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re-introduce old nss im too tired for this
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2871 changed files with 1374431 additions and 1762417 deletions
8
security/nss/automation/saw/bmul.cry
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8
security/nss/automation/saw/bmul.cry
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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bmul : {n,m} (fin n, n >= 1, m == n*2 - 1) => [n] -> [n] -> ([n], [n])
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bmul a b = (take`{n} prod, drop`{n} prod)
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where prod = pad (pmult a b : [m])
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pad x = zero # x
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26
security/nss/automation/saw/bmul.saw
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security/nss/automation/saw/bmul.saw
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// This Source Code Form is subject to the terms of the Mozilla Public
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// License, v. 2.0. If a copy of the MPL was not distributed with this
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// file, You can obtain one at http://mozilla.org/MPL/2.0/.
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import "bmul.cry";
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print "Loading LLVM bitcode...";
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m <- llvm_load_module "../../../dist/Debug/lib/libfreeblpriv3.so.bc";
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let SpecBinaryMul n = do {
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x <- llvm_var "x" (llvm_int n);
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y <- llvm_var "y" (llvm_int n);
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llvm_ptr "r_high" (llvm_int n);
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r_high <- llvm_var "*r_high" (llvm_int n);
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llvm_ptr "r_low" (llvm_int n);
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r_low <- llvm_var "*r_low" (llvm_int n);
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let res = {{ bmul x y }};
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llvm_ensure_eq "*r_high" {{ res.0 }};
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llvm_ensure_eq "*r_low" {{ res.1 }};
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llvm_verify_tactic abc;
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};
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print "Proving equality for 32-bit bmul()...";
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time (llvm_verify m "bmul32" [] (SpecBinaryMul 32));
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357
security/nss/automation/saw/chacha20.cry
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357
security/nss/automation/saw/chacha20.cry
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/*
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** ChaCha20 specification
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** Author: Austin Seipp <aseipp@pobox.com>. Released in the Public Domain.
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**
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** Based on RFC 7539 - "ChaCha20 and Poly1305 for IETF Protocols"
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** https://tools.ietf.org/html/rfc7539
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*/
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module chacha20 where
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/* -------------------------------------------------------------------------- */
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/* -- Implementation -------------------------------------------------------- */
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type Round = [16][32] // An input to the ChaCha20 core function
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type Block = [64][8] // An output block from the ChaCha20 core function.
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type Key = [32][8] // A 32-byte input key
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type Nonce = [12][8] // A 12-byte nonce
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type Counter = [32] // Starting block counter. Usually 1 or 0.
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/* ---------------------------------- */
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/* -- Quarter Round ----------------- */
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// The quarter round. This takes 4 32-bit integers and diffuses them
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// appropriately, and is the core of the column and diagonal round.
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qround : [4][32] -> [4][32]
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qround [ a0, b0, c0, d0 ] = [ a2, b4, c2, d4 ]
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where
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a1 = a0 + b0 /* a += b; d ^= a; d <<<= 16 */
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d1 = d0 ^ a1
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d2 = d1 <<< 16
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c1 = c0 + d2 /* c += d; b ^= c; b <<<= 12 */
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b1 = b0 ^ c1
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b2 = b1 <<< 12
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a2 = a1 + b2 /* a += b; d ^= a; d <<<= 8 */
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d3 = d2 ^ a2
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d4 = d3 <<< 8
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c2 = c1 + d4 /* c += d; b ^= c; b <<<= 7 */
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b3 = b2 ^ c2
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b4 = b3 <<< 7
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/* ---------------------------------- */
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/* -- Column and diagonal rounds ---- */
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// Perform the column round, followed by the diagonal round on the
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// input state, which are both defined in terms of the quarter
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// round. ChaCha20 requires 20 total rounds of interleaving
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// column/diagonal passes on the state, and therefore `cdround` actually
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// does two passes at once (mostly for simplicity).
