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+/*
+** 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)
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-22 16:22:54 +0000