diff options
Diffstat (limited to 'src/crypto')
-rw-r--r-- | src/crypto/blake2s.c | 840 | ||||
-rw-r--r-- | src/crypto/blake2s.h | 36 | ||||
-rw-r--r-- | src/crypto/chacha20-avx2-x86_64.S | 443 | ||||
-rw-r--r-- | src/crypto/chacha20-ssse3-x86_64.S | 627 | ||||
-rw-r--r-- | src/crypto/chacha20poly1305.c | 798 | ||||
-rw-r--r-- | src/crypto/chacha20poly1305.h | 35 | ||||
-rw-r--r-- | src/crypto/curve25519.c | 1304 | ||||
-rw-r--r-- | src/crypto/curve25519.h | 20 | ||||
-rw-r--r-- | src/crypto/poly1305-avx2-x86_64.S | 386 | ||||
-rw-r--r-- | src/crypto/poly1305-sse2-x86_64.S | 582 | ||||
-rw-r--r-- | src/crypto/siphash24.c | 155 | ||||
-rw-r--r-- | src/crypto/siphash24.h | 16 |
12 files changed, 5242 insertions, 0 deletions
diff --git a/src/crypto/blake2s.c b/src/crypto/blake2s.c new file mode 100644 index 0000000..0a7170e --- /dev/null +++ b/src/crypto/blake2s.c @@ -0,0 +1,840 @@ +/* Original author: Samuel Neves <sneves@dei.uc.pt> + * + * Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. + */ + +#include "../wireguard.h" +#include "blake2s.h" +#include <linux/types.h> +#include <linux/string.h> +#include <linux/kernel.h> + +typedef struct { + uint8_t digest_length; + uint8_t key_length; + uint8_t fanout; + uint8_t depth; + uint32_t leaf_length; + uint8_t node_offset[6]; + uint8_t node_depth; + uint8_t inner_length; + uint8_t salt[8]; + uint8_t personal[8]; +} __packed blake2s_param; + +static const uint32_t blake2s_iv[8] = { + 0x6A09E667UL, 0xBB67AE85UL, 0x3C6EF372UL, 0xA54FF53AUL, + 0x510E527FUL, 0x9B05688CUL, 0x1F83D9ABUL, 0x5BE0CD19UL +}; + +static const uint8_t blake2s_sigma[10][16] = { + {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}, + {14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3}, + {11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4}, + {7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8}, + {9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13}, + {2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9}, + {12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11}, + {13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10}, + {6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5}, + {10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0}, +}; + +static inline uint32_t rotr32(const uint32_t w, const uint8_t c) +{ + return (w >> c) | (w << (32 - c)); +} + +static inline u32 le32_to_cpuvp(const void *p) +{ + return le32_to_cpup(p); +} + +static inline void blake2s_set_lastblock(struct blake2s_state *state) +{ + if (state->last_node) + state->f[1] = -1; + state->f[0] = -1; +} + +static inline void blake2s_increment_counter(struct blake2s_state *state, const uint32_t inc) +{ + state->t[0] += inc; + state->t[1] += (state->t[0] < inc); +} + +/* init2 xors IV with input parameter block */ +__attribute__((optimize("unroll-loops"))) +static inline void blake2s_init_param(struct blake2s_state *state, const blake2s_param *param) +{ + const uint32_t *p; + int i; + memset(state, 0, sizeof(struct blake2s_state)); + for (i = 0; i < 8; ++i) + state->h[i] = blake2s_iv[i]; + p = (const uint32_t *)param; + /* IV XOR ParamBlock */ + for (i = 0; i < 8; ++i) + state->h[i] ^= le32_to_cpuvp(&p[i]); +} + +void blake2s_init(struct blake2s_state *state, const uint8_t outlen) +{ + blake2s_param param = { + .digest_length = outlen, + .fanout = 1, + .depth = 1 + }; + +#ifdef DEBUG + BUG_ON(!outlen || outlen > BLAKE2S_OUTBYTES); +#endif + blake2s_init_param(state, ¶m); +} + +void blake2s_init_key(struct blake2s_state *state, const uint8_t outlen, const void *key, const uint8_t keylen) +{ + blake2s_param param = { + .digest_length = outlen, + .key_length = keylen, + .fanout = 1, + .depth = 1 + }; + uint8_t block[BLAKE2S_BLOCKBYTES] = { 0 }; + +#ifdef DEBUG + BUG_ON(!outlen || outlen > BLAKE2S_OUTBYTES || !key || !keylen || keylen > BLAKE2S_KEYBYTES); +#endif + blake2s_init_param(state, ¶m); + memcpy(block, key, keylen); + blake2s_update(state, block, BLAKE2S_BLOCKBYTES); + memzero_explicit(block, BLAKE2S_BLOCKBYTES); +} + +__attribute__((optimize("unroll-loops"))) +static inline void blake2s_compress(struct blake2s_state *state, const uint8_t block[BLAKE2S_BLOCKBYTES]) +{ + uint32_t m[16]; + uint32_t v[16]; + int i; + + for (i = 0; i < 16; ++i) + m[i] = le32_to_cpuvp(block + i * sizeof(m[i])); + + for (i = 0; i < 8; ++i) + v[i] = state->h[i]; + + v[8] = blake2s_iv[0]; + v[9] = blake2s_iv[1]; + v[10] = blake2s_iv[2]; + v[11] = blake2s_iv[3]; + v[12] = state->t[0] ^ blake2s_iv[4]; + v[13] = state->t[1] ^ blake2s_iv[5]; + v[14] = state->f[0] ^ blake2s_iv[6]; + v[15] = state->f[1] ^ blake2s_iv[7]; +#define G(r,i,a,b,c,d) \ + do { \ + a = a + b + m[blake2s_sigma[r][2 * i + 0]]; \ + d = rotr32(d ^ a, 16); \ + c = c + d; \ + b = rotr32(b ^ c, 12); \ + a = a + b + m[blake2s_sigma[r][2 * i + 1]]; \ + d = rotr32(d ^ a, 8); \ + c = c + d; \ + b = rotr32(b ^ c, 7); \ + } while(0) +#define ROUND(r) \ + do { \ + G(r,0,v[ 0],v[ 4],v[ 8],v[12]); \ + G(r,1,v[ 1],v[ 5],v[ 9],v[13]); \ + G(r,2,v[ 2],v[ 6],v[10],v[14]); \ + G(r,3,v[ 3],v[ 7],v[11],v[15]); \ + G(r,4,v[ 0],v[ 5],v[10],v[15]); \ + G(r,5,v[ 1],v[ 6],v[11],v[12]); \ + G(r,6,v[ 2],v[ 7],v[ 8],v[13]); \ + G(r,7,v[ 3],v[ 4],v[ 9],v[14]); \ +} while(0) + ROUND(0); + ROUND(1); + ROUND(2); + ROUND(3); + ROUND(4); + ROUND(5); + ROUND(6); + ROUND(7); + ROUND(8); + ROUND(9); + + for (i = 0; i < 8; ++i) + state->h[i] = state->h[i] ^ v[i] ^ v[i + 8]; +#undef G +#undef ROUND +} + +void blake2s_update(struct blake2s_state *state, const uint8_t *in, uint64_t inlen) +{ + size_t left, fill; + while (inlen > 0) { + left = state->buflen; + fill = 2 * BLAKE2S_BLOCKBYTES - left; + + if (inlen > fill) { + memcpy(state->buf + left, in, fill); // Fill buffer + state->buflen += fill; + blake2s_increment_counter(state, BLAKE2S_BLOCKBYTES); + blake2s_compress(state, state->buf); // Compress + memcpy(state->buf, state->buf + BLAKE2S_BLOCKBYTES, BLAKE2S_BLOCKBYTES);// Shift buffer left + state->buflen -= BLAKE2S_BLOCKBYTES; + in += fill; + inlen -= fill; + } else { // inlen <= fill + memcpy(state->buf + left, in, inlen); + state->buflen += inlen; // Be lazy, do not compress + in += inlen; + inlen -= inlen; + } + } +} + +__attribute__((optimize("unroll-loops"))) +void blake2s_final(struct blake2s_state *state, uint8_t *out, uint8_t outlen) +{ + uint8_t buffer[BLAKE2S_OUTBYTES] = { 0 }; + int i; + +#ifdef DEBUG + BUG_ON(!out || !outlen || outlen > BLAKE2S_OUTBYTES); +#endif + + if (state->buflen > BLAKE2S_BLOCKBYTES) { + blake2s_increment_counter(state, BLAKE2S_BLOCKBYTES); + blake2s_compress(state, state->buf); + state->buflen -= BLAKE2S_BLOCKBYTES; + memcpy(state->buf, state->buf + BLAKE2S_BLOCKBYTES, state->buflen); + } + + blake2s_increment_counter(state, (uint32_t) state->buflen); + blake2s_set_lastblock(state); + memset(state->buf + state->buflen, 0, 2 * BLAKE2S_BLOCKBYTES - state->buflen); /* Padding */ + blake2s_compress(state, state->buf); + + for (i = 0; i < 8; ++i) /* output full hash to temp buffer */ + *(__le32 *)(buffer + sizeof(state->h[i]) * i) = cpu_to_le32(state->h[i]); + + memcpy(out, buffer, outlen); + + /* Burn state from stack */ + memzero_explicit(buffer, BLAKE2S_OUTBYTES); + memzero_explicit(state, sizeof(struct blake2s_state)); +} + +void blake2s(uint8_t *out, const uint8_t *in, const uint8_t *key, const uint8_t outlen, uint64_t inlen, const uint8_t keylen) +{ + struct blake2s_state state; + +#ifdef DEBUG + BUG_ON((!in && inlen > 0) || !out || !outlen || outlen > BLAKE2S_OUTBYTES || keylen > BLAKE2S_KEYBYTES); +#endif + + if (keylen > 0 && key) + blake2s_init_key(&state, outlen, key, keylen); + else + blake2s_init(&state, outlen); + + blake2s_update(&state, in, inlen); + blake2s_final(&state, out, outlen); +} + +__attribute__((optimize("unroll-loops"))) +void blake2s_hmac(uint8_t *out, const uint8_t *in, const uint8_t *key, const uint8_t outlen, const uint64_t inlen, const uint64_t keylen) +{ + struct blake2s_state state; + uint8_t o_key[BLAKE2S_BLOCKBYTES] = { 0 }; + uint8_t i_key[BLAKE2S_BLOCKBYTES] = { 0 }; + uint8_t i_hash[BLAKE2S_OUTBYTES]; + int i; + + if (keylen > BLAKE2S_BLOCKBYTES) { + blake2s_init(&state, BLAKE2S_OUTBYTES); + blake2s_update(&state, key, keylen); + blake2s_final(&state, o_key, BLAKE2S_OUTBYTES); + memcpy(i_key, o_key, BLAKE2S_OUTBYTES); + } else { + memcpy(o_key, key, keylen); + memcpy(i_key, key, keylen); + } + + for (i = 0; i < BLAKE2S_BLOCKBYTES; ++i) { + o_key[i] ^= 0x5c; + i_key[i] ^= 0x36; + } + + blake2s_init(&state, BLAKE2S_OUTBYTES); + blake2s_update(&state, i_key, BLAKE2S_BLOCKBYTES); + blake2s_update(&state, in, inlen); + blake2s_final(&state, i_hash, BLAKE2S_OUTBYTES); + + blake2s_init(&state, BLAKE2S_OUTBYTES); + blake2s_update(&state, o_key, BLAKE2S_BLOCKBYTES); + blake2s_update(&state, i_hash, BLAKE2S_OUTBYTES); + blake2s_final(&state, i_hash, BLAKE2S_OUTBYTES); + + memcpy(out, i_hash, outlen); + memzero_explicit(o_key, BLAKE2S_BLOCKBYTES); + memzero_explicit(i_key, BLAKE2S_BLOCKBYTES); + memzero_explicit(i_hash, BLAKE2S_OUTBYTES); +} + +#ifdef DEBUG +static const uint8_t blake2s_testvecs[][BLAKE2S_OUTBYTES] = { + { 0x69, 0x21, 0x7A, 0x30, 0x79, 0x90, 0x80, 0x94, 0xE1, 0x11, 0x21, 0xD0, 0x42, 0x35, 0x4A, 0x7C, 0x1F, 0x55, 0xB6, 0x48, 0x2C, 0xA1, 0xA5, 0x1E, 0x1B, 0x25, 0x0D, 0xFD, 0x1E, 0xD0, 0xEE, 0xF9 }, + { 0xE3, 0x4D, 0x74, 0xDB, 0xAF, 0x4F, 0xF4, 0xC6, 0xAB, 0xD8, 0x71, 0xCC, 0x22, 0x04, 0x51, 0xD2, 0xEA, 0x26, 0x48, 0x84, 0x6C, 0x77, 0x57, 0xFB, 0xAA, 0xC8, 0x2F, 0xE5, 0x1A, 0xD6, 0x4B, 0xEA }, + { 0xDD, 0xAD, 0x9A, 0xB1, 0x5D, 0xAC, 0x45, 0x49, 0xBA, 0x42, 0xF4, 0x9D, 0x26, 0x24, 0x96, 0xBE, 0xF6, 0xC0, 0xBA, 0xE1, 0xDD, 0x34, 0x2A, 0x88, 0x08, 0xF8, 0xEA, 0x26, 0x7C, 0x6E, 0x21, 0x0C }, + { 0xE8, 0xF9, 0x1C, 0x6E, 0xF2, 0x32, 0xA0, 0x41, 0x45, 0x2A, 0xB0, 0xE1, 0x49, 0x07, 0x0C, 0xDD, 0x7D, 0xD1, 0x76, 0x9E, 0x75, 0xB3, 0xA5, 0x92, 0x1B, 0xE3, 0x78, 0x76, 0xC4, 0x5C, 0x99, 0x00 }, + { 0x0C, 0xC7, 0x0E, 0x00, 0x34, 0x8B, 0x86, 0xBA, 0x29, 0x44, 0xD0, 0xC3, 0x20, 0x38, 0xB2, 0x5C, 0x55, 0x58, 0x4F, 0x90, 0xDF, 0x23, 0x04, 0xF5, 0x5F, 0xA3, 0x32, 0xAF, 0x5F, 0xB0, 