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cdround : Round -> Round
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cdround [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 ]
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= [ z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15 ]
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where
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// Column round
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[ y0, y4, y8, y12 ] = qround [ x0, x4, x8, x12 ]
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[ y1, y5, y9, y13 ] = qround [ x1, x5, x9, x13 ]
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[ y2, y6, y10, y14 ] = qround [ x2, x6, x10, x14 ]
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[ y3, y7, y11, y15 ] = qround [ x3, x7, x11, x15 ]
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// Diagonal round
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[ z0, z5, z10, z15 ] = qround [ y0, y5, y10, y15 ]
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[ z1, z6, z11, z12 ] = qround [ y1, y6, y11, y12 ]
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[ z2, z7, z8, z13 ] = qround [ y2, y7, y8, y13 ]
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[ z3, z4, z9, z14 ] = qround [ y3, y4, y9, y14 ]
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/* ---------------------------------- */
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/* -- Block encryption -------------- */
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// Given an input round, calculate the core ChaCha20 algorithm over
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// the round and return an output block. These output blocks form the
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// stream which you XOR your plaintext with, and successive iterations of
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// the core algorithm result in an infinite stream you can use as a
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// cipher.
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core : Round -> Block
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core x = block
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where
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rounds = iterate cdround x // Do a bunch of column/diagonal passes...
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result = rounds @ 10 // And grab the 10th result (20 total passes)
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block = blocked (x + result) // Add to input, convert to output block
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/* ---------------------------------- */
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/* -- Key Expansion ----------------- */
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// Key expansion. Given a nonce and a key, compute a round (which is
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// fed to the core algorithm above) by taking the initial round state and
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// mixing in the key and nonce appropriately.
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kexp : Key -> Counter -> Nonce -> Round
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kexp k c n = [ c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15 ]
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where
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// The following describes the layout of the output round, which
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// is fed into the core algorithm successively.
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// Bytes 0-3: Constants
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[ c0, c1, c2, c3 ] = [ 0x61707865, 0x3320646e, 0x79622d32, 0x6b206574 ]
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// Bytes 4-11: Key
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[ c4, c5, c6, c7 ] = map rjoin (groupBy`{4} kslice1 : [4][4][8]) : [4][32]
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[ c8, c9, c10, c11 ] = map rjoin (groupBy`{4} kslice2 : [4][4][8]) : [4][32]
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kslice1 = k @@ ([ 0 .. 15 ] : [16][32]) // Top half
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kslice2 = k @@ ([ 16 .. 31 ] : [16][32]) // Bottom half
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// Bytes 12: Counter, starts off with whatever the user specified
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// (usually 0 or 1)
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[ c12 ] = [ c ]
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// Bytes 14-15: Nonce
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[ c13, c14, c15 ] = map rjoin (groupBy`{4} n)
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/* ---------------------------------- */
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/* -- Round increments -------------- */
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// Take a given number of iterations and the input round (after key
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// expansion!), and calculate the input round for the core algorithm
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// function. This allows you to index into a particular Round which
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// can be passed to the 'core' function.
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iround : [64] -> Round -> Round
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iround n r = (iterate once r) @ n where
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// Given a round, increment the counter inside (index no 12)
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once [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 ]
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= [ x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12+1, x13, x14, x15 ]
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/* ---------------------------------- */
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/* -- ChaCha20 encryption ----------- */
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// Produce a psuedo-random stream given a nonce and a key, which can
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// be XOR'd with your data to encrypt it.
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stream : {n} (fin n) => Key -> Counter -> Nonce -> [n][8]
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stream k c n = take`{n} (join rounds) // Take n bytes from the final result
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where
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// Expand key
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key = kexp k c n
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// Produce the stream by successively incrementing the input round
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// by `i`, and running the core algorithm to get the resulting
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// stream for the `i`th input. Once these are concatenated, you have
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// an infinite list representing the ChaCha20 stream.
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rounds = [ core (iround i key) | i <- [ 0, 1 ... ] ]
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// Given an message, a nonce, and a key, produce an encrypted
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// message. This is simply defined as the XOR of the message and the
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// corresponding encryption stream.
