.Machine_Semantics_s.codes", "Vale.Transformers.InstructionReorder.find_transformation_hints", "Prims.Cons", "Vale.X64.Bytes_Code_s.code_t", "Vale.X64.Machine_Semantics_s.instr_annotation", "Prims.Nil", "Vale.Transformers.InstructionReorder.perform_reordering_with_hints", "Prims.unit", "Vale.Transformers.Transform.prints_to_same_code", "Vale.X64.Machine_s.Block", "Vale.X64.Bytes_Code_s.instruction_t", "Vale.X64.Bytes_Code_s.ocmp", "Vale.Def.PossiblyMonad.return", "Vale.Def.PossiblyMonad.possibly", "Vale.Transformers.InstructionReorder.purge_empty_codes", "Vale.X64.Decls.va_transformation_result" ]
[]
false
false
false
true
false
let reorder orig hint =
transformation_result_of_possibly_codes (if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in let+ _ = prints_to_same_code (Block transformed) hint in return transformed) orig
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.check_if_same_printed_code
val check_if_same_printed_code : orig:va_code -> hint:va_code -> va_transformation_result
val check_if_same_printed_code : orig:va_code -> hint:va_code -> va_transformation_result
let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; }
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 110, "start_col": 0, "start_line": 106 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation"
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> hint: Vale.X64.Decls.va_code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.Mkva_transformation_result", "Vale.Transformers.Transform.prints_to_same_code", "Vale.X64.Decls.va_transformation_result" ]
[]
false
false
false
true
false
let check_if_same_printed_code orig hint =
{ success = prints_to_same_code orig hint; result = orig }
false
Hacl.Impl.Frodo.KEM.Decaps.fst
Hacl.Impl.Frodo.KEM.Decaps.get_bpp_cp_matrices_
val get_bpp_cp_matrices_: a:FP.frodo_alg -> gen_a:FP.frodo_gen_a{is_supported gen_a} -> mu_decode:lbytes (bytes_mu a) -> sk:lbytes (crypto_secretkeybytes a) -> bpp_matrix:matrix_t params_nbar (params_n a) -> cp_matrix:matrix_t params_nbar params_nbar -> sp_matrix:matrix_t params_nbar (params_n a) -> ep_matrix:matrix_t params_nbar (params_n a) -> epp_matrix:matrix_t params_nbar params_nbar -> Stack unit (requires fun h -> live h mu_decode /\ live h sk /\ live h bpp_matrix /\ live h cp_matrix /\ live h sp_matrix /\ live h ep_matrix /\ live h epp_matrix /\ loc_pairwise_disjoint [loc mu_decode; loc sk; loc bpp_matrix; loc cp_matrix; loc sp_matrix; loc ep_matrix; loc epp_matrix]) (ensures fun h0 _ h1 -> modifies (loc bpp_matrix |+| loc cp_matrix) h0 h1 /\ (as_matrix h1 bpp_matrix, as_matrix h1 cp_matrix) == S.get_bpp_cp_matrices_ a gen_a (as_seq h0 mu_decode) (as_seq h0 sk) (as_matrix h0 sp_matrix) (as_matrix h0 ep_matrix) (as_matrix h0 epp_matrix))
val get_bpp_cp_matrices_: a:FP.frodo_alg -> gen_a:FP.frodo_gen_a{is_supported gen_a} -> mu_decode:lbytes (bytes_mu a) -> sk:lbytes (crypto_secretkeybytes a) -> bpp_matrix:matrix_t params_nbar (params_n a) -> cp_matrix:matrix_t params_nbar params_nbar -> sp_matrix:matrix_t params_nbar (params_n a) -> ep_matrix:matrix_t params_nbar (params_n a) -> epp_matrix:matrix_t params_nbar params_nbar -> Stack unit (requires fun h -> live h mu_decode /\ live h sk /\ live h bpp_matrix /\ live h cp_matrix /\ live h sp_matrix /\ live h ep_matrix /\ live h epp_matrix /\ loc_pairwise_disjoint [loc mu_decode; loc sk; loc bpp_matrix; loc cp_matrix; loc sp_matrix; loc ep_matrix; loc epp_matrix]) (ensures fun h0 _ h1 -> modifies (loc bpp_matrix |+| loc cp_matrix) h0 h1 /\ (as_matrix h1 bpp_matrix, as_matrix h1 cp_matrix) == S.get_bpp_cp_matrices_ a gen_a (as_seq h0 mu_decode) (as_seq h0 sk) (as_matrix h0 sp_matrix) (as_matrix h0 ep_matrix) (as_matrix h0 epp_matrix))
let get_bpp_cp_matrices_ a gen_a mu_decode sk bpp_matrix cp_matrix sp_matrix ep_matrix epp_matrix = FP.expand_crypto_secretkeybytes a; FP.expand_crypto_publickeybytes a; let pk = sub sk (crypto_bytes a) (crypto_publickeybytes a) in let seed_a = sub pk 0ul bytes_seed_a in let b = sub pk bytes_seed_a (crypto_publickeybytes a -! bytes_seed_a) in frodo_mul_add_sa_plus_e a gen_a seed_a sp_matrix ep_matrix bpp_matrix; frodo_mul_add_sb_plus_e_plus_mu a mu_decode b sp_matrix epp_matrix cp_matrix; mod_pow2 (params_logq a) bpp_matrix; mod_pow2 (params_logq a) cp_matrix
{ "file_name": "code/frodo/Hacl.Impl.Frodo.KEM.Decaps.fst", "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": 104 }
module Hacl.Impl.Frodo.KEM.Decaps open FStar.HyperStack open FStar.HyperStack.ST open FStar.Mul open LowStar.Buffer open Lib.IntTypes open Lib.Buffer open Hacl.Impl.Matrix open Hacl.Impl.Frodo.Params open Hacl.Impl.Frodo.KEM open Hacl.Impl.Frodo.KEM.Encaps open Hacl.Impl.Frodo.Encode open Hacl.Impl.Frodo.Pack open Hacl.Impl.Frodo.Sample open Hacl.Frodo.Random module ST = FStar.HyperStack.ST module LSeq = Lib.Sequence module FP = Spec.Frodo.Params module KG = Hacl.Impl.Frodo.KEM.KeyGen module S = Spec.Frodo.KEM.Decaps module M = Spec.Matrix #set-options "--z3rlimit 100 --fuel 0 --ifuel 0" inline_for_extraction noextract val get_bp_c_matrices: a:FP.frodo_alg -> ct:lbytes (crypto_ciphertextbytes a) -> bp_matrix:matrix_t params_nbar (params_n a) -> c_matrix:matrix_t params_nbar params_nbar -> Stack unit (requires fun h -> live h ct /\ live h bp_matrix /\ live h c_matrix /\ disjoint bp_matrix ct /\ disjoint c_matrix ct /\ disjoint bp_matrix c_matrix) (ensures fun h0 _ h1 -> modifies (loc bp_matrix |+| loc c_matrix) h0 h1 /\ (as_matrix h1 bp_matrix, as_matrix h1 c_matrix) == S.get_bp_c_matrices a (as_seq h0 ct)) let get_bp_c_matrices a ct bp_matrix c_matrix = let c1 = sub ct 0ul (ct1bytes_len a) in let c2 = sub ct (ct1bytes_len a) (ct2bytes_len a) in frodo_unpack params_nbar (params_n a) (params_logq a) c1 bp_matrix; frodo_unpack params_nbar params_nbar (params_logq a) c2 c_matrix inline_for_extraction noextract val frodo_mu_decode: a:FP.frodo_alg -> s_bytes:lbytes (secretmatrixbytes_len a) -> bp_matrix:matrix_t params_nbar (params_n a) -> c_matrix:matrix_t params_nbar params_nbar -> mu_decode:lbytes (bytes_mu a) -> Stack unit (requires fun h -> live h s_bytes /\ live h bp_matrix /\ live h c_matrix /\ live h mu_decode /\ disjoint mu_decode s_bytes /\ as_seq h (mu_decode) == Seq.create (v (bytes_mu a)) (u8 0)) (ensures fun h0 _ h1 -> modifies (loc mu_decode) h0 h1 /\ as_seq h1 mu_decode == S.frodo_mu_decode a (as_seq h0 s_bytes) (as_matrix h0 bp_matrix) (as_matrix h0 c_matrix)) let frodo_mu_decode a s_bytes bp_matrix c_matrix mu_decode = push_frame(); let s_matrix = matrix_create (params_n a) params_nbar in let m_matrix = matrix_create params_nbar params_nbar in matrix_from_lbytes s_bytes s_matrix; matrix_mul_s bp_matrix s_matrix m_matrix; matrix_sub c_matrix m_matrix; frodo_key_decode (params_logq a) (params_extracted_bits a) params_nbar m_matrix mu_decode; clear_matrix s_matrix; clear_matrix m_matrix; pop_frame() inline_for_extraction noextract val get_bpp_cp_matrices_: a:FP.frodo_alg -> gen_a:FP.frodo_gen_a{is_supported gen_a} -> mu_decode:lbytes (bytes_mu a) -> sk:lbytes (crypto_secretkeybytes a) -> bpp_matrix:matrix_t params_nbar (params_n a) -> cp_matrix:matrix_t params_nbar params_nbar -> sp_matrix:matrix_t params_nbar (params_n a) -> ep_matrix:matrix_t params_nbar (params_n a) -> epp_matrix:matrix_t params_nbar params_nbar -> Stack unit (requires fun h -> live h mu_decode /\ live h sk /\ live h bpp_matrix /\ live h cp_matrix /\ live h sp_matrix /\ live h ep_matrix /\ live h epp_matrix /\ loc_pairwise_disjoint [loc mu_decode; loc sk; loc bpp_matrix; loc cp_matrix; loc sp_matrix; loc ep_matrix; loc epp_matrix]) (ensures fun h0 _ h1 -> modifies (loc bpp_matrix |+| loc cp_matrix) h0 h1 /\ (as_matrix h1 bpp_matrix, as_matrix h1 cp_matrix) == S.get_bpp_cp_matrices_ a gen_a (as_seq h0 mu_decode) (as_seq h0 sk) (as_matrix h0 sp_matrix) (as_matrix h0 ep_matrix) (as_matrix h0 epp_matrix))
{ "checked_file": "/", "dependencies": [ "Spec.Matrix.fst.checked", "Spec.Frodo.Params.fst.checked", "Spec.Frodo.KEM.Decaps.fst.checked", "prims.fst.checked", "LowStar.Buffer.fst.checked", "Lib.Sequence.fsti.checked", "Lib.IntTypes.fsti.checked", "Lib.ByteBuffer.fsti.checked", "Lib.Buffer.fsti.checked", "Hacl.Impl.Matrix.fst.checked", "Hacl.Impl.Frodo.Sample.fst.checked", "Hacl.Impl.Frodo.Params.fst.checked", "Hacl.Impl.Frodo.Pack.fst.checked", "Hacl.Impl.Frodo.KEM.KeyGen.fst.checked", "Hacl.Impl.Frodo.KEM.Encaps.fst.checked", "Hacl.Impl.Frodo.KEM.fst.checked", "Hacl.Impl.Frodo.Encode.fst.checked", "Hacl.Frodo.Random.fsti.checked", "FStar.UInt32.fsti.checked", "FStar.Seq.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.HyperStack.ST.fsti.checked", "FStar.HyperStack.fst.checked" ], "interface_file": false, "source_file": "Hacl.Impl.Frodo.KEM.Decaps.fst" }
[ { "abbrev": true, "full_module": "Spec.Matrix", "short_module": "M" }, { "abbrev": true, "full_module": "Spec.Frodo.KEM.Decaps", "short_module": "S" }, { "abbrev": true, "full_module": "Hacl.Impl.Frodo.KEM.KeyGen", "short_module": "KG" }, { "abbrev": true, "full_module": "Spec.Frodo.Params", "short_module": "FP" }, { "abbrev": true, "full_module": "Lib.Sequence", "short_module": "LSeq" }, { "abbrev": true, "full_module": "FStar.HyperStack.ST", "short_module": "ST" }, { "abbrev": false, "full_module": "Hacl.Frodo.Random", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Sample", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Pack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Encode", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.KEM.Encaps", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.KEM", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.Params", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Matrix", "short_module": null }, { "abbrev": false, "full_module": "Lib.Buffer", "short_module": null }, { "abbrev": false, "full_module": "Lib.IntTypes", "short_module": null }, { "abbrev": false, "full_module": "LowStar.Buffer", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack.ST", "short_module": null }, { "abbrev": false, "full_module": "FStar.HyperStack", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.KEM", "short_module": null }, { "abbrev": false, "full_module": "Hacl.Impl.Frodo.KEM", "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": 100, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
a: Spec.Frodo.Params.frodo_alg -> gen_a: Spec.Frodo.Params.frodo_gen_a{Hacl.Impl.Frodo.Params.is_supported gen_a} -> mu_decode: Hacl.Impl.Matrix.lbytes (Hacl.Impl.Frodo.Params.bytes_mu a) -> sk: Hacl.Impl.Matrix.lbytes (Hacl.Impl.Frodo.Params.crypto_secretkeybytes a) -> bpp_matrix: Hacl.Impl.Matrix.matrix_t Hacl.Impl.Frodo.Params.params_nbar (Hacl.Impl.Frodo.Params.params_n a) -> cp_matrix: Hacl.Impl.Matrix.matrix_t Hacl.Impl.Frodo.Params.params_nbar Hacl.Impl.Frodo.Params.params_nbar -> sp_matrix: Hacl.Impl.Matrix.matrix_t Hacl.Impl.Frodo.Params.params_nbar (Hacl.Impl.Frodo.Params.params_n a) -> ep_matrix: Hacl.Impl.Matrix.matrix_t Hacl.Impl.Frodo.Params.params_nbar (Hacl.Impl.Frodo.Params.params_n a) -> epp_matrix: Hacl.Impl.Matrix.matrix_t Hacl.Impl.Frodo.Params.params_nbar Hacl.Impl.Frodo.Params.params_nbar -> FStar.HyperStack.ST.Stack Prims.unit