0x1E, 0x20 }, + { 0xEC, 0x19, 0x64, 0x19, 0x10, 0x87, 0xA4, 0xFE, 0x9D, 0xF1, 0xC7, 0x95, 0x34, 0x2A, 0x02, 0xFF, 0xC1, 0x91, 0xA5, 0xB2, 0x51, 0x76, 0x48, 0x56, 0xAE, 0x5B, 0x8B, 0x57, 0x69, 0xF0, 0xC6, 0xCD }, + { 0xE1, 0xFA, 0x51, 0x61, 0x8D, 0x7D, 0xF4, 0xEB, 0x70, 0xCF, 0x0D, 0x5A, 0x9E, 0x90, 0x6F, 0x80, 0x6E, 0x9D, 0x19, 0xF7, 0xF4, 0xF0, 0x1E, 0x3B, 0x62, 0x12, 0x88, 0xE4, 0x12, 0x04, 0x05, 0xD6 }, + { 0x59, 0x80, 0x01, 0xFA, 0xFB, 0xE8, 0xF9, 0x4E, 0xC6, 0x6D, 0xC8, 0x27, 0xD0, 0x12, 0xCF, 0xCB, 0xBA, 0x22, 0x28, 0x56, 0x9F, 0x44, 0x8E, 0x89, 0xEA, 0x22, 0x08, 0xC8, 0xBF, 0x76, 0x92, 0x93 }, + { 0xC7, 0xE8, 0x87, 0xB5, 0x46, 0x62, 0x36, 0x35, 0xE9, 0x3E, 0x04, 0x95, 0x59, 0x8F, 0x17, 0x26, 0x82, 0x19, 0x96, 0xC2, 0x37, 0x77, 0x05, 0xB9, 0x3A, 0x1F, 0x63, 0x6F, 0x87, 0x2B, 0xFA, 0x2D }, + { 0xC3, 0x15, 0xA4, 0x37, 0xDD, 0x28, 0x06, 0x2A, 0x77, 0x0D, 0x48, 0x19, 0x67, 0x13, 0x6B, 0x1B, 0x5E, 0xB8, 0x8B, 0x21, 0xEE, 0x53, 0xD0, 0x32, 0x9C, 0x58, 0x97, 0x12, 0x6E, 0x9D, 0xB0, 0x2C }, + { 0xBB, 0x47, 0x3D, 0xED, 0xDC, 0x05, 0x5F, 0xEA, 0x62, 0x28, 0xF2, 0x07, 0xDA, 0x57, 0x53, 0x47, 0xBB, 0x00, 0x40, 0x4C, 0xD3, 0x49, 0xD3, 0x8C, 0x18, 0x02, 0x63, 0x07, 0xA2, 0x24, 0xCB, 0xFF }, + { 0x68, 0x7E, 0x18, 0x73, 0xA8, 0x27, 0x75, 0x91, 0xBB, 0x33, 0xD9, 0xAD, 0xF9, 0xA1, 0x39, 0x12, 0xEF, 0xEF, 0xE5, 0x57, 0xCA, 0xFC, 0x39, 0xA7, 0x95, 0x26, 0x23, 0xE4, 0x72, 0x55, 0xF1, 0x6D }, + { 0x1A, 0xC7, 0xBA, 0x75, 0x4D, 0x6E, 0x2F, 0x94, 0xE0, 0xE8, 0x6C, 0x46, 0xBF, 0xB2, 0x62, 0xAB, 0xBB, 0x74, 0xF4, 0x50, 0xEF, 0x45, 0x6D, 0x6B, 0x4D, 0x97, 0xAA, 0x80, 0xCE, 0x6D, 0xA7, 0x67 }, + { 0x01, 0x2C, 0x97, 0x80, 0x96, 0x14, 0x81, 0x6B, 0x5D, 0x94, 0x94, 0x47, 0x7D, 0x4B, 0x68, 0x7D, 0x15, 0xB9, 0x6E, 0xB6, 0x9C, 0x0E, 0x80, 0x74, 0xA8, 0x51, 0x6F, 0x31, 0x22, 0x4B, 0x5C, 0x98 }, + { 0x91, 0xFF, 0xD2, 0x6C, 0xFA, 0x4D, 0xA5, 0x13, 0x4C, 0x7E, 0xA2, 0x62, 0xF7, 0x88, 0x9C, 0x32, 0x9F, 0x61, 0xF6, 0xA6, 0x57, 0x22, 0x5C, 0xC2, 0x12, 0xF4, 0x00, 0x56, 0xD9, 0x86, 0xB3, 0xF4 }, + { 0xD9, 0x7C, 0x82, 0x8D, 0x81, 0x82, 0xA7, 0x21, 0x80, 0xA0, 0x6A, 0x78, 0x26, 0x83, 0x30, 0x67, 0x3F, 0x7C, 0x4E, 0x06, 0x35, 0x94, 0x7C, 0x04, 0xC0, 0x23, 0x23, 0xFD, 0x45, 0xC0, 0xA5, 0x2D }, + { 0xEF, 0xC0, 0x4C, 0xDC, 0x39, 0x1C, 0x7E, 0x91, 0x19, 0xBD, 0x38, 0x66, 0x8A, 0x53, 0x4E, 0x65, 0xFE, 0x31, 0x03, 0x6D, 0x6A, 0x62, 0x11, 0x2E, 0x44, 0xEB, 0xEB, 0x11, 0xF9, 0xC5, 0x70, 0x80 }, + { 0x99, 0x2C, 0xF5, 0xC0, 0x53, 0x44, 0x2A, 0x5F, 0xBC, 0x4F, 0xAF, 0x58, 0x3E, 0x04, 0xE5, 0x0B, 0xB7, 0x0D, 0x2F, 0x39, 0xFB, 0xB6, 0xA5, 0x03, 0xF8, 0x9E, 0x56, 0xA6, 0x3E, 0x18, 0x57, 0x8A }, + { 0x38, 0x64, 0x0E, 0x9F, 0x21, 0x98, 0x3E, 0x67, 0xB5, 0x39, 0xCA, 0xCC, 0xAE, 0x5E, 0xCF, 0x61, 0x5A, 0xE2, 0x76, 0x4F, 0x75, 0xA0, 0x9C, 0x9C, 0x59, 0xB7, 0x64, 0x83, 0xC1, 0xFB, 0xC7, 0x35 }, + { 0x21, 0x3D, 0xD3, 0x4C, 0x7E, 0xFE, 0x4F, 0xB2, 0x7A, 0x6B, 0x35, 0xF6, 0xB4, 0x00, 0x0D, 0x1F, 0xE0, 0x32, 0x81, 0xAF, 0x3C, 0x72, 0x3E, 0x5C, 0x9F, 0x94, 0x74, 0x7A, 0x5F, 0x31, 0xCD, 0x3B }, + { 0xEC, 0x24, 0x6E, 0xEE, 0xB9, 0xCE, 0xD3, 0xF7, 0xAD, 0x33, 0xED, 0x28, 0x66, 0x0D, 0xD9, 0xBB, 0x07, 0x32, 0x51, 0x3D, 0xB4, 0xE2, 0xFA, 0x27, 0x8B, 0x60, 0xCD, 0xE3, 0x68, 0x2A, 0x4C, 0xCD }, + { 0xAC, 0x9B, 0x61, 0xD4, 0x46, 0x64, 0x8C, 0x30, 0x05, 0xD7, 0x89, 0x2B, 0xF3, 0xA8, 0x71, 0x9F, 0x4C, 0x81, 0x81, 0xCF, 0xDC, 0xBC, 0x2B, 0x79, 0xFE, 0xF1, 0x0A, 0x27, 0x9B, 0x91, 0x10, 0x95 }, + { 0x7B, 0xF8, 0xB2, 0x29, 0x59, 0xE3, 0x4E, 0x3A, 0x43, 0xF7, 0x07, 0x92, 0x23, 0xE8, 0x3A, 0x97, 0x54, 0x61, 0x7D, 0x39, 0x1E, 0x21, 0x3D, 0xFD, 0x80, 0x8E, 0x41, 0xB9, 0xBE, 0xAD, 0x4C, 0xE7 }, + { 0x68, 0xD4, 0xB5, 0xD4, 0xFA, 0x0E, 0x30, 0x2B, 0x64, 0xCC, 0xC5, 0xAF, 0x79, 0x29, 0x13, 0xAC, 0x4C, 0x88, 0xEC, 0x95, 0xC0, 0x7D, 0xDF, 0x40, 0x69, 0x42, 0x56, 0xEB, 0x88, 0xCE, 0x9F, 0x3D }, + { 0xB2, 0xC2, 0x42, 0x0F, 0x05, 0xF9, 0xAB, 0xE3, 0x63, 0x15, 0x91, 0x93, 0x36, 0xB3, 0x7E, 0x4E, 0x0F, 0xA3, 0x3F, 0xF7, 0xE7, 0x6A, 0x49, 0x27, 0x67, 0x00, 0x6F, 0xDB, 0x5D, 0x93, 0x54, 0x62 }, + { 0x13, 0x4F, 0x61, 0xBB, 0xD0, 0xBB, 0xB6, 0x9A, 0xED, 0x53, 0x43, 0x90, 0x45, 0x51, 0xA3, 0xE6, 0xC1, 0xAA, 0x7D, 0xCD, 0xD7, 0x7E, 0x90, 0x3E, 0x70, 0x23, 0xEB, 0x7C, 0x60, 0x32, 0x0A, 0xA7 }, + { 0x46, 0x93, 0xF9, 0xBF, 0xF7, 0xD4, 0xF3, 0x98, 0x6A, 0x7D, 0x17, 0x6E, 0x6E, 0x06, 0xF7, 0x2A, 0xD1, 0x49, 0x0D, 0x80, 0x5C, 0x99, 0xE2, 0x53, 0x47, 0xB8, 0xDE, 0x77, 0xB4, 0xDB, 0x6D, 0x9B }, + { 0x85, 0x3E, 0x26, 0xF7, 0x41, 0x95, 0x3B, 0x0F, 0xD5, 0xBD, 0xB4, 0x24, 0xE8, 0xAB, 0x9E, 0x8B, 0x37, 0x50, 0xEA, 0xA8, 0xEF, 0x61, 0xE4, 0x79, 0x02, 0xC9, 0x1E, 0x55, 0x4E, 0x9C, 0x73, 0xB9 }, + { 0xF7, 0xDE, 0x53, 0x63, 0x61, 0xAB, 0xAA, 0x0E, 0x15, 0x81, 0x56, 0xCF, 0x0E, 0xA4, 0xF6, 0x3A, 0x99, 0xB5, 0xE4, 0x05, 0x4F, 0x8F, 0xA4, 0xC9, 0xD4, 0x5F, 0x62, 0x85, 0xCA, 0xD5, 0x56, 0x94 }, + { 0x4C, 0x23, 0x06, 0x08, 0x86, 0x0A, 0x99, 0xAE, 0x8D, 0x7B, 0xD5, 0xC2, 0xCC, 0x17, 0xFA, 0x52, 0x09, 0x6B, 0x9A, 0x61, 0xBE, 0xDB, 0x17, 0xCB, 0x76, 0x17, 0x86, 0x4A, 0xD2, 0x9C, 0xA7, 0xA6 }, + { 0xAE, 0xB9, 0x20, 0xEA, 0x87, 0x95, 0x2D, 0xAD, 0xB1, 0xFB, 0x75, 0x92, 0x91, 0xE3, 0x38, 0x81, 0x39, 0xA8, 0x72, 0x86, 0x50, 0x01, 0x88, 0x6E, 0xD8, 0x47, 0x52, 0xE9, 0x3C, 0x25, 0x0C, 0x2A }, + { 0xAB, 0xA4, 0xAD, 0x9B, 0x48, 0x0B, 0x9D, 0xF3, 0xD0, 0x8C, 0xA5, 0xE8, 0x7B, 0x0C, 0x24, 0x40, 0xD4, 0xE4, 0xEA, 0x21, 0x22, 0x4C, 0x2E, 0xB4, 0x2C, 0xBA, 0xE4, 0x69, 0xD0, 0x89, 0xB9, 0x31 }, + { 0x05, 0x82, 0x56, 0x07, 0xD7, 0xFD, 0xF2, 0xD8, 0x2E, 0xF4, 0xC3, 0xC8, 0xC2, 0xAE, 0xA9, 0x61, 0xAD, 0x98, 0xD6, 0x0E, 0xDF, 0xF7, 0xD0, 0x18, 0x98, 0x3E, 0x21, 0x20, 0x4C, 0x0D, 0x93, 0xD1 }, + { 0xA7, 0x42, 0xF8, 0xB6, 0xAF, 0x82, 0xD8, 0xA6, 0xCA, 0x23, 0x57, 0xC5, 0xF1, 0xCF, 0x91, 0xDE, 0xFB, 0xD0, 0x66, 0x26, 0x7D, 0x75, 0xC0, 0x48, 0xB3, 0x52, 0x36, 0x65, 0x85, 0x02, 0x59, 0x62 }, + { 0x2B, 0xCA, 0xC8, 0x95, 0x99, 0x00, 0x0B, 0x42, 0xC9, 0x5A, 0xE2, 0x38, 0x35, 0xA7, 0x13, 0x70, 0x4E, 0xD7, 0x97, 0x89, 0xC8, 0x4F, 0xEF, 0x14, 0x9A, 0x87, 0x4F, 0xF7, 0x33, 0xF0, 0x17, 0xA2 }, + { 0xAC, 0x1E, 0xD0, 0x7D, 0x04, 0x8F, 0x10, 0x5A, 0x9E, 0x5B, 0x7A, 0xB8, 0x5B, 0x09, 0xA4, 0x92, 0xD5, 0xBA, 0xFF, 0x14, 0xB8, 0xBF, 0xB0, 0xE9, 0xFD, 0x78, 0x94, 0x86, 0xEE, 0xA2, 0xB9, 0x74 }, + { 0xE4, 0x8D, 0x0E, 0xCF, 0xAF, 0x49, 0x7D, 0x5B, 0x27, 0xC2, 0x5D, 0x99, 0xE1, 0x56, 0xCB, 0x05, 0x79, 0xD4, 0x40, 0xD6, 0xE3, 0x1F, 0xB6, 0x24, 0x73, 0x69, 0x6D, 0xBF, 0x95, 0xE0, 0x10, 0xE4 }, + { 0x12, 0xA9, 0x1F, 0xAD, 0xF8, 0xB2, 0x16, 0x44, 0xFD, 0x0F, 0x93, 0x4F, 0x3C, 0x4A, 0x8F, 0x62, 0xBA, 0x86, 0x2F, 0xFD, 0x20, 0xE8, 0xE9, 0x61, 0x15, 0x4C, 0x15, 0xC1, 0x38, 0x84, 0xED, 0x3D }, + { 0x7C, 0xBE, 0xE9, 0x6E, 0x13, 0x98, 0x97, 0xDC, 0x98, 0xFB, 0xEF, 0x3B, 0xE8, 0x1A, 0xD4, 0xD9, 0x64, 0xD2, 0x35, 0xCB, 0x12, 0x14, 0x1F, 0xB6, 0x67, 0x27, 0xE6, 0xE5, 0xDF, 0x73, 0xA8, 0x78 }, + { 0xEB, 0xF6, 0x6A, 0xBB, 0x59, 0x7A, 0xE5, 0x72, 0xA7, 0x29, 0x7C, 0xB0, 0x87, 0x1E, 0x35, 0x5A, 0xCC, 0xAF, 0xAD, 0x83, 0x77, 0xB8, 0xE7, 0x8B, 0xF1, 0x64, 0xCE, 0x2A, 0x18, 0xDE, 0x4B, 0xAF }, + { 0x71, 0xB9, 0x33, 0xB0, 0x7E, 0x4F, 0xF7, 0x81, 0x8C, 0xE0, 0x59, 0xD0, 0x08, 0x82, 0x9E, 0x45, 0x3C, 0x6F, 0xF0, 0x2E, 0xC0, 0xA7, 0xDB, 0x39, 0x3F, 0xC2, 0xD8, 0x70, 0xF3, 0x7A, 0x72, 0x86 }, + { 0x7C, 0xF7, 0xC5, 0x13, 0x31, 0x22, 0x0B, 0x8D, 0x3E, 0xBA, 0xED, 0x9C, 0x29, 0x39, 0x8A, 0x16, 0xD9, 0x81, 0x56, 0xE2, 0x61, 0x3C, 0xB0, 0x88, 0xF2, 0xB0, 0xE0, 0x8A, 0x1B, 0xE4, 0xCF, 0x4F }, + { 0x3E, 0x41, 0xA1, 0x08, 0xE0, 0xF6, 0x4A, 0xD2, 0x76, 0xB9, 0x79, 0xE1, 0xCE, 0x06, 0x82, 0x79, 0xE1, 0x6F, 0x7B, 0xC7, 0xE4, 0xAA, 0x1D, 0x21, 0x1E, 0x17, 0xB8, 0x11, 0x61, 0xDF, 0x16, 0x02 }, + { 0x88, 0x65, 0x02, 0xA8, 0x2A, 0xB4, 0x7B, 0xA8, 0xD8, 0x67, 0x10, 0xAA, 0x9D, 0xE3, 0xD4, 0x6E, 0xA6, 0x5C, 0x47, 0xAF, 0x6E, 0xE8, 0xDE, 0x45, 0x0C, 0xCE, 0xB8, 0xB1, 0x1B, 0x04, 0x5F, 0x50 }, + { 0xC0, 0x21, 0xBC, 0x5F, 0x09, 0x54, 0xFE, 0xE9, 0x4F, 0x46, 0xEA, 0x09, 0x48, 0x7E, 0x10, 0xA8, 0x48, 0x40, 0xD0, 0x2F, 0x64, 0x81, 0x0B, 0xC0, 0x8D, 0x9E, 0x55, 0x1F, 0x7D, 0x41, 0x68, 0x14 }, + { 0x20, 0x30, 0x51, 0x6E, 0x8A, 0x5F, 0xE1, 0x9A, 0xE7, 0x9C, 0x33, 0x6F, 0xCE, 0x26, 0x38, 0x2A, 0x74, 0x9D, 0x3F, 0xD0, 0xEC, 0x91, 0xE5, 0x37, 0xD4, 0xBD, 0x23, 0x58, 0xC1, 0x2D, 0xFB, 0x22 }, + { 0x55, 0x66, 0x98, 0xDA, 0xC8, 0x31, 0x7F, 0xD3, 0x6D, 0xFB, 0xDF, 0x25, 0xA7, 0x9C, 0xB1, 0x12, 0xD5, 0x42, 0x58, 0x60, 0x60, 0x5C, 0xBA, 0xF5, 0x07, 0xF2, 0x3B, 0xF7, 0xE9, 0xF4, 0x2A, 0xFE }, + { 0x2F, 0x86, 0x7B, 0xA6, 0x77, 0x73, 0xFD, 0xC3, 0xE9, 0x2F, 0xCE, 0xD9, 0x9A, 0x64, 0x09, 0xAD, 0x39, 0xD0, 0xB8, 0x80, 0xFD, 0xE8, 0xF1, 0x09, 0xA8, 0x17, 0x30, 0xC4, 0x45, 0x1D, 0x01, 0x78 }, + { 0x17, 0x2E, 0xC2, 0x18, 0xF1, 0x19, 0xDF, 0xAE, 0x98, 0x89, 0x6D, 0xFF, 0x29, 0xDD, 0x98, 0x76, 0xC9, 0x4A, 0xF8, 0x74, 0x17, 0xF9, 0xAE, 0x4C, 0x70, 0x14, 0xBB, 0x4E, 0x4B, 0x96, 0xAF, 0xC7 }, + { 0x3F, 0x85, 0x81, 0x4A, 0x18, 0x19, 0x5F, 0x87, 0x9A, 0xA9, 0x62, 0xF9, 0x5D, 0x26, 0xBD, 0x82, 0xA2, 0x78, 0xF2, 0xB8, 0x23, 0x20, 0x21, 0x8F, 0x6B, 0x3B, 0xD6, 0xF7, 0xF6, 0x67, 0xA6, 0xD9 }, + { 0x1B, 0x61, 0x8F, 0xBA, 0xA5, 0x66, 0xB3, 0xD4, 0x98, 0xC1, 0x2E, 0x98, 0x2C, 0x9E, 0xC5, 0x2E, 0x4D, 0xA8, 0x5A, 0x8C, 0x54, 0xF3, 0x8F, 0x34, 0xC0, 0x90, 0x39, 0x4F, 0x23, 0xC1, 0x84, 0xC1 }, + { 0x0C, 0x75, 0x8F, 0xB5, 0x69, 0x2F, 0xFD, 0x41, 0xA3, 0x57, 0x5D, 0x0A, 0xF0, 0x0C, 0xC7, 0xFB, 0xF2, 0xCB, 0xE5, 0x90, 0x5A, 0x58, 0x32, 0x3A, 0x88, 0xAE, 0x42, 0x44, 0xF6, 0xE4, 0xC9, 0x93 }, + { 0xA9, 0x31, 0x36, 0x0C, 0xAD, 0x62, 0x8C, 0x7F, 0x12, 0xA6, 0xC1, 0xC4, 0xB7, 0x53, 0xB0, 0xF4, 0x06, 0x2A, 0xEF, 0x3C, 0xE6, 0x5A, 0x1A, 0xE3, 0xF1, 0x93, 0x69, 0xDA, 0xDF, 0x3A, 0xE2, 0x3D }, + { 0xCB, 0xAC, 0x7D, 0x77, 0x3B, 0x1E, 0x3B, 0x3C, 0x66, 0x91, 0xD7, 0xAB, 0xB7, 0xE9, 0xDF, 0x04, 0x5C, 0x8B, 0xA1, 0x92, 0x68, 0xDE, 0xD1, 0x53, 0x20, 0x7F, 0x5E, 0x80, 0x43, 0x52, 0xEC, 0x5D }, + { 0x23, 0xA1, 0x96, 0xD3, 0x80, 0x2E, 0xD3, 0xC1, 0xB3, 0x84, 0x01, 0x9A, 0x82, 0x32, 0x58, 0x40, 0xD3, 0x2F, 0x71, 0x95, 0x0C, 0x45, 0x80, 0xB0, 0x34, 0x45, 0xE0, 0x89, 0x8E, 0x14, 0x05, 0x3C }, + { 0xF4, 0x49, 0x54, 0x70, 0xF2, 0x26, 0xC8, 0xC2, 0x14, 0xBE, 0x08, 0xFD, 0xFA, 0xD4, 0xBC, 0x4A, 0x2A, 0x9D, 0xBE, 0xA9, 0x13, 0x6A, 0x21, 0x0D, 0xF0, 