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encrypt : {n} (fin n) => Key -> Counter -> Nonce -> [n][8] -> [n][8]
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encrypt k c n m = m ^ (stream k c n)
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/* -------------------------------------------------------------------------- */
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/* -- Theorems, tests ------------------------------------------------------- */
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// Tests are private
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private
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qround01 = qround in == out
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where
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in = [ 0x11111111, 0x01020304, 0x9b8d6f43, 0x01234567 ]
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out = [ 0xea2a92f4, 0xcb1cf8ce, 0x4581472e, 0x5881c4bb ]
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core01 = kexp k 1 n == out
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where
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n = [ 0x00, 0x00, 0x00, 0x09, 0x00, 0x00, 0x00, 0x4a,
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0x00, 0x00, 0x00, 0x00 ]
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k = [ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
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0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
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0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
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0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f ]
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out = [ 0x61707865, 0x3320646e, 0x79622d32, 0x6b206574,
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0x03020100, 0x07060504, 0x0b0a0908, 0x0f0e0d0c,
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0x13121110, 0x17161514, 0x1b1a1918, 0x1f1e1d1c,
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0x00000001, 0x09000000, 0x4a000000, 0x00000000 ]
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core02 = core (kexp k 1 n) == out
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where
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n = [ 0x00, 0x00, 0x00, 0x09, 0x00, 0x00, 0x00, 0x4a,
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0x00, 0x00, 0x00, 0x00 ]
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k = [ 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07,
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0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f,
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0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17,
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0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f ]
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out = [ 0x10, 0xf1, 0xe7, 0xe4, 0xd1, 0x3b, 0x59, 0x15,
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0x50, 0x0f, 0xdd, 0x1f, 0xa3, 0x20, 0x71, 0xc4,
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0xc7, 0xd1, 0xf4, 0xc7, 0x33, 0xc0, 0x68, 0x03,
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0x04, 0x22, 0xaa, 0x9a, 0xc3, 0xd4, 0x6c, 0x4e,
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0xd2, 0x82, 0x64, 0x46, 0x07, 0x9f, 0xaa, 0x09,
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0x14, 0xc2, 0xd7, 0x05, 0xd9, 0x8b, 0x02, 0xa2,
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0xb5, 0x12, 0x9c, 0xd1, 0xde, 0x16, 0x4e, 0xb9,
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0xcb, 0xd0, 0x83, 0xe8, 0xa2, 0x50, 0x3c, 0x4e ]
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rfctest01 = encrypt zero zero zero zero