FStar.HyperStack.ST.Stack
[]
[]
[ "Spec.Frodo.Params.frodo_alg", "Spec.Frodo.Params.frodo_gen_a", "Prims.b2t", "Hacl.Impl.Frodo.Params.is_supported", "Hacl.Impl.Matrix.lbytes", "Hacl.Impl.Frodo.Params.bytes_mu", "Hacl.Impl.Frodo.Params.crypto_secretkeybytes", "Hacl.Impl.Matrix.matrix_t", "Hacl.Impl.Frodo.Params.params_nbar", "Hacl.Impl.Frodo.Params.params_n", "Hacl.Impl.Matrix.mod_pow2", "Hacl.Impl.Frodo.Params.params_logq", "Prims.unit", "Hacl.Impl.Frodo.KEM.Encaps.frodo_mul_add_sb_plus_e_plus_mu", "Hacl.Impl.Frodo.KEM.Encaps.frodo_mul_add_sa_plus_e", "Lib.Buffer.lbuffer_t", "Lib.Buffer.MUT", "Lib.IntTypes.int_t", "Lib.IntTypes.U8", "Lib.IntTypes.SEC", "Lib.IntTypes.sub", "Lib.IntTypes.U32", "Lib.IntTypes.PUB", "Hacl.Impl.Frodo.Params.crypto_publickeybytes", "Hacl.Impl.Frodo.Params.bytes_seed_a", "Lib.Buffer.sub", "Lib.IntTypes.uint8", "Lib.IntTypes.op_Subtraction_Bang", "FStar.UInt32.__uint_to_t", "Hacl.Impl.Frodo.Params.crypto_bytes", "Spec.Frodo.Params.expand_crypto_publickeybytes", "Spec.Frodo.Params.expand_crypto_secretkeybytes" ]
[]
false
true
false
false
false
let get_bpp_cp_matrices_ a gen_a mu_decode sk bpp_matrix cp_matrix sp_matrix ep_matrix epp_matrix =
FP.expand_crypto_secretkeybytes a; FP.expand_crypto_publickeybytes a; let pk = sub sk (crypto_bytes a) (crypto_publickeybytes a) in let seed_a = sub pk 0ul bytes_seed_a in let b = sub pk bytes_seed_a (crypto_publickeybytes a -! bytes_seed_a) in frodo_mul_add_sa_plus_e a gen_a seed_a sp_matrix ep_matrix bpp_matrix; frodo_mul_add_sb_plus_e_plus_mu a mu_decode b sp_matrix epp_matrix cp_matrix; mod_pow2 (params_logq a) bpp_matrix; mod_pow2 (params_logq a) cp_matrix
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.machine_eval_code
val machine_eval_code : c: Vale.X64.Machine_Semantics_s.code -> fuel: Prims.nat -> s: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
let machine_eval_code = S.machine_eval_code
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 50, "end_line": 10, "start_col": 7, "start_line": 10 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
c: Vale.X64.Machine_Semantics_s.code -> fuel: Prims.nat -> s: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
Prims.Tot
[ "total", "" ]
[]
[ "Vale.X64.Machine_Semantics_s.machine_eval_code" ]
[]
false
false
false
true
false
let machine_eval_code =
S.machine_eval_code
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.prints_to_same_code
val prints_to_same_code (c1 c2: code) : pbool
val prints_to_same_code (c1 c2: code) : pbool
let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n")
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 8, "end_line": 43, "start_col": 0, "start_line": 35 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; }
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
c1: Vale.X64.StateLemmas.code -> c2: Vale.X64.StateLemmas.code -> Vale.Def.PossiblyMonad.pbool
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.StateLemmas.code", "Vale.Def.PossiblyMonad.op_Slash_Subtraction", "Prims.op_Equality", "FStar.Pervasives.Native.tuple2", "Prims.string", "Prims.int", "Vale.X64.Print_s.print_code", "Vale.X64.Print_s.gcc", "Prims.op_Hat", "FStar.Pervasives.Native.fst", "Vale.Def.PossiblyMonad.pbool" ]
[]
false
false
false
true
false
let prints_to_same_code (c1 c2: code) : pbool =
let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n")
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.combine_reg_taints
val combine_reg_taints (regs1 regs2: reg_taint) : reg_taint
val combine_reg_taints (regs1 regs2: reg_taint) : reg_taint
let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x))
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 76, "end_line": 21, "start_col": 0, "start_line": 20 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts))
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> Vale.X64.Leakage_s.reg_taint
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "FStar.FunctionalExtensionality.on", "Vale.X64.Machine_s.reg", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Leakage_Helpers.merge_taint" ]
[]
false
false
false
true
false
let combine_reg_taints (regs1 regs2: reg_taint) : reg_taint =
FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x))
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.machine_eval_codes
val machine_eval_codes : cs: Vale.X64.Machine_Semantics_s.codes -> fuel: Prims.nat -> s: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
let machine_eval_codes = S.machine_eval_codes
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 52, "end_line": 11, "start_col": 7, "start_line": 11 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
cs: Vale.X64.Machine_Semantics_s.codes -> fuel: Prims.nat -> s: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
Prims.Tot
[ "total", "" ]
[]
[ "Vale.X64.Machine_Semantics_s.machine_eval_codes" ]
[]
false
false
false
true
false
let machine_eval_codes =
S.machine_eval_codes
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.machine_eval_while
val machine_eval_while : cond: Vale.X64.Machine_Semantics_s.ocmp -> body: Vale.X64.Machine_Semantics_s.code -> fuel: Prims.nat -> s0: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
let machine_eval_while = S.machine_eval_while
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 52, "end_line": 12, "start_col": 7, "start_line": 12 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
cond: Vale.X64.Machine_Semantics_s.ocmp -> body: Vale.X64.Machine_Semantics_s.code -> fuel: Prims.nat -> s0: Vale.X64.Machine_Semantics_s.machine_state -> Prims.Tot (FStar.Pervasives.Native.option Vale.X64.Machine_Semantics_s.machine_state)
Prims.Tot
[ "total", "" ]
[]
[ "Vale.X64.Machine_Semantics_s.machine_eval_while" ]
[]
false
false
false
true
false
let machine_eval_while =
S.machine_eval_while
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.machine_eval_ocmp
val machine_eval_ocmp : s: Vale.X64.Machine_Semantics_s.machine_state -> c: Vale.X64.Machine_Semantics_s.ocmp -> Vale.X64.Machine_Semantics_s.machine_state * Prims.bool
let machine_eval_ocmp = S.machine_eval_ocmp
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 50, "end_line": 9, "start_col": 7, "start_line": 9 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 5, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
s: Vale.X64.Machine_Semantics_s.machine_state -> c: Vale.X64.Machine_Semantics_s.ocmp -> Vale.X64.Machine_Semantics_s.machine_state * Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Machine_Semantics_s.machine_eval_ocmp" ]
[]
false
false
false
true
false
let machine_eval_ocmp =
S.machine_eval_ocmp
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.taintstate_monotone_regs
val taintstate_monotone_regs : ts: Vale.X64.Leakage_s.reg_taint -> ts': Vale.X64.Leakage_s.reg_taint -> Prims.logical
let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r))
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 39, "end_line": 64, "start_col": 0, "start_line": 62 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_s.reg_taint -> ts': Vale.X64.Leakage_s.reg_taint -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.l_Forall", "Vale.X64.Machine_s.reg", "Prims.l_imp", "Prims.b2t", "Vale.Arch.HeapTypes_s.uu___is_Public", "Prims.logical" ]
[]
false
false
false
true
true
let taintstate_monotone_regs (ts ts': reg_taint) =
(forall (r: reg). {:pattern (ts' r)\/(ts r)} Public? (ts' r) ==> Public? (ts r))
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.taintstate_monotone
val taintstate_monotone : ts: Vale.X64.Leakage_Helpers.analysis_taints -> ts': Vale.X64.Leakage_Helpers.analysis_taints -> Prims.logical
let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint))
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 60, "end_line": 72, "start_col": 0, "start_line": 66 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r))
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> ts': Vale.X64.Leakage_Helpers.analysis_taints -> Prims.logical
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Prims.l_and", "Vale.X64.Leakage.taintstate_monotone_regs", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__regTaint", "Prims.l_imp", "Prims.b2t", "Vale.Arch.HeapTypes_s.uu___is_Public", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__flagsTaint", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__cfFlagsTaint", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__ofFlagsTaint", "Vale.X64.Leakage_s.leakage_taints", "Vale.X64.Leakage_Helpers.__proj__AnalysisTaints__item__lts", "Prims.logical" ]
[]
false
false
false
true
true
let taintstate_monotone (ts ts': analysis_taints) =
let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint))
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.lemma_check_if_same_printed_code
val lemma_check_if_same_printed_code : orig:va_code -> hint:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (check_if_same_printed_code orig hint).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
val lemma_check_if_same_printed_code : orig:va_code -> hint:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (check_if_same_printed_code orig hint).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 14, "end_line": 114, "start_col": 0, "start_line": 113 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; }
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> hint: Vale.X64.Decls.va_code -> transformed: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> 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.X64.Decls.va_fuel", "FStar.Pervasives.Native.Mktuple2", "FStar.Pervasives.Native.tuple2" ]
[]
false
false
false
false
false
let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM =
va_sM, va_fM
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.transformation_result_of_possibly_codes
val transformation_result_of_possibly_codes : c: Vale.Def.PossiblyMonad.possibly Vale.X64.Lemmas.codes -> if_fail: Vale.X64.StateLemmas.code -> Vale.X64.Decls.va_transformation_result
let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; }
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 5, "end_line": 33, "start_col": 0, "start_line": 24 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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.Def.PossiblyMonad.possibly Vale.X64.Lemmas.codes -> if_fail: Vale.X64.StateLemmas.code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.Def.PossiblyMonad.possibly", "Vale.X64.Lemmas.codes", "Vale.X64.StateLemmas.code", "Vale.X64.Decls.Mkva_transformation_result", "Vale.Def.PossiblyMonad.ttrue", "Vale.X64.Machine_s.Block", "Vale.X64.Bytes_Code_s.instruction_t", "Vale.X64.Machine_Semantics_s.instr_annotation", "Vale.X64.Bytes_Code_s.ocmp", "Prims.string", "Vale.Def.PossiblyMonad.ffalse", "Vale.X64.Decls.va_transformation_result" ]