0xD4, 0xB6, 0x49, 0x29, 0xE6, 0xFC, 0x14 }, + { 0xE2, 0x90, 0xDD, 0x27, 0x0B, 0x46, 0x7F, 0x34, 0xAB, 0x1C, 0x00, 0x2D, 0x34, 0x0F, 0xA0, 0x16, 0x25, 0x7F, 0xF1, 0x9E, 0x58, 0x33, 0xFD, 0xBB, 0xF2, 0xCB, 0x40, 0x1C, 0x3B, 0x28, 0x17, 0xDE }, + { 0x9F, 0xC7, 0xB5, 0xDE, 0xD3, 0xC1, 0x50, 0x42, 0xB2, 0xA6, 0x58, 0x2D, 0xC3, 0x9B, 0xE0, 0x16, 0xD2, 0x4A, 0x68, 0x2D, 0x5E, 0x61, 0xAD, 0x1E, 0xFF, 0x9C, 0x63, 0x30, 0x98, 0x48, 0xF7, 0x06 }, + { 0x8C, 0xCA, 0x67, 0xA3, 0x6D, 0x17, 0xD5, 0xE6, 0x34, 0x1C, 0xB5, 0x92, 0xFD, 0x7B, 0xEF, 0x99, 0x26, 0xC9, 0xE3, 0xAA, 0x10, 0x27, 0xEA, 0x11, 0xA7, 0xD8, 0xBD, 0x26, 0x0B, 0x57, 0x6E, 0x04 }, + { 0x40, 0x93, 0x92, 0xF5, 0x60, 0xF8, 0x68, 0x31, 0xDA, 0x43, 0x73, 0xEE, 0x5E, 0x00, 0x74, 0x26, 0x05, 0x95, 0xD7, 0xBC, 0x24, 0x18, 0x3B, 0x60, 0xED, 0x70, 0x0D, 0x45, 0x83, 0xD3, 0xF6, 0xF0 }, + { 0x28, 0x02, 0x16, 0x5D, 0xE0, 0x90, 0x91, 0x55, 0x46, 0xF3, 0x39, 0x8C, 0xD8, 0x49, 0x16, 0x4A, 0x19, 0xF9, 0x2A, 0xDB, 0xC3, 0x61, 0xAD, 0xC9, 0x9B, 0x0F, 0x20, 0xC8, 0xEA, 0x07, 0x10, 0x54 }, + { 0xAD, 0x83, 0x91, 0x68, 0xD9, 0xF8, 0xA4, 0xBE, 0x95, 0xBA, 0x9E, 0xF9, 0xA6, 0x92, 0xF0, 0x72, 0x56, 0xAE, 0x43, 0xFE, 0x6F, 0x98, 0x64, 0xE2, 0x90, 0x69, 0x1B, 0x02, 0x56, 0xCE, 0x50, 0xA9 }, + { 0x75, 0xFD, 0xAA, 0x50, 0x38, 0xC2, 0x84, 0xB8, 0x6D, 0x6E, 0x8A, 0xFF, 0xE8, 0xB2, 0x80, 0x7E, 0x46, 0x7B, 0x86, 0x60, 0x0E, 0x79, 0xAF, 0x36, 0x89, 0xFB, 0xC0, 0x63, 0x28, 0xCB, 0xF8, 0x94 }, + { 0xE5, 0x7C, 0xB7, 0x94, 0x87, 0xDD, 0x57, 0x90, 0x24, 0x32, 0xB2, 0x50, 0x73, 0x38, 0x13, 0xBD, 0x96, 0xA8, 0x4E, 0xFC, 0xE5, 0x9F, 0x65, 0x0F, 0xAC, 0x26, 0xE6, 0x69, 0x6A, 0xEF, 0xAF, 0xC3 }, + { 0x56, 0xF3, 0x4E, 0x8B, 0x96, 0x55, 0x7E, 0x90, 0xC1, 0xF2, 0x4B, 0x52, 0xD0, 0xC8, 0x9D, 0x51, 0x08, 0x6A, 0xCF, 0x1B, 0x00, 0xF6, 0x34, 0xCF, 0x1D, 0xDE, 0x92, 0x33, 0xB8, 0xEA, 0xAA, 0x3E }, + { 0x1B, 0x53, 0xEE, 0x94, 0xAA, 0xF3, 0x4E, 0x4B, 0x15, 0x9D, 0x48, 0xDE, 0x35, 0x2C, 0x7F, 0x06, 0x61, 0xD0, 0xA4, 0x0E, 0xDF, 0xF9, 0x5A, 0x0B, 0x16, 0x39, 0xB4, 0x09, 0x0E, 0x97, 0x44, 0x72 }, + { 0x05, 0x70, 0x5E, 0x2A, 0x81, 0x75, 0x7C, 0x14, 0xBD, 0x38, 0x3E, 0xA9, 0x8D, 0xDA, 0x54, 0x4E, 0xB1, 0x0E, 0x6B, 0xC0, 0x7B, 0xAE, 0x43, 0x5E, 0x25, 0x18, 0xDB, 0xE1, 0x33, 0x52, 0x53, 0x75 }, + { 0xD8, 0xB2, 0x86, 0x6E, 0x8A, 0x30, 0x9D, 0xB5, 0x3E, 0x52, 0x9E, 0xC3, 0x29, 0x11, 0xD8, 0x2F, 0x5C, 0xA1, 0x6C, 0xFF, 0x76, 0x21, 0x68, 0x91, 0xA9, 0x67, 0x6A, 0xA3, 0x1A, 0xAA, 0x6C, 0x42 }, + { 0xF5, 0x04, 0x1C, 0x24, 0x12, 0x70, 0xEB, 0x04, 0xC7, 0x1E, 0xC2, 0xC9, 0x5D, 0x4C, 0x38, 0xD8, 0x03, 0xB1, 0x23, 0x7B, 0x0F, 0x29, 0xFD, 0x4D, 0xB3, 0xEB, 0x39, 0x76, 0x69, 0xE8, 0x86, 0x99 }, + { 0x9A, 0x4C, 0xE0, 0x77, 0xC3, 0x49, 0x32, 0x2F, 0x59, 0x5E, 0x0E, 0xE7, 0x9E, 0xD0, 0xDA, 0x5F, 0xAB, 0x66, 0x75, 0x2C, 0xBF, 0xEF, 0x8F, 0x87, 0xD0, 0xE9, 0xD0, 0x72, 0x3C, 0x75, 0x30, 0xDD }, + { 0x65, 0x7B, 0x09, 0xF3, 0xD0, 0xF5, 0x2B, 0x5B, 0x8F, 0x2F, 0x97, 0x16, 0x3A, 0x0E, 0xDF, 0x0C, 0x04, 0xF0, 0x75, 0x40, 0x8A, 0x07, 0xBB, 0xEB, 0x3A, 0x41, 0x01, 0xA8, 0x91, 0x99, 0x0D, 0x62 }, + { 0x1E, 0x3F, 0x7B, 0xD5, 0xA5, 0x8F, 0xA5, 0x33, 0x34, 0x4A, 0xA8, 0xED, 0x3A, 0xC1, 0x22, 0xBB, 0x9E, 0x70, 0xD4, 0xEF, 0x50, 0xD0, 0x04, 0x53, 0x08, 0x21, 0x94, 0x8F, 0x5F, 0xE6, 0x31, 0x5A }, + { 0x80, 0xDC, 0xCF, 0x3F, 0xD8, 0x3D, 0xFD, 0x0D, 0x35, 0xAA, 0x28, 0x58, 0x59, 0x22, 0xAB, 0x89, 0xD5, 0x31, 0x39, 0x97, 0x67, 0x3E, 0xAF, 0x90, 0x5C, 0xEA, 0x9C, 0x0B, 0x22, 0x5C, 0x7B, 0x5F }, + { 0x8A, 0x0D, 0x0F, 0xBF, 0x63, 0x77, 0xD8, 0x3B, 0xB0, 0x8B, 0x51, 0x4B, 0x4B, 0x1C, 0x43, 0xAC, 0xC9, 0x5D, 0x75, 0x17, 0x14, 0xF8, 0x92, 0x56, 0x45, 0xCB, 0x6B, 0xC8, 0x56, 0xCA, 0x15, 0x0A }, + { 0x9F, 0xA5, 0xB4, 0x87, 0x73, 0x8A, 0xD2, 0x84, 0x4C, 0xC6, 0x34, 0x8A, 0x90, 0x19, 0x18, 0xF6, 0x59, 0xA3, 0xB8, 0x9E, 0x9C, 0x0D, 0xFE, 0xEA, 0xD3, 0x0D, 0xD9, 0x4B, 0xCF, 0x42, 0xEF, 0x8E }, + { 0x80, 0x83, 0x2C, 0x4A, 0x16, 0x77, 0xF5, 0xEA, 0x25, 0x60, 0xF6, 0x68, 0xE9, 0x35, 0x4D, 0xD3, 0x69, 0x97, 0xF0, 0x37, 0x28, 0xCF, 0xA5, 0x5E, 0x1B, 0x38, 0x33, 0x7C, 0x0C, 0x9E, 0xF8, 0x18 }, + { 0xAB, 0x37, 0xDD, 0xB6, 0x83, 0x13, 0x7E, 0x74, 0x08, 0x0D, 0x02, 0x6B, 0x59, 0x0B, 0x96, 0xAE, 0x9B, 0xB4, 0x47, 0x72, 0x2F, 0x30, 0x5A, 0x5A, 0xC5, 0x70, 0xEC, 0x1D, 0xF9, 0xB1, 0x74, 0x3C }, + { 0x3E, 0xE7, 0x35, 0xA6, 0x94, 0xC2, 0x55, 0x9B, 0x69, 0x3A, 0xA6, 0x86, 0x29, 0x36, 0x1E, 0x15, 0xD1, 0x22, 0x65, 0xAD, 0x6A, 0x3D, 0xED, 0xF4, 0x88, 0xB0, 0xB0, 0x0F, 0xAC, 0x97, 0x54, 0xBA }, + { 0xD6, 0xFC, 0xD2, 0x32, 0x19, 0xB6, 0x47, 0xE4, 0xCB, 0xD5, 0xEB, 0x2D, 0x0A, 0xD0, 0x1E, 0xC8, 0x83, 0x8A, 0x4B, 0x29, 0x01, 0xFC, 0x32, 0x5C, 0xC3, 0x70, 0x19, 0x81, 0xCA, 0x6C, 0x88, 0x8B }, + { 0x05, 0x20, 0xEC, 0x2F, 0x5B, 0xF7, 0xA7, 0x55, 0xDA, 0xCB, 0x50, 0xC6, 0xBF, 0x23, 0x3E, 0x35, 0x15, 0x43, 0x47, 0x63, 0xDB, 0x01, 0x39, 0xCC, 0xD9, 0xFA, 0xEF, 0xBB, 0x82, 0x07, 0x61, 0x2D }, + { 0xAF, 0xF3, 0xB7, 0x5F, 0x3F, 0x58, 0x12, 0x64, 0xD7, 0x66, 0x16, 0x62, 0xB9, 0x2F, 0x5A, 0xD3, 0x7C, 0x1D, 0x32, 0xBD, 0x45, 0xFF, 0x81, 0xA4, 0xED, 0x8A, 0xDC, 0x9E, 0xF3, 0x0D, 0xD9, 0x89 }, + { 0xD0, 0xDD, 0x65, 0x0B, 0xEF, 0xD3, 0xBA, 0x63, 0xDC, 0x25, 0x10, 0x2C, 0x62, 0x7C, 0x92, 0x1B, 0x9C, 0xBE, 0xB0, 0xB1, 0x30, 0x68, 0x69, 0x35, 0xB5, 0xC9, 0x27, 0xCB, 0x7C, 0xCD, 0x5E, 0x3B }, + { 0xE1, 0x14, 0x98, 0x16, 0xB1, 0x0A, 0x85, 0x14, 0xFB, 0x3E, 0x2C, 0xAB, 0x2C, 0x08, 0xBE, 0xE9, 0xF7, 0x3C, 0xE7, 0x62, 0x21, 0x70, 0x12, 0x46, 0xA5, 0x89, 0xBB, 0xB6, 0x73, 0x02, 0xD8, 0xA9 }, + { 0x7D, 0xA3, 0xF4, 0x41, 0xDE, 0x90, 0x54, 0x31, 0x7E, 0x72, 0xB5, 0xDB, 0xF9, 0x79, 0xDA, 0x01, 0xE6, 0xBC, 0xEE, 0xBB, 0x84, 0x78, 0xEA, 0xE6, 0xA2, 0x28, 0x49, 0xD9, 0x02, 0x92, 0x63, 0x5C }, + { 0x12, 0x30, 0xB1, 0xFC, 0x8A, 0x7D, 0x92, 0x15, 0xED, 0xC2, 0xD4, 0xA2, 0xDE, 0xCB, 0xDD, 0x0A, 0x6E, 0x21, 0x6C, 0x92, 0x42, 0x78, 0xC9, 0x1F, 0xC5, 0xD1, 0x0E, 0x7D, 0x60, 0x19, 0x2D, 0x94 }, + { 0x57, 0x50, 0xD7, 0x16, 0xB4, 0x80, 0x8F, 0x75, 0x1F, 0xEB, 0xC3, 0x88, 0x06, 0xBA, 0x17, 0x0B, 0xF6, 0xD5, 0x19, 0x9A, 0x78, 0x16, 0xBE, 0x51, 0x4E, 0x3F, 0x93, 0x2F, 0xBE, 0x0C, 0xB8, 0x71 }, + { 0x6F, 0xC5, 0x9B, 0x2F, 0x10, 0xFE, 0xBA, 0x95, 0x4A, 0xA6, 0x82, 0x0B, 0x3C, 0xA9, 0x87, 0xEE, 0x81, 0xD5, 0xCC, 0x1D, 0xA3, 0xC6, 0x3C, 0xE8, 0x27, 0x30, 0x1C, 0x56, 0x9D, 0xFB, 0x39, 0xCE }, + { 0xC7, 0xC3, 0xFE, 0x1E, 0xEB, 0xDC, 0x7B, 0x5A, 0x93, 0x93, 0x26, 0xE8, 0xDD, 0xB8, 0x3E, 0x8B, 0xF2, 0xB7, 0x80, 0xB6, 0x56, 0x78, 0xCB, 0x62, 0xF2, 0x08, 0xB0, 0x40, 0xAB, 0xDD, 0x35, 0xE2 }, + { 0x0C, 0x75, 0xC1, 0xA1, 0x5C, 0xF3, 0x4A, 0x31, 0x4E, 0xE4, 0x78, 0xF4, 0xA5, 0xCE, 0x0B, 0x8A, 0x6B, 0x36, 0x52, 0x8E, 0xF7, 0xA8, 0x20, 0x69, 0x6C, 0x3E, 0x42, 0x46, 0xC5, 0xA1, 0x58, 0x64 }, + { 0x21, 0x6D, 0xC1, 0x2A, 0x10, 0x85, 0x69, 0xA3, 0xC7, 0xCD, 0xDE, 0x4A, 0xED, 0x43, 0xA6, 0xC3, 0x30, 0x13, 0x9D, 0xDA, 0x3C, 0xCC, 0x4A, 0x10, 0x89, 0x05, 0xDB, 0x38, 0x61, 0x89, 0x90, 0x50 }, + { 0xA5, 0x7B, 0xE6, 0xAE, 0x67, 0x56, 0xF2, 0x8B, 0x02, 0xF5, 0x9D, 0xAD, 0xF7, 0xE0, 0xD7, 0xD8, 0x80, 0x7F, 0x10, 0xFA, 0x15, 0xCE, 0xD1, 0xAD, 0x35, 0x85, 0x52, 0x1A, 0x1D, 0x99, 0x5A, 0x89 }, + { 0x81, 0x6A, 0xEF, 0x87, 0x59, 0x53, 0x71, 0x6C, 0xD7, 0xA5, 0x81, 0xF7, 0x32, 0xF5, 0x3D, 0xD4, 0x35, 0xDA, 0xB6, 0x6D, 0x09, 0xC3, 0x61, 0xD2, 0xD6, 0x59, 0x2D, 0xE1, 0x77, 0x55, 0xD8, 0xA8 }, + { 0x9A, 0x76, 0x89, 0x32, 0x26, 0x69, 0x3B, 0x6E, 0xA9, 0x7E, 0x6A, 0x73, 0x8F, 0x9D, 0x10, 0xFB, 0x3D, 0x0B, 0x43, 0xAE, 0x0E, 0x8B, 0x7D, 0x81, 0x23, 0xEA, 0x76, 0xCE, 0x97, 0x98, 0x9C, 0x7E }, + { 0x8D, 0xAE, 0xDB, 0x9A, 0x27, 0x15, 0x29, 0xDB, 0xB7, 0xDC, 0x3B, 0x60, 0x7F, 0xE5, 0xEB, 0x2D, 0x32, 0x11, 0x77, 0x07, 0x58, 0xDD, 0x3B, 0x0A, 0x35, 0x93, 0xD2, 0xD7, 0x95, 0x4E, 0x2D, 0x5B }, + { 0x16, 0xDB, 0xC0, 0xAA, 0x5D, 0xD2, 0xC7, 0x74, 0xF5, 0x05, 0x10, 0x0F, 0x73, 0x37, 0x86, 0xD8, 0xA1, 0x75, 0xFC, 0xBB, 0xB5, 0x9C, 0x43, 0xE1, 0xFB, 0xFF, 0x3E, 0x1E, 0xAF, 0x31, 0xCB, 0x4A }, + { 0x86, 0x06, 0xCB, 0x89, 0x9C, 0x6A, 0xEA, 0xF5, 0x1B, 0x9D, 0xB0, 0xFE, 0x49, 0x24, 0xA9, 0xFD, 0x5D, 0xAB, 0xC1, 0x9F, 0x88, 0x26, 0xF2, 0xBC, 0x1C, 0x1D, 0x7D, 0xA1, 0x4D, 0x2C, 0x2C, 0x99 }, + { 0x84, 0x79, 0x73, 0x1A, 0xED, 0xA5, 0x7B, 0xD3, 0x7E, 0xAD, 0xB5, 0x1A, 0x50, 0x7E, 0x30, 0x7F, 0x3B, 0xD9, 0x5E, 0x69, 0xDB, 0xCA, 0x94, 0xF3, 0xBC, 0x21, 0x72, 0x60, 0x66, 0xAD, 0x6D, 0xFD }, + { 0x58, 0x47, 0x3A, 0x9E, 0xA8, 0x2E, 0xFA, 0x3F, 0x3B, 0x3D, 0x8F, 0xC8, 0x3E, 0xD8, 0x86, 0x31, 0x27, 0xB3, 0x3A, 0xE8, 0xDE, 0xAE, 0x63, 0x07, 0x20, 0x1E, 0xDB, 0x6D, 0xDE, 0x61, 0xDE, 0x29 }, + { 0x9A, 0x92, 0x55, 0xD5, 0x3A, 0xF1, 0x16, 0xDE, 0x8B, 0xA2, 0x7C, 0xE3, 0x5B, 0x4C, 0x7E, 0x15, 0x64, 0x06, 0x57, 0xA0, 0xFC, 0xB8, 0x88, 0xC7, 0x0D, 0x95, 0x43, 0x1D, 0xAC, 0xD8, 0xF8, 0x30 }, + { 0x9E, 0xB0, 0x5F, 0xFB, 0xA3, 0x9F, 0xD8, 0x59, 0x6A, 0x45, 0x49, 0x3E, 0x18, 0xD2, 0x51, 0x0B, 0xF3, 0xEF, 0x06, 0x5C, 0x51, 0xD6, 0xE1, 0x3A, 0xBE, 0x66, 0xAA, 0x57, 0xE0, 0x5C, 0xFD, 0xB7 }, + { 0x81, 0xDC, 0xC3, 0xA5, 0x05, 0xEA, 0xCE, 0x3F, 0x87, 0x9D, 0x8F, 0x70, 0x27, 0x76, 0x77, 0x0F, 0x9D, 0xF5, 0x0E, 0x52, 0x1D, 0x14, 0x28, 0xA8, 0x5D, 0xAF, 0x04, 0xF9, 0xAD, 0x21, 0x50, 0xE0 }, + { 0xE3, 0xE3, 0xC4, 0xAA, 0x3A, 0xCB, 0xBC, 0x85, 0x33, 0x2A, 0xF9, 0xD5, 0x64, 0xBC, 0x24, 0x16, 0x5E, 0x16, 0x87, 0xF6, 0xB1, 0xAD, 0xCB, 0xFA, 0xE7, 0x7A, 0x8F, 0x03, 0xC7, 0x2A, 0xC2, 0x8C }, + { 0x67, 0x46, 0xC8, 0x0B, 0x4E, 0xB5, 0x6A, 0xEA, 0x45, 0xE6, 0x4E, 0x72, 0x89, 0xBB, 0xA3, 0xED, 0xBF, 0x45, 0xEC, 0xF8, 0x20, 0x64, 0x81, 0xFF, 0x63, 0x02, 0x12, 0x29, 0x84, 0xCD, 0x52, 0x6A }, + { 0x2B, 0x62, 0x8E, 0x52, 0x76, 0x4D, 0x7D, 0x62, 0xC0, 0x86, 0x8B, 0x21, 0x23, 0x57, 0xCD, 0xD1, 0x2D, 0x91, 0x49, 0x82, 0x2F, 0x4E, 0x98, 0x45, 0xD9, 0x18, 0xA0, 0x8D, 0x1A, 0xE9, 0x90, 0xC0 }, + { 0xE4, 0xBF, 0xE8, 0x0D, 0x58, 0xC9, 0x19, 0x94, 0x61, 0x39, 0x09, 0xDC, 0x4B, 0x1A, 0x12, 0x49, 0x68, 0x96, 0xC0, 0x04, 0xAF, 0x7B, 0x57, 0x01, 0x48, 0x3D, 0xE4, 0x5D, 0x28, 0x23, 0xD7, 0x8E }, + { 0xEB, 0xB4, 0xBA, 0x15, 0x0C, 0xEF, 0x27, 0x34, 0x34, 0x5B, 0x5D, 0x64, 0x1B, 0xBE, 0xD0, 0x3A, 0x21, 0xEA, 0xFA, 0xE9, 0x33, 0xC9, 0x9E, 0x00, 0x92, 0x12, 0xEF, 0x04, 0x57, 0x4A, 0x85, 0x30 }, + { 0x39, 0x66, 0xEC, 0x73, 0xB1, 0x54, 0xAC, 0xC6, 0x97, 0xAC, 0x5C, 0xF5, 0xB2, 0x4B, 0x40, 0xBD, 0xB0, 0xDB, 0x9E, 0x39, 