| /* |
| ** ChaCha20 specification |
| ** Author: Austin Seipp <aseipp@pobox.com>. Released in the Public Domain. |
| ** |
| ** Based on RFC 7539 - "ChaCha20 and Poly1305 for IETF Protocols" |
| ** https://tools.ietf.org/html/rfc7539 |
| */ |
| module chacha20 where |
| |
| /* -------------------------------------------------------------------------- */ |
| /* -- Implementation -------------------------------------------------------- */ |
| |
| type Round = [16][32] // An input to the ChaCha20 core function |
| type Block = [64][8] // An output block from the ChaCha20 core function. |
| type Key = [32][8] // A 32-byte input key |
| type Nonce = [12][8] // A 12-byte nonce |
| type Counter = [32] // Starting block counter. Usually 1 or 0. |
| |
| /* ---------------------------------- */ |
| /* -- Quarter Round ----------------- */ |
| |
| // The quarter round. This takes 4 32-bit integers and diffuses them |
| // appropriately, and is the core of the column and diagonal round. |
| qround : [4][32] -> [4][32] |
| qround [ a0, b0, c0, d0 ] = [ a2, b4, c2, d4 ] |
| where |
| a1 = a0 + b0 /* a += b; d ^= a; d <<<= 16 */ |
| d1 = d0 ^ a1 |
| d2 = d1 <<< 16 |
| |
| c1 = c0 + d2 /* c += d; b ^= c; b <<<= 12 */ |
| b1 = b0 ^ c1 |
| b2 = b1 <<< 12 |
| |
| a2 = a1 + b2 /* a += b; d ^= a; d <<<= 8 */ |
| d3 = d2 ^ a2 |
| d4 = d3 <<< 8 |
| |
| c2 = c1 + d4 /* c += d; b ^= c; b <<<= 7 */ |
| b3 = b2 ^ c2 |
| b4 = b3 <<< 7 |
| |
| |
| /* ---------------------------------- */ |
| /* -- Column and diagonal rounds ---- */ |
| |
| // Perform the column round, followed by the diagonal round on the |
| // input state, which are both defined in terms of the quarter |
| // round. ChaCha20 requires 20 total rounds of interleaving |
| // column/diagonal passes on the state, and therefore `cdround` actually |
| // does two passes at once (mostly for simplicity). |
| cdround : Round -> Round |
| cdround [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 ] |
| = [ z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15 ] |
| where |
| // Column round |
| [ y0, y4, y8, y12 ] = qround [ x0, x4, x8, x12 ] |
| [ y1, y5, y9, y13 ] = qround [ x1, x5, x9, x13 ] |
| [ y2, y6, y10, y14 ] = qround [ x2, x6, x10, x14 ] |
| [ y3, y7, y11, y15 ] = qround [ x3, x7, x11, x15 ] |
| |
| // Diagonal round |
| [ z0, z5, z10, z15 ] = qround [ y0, y5, y10, y15 ] |
| [ z1, z6, z11, z12 ] = qround [ y1, y6, y11, y12 ] |