[]
false
false
false
true
false
let transformation_result_of_possibly_codes (c: possibly codes) (if_fail: code) =
match c with | Ok c -> { success = ttrue; result = Block c } | Err reason -> { success = ffalse reason; result = if_fail }
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.combine_leakage_taints
val combine_leakage_taints (ts1 ts2: leakage_taints) : leakage_taints
val combine_leakage_taints (ts1 ts2: leakage_taints) : leakage_taints
let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 23, "end_line": 99, "start_col": 0, "start_line": 91 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = ()
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts1: Vale.X64.Leakage_s.leakage_taints -> ts2: Vale.X64.Leakage_s.leakage_taints -> Vale.X64.Leakage_s.leakage_taints
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.leakage_taints", "Vale.X64.Leakage_s.reg_taint", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Leakage_s.LeakageTaints", "Vale.X64.Leakage_Helpers.merge_taint", "Vale.X64.Leakage.combine_reg_taints" ]
[]
false
false
false
true
false
let combine_leakage_taints (ts1 ts2: leakage_taints) : leakage_taints =
let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2)
false
Vale.Poly1305.X64.fsti
Vale.Poly1305.X64.va_req_Poly1305
val va_req_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : prop
val va_req_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : prop
let va_req_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) : prop = (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)))
{ "file_name": "obj/Vale.Poly1305.X64.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 31, "end_line": 42, "start_col": 0, "start_line": 25 }
module Vale.Poly1305.X64 open Vale.Def.Opaque_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl 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.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Poly1305.Spec_s open Vale.Poly1305.Math open Vale.Poly1305.Util #reset-options "--z3rlimit 40" //-- Poly1305 val va_code_Poly1305 : win:bool -> Tot va_code
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.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.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.Poly1305.Util.fsti.checked", "Vale.Poly1305.Spec_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Poly1305.X64.fsti" }
[ { "abbrev": false, "full_module": "Vale.Poly1305.Util", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Spec_s", "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.InsStack", "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.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.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "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": 40, "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 -> ctx_b: Vale.X64.Memory.buffer64 -> inp_b: Vale.X64.Memory.buffer64 -> len_in: Vale.X64.Memory.nat64 -> finish_in: Vale.X64.Memory.nat64 -> Prims.prop
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Prims.l_and", "Vale.X64.Decls.va_require_total", "Vale.Poly1305.X64.va_code_Poly1305", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.eq2", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Stack_i.init_rsp", "Vale.X64.Decls.va_get_stack", "Vale.X64.Memory.is_initial_heap", "Vale.X64.Decls.va_get_mem_layout", "Vale.X64.Decls.va_get_mem", "Vale.X64.Decls.buffers_disjoint", "Vale.X64.Decls.validDstAddrs64", "Vale.Arch.HeapTypes_s.Public", "Vale.X64.Decls.validSrcAddrs64", "Vale.Poly1305.Util.readable_words", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRcx", "Prims.op_LessThan", "Prims.op_Addition", "Vale.X64.Machine_s.pow2_64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_int_range", "Prims.op_Subtraction", "Prims.op_Multiply", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Prims.prop" ]
[]
false
false
false
true
true
let va_req_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : prop =
(va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let ctx_in:(va_int_range 0 18446744073709551615) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let inp_in:(va_int_range 0 18446744073709551615) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in let p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) = (va_mul_nat n n) `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)))
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.lemma_reorder
val lemma_reorder : orig:va_code -> hint:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (reorder orig hint).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
val lemma_reorder : orig:va_code -> hint:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (reorder orig hint).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 19, "end_line": 101, "start_col": 0, "start_line": 76 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = ()
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> hint: Vale.X64.Decls.va_code -> transformed: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> 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.X64.Decls.va_fuel", "Vale.X64.Lemmas.code_modifies_ghost", "FStar.Pervasives.Native.Mktuple2", "Prims.bool", "Vale.Transformers.InstructionReorder.find_transformation_hints", "Prims.Cons", "Vale.X64.Bytes_Code_s.code_t", "Vale.X64.Machine_Semantics_s.instr_annotation", "Prims.Nil", "Prims.string", "Vale.Transformers.InstructionReorder.transformation_hints", "Vale.Transformers.InstructionReorder.perform_reordering_with_hints", "Vale.X64.Machine_Semantics_s.codes", "Vale.X64.Machine_Semantics_s.machine_state", "Prims.unit", "Prims._assert", "Vale.X64.Decls.va_ensure_total", "Vale.Transformers.Transform.equiv_states", "Vale.Transformers.InstructionReorder.equiv_states", "Vale.X64.Machine_Semantics_s.Mkmachine_state", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_ok", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_regs", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_flags", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_heap", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_stack", "Vale.X64.Machine_Semantics_s.__proj__Mkmachine_state__item__ms_stackTaint", "Vale.X64.Machine_s.observation", "Prims.eq2", "Vale.X64.StateLemmas.state_to_S", "Vale.X64.StateLemmas.lemma_to_of", "Vale.X64.State.vale_state", "Vale.X64.StateLemmas.state_of_S", "Vale.X64.Lemmas.eval_code", "Vale.Transformers.Transform.lemma_IR_equiv_states_to_equiv_states", "FStar.Pervasives.Native.tuple2", "FStar.Pervasives.Native.option", "Vale.X64.StateLemmas.machine_eval_code", "Vale.Transformers.Transform.lemma_codes_code", "Vale.Transformers.InstructionReorder.lemma_perform_reordering_with_hints", "Vale.Transformers.InstructionReorder.lemma_purge_empty_codes", "Vale.Transformers.Transform.lemma_code_codes", "Vale.Transformers.InstructionReorder.purge_empty_codes" ]
[]
false
false
false
false
false
let lemma_reorder orig hint transformed va_s0 va_sM va_fM =
if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({ s with ms_trace = [] } == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == { s' with ms_trace = [] }); assert (state_to_S va_sM == { s with ms_trace = [] }); assert (IR.equiv_states ({ s with ms_trace = [] }) ({ s' with ms_trace = [] })); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_public_register
val count_public_register : regs: Vale.X64.Leakage_s.reg_taint -> r: Vale.X64.Machine_s.reg -> Prims.int
let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 86, "end_line": 122, "start_col": 0, "start_line": 122 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs: Vale.X64.Leakage_s.reg_taint -> r: Vale.X64.Machine_s.reg -> Prims.int
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Vale.X64.Machine_s.reg", "Vale.Arch.HeapTypes_s.uu___is_Public", "Prims.bool", "Prims.int" ]
[]
false
false
false
true
false
let count_public_register (regs: reg_taint) (r: reg) =
if Public? (regs r) then 1 else 0
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_flagTaint
val count_flagTaint (ts: analysis_taints) : nat
val count_flagTaint (ts: analysis_taints) : nat
let count_flagTaint (ts:analysis_taints) : nat = if Public? ts.lts.flagsTaint then 1 else 0
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 91, "end_line": 161, "start_col": 0, "start_line": 161 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1) let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1) let rec lemma_count_public_registers (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k ) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r:reg).{:pattern regs1 r \/ regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r) ) = if k > 0 then ( let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1) )
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Vale.Arch.HeapTypes_s.uu___is_Public", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__flagsTaint", "Vale.X64.Leakage_Helpers.__proj__AnalysisTaints__item__lts", "Prims.bool", "Prims.nat" ]
[]
false
false
false
true
false
let count_flagTaint (ts: analysis_taints) : nat =
if Public? ts.lts.flagsTaint then 1 else 0
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.eq_regs_file
val eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : bool
val eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : bool
let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 93, "end_line": 25, "start_col": 0, "start_line": 23 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x))
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> rf: Vale.X64.Machine_s.reg_file_id -> k: Prims.nat{k <= Vale.X64.Machine_s.n_regs rf} -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Vale.X64.Machine_s.reg_file_id", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_regs", "Prims.op_Equality", "Prims.int", "Prims.bool", "Prims.op_AmpAmp", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Machine_s.Reg", "Prims.op_Subtraction", "Vale.X64.Leakage.eq_regs_file" ]
[ "recursion" ]
false
false
false
false
false
let rec eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : bool =
if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1)
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.movbe_elim
val movbe_elim : orig:va_code -> va_transformation_result
val movbe_elim : orig:va_code -> va_transformation_result
let movbe_elim = PH.peephole_transform ME.movbe_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 40, "end_line": 119, "start_col": 0, "start_line": 118 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap.