0x88, 0x36, 0xD7, 0x6D, 0x4B, 0x88, 0x0E, 0x3B, 0x2A, 0xF1, 0xAA, 0x27 }, + { 0xEF, 0x7E, 0x48, 0x31, 0xB3, 0xA8, 0x46, 0x36, 0x51, 0x8D, 0x6E, 0x4B, 0xFC, 0xE6, 0x4A, 0x43, 0xDB, 0x2A, 0x5D, 0xDA, 0x9C, 0xCA, 0x2B, 0x44, 0xF3, 0x90, 0x33, 0xBD, 0xC4, 0x0D, 0x62, 0x43 }, + { 0x7A, 0xBF, 0x6A, 0xCF, 0x5C, 0x8E, 0x54, 0x9D, 0xDB, 0xB1, 0x5A, 0xE8, 0xD8, 0xB3, 0x88, 0xC1, 0xC1, 0x97, 0xE6, 0x98, 0x73, 0x7C, 0x97, 0x85, 0x50, 0x1E, 0xD1, 0xF9, 0x49, 0x30, 0xB7, 0xD9 }, + { 0x88, 0x01, 0x8D, 0xED, 0x66, 0x81, 0x3F, 0x0C, 0xA9, 0x5D, 0xEF, 0x47, 0x4C, 0x63, 0x06, 0x92, 0x01, 0x99, 0x67, 0xB9, 0xE3, 0x68, 0x88, 0xDA, 0xDD, 0x94, 0x12, 0x47, 0x19, 0xB6, 0x82, 0xF6 }, + { 0x39, 0x30, 0x87, 0x6B, 0x9F, 0xC7, 0x52, 0x90, 0x36, 0xB0, 0x08, 0xB1, 0xB8, 0xBB, 0x99, 0x75, 0x22, 0xA4, 0x41, 0x63, 0x5A, 0x0C, 0x25, 0xEC, 0x02, 0xFB, 0x6D, 0x90, 0x26, 0xE5, 0x5A, 0x97 }, + { 0x0A, 0x40, 0x49, 0xD5, 0x7E, 0x83, 0x3B, 0x56, 0x95, 0xFA, 0xC9, 0x3D, 0xD1, 0xFB, 0xEF, 0x31, 0x66, 0xB4, 0x4B, 0x12, 0xAD, 0x11, 0x24, 0x86, 0x62, 0x38, 0x3A, 0xE0, 0x51, 0xE1, 0x58, 0x27 }, + { 0x81, 0xDC, 0xC0, 0x67, 0x8B, 0xB6, 0xA7, 0x65, 0xE4, 0x8C, 0x32, 0x09, 0x65, 0x4F, 0xE9, 0x00, 0x89, 0xCE, 0x44, 0xFF, 0x56, 0x18, 0x47, 0x7E, 0x39, 0xAB, 0x28, 0x64, 0x76, 0xDF, 0x05, 0x2B }, + { 0xE6, 0x9B, 0x3A, 0x36, 0xA4, 0x46, 0x19, 0x12, 0xDC, 0x08, 0x34, 0x6B, 0x11, 0xDD, 0xCB, 0x9D, 0xB7, 0x96, 0xF8, 0x85, 0xFD, 0x01, 0x93, 0x6E, 0x66, 0x2F, 0xE2, 0x92, 0x97, 0xB0, 0x99, 0xA4 }, + { 0x5A, 0xC6, 0x50, 0x3B, 0x0D, 0x8D, 0xA6, 0x91, 0x76, 0x46, 0xE6, 0xDC, 0xC8, 0x7E, 0xDC, 0x58, 0xE9, 0x42, 0x45, 0x32, 0x4C, 0xC2, 0x04, 0xF4, 0xDD, 0x4A, 0xF0, 0x15, 0x63, 0xAC, 0xD4, 0x27 }, + { 0xDF, 0x6D, 0xDA, 0x21, 0x35, 0x9A, 0x30, 0xBC, 0x27, 0x17, 0x80, 0x97, 0x1C, 0x1A, 0xBD, 0x56, 0xA6, 0xEF, 0x16, 0x7E, 0x48, 0x08, 0x87, 0x88, 0x8E, 0x73, 0xA8, 0x6D, 0x3B, 0xF6, 0x05, 0xE9 }, + { 0xE8, 0xE6, 0xE4, 0x70, 0x71, 0xE7, 0xB7, 0xDF, 0x25, 0x80, 0xF2, 0x25, 0xCF, 0xBB, 0xED, 0xF8, 0x4C, 0xE6, 0x77, 0x46, 0x62, 0x66, 0x28, 0xD3, 0x30, 0x97, 0xE4, 0xB7, 0xDC, 0x57, 0x11, 0x07 }, + { 0x53, 0xE4, 0x0E, 0xAD, 0x62, 0x05, 0x1E, 0x19, 0xCB, 0x9B, 0xA8, 0x13, 0x3E, 0x3E, 0x5C, 0x1C, 0xE0, 0x0D, 0xDC, 0xAD, 0x8A, 0xCF, 0x34, 0x2A, 0x22, 0x43, 0x60, 0xB0, 0xAC, 0xC1, 0x47, 0x77 }, + { 0x9C, 0xCD, 0x53, 0xFE, 0x80, 0xBE, 0x78, 0x6A, 0xA9, 0x84, 0x63, 0x84, 0x62, 0xFB, 0x28, 0xAF, 0xDF, 0x12, 0x2B, 0x34, 0xD7, 0x8F, 0x46, 0x87, 0xEC, 0x63, 0x2B, 0xB1, 0x9D, 0xE2, 0x37, 0x1A }, + { 0xCB, 0xD4, 0x80, 0x52, 0xC4, 0x8D, 0x78, 0x84, 0x66, 0xA3, 0xE8, 0x11, 0x8C, 0x56, 0xC9, 0x7F, 0xE1, 0x46, 0xE5, 0x54, 0x6F, 0xAA, 0xF9, 0x3E, 0x2B, 0xC3, 0xC4, 0x7E, 0x45, 0x93, 0x97, 0x53 }, + { 0x25, 0x68, 0x83, 0xB1, 0x4E, 0x2A, 0xF4, 0x4D, 0xAD, 0xB2, 0x8E, 0x1B, 0x34, 0xB2, 0xAC, 0x0F, 0x0F, 0x4C, 0x91, 0xC3, 0x4E, 0xC9, 0x16, 0x9E, 0x29, 0x03, 0x61, 0x58, 0xAC, 0xAA, 0x95, 0xB9 }, + { 0x44, 0x71, 0xB9, 0x1A, 0xB4, 0x2D, 0xB7, 0xC4, 0xDD, 0x84, 0x90, 0xAB, 0x95, 0xA2, 0xEE, 0x8D, 0x04, 0xE3, 0xEF, 0x5C, 0x3D, 0x6F, 0xC7, 0x1A, 0xC7, 0x4B, 0x2B, 0x26, 0x91, 0x4D, 0x16, 0x41 }, + { 0xA5, 0xEB, 0x08, 0x03, 0x8F, 0x8F, 0x11, 0x55, 0xED, 0x86, 0xE6, 0x31, 0x90, 0x6F, 0xC1, 0x30, 0x95, 0xF6, 0xBB, 0xA4, 0x1D, 0xE5, 0xD4, 0xE7, 0x95, 0x75, 0x8E, 0xC8, 0xC8, 0xDF, 0x8A, 0xF1 }, + { 0xDC, 0x1D, 0xB6, 0x4E, 0xD8, 0xB4, 0x8A, 0x91, 0x0E, 0x06, 0x0A, 0x6B, 0x86, 0x63, 0x74, 0xC5, 0x78, 0x78, 0x4E, 0x9A, 0xC4, 0x9A, 0xB2, 0x77, 0x40, 0x92, 0xAC, 0x71, 0x50, 0x19, 0x34, 0xAC }, + { 0x28, 0x54, 0x13, 0xB2, 0xF2, 0xEE, 0x87, 0x3D, 0x34, 0x31, 0x9E, 0xE0, 0xBB, 0xFB, 0xB9, 0x0F, 0x32, 0xDA, 0x43, 0x4C, 0xC8, 0x7E, 0x3D, 0xB5, 0xED, 0x12, 0x1B, 0xB3, 0x98, 0xED, 0x96, 0x4B }, + { 0x02, 0x16, 0xE0, 0xF8, 0x1F, 0x75, 0x0F, 0x26, 0xF1, 0x99, 0x8B, 0xC3, 0x93, 0x4E, 0x3E, 0x12, 0x4C, 0x99, 0x45, 0xE6, 0x85, 0xA6, 0x0B, 0x25, 0xE8, 0xFB, 0xD9, 0x62, 0x5A, 0xB6, 0xB5, 0x99 }, + { 0x38, 0xC4, 0x10, 0xF5, 0xB9, 0xD4, 0x07, 0x20, 0x50, 0x75, 0x5B, 0x31, 0xDC, 0xA8, 0x9F, 0xD5, 0x39, 0x5C, 0x67, 0x85, 0xEE, 0xB3, 0xD7, 0x90, 0xF3, 0x20, 0xFF, 0x94, 0x1C, 0x5A, 0x93, 0xBF }, + { 0xF1, 0x84, 0x17, 0xB3, 0x9D, 0x61, 0x7A, 0xB1, 0xC1, 0x8F, 0xDF, 0x91, 0xEB, 0xD0, 0xFC, 0x6D, 0x55, 0x16, 0xBB, 0x34, 0xCF, 0x39, 0x36, 0x40, 0x37, 0xBC, 0xE8, 0x1F, 0xA0, 0x4C, 0xEC, 0xB1 }, + { 0x1F, 0xA8, 0x77, 0xDE, 0x67, 0x25, 0x9D, 0x19, 0x86, 0x3A, 0x2A, 0x34, 0xBC, 0xC6, 0x96, 0x2A, 0x2B, 0x25, 0xFC, 0xBF, 0x5C, 0xBE, 0xCD, 0x7E, 0xDE, 0x8F, 0x1F, 0xA3, 0x66, 0x88, 0xA7, 0x96 }, + { 0x5B, 0xD1, 0x69, 0xE6, 0x7C, 0x82, 0xC2, 0xC2, 0xE9, 0x8E, 0xF7, 0x00, 0x8B, 0xDF, 0x26, 0x1F, 0x2D, 0xDF, 0x30, 0xB1, 0xC0, 0x0F, 0x9E, 0x7F, 0x27, 0x5B, 0xB3, 0xE8, 0xA2, 0x8D, 0xC9, 0xA2 }, + { 0xC8, 0x0A, 0xBE, 0xEB, 0xB6, 0x69, 0xAD, 0x5D, 0xEE, 0xB5, 0xF5, 0xEC, 0x8E, 0xA6, 0xB7, 0xA0, 0x5D, 0xDF, 0x7D, 0x31, 0xEC, 0x4C, 0x0A, 0x2E, 0xE2, 0x0B, 0x0B, 0x98, 0xCA, 0xEC, 0x67, 0x46 }, + { 0xE7, 0x6D, 0x3F, 0xBD, 0xA5, 0xBA, 0x37, 0x4E, 0x6B, 0xF8, 0xE5, 0x0F, 0xAD, 0xC3, 0xBB, 0xB9, 0xBA, 0x5C, 0x20, 0x6E, 0xBD, 0xEC, 0x89, 0xA3, 0xA5, 0x4C, 0xF3, 0xDD, 0x84, 0xA0, 0x70, 0x16 }, + { 0x7B, 0xBA, 0x9D, 0xC5, 0xB5, 0xDB, 0x20, 0x71, 0xD1, 0x77, 0x52, 0xB1, 0x04, 0x4C, 0x1E, 0xCE, 0xD9, 0x6A, 0xAF, 0x2D, 0xD4, 0x6E, 0x9B, 0x43, 0x37, 0x50, 0xE8, 0xEA, 0x0D, 0xCC, 0x18, 0x70 }, + { 0xF2, 0x9B, 0x1B, 0x1A, 0xB9, 0xBA, 0xB1, 0x63, 0x01, 0x8E, 0xE3, 0xDA, 0x15, 0x23, 0x2C, 0xCA, 0x78, 0xEC, 0x52, 0xDB, 0xC3, 0x4E, 0xDA, 0x5B, 0x82, 0x2E, 0xC1, 0xD8, 0x0F, 0xC2, 0x1B, 0xD0 }, + { 0x9E, 0xE3, 0xE3, 0xE7, 0xE9, 0x00, 0xF1, 0xE1, 0x1D, 0x30, 0x8C, 0x4B, 0x2B, 0x30, 0x76, 0xD2, 0x72, 0xCF, 0x70, 0x12, 0x4F, 0x9F, 0x51, 0xE1, 0xDA, 0x60, 0xF3, 0x78, 0x46, 0xCD, 0xD2, 0xF4 }, + { 0x70, 0xEA, 0x3B, 0x01, 0x76, 0x92, 0x7D, 0x90, 0x96, 0xA1, 0x85, 0x08, 0xCD, 0x12, 0x3A, 0x29, 0x03, 0x25, 0x92, 0x0A, 0x9D, 0x00, 0xA8, 0x9B, 0x5D, 0xE0, 0x42, 0x73, 0xFB, 0xC7, 0x6B, 0x85 }, + { 0x67, 0xDE, 0x25, 0xC0, 0x2A, 0x4A, 0xAB, 0xA2, 0x3B, 0xDC, 0x97, 0x3C, 0x8B, 0xB0, 0xB5, 0x79, 0x6D, 0x47, 0xCC, 0x06, 0x59, 0xD4, 0x3D, 0xFF, 0x1F, 0x97, 0xDE, 0x17, 0x49, 0x63, 0xB6, 0x8E }, + { 0xB2, 0x16, 0x8E, 0x4E, 0x0F, 0x18, 0xB0, 0xE6, 0x41, 0x00, 0xB5, 0x17, 0xED, 0x95, 0x25, 0x7D, 0x73, 0xF0, 0x62, 0x0D, 0xF8, 0x85, 0xC1, 0x3D, 0x2E, 0xCF, 0x79, 0x36, 0x7B, 0x38, 0x4C, 0xEE }, + { 0x2E, 0x7D, 0xEC, 0x24, 0x28, 0x85, 0x3B, 0x2C, 0x71, 0x76, 0x07, 0x45, 0x54, 0x1F, 0x7A, 0xFE, 0x98, 0x25, 0xB5, 0xDD, 0x77, 0xDF, 0x06, 0x51, 0x1D, 0x84, 0x41, 0xA9, 0x4B, 0xAC, 0xC9, 0x27 }, + { 0xCA, 0x9F, 0xFA, 0xC4, 0xC4, 0x3F, 0x0B, 0x48, 0x46, 0x1D, 0xC5, 0xC2, 0x63, 0xBE, 0xA3, 0xF6, 0xF0, 0x06, 0x11, 0xCE, 0xAC, 0xAB, 0xF6, 0xF8, 0x95, 0xBA, 0x2B, 0x01, 0x01, 0xDB, 0xB6, 0x8D }, + { 0x74, 0x10, 0xD4, 0x2D, 0x8F, 0xD1, 0xD5, 0xE9, 0xD2, 0xF5, 0x81, 0x5C, 0xB9, 0x34, 0x17, 0x99, 0x88, 0x28, 0xEF, 0x3C, 0x42, 0x30, 0xBF, 0xBD, 0x41, 0x2D, 0xF0, 0xA4, 0xA7, 0xA2, 0x50, 0x7A }, + { 0x50, 0x10, 0xF6, 0x84, 0x51, 0x6D, 0xCC, 0xD0, 0xB6, 0xEE, 0x08, 0x52, 0xC2, 0x51, 0x2B, 0x4D, 0xC0, 0x06, 0x6C, 0xF0, 0xD5, 0x6F, 0x35, 0x30, 0x29, 0x78, 0xDB, 0x8A, 0xE3, 0x2C, 0x6A, 0x81 }, + { 0xAC, 0xAA, 0xB5, 0x85, 0xF7, 0xB7, 0x9B, 0x71, 0x99, 0x35, 0xCE, 0xB8, 0x95, 0x23, 0xDD, 0xC5, 0x48, 0x27, 0xF7, 0x5C, 0x56, 0x88, 0x38, 0x56, 0x15, 0x4A, 0x56, 0xCD, 0xCD, 0x5E, 0xE9, 0x88 }, + { 0x66, 0x6D, 0xE5, 0xD1, 0x44, 0x0F, 0xEE, 0x73, 0x31, 0xAA, 0xF0, 0x12, 0x3A, 0x62, 0xEF, 0x2D, 0x8B, 0xA5, 0x74, 0x53, 0xA0, 0x76, 0x96, 0x35, 0xAC, 0x6C, 0xD0, 0x1E, 0x63, 0x3F, 0x77, 0x12 }, + { 0xA6, 0xF9, 0x86, 0x58, 0xF6, 0xEA, 0xBA, 0xF9, 0x02, 0xD8, 0xB3, 0x87, 0x1A, 0x4B, 0x10, 0x1D, 0x16, 0x19, 0x6E, 0x8A, 0x4B, 0x24, 0x1E, 0x15, 0x58, 0xFE, 0x29, 0x96, 0x6E, 0x10, 0x3E, 0x8D }, + { 0x89, 0x15, 0x46, 0xA8, 0xB2, 0x9F, 0x30, 0x47, 0xDD, 0xCF, 0xE5, 0xB0, 0x0E, 0x45, 0xFD, 0x55, 0x75, 0x63, 0x73, 0x10, 0x5E, 0xA8, 0x63, 0x7D, 0xFC, 0xFF, 0x54, 0x7B, 0x6E, 0xA9, 0x53, 0x5F }, + { 0x18, 0xDF, 0xBC, 0x1A, 0xC5, 0xD2, 0x5B, 0x07, 0x61, 0x13, 0x7D, 0xBD, 0x22, 0xC1, 0x7C, 0x82, 0x9D, 0x0F, 0x0E, 0xF1, 0xD8, 0x23, 0x44, 0xE9, 0xC8, 0x9C, 0x28, 0x66, 0x94, 0xDA, 0x24, 0xE8 }, + { 0xB5, 0x4B, 0x9B, 0x67, 0xF8, 0xFE, 0xD5, 0x4B, 0xBF, 0x5A, 0x26, 0x66, 0xDB, 0xDF, 0x4B, 0x23, 0xCF, 0xF1, 0xD1, 0xB6, 0xF4, 0xAF, 0xC9, 0x85, 0xB2, 0xE6, 0xD3, 0x30, 0x5A, 0x9F, 0xF8, 0x0F }, + { 0x7D, 0xB4, 0x42, 0xE1, 0x32, 0xBA, 0x59, 0xBC, 0x12, 0x89, 0xAA, 0x98, 0xB0, 0xD3, 0xE8, 0x06, 0x00, 0x4F, 0x8E, 0xC1, 0x28, 0x11, 0xAF, 0x1E, 0x2E, 0x33, 0xC6, 0x9B, 0xFD, 0xE7, 0x29, 0xE1 }, + { 0x25, 0x0F, 0x37, 0xCD, 0xC1, 0x5E, 0x81, 0x7D, 0x2F, 0x16, 0x0D, 0x99, 0x56, 0xC7, 0x1F, 0xE3, 0xEB, 0x5D, 0xB7, 0x45, 0x56, 0xE4, 0xAD, 0xF9, 0xA4, 0xFF, 0xAF, 0xBA, 0x74, 0x01, 0x03, 0x96 }, + { 0x4A, 0xB8, 0xA3, 0xDD, 0x1D, 0xDF, 0x8A, 0xD4, 0x3D, 0xAB, 0x13, 0xA2, 0x7F, 0x66, 0xA6, 0x54, 0x4F, 0x29, 0x05, 0x97, 0xFA, 0x96, 0x04, 0x0E, 0x0E, 0x1D, 0xB9, 0x26, 0x3A, 0xA4, 0x79, 0xF8 }, + { 0xEE, 0x61, 0x72, 0x7A, 0x07, 0x66, 0xDF, 0x93, 0x9C, 0xCD, 0xC8, 0x60, 0x33, 0x40, 0x44, 0xC7, 0x9A, 0x3C, 0x9B, 0x15, 0x62, 0x00, 0xBC, 0x3A, 0xA3, 0x29, 0x73, 0x48, 0x3D, 0x83, 0x41, 0xAE }, + { 0x3F, 0x68, 0xC7, 0xEC, 0x63, 0xAC, 0x11, 0xEB, 0xB9, 0x8F, 0x94, 0xB3, 0x39, 0xB0, 0x5C, 0x10, 0x49, 0x84, 0xFD, 0xA5, 0x01, 0x03, 0x06, 0x01, 0x44, 0xE5, 0xA2, 0xBF, 0xCC, 0xC9, 0xDA, 0x95 }, + { 0x05, 0x6F, 0x29, 0x81, 0x6B, 0x8A, 0xF8, 0xF5, 0x66, 0x82, 0xBC, 0x4D, 0x7C, 0xF0, 0x94, 0x11, 0x1D, 0xA7, 0x73, 0x3E, 0x72, 0x6C, 0xD1, 0x3D, 0x6B, 0x3E, 0x8E, 0xA0, 0x3E, 0x92, 0xA0, 0xD5 }, + { 0xF5, 0xEC, 0x43, 0xA2, 0x8A, 0xCB, 0xEF, 0xF1, 0xF3, 0x31, 0x8A, 0x5B, 0xCA, 0xC7, 0xC6, 0x6D, 0xDB, 0x52, 0x30, 0xB7, 0x9D, 0xB2, 0xD1, 0x05, 0xBC, 0xBE, 0x15, 0xF3, 0xC1, 0x14, 0x8D, 0x69 }, + { 0x2A, 0x69, 0x60, 0xAD, 0x1D, 0x8D, 0xD5, 0x47, 0x55, 0x5C, 0xFB, 0xD5, 0xE4, 0x60, 0x0F, 0x1E, 0xAA, 0x1C, 0x8E, 0xDA, 0x34, 0xDE, 0x03, 0x74, 0xEC, 0x4A, 0x26, 0xEA, 0xAA, 0xA3, 0x3B, 0x4E }, + { 0xDC, 0xC1, 0xEA, 0x7B, 0xAA, 0xB9, 0x33, 0x84, 0xF7, 0x6B, 0x79, 0x68, 0x66, 0x19, 0x97, 0x54, 0x74, 0x2F, 0x7B, 0x96, 0xD6, 0xB4, 0xC1, 0x20, 0x16, 0x5C, 0x04, 0xA6, 0xC4, 0xF5, 0xCE, 0x10 }, + { 0x13, 0xD5, 0xDF, 0x17, 0x92, 0x21, 0x37, 0x9C, 0x6A, 0x78, 0xC0, 0x7C, 0x79, 0x3F, 0xF5, 