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== [ 0x76, 0xb8, 0xe0, 0xad, 0xa0, 0xf1, 0x3d, 0x90, 0x40, 0x5d,
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0x6a, 0xe5, 0x53, 0x86, 0xbd, 0x28, 0xbd, 0xd2, 0x19, 0xb8,
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0xa0, 0x8d, 0xed, 0x1a, 0xa8, 0x36, 0xef, 0xcc, 0x8b, 0x77,
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0x0d, 0xc7, 0xda, 0x41, 0x59, 0x7c, 0x51, 0x57, 0x48, 0x8d,
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0x77, 0x24, 0xe0, 0x3f, 0xb8, 0xd8, 0x4a, 0x37, 0x6a, 0x43,
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0xb8, 0xf4, 0x15, 0x18, 0xa1, 0x1c, 0xc3, 0x87, 0xb6, 0x69,
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0xb2, 0xee, 0x65, 0x86 ]
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rfctest02 = encrypt (zero # [1]) 1 (zero # [2]) msg == out
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where
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out = [ 0xa3, 0xfb, 0xf0, 0x7d, 0xf3, 0xfa, 0x2f, 0xde, 0x4f, 0x37,
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0x6c, 0xa2, 0x3e, 0x82, 0x73, 0x70, 0x41, 0x60, 0x5d, 0x9f,
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0x4f, 0x4f, 0x57, 0xbd, 0x8c, 0xff, 0x2c, 0x1d, 0x4b, 0x79,
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0x55, 0xec, 0x2a, 0x97, 0x94, 0x8b, 0xd3, 0x72, 0x29, 0x15,
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0xc8, 0xf3, 0xd3, 0x37, 0xf7, 0xd3, 0x70, 0x05, 0x0e, 0x9e,
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0x96, 0xd6, 0x47, 0xb7, 0xc3, 0x9f, 0x56, 0xe0, 0x31, 0xca,
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0x5e, 0xb6, 0x25, 0x0d, 0x40, 0x42, 0xe0, 0x27, 0x85, 0xec,
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0xec, 0xfa, 0x4b, 0x4b, 0xb5, 0xe8, 0xea, 0xd0, 0x44, 0x0e,
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0x20, 0xb6, 0xe8, 0xdb, 0x09, 0xd8, 0x81, 0xa7, 0xc6, 0x13,
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0x2f, 0x42, 0x0e, 0x52, 0x79, 0x50, 0x42, 0xbd, 0xfa, 0x77,
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0x73, 0xd8, 0xa9, 0x05, 0x14, 0x47, 0xb3, 0x29, 0x1c, 0xe1,
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0x41, 0x1c, 0x68, 0x04, 0x65, 0x55, 0x2a, 0xa6, 0xc4, 0x05,
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0xb7, 0x76, 0x4d, 0x5e, 0x87, 0xbe, 0xa8, 0x5a, 0xd0, 0x0f,
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0x84, 0x49, 0xed, 0x8f, 0x72, 0xd0, 0xd6, 0x62, 0xab, 0x05,
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0x26, 0x91, 0xca, 0x66, 0x42, 0x4b, 0xc8, 0x6d, 0x2d, 0xf8,
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0x0e, 0xa4, 0x1f, 0x43, 0xab, 0xf9, 0x37, 0xd3, 0x25, 0x9d,
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0xc4, 0xb2, 0xd0, 0xdf, 0xb4, 0x8a, 0x6c, 0x91, 0x39, 0xdd,
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0xd7, 0xf7, 0x69, 0x66, 0xe9, 0x28, 0xe6, 0x35, 0x55, 0x3b,
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0xa7, 0x6c, 0x5c, 0x87, 0x9d, 0x7b, 0x35, 0xd4, 0x9e, 0xb2,
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0xe6, 0x2b, 0x08, 0x71, 0xcd, 0xac, 0x63, 0x89, 0x39, 0xe2,
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0x5e, 0x8a, 0x1e, 0x0e, 0xf9, 0xd5, 0x28, 0x0f, 0xa8, 0xca,
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0x32, 0x8b, 0x35, 0x1c, 0x3c, 0x76, 0x59, 0x89, 0xcb, 0xcf,
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0x3d, 0xaa, 0x8b, 0x6c, 0xcc, 0x3a, 0xaf, 0x9f, 0x39, 0x79,
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0xc9, 0x2b, 0x37, 0x20, 0xfc, 0x88, 0xdc, 0x95, 0xed, 0x84,
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0xa1, 0xbe, 0x05, 0x9c, 0x64, 0x99, 0xb9, 0xfd, 0xa2, 0x36,