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.Transformers.PeepHole.peephole_transform", "Vale.Transformers.MovbeElim.movbe_elim_ph" ]
[]
false
false
false
true
false
let movbe_elim =
PH.peephole_transform ME.movbe_elim_ph
false
Vale.Poly1305.X64.fsti
Vale.Poly1305.X64.va_ens_Poly1305
val va_ens_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_sM: va_state) (va_fM: va_fuel) : prop
val va_ens_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_sM: va_state) (va_fM: va_fuel) : prop
let va_ens_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_Poly1305 va_b0 va_s0 win ctx_b inp_b len_in finish_in /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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))))))))))))))))))))))))
{ "file_name": "obj/Vale.Poly1305.X64.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 33, "end_line": 85, "start_col": 0, "start_line": 43 }
module Vale.Poly1305.X64 open Vale.Def.Opaque_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl 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.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Poly1305.Spec_s open Vale.Poly1305.Math open Vale.Poly1305.Util #reset-options "--z3rlimit 40" //-- Poly1305 val va_code_Poly1305 : win:bool -> Tot va_code val va_codegen_success_Poly1305 : win:bool -> Tot va_pbool let va_req_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) : prop = (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in <
{ "checked_file": "/", "dependencies": [ "Vale.X64.State.fsti.checked", "Vale.X64.Stack_i.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.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.Poly1305.Util.fsti.checked", "Vale.Poly1305.Spec_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Poly1305.X64.fsti" }
[ { "abbrev": false, "full_module": "Vale.Poly1305.Util", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Spec_s", "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.InsStack", "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.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.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "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": 40, "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 -> ctx_b: Vale.X64.Memory.buffer64 -> inp_b: Vale.X64.Memory.buffer64 -> len_in: Vale.X64.Memory.nat64 -> finish_in: Vale.X64.Memory.nat64 -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> Prims.prop
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Decls.va_code", "Vale.X64.Decls.va_state", "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Vale.X64.Decls.va_fuel", "Prims.l_and", "Vale.Poly1305.X64.va_req_Poly1305", "Vale.X64.Decls.va_ensure_total", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Vale.Poly1305.Util.modifies_buffer", "Vale.X64.Decls.va_get_mem", "Prims.l_imp", "Prims.eq2", "Prims.int", "Vale.Poly1305.Spec_s.modp", "Vale.Poly1305.Spec_s.poly1305_hash_blocks", "Vale.X64.Decls.va_mul_nat", "Vale.Poly1305.Spec_s.make_r", "Prims.op_Division", "Prims.op_LessThan", "Vale.Poly1305.Spec_s.poly1305_hash_all", "Vale.Def.Types_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rR12", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR15", "Vale.Poly1305.Util.t_seqTo128", "Vale.Poly1305.Util.seqTo128", "Vale.X64.Decls.buffer64_as_seq", "Vale.Poly1305.Math.lowerUpper192", "Vale.Def.Words_s.nat128", "Vale.Poly1305.Math.lowerUpper128", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_int_range", "Prims.op_Subtraction", "Prims.op_Multiply", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rRcx", "Vale.X64.Decls.va_state_eq", "Vale.X64.Decls.va_update_stackTaint", "Vale.X64.Decls.va_update_stack", "Vale.X64.Decls.va_update_mem_layout", "Vale.X64.Decls.va_update_mem_heaplet", "Vale.X64.Decls.va_update_flags", "Vale.X64.Decls.va_update_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rR8", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_update_ok", "Vale.X64.Decls.va_update_mem", "Prims.prop" ]
[]
false
false
false
true
true
let va_ens_Poly1305 (va_b0: va_code) (va_s0: va_state) (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_sM: va_state) (va_fM: va_fuel) : prop =
(va_req_Poly1305 va_b0 va_s0 win ctx_b inp_b len_in finish_in /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let ctx_in:(va_int_range 0 18446744073709551615) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let inp_in:(va_int_range 0 18446744073709551615) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in let p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) = (va_mul_nat n n) `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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 )))))) ))))))))))))))))))
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_ofFlagTaint
val count_ofFlagTaint (ts: analysis_taints) : nat
val count_ofFlagTaint (ts: analysis_taints) : nat
let count_ofFlagTaint (ts:analysis_taints) : nat = if Public? ts.lts.ofFlagsTaint then 1 else 0
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 95, "end_line": 165, "start_col": 0, "start_line": 165 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1) let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1) let rec lemma_count_public_registers (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k ) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r:reg).{:pattern regs1 r \/ regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r) ) = if k > 0 then ( let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1) ) let count_flagTaint (ts:analysis_taints) : nat = if Public? ts.lts.flagsTaint then 1 else 0 let count_cfFlagTaint (ts:analysis_taints) : nat = if Public? ts.lts.cfFlagsTaint then 1 else 0
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Vale.Arch.HeapTypes_s.uu___is_Public", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__ofFlagsTaint", "Vale.X64.Leakage_Helpers.__proj__AnalysisTaints__item__lts", "Prims.bool", "Prims.nat" ]
[]
false
false
false
true
false
let count_ofFlagTaint (ts: analysis_taints) : nat =
if Public? ts.lts.ofFlagsTaint then 1 else 0
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.lemma_prefetch_elim
val lemma_prefetch_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (prefetch_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
val lemma_prefetch_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (prefetch_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
let lemma_prefetch_elim = PH.lemma_peephole_transform Vale.Transformers.PrefetchElim.prefetch_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 77, "end_line": 138, "start_col": 0, "start_line": 137 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap. let movbe_elim = PH.peephole_transform ME.movbe_elim_ph let lemma_movbe_elim = PH.lemma_peephole_transform ME.movbe_elim_ph /// Transformation to replace mov + mov -> mov. let mov_mov_elim = PH.peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph let lemma_mov_mov_elim = PH.lemma_peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph /// Transformation to eliminate prefetches let prefetch_elim = PH.peephole_transform Vale.Transformers.PrefetchElim.prefetch_elim_ph
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> transformed: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
Prims.Ghost
[]
[]
[ "Vale.Transformers.PeepHole.lemma_peephole_transform", "Vale.Transformers.PrefetchElim.prefetch_elim_ph" ]
[]
false
false
false
false
false
let lemma_prefetch_elim =
PH.lemma_peephole_transform Vale.Transformers.PrefetchElim.prefetch_elim_ph
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_cfFlagTaint
val count_cfFlagTaint (ts: analysis_taints) : nat
val count_cfFlagTaint (ts: analysis_taints) : nat
let count_cfFlagTaint (ts:analysis_taints) : nat = if Public? ts.lts.cfFlagsTaint then 1 else 0
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 95, "end_line": 163, "start_col": 0, "start_line": 163 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1) let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1) let rec lemma_count_public_registers (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k ) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r:reg).{:pattern regs1 r \/ regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r) ) = if k > 0 then ( let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1) ) let count_flagTaint (ts:analysis_taints) : nat = if Public? ts.lts.flagsTaint then 1 else 0
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Vale.Arch.HeapTypes_s.uu___is_Public", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__cfFlagsTaint", "Vale.X64.Leakage_Helpers.__proj__AnalysisTaints__item__lts", "Prims.bool", "Prims.nat" ]
[]
false
false
false
true
false
let count_cfFlagTaint (ts: analysis_taints) : nat =
if Public? ts.lts.cfFlagsTaint then 1 else 0
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.normalize_taints
val normalize_taints (ts: analysis_taints) : analysis_taints
val normalize_taints (ts: analysis_taints) : analysis_taints
let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts))
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 52, "end_line": 18, "start_col": 0, "start_line": 16 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1"
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> Vale.X64.Leakage_Helpers.analysis_taints
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Vale.X64.Leakage_s.leakage_taints", "Vale.X64.Leakage_Helpers.regmap", "Vale.X64.Leakage_Helpers.is_map_of", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__regTaint", "Vale.X64.Leakage_Helpers.AnalysisTaints", "Vale.X64.Leakage_Helpers.regs_to_map", "Vale.X64.Leakage_Helpers.map_to_regs" ]
[]
false
false
false
true
false
let normalize_taints (ts: analysis_taints) : analysis_taints =
let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts))
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.mov_mov_elim
val mov_mov_elim : orig:va_code -> va_transformation_result
val mov_mov_elim : orig:va_code -> va_transformation_result
let mov_mov_elim = PH.peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 68, "end_line": 127, "start_col": 0, "start_line": 126 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap. let movbe_elim = PH.peephole_transform ME.movbe_elim_ph let lemma_movbe_elim = PH.lemma_peephole_transform ME.movbe_elim_ph /// Transformation to replace mov + mov -> mov.