0x34, 0x87, 0xCA, 0xE6, 0xBF, 0x9F, 0xE8, 0x82, 0x54, 0x1A, 0xB0, 0xE7, 0x35, 0xE3, 0xEA, 0xDA, 0x3B }, + { 0x8C, 0x59, 0xE4, 0x40, 0x76, 0x41, 0xA0, 0x1E, 0x8F, 0xF9, 0x1F, 0x99, 0x80, 0xDC, 0x23, 0x6F, 0x4E, 0xCD, 0x6F, 0xCF, 0x52, 0x58, 0x9A, 0x09, 0x9A, 0x96, 0x16, 0x33, 0x96, 0x77, 0x14, 0xE1 }, + { 0x83, 0x3B, 0x1A, 0xC6, 0xA2, 0x51, 0xFD, 0x08, 0xFD, 0x6D, 0x90, 0x8F, 0xEA, 0x2A, 0x4E, 0xE1, 0xE0, 0x40, 0xBC, 0xA9, 0x3F, 0xC1, 0xA3, 0x8E, 0xC3, 0x82, 0x0E, 0x0C, 0x10, 0xBD, 0x82, 0xEA }, + { 0xA2, 0x44, 0xF9, 0x27, 0xF3, 0xB4, 0x0B, 0x8F, 0x6C, 0x39, 0x15, 0x70, 0xC7, 0x65, 0x41, 0x8F, 0x2F, 0x6E, 0x70, 0x8E, 0xAC, 0x90, 0x06, 0xC5, 0x1A, 0x7F, 0xEF, 0xF4, 0xAF, 0x3B, 0x2B, 0x9E }, + { 0x3D, 0x99, 0xED, 0x95, 0x50, 0xCF, 0x11, 0x96, 0xE6, 0xC4, 0xD2, 0x0C, 0x25, 0x96, 0x20, 0xF8, 0x58, 0xC3, 0xD7, 0x03, 0x37, 0x4C, 0x12, 0x8C, 0xE7, 0xB5, 0x90, 0x31, 0x0C, 0x83, 0x04, 0x6D }, + { 0x2B, 0x35, 0xC4, 0x7D, 0x7B, 0x87, 0x76, 0x1F, 0x0A, 0xE4, 0x3A, 0xC5, 0x6A, 0xC2, 0x7B, 0x9F, 0x25, 0x83, 0x03, 0x67, 0xB5, 0x95, 0xBE, 0x8C, 0x24, 0x0E, 0x94, 0x60, 0x0C, 0x6E, 0x33, 0x12 }, + { 0x5D, 0x11, 0xED, 0x37, 0xD2, 0x4D, 0xC7, 0x67, 0x30, 0x5C, 0xB7, 0xE1, 0x46, 0x7D, 0x87, 0xC0, 0x65, 0xAC, 0x4B, 0xC8, 0xA4, 0x26, 0xDE, 0x38, 0x99, 0x1F, 0xF5, 0x9A, 0xA8, 0x73, 0x5D, 0x02 }, + { 0xB8, 0x36, 0x47, 0x8E, 0x1C, 0xA0, 0x64, 0x0D, 0xCE, 0x6F, 0xD9, 0x10, 0xA5, 0x09, 0x62, 0x72, 0xC8, 0x33, 0x09, 0x90, 0xCD, 0x97, 0x86, 0x4A, 0xC2, 0xBF, 0x14, 0xEF, 0x6B, 0x23, 0x91, 0x4A }, + { 0x91, 0x00, 0xF9, 0x46, 0xD6, 0xCC, 0xDE, 0x3A, 0x59, 0x7F, 0x90, 0xD3, 0x9F, 0xC1, 0x21, 0x5B, 0xAD, 0xDC, 0x74, 0x13, 0x64, 0x3D, 0x85, 0xC2, 0x1C, 0x3E, 0xEE, 0x5D, 0x2D, 0xD3, 0x28, 0x94 }, + { 0xDA, 0x70, 0xEE, 0xDD, 0x23, 0xE6, 0x63, 0xAA, 0x1A, 0x74, 0xB9, 0x76, 0x69, 0x35, 0xB4, 0x79, 0x22, 0x2A, 0x72, 0xAF, 0xBA, 0x5C, 0x79, 0x51, 0x58, 0xDA, 0xD4, 0x1A, 0x3B, 0xD7, 0x7E, 0x40 }, + { 0xF0, 0x67, 0xED, 0x6A, 0x0D, 0xBD, 0x43, 0xAA, 0x0A, 0x92, 0x54, 0xE6, 0x9F, 0xD6, 0x6B, 0xDD, 0x8A, 0xCB, 0x87, 0xDE, 0x93, 0x6C, 0x25, 0x8C, 0xFB, 0x02, 0x28, 0x5F, 0x2C, 0x11, 0xFA, 0x79 }, + { 0x71, 0x5C, 0x99, 0xC7, 0xD5, 0x75, 0x80, 0xCF, 0x97, 0x53, 0xB4, 0xC1, 0xD7, 0x95, 0xE4, 0x5A, 0x83, 0xFB, 0xB2, 0x28, 0xC0, 0xD3, 0x6F, 0xBE, 0x20, 0xFA, 0xF3, 0x9B, 0xDD, 0x6D, 0x4E, 0x85 }, + { 0xE4, 0x57, 0xD6, 0xAD, 0x1E, 0x67, 0xCB, 0x9B, 0xBD, 0x17, 0xCB, 0xD6, 0x98, 0xFA, 0x6D, 0x7D, 0xAE, 0x0C, 0x9B, 0x7A, 0xD6, 0xCB, 0xD6, 0x53, 0x96, 0x34, 0xE3, 0x2A, 0x71, 0x9C, 0x84, 0x92 }, + { 0xEC, 0xE3, 0xEA, 0x81, 0x03, 0xE0, 0x24, 0x83, 0xC6, 0x4A, 0x70, 0xA4, 0xBD, 0xCE, 0xE8, 0xCE, 0xB6, 0x27, 0x8F, 0x25, 0x33, 0xF3, 0xF4, 0x8D, 0xBE, 0xED, 0xFB, 0xA9, 0x45, 0x31, 0xD4, 0xAE }, + { 0x38, 0x8A, 0xA5, 0xD3, 0x66, 0x7A, 0x97, 0xC6, 0x8D, 0x3D, 0x56, 0xF8, 0xF3, 0xEE, 0x8D, 0x3D, 0x36, 0x09, 0x1F, 0x17, 0xFE, 0x5D, 0x1B, 0x0D, 0x5D, 0x84, 0xC9, 0x3B, 0x2F, 0xFE, 0x40, 0xBD }, + { 0x8B, 0x6B, 0x31, 0xB9, 0xAD, 0x7C, 0x3D, 0x5C, 0xD8, 0x4B, 0xF9, 0x89, 0x47, 0xB9, 0xCD, 0xB5, 0x9D, 0xF8, 0xA2, 0x5F, 0xF7, 0x38, 0x10, 0x10, 0x13, 0xBE, 0x4F, 0xD6, 0x5E, 0x1D, 0xD1, 0xA3 }, + { 0x06, 0x62, 0x91, 0xF6, 0xBB, 0xD2, 0x5F, 0x3C, 0x85, 0x3D, 0xB7, 0xD8, 0xB9, 0x5C, 0x9A, 0x1C, 0xFB, 0x9B, 0xF1, 0xC1, 0xC9, 0x9F, 0xB9, 0x5A, 0x9B, 0x78, 0x69, 0xD9, 0x0F, 0x1C, 0x29, 0x03 }, + { 0xA7, 0x07, 0xEF, 0xBC, 0xCD, 0xCE, 0xED, 0x42, 0x96, 0x7A, 0x66, 0xF5, 0x53, 0x9B, 0x93, 0xED, 0x75, 0x60, 0xD4, 0x67, 0x30, 0x40, 0x16, 0xC4, 0x78, 0x0D, 0x77, 0x55, 0xA5, 0x65, 0xD4, 0xC4 }, + { 0x38, 0xC5, 0x3D, 0xFB, 0x70, 0xBE, 0x7E, 0x79, 0x2B, 0x07, 0xA6, 0xA3, 0x5B, 0x8A, 0x6A, 0x0A, 0xBA, 0x02, 0xC5, 0xC5, 0xF3, 0x8B, 0xAF, 0x5C, 0x82, 0x3F, 0xDF, 0xD9, 0xE4, 0x2D, 0x65, 0x7E }, + { 0xF2, 0x91, 0x13, 0x86, 0x50, 0x1D, 0x9A, 0xB9, 0xD7, 0x20, 0xCF, 0x8A, 0xD1, 0x05, 0x03, 0xD5, 0x63, 0x4B, 0xF4, 0xB7, 0xD1, 0x2B, 0x56, 0xDF, 0xB7, 0x4F, 0xEC, 0xC6, 0xE4, 0x09, 0x3F, 0x68 }, + { 0xC6, 0xF2, 0xBD, 0xD5, 0x2B, 0x81, 0xE6, 0xE4, 0xF6, 0x59, 0x5A, 0xBD, 0x4D, 0x7F, 0xB3, 0x1F, 0x65, 0x11, 0x69, 0xD0, 0x0F, 0xF3, 0x26, 0x92, 0x6B, 0x34, 0x94, 0x7B, 0x28, 0xA8, 0x39, 0x59 }, + { 0x29, 0x3D, 0x94, 0xB1, 0x8C, 0x98, 0xBB, 0x32, 0x23, 0x36, 0x6B, 0x8C, 0xE7, 0x4C, 0x28, 0xFB, 0xDF, 0x28, 0xE1, 0xF8, 0x4A, 0x33, 0x50, 0xB0, 0xEB, 0x2D, 0x18, 0x04, 0xA5, 0x77, 0x57, 0x9B }, + { 0x2C, 0x2F, 0xA5, 0xC0, 0xB5, 0x15, 0x33, 0x16, 0x5B, 0xC3, 0x75, 0xC2, 0x2E, 0x27, 0x81, 0x76, 0x82, 0x70, 0xA3, 0x83, 0x98, 0x5D, 0x13, 0xBD, 0x6B, 0x67, 0xB6, 0xFD, 0x67, 0xF8, 0x89, 0xEB }, + { 0xCA, 0xA0, 0x9B, 0x82, 0xB7, 0x25, 0x62, 0xE4, 0x3F, 0x4B, 0x22, 0x75, 0xC0, 0x91, 0x91, 0x8E, 0x62, 0x4D, 0x91, 0x16, 0x61, 0xCC, 0x81, 0x1B, 0xB5, 0xFA, 0xEC, 0x51, 0xF6, 0x08, 0x8E, 0xF7 }, + { 0x24, 0x76, 0x1E, 0x45, 0xE6, 0x74, 0x39, 0x53, 0x79, 0xFB, 0x17, 0x72, 0x9C, 0x78, 0xCB, 0x93, 0x9E, 0x6F, 0x74, 0xC5, 0xDF, 0xFB, 0x9C, 0x96, 0x1F, 0x49, 0x59, 0x82, 0xC3, 0xED, 0x1F, 0xE3 }, + { 0x55, 0xB7, 0x0A, 0x82, 0x13, 0x1E, 0xC9, 0x48, 0x88, 0xD7, 0xAB, 0x54, 0xA7, 0xC5, 0x15, 0x25, 0x5C, 0x39, 0x38, 0xBB, 0x10, 0xBC, 0x78, 0x4D, 0xC9, 0xB6, 0x7F, 0x07, 0x6E, 0x34, 0x1A, 0x73 }, + { 0x6A, 0xB9, 0x05, 0x7B, 0x97, 0x7E, 0xBC, 0x3C, 0xA4, 0xD4, 0xCE, 0x74, 0x50, 0x6C, 0x25, 0xCC, 0xCD, 0xC5, 0x66, 0x49, 0x7C, 0x45, 0x0B, 0x54, 0x15, 0xA3, 0x94, 0x86, 0xF8, 0x65, 0x7A, 0x03 }, + { 0x24, 0x06, 0x6D, 0xEE, 0xE0, 0xEC, 0xEE, 0x15, 0xA4, 0x5F, 0x0A, 0x32, 0x6D, 0x0F, 0x8D, 0xBC, 0x79, 0x76, 0x1E, 0xBB, 0x93, 0xCF, 0x8C, 0x03, 0x77, 0xAF, 0x44, 0x09, 0x78, 0xFC, 0xF9, 0x94 }, + { 0x20, 0x00, 0x0D, 0x3F, 0x66, 0xBA, 0x76, 0x86, 0x0D, 0x5A, 0x95, 0x06, 0x88, 0xB9, 0xAA, 0x0D, 0x76, 0xCF, 0xEA, 0x59, 0xB0, 0x05, 0xD8, 0x59, 0x91, 0x4B, 0x1A, 0x46, 0x65, 0x3A, 0x93, 0x9B }, + { 0xB9, 0x2D, 0xAA, 0x79, 0x60, 0x3E, 0x3B, 0xDB, 0xC3, 0xBF, 0xE0, 0xF4, 0x19, 0xE4, 0x09, 0xB2, 0xEA, 0x10, 0xDC, 0x43, 0x5B, 0xEE, 0xFE, 0x29, 0x59, 0xDA, 0x16, 0x89, 0x5D, 0x5D, 0xCA, 0x1C }, + { 0xE9, 0x47, 0x94, 0x87, 0x05, 0xB2, 0x06, 0xD5, 0x72, 0xB0, 0xE8, 0xF6, 0x2F, 0x66, 0xA6, 0x55, 0x1C, 0xBD, 0x6B, 0xC3, 0x05, 0xD2, 0x6C, 0xE7, 0x53, 0x9A, 0x12, 0xF9, 0xAA, 0xDF, 0x75, 0x71 }, + { 0x3D, 0x67, 0xC1, 0xB3, 0xF9, 0xB2, 0x39, 0x10, 0xE3, 0xD3, 0x5E, 0x6B, 0x0F, 0x2C, 0xCF, 0x44, 0xA0, 0xB5, 0x40, 0xA4, 0x5C, 0x18, 0xBA, 0x3C, 0x36, 0x26, 0x4D, 0xD4, 0x8E, 0x96, 0xAF, 0x6A }, + { 0xC7, 0x55, 0x8B, 0xAB, 0xDA, 0x04, 0xBC, 0xCB, 0x76, 0x4D, 0x0B, 0xBF, 0x33, 0x58, 0x42, 0x51, 0x41, 0x90, 0x2D, 0x22, 0x39, 0x1D, 0x9F, 0x8C, 0x59, 0x15, 0x9F, 0xEC, 0x9E, 0x49, 0xB1, 0x51 }, + { 0x0B, 0x73, 0x2B, 0xB0, 0x35, 0x67, 0x5A, 0x50, 0xFF, 0x58, 0xF2, 0xC2, 0x42, 0xE4, 0x71, 0x0A, 0xEC, 0xE6, 0x46, 0x70, 0x07, 0x9C, 0x13, 0x04, 0x4C, 0x79, 0xC9, 0xB7, 0x49, 0x1F, 0x70, 0x00 }, + { 0xD1, 0x20, 0xB5, 0xEF, 0x6D, 0x57, 0xEB, 0xF0, 0x6E, 0xAF, 0x96, 0xBC, 0x93, 0x3C, 0x96, 0x7B, 0x16, 0xCB, 0xE6, 0xE2, 0xBF, 0x00, 0x74, 0x1C, 0x30, 0xAA, 0x1C, 0x54, 0xBA, 0x64, 0x80, 0x1F }, + { 0x58, 0xD2, 0x12, 0xAD, 0x6F, 0x58, 0xAE, 0xF0, 0xF8, 0x01, 0x16, 0xB4, 0x41, 0xE5, 0x7F, 0x61, 0x95, 0xBF, 0xEF, 0x26, 0xB6, 0x14, 0x63, 0xED, 0xEC, 0x11, 0x83, 0xCD, 0xB0, 0x4F, 0xE7, 0x6D }, + { 0xB8, 0x83, 0x6F, 0x51, 0xD1, 0xE2, 0x9B, 0xDF, 0xDB, 0xA3, 0x25, 0x56, 0x53, 0x60, 0x26, 0x8B, 0x8F, 0xAD, 0x62, 0x74, 0x73, 0xED, 0xEC, 0xEF, 0x7E, 0xAE, 0xFE, 0xE8, 0x37, 0xC7, 0x40, 0x03 }, + { 0xC5, 0x47, 0xA3, 0xC1, 0x24, 0xAE, 0x56, 0x85, 0xFF, 0xA7, 0xB8, 0xED, 0xAF, 0x96, 0xEC, 0x86, 0xF8, 0xB2, 0xD0, 0xD5, 0x0C, 0xEE, 0x8B, 0xE3, 0xB1, 0xF0, 0xC7, 0x67, 0x63, 0x06, 0x9D, 0x9C }, + { 0x5D, 0x16, 0x8B, 0x76, 0x9A, 0x2F, 0x67, 0x85, 0x3D, 0x62, 0x95, 0xF7, 0x56, 0x8B, 0xE4, 0x0B, 0xB7, 0xA1, 0x6B, 0x8D, 0x65, 0xBA, 0x87, 0x63, 0x5D, 0x19, 0x78, 0xD2, 0xAB, 0x11, 0xBA, 0x2A }, + { 0xA2, 0xF6, 0x75, 0xDC, 0x73, 0x02, 0x63, 0x8C, 0xB6, 0x02, 0x01, 0x06, 0x4C, 0xA5, 0x50, 0x77, 0x71, 0x4D, 0x71, 0xFE, 0x09, 0x6A, 0x31, 0x5F, 0x2F, 0xE7, 0x40, 0x12, 0x77, 0xCA, 0xA5, 0xAF }, + { 0xC8, 0xAA, 0xB5, 0xCD, 0x01, 0x60, 0xAE, 0x78, 0xCD, 0x2E, 0x8A, 0xC5, 0xFB, 0x0E, 0x09, 0x3C, 0xDB, 0x5C, 0x4B, 0x60, 0x52, 0xA0, 0xA9, 0x7B, 0xB0, 0x42, 0x16, 0x82, 0x6F, 0xA7, 0xA4, 0x37 }, + { 0xFF, 0x68, 0xCA, 0x40, 0x35, 0xBF, 0xEB, 0x43, 0xFB, 0xF1, 0x45, 0xFD, 0xDD, 0x5E, 0x43, 0xF1, 0xCE, 0xA5, 0x4F, 0x11, 0xF7, 0xBE, 0xE1, 0x30, 0x58, 0xF0, 0x27, 0x32, 0x9A, 0x4A, 0x5F, 0xA4 }, + { 0x1D, 0x4E, 0x54, 0x87, 0xAE, 0x3C, 0x74, 0x0F, 0x2B, 0xA6, 0xE5, 0x41, 0xAC, 0x91, 0xBC, 0x2B, 0xFC, 0xD2, 0x99, 0x9C, 0x51, 0x8D, 0x80, 0x7B, 0x42, 0x67, 0x48, 0x80, 0x3A, 0x35, 0x0F, 0xD4 }, + { 0x6D, 0x24, 0x4E, 0x1A, 0x06, 0xCE, 0x4E, 0xF5, 0x78, 0xDD, 0x0F, 0x63, 0xAF, 0xF0, 0x93, 0x67, 0x06, 0x73, 0x51, 0x19, 0xCA, 0x9C, 0x8D, 0x22, 0xD8, 0x6C, 0x80, 0x14, 0x14, 0xAB, 0x97, 0x41 }, + { 0xDE, 0xCF, 0x73, 0x29, 0xDB, 0xCC, 0x82, 0x7B, 0x8F, 0xC5, 0x24, 0xC9, 0x43, 0x1E, 0x89, 0x98, 0x02, 0x9E, 0xCE, 0x12, 0xCE, 0x93, 0xB7, 0xB2, 0xF3, 0xE7, 0x69, 0xA9, 0x41, 0xFB, 0x8C, 0xEA }, + { 0x2F, 0xAF, 0xCC, 0x0F, 0x2E, 0x63, 0xCB, 0xD0, 0x77, 0x55, 0xBE, 0x7B, 0x75, 0xEC, 0xEA, 0x0A, 0xDF, 0xF9, 0xAA, 0x5E, 0xDE, 0x2A, 0x52, 0xFD, 0xAB, 0x4D, 0xFD, 0x03, 0x74, 0xCD, 0x48, 0x3F }, + { 0xAA, 0x85, 0x01, 0x0D, 0xD4, 0x6A, 0x54, 0x6B, 0x53, 0x5E, 0xF4, 0xCF, 0x5F, 0x07, 0xD6, 0x51, 0x61, 0xE8, 0x98, 0x28, 0xF3, 0xA7, 0x7D, 0xB7, 0xB9, 0xB5, 0x6F, 0x0D, 0xF5, 0x9A, 0xAE, 0x45 }, + { 0x07, 0xE8, 0xE1, 0xEE, 0x73, 0x2C, 0xB0, 0xD3, 0x56, 0xC9, 0xC0, 0xD1, 0x06, 0x9C, 0x89, 0xD1, 0x7A, 0xDF, 0x6A, 0x9A, 0x33, 0x4F, 0x74, 0x5E, 0xC7, 0x86, 0x73, 0x32, 0x54, 0x8C, 0xA8, 0xE9 }, + { 0x0E, 0x01, 0xE8, 0x1C, 0xAD, 0xA8, 0x16, 0x2B, 0xFD, 0x5F, 0x8A, 0x8C, 0x81, 0x8A, 0x6C, 0x69, 0xFE, 0xDF, 0x02, 0xCE, 0xB5, 0x20, 0x85, 0x23, 0xCB, 0xE5, 0x31, 0x3B, 0x89, 0xCA, 0x10, 0x53 }, + { 0x6B, 0xB6, 0xC6, 0x47, 0x26, 0x55, 0x08, 0x43, 0x99, 0x85, 0x2E, 0x00, 0x24, 0x9F, 0x8C, 0xB2, 0x47, 0x89, 0x6D, 0x39, 0x2B, 0x02, 0xD7, 0x3B, 0x7F, 0x0D, 0xD8, 0x18, 0xE1, 0xE2, 0x9B, 0x07 }, + { 0x42, 0xD4, 0x63, 0x6E, 0x20, 0x60, 0xF0, 0x8F, 0x41, 0xC8, 0x82, 0xE7, 0x6B, 0x39, 0x6B, 0x11, 0x2E, 0xF6, 0x27, 0xCC, 0x24, 0xC4, 0x3D, 0xD5, 0xF8, 0x3A, 0x1D, 0x1A, 0x7E, 0xAD, 0x71, 0x1A }, + { 0x48, 0x58, 0xC9, 0xA1, 0x88, 0xB0, 0x23, 0x4F, 0xB9, 0xA8, 