| [ z2, z7, z8, z13 ] = qround [ y2, y7, y8, y13 ] |
| [ z3, z4, z9, z14 ] = qround [ y3, y4, y9, y14 ] |
| |
| |
| /* ---------------------------------- */ |
| /* -- Block encryption -------------- */ |
| |
| // Given an input round, calculate the core ChaCha20 algorithm over |
| // the round and return an output block. These output blocks form the |
| // stream which you XOR your plaintext with, and successive iterations of |
| // the core algorithm result in an infinite stream you can use as a |
| // cipher. |
| core : Round -> Block |
| core x = block |
| where |
| rounds = iterate cdround x // Do a bunch of column/diagonal passes... |
| result = rounds @ 10 // And grab the 10th result (20 total passes) |
| block = blocked (x + result) // Add to input, convert to output block |
| |
| |
| /* ---------------------------------- */ |
| /* -- Key Expansion ----------------- */ |
| |
| // Key expansion. Given a nonce and a key, compute a round (which is |
| // fed to the core algorithm above) by taking the initial round state and |
| // mixing in the key and nonce appropriately. |
| kexp : Key -> Counter -> Nonce -> Round |
| kexp k c n = [ c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15 ] |
| where |
| // The following describes the layout of the output round, which |
| // is fed into the core algorithm successively. |
| |
| // Bytes 0-3: Constants |
| [ c0, c1, c2, c3 ] = [ 0x61707865, 0x3320646e, 0x79622d32, 0x6b206574 ] |
| |
| // Bytes 4-11: Key |
| [ c4, c5, c6, c7 ] = map rjoin (groupBy`{4} kslice1 : [4][4][8]) : [4][32] |
| [ c8, c9, c10, c11 ] = map rjoin (groupBy`{4} kslice2 : [4][4][8]) : [4][32] |
| kslice1 = k @@ ([ 0 .. 15 ] : [16][32]) // Top half |
| kslice2 = k @@ ([ 16 .. 31 ] : [16][32]) // Bottom half |
| |
| // Bytes 12: Counter, starts off with whatever the user specified |
| // (usually 0 or 1) |
| [ c12 ] = [ c ] |
| |
| // Bytes 14-15: Nonce |
| [ c13, c14, c15 ] = map rjoin (groupBy`{4} n) |
| |
| |
| /* ---------------------------------- */ |
| /* -- Round increments -------------- */ |
| |
| // Take a given number of iterations and the input round (after key |
| // expansion!), and calculate the input round for the core algorithm |
| // function. This allows you to index into a particular Round which |
| // can be passed to the 'core' function. |
| iround : [64] -> Round -> Round |
| iround n r = (iterate once r) @ n where |