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.Transformers.PeepHole.peephole_transform", "Vale.Transformers.MovMovElim.mov_mov_elim_ph" ]
[]
false
false
false
true
false
let mov_mov_elim =
PH.peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph
false
Vale.Poly1305.X64.fsti
Vale.Poly1305.X64.va_quick_Poly1305
val va_quick_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : (va_quickCode unit (va_code_Poly1305 win))
val va_quick_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : (va_quickCode unit (va_code_Poly1305 win))
let va_quick_Poly1305 (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) : (va_quickCode unit (va_code_Poly1305 win)) = (va_QProc (va_code_Poly1305 win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_flags; 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 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem]) (va_wp_Poly1305 win ctx_b inp_b len_in finish_in) (va_wpProof_Poly1305 win ctx_b inp_b len_in finish_in))
{ "file_name": "obj/Vale.Poly1305.X64.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 83, "end_line": 227, "start_col": 0, "start_line": 220 }
module Vale.Poly1305.X64 open Vale.Def.Opaque_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl 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.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Poly1305.Spec_s open Vale.Poly1305.Math open Vale.Poly1305.Util #reset-options "--z3rlimit 40" //-- Poly1305 val va_code_Poly1305 : win:bool -> Tot va_code val va_codegen_success_Poly1305 : win:bool -> Tot va_pbool let va_req_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) : prop = (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2))) let va_ens_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_Poly1305 va_b0 va_s0 win ctx_b inp_b len_in finish_in /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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_Poly1305 : va_b0:va_code -> va_s0:va_state -> win:bool -> ctx_b:buffer64 -> inp_b:buffer64 -> len_in:nat64 -> finish_in:nat64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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_qattr] let va_wp_Poly1305 (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) /\ finish_in == va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64) (va_x_rbp:nat64) (va_x_rsp: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_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl (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 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRsi va_x_rsi (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 (ctx_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_k va_sM (()))) val va_wpProof_Poly1305 : win:bool -> ctx_b:buffer64 -> inp_b:buffer64 -> len_in:nat64 -> finish_in:nat64 -> va_s0:va_state -> va_k:(va_state -> unit -> Type0) -> Ghost (va_state & va_fuel & unit) (requires (va_t_require va_s0 /\ va_wp_Poly1305 win ctx_b inp_b len_in finish_in va_s0 va_k)) (ensures (fun (va_sM, va_f0, va_g) -> va_t_ensure (va_code_Poly1305 win) ([va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_flags; 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 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; 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.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.Poly1305.Util.fsti.checked", "Vale.Poly1305.Spec_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Poly1305.X64.fsti" }
[ { "abbrev": false, "full_module": "Vale.Poly1305.Util", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Spec_s", "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.InsStack", "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.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.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "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": 40, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
win: Prims.bool -> ctx_b: Vale.X64.Memory.buffer64 -> inp_b: Vale.X64.Memory.buffer64 -> len_in: Vale.X64.Memory.nat64 -> finish_in: Vale.X64.Memory.nat64 -> Vale.X64.QuickCode.va_quickCode Prims.unit (Vale.Poly1305.X64.va_code_Poly1305 win)
Prims.Tot
[ "total" ]
[]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Vale.X64.QuickCode.va_QProc", "Prims.unit", "Vale.Poly1305.X64.va_code_Poly1305", "Prims.Cons", "Vale.X64.QuickCode.mod_t", "Vale.X64.QuickCode.va_Mod_stackTaint", "Vale.X64.QuickCode.va_Mod_stack", "Vale.X64.QuickCode.va_Mod_mem_layout", "Vale.X64.QuickCode.va_Mod_mem_heaplet", "Vale.X64.QuickCode.va_Mod_flags", "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.rRsp", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rRdi", "Vale.X64.Machine_s.rRsi", "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", "Vale.Poly1305.X64.va_wp_Poly1305", "Vale.Poly1305.X64.va_wpProof_Poly1305", "Vale.X64.QuickCode.va_quickCode" ]
[]
false
false
false
false
false
let va_quick_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) : (va_quickCode unit (va_code_Poly1305 win)) =
(va_QProc (va_code_Poly1305 win) ([ va_Mod_stackTaint; va_Mod_stack; va_Mod_mem_layout; va_Mod_mem_heaplet 1; va_Mod_flags; 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 rRsp; va_Mod_reg64 rRbp; va_Mod_reg64 rRdi; va_Mod_reg64 rRsi; va_Mod_reg64 rRdx; va_Mod_reg64 rRcx; va_Mod_reg64 rRbx; va_Mod_reg64 rRax; va_Mod_mem ]) (va_wp_Poly1305 win ctx_b inp_b len_in finish_in) (va_wpProof_Poly1305 win ctx_b inp_b len_in finish_in))
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.eq_regs
val eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : bool
val eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : bool
let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 87, "end_line": 29, "start_col": 0, "start_line": 27 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1)
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> k: Prims.nat{k <= Vale.X64.Machine_s.n_reg_files} -> Prims.bool
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_reg_files", "Prims.op_Equality", "Prims.int", "Prims.bool", "Prims.op_AmpAmp", "Vale.X64.Leakage.eq_regs_file", "Prims.op_Subtraction", "Vale.X64.Machine_s.n_regs", "Vale.X64.Leakage.eq_regs" ]
[ "recursion" ]
false
false
false
false
false
let rec eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : bool =
if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1)
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.eq_leakage_taints
val eq_leakage_taints (ts1 ts2: leakage_taints) : (b: bool{b <==> ts1 == ts2})
val eq_leakage_taints (ts1 ts2: leakage_taints) : (b: bool{b <==> ts1 == ts2})
let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 37, "end_line": 60, "start_col": 0, "start_line": 56 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts1: Vale.X64.Leakage_s.leakage_taints -> ts2: Vale.X64.Leakage_s.leakage_taints -> b: Prims.bool{b <==> ts1 == ts2}
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.leakage_taints", "Prims.op_AmpAmp", "Vale.X64.Leakage.eq_registers", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__regTaint", "Prims.op_Equality", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__flagsTaint", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__cfFlagsTaint", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__ofFlagsTaint", "Prims.bool", "Prims.l_iff", "Prims.b2t", "Prims.eq2" ]
[]
false
false
false
false
false
let eq_leakage_taints (ts1 ts2: leakage_taints) : (b: bool{b <==> ts1 == ts2}) =
eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.lemma_movbe_elim
val lemma_movbe_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (movbe_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
val lemma_movbe_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (movbe_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
let lemma_movbe_elim = PH.lemma_peephole_transform ME.movbe_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 46, "end_line": 122, "start_col": 0, "start_line": 121 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap. let movbe_elim = PH.peephole_transform ME.movbe_elim_ph
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> transformed: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
Prims.Ghost
[]
[]
[ "Vale.Transformers.PeepHole.lemma_peephole_transform", "Vale.Transformers.MovbeElim.movbe_elim_ph" ]
[]
false
false
false
false
false
let lemma_movbe_elim =
PH.lemma_peephole_transform ME.movbe_elim_ph
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.eq_registers
val eq_registers (regs1 regs2: reg_taint) : (b: bool{b <==> regs1 == regs2})
val eq_registers (regs1 regs2: reg_taint) : (b: bool{b <==> regs1 == regs2})
let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 54, "start_col": 0, "start_line": 48 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) )
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> b: Prims.bool{b <==> regs1 == regs2}
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.unit", "Prims._assert", "FStar.FunctionalExtensionality.feq", "Vale.X64.Machine_s.reg", "Vale.Arch.HeapTypes_s.taint", "Prims.bool", "Vale.X64.Leakage.eq_regs", "Vale.X64.Machine_s.n_reg_files", "Vale.X64.Leakage.lemma_eq_regs", "Prims.l_iff", "Prims.b2t", "Prims.eq2" ]
[]
false
false
false
false
false
let eq_registers (regs1 regs2: reg_taint) : (b: bool{b <==> regs1 == regs2}) =
lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then (assert (FStar.FunctionalExtensionality.feq regs1 regs2)); b
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.lemma_eq_regs_file
val lemma_eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i: nat). {:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)))
val lemma_eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i: nat). {:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)))
let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 57, "end_line": 35, "start_col": 0, "start_line": 31 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1)
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> rf: Vale.X64.Machine_s.reg_file_id -> k: Prims.nat{k <= Vale.X64.Machine_s.n_regs rf} -> FStar.Pervasives.Lemma (ensures Vale.X64.Leakage.eq_regs_file regs1 regs2 rf k <==> (forall (i: Prims.nat). {:pattern Vale.X64.Machine_s.Reg rf i} i < k ==> regs1 (Vale.X64.Machine_s.Reg rf i) == regs2 (Vale.X64.Machine_s.Reg rf i)))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Vale.X64.Machine_s.reg_file_id", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_regs", "Prims.op_GreaterThan", "Vale.X64.Leakage.lemma_eq_regs_file", "Prims.op_Subtraction", "Prims.bool", "Prims.unit", "Prims.l_True", "Prims.squash", "Prims.l_iff", "Vale.X64.Leakage.eq_regs_file", "Prims.l_Forall", "Prims.l_imp", "Prims.op_LessThan", "Prims.eq2", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Machine_s.Reg", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_eq_regs_file (regs1 regs2: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i: nat). {:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) =
if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1)
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.lemma_mov_mov_elim
val lemma_mov_mov_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (mov_mov_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