0xD4, 0x7D, 0x0B, 0x41, 0x33, 0x65, 0x0A, 0x03, 0x0B, 0xD0, 0x61, 0x1B, 0x87, 0xC3, 0x89, 0x2E, 0x94, 0x95, 0x1F, 0x8D, 0xF8, 0x52 }, + { 0x3F, 0xAB, 0x3E, 0x36, 0x98, 0x8D, 0x44, 0x5A, 0x51, 0xC8, 0x78, 0x3E, 0x53, 0x1B, 0xE3, 0xA0, 0x2B, 0xE4, 0x0C, 0xD0, 0x47, 0x96, 0xCF, 0xB6, 0x1D, 0x40, 0x34, 0x74, 0x42, 0xD3, 0xF7, 0x94 }, + { 0xEB, 0xAB, 0xC4, 0x96, 0x36, 0xBD, 0x43, 0x3D, 0x2E, 0xC8, 0xF0, 0xE5, 0x18, 0x73, 0x2E, 0xF8, 0xFA, 0x21, 0xD4, 0xD0, 0x71, 0xCC, 0x3B, 0xC4, 0x6C, 0xD7, 0x9F, 0xA3, 0x8A, 0x28, 0xB8, 0x10 }, + { 0xA1, 0xD0, 0x34, 0x35, 0x23, 0xB8, 0x93, 0xFC, 0xA8, 0x4F, 0x47, 0xFE, 0xB4, 0xA6, 0x4D, 0x35, 0x0A, 0x17, 0xD8, 0xEE, 0xF5, 0x49, 0x7E, 0xCE, 0x69, 0x7D, 0x02, 0xD7, 0x91, 0x78, 0xB5, 0x91 }, + { 0x26, 0x2E, 0xBF, 0xD9, 0x13, 0x0B, 0x7D, 0x28, 0x76, 0x0D, 0x08, 0xEF, 0x8B, 0xFD, 0x3B, 0x86, 0xCD, 0xD3, 0xB2, 0x11, 0x3D, 0x2C, 0xAE, 0xF7, 0xEA, 0x95, 0x1A, 0x30, 0x3D, 0xFA, 0x38, 0x46 }, + { 0xF7, 0x61, 0x58, 0xED, 0xD5, 0x0A, 0x15, 0x4F, 0xA7, 0x82, 0x03, 0xED, 0x23, 0x62, 0x93, 0x2F, 0xCB, 0x82, 0x53, 0xAA, 0xE3, 0x78, 0x90, 0x3E, 0xDE, 0xD1, 0xE0, 0x3F, 0x70, 0x21, 0xA2, 0x57 }, + { 0x26, 0x17, 0x8E, 0x95, 0x0A, 0xC7, 0x22, 0xF6, 0x7A, 0xE5, 0x6E, 0x57, 0x1B, 0x28, 0x4C, 0x02, 0x07, 0x68, 0x4A, 0x63, 0x34, 0xA1, 0x77, 0x48, 0xA9, 0x4D, 0x26, 0x0B, 0xC5, 0xF5, 0x52, 0x74 }, + { 0xC3, 0x78, 0xD1, 0xE4, 0x93, 0xB4, 0x0E, 0xF1, 0x1F, 0xE6, 0xA1, 0x5D, 0x9C, 0x27, 0x37, 0xA3, 0x78, 0x09, 0x63, 0x4C, 0x5A, 0xBA, 0xD5, 0xB3, 0x3D, 0x7E, 0x39, 0x3B, 0x4A, 0xE0, 0x5D, 0x03 }, + { 0x98, 0x4B, 0xD8, 0x37, 0x91, 0x01, 0xBE, 0x8F, 0xD8, 0x06, 0x12, 0xD8, 0xEA, 0x29, 0x59, 0xA7, 0x86, 0x5E, 0xC9, 0x71, 0x85, 0x23, 0x55, 0x01, 0x07, 0xAE, 0x39, 0x38, 0xDF, 0x32, 0x01, 0x1B }, + { 0xC6, 0xF2, 0x5A, 0x81, 0x2A, 0x14, 0x48, 0x58, 0xAC, 0x5C, 0xED, 0x37, 0xA9, 0x3A, 0x9F, 0x47, 0x59, 0xBA, 0x0B, 0x1C, 0x0F, 0xDC, 0x43, 0x1D, 0xCE, 0x35, 0xF9, 0xEC, 0x1F, 0x1F, 0x4A, 0x99 }, + { 0x92, 0x4C, 0x75, 0xC9, 0x44, 0x24, 0xFF, 0x75, 0xE7, 0x4B, 0x8B, 0x4E, 0x94, 0x35, 0x89, 0x58, 0xB0, 0x27, 0xB1, 0x71, 0xDF, 0x5E, 0x57, 0x89, 0x9A, 0xD0, 0xD4, 0xDA, 0xC3, 0x73, 0x53, 0xB6 }, + { 0x0A, 0xF3, 0x58, 0x92, 0xA6, 0x3F, 0x45, 0x93, 0x1F, 0x68, 0x46, 0xED, 0x19, 0x03, 0x61, 0xCD, 0x07, 0x30, 0x89, 0xE0, 0x77, 0x16, 0x57, 0x14, 0xB5, 0x0B, 0x81, 0xA2, 0xE3, 0xDD, 0x9B, 0xA1 }, + { 0xCC, 0x80, 0xCE, 0xFB, 0x26, 0xC3, 0xB2, 0xB0, 0xDA, 0xEF, 0x23, 0x3E, 0x60, 0x6D, 0x5F, 0xFC, 0x80, 0xFA, 0x17, 0x42, 0x7D, 0x18, 0xE3, 0x04, 0x89, 0x67, 0x3E, 0x06, 0xEF, 0x4B, 0x87, 0xF7 }, + { 0xC2, 0xF8, 0xC8, 0x11, 0x74, 0x47, 0xF3, 0x97, 0x8B, 0x08, 0x18, 0xDC, 0xF6, 0xF7, 0x01, 0x16, 0xAC, 0x56, 0xFD, 0x18, 0x4D, 0xD1, 0x27, 0x84, 0x94, 0xE1, 0x03, 0xFC, 0x6D, 0x74, 0xA8, 0x87 }, + { 0xBD, 0xEC, 0xF6, 0xBF, 0xC1, 0xBA, 0x0D, 0xF6, 0xE8, 0x62, 0xC8, 0x31, 0x99, 0x22, 0x07, 0x79, 0x6A, 0xCC, 0x79, 0x79, 0x68, 0x35, 0x88, 0x28, 0xC0, 0x6E, 0x7A, 0x51, 0xE0, 0x90, 0x09, 0x8F }, + { 0x24, 0xD1, 0xA2, 0x6E, 0x3D, 0xAB, 0x02, 0xFE, 0x45, 0x72, 0xD2, 0xAA, 0x7D, 0xBD, 0x3E, 0xC3, 0x0F, 0x06, 0x93, 0xDB, 0x26, 0xF2, 0x73, 0xD0, 0xAB, 0x2C, 0xB0, 0xC1, 0x3B, 0x5E, 0x64, 0x51 }, + { 0xEC, 0x56, 0xF5, 0x8B, 0x09, 0x29, 0x9A, 0x30, 0x0B, 0x14, 0x05, 0x65, 0xD7, 0xD3, 0xE6, 0x87, 0x82, 0xB6, 0xE2, 0xFB, 0xEB, 0x4B, 0x7E, 0xA9, 0x7A, 0xC0, 0x57, 0x98, 0x90, 0x61, 0xDD, 0x3F }, + { 0x11, 0xA4, 0x37, 0xC1, 0xAB, 0xA3, 0xC1, 0x19, 0xDD, 0xFA, 0xB3, 0x1B, 0x3E, 0x8C, 0x84, 0x1D, 0xEE, 0xEB, 0x91, 0x3E, 0xF5, 0x7F, 0x7E, 0x48, 0xF2, 0xC9, 0xCF, 0x5A, 0x28, 0xFA, 0x42, 0xBC }, + { 0x53, 0xC7, 0xE6, 0x11, 0x4B, 0x85, 0x0A, 0x2C, 0xB4, 0x96, 0xC9, 0xB3, 0xC6, 0x9A, 0x62, 0x3E, 0xAE, 0xA2, 0xCB, 0x1D, 0x33, 0xDD, 0x81, 0x7E, 0x47, 0x65, 0xED, 0xAA, 0x68, 0x23, 0xC2, 0x28 }, + { 0x15, 0x4C, 0x3E, 0x96, 0xFE, 0xE5, 0xDB, 0x14, 0xF8, 0x77, 0x3E, 0x18, 0xAF, 0x14, 0x85, 0x79, 0x13, 0x50, 0x9D, 0xA9, 0x99, 0xB4, 0x6C, 0xDD, 0x3D, 0x4C, 0x16, 0x97, 0x60, 0xC8, 0x3A, 0xD2 }, + { 0x40, 0xB9, 0x91, 0x6F, 0x09, 0x3E, 0x02, 0x7A, 0x87, 0x86, 0x64, 0x18, 0x18, 0x92, 0x06, 0x20, 0x47, 0x2F, 0xBC, 0xF6, 0x8F, 0x70, 0x1D, 0x1B, 0x68, 0x06, 0x32, 0xE6, 0x99, 0x6B, 0xDE, 0xD3 }, + { 0x24, 0xC4, 0xCB, 0xBA, 0x07, 0x11, 0x98, 0x31, 0xA7, 0x26, 0xB0, 0x53, 0x05, 0xD9, 0x6D, 0xA0, 0x2F, 0xF8, 0xB1, 0x48, 0xF0, 0xDA, 0x44, 0x0F, 0xE2, 0x33, 0xBC, 0xAA, 0x32, 0xC7, 0x2F, 0x6F }, + { 0x5D, 0x20, 0x15, 0x10, 0x25, 0x00, 0x20, 0xB7, 0x83, 0x68, 0x96, 0x88, 0xAB, 0xBF, 0x8E, 0xCF, 0x25, 0x94, 0xA9, 0x6A, 0x08, 0xF2, 0xBF, 0xEC, 0x6C, 0xE0, 0x57, 0x44, 0x65, 0xDD, 0xED, 0x71 }, + { 0x04, 0x3B, 0x97, 0xE3, 0x36, 0xEE, 0x6F, 0xDB, 0xBE, 0x2B, 0x50, 0xF2, 0x2A, 0xF8, 0x32, 0x75, 0xA4, 0x08, 0x48, 0x05, 0xD2, 0xD5, 0x64, 0x59, 0x62, 0x45, 0x4B, 0x6C, 0x9B, 0x80, 0x53, 0xA0 }, + { 0x56, 0x48, 0x35, 0xCB, 0xAE, 0xA7, 0x74, 0x94, 0x85, 0x68, 0xBE, 0x36, 0xCF, 0x52, 0xFC, 0xDD, 0x83, 0x93, 0x4E, 0xB0, 0xA2, 0x75, 0x12, 0xDB, 0xE3, 0xE2, 0xDB, 0x47, 0xB9, 0xE6, 0x63, 0x5A }, + { 0xF2, 0x1C, 0x33, 0xF4, 0x7B, 0xDE, 0x40, 0xA2, 0xA1, 0x01, 0xC9, 0xCD, 0xE8, 0x02, 0x7A, 0xAF, 0x61, 0xA3, 0x13, 0x7D, 0xE2, 0x42, 0x2B, 0x30, 0x03, 0x5A, 0x04, 0xC2, 0x70, 0x89, 0x41, 0x83 }, + { 0x9D, 0xB0, 0xEF, 0x74, 0xE6, 0x6C, 0xBB, 0x84, 0x2E, 0xB0, 0xE0, 0x73, 0x43, 0xA0, 0x3C, 0x5C, 0x56, 0x7E, 0x37, 0x2B, 0x3F, 0x23, 0xB9, 0x43, 0xC7, 0x88, 0xA4, 0xF2, 0x50, 0xF6, 0x78, 0x91 }, + { 0xAB, 0x8D, 0x08, 0x65, 0x5F, 0xF1, 0xD3, 0xFE, 0x87, 0x58, 0xD5, 0x62, 0x23, 0x5F, 0xD2, 0x3E, 0x7C, 0xF9, 0xDC, 0xAA, 0xD6, 0x58, 0x87, 0x2A, 0x49, 0xE5, 0xD3, 0x18, 0x3B, 0x6C, 0xCE, 0xBD }, + { 0x6F, 0x27, 0xF7, 0x7E, 0x7B, 0xCF, 0x46, 0xA1, 0xE9, 0x63, 0xAD, 0xE0, 0x30, 0x97, 0x33, 0x54, 0x30, 0x31, 0xDC, 0xCD, 0xD4, 0x7C, 0xAA, 0xC1, 0x74, 0xD7, 0xD2, 0x7C, 0xE8, 0x07, 0x7E, 0x8B }, + { 0xE3, 0xCD, 0x54, 0xDA, 0x7E, 0x44, 0x4C, 0xAA, 0x62, 0x07, 0x56, 0x95, 0x25, 0xA6, 0x70, 0xEB, 0xAE, 0x12, 0x78, 0xDE, 0x4E, 0x3F, 0xE2, 0x68, 0x4B, 0x3E, 0x33, 0xF5, 0xEF, 0x90, 0xCC, 0x1B }, + { 0xB2, 0xC3, 0xE3, 0x3A, 0x51, 0xD2, 0x2C, 0x4C, 0x08, 0xFC, 0x09, 0x89, 0xC8, 0x73, 0xC9, 0xCC, 0x41, 0x50, 0x57, 0x9B, 0x1E, 0x61, 0x63, 0xFA, 0x69, 0x4A, 0xD5, 0x1D, 0x53, 0xD7, 0x12, 0xDC }, + { 0xBE, 0x7F, 0xDA, 0x98, 0x3E, 0x13, 0x18, 0x9B, 0x4C, 0x77, 0xE0, 0xA8, 0x09, 0x20, 0xB6, 0xE0, 0xE0, 0xEA, 0x80, 0xC3, 0xB8, 0x4D, 0xBE, 0x7E, 0x71, 0x17, 0xD2, 0x53, 0xF4, 0x81, 0x12, 0xF4 }, + { 0xB6, 0x00, 0x8C, 0x28, 0xFA, 0xE0, 0x8A, 0xA4, 0x27, 0xE5, 0xBD, 0x3A, 0xAD, 0x36, 0xF1, 0x00, 0x21, 0xF1, 0x6C, 0x77, 0xCF, 0xEA, 0xBE, 0xD0, 0x7F, 0x97, 0xCC, 0x7D, 0xC1, 0xF1, 0x28, 0x4A }, + { 0x6E, 0x4E, 0x67, 0x60, 0xC5, 0x38, 0xF2, 0xE9, 0x7B, 0x3A, 0xDB, 0xFB, 0xBC, 0xDE, 0x57, 0xF8, 0x96, 0x6B, 0x7E, 0xA8, 0xFC, 0xB5, 0xBF, 0x7E, 0xFE, 0xC9, 0x13, 0xFD, 0x2A, 0x2B, 0x0C, 0x55 }, + { 0x4A, 0xE5, 0x1F, 0xD1, 0x83, 0x4A, 0xA5, 0xBD, 0x9A, 0x6F, 0x7E, 0xC3, 0x9F, 0xC6, 0x63, 0x33, 0x8D, 0xC5, 0xD2, 0xE2, 0x07, 0x61, 0x56, 0x6D, 0x90, 0xCC, 0x68, 0xB1, 0xCB, 0x87, 0x5E, 0xD8 }, + { 0xB6, 0x73, 0xAA, 0xD7, 0x5A, 0xB1, 0xFD, 0xB5, 0x40, 0x1A, 0xBF, 0xA1, 0xBF, 0x89, 0xF3, 0xAD, 0xD2, 0xEB, 0xC4, 0x68, 0xDF, 0x36, 0x24, 0xA4, 0x78, 0xF4, 0xFE, 0x85, 0x9D, 0x8D, 0x55, 0xE2 }, + { 0x13, 0xC9, 0x47, 0x1A, 0x98, 0x55, 0x91, 0x35, 0x39, 0x83, 0x66, 0x60, 0x39, 0x8D, 0xA0, 0xF3, 0xF9, 0x9A, 0xDA, 0x08, 0x47, 0x9C, 0x69, 0xD1, 0xB7, 0xFC, 0xAA, 0x34, 0x61, 0xDD, 0x7E, 0x59 }, + { 0x2C, 0x11, 0xF4, 0xA7, 0xF9, 0x9A, 0x1D, 0x23, 0xA5, 0x8B, 0xB6, 0x36, 0x35, 0x0F, 0xE8, 0x49, 0xF2, 0x9C, 0xBA, 0xC1, 0xB2, 0xA1, 0x11, 0x2D, 0x9F, 0x1E, 0xD5, 0xBC, 0x5B, 0x31, 0x3C, 0xCD }, + { 0xC7, 0xD3, 0xC0, 0x70, 0x6B, 0x11, 0xAE, 0x74, 0x1C, 0x05, 0xA1, 0xEF, 0x15, 0x0D, 0xD6, 0x5B, 0x54, 0x94, 0xD6, 0xD5, 0x4C, 0x9A, 0x86, 0xE2, 0x61, 0x78, 0x54, 0xE6, 0xAE, 0xEE, 0xBB, 0xD9 }, + { 0x19, 0x4E, 0x10, 0xC9, 0x38, 0x93, 0xAF, 0xA0, 0x64, 0xC3, 0xAC, 0x04, 0xC0, 0xDD, 0x80, 0x8D, 0x79, 0x1C, 0x3D, 0x4B, 0x75, 0x56, 0xE8, 0x9D, 0x8D, 0x9C, 0xB2, 0x25, 0xC4, 0xB3, 0x33, 0x39 }, + { 0x6F, 0xC4, 0x98, 0x8B, 0x8F, 0x78, 0x54, 0x6B, 0x16, 0x88, 0x99, 0x18, 0x45, 0x90, 0x8F, 0x13, 0x4B, 0x6A, 0x48, 0x2E, 0x69, 0x94, 0xB3, 0xD4, 0x83, 0x17, 0xBF, 0x08, 0xDB, 0x29, 0x21, 0x85 }, + { 0x56, 0x65, 0xBE, 0xB8, 0xB0, 0x95, 0x55, 0x25, 0x81, 0x3B, 0x59, 0x81, 0xCD, 0x14, 0x2E, 0xD4, 0xD0, 0x3F, 0xBA, 0x38, 0xA6, 0xF3, 0xE5, 0xAD, 0x26, 0x8E, 0x0C, 0xC2, 0x70, 0xD1, 0xCD, 0x11 }, + { 0xB8, 0x83, 0xD6, 0x8F, 0x5F, 0xE5, 0x19, 0x36, 0x43, 0x1B, 0xA4, 0x25, 0x67, 0x38, 0x05, 0x3B, 0x1D, 0x04, 0x26, 0xD4, 0xCB, 0x64, 0xB1, 0x6E, 0x83, 0xBA, 0xDC, 0x5E, 0x9F, 0xBE, 0x3B, 0x81 }, + { 0x53, 0xE7, 0xB2, 0x7E, 0xA5, 0x9C, 0x2F, 0x6D, 0xBB, 0x50, 0x76, 0x9E, 0x43, 0x55, 0x4D, 0xF3, 0x5A, 0xF8, 0x9F, 0x48, 0x22, 0xD0, 0x46, 0x6B, 0x00, 0x7D, 0xD6, 0xF6, 0xDE, 0xAF, 0xFF, 0x02 }, + { 0x1F, 0x1A, 0x02, 0x29, 0xD4, 0x64, 0x0F, 0x01, 0x90, 0x15, 0x88, 0xD9, 0xDE, 0xC2, 0x2D, 0x13, 0xFC, 0x3E, 0xB3, 0x4A, 0x61, 0xB3, 0x29, 0x38, 0xEF, 0xBF, 0x53, 0x34, 0xB2, 0x80, 0x0A, 0xFA }, + { 0xC2, 0xB4, 0x05, 0xAF, 0xA0, 0xFA, 0x66, 0x68, 0x85, 0x2A, 0xEE, 0x4D, 0x88, 0x04, 0x08, 0x53, 0xFA, 0xB8, 0x00, 0xE7, 0x2B, 0x57, 0x58, 0x14, 0x18, 0xE5, 0x50, 0x6F, 0x21, 0x4C, 0x7D, 0x1F }, + { 0xC0, 0x8A, 0xA1, 0xC2, 0x86, 0xD7, 0x09, 0xFD, 0xC7, 0x47, 0x37, 0x44, 0x97, 0x71, 0x88, 0xC8, 0x95, 0xBA, 0x01, 0x10, 0x14, 0x24, 0x7E, 0x4E, 0xFA, 0x8D, 0x07, 0xE7, 0x8F, 0xEC, 0x69, 0x5C }, + { 0xF0, 0x3F, 0x57, 0x89, 0xD3, 0x33, 0x6B, 0x80, 0xD0, 0x02, 0xD5, 0x9F, 0xDF, 0x91, 0x8B, 0xDB, 0x77, 0x5B, 0x00, 0x95, 0x6E, 0xD5, 0x52, 0x8E, 0x86, 0xAA, 0x99, 0x4A, 0xCB, 0x38, 0xFE, 0x2D } +}; + +static const uint8_t blake2s_keyed_testvecs[][BLAKE2S_OUTBYTES] = { + { 0x48, 0xA8, 0x99, 0x7D, 0xA4, 0x07, 0x87, 0x6B, 0x3D, 0x79, 0xC0, 0xD9, 0x23, 0x25, 0xAD, 0x3B, 0x89, 0xCB, 0xB7, 0x54, 0xD8, 0x6A, 0xB7, 0x1A, 0xEE, 0x04, 0x7A, 0xD3, 0x45, 0xFD, 0x2C, 0x49 }, + { 0x40, 0xD1, 0x5F, 0xEE, 0x7C, 0x32, 0x88, 0x30, 0x16, 0x6A, 0xC3, 0xF9, 0x18, 0x65, 0x0F, 0x80, 0x7E, 0x7E, 0x01, 0xE1, 0x77, 0x25, 0x8C, 0xDC, 0x0A, 0x39, 0xB1, 0x1F, 0x59, 0x80, 0x66, 0xF1 }, + { 0x6B, 0xB7, 0x13, 0x00, 0x64, 0x4C, 0xD3, 0x99, 0x1B, 0x26, 0xCC, 0xD4, 0xD2, 0x74, 0xAC, 0xD1, 0xAD, 0xEA, 0xB8, 0xB1, 0xD7, 0x91, 0x45, 0x46, 0xC1, 0x19, 