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0xe7, 0xe8, 0x18, 0xb0, 0x4b, 0x0b, 0xc3, 0x9c, 0x1e, 0x87,
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0x6b, 0x19, 0x3b, 0xfe, 0x55, 0x69, 0x75, 0x3f, 0x88, 0x12,
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0x8c, 0xc0, 0x8a, 0xaa, 0x9b, 0x63, 0xd1, 0xa1, 0x6f, 0x80,
|
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0xef, 0x25, 0x54, 0xd7, 0x18, 0x9c, 0x41, 0x1f, 0x58, 0x69,
|
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0xca, 0x52, 0xc5, 0xb8, 0x3f, 0xa3, 0x6f, 0xf2, 0x16, 0xb9,
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0xc1, 0xd3, 0x00, 0x62, 0xbe, 0xbc, 0xfd, 0x2d, 0xc5, 0xbc,
|
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0xe0, 0x91, 0x19, 0x34, 0xfd, 0xa7, 0x9a, 0x86, 0xf6, 0xe6,
|
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0x98, 0xce, 0xd7, 0x59, 0xc3, 0xff, 0x9b, 0x64, 0x77, 0x33,
|
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0x8f, 0x3d, 0xa4, 0xf9, 0xcd, 0x85, 0x14, 0xea, 0x99, 0x82,
|
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0xcc, 0xaf, 0xb3, 0x41, 0xb2, 0x38, 0x4d, 0xd9, 0x02, 0xf3,
|
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0xd1, 0xab, 0x7a, 0xc6, 0x1d, 0xd2, 0x9c, 0x6f, 0x21, 0xba,
|
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0x5b, 0x86, 0x2f, 0x37, 0x30, 0xe3, 0x7c, 0xfd, 0xc4, 0xfd,
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0x80, 0x6c, 0x22, 0xf2, 0x21 ]
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|
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msg = [ 0x41, 0x6e, 0x79, 0x20, 0x73, 0x75, 0x62, 0x6d, 0x69, 0x73,
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0x73, 0x69, 0x6f, 0x6e, 0x20, 0x74, 0x6f, 0x20, 0x74, 0x68,
|
||||
0x65, 0x20, 0x49, 0x45, 0x54, 0x46, 0x20, 0x69, 0x6e, 0x74,
|
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0x65, 0x6e, 0x64, 0x65, 0x64, 0x20, 0x62, 0x79, 0x20, 0x74,
|
||||
0x68, 0x65, 0x20, 0x43, 0x6f, 0x6e, 0x74, 0x72, 0x69, 0x62,
|
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0x75, 0x74, 0x6f, 0x72, 0x20, 0x66, 0x6f, 0x72, 0x20, 0x70,
|
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0x75, 0x62, 0x6c, 0x69, 0x63, 0x61, 0x74, 0x69, 0x6f, 0x6e,
|
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0x20, 0x61, 0x73, 0x20, 0x61, 0x6c, 0x6c, 0x20, 0x6f, 0x72,
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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)
|
||||
40
security/nss/automation/saw/chacha20.saw
Normal file
40
security/nss/automation/saw/chacha20.saw
Normal file
|
|
@ -0,0 +1,40 @@
|
|||
// This Source Code Form is subject to the terms of the Mozilla Public
|
||||
// License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
import "chacha20.cry" as chacha20;
|
||||
|
||||
print "Proving ChaCha20 spec...";
|
||||
prove_print abc {{ chacha20::allTestsPass }};
|
||||
|
||||
print "Loading LLVM bitcode...";
|
||||
m <- llvm_load_module "../../../dist/Debug/lib/libfreeblpriv3.so.bc";
|
||||
|
||||
let SpecChaCha20 n = do {
|
||||
llvm_ptr "output" (llvm_array n (llvm_int 8));
|
||||
output <- llvm_var "*output" (llvm_array n (llvm_int 8));
|
||||
|
||||
llvm_ptr "plain" (llvm_array n (llvm_int 8));
|
||||
plain <- llvm_var "*plain" (llvm_array n (llvm_int 8));
|
||||
|
||||
len <- llvm_var "len" (llvm_int 32);
|
||||
llvm_assert_eq "len" {{ `n : [32] }};
|
||||
|
||||
llvm_ptr "k" (llvm_array 32 (llvm_int 8));
|
||||
k <- llvm_var "*k" (llvm_array 32 (llvm_int 8));
|
||||
|
||||
llvm_ptr "n1" (llvm_array 12 (llvm_int 8));
|
||||
n1 <- llvm_var "*n1" (llvm_array 12 (llvm_int 8));
|
||||
|
||||
ctr <- llvm_var "ctr" (llvm_int 32);
|
||||
|
||||
llvm_ensure_eq "*output" {{ chacha20::encrypt k ctr n1 plain }};
|
||||
|
||||
llvm_verify_tactic abc;
|
||||
};
|