| // Given a round, increment the counter inside (index no 12) |
| once [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 ] |
| = [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12+1, x13, x14, x15 ] |
| |
| /* ---------------------------------- */ |
| /* -- ChaCha20 encryption ----------- */ |
| |
| // Produce a psuedo-random stream given a nonce and a key, which can |
| // be XOR'd with your data to encrypt it. |
| stream : {n} (fin n) => Key -> Counter -> Nonce -> [n][8] |
| stream k c n = take`{n} (join rounds) // Take n bytes from the final result |
| where |
| // Expand key |
| key = kexp k c n |
| |
| // Produce the stream by successively incrementing the input round |
| // by `i`, and running the core algorithm to get the resulting |
| // stream for the `i`th input. Once these are concatenated, you have |
| // an infinite list representing the ChaCha20 stream. |
| rounds = [ core (iround i key) | i <- [ 0, 1 ... ] ] |
| |
| |
| // Given an message, a nonce, and a key, produce an encrypted |
| // message. This is simply defined as the XOR of the message and the |
| // corresponding encryption stream. |
| encrypt : {n} (fin n) => Key -> Counter -> Nonce -> [n][8] -> [n][8] |
| encrypt k c n m = m ^ (stream k c n) |
| |
| /* -------------------------------------------------------------------------- */ |
| /* -- Theorems, tests ------------------------------------------------------- */ |
| |
| // Tests are private |
| private |
| qround01 = qround in == out |
| where |
| in = [ 0x11111111, 0x01020304, 0x9b8d6f43, 0x01234567 ] |
| out = [ 0xea2a92f4, 0xcb1cf8ce, 0x4581472e, 0x5881c4bb ] |
| |
| core01 = kexp k 1 n == out |
| where |
| n = [ 0x00, 0x00, 0x00, 0x09, 0x00, 0x00, 0x00, 0x4a, |
| 0x00, 0x00, 0x00, 0x00 ] |
| k = [ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, |
| 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, |
| 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, |
| 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f ] |
| out = [ 0x61707865, 0x3320646e, 0x79622d32, 0x6b206574, |
| 0x03020100, 0x07060504, 0x0b0a0908, 0x0f0e0d0c, |
| 0x13121110, 0x17161514, 0x1b1a1918, 0x1f1e1d1c, |
| 0x00000001, 0x09000000, 0x4a000000, 0x00000000 ] |
| |
| core02 = core (kexp k 1 n) == out |
| where |
| n = [ 0x00, 0x00, 0x00, 0x09, 0x00, 0x00, 0x00, 0x4a, |
| 0x00, 0x00, 0x00, 0x00 ] |
| k = [ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, |