val lemma_mov_mov_elim : orig:va_code -> transformed:va_code -> va_s0:va_state -> va_sM:va_state -> va_fM:va_fuel -> Ghost (va_state & va_fuel) (requires ( (va_require_total transformed (mov_mov_elim orig).result va_s0) /\ (va_get_ok va_s0) /\ (va_ensure_total orig va_s0 va_sM va_fM) /\ (va_get_ok va_sM))) (ensures (fun (va_sM', va_fM') -> (va_fM' == va_fM) /\ (equiv_states va_sM va_sM') /\ (va_ensure_total transformed va_s0 va_sM' va_fM') /\ (va_get_ok va_sM')))
let lemma_mov_mov_elim = PH.lemma_peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 74, "end_line": 130, "start_col": 0, "start_line": 129 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap. let movbe_elim = PH.peephole_transform ME.movbe_elim_ph let lemma_movbe_elim = PH.lemma_peephole_transform ME.movbe_elim_ph /// Transformation to replace mov + mov -> mov. let mov_mov_elim = PH.peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> transformed: Vale.X64.Decls.va_code -> va_s0: Vale.X64.Decls.va_state -> va_sM: Vale.X64.Decls.va_state -> va_fM: Vale.X64.Decls.va_fuel -> Prims.Ghost (Vale.X64.Decls.va_state * Vale.X64.Decls.va_fuel)
Prims.Ghost
[]
[]
[ "Vale.Transformers.PeepHole.lemma_peephole_transform", "Vale.Transformers.MovMovElim.mov_mov_elim_ph" ]
[]
false
false
false
false
false
let lemma_mov_mov_elim =
PH.lemma_peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.lemma_eq_regs
val lemma_eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i: nat) (j: nat). {:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j)))
val lemma_eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i: nat) (j: nat). {:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j)))
let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) )
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 46, "start_col": 0, "start_line": 37 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1)
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> k: Prims.nat{k <= Vale.X64.Machine_s.n_reg_files} -> FStar.Pervasives.Lemma (ensures Vale.X64.Leakage.eq_regs regs1 regs2 k <==> (forall (i: Prims.nat) (j: Prims.nat). {:pattern Vale.X64.Machine_s.Reg i j} i < k /\ j < Vale.X64.Machine_s.n_regs i ==> regs1 (Vale.X64.Machine_s.Reg i j) == regs2 (Vale.X64.Machine_s.Reg i j)))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_reg_files", "Prims.op_GreaterThan", "Vale.X64.Leakage.lemma_eq_regs", "Prims.op_Subtraction", "Prims.unit", "Vale.X64.Leakage.lemma_eq_regs_file", "Vale.X64.Machine_s.n_regs", "Prims.bool", "Prims.l_True", "Prims.squash", "Prims.l_iff", "Vale.X64.Leakage.eq_regs", "Prims.l_Forall", "Prims.l_imp", "Prims.l_and", "Prims.op_LessThan", "Prims.eq2", "Vale.Arch.HeapTypes_s.taint", "Vale.X64.Machine_s.Reg", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_eq_regs (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i: nat) (j: nat). {:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) =
if k > 0 then (lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1))
false
Vale.Poly1305.X64.fsti
Vale.Poly1305.X64.va_wp_Poly1305
val va_wp_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
val va_wp_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0
let va_wp_Poly1305 (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) (va_s0:va_state) (va_k:(va_state -> unit -> Type0)) : Type0 = (va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) /\ finish_in == va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)) /\ (forall (va_x_mem:vale_heap) (va_x_rax:nat64) (va_x_rbx:nat64) (va_x_rcx:nat64) (va_x_rdx:nat64) (va_x_rsi:nat64) (va_x_rdi:nat64) (va_x_rbp:nat64) (va_x_rsp: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_efl:Vale.X64.Flags.t) (va_x_heap1:vale_heap) (va_x_memLayout:vale_heap_layout) (va_x_stack:vale_stack) (va_x_stackTaint:memtaint) . let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl (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 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRsi va_x_rsi (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 (ctx_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_k va_sM (())))
{ "file_name": "obj/Vale.Poly1305.X64.fsti", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 38, "end_line": 207, "start_col": 0, "start_line": 147 }
module Vale.Poly1305.X64 open Vale.Def.Opaque_s open Vale.Def.Types_s open Vale.Arch.Types open Vale.Arch.HeapImpl 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.InsStack open Vale.X64.QuickCode open Vale.X64.QuickCodes open Vale.Poly1305.Spec_s open Vale.Poly1305.Math open Vale.Poly1305.Util #reset-options "--z3rlimit 40" //-- Poly1305 val va_code_Poly1305 : win:bool -> Tot va_code val va_codegen_success_Poly1305 : win:bool -> Tot va_pbool let va_req_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) : prop = (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2))) let va_ens_Poly1305 (va_b0:va_code) (va_s0:va_state) (win:bool) (ctx_b:buffer64) (inp_b:buffer64) (len_in:nat64) (finish_in:nat64) (va_sM:va_state) (va_fM:va_fuel) : prop = (va_req_Poly1305 va_b0 va_s0 win ctx_b inp_b len_in finish_in /\ va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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_Poly1305 : va_b0:va_code -> va_s0:va_state -> win:bool -> ctx_b:buffer64 -> inp_b:buffer64 -> len_in:nat64 -> finish_in:nat64 -> Ghost (va_state & va_fuel) (requires (va_require_total va_b0 (va_code_Poly1305 win) va_s0 /\ va_get_ok va_s0 /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == (if win then va_get_reg64 rR8 va_s0 else va_get_reg64 rRdx va_s0) /\ finish_in == (if win then va_get_reg64 rR9 va_s0 else va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)))) (ensures (fun (va_sM, va_fM) -> va_ensure_total va_b0 va_s0 va_sM va_fM /\ va_get_ok va_sM /\ (let (ctx_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRcx va_s0 else va_get_reg64 rRdi va_s0) in let (inp_in:(va_int_range 0 18446744073709551615)) = (if win then va_get_reg64 rRdx va_s0 else va_get_reg64 rRsi va_s0) in let (n:(va_int_range 18446744073709551616 18446744073709551616)) = 18446744073709551616 in let (p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819)) = va_mul_nat n n `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_state_eq va_sM (va_update_stackTaint va_sM (va_update_stack va_sM (va_update_mem_layout va_sM (va_update_mem_heaplet 1 va_sM (va_update_flags 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 rRsp va_sM (va_update_reg64 rRbp va_sM (va_update_reg64 rRdi va_sM (va_update_reg64 rRsi 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.QuickCodes.fsti.checked", "Vale.X64.QuickCode.fst.checked", "Vale.X64.Memory.fsti.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.InsStack.fsti.checked", "Vale.X64.InsMem.fsti.checked", "Vale.X64.InsBasic.fsti.checked", "Vale.X64.Flags.fsti.checked", "Vale.X64.Decls.fsti.checked", "Vale.Poly1305.Util.fsti.checked", "Vale.Poly1305.Spec_s.fst.checked", "Vale.Poly1305.Math.fsti.checked", "Vale.Def.Types_s.fst.checked", "Vale.Def.Opaque_s.fsti.checked", "Vale.Arch.Types.fsti.checked", "Vale.Arch.HeapImpl.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": false, "source_file": "Vale.Poly1305.X64.fsti" }
[ { "abbrev": false, "full_module": "Vale.Poly1305.Util", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Math", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305.Spec_s", "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.InsStack", "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.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.Opaque_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "short_module": null }, { "abbrev": false, "full_module": "Vale.Poly1305", "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": 40, "z3rlimit_factor": 1, "z3seed": 0, "z3smtopt": [], "z3version": "4.8.5" }
false
win: Prims.bool -> ctx_b: Vale.X64.Memory.buffer64 -> inp_b: Vale.X64.Memory.buffer64 -> len_in: Vale.X64.Memory.nat64 -> finish_in: Vale.X64.Memory.nat64 -> va_s0: Vale.X64.Decls.va_state -> va_k: (_: Vale.X64.Decls.va_state -> _: Prims.unit -> Type0) -> Type0
Prims.Tot
[ "total" ]
[]
[ "Prims.bool", "Vale.X64.Memory.buffer64", "Vale.X64.Memory.nat64", "Vale.X64.Decls.va_state", "Prims.unit", "Prims.l_and", "Prims.b2t", "Vale.X64.Decls.va_get_ok", "Prims.eq2", "Vale.Def.Words_s.nat64", "Vale.X64.Decls.va_get_reg64", "Vale.X64.Machine_s.rRsp", "Vale.X64.Stack_i.init_rsp", "Vale.X64.Decls.va_get_stack", "Vale.X64.Memory.is_initial_heap", "Vale.X64.Decls.va_get_mem_layout", "Vale.X64.Decls.va_get_mem", "Vale.X64.Decls.buffers_disjoint", "Vale.X64.Decls.validDstAddrs64", "Vale.Arch.HeapTypes_s.Public", "Vale.X64.Decls.validSrcAddrs64", "Vale.Poly1305.Util.readable_words", "Vale.X64.Decls.va_if", "Vale.Def.Types_s.nat64", "Vale.X64.Machine_s.rR8", "Prims.l_not", "Vale.X64.Machine_s.rRdx", "Vale.X64.Machine_s.rR9", "Vale.X64.Machine_s.rRcx", "Prims.op_LessThan", "Prims.op_Addition", "Vale.X64.Machine_s.pow2_64", "Vale.X64.Decls.buffer64_read", "Vale.X64.Decls.va_int_range", "Prims.op_Subtraction", "Prims.op_Multiply", "Vale.X64.Decls.va_mul_nat", "Vale.X64.Machine_s.rRsi", "Vale.X64.Machine_s.rRdi", "Prims.l_Forall", "Vale.X64.InsBasic.vale_heap", "Vale.X64.Flags.t", "Vale.Arch.HeapImpl.vale_heap_layout", "Vale.X64.InsBasic.vale_stack", "Vale.X64.Memory.memtaint", "Prims.l_imp", "Vale.Poly1305.Util.modifies_buffer", "Prims.int", "Vale.Poly1305.Spec_s.modp", "Vale.Poly1305.Spec_s.poly1305_hash_blocks", "Vale.Poly1305.Spec_s.make_r", "Prims.op_Division", "Vale.Poly1305.Spec_s.poly1305_hash_all", "Vale.X64.Machine_s.rRbx", "Vale.X64.Machine_s.rRbp", "Vale.X64.Machine_s.rR12", "Vale.X64.Machine_s.rR13", "Vale.X64.Machine_s.rR14", "Vale.X64.Machine_s.rR15", "Vale.Poly1305.Util.t_seqTo128", "Vale.Poly1305.Util.seqTo128", "Vale.X64.Decls.buffer64_as_seq", "Vale.Poly1305.Math.lowerUpper192", "Vale.Def.Words_s.nat128", "Vale.Poly1305.Math.lowerUpper128", "Vale.X64.State.vale_state", "Vale.X64.Decls.va_upd_stackTaint", "Vale.X64.Decls.va_upd_stack", "Vale.X64.Decls.va_upd_mem_layout", "Vale.X64.Decls.va_upd_mem_heaplet", "Vale.X64.Decls.va_upd_flags", "Vale.X64.Decls.va_upd_reg64", "Vale.X64.Machine_s.rR11", "Vale.X64.Machine_s.rR10", "Vale.X64.Machine_s.rRax", "Vale.X64.Decls.va_upd_mem" ]
[]
false
false
false
true
true
let va_wp_Poly1305 (win: bool) (ctx_b inp_b: buffer64) (len_in finish_in: nat64) (va_s0: va_state) (va_k: (va_state -> unit -> Type0)) : Type0 =