||||
|
||||
print "Proving equality for a single block...";
|
||||
time (llvm_verify m "Hacl_Chacha20_chacha20" [] (SpecChaCha20 64));
|
||||
|
||||
print "Proving equality for multiple blocks...";
|
||||
time (llvm_verify m "Hacl_Chacha20_chacha20" [] (SpecChaCha20 256));
|
||||
38
security/nss/automation/saw/poly1305-hacl.saw
Normal file
38
security/nss/automation/saw/poly1305-hacl.saw
Normal file
|
|
@ -0,0 +1,38 @@
|
|||
// This Source Code Form is subject to the terms of the Mozilla Public
|
||||
// License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
import "poly1305.cry" as poly1305;
|
||||
|
||||
print "Proving Poly1305 spec...";
|
||||
prove_print abc {{ poly1305::allTestsPass }};
|
||||
|
||||
print "Loading LLVM bitcode...";
|
||||
m <- llvm_load_module "../../../dist/Debug/lib/libfreeblpriv3.so.bc";
|
||||
|
||||
let SpecPoly1305 n = do {
|
||||
llvm_ptr "output" (llvm_array 16 (llvm_int 8));
|
||||
output <- llvm_var "*output" (llvm_array 16 (llvm_int 8));
|
||||
|
||||
llvm_ptr "input" (llvm_array n (llvm_int 8));
|
||||
input <- llvm_var "*input" (llvm_array n (llvm_int 8));
|
||||
|
||||
llvm_var "len1" (llvm_int 64);
|
||||
llvm_ptr "k1" (llvm_array 32 (llvm_int 8));
|
||||
k1 <- llvm_var "*k1" (llvm_array 32 (llvm_int 8));
|
||||
|
||||
llvm_assert_eq "*input" {{ zero : [n][8] }};
|
||||
llvm_assert_eq "len1" {{ `n : [64] }};
|
||||
|
||||
llvm_assert_eq "*k1" {{ zero : [32][8] }};
|
||||
|
||||
let res = {{ poly1305::Poly1305 input (take`{16} k1) (drop`{16} k1) }};
|
||||
llvm_ensure_eq "*output" {{ res }};
|
||||
|
||||
llvm_verify_tactic abc;
|
||||
};
|
||||
|
||||
print "Proving equality for a single block...";
|
||||
// This is currently disabled as it takes way too long. We need to help Z3
|
||||
// prove this before we can enable it on Taskcluster.
|
||||
//time (llvm_verify m "Hacl_Poly1305_64_crypto_onetimeauth" [] (SpecPoly1305 16));
|
||||
336
security/nss/automation/saw/poly1305.cry
Normal file
336
security/nss/automation/saw/poly1305.cry
Normal file
|
|
@ -0,0 +1,336 @@
|
|||
/* This Source Code Form is subject to the terms of the Mozilla Public
|
||||
* License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
|
||||
|
||||
/* This file provides a spec of the Poly1305 one-time authenticator.
|
||||
* See <https://tools.ietf.org/html/rfc7539> for details. */
|
||||
|
||||
module poly1305 where
|
||||
|
||||
P : [136]
|
||||
P = 2^^130 - 5
|
||||
|
||||
Poly1305 : {n} (fin n) => [n][8] -> [16][8] -> [16][8] -> [16][8]
|
||||
Poly1305 msg r s = reverse (groupBy (drop ((rounds ! 0) + s')))
|
||||
where
|
||||
rounds = [zero] # [ Poly1305_block acc r' b | b <- blocks | acc <- rounds ]
|
||||
r' = zero # (Poly1305_clamp (join (reverse r)))
|
||||
s' = zero # (join (reverse s))
|
||||
blocks = Poly1305_split msg
|
||||
|
||||
private
|
||||
// 0x0f - for r[3], r[7], r[11], r[15]
|
||||
// 0xfc - for r[4], r[8], r[12]
|
||||
Poly1305_clamp r = r && 0x0ffffffc0ffffffc0ffffffc0fffffff
|
||||
|
||||
// Poly1305_block : ((acc + msg) * r) % P
|
||||
Poly1305_block : [136] -> [136] -> [136] -> [136]
|
||||
Poly1305_block acc r msg = drop (prod % (zero # P))
|
||||
where
|
||||
acc' : [137]
|
||||
// Add the current block to the accumulator.
|
||||
acc' = (zero # acc) + (zero # msg)
|
||||
prod : [273]
|
||||
// Multiply the new accumulator value by r.
|
||||
prod = ((zero : [137]) # r) * ((zero : [136]) # acc')
|
||||
|
||||
Poly1305_split : {n, nb, nf} (fin n, nf == n / 16, nb == (n + 15) / 16) => [n][8] -> [nb][136]
|
||||
Poly1305_split msg = take ((h1 : [nf][136]) # h2)
|
||||
where
|
||||
// Split all full 16-byte blocks and append 0x01, then convert to LE.
|
||||
h1 = [ join (reverse (b # [0x01])) | b <- groupBy`{16} (take msg)]
|
||||
// Pad the remaining bytes (if any) and convert to LE.