| 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, |
| 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, |
| 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f ] |
| out = [ 0x10, 0xf1, 0xe7, 0xe4, 0xd1, 0x3b, 0x59, 0x15, |
| 0x50, 0x0f, 0xdd, 0x1f, 0xa3, 0x20, 0x71, 0xc4, |
| 0xc7, 0xd1, 0xf4, 0xc7, 0x33, 0xc0, 0x68, 0x03, |
| 0x04, 0x22, 0xaa, 0x9a, 0xc3, 0xd4, 0x6c, 0x4e, |
| 0xd2, 0x82, 0x64, 0x46, 0x07, 0x9f, 0xaa, 0x09, |
| 0x14, 0xc2, 0xd7, 0x05, 0xd9, 0x8b, 0x02, 0xa2, |
| 0xb5, 0x12, 0x9c, 0xd1, 0xde, 0x16, 0x4e, 0xb9, |
| 0xcb, 0xd0, 0x83, 0xe8, 0xa2, 0x50, 0x3c, 0x4e ] |
| |
| rfctest01 = encrypt zero zero zero zero |
| == [ 0x76, 0xb8, 0xe0, 0xad, 0xa0, 0xf1, 0x3d, 0x90, 0x40, 0x5d, |
| 0x6a, 0xe5, 0x53, 0x86, 0xbd, 0x28, 0xbd, 0xd2, 0x19, 0xb8, |
| 0xa0, 0x8d, 0xed, 0x1a, 0xa8, 0x36, 0xef, 0xcc, 0x8b, 0x77, |
| 0x0d, 0xc7, 0xda, 0x41, 0x59, 0x7c, 0x51, 0x57, 0x48, 0x8d, |
| 0x77, 0x24, 0xe0, 0x3f, 0xb8, 0xd8, 0x4a, 0x37, 0x6a, 0x43, |
| 0xb8, 0xf4, 0x15, 0x18, 0xa1, 0x1c, 0xc3, 0x87, 0xb6, 0x69, |
| 0xb2, 0xee, 0x65, 0x86 ] |
| |
| rfctest02 = encrypt (zero # [1]) 1 (zero # [2]) msg == out |
| where |
| out = [ 0xa3, 0xfb, 0xf0, 0x7d, 0xf3, 0xfa, 0x2f, 0xde, 0x4f, 0x37, |
| 0x6c, 0xa2, 0x3e, 0x82, 0x73, 0x70, 0x41, 0x60, 0x5d, 0x9f, |
| 0x4f, 0x4f, 0x57, 0xbd, 0x8c, 0xff, 0x2c, 0x1d, 0x4b, 0x79, |
| 0x55, 0xec, 0x2a, 0x97, 0x94, 0x8b, 0xd3, 0x72, 0x29, 0x15, |
| 0xc8, 0xf3, 0xd3, 0x37, 0xf7, 0xd3, 0x70, 0x05, 0x0e, 0x9e, |
| 0x96, 0xd6, 0x47, 0xb7, 0xc3, 0x9f, 0x56, 0xe0, 0x31, 0xca, |
| 0x5e, 0xb6, 0x25, 0x0d, 0x40, 0x42, 0xe0, 0x27, 0x85, 0xec, |
| 0xec, 0xfa, 0x4b, 0x4b, 0xb5, 0xe8, 0xea, 0xd0, 0x44, 0x0e, |
| 0x20, 0xb6, 0xe8, 0xdb, 0x09, 0xd8, 0x81, 0xa7, 0xc6, 0x13, |
| 0x2f, 0x42, 0x0e, 0x52, 0x79, 0x50, 0x42, 0xbd, 0xfa, 0x77, |
| 0x73, 0xd8, 0xa9, 0x05, 0x14, 0x47, 0xb3, 0x29, 0x1c, 0xe1, |
| 0x41, 0x1c, 0x68, 0x04, 0x65, 0x55, 0x2a, 0xa6, 0xc4, 0x05, |
| 0xb7, 0x76, 0x4d, 0x5e, 0x87, 0xbe, 0xa8, 0x5a, 0xd0, 0x0f, |
| 0x84, 0x49, 0xed, 0x8f, 0x72, 0xd0, 0xd6, 0x62, 0xab, 0x05, |
| 0x26, 0x91, 0xca, 0x66, 0x42, 0x4b, 0xc8, 0x6d, 0x2d, 0xf8, |
| 0x0e, 0xa4, 0x1f, 0x43, 0xab, 0xf9, 0x37, 0xd3, 0x25, 0x9d, |
| 0xc4, 0xb2, 0xd0, 0xdf, 0xb4, 0x8a, 0x6c, 0x91, 0x39, 0xdd, |
| 0xd7, 0xf7, 0x69, 0x66, 0xe9, 0x28, 0xe6, 0x35, 0x55, 0x3b, |
| 0xa7, 0x6c, 0x5c, 0x87, 0x9d, 0x7b, 0x35, 0xd4, 0x9e, 0xb2, |