0x8B, 0xBE, 0x9F, 0xC9, 0xD8, 0x03 }, + { 0x1D, 0x22, 0x0D, 0xBE, 0x2E, 0xE1, 0x34, 0x66, 0x1F, 0xDF, 0x6D, 0x9E, 0x74, 0xB4, 0x17, 0x04, 0x71, 0x05, 0x56, 0xF2, 0xF6, 0xE5, 0xA0, 0x91, 0xB2, 0x27, 0x69, 0x74, 0x45, 0xDB, 0xEA, 0x6B }, + { 0xF6, 0xC3, 0xFB, 0xAD, 0xB4, 0xCC, 0x68, 0x7A, 0x00, 0x64, 0xA5, 0xBE, 0x6E, 0x79, 0x1B, 0xEC, 0x63, 0xB8, 0x68, 0xAD, 0x62, 0xFB, 0xA6, 0x1B, 0x37, 0x57, 0xEF, 0x9C, 0xA5, 0x2E, 0x05, 0xB2 }, + { 0x49, 0xC1, 0xF2, 0x11, 0x88, 0xDF, 0xD7, 0x69, 0xAE, 0xA0, 0xE9, 0x11, 0xDD, 0x6B, 0x41, 0xF1, 0x4D, 0xAB, 0x10, 0x9D, 0x2B, 0x85, 0x97, 0x7A, 0xA3, 0x08, 0x8B, 0x5C, 0x70, 0x7E, 0x85, 0x98 }, + { 0xFD, 0xD8, 0x99, 0x3D, 0xCD, 0x43, 0xF6, 0x96, 0xD4, 0x4F, 0x3C, 0xEA, 0x0F, 0xF3, 0x53, 0x45, 0x23, 0x4E, 0xC8, 0xEE, 0x08, 0x3E, 0xB3, 0xCA, 0xDA, 0x01, 0x7C, 0x7F, 0x78, 0xC1, 0x71, 0x43 }, + { 0xE6, 0xC8, 0x12, 0x56, 0x37, 0x43, 0x8D, 0x09, 0x05, 0xB7, 0x49, 0xF4, 0x65, 0x60, 0xAC, 0x89, 0xFD, 0x47, 0x1C, 0xF8, 0x69, 0x2E, 0x28, 0xFA, 0xB9, 0x82, 0xF7, 0x3F, 0x01, 0x9B, 0x83, 0xA9 }, + { 0x19, 0xFC, 0x8C, 0xA6, 0x97, 0x9D, 0x60, 0xE6, 0xED, 0xD3, 0xB4, 0x54, 0x1E, 0x2F, 0x96, 0x7C, 0xED, 0x74, 0x0D, 0xF6, 0xEC, 0x1E, 0xAE, 0xBB, 0xFE, 0x81, 0x38, 0x32, 0xE9, 0x6B, 0x29, 0x74 }, + { 0xA6, 0xAD, 0x77, 0x7C, 0xE8, 0x81, 0xB5, 0x2B, 0xB5, 0xA4, 0x42, 0x1A, 0xB6, 0xCD, 0xD2, 0xDF, 0xBA, 0x13, 0xE9, 0x63, 0x65, 0x2D, 0x4D, 0x6D, 0x12, 0x2A, 0xEE, 0x46, 0x54, 0x8C, 0x14, 0xA7 }, + { 0xF5, 0xC4, 0xB2, 0xBA, 0x1A, 0x00, 0x78, 0x1B, 0x13, 0xAB, 0xA0, 0x42, 0x52, 0x42, 0xC6, 0x9C, 0xB1, 0x55, 0x2F, 0x3F, 0x71, 0xA9, 0xA3, 0xBB, 0x22, 0xB4, 0xA6, 0xB4, 0x27, 0x7B, 0x46, 0xDD }, + { 0xE3, 0x3C, 0x4C, 0x9B, 0xD0, 0xCC, 0x7E, 0x45, 0xC8, 0x0E, 0x65, 0xC7, 0x7F, 0xA5, 0x99, 0x7F, 0xEC, 0x70, 0x02, 0x73, 0x85, 0x41, 0x50, 0x9E, 0x68, 0xA9, 0x42, 0x38, 0x91, 0xE8, 0x22, 0xA3 }, + { 0xFB, 0xA1, 0x61, 0x69, 0xB2, 0xC3, 0xEE, 0x10, 0x5B, 0xE6, 0xE1, 0xE6, 0x50, 0xE5, 0xCB, 0xF4, 0x07, 0x46, 0xB6, 0x75, 0x3D, 0x03, 0x6A, 0xB5, 0x51, 0x79, 0x01, 0x4A, 0xD7, 0xEF, 0x66, 0x51 }, + { 0xF5, 0xC4, 0xBE, 0xC6, 0xD6, 0x2F, 0xC6, 0x08, 0xBF, 0x41, 0xCC, 0x11, 0x5F, 0x16, 0xD6, 0x1C, 0x7E, 0xFD, 0x3F, 0xF6, 0xC6, 0x56, 0x92, 0xBB, 0xE0, 0xAF, 0xFF, 0xB1, 0xFE, 0xDE, 0x74, 0x75 }, + { 0xA4, 0x86, 0x2E, 0x76, 0xDB, 0x84, 0x7F, 0x05, 0xBA, 0x17, 0xED, 0xE5, 0xDA, 0x4E, 0x7F, 0x91, 0xB5, 0x92, 0x5C, 0xF1, 0xAD, 0x4B, 0xA1, 0x27, 0x32, 0xC3, 0x99, 0x57, 0x42, 0xA5, 0xCD, 0x6E }, + { 0x65, 0xF4, 0xB8, 0x60, 0xCD, 0x15, 0xB3, 0x8E, 0xF8, 0x14, 0xA1, 0xA8, 0x04, 0x31, 0x4A, 0x55, 0xBE, 0x95, 0x3C, 0xAA, 0x65, 0xFD, 0x75, 0x8A, 0xD9, 0x89, 0xFF, 0x34, 0xA4, 0x1C, 0x1E, 0xEA }, + { 0x19, 0xBA, 0x23, 0x4F, 0x0A, 0x4F, 0x38, 0x63, 0x7D, 0x18, 0x39, 0xF9, 0xD9, 0xF7, 0x6A, 0xD9, 0x1C, 0x85, 0x22, 0x30, 0x71, 0x43, 0xC9, 0x7D, 0x5F, 0x93, 0xF6, 0x92, 0x74, 0xCE, 0xC9, 0xA7 }, + { 0x1A, 0x67, 0x18, 0x6C, 0xA4, 0xA5, 0xCB, 0x8E, 0x65, 0xFC, 0xA0, 0xE2, 0xEC, 0xBC, 0x5D, 0xDC, 0x14, 0xAE, 0x38, 0x1B, 0xB8, 0xBF, 0xFE, 0xB9, 0xE0, 0xA1, 0x03, 0x44, 0x9E, 0x3E, 0xF0, 0x3C }, + { 0xAF, 0xBE, 0xA3, 0x17, 0xB5, 0xA2, 0xE8, 0x9C, 0x0B, 0xD9, 0x0C, 0xCF, 0x5D, 0x7F, 0xD0, 0xED, 0x57, 0xFE, 0x58, 0x5E, 0x4B, 0xE3, 0x27, 0x1B, 0x0A, 0x6B, 0xF0, 0xF5, 0x78, 0x6B, 0x0F, 0x26 }, + { 0xF1, 0xB0, 0x15, 0x58, 0xCE, 0x54, 0x12, 0x62, 0xF5, 0xEC, 0x34, 0x29, 0x9D, 0x6F, 0xB4, 0x09, 0x00, 0x09, 0xE3, 0x43, 0x4B, 0xE2, 0xF4, 0x91, 0x05, 0xCF, 0x46, 0xAF, 0x4D, 0x2D, 0x41, 0x24 }, + { 0x13, 0xA0, 0xA0, 0xC8, 0x63, 0x35, 0x63, 0x5E, 0xAA, 0x74, 0xCA, 0x2D, 0x5D, 0x48, 0x8C, 0x79, 0x7B, 0xBB, 0x4F, 0x47, 0xDC, 0x07, 0x10, 0x50, 0x15, 0xED, 0x6A, 0x1F, 0x33, 0x09, 0xEF, 0xCE }, + { 0x15, 0x80, 0xAF, 0xEE, 0xBE, 0xBB, 0x34, 0x6F, 0x94, 0xD5, 0x9F, 0xE6, 0x2D, 0xA0, 0xB7, 0x92, 0x37, 0xEA, 0xD7, 0xB1, 0x49, 0x1F, 0x56, 0x67, 0xA9, 0x0E, 0x45, 0xED, 0xF6, 0xCA, 0x8B, 0x03 }, + { 0x20, 0xBE, 0x1A, 0x87, 0x5B, 0x38, 0xC5, 0x73, 0xDD, 0x7F, 0xAA, 0xA0, 0xDE, 0x48, 0x9D, 0x65, 0x5C, 0x11, 0xEF, 0xB6, 0xA5, 0x52, 0x69, 0x8E, 0x07, 0xA2, 0xD3, 0x31, 0xB5, 0xF6, 0x55, 0xC3 }, + { 0xBE, 0x1F, 0xE3, 0xC4, 0xC0, 0x40, 0x18, 0xC5, 0x4C, 0x4A, 0x0F, 0x6B, 0x9A, 0x2E, 0xD3, 0xC5, 0x3A, 0xBE, 0x3A, 0x9F, 0x76, 0xB4, 0xD2, 0x6D, 0xE5, 0x6F, 0xC9, 0xAE, 0x95, 0x05, 0x9A, 0x99 }, + { 0xE3, 0xE3, 0xAC, 0xE5, 0x37, 0xEB, 0x3E, 0xDD, 0x84, 0x63, 0xD9, 0xAD, 0x35, 0x82, 0xE1, 0x3C, 0xF8, 0x65, 0x33, 0xFF, 0xDE, 0x43, 0xD6, 0x68, 0xDD, 0x2E, 0x93, 0xBB, 0xDB, 0xD7, 0x19, 0x5A }, + { 0x11, 0x0C, 0x50, 0xC0, 0xBF, 0x2C, 0x6E, 0x7A, 0xEB, 0x7E, 0x43, 0x5D, 0x92, 0xD1, 0x32, 0xAB, 0x66, 0x55, 0x16, 0x8E, 0x78, 0xA2, 0xDE, 0xCD, 0xEC, 0x33, 0x30, 0x77, 0x76, 0x84, 0xD9, 0xC1 }, + { 0xE9, 0xBA, 0x8F, 0x50, 0x5C, 0x9C, 0x80, 0xC0, 0x86, 0x66, 0xA7, 0x01, 0xF3, 0x36, 0x7E, 0x6C, 0xC6, 0x65, 0xF3, 0x4B, 0x22, 0xE7, 0x3C, 0x3C, 0x04, 0x17, 0xEB, 0x1C, 0x22, 0x06, 0x08, 0x2F }, + { 0x26, 0xCD, 0x66, 0xFC, 0xA0, 0x23, 0x79, 0xC7, 0x6D, 0xF1, 0x23, 0x17, 0x05, 0x2B, 0xCA, 0xFD, 0x6C, 0xD8, 0xC3, 0xA7, 0xB8, 0x90, 0xD8, 0x05, 0xF3, 0x6C, 0x49, 0x98, 0x97, 0x82, 0x43, 0x3A }, + { 0x21, 0x3F, 0x35, 0x96, 0xD6, 0xE3, 0xA5, 0xD0, 0xE9, 0x93, 0x2C, 0xD2, 0x15, 0x91, 0x46, 0x01, 0x5E, 0x2A, 0xBC, 0x94, 0x9F, 0x47, 0x29, 0xEE, 0x26, 0x32, 0xFE, 0x1E, 0xDB, 0x78, 0xD3, 0x37 }, + { 0x10, 0x15, 0xD7, 0x01, 0x08, 0xE0, 0x3B, 0xE1, 0xC7, 0x02, 0xFE, 0x97, 0x25, 0x36, 0x07, 0xD1, 0x4A, 0xEE, 0x59, 0x1F, 0x24, 0x13, 0xEA, 0x67, 0x87, 0x42, 0x7B, 0x64, 0x59, 0xFF, 0x21, 0x9A }, + { 0x3C, 0xA9, 0x89, 0xDE, 0x10, 0xCF, 0xE6, 0x09, 0x90, 0x94, 0x72, 0xC8, 0xD3, 0x56, 0x10, 0x80, 0x5B, 0x2F, 0x97, 0x77, 0x34, 0xCF, 0x65, 0x2C, 0xC6, 0x4B, 0x3B, 0xFC, 0x88, 0x2D, 0x5D, 0x89 }, + { 0xB6, 0x15, 0x6F, 0x72, 0xD3, 0x80, 0xEE, 0x9E, 0xA6, 0xAC, 0xD1, 0x90, 0x46, 0x4F, 0x23, 0x07, 0xA5, 0xC1, 0x79, 0xEF, 0x01, 0xFD, 0x71, 0xF9, 0x9F, 0x2D, 0x0F, 0x7A, 0x57, 0x36, 0x0A, 0xEA }, + { 0xC0, 0x3B, 0xC6, 0x42, 0xB2, 0x09, 0x59, 0xCB, 0xE1, 0x33, 0xA0, 0x30, 0x3E, 0x0C, 0x1A, 0xBF, 0xF3, 0xE3, 0x1E, 0xC8, 0xE1, 0xA3, 0x28, 0xEC, 0x85, 0x65, 0xC3, 0x6D, 0xEC, 0xFF, 0x52, 0x65 }, + { 0x2C, 0x3E, 0x08, 0x17, 0x6F, 0x76, 0x0C, 0x62, 0x64, 0xC3, 0xA2, 0xCD, 0x66, 0xFE, 0xC6, 0xC3, 0xD7, 0x8D, 0xE4, 0x3F, 0xC1, 0x92, 0x45, 0x7B, 0x2A, 0x4A, 0x66, 0x0A, 0x1E, 0x0E, 0xB2, 0x2B }, + { 0xF7, 0x38, 0xC0, 0x2F, 0x3C, 0x1B, 0x19, 0x0C, 0x51, 0x2B, 0x1A, 0x32, 0xDE, 0xAB, 0xF3, 0x53, 0x72, 0x8E, 0x0E, 0x9A, 0xB0, 0x34, 0x49, 0x0E, 0x3C, 0x34, 0x09, 0x94, 0x6A, 0x97, 0xAE, 0xEC }, + { 0x8B, 0x18, 0x80, 0xDF, 0x30, 0x1C, 0xC9, 0x63, 0x41, 0x88, 0x11, 0x08, 0x89, 0x64, 0x83, 0x92, 0x87, 0xFF, 0x7F, 0xE3, 0x1C, 0x49, 0xEA, 0x6E, 0xBD, 0x9E, 0x48, 0xBD, 0xEE, 0xE4, 0x97, 0xC5 }, + { 0x1E, 0x75, 0xCB, 0x21, 0xC6, 0x09, 0x89, 0x02, 0x03, 0x75, 0xF1, 0xA7, 0xA2, 0x42, 0x83, 0x9F, 0x0B, 0x0B, 0x68, 0x97, 0x3A, 0x4C, 0x2A, 0x05, 0xCF, 0x75, 0x55, 0xED, 0x5A, 0xAE, 0xC4, 0xC1 }, + { 0x62, 0xBF, 0x8A, 0x9C, 0x32, 0xA5, 0xBC, 0xCF, 0x29, 0x0B, 0x6C, 0x47, 0x4D, 0x75, 0xB2, 0xA2, 0xA4, 0x09, 0x3F, 0x1A, 0x9E, 0x27, 0x13, 0x94, 0x33, 0xA8, 0xF2, 0xB3, 0xBC, 0xE7, 0xB8, 0xD7 }, + { 0x16, 0x6C, 0x83, 0x50, 0xD3, 0x17, 0x3B, 0x5E, 0x70, 0x2B, 0x78, 0x3D, 0xFD, 0x33, 0xC6, 0x6E, 0xE0, 0x43, 0x27, 0x42, 0xE9, 0xB9, 0x2B, 0x99, 0x7F, 0xD2, 0x3C, 0x60, 0xDC, 0x67, 0x56, 0xCA }, + { 0x04, 0x4A, 0x14, 0xD8, 0x22, 0xA9, 0x0C, 0xAC, 0xF2, 0xF5, 0xA1, 0x01, 0x42, 0x8A, 0xDC, 0x8F, 0x41, 0x09, 0x38, 0x6C, 0xCB, 0x15, 0x8B, 0xF9, 0x05, 0xC8, 0x61, 0x8B, 0x8E, 0xE2, 0x4E, 0xC3 }, + { 0x38, 0x7D, 0x39, 0x7E, 0xA4, 0x3A, 0x99, 0x4B, 0xE8, 0x4D, 0x2D, 0x54, 0x4A, 0xFB, 0xE4, 0x81, 0xA2, 0x00, 0x0F, 0x55, 0x25, 0x26, 0x96, 0xBB, 0xA2, 0xC5, 0x0C, 0x8E, 0xBD, 0x10, 0x13, 0x47 }, + { 0x56, 0xF8, 0xCC, 0xF1, 0xF8, 0x64, 0x09, 0xB4, 0x6C, 0xE3, 0x61, 0x66, 0xAE, 0x91, 0x65, 0x13, 0x84, 0x41, 0x57, 0x75, 0x89, 0xDB, 0x08, 0xCB, 0xC5, 0xF6, 0x6C, 0xA2, 0x97, 0x43, 0xB9, 0xFD }, + { 0x97, 0x06, 0xC0, 0x92, 0xB0, 0x4D, 0x91, 0xF5, 0x3D, 0xFF, 0x91, 0xFA, 0x37, 0xB7, 0x49, 0x3D, 0x28, 0xB5, 0x76, 0xB5, 0xD7, 0x10, 0x46, 0x9D, 0xF7, 0x94, 0x01, 0x66, 0x22, 0x36, 0xFC, 0x03 }, + { 0x87, 0x79, 0x68, 0x68, 0x6C, 0x06, 0x8C, 0xE2, 0xF7, 0xE2, 0xAD, 0xCF, 0xF6, 0x8B, 0xF8, 0x74, 0x8E, 0xDF, 0x3C, 0xF8, 0x62, 0xCF, 0xB4, 0xD3, 0x94, 0x7A, 0x31, 0x06, 0x95, 0x80, 0x54, 0xE3 }, + { 0x88, 0x17, 0xE5, 0x71, 0x98, 0x79, 0xAC, 0xF7, 0x02, 0x47, 0x87, 0xEC, 0xCD, 0xB2, 0x71, 0x03, 0x55, 0x66, 0xCF, 0xA3, 0x33, 0xE0, 0x49, 0x40, 0x7C, 0x01, 0x78, 0xCC, 0xC5, 0x7A, 0x5B, 0x9F }, + { 0x89, 0x38, 0x24, 0x9E, 0x4B, 0x50, 0xCA, 0xDA, 0xCC, 0xDF, 0x5B, 0x18, 0x62, 0x13, 0x26, 0xCB, 0xB1, 0x52, 0x53, 0xE3, 0x3A, 0x20, 0xF5, 0x63, 0x6E, 0x99, 0x5D, 0x72, 0x47, 0x8D, 0xE4, 0x72 }, + { 0xF1, 0x64, 0xAB, 0xBA, 0x49, 0x63, 0xA4, 0x4D, 0x10, 0x72, 0x57, 0xE3, 0x23, 0x2D, 0x90, 0xAC, 0xA5, 0xE6, 0x6A, 0x14, 0x08, 0x24, 0x8C, 0x51, 0x74, 0x1E, 0x99, 0x1D, 0xB5, 0x22, 0x77, 0x56 }, + { 0xD0, 0x55, 0x63, 0xE2, 0xB1, 0xCB, 0xA0, 0xC4, 0xA2, 0xA1, 0xE8, 0xBD, 0xE3, 0xA1, 0xA0, 0xD9, 0xF5, 0xB4, 0x0C, 0x85, 0xA0, 0x70, 0xD6, 0xF5, 0xFB, 0x21, 0x06, 0x6E, 0xAD, 0x5D, 0x06, 0x01 }, + { 0x03, 0xFB, 0xB1, 0x63, 0x84, 0xF0, 0xA3, 0x86, 0x6F, 0x4C, 0x31, 0x17, 0x87, 0x76, 0x66, 0xEF, 0xBF, 0x12, 0x45, 0x97, 0x56, 0x4B, 0x29, 0x3D, 0x4A, 0xAB, 0x0D, 0x26, 0x9F, 0xAB, 0xDD, 0xFA }, + { 0x5F, 0xA8, 0x48, 0x6A, 0xC0, 0xE5, 0x29, 0x64, 0xD1, 0x88, 0x1B, 0xBE, 0x33, 0x8E, 0xB5, 0x4B, 0xE2, 0xF7, 0x19, 0x54, 0x92, 0x24, 0x89, 0x20, 0x57, 0xB4, 0xDA, 0x04, 0xBA, 0x8B, 0x34, 0x75 }, + { 0xCD, 0xFA, 0xBC, 0xEE, 0x46, 0x91, 0x11, 0x11, 0x23, 0x6A, 0x31, 0x70, 0x8B, 0x25, 0x39, 0xD7, 0x1F, 0xC2, 0x11, 0xD9, 0xB0, 0x9C, 0x0D, 0x85, 0x30, 0xA1, 0x1E, 0x1D, 0xBF, 0x6E, 0xED, 0x01 }, + { 0x4F, 0x82, 0xDE, 0x03, 0xB9, 0x50, 0x47, 0x93, 0xB8, 0x2A, 0x07, 0xA0, 0xBD, 0xCD, 0xFF, 0x31, 0x4D, 0x75, 0x9E, 0x7B, 0x62, 0xD2, 0x6B, 0x78, 0x49, 0x46, 0xB0, 0xD3, 0x6F, 0x91, 0x6F, 0x52 }, + { 0x25, 0x9E, 0xC7, 0xF1, 0x73, 0xBC, 0xC7, 0x6A, 0x09, 0x94, 0xC9, 0x67, 0xB4, 0xF5, 0xF0, 0x24, 0xC5, 0x60, 0x57, 0xFB, 0x79, 0xC9, 0x65, 0xC4, 0xFA, 0xE4, 0x18, 0x75, 0xF0, 0x6A, 0x0E, 0x4C }, + { 0x19, 0x3C, 0xC8, 0xE7, 0xC3, 0xE0, 0x8B, 0xB3, 0x0F, 0x54, 0x37, 0xAA, 0x27, 0xAD, 0xE1, 0xF1, 0x42, 0x36, 0x9B, 0x24, 0x6A, 