(va_get_ok va_s0 /\ (let ctx_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inp_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in let p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) = (va_mul_nat n n) `op_Multiply` 4 - 5 in 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) /\ Vale.X64.Decls.buffers_disjoint ctx_b inp_b /\ Vale.X64.Decls.validDstAddrs64 (va_get_mem va_s0) ctx_in ctx_b 24 (va_get_mem_layout va_s0) Public /\ Vale.X64.Decls.validSrcAddrs64 (va_get_mem va_s0) inp_in inp_b (Vale.Poly1305.Util.readable_words len_in) (va_get_mem_layout va_s0) Public /\ len_in == va_if win (fun _ -> va_get_reg64 rR8 va_s0) (fun _ -> va_get_reg64 rRdx va_s0) /\ finish_in == va_if win (fun _ -> va_get_reg64 rR9 va_s0) (fun _ -> va_get_reg64 rRcx va_s0) /\ (let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in h2_in < 5 /\ inp_in + len_in < pow2_64 /\ finish_in < 2)) /\ (forall (va_x_mem: vale_heap) (va_x_rax: nat64) (va_x_rbx: nat64) (va_x_rcx: nat64) (va_x_rdx: nat64) (va_x_rsi: nat64) (va_x_rdi: nat64) (va_x_rbp: nat64) (va_x_rsp: 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_efl: Vale.X64.Flags.t) (va_x_heap1: vale_heap) (va_x_memLayout: vale_heap_layout) (va_x_stack: vale_stack) (va_x_stackTaint: memtaint). let va_sM = va_upd_stackTaint va_x_stackTaint (va_upd_stack va_x_stack (va_upd_mem_layout va_x_memLayout (va_upd_mem_heaplet 1 va_x_heap1 (va_upd_flags va_x_efl (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 rRsp va_x_rsp (va_upd_reg64 rRbp va_x_rbp (va_upd_reg64 rRdi va_x_rdi (va_upd_reg64 rRsi va_x_rsi (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 ctx_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRcx va_s0) (fun _ -> va_get_reg64 rRdi va_s0) in let inp_in:(va_int_range 0 18446744073709551615) = va_if win (fun _ -> va_get_reg64 rRdx va_s0) (fun _ -> va_get_reg64 rRsi va_s0) in let n:(va_int_range 18446744073709551616 18446744073709551616) = 18446744073709551616 in let p:(va_int_range 1361129467683753853853498429727072845819 1361129467683753853853498429727072845819) = (va_mul_nat n n) `op_Multiply` 4 - 5 in Vale.Poly1305.Util.modifies_buffer ctx_b (va_get_mem va_s0) (va_get_mem va_sM) /\ (let h0_in = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_s0) in let h1_in = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_s0) in let h2_in = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_s0) in let key_r0 = Vale.X64.Decls.buffer64_read ctx_b 3 (va_get_mem va_s0) in let key_r1 = Vale.X64.Decls.buffer64_read ctx_b 4 (va_get_mem va_s0) in let key_s0 = Vale.X64.Decls.buffer64_read ctx_b 5 (va_get_mem va_s0) in let key_s1 = Vale.X64.Decls.buffer64_read ctx_b 6 (va_get_mem va_s0) in let h_in = Vale.Poly1305.Math.lowerUpper192 (Vale.Poly1305.Math.lowerUpper128 h0_in h1_in) h2_in in let key_r = Vale.Poly1305.Math.lowerUpper128 key_r0 key_r1 in let key_s = Vale.Poly1305.Math.lowerUpper128 key_s0 key_s1 in let h0_out = Vale.X64.Decls.buffer64_read ctx_b 0 (va_get_mem va_sM) in let h1_out = Vale.X64.Decls.buffer64_read ctx_b 1 (va_get_mem va_sM) in let h2_out = Vale.X64.Decls.buffer64_read ctx_b 2 (va_get_mem va_sM) in let h10 = Vale.Poly1305.Math.lowerUpper128 h0_out h1_out in let h210 = Vale.Poly1305.Math.lowerUpper192 h10 h2_out in let inp_mem = Vale.Poly1305.Util.seqTo128 (Vale.X64.Decls.buffer64_as_seq (va_get_mem va_sM) inp_b) in (finish_in == 0 ==> Vale.Poly1305.Spec_s.modp h210 == Vale.Poly1305.Spec_s.poly1305_hash_blocks (Vale.Poly1305.Spec_s.modp h_in) (va_mul_nat n n) (Vale.Poly1305.Spec_s.make_r key_r) inp_mem (len_in `op_Division` 16)) /\ (finish_in == 0 ==> h2_out < 5) /\ (finish_in == 1 ==> h10 == Vale.Poly1305.Spec_s.poly1305_hash_all (Vale.Poly1305.Spec_s.modp h_in) key_r key_s inp_mem len_in) /\ va_get_reg64 rRsp va_sM == va_get_reg64 rRsp 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) /\ va_get_reg64 rRbx va_sM == va_get_reg64 rRbx va_s0 /\ va_get_reg64 rRbp va_sM == va_get_reg64 rRbp 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_k va_sM (())))
false
Vale.Transformers.Transform.fst
Vale.Transformers.Transform.prefetch_elim
val prefetch_elim : orig:va_code -> va_transformation_result
val prefetch_elim : orig:va_code -> va_transformation_result
let prefetch_elim = PH.peephole_transform Vale.Transformers.PrefetchElim.prefetch_elim_ph
{ "file_name": "vale/code/lib/transformers/Vale.Transformers.Transform.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 71, "end_line": 135, "start_col": 0, "start_line": 134 }
module Vale.Transformers.Transform module BS = Vale.X64.Machine_Semantics_s open Vale.X64.Machine_Semantics_s open Vale.X64.Machine_s open Vale.Def.PossiblyMonad open Vale.X64.Decls open Vale.X64.State open Vale.X64.Lemmas open Vale.X64.StateLemmas open Vale.Arch.HeapLemmas friend Vale.X64.Decls friend Vale.X64.StateLemmas module IR = Vale.Transformers.InstructionReorder module PH = Vale.Transformers.PeepHole module ME = Vale.Transformers.MovbeElim unfold let transformation_result_of_possibly_codes (c:possibly codes) (if_fail:code) = match c with | Ok c -> { success = ttrue; result = Block c; } | Err reason -> { success = ffalse reason; result = if_fail; } let prints_to_same_code (c1 c2:code) : pbool = let open Vale.X64.Print_s in ((print_code c1 0 gcc) = (print_code c2 0 gcc)) /- ("Not matching codes: \n" ^ "\tCode:\n" ^ fst (print_code c1 0 gcc) ^ "\tExpected code:\n" ^ fst (print_code c2 0 gcc) ^ "\n") /// Reordering transformation (* See fsti *) let reorder orig hint = transformation_result_of_possibly_codes ( if code_modifies_ghost orig then Err "code directly modifies ghost state (via ins_Ghost instruction)" else let orig' = IR.purge_empty_codes [orig] in let+ ts = IR.find_transformation_hints orig' [hint] in let+ transformed = IR.perform_reordering_with_hints ts orig' in prints_to_same_code (Block transformed) hint;+ return transformed ) orig #push-options "--max_fuel 2 --max_ifuel 1" let lemma_code_codes (c:code) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_code c fuel s == machine_eval_codes [c] fuel s)) = () let lemma_codes_code (c:codes) (fuel:nat) (s:machine_state) : Lemma (ensures (machine_eval_codes c fuel s == machine_eval_code (Block c) fuel s)) = () #pop-options let lemma_IR_equiv_states_to_equiv_states (s1 s2:machine_state) : Lemma (requires ( (IR.equiv_states s1 s2))) (ensures ( (equiv_states (state_of_S s1) (state_of_S s2)))) = () (* See fsti *) let lemma_reorder orig hint transformed va_s0 va_sM va_fM = if code_modifies_ghost orig then (va_sM, va_fM) else let orig' = IR.purge_empty_codes [orig] in match IR.find_transformation_hints orig' [hint] with | Err _ -> va_sM, va_fM | Ok ts -> match IR.perform_reordering_with_hints ts orig' with | Err _ -> va_sM, va_fM | Ok tr -> lemma_code_codes orig va_fM (state_to_S va_s0); IR.lemma_purge_empty_codes [orig] va_fM (state_to_S va_s0); IR.lemma_perform_reordering_with_hints ts orig' va_fM (state_to_S va_s0); lemma_codes_code tr va_fM (state_to_S va_s0); let Some s = machine_eval_code orig va_fM (state_to_S va_s0) in let Some s' = machine_eval_code transformed va_fM (state_to_S va_s0) in lemma_IR_equiv_states_to_equiv_states s s'; assert (eval_code orig va_s0 va_fM va_sM); assert ({s with ms_trace = []} == (state_to_S va_sM)); let va_sM' = state_of_S s' in lemma_to_of s'; assert (state_to_S va_sM' == {s' with ms_trace = []}); assert (state_to_S va_sM == {s with ms_trace = []}); assert (IR.equiv_states ({s with ms_trace = []}) ({s' with ms_trace = []})); assert (equiv_states va_sM va_sM'); assert (va_ensure_total transformed va_s0 va_sM' va_fM); va_sM', va_fM /// Check-if-same-printed-code "transformation" (* See fsti *) let check_if_same_printed_code orig hint = { success = prints_to_same_code orig hint; result = orig; } (* See fsti *) let lemma_check_if_same_printed_code orig hint transformed va_s0 va_sM va_fM = va_sM, va_fM /// Peephole Transformation to replace movbes -> mov + bswap. let movbe_elim = PH.peephole_transform ME.movbe_elim_ph let lemma_movbe_elim = PH.lemma_peephole_transform ME.movbe_elim_ph /// Transformation to replace mov + mov -> mov. let mov_mov_elim = PH.peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph let lemma_mov_mov_elim = PH.lemma_peephole_transform Vale.Transformers.MovMovElim.mov_mov_elim_ph /// Transformation to eliminate prefetches
{ "checked_file": "/", "dependencies": [ "Vale.X64.StateLemmas.fst.checked", "Vale.X64.StateLemmas.fst.checked", "Vale.X64.State.fsti.checked", "Vale.X64.Print_s.fst.checked", "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Lemmas.fsti.checked", "Vale.X64.Decls.fst.checked", "Vale.X64.Decls.fst.checked", "Vale.Transformers.PrefetchElim.fst.checked", "Vale.Transformers.PeepHole.fsti.checked", "Vale.Transformers.MovMovElim.fst.checked", "Vale.Transformers.MovbeElim.fst.checked", "Vale.Transformers.InstructionReorder.fst.checked", "Vale.Def.PossiblyMonad.fst.checked", "Vale.Arch.HeapLemmas.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked" ], "interface_file": true, "source_file": "Vale.Transformers.Transform.fst" }
[ { "abbrev": true, "full_module": "Vale.Transformers.MovbeElim", "short_module": "ME" }, { "abbrev": true, "full_module": "Vale.Transformers.PeepHole", "short_module": "PH" }, { "abbrev": true, "full_module": "Vale.Transformers.InstructionReorder", "short_module": "IR" }, { "abbrev": false, "full_module": "Vale.Arch.HeapLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.StateLemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Lemmas", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.State", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "BS" }, { "abbrev": false, "full_module": "Vale.Transformers.Common", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Decls", "short_module": null }, { "abbrev": false, "full_module": "Vale.Def.PossiblyMonad", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "short_module": null }, { "abbrev": false, "full_module": "Vale.Transformers", "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
orig: Vale.X64.Decls.va_code -> Vale.X64.Decls.va_transformation_result
Prims.Tot
[ "total" ]
[]
[ "Vale.Transformers.PeepHole.peephole_transform", "Vale.Transformers.PrefetchElim.prefetch_elim_ph" ]
[]
false
false
false
true
false
let prefetch_elim =
PH.peephole_transform Vale.Transformers.PrefetchElim.prefetch_elim_ph
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_public_registers
val count_public_registers (regs: reg_taint) (k: nat{k <= n_reg_files}) : nat
val count_public_registers (regs: reg_taint) (k: nat{k <= n_reg_files}) : nat
let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 102, "end_line": 142, "start_col": 0, "start_line": 140 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1)
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs: Vale.X64.Leakage_s.reg_taint -> k: Prims.nat{k <= Vale.X64.Machine_s.n_reg_files} -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_reg_files", "Prims.op_Equality", "Prims.int", "Prims.bool", "Prims.op_Addition", "Vale.X64.Leakage.count_public_registers_file", "Prims.op_Subtraction", "Vale.X64.Machine_s.n_regs", "Vale.X64.Leakage.count_public_registers" ]
[ "recursion" ]
false
false
false
false
false
let rec count_public_registers (regs: reg_taint) (k: nat{k <= n_reg_files}) : nat =
if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1)
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_public_registers_file
val count_public_registers_file (regs: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : nat
val count_public_registers_file (regs: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : nat
let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1)
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 96, "end_line": 126, "start_col": 0, "start_line": 124 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs: Vale.X64.Leakage_s.reg_taint -> rf: Vale.X64.Machine_s.reg_file_id -> k: Prims.nat{k <= Vale.X64.Machine_s.n_regs rf} -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Vale.X64.Machine_s.reg_file_id", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_regs", "Prims.op_Equality", "Prims.int", "Prims.bool", "Prims.op_Addition", "Vale.X64.Leakage.count_public_register", "Vale.X64.Machine_s.Reg", "Prims.op_Subtraction", "Vale.X64.Leakage.count_public_registers_file" ]
[ "recursion" ]
false
false
false
false
false
let rec count_public_registers_file (regs: reg_taint) (rf: reg_file_id) (k: nat{k <= n_regs rf}) : nat =
if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1)
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.count_publics
val count_publics (ts: analysis_taints) : nat
val count_publics (ts: analysis_taints) : nat
let count_publics (ts:analysis_taints) : nat = count_public_registers ts.lts.regTaint n_reg_files + count_flagTaint ts + count_cfFlagTaint ts + count_ofFlagTaint ts