| 0xe6, 0x2b, 0x08, 0x71, 0xcd, 0xac, 0x63, 0x89, 0x39, 0xe2, |
| 0x5e, 0x8a, 0x1e, 0x0e, 0xf9, 0xd5, 0x28, 0x0f, 0xa8, 0xca, |
| 0x32, 0x8b, 0x35, 0x1c, 0x3c, 0x76, 0x59, 0x89, 0xcb, 0xcf, |
| 0x3d, 0xaa, 0x8b, 0x6c, 0xcc, 0x3a, 0xaf, 0x9f, 0x39, 0x79, |
| 0xc9, 0x2b, 0x37, 0x20, 0xfc, 0x88, 0xdc, 0x95, 0xed, 0x84, |
| 0xa1, 0xbe, 0x05, 0x9c, 0x64, 0x99, 0xb9, 0xfd, 0xa2, 0x36, |
| 0xe7, 0xe8, 0x18, 0xb0, 0x4b, 0x0b, 0xc3, 0x9c, 0x1e, 0x87, |
| 0x6b, 0x19, 0x3b, 0xfe, 0x55, 0x69, 0x75, 0x3f, 0x88, 0x12, |
| 0x8c, 0xc0, 0x8a, 0xaa, 0x9b, 0x63, 0xd1, 0xa1, 0x6f, 0x80, |
| 0xef, 0x25, 0x54, 0xd7, 0x18, 0x9c, 0x41, 0x1f, 0x58, 0x69, |
| 0xca, 0x52, 0xc5, 0xb8, 0x3f, 0xa3, 0x6f, 0xf2, 0x16, 0xb9, |
| 0xc1, 0xd3, 0x00, 0x62, 0xbe, 0xbc, 0xfd, 0x2d, 0xc5, 0xbc, |
| 0xe0, 0x91, 0x19, 0x34, 0xfd, 0xa7, 0x9a, 0x86, 0xf6, 0xe6, |
| 0x98, 0xce, 0xd7, 0x59, 0xc3, 0xff, 0x9b, 0x64, 0x77, 0x33, |
| 0x8f, 0x3d, 0xa4, 0xf9, 0xcd, 0x85, 0x14, 0xea, 0x99, 0x82, |
| 0xcc, 0xaf, 0xb3, 0x41, 0xb2, 0x38, 0x4d, 0xd9, 0x02, 0xf3, |
| 0xd1, 0xab, 0x7a, 0xc6, 0x1d, 0xd2, 0x9c, 0x6f, 0x21, 0xba, |
| 0x5b, 0x86, 0x2f, 0x37, 0x30, 0xe3, 0x7c, 0xfd, 0xc4, 0xfd, |
| 0x80, 0x6c, 0x22, 0xf2, 0x21 ] |
| |
| msg = [ 0x41, 0x6e, 0x79, 0x20, 0x73, 0x75, 0x62, 0x6d, 0x69, 0x73, |
| 0x73, 0x69, 0x6f, 0x6e, 0x20, 0x74, 0x6f, 0x20, 0x74, 0x68, |
| 0x65, 0x20, 0x49, 0x45, 0x54, 0x46, 0x20, 0x69, 0x6e, 0x74, |
| 0x65, 0x6e, 0x64, 0x65, 0x64, 0x20, 0x62, 0x79, 0x20, 0x74, |
| 0x68, 0x65, 0x20, 0x43, 0x6f, 0x6e, 0x74, 0x72, 0x69, 0x62, |
| 0x75, 0x74, 0x6f, 0x72, 0x20, 0x66, 0x6f, 0x72, 0x20, 0x70, |
| 0x75, 0x62, 0x6c, 0x69, 0x63, 0x61, 0x74, 0x69, 0x6f, 0x6e, |
| 0x20, 0x61, 0x73, 0x20, 0x61, 0x6c, 0x6c, 0x20, 0x6f, 0x72, |
| 0x20, 0x70, 0x61, 0x72, 0x74, 0x20, 0x6f, 0x66, 0x20, 0x61, |
| 0x6e, 0x20, 0x49, 0x45, 0x54, 0x46, 0x20, 0x49, 0x6e, 0x74, |
| 0x65, 0x72, 0x6e, 0x65, 0x74, 0x2d, 0x44, 0x72, 0x61, 0x66, |
| 0x74, 0x20, 0x6f, 0x72, 0x20, 0x52, 0x46, 0x43, 0x20, 0x61, |
| 0x6e, 0x64, 0x20, 0x61, 0x6e, 0x79, 0x20, 0x73, 0x74, 0x61, |
| 0x74, 0x65, 0x6d, 0x65, 0x6e, 0x74, 0x20, 0x6d, 0x61, 0x64, |
| 0x65, 0x20, 0x77, 0x69, 0x74, 0x68, 0x69, 0x6e, 0x20, 0x74, |
| 0x68, 0x65, 0x20, 0x63, 0x6f, 0x6e, 0x74, 0x65, 0x78, 0x74, |
| 0x20, 0x6f, 0x66, 0x20, 0x61, 0x6e, 0x20, 0x49, 0x45, 0x54, |
| 0x46, 0x20, 0x61, 0x63, 0x74, 0x69, 0x76, 0x69, 0x74, 0x79, |
| 0x20, 0x69, 0x73, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x69, 0x64, |