|
||||
h2 = [join (reverse ((drop`{nf * 16} msg) # [0x01] # zero))]
|
||||
|
||||
/* -------------------------------------------------------------------------- */
|
||||
/* -- Tests ----------------------------------------------------------------- */
|
||||
|
||||
private
|
||||
// https://tools.ietf.org/html/rfc7539#section-2.5.2
|
||||
rval1 = [0x85, 0xd6, 0xbe, 0x78, 0x57, 0x55, 0x6d, 0x33,
|
||||
0x7f, 0x44, 0x52, 0xfe, 0x42, 0xd5, 0x06, 0xa8]
|
||||
sval1 = [0x01, 0x03, 0x80, 0x8a, 0xfb, 0x0d, 0xb2, 0xfd,
|
||||
0x4a, 0xbf, 0xf6, 0xaf, 0x41, 0x49, 0xf5, 0x1b]
|
||||
text1 = [0x43, 0x72, 0x79, 0x70, 0x74, 0x6f, 0x67, 0x72,
|
||||
0x61, 0x70, 0x68, 0x69, 0x63, 0x20, 0x46, 0x6f,
|
||||
0x72, 0x75, 0x6d, 0x20, 0x52, 0x65, 0x73, 0x65,
|
||||
0x61, 0x72, 0x63, 0x68, 0x20, 0x47, 0x72, 0x6f,
|
||||
0x75, 0x70]
|
||||
|
||||
rfctest01 = Poly1305 text1 rval1 sval1
|
||||
== [0xa8, 0x06, 0x1d, 0xc1, 0x30, 0x51, 0x36, 0xc6,
|
||||
0xc2, 0x2b, 0x8b, 0xaf, 0x0c, 0x01, 0x27, 0xa9]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #1
|
||||
rval2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text2 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
rfctest02 = Poly1305 text2 rval2 sval2
|
||||
== [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #2
|
||||
rval3 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval3 = [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
|
||||
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
|
||||
text3 = [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 = Poly1305 text3 rval3 sval3
|
||||
== [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
|
||||
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #3
|
||||
rval4 = [0x36, 0xe5, 0xf6, 0xb5, 0xc5, 0xe0, 0x60, 0x70,
|
||||
0xf0, 0xef, 0xca, 0x96, 0x22, 0x7a, 0x86, 0x3e]
|
||||
sval4 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text4 = [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]
|
||||
|
||||
rfctest04 = Poly1305 text4 rval4 sval4
|
||||
== [0xf3, 0x47, 0x7e, 0x7c, 0xd9, 0x54, 0x17, 0xaf,
|
||||
0x89, 0xa6, 0xb8, 0x79, 0x4c, 0x31, 0x0c, 0xf0]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #4
|
||||
rval5 = [0x1c, 0x92, 0x40, 0xa5, 0xeb, 0x55, 0xd3, 0x8a,
|
||||
0xf3, 0x33, 0x88, 0x86, 0x04, 0xf6, 0xb5, 0xf0]
|
||||
sval5 = [0x47, 0x39, 0x17, 0xc1, 0x40, 0x2b, 0x80, 0x09,
|
||||
0x9d, 0xca, 0x5c, 0xbc, 0x20, 0x70, 0x75, 0xc0]
|
||||
text5 = [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]
|
||||
|
||||
rfctest05 = Poly1305 text5 rval5 sval5
|
||||
== [0x45, 0x41, 0x66, 0x9a, 0x7e, 0xaa, 0xee, 0x61,
|
||||
0xe7, 0x08, 0xdc, 0x7c, 0xbc, 0xc5, 0xeb, 0x62]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #5
|
||||
rval6 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval6 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text6 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
|
||||
|
||||
rfctest06 = Poly1305 text6 rval6 sval6
|
||||
== [0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #6
|
||||
rval7 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval7 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
|
||||
text7 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
rfctest07 = Poly1305 text7 rval7 sval7
|
||||
== [0x03, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #7
|
||||
rval8 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval8 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text8 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xf0, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0x11, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
rfctest08 = Poly1305 text8 rval8 sval8
|
||||
== [0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #8
|
||||
rval9 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval9 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text9 = [0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xfb, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
|
||||
0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe, 0xfe,
|
||||
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01,