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 22, "end_line": 171, "start_col": 0, "start_line": 167 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1) let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1) let rec lemma_count_public_registers (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k ) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r:reg).{:pattern regs1 r \/ regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r) ) = if k > 0 then ( let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1) ) let count_flagTaint (ts:analysis_taints) : nat = if Public? ts.lts.flagsTaint then 1 else 0 let count_cfFlagTaint (ts:analysis_taints) : nat = if Public? ts.lts.cfFlagsTaint then 1 else 0 let count_ofFlagTaint (ts:analysis_taints) : nat = if Public? ts.lts.ofFlagsTaint then 1 else 0
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
ts: Vale.X64.Leakage_Helpers.analysis_taints -> Prims.nat
Prims.Tot
[ "total" ]
[]
[ "Vale.X64.Leakage_Helpers.analysis_taints", "Prims.op_Addition", "Vale.X64.Leakage.count_public_registers", "Vale.X64.Leakage_s.__proj__LeakageTaints__item__regTaint", "Vale.X64.Leakage_Helpers.__proj__AnalysisTaints__item__lts", "Vale.X64.Machine_s.n_reg_files", "Vale.X64.Leakage.count_flagTaint", "Vale.X64.Leakage.count_cfFlagTaint", "Vale.X64.Leakage.count_ofFlagTaint", "Prims.nat" ]
[]
false
false
false
true
false
let count_publics (ts: analysis_taints) : nat =
count_public_registers ts.lts.regTaint n_reg_files + count_flagTaint ts + count_cfFlagTaint ts + count_ofFlagTaint ts
false
Vale.X64.Leakage.fst
Vale.X64.Leakage.lemma_count_public_registers
val lemma_count_public_registers (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r: reg). {:pattern regs1 r\/regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r))
val lemma_count_public_registers (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r: reg). {:pattern regs1 r\/regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r))
let rec lemma_count_public_registers (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k ) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r:reg).{:pattern regs1 r \/ regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r) ) = if k > 0 then ( let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1) )
{ "file_name": "vale/code/arch/x64/Vale.X64.Leakage.fst", "git_rev": "eb1badfa34c70b0bbe0fe24fe0f49fb1295c7872", "git_url": "https://github.com/project-everest/hacl-star.git", "project_name": "hacl-star" }
{ "end_col": 3, "end_line": 159, "start_col": 0, "start_line": 144 }
module Vale.X64.Leakage open FStar.Mul open Vale.X64.Machine_s module S = Vale.X64.Machine_Semantics_s open Vale.X64.Leakage_s open Vale.X64.Leakage_Helpers open Vale.X64.Leakage_Ins unfold let machine_eval_ocmp = S.machine_eval_ocmp unfold let machine_eval_code = S.machine_eval_code unfold let machine_eval_codes = S.machine_eval_codes unfold let machine_eval_while = S.machine_eval_while #reset-options "--initial_ifuel 0 --max_ifuel 1 --initial_fuel 1 --max_fuel 1" let normalize_taints (ts:analysis_taints) : analysis_taints = let AnalysisTaints lts rts = ts in AnalysisTaints lts (regs_to_map (map_to_regs rts)) let combine_reg_taints (regs1 regs2:reg_taint) : reg_taint = FunctionalExtensionality.on reg (fun x -> merge_taint (regs1 x) (regs2 x)) let rec eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : bool = if k = 0 then true else regs1 (Reg rf (k - 1)) = regs2 (Reg rf (k - 1)) && eq_regs_file regs1 regs2 rf (k - 1) let rec eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : bool = if k = 0 then true else eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)) && eq_regs regs1 regs2 (k - 1) let rec lemma_eq_regs_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (ensures eq_regs_file regs1 regs2 rf k <==> (forall (i:nat).{:pattern (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i))) = if k > 0 then lemma_eq_regs_file regs1 regs2 rf (k - 1) let rec lemma_eq_regs (regs1 regs2:reg_taint) (k:nat{k <= n_reg_files}) : Lemma (ensures eq_regs regs1 regs2 k <==> (forall (i j:nat).{:pattern (Reg i j)} i < k /\ j < n_regs i ==> regs1 (Reg i j) == regs2 (Reg i j))) = if k > 0 then ( lemma_eq_regs_file regs1 regs2 (k - 1) (n_regs (k - 1)); lemma_eq_regs regs1 regs2 (k - 1) ) let eq_registers (regs1 regs2:reg_taint) : (b:bool{b <==> regs1 == regs2}) = lemma_eq_regs regs1 regs2 n_reg_files; let b = eq_regs regs1 regs2 n_reg_files in if b then ( assert (FStar.FunctionalExtensionality.feq regs1 regs2) ); b let eq_leakage_taints (ts1 ts2:leakage_taints) : (b:bool{b <==> ts1 == ts2}) = eq_registers ts1.regTaint ts2.regTaint && ts1.flagsTaint = ts2.flagsTaint && ts1.cfFlagsTaint = ts2.cfFlagsTaint && ts1.ofFlagsTaint = ts2.ofFlagsTaint let taintstate_monotone_regs (ts ts':reg_taint) = (forall (r:reg).{:pattern (ts' r) \/ (ts r)} Public? (ts' r) ==> Public? (ts r)) let taintstate_monotone (ts ts':analysis_taints) = let ts = ts.lts in let ts' = ts'.lts in taintstate_monotone_regs ts.regTaint ts'.regTaint /\ (Public? (ts'.flagsTaint) ==> Public? (ts.flagsTaint)) /\ (Public? (ts'.cfFlagsTaint) ==> Public? (ts.cfFlagsTaint)) /\ (Public? (ts'.ofFlagsTaint) ==> Public? (ts.ofFlagsTaint)) let taintstate_monotone_trans (ts1:analysis_taints) (ts2:analysis_taints) (ts3:analysis_taints) : Lemma (taintstate_monotone ts1 ts2 /\ taintstate_monotone ts2 ts3 ==> taintstate_monotone ts1 ts3) = () let isConstant_monotone (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isConstantTimeGivenStates code fuel ts2.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isConstantTimeGivenStates code fuel ts1.lts s1 s2) = () let isExplicit_monotone (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts.lts ts1.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts.lts ts2.lts s1 s2) = () let isExplicit_monotone2 (ts:analysis_taints) (ts1:analysis_taints) (ts2:analysis_taints) (code:S.code) (fuel:nat) (s1:S.machine_state) (s2:S.machine_state) : Lemma (isExplicitLeakageFreeGivenStates code fuel ts2.lts ts.lts s1 s2 /\ taintstate_monotone ts1 ts2 ==> isExplicitLeakageFreeGivenStates code fuel ts1.lts ts.lts s1 s2) = () let combine_leakage_taints (ts1:leakage_taints) (ts2:leakage_taints) : leakage_taints = let LeakageTaints rs1 fs1 c1 o1 = ts1 in let LeakageTaints rs2 fs2 c2 o2 = ts2 in let rs = combine_reg_taints rs1 rs2 in LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) let combine_analysis_taints (ts1:analysis_taints) (ts2:analysis_taints) : (ts:analysis_taints{taintstate_monotone ts1 ts /\ taintstate_monotone ts2 ts /\ ts.lts == combine_leakage_taints ts1.lts ts2.lts}) = let AnalysisTaints (LeakageTaints rs1_old fs1 c1 o1) rts1 = ts1 in let AnalysisTaints (LeakageTaints rs2_old fs2 c2 o2) rts2 = ts2 in let rts1 = ts1.rts in let rts2 = ts2.rts in let rs1 = map_to_regs rts1 in // \ let rs2 = map_to_regs rts2 in // - build efficient representations of reg_taint before calling combine_reg_taints assert (FStar.FunctionalExtensionality.feq rs1 rs1_old); assert (FStar.FunctionalExtensionality.feq rs2 rs2_old); let rs = combine_reg_taints rs1 rs2 in let rts = regs_to_map rs in let lts = LeakageTaints rs (merge_taint fs1 fs2) (merge_taint c1 c2) (merge_taint o1 o2) in AnalysisTaints lts rts let count_public_register (regs:reg_taint) (r:reg) = if Public? (regs r) then 1 else 0 let rec count_public_registers_file (regs:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : nat = if k = 0 then 0 else count_public_register regs (Reg rf (k - 1)) + count_public_registers_file regs rf (k - 1) let rec lemma_count_public_registers_file (regs1 regs2:reg_taint) (rf:reg_file_id) (k:nat{k <= n_regs rf}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers_file regs1 rf k >= count_public_registers_file regs2 rf k ) (ensures count_public_registers_file regs1 rf k == count_public_registers_file regs2 rf k /\ (forall (i:nat).{:pattern regs1 (Reg rf i) \/ regs2 (Reg rf i)} i < k ==> regs1 (Reg rf i) == regs2 (Reg rf i)) ) = if k > 0 then lemma_count_public_registers_file regs1 regs2 rf (k - 1) let rec count_public_registers (regs:reg_taint) (k:nat{k <= n_reg_files}) : nat = if k = 0 then 0 else count_public_registers_file regs (k - 1) (n_regs (k - 1)) + count_public_registers regs (k - 1)
{ "checked_file": "/", "dependencies": [ "Vale.X64.Machine_Semantics_s.fst.checked", "Vale.X64.Machine_s.fst.checked", "Vale.X64.Leakage_s.fst.checked", "Vale.X64.Leakage_Ins.fsti.checked", "Vale.X64.Leakage_Helpers.fst.checked", "Vale.Lib.MapTree.fsti.checked", "prims.fst.checked", "FStar.Pervasives.Native.fst.checked", "FStar.Pervasives.fsti.checked", "FStar.Mul.fst.checked", "FStar.FunctionalExtensionality.fsti.checked", "FStar.Classical.fsti.checked" ], "interface_file": true, "source_file": "Vale.X64.Leakage.fst" }
[ { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Ins", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_Helpers", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64.Leakage_s", "short_module": null }, { "abbrev": true, "full_module": "Vale.X64.Machine_Semantics_s", "short_module": "S" }, { "abbrev": false, "full_module": "Vale.X64.Machine_s", "short_module": null }, { "abbrev": false, "full_module": "FStar.Mul", "short_module": null }, { "abbrev": false, "full_module": "Vale.X64", "short_module": null }, { "abbrev": false, "full_module": "Vale.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": 1, "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
regs1: Vale.X64.Leakage_s.reg_taint -> regs2: Vale.X64.Leakage_s.reg_taint -> k: Prims.nat{k <= Vale.X64.Machine_s.n_reg_files} -> FStar.Pervasives.Lemma (requires Vale.X64.Leakage.taintstate_monotone_regs regs2 regs1 /\ Vale.X64.Leakage.count_public_registers regs1 k >= Vale.X64.Leakage.count_public_registers regs2 k) (ensures Vale.X64.Leakage.count_public_registers regs1 k == Vale.X64.Leakage.count_public_registers regs2 k /\ (forall (r: Vale.X64.Machine_s.reg). {:pattern regs1 r\/regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r))
FStar.Pervasives.Lemma
[ "lemma" ]
[]
[ "Vale.X64.Leakage_s.reg_taint", "Prims.nat", "Prims.b2t", "Prims.op_LessThanOrEqual", "Vale.X64.Machine_s.n_reg_files", "Prims.op_GreaterThan", "Vale.X64.Leakage.lemma_count_public_registers", "Prims.op_Subtraction", "Prims.unit", "Prims.op_GreaterThanOrEqual", "Vale.X64.Leakage.count_public_registers_file", "Vale.X64.Leakage.lemma_count_public_registers_file", "Prims.bool", "Vale.X64.Machine_s.n_regs", "Prims.l_and", "Vale.X64.Leakage.taintstate_monotone_regs", "Vale.X64.Leakage.count_public_registers", "Prims.squash", "Prims.eq2", "Prims.l_Forall", "Vale.X64.Machine_s.reg", "Prims.l_imp", "Prims.op_LessThan", "Vale.X64.Machine_s.__proj__Reg__item__rf", "Vale.Arch.HeapTypes_s.taint", "Prims.Nil", "FStar.Pervasives.pattern" ]
[ "recursion" ]
false
false
true
false
false
let rec lemma_count_public_registers (regs1 regs2: reg_taint) (k: nat{k <= n_reg_files}) : Lemma (requires taintstate_monotone_regs regs2 regs1 /\ count_public_registers regs1 k >= count_public_registers regs2 k) (ensures count_public_registers regs1 k == count_public_registers regs2 k /\ (forall (r: reg). {:pattern regs1 r\/regs2 r} Reg?.rf r < k ==> regs1 r == regs2 r)) =
if k > 0 then (let n = n_regs (k - 1) in if count_public_registers_file regs1 (k - 1) n >= count_public_registers_file regs2 (k - 1) n then lemma_count_public_registers_file regs1 regs2 (k - 1) n; lemma_count_public_registers regs1 regs2 (k - 1))
false