| 0x65, 0x72, 0x65, 0x64, 0x20, 0x61, 0x6e, 0x20, 0x22, 0x49, |
| 0x45, 0x54, 0x46, 0x20, 0x43, 0x6f, 0x6e, 0x74, 0x72, 0x69, |
| 0x62, 0x75, 0x74, 0x69, 0x6f, 0x6e, 0x22, 0x2e, 0x20, 0x53, |
| 0x75, 0x63, 0x68, 0x20, 0x73, 0x74, 0x61, 0x74, 0x65, 0x6d, |
| 0x65, 0x6e, 0x74, 0x73, 0x20, 0x69, 0x6e, 0x63, 0x6c, 0x75, |
| 0x64, 0x65, 0x20, 0x6f, 0x72, 0x61, 0x6c, 0x20, 0x73, 0x74, |
| 0x61, 0x74, 0x65, 0x6d, 0x65, 0x6e, 0x74, 0x73, 0x20, 0x69, |
| 0x6e, 0x20, 0x49, 0x45, 0x54, 0x46, 0x20, 0x73, 0x65, 0x73, |
| 0x73, 0x69, 0x6f, 0x6e, 0x73, 0x2c, 0x20, 0x61, 0x73, 0x20, |
| 0x77, 0x65, 0x6c, 0x6c, 0x20, 0x61, 0x73, 0x20, 0x77, 0x72, |
| 0x69, 0x74, 0x74, 0x65, 0x6e, 0x20, 0x61, 0x6e, 0x64, 0x20, |
| 0x65, 0x6c, 0x65, 0x63, 0x74, 0x72, 0x6f, 0x6e, 0x69, 0x63, |
| 0x20, 0x63, 0x6f, 0x6d, 0x6d, 0x75, 0x6e, 0x69, 0x63, 0x61, |
| 0x74, 0x69, 0x6f, 0x6e, 0x73, 0x20, 0x6d, 0x61, 0x64, 0x65, |
| 0x20, 0x61, 0x74, 0x20, 0x61, 0x6e, 0x79, 0x20, 0x74, 0x69, |
| 0x6d, 0x65, 0x20, 0x6f, 0x72, 0x20, 0x70, 0x6c, 0x61, 0x63, |
| 0x65, 0x2c, 0x20, 0x77, 0x68, 0x69, 0x63, 0x68, 0x20, 0x61, |
| 0x72, 0x65, 0x20, 0x61, 0x64, 0x64, 0x72, 0x65, 0x73, 0x73, |
| 0x65, 0x64, 0x20, 0x74, 0x6f ] |
| |
| rfctest03 = encrypt key 42 (zero # [2]) msg == out |
| where |
| key = [ 0x1c, 0x92, 0x40, 0xa5, 0xeb, 0x55, 0xd3, 0x8a, 0xf3, 0x33, |
| 0x88, 0x86, 0x04, 0xf6, 0xb5, 0xf0, 0x47, 0x39, 0x17, 0xc1, |
| 0x40, 0x2b, 0x80, 0x09, 0x9d, 0xca, 0x5c, 0xbc, 0x20, 0x70, |
| 0x75, 0xc0 ] |
| out = [ 0x27, 0x54, 0x77, 0x61, 0x73, 0x20, 0x62, 0x72, 0x69, 0x6c, |
| 0x6c, 0x69, 0x67, 0x2c, 0x20, 0x61, 0x6e, 0x64, 0x20, 0x74, |
| 0x68, 0x65, 0x20, 0x73, 0x6c, 0x69, 0x74, 0x68, 0x79, 0x20, |
| 0x74, 0x6f, 0x76, 0x65, 0x73, 0x0a, 0x44, 0x69, 0x64, 0x20, |
| 0x67, 0x79, 0x72, 0x65, 0x20, 0x61, 0x6e, 0x64, 0x20, 0x67, |
| 0x69, 0x6d, 0x62, 0x6c, 0x65, 0x20, 0x69, 0x6e, 0x20, 0x74, |
| 0x68, 0x65, 0x20, 0x77, 0x61, 0x62, 0x65, 0x3a, 0x0a, 0x41, |
| 0x6c, 0x6c, 0x20, 0x6d, 0x69, 0x6d, 0x73, 0x79, 0x20, 0x77, |
| 0x65, 0x72, 0x65, 0x20, 0x74, 0x68, 0x65, 0x20, 0x62, 0x6f, |
| 0x72, 0x6f, 0x67, 0x6f, 0x76, 0x65, 0x73, 0x2c, 0x0a, 0x41, |
| 0x6e, 0x64, 0x20, 0x74, 0x68, 0x65, 0x20, 0x6d, 0x6f, 0x6d, |
| 0x65, 0x20, 0x72, 0x61, 0x74, 0x68, 0x73, 0x20, 0x6f, 0x75, |
| 0x74, 0x67, 0x72, 0x61, 0x62, 0x65, 0x2e ] |
| |
| msg = [ 0x62, 0xe6, 0x34, 0x7f, 0x95, 0xed, 0x87, 0xa4, 0x5f, 0xfa, |