|
||||
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01]
|
||||
|
||||
rfctest09 = Poly1305 text9 rval9 sval9
|
||||
== [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #9
|
||||
rval10 = [0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval10 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text10 = [0xfd, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
|
||||
|
||||
rfctest10 = Poly1305 text10 rval10 sval10
|
||||
== [0xfa, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
|
||||
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #10
|
||||
rval11 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval11 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text11 = [0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
|
||||
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
rfctest11 = Poly1305 text11 rval11 sval11
|
||||
== [0x14, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x55, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
// https://tools.ietf.org/html/rfc7539#appendix-A.3
|
||||
// Test Vector #11
|
||||
rval12 = [0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
sval12 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
text12 = [0xe3, 0x35, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0xb9,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x33, 0x94, 0xd7, 0x50, 0x5e, 0x43, 0x79, 0xcd,
|
||||
0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
rfctest12 = Poly1305 text12 rval12 sval12
|
||||
== [0x13, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
|
||||
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00]
|
||||
|
||||
property allTestsPass =
|
||||
([ // Full RFC test vectors
|
||||
rfctest01, rfctest02, rfctest03, rfctest04,
|
||||
rfctest05, rfctest06, rfctest07, rfctest08,
|
||||
rfctest09, rfctest10, rfctest11, rfctest12
|
||||
] : [_]Bit) == ~zero // All test bits should equal one
|
||||
47
security/nss/automation/saw/poly1305.saw
Normal file
47
security/nss/automation/saw/poly1305.saw
Normal file
|
|
@ -0,0 +1,47 @@
|
|||
// This Source Code Form is subject to the terms of the Mozilla Public
|
||||
// License, v. 2.0. If a copy of the MPL was not distributed with this
|
||||
// file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
||||
|
||||
import "poly1305.cry" as poly1305;
|
||||
|
||||
print "Proving Poly1305 spec...";
|
||||
prove_print abc {{ poly1305::allTestsPass }};
|
||||
|
||||
print "Loading LLVM bitcode...";
|
||||
m <- llvm_load_module "../../../dist/Debug/lib/libfreeblpriv3.so.bc";
|
||||
|
||||
let SpecPoly1305 n = do {
|
||||
llvm_ptr "out" (llvm_array 16 (llvm_int 8));
|
||||
out <- llvm_var "*out" (llvm_array 16 (llvm_int 8));
|
||||
|
||||
llvm_ptr "ad" (llvm_array 16 (llvm_int 8));
|
||||
ad <- llvm_var "*ad" (llvm_array 16 (llvm_int 8));
|
||||
|
||||
adLen <- llvm_var "adLen" (llvm_int 32);
|
||||
|
||||
llvm_ptr "ciphertext" (llvm_array n (llvm_int 8));
|
||||
ciphertext <- llvm_var "*ciphertext" (llvm_array n (llvm_int 8));
|
||||
|
||||
ciphertextLen <- llvm_var "ciphertextLen" (llvm_int 32);
|
||||
|
||||
llvm_ptr "key" (llvm_array 32 (llvm_int 8));
|
||||
key <- llvm_var "*key" (llvm_array 32 (llvm_int 8));
|
||||
|
||||
llvm_assert_eq "*ad" {{ zero : [16][8] }};
|
||||
llvm_assert_eq "adLen" {{ 16 : [32] }};
|
||||
|
||||
llvm_assert_eq "*ciphertext" {{ zero : [n][8] }};
|
||||
llvm_assert_eq "ciphertextLen" {{ `n : [32] }};
|
||||
|
||||
llvm_assert_eq "*key" {{ zero : [32][8] }};
|
||||
|
||||
let res = {{ poly1305::Poly1305 (ad # ciphertext # [16, 0, 0, 0, 0, 0, 0, 0] # [`n, 0, 0, 0, 0, 0, 0, 0]) (take`{16} key) (drop`{16} key) }};
|
||||
llvm_ensure_eq "*out" {{ res }};
|
||||
|
||||
llvm_verify_tactic abc;
|
||||
};
|
||||
|
||||
print "Proving equality for a single block...";
|
||||
// This is currently disabled as it takes way too long. We need to help Z3
|
||||
// prove this before we can enable it on Taskcluster.
|
||||
//time (llvm_verify m "Poly1305Do" [] (SpecPoly1305 16));
|
||||
Loading…
Add table
Add a link
Reference in a new issue