| 0xe7, 0x42, 0x6f, 0x27, 0xa1, 0xdf, 0x5f, 0xb6, 0x91, 0x10, |
| 0x04, 0x4c, 0x0d, 0x73, 0x11, 0x8e, 0xff, 0xa9, 0x5b, 0x01, |
| 0xe5, 0xcf, 0x16, 0x6d, 0x3d, 0xf2, 0xd7, 0x21, 0xca, 0xf9, |
| 0xb2, 0x1e, 0x5f, 0xb1, 0x4c, 0x61, 0x68, 0x71, 0xfd, 0x84, |
| 0xc5, 0x4f, 0x9d, 0x65, 0xb2, 0x83, 0x19, 0x6c, 0x7f, 0xe4, |
| 0xf6, 0x05, 0x53, 0xeb, 0xf3, 0x9c, 0x64, 0x02, 0xc4, 0x22, |
| 0x34, 0xe3, 0x2a, 0x35, 0x6b, 0x3e, 0x76, 0x43, 0x12, 0xa6, |
| 0x1a, 0x55, 0x32, 0x05, 0x57, 0x16, 0xea, 0xd6, 0x96, 0x25, |
| 0x68, 0xf8, 0x7d, 0x3f, 0x3f, 0x77, 0x04, 0xc6, 0xa8, 0xd1, |
| 0xbc, 0xd1, 0xbf, 0x4d, 0x50, 0xd6, 0x15, 0x4b, 0x6d, 0xa7, |
| 0x31, 0xb1, 0x87, 0xb5, 0x8d, 0xfd, 0x72, 0x8a, 0xfa, 0x36, |
| 0x75, 0x7a, 0x79, 0x7a, 0xc1, 0x88, 0xd1 ] |
| |
| property allTestsPass = |
| ([ // Basic tests |
| qround01, core01, core02 |
| // Full RFC test vectors |
| , rfctest01, rfctest02, rfctest03 |
| ] : [_]Bit) == ~zero // All test bits should equal one |
| |
| /* -------------------------------------------------------------------------- */ |
| /* -- Private utilities ----------------------------------------------------- */ |
| |
| private |
| // Convert a round into a block, by splitting every 32-bit round entry |
| // into 4 bytes, and then serialize those values into a full block. |
| blocked : Round -> Block |
| blocked x = join (map toBytes x) |
| where |
| // This essentially splits a 32-bit number into 4-byte |
| // little-endian form, where 'rjoin' is the inverse and would merge |
| // 4 bytes as a 32-bit little endian number. |
| toBytes : [32] -> [4][8] |
| toBytes v = reverse (groupBy`{8} v) |
| |
| // Map a function over a finite list. |
| map : { a, b, c } |
| (a -> b) -> [c]a -> [c]b |
| map f xs = [ f x | x <- xs ] |
| |
| // Map a function iteratively over a seed value, producing an infinite |
| // list of successive function applications: |
| // |
| // iterate f 0 == [ 0, f 0, f (f 0), f (f (f 0)), ... ] |
| iterate : { a } (a -> a) -> a -> [inf]a |
| iterate f x = [x] # [ f v | v <- iterate f x ] |
| where |
| // NB: Needs a binded name in order to tie the recursive knot. |
| xs = [x] # [ f v | v <- xs ] |
| |
| // rjoin = join . reverse |
| // This encodes a sequence of values as a little endian number |
| // e.g. [ 0xaa, 0xbb, 0xcc, 0xdd ] is serialized as \xdd\xcc\xbb\xaa |
| rjoin : {a, b, c} |
| ( fin a, fin c |
| ) => [c][a]b -> [a * c]b |
| rjoin x = join (reverse x) |