0x67, 0x5B, 0x23, 0x83, 0xE6, 0xDA, 0x9B, 0x49, 0xA9, 0x80, 0x9E }, + { 0x5C, 0x10, 0x89, 0x6F, 0x0E, 0x28, 0x56, 0xB2, 0xA2, 0xEE, 0xE0, 0xFE, 0x4A, 0x2C, 0x16, 0x33, 0x56, 0x5D, 0x18, 0xF0, 0xE9, 0x3E, 0x1F, 0xAB, 0x26, 0xC3, 0x73, 0xE8, 0xF8, 0x29, 0x65, 0x4D }, + { 0xF1, 0x60, 0x12, 0xD9, 0x3F, 0x28, 0x85, 0x1A, 0x1E, 0xB9, 0x89, 0xF5, 0xD0, 0xB4, 0x3F, 0x3F, 0x39, 0xCA, 0x73, 0xC9, 0xA6, 0x2D, 0x51, 0x81, 0xBF, 0xF2, 0x37, 0x53, 0x6B, 0xD3, 0x48, 0xC3 }, + { 0x29, 0x66, 0xB3, 0xCF, 0xAE, 0x1E, 0x44, 0xEA, 0x99, 0x6D, 0xC5, 0xD6, 0x86, 0xCF, 0x25, 0xFA, 0x05, 0x3F, 0xB6, 0xF6, 0x72, 0x01, 0xB9, 0xE4, 0x6E, 0xAD, 0xE8, 0x5D, 0x0A, 0xD6, 0xB8, 0x06 }, + { 0xDD, 0xB8, 0x78, 0x24, 0x85, 0xE9, 0x00, 0xBC, 0x60, 0xBC, 0xF4, 0xC3, 0x3A, 0x6F, 0xD5, 0x85, 0x68, 0x0C, 0xC6, 0x83, 0xD5, 0x16, 0xEF, 0xA0, 0x3E, 0xB9, 0x98, 0x5F, 0xAD, 0x87, 0x15, 0xFB }, + { 0x4C, 0x4D, 0x6E, 0x71, 0xAE, 0xA0, 0x57, 0x86, 0x41, 0x31, 0x48, 0xFC, 0x7A, 0x78, 0x6B, 0x0E, 0xCA, 0xF5, 0x82, 0xCF, 0xF1, 0x20, 0x9F, 0x5A, 0x80, 0x9F, 0xBA, 0x85, 0x04, 0xCE, 0x66, 0x2C }, + { 0xFB, 0x4C, 0x5E, 0x86, 0xD7, 0xB2, 0x22, 0x9B, 0x99, 0xB8, 0xBA, 0x6D, 0x94, 0xC2, 0x47, 0xEF, 0x96, 0x4A, 0xA3, 0xA2, 0xBA, 0xE8, 0xED, 0xC7, 0x75, 0x69, 0xF2, 0x8D, 0xBB, 0xFF, 0x2D, 0x4E }, + { 0xE9, 0x4F, 0x52, 0x6D, 0xE9, 0x01, 0x96, 0x33, 0xEC, 0xD5, 0x4A, 0xC6, 0x12, 0x0F, 0x23, 0x95, 0x8D, 0x77, 0x18, 0xF1, 0xE7, 0x71, 0x7B, 0xF3, 0x29, 0x21, 0x1A, 0x4F, 0xAE, 0xED, 0x4E, 0x6D }, + { 0xCB, 0xD6, 0x66, 0x0A, 0x10, 0xDB, 0x3F, 0x23, 0xF7, 0xA0, 0x3D, 0x4B, 0x9D, 0x40, 0x44, 0xC7, 0x93, 0x2B, 0x28, 0x01, 0xAC, 0x89, 0xD6, 0x0B, 0xC9, 0xEB, 0x92, 0xD6, 0x5A, 0x46, 0xC2, 0xA0 }, + { 0x88, 0x18, 0xBB, 0xD3, 0xDB, 0x4D, 0xC1, 0x23, 0xB2, 0x5C, 0xBB, 0xA5, 0xF5, 0x4C, 0x2B, 0xC4, 0xB3, 0xFC, 0xF9, 0xBF, 0x7D, 0x7A, 0x77, 0x09, 0xF4, 0xAE, 0x58, 0x8B, 0x26, 0x7C, 0x4E, 0xCE }, + { 0xC6, 0x53, 0x82, 0x51, 0x3F, 0x07, 0x46, 0x0D, 0xA3, 0x98, 0x33, 0xCB, 0x66, 0x6C, 0x5E, 0xD8, 0x2E, 0x61, 0xB9, 0xE9, 0x98, 0xF4, 0xB0, 0xC4, 0x28, 0x7C, 0xEE, 0x56, 0xC3, 0xCC, 0x9B, 0xCD }, + { 0x89, 0x75, 0xB0, 0x57, 0x7F, 0xD3, 0x55, 0x66, 0xD7, 0x50, 0xB3, 0x62, 0xB0, 0x89, 0x7A, 0x26, 0xC3, 0x99, 0x13, 0x6D, 0xF0, 0x7B, 0xAB, 0xAB, 0xBD, 0xE6, 0x20, 0x3F, 0xF2, 0x95, 0x4E, 0xD4 }, + { 0x21, 0xFE, 0x0C, 0xEB, 0x00, 0x52, 0xBE, 0x7F, 0xB0, 0xF0, 0x04, 0x18, 0x7C, 0xAC, 0xD7, 0xDE, 0x67, 0xFA, 0x6E, 0xB0, 0x93, 0x8D, 0x92, 0x76, 0x77, 0xF2, 0x39, 0x8C, 0x13, 0x23, 0x17, 0xA8 }, + { 0x2E, 0xF7, 0x3F, 0x3C, 0x26, 0xF1, 0x2D, 0x93, 0x88, 0x9F, 0x3C, 0x78, 0xB6, 0xA6, 0x6C, 0x1D, 0x52, 0xB6, 0x49, 0xDC, 0x9E, 0x85, 0x6E, 0x2C, 0x17, 0x2E, 0xA7, 0xC5, 0x8A, 0xC2, 0xB5, 0xE3 }, + { 0x38, 0x8A, 0x3C, 0xD5, 0x6D, 0x73, 0x86, 0x7A, 0xBB, 0x5F, 0x84, 0x01, 0x49, 0x2B, 0x6E, 0x26, 0x81, 0xEB, 0x69, 0x85, 0x1E, 0x76, 0x7F, 0xD8, 0x42, 0x10, 0xA5, 0x60, 0x76, 0xFB, 0x3D, 0xD3 }, + { 0xAF, 0x53, 0x3E, 0x02, 0x2F, 0xC9, 0x43, 0x9E, 0x4E, 0x3C, 0xB8, 0x38, 0xEC, 0xD1, 0x86, 0x92, 0x23, 0x2A, 0xDF, 0x6F, 0xE9, 0x83, 0x95, 0x26, 0xD3, 0xC3, 0xDD, 0x1B, 0x71, 0x91, 0x0B, 0x1A }, + { 0x75, 0x1C, 0x09, 0xD4, 0x1A, 0x93, 0x43, 0x88, 0x2A, 0x81, 0xCD, 0x13, 0xEE, 0x40, 0x81, 0x8D, 0x12, 0xEB, 0x44, 0xC6, 0xC7, 0xF4, 0x0D, 0xF1, 0x6E, 0x4A, 0xEA, 0x8F, 0xAB, 0x91, 0x97, 0x2A }, + { 0x5B, 0x73, 0xDD, 0xB6, 0x8D, 0x9D, 0x2B, 0x0A, 0xA2, 0x65, 0xA0, 0x79, 0x88, 0xD6, 0xB8, 0x8A, 0xE9, 0xAA, 0xC5, 0x82, 0xAF, 0x83, 0x03, 0x2F, 0x8A, 0x9B, 0x21, 0xA2, 0xE1, 0xB7, 0xBF, 0x18 }, + { 0x3D, 0xA2, 0x91, 0x26, 0xC7, 0xC5, 0xD7, 0xF4, 0x3E, 0x64, 0x24, 0x2A, 0x79, 0xFE, 0xAA, 0x4E, 0xF3, 0x45, 0x9C, 0xDE, 0xCC, 0xC8, 0x98, 0xED, 0x59, 0xA9, 0x7F, 0x6E, 0xC9, 0x3B, 0x9D, 0xAB }, + { 0x56, 0x6D, 0xC9, 0x20, 0x29, 0x3D, 0xA5, 0xCB, 0x4F, 0xE0, 0xAA, 0x8A, 0xBD, 0xA8, 0xBB, 0xF5, 0x6F, 0x55, 0x23, 0x13, 0xBF, 0xF1, 0x90, 0x46, 0x64, 0x1E, 0x36, 0x15, 0xC1, 0xE3, 0xED, 0x3F }, + { 0x41, 0x15, 0xBE, 0xA0, 0x2F, 0x73, 0xF9, 0x7F, 0x62, 0x9E, 0x5C, 0x55, 0x90, 0x72, 0x0C, 0x01, 0xE7, 0xE4, 0x49, 0xAE, 0x2A, 0x66, 0x97, 0xD4, 0xD2, 0x78, 0x33, 0x21, 0x30, 0x36, 0x92, 0xF9 }, + { 0x4C, 0xE0, 0x8F, 0x47, 0x62, 0x46, 0x8A, 0x76, 0x70, 0x01, 0x21, 0x64, 0x87, 0x8D, 0x68, 0x34, 0x0C, 0x52, 0xA3, 0x5E, 0x66, 0xC1, 0x88, 0x4D, 0x5C, 0x86, 0x48, 0x89, 0xAB, 0xC9, 0x66, 0x77 }, + { 0x81, 0xEA, 0x0B, 0x78, 0x04, 0x12, 0x4E, 0x0C, 0x22, 0xEA, 0x5F, 0xC7, 0x11, 0x04, 0xA2, 0xAF, 0xCB, 0x52, 0xA1, 0xFA, 0x81, 0x6F, 0x3E, 0xCB, 0x7D, 0xCB, 0x5D, 0x9D, 0xEA, 0x17, 0x86, 0xD0 }, + { 0xFE, 0x36, 0x27, 0x33, 0xB0, 0x5F, 0x6B, 0xED, 0xAF, 0x93, 0x79, 0xD7, 0xF7, 0x93, 0x6E, 0xDE, 0x20, 0x9B, 0x1F, 0x83, 0x23, 0xC3, 0x92, 0x25, 0x49, 0xD9, 0xE7, 0x36, 0x81, 0xB5, 0xDB, 0x7B }, + { 0xEF, 0xF3, 0x7D, 0x30, 0xDF, 0xD2, 0x03, 0x59, 0xBE, 0x4E, 0x73, 0xFD, 0xF4, 0x0D, 0x27, 0x73, 0x4B, 0x3D, 0xF9, 0x0A, 0x97, 0xA5, 0x5E, 0xD7, 0x45, 0x29, 0x72, 0x94, 0xCA, 0x85, 0xD0, 0x9F }, + { 0x17, 0x2F, 0xFC, 0x67, 0x15, 0x3D, 0x12, 0xE0, 0xCA, 0x76, 0xA8, 0xB6, 0xCD, 0x5D, 0x47, 0x31, 0x88, 0x5B, 0x39, 0xCE, 0x0C, 0xAC, 0x93, 0xA8, 0x97, 0x2A, 0x18, 0x00, 0x6C, 0x8B, 0x8B, 0xAF }, + { 0xC4, 0x79, 0x57, 0xF1, 0xCC, 0x88, 0xE8, 0x3E, 0xF9, 0x44, 0x58, 0x39, 0x70, 0x9A, 0x48, 0x0A, 0x03, 0x6B, 0xED, 0x5F, 0x88, 0xAC, 0x0F, 0xCC, 0x8E, 0x1E, 0x70, 0x3F, 0xFA, 0xAC, 0x13, 0x2C }, + { 0x30, 0xF3, 0x54, 0x83, 0x70, 0xCF, 0xDC, 0xED, 0xA5, 0xC3, 0x7B, 0x56, 0x9B, 0x61, 0x75, 0xE7, 0x99, 0xEE, 0xF1, 0xA6, 0x2A, 0xAA, 0x94, 0x32, 0x45, 0xAE, 0x76, 0x69, 0xC2, 0x27, 0xA7, 0xB5 }, + { 0xC9, 0x5D, 0xCB, 0x3C, 0xF1, 0xF2, 0x7D, 0x0E, 0xEF, 0x2F, 0x25, 0xD2, 0x41, 0x38, 0x70, 0x90, 0x4A, 0x87, 0x7C, 0x4A, 0x56, 0xC2, 0xDE, 0x1E, 0x83, 0xE2, 0xBC, 0x2A, 0xE2, 0xE4, 0x68, 0x21 }, + { 0xD5, 0xD0, 0xB5, 0xD7, 0x05, 0x43, 0x4C, 0xD4, 0x6B, 0x18, 0x57, 0x49, 0xF6, 0x6B, 0xFB, 0x58, 0x36, 0xDC, 0xDF, 0x6E, 0xE5, 0x49, 0xA2, 0xB7, 0xA4, 0xAE, 0xE7, 0xF5, 0x80, 0x07, 0xCA, 0xAF }, + { 0xBB, 0xC1, 0x24, 0xA7, 0x12, 0xF1, 0x5D, 0x07, 0xC3, 0x00, 0xE0, 0x5B, 0x66, 0x83, 0x89, 0xA4, 0x39, 0xC9, 0x17, 0x77, 0xF7, 0x21, 0xF8, 0x32, 0x0C, 0x1C, 0x90, 0x78, 0x06, 0x6D, 0x2C, 0x7E }, + { 0xA4, 0x51, 0xB4, 0x8C, 0x35, 0xA6, 0xC7, 0x85, 0x4C, 0xFA, 0xAE, 0x60, 0x26, 0x2E, 0x76, 0x99, 0x08, 0x16, 0x38, 0x2A, 0xC0, 0x66, 0x7E, 0x5A, 0x5C, 0x9E, 0x1B, 0x46, 0xC4, 0x34, 0x2D, 0xDF }, + { 0xB0, 0xD1, 0x50, 0xFB, 0x55, 0xE7, 0x78, 0xD0, 0x11, 0x47, 0xF0, 0xB5, 0xD8, 0x9D, 0x99, 0xEC, 0xB2, 0x0F, 0xF0, 0x7E, 0x5E, 0x67, 0x60, 0xD6, 0xB6, 0x45, 0xEB, 0x5B, 0x65, 0x4C, 0x62, 0x2B }, + { 0x34, 0xF7, 0x37, 0xC0, 0xAB, 0x21, 0x99, 0x51, 0xEE, 0xE8, 0x9A, 0x9F, 0x8D, 0xAC, 0x29, 0x9C, 0x9D, 0x4C, 0x38, 0xF3, 0x3F, 0xA4, 0x94, 0xC5, 0xC6, 0xEE, 0xFC, 0x92, 0xB6, 0xDB, 0x08, 0xBC }, + { 0x1A, 0x62, 0xCC, 0x3A, 0x00, 0x80, 0x0D, 0xCB, 0xD9, 0x98, 0x91, 0x08, 0x0C, 0x1E, 0x09, 0x84, 0x58, 0x19, 0x3A, 0x8C, 0xC9, 0xF9, 0x70, 0xEA, 0x99, 0xFB, 0xEF, 0xF0, 0x03, 0x18, 0xC2, 0x89 }, + { 0xCF, 0xCE, 0x55, 0xEB, 0xAF, 0xC8, 0x40, 0xD7, 0xAE, 0x48, 0x28, 0x1C, 0x7F, 0xD5, 0x7E, 0xC8, 0xB4, 0x82, 0xD4, 0xB7, 0x04, 0x43, 0x74, 0x95, 0x49, 0x5A, 0xC4, 0x14, 0xCF, 0x4A, 0x37, 0x4B }, + { 0x67, 0x46, 0xFA, 0xCF, 0x71, 0x14, 0x6D, 0x99, 0x9D, 0xAB, 0xD0, 0x5D, 0x09, 0x3A, 0xE5, 0x86, 0x64, 0x8D, 0x1E, 0xE2, 0x8E, 0x72, 0x61, 0x7B, 0x99, 0xD0, 0xF0, 0x08, 0x6E, 0x1E, 0x45, 0xBF }, + { 0x57, 0x1C, 0xED, 0x28, 0x3B, 0x3F, 0x23, 0xB4, 0xE7, 0x50, 0xBF, 0x12, 0xA2, 0xCA, 0xF1, 0x78, 0x18, 0x47, 0xBD, 0x89, 0x0E, 0x43, 0x60, 0x3C, 0xDC, 0x59, 0x76, 0x10, 0x2B, 0x7B, 0xB1, 0x1B }, + { 0xCF, 0xCB, 0x76, 0x5B, 0x04, 0x8E, 0x35, 0x02, 0x2C, 0x5D, 0x08, 0x9D, 0x26, 0xE8, 0x5A, 0x36, 0xB0, 0x05, 0xA2, 0xB8, 0x04, 0x93, 0xD0, 0x3A, 0x14, 0x4E, 0x09, 0xF4, 0x09, 0xB6, 0xAF, 0xD1 }, + { 0x40, 0x50, 0xC7, 0xA2, 0x77, 0x05, 0xBB, 0x27, 0xF4, 0x20, 0x89, 0xB2, 0x99, 0xF3, 0xCB, 0xE5, 0x05, 0x4E, 0xAD, 0x68, 0x72, 0x7E, 0x8E, 0xF9, 0x31, 0x8C, 0xE6, 0xF2, 0x5C, 0xD6, 0xF3, 0x1D }, + { 0x18, 0x40, 0x70, 0xBD, 0x5D, 0x26, 0x5F, 0xBD, 0xC1, 0x42, 0xCD, 0x1C, 0x5C, 0xD0, 0xD7, 0xE4, 0x14, 0xE7, 0x03, 0x69, 0xA2, 0x66, 0xD6, 0x27, 0xC8, 0xFB, 0xA8, 0x4F, 0xA5, 0xE8, 0x4C, 0x34 }, + { 0x9E, 0xDD, 0xA9, 0xA4, 0x44, 0x39, 0x02, 0xA9, 0x58, 0x8C, 0x0D, 0x0C, 0xCC, 0x62, 0xB9, 0x30, 0x21, 0x84, 0x79, 0xA6, 0x84, 0x1E, 0x6F, 0xE7, 0xD4, 0x30, 0x03, 0xF0, 0x4B, 0x1F, 0xD6, 0x43 }, + { 0xE4, 0x12, 0xFE, 0xEF, 0x79, 0x08, 0x32, 0x4A, 0x6D, 0xA1, 0x84, 0x16, 0x29, 0xF3, 0x5D, 0x3D, 0x35, 0x86, 0x42, 0x01, 0x93, 0x10, 0xEC, 0x57, 0xC6, 0x14, 0x83, 0x6B, 0x63, 0xD3, 0x07, 0x63 }, + { 0x1A, 0x2B, 0x8E, 0xDF, 0xF3, 0xF9, 0xAC, 0xC1, 0x55, 0x4F, 0xCB, 0xAE, 0x3C, 0xF1, 0xD6, 0x29, 0x8C, 0x64, 0x62, 0xE2, 0x2E, 0x5E, 0xB0, 0x25, 0x96, 0x84, 0xF8, 0x35, 0x01, 0x2B, 0xD1, 0x3F }, + { 0x28, 0x8C, 0x4A, 0xD9, 0xB9, 0x40, 0x97, 0x62, 0xEA, 0x07, 0xC2, 0x4A, 0x41, 0xF0, 0x4F, 0x69, 0xA7, 0xD7, 0x4B, 0xEE, 0x2D, 0x95, 0x43, 0x53, 0x74, 0xBD, 0xE9, 0x46, 0xD7, 0x24, 0x1C, 0x7B }, + { 0x80, 0x56, 0x91, 0xBB, 0x28, 0x67, 0x48, 0xCF, 0xB5, 0x91, 0xD3, 0xAE, 0xBE, 0x7E, 0x6F, 0x4E, 0x4D, 0xC6, 0xE2, 0x80, 0x8C, 0x65, 0x14, 0x3C, 0xC0, 0x04, 0xE4, 0xEB, 0x6F, 0xD0, 0x9D, 0x43 }, + { 0xD4, 0xAC, 0x8D, 0x3A, 0x0A, 0xFC, 0x6C, 0xFA, 0x7B, 0x46, 0x0A, 0xE3, 0x00, 0x1B, 0xAE, 0xB3, 0x6D, 0xAD, 0xB3, 0x7D, 0xA0, 0x7D, 0x2E, 0x8A, 0xC9, 0x18, 0x22, 0xDF, 0x34, 0x8A, 0xED, 0x3D }, + { 0xC3, 0x76, 0x61, 0x70, 0x14, 0xD2, 0x01, 0x58, 0xBC, 0xED, 0x3D, 0x3B, 0xA5, 0x52, 0xB6, 0xEC, 0xCF, 0x84, 0xE6, 0x2A, 0xA3, 0xEB, 0x65, 0x0E, 0x90, 0x02, 0x9C, 0x84, 0xD1, 0x3E, 0xEA, 0x69 }, + { 0xC4, 0x1F, 0x09, 0xF4, 0x3C, 0xEC, 0xAE, 0x72, 0x93, 0xD6, 0x00, 0x7C, 0xA0, 0xA3, 0x57, 0x08, 0x7D, 0x5A, 0xE5, 0x9B, 0xE5, 0x00, 0xC1, 0xCD, 0x5B, 0x28, 0x9E, 0xE8, 0x10, 0xC7, 0xB0, 0x82 }, + { 0x03, 0xD1, 0xCE, 0xD1, 0xFB, 0xA5, 0xC3, 0x91, 0x55, 0xC4, 0x4B, 0x77, 0x65, 0xCB, 0x76, 0x0C, 0x78, 0x70, 0x8D, 0xCF, 0xC8, 0x0B, 0x0B, 0xD8, 0xAD, 0xE3, 0xA5, 0x6D, 0xA8, 0x83, 0x0B, 0x29 }, + { 0x09, 0xBD, 0xE6, 0xF1, 0x52, 0x21, 0x8D, 0xC9, 0x2C, 0x41, 0xD7, 0xF4, 0x53, 0x87, 0xE6, 0x3E, 0x58, 0x69, 0xD8, 0x07, 0xEC, 0x70, 0xB8, 0x21, 0x40, 0x5D, 0xBD, 0x88, 0x4B, 0x7F, 0xCF, 0x4B }, + { 0x71, 0xC9, 0x03, 0x6E, 0x18, 0x17, 0x9B, 0x90, 0xB3, 0x7D, 0x39, 0xE9, 0xF0, 0x5E, 0xB8, 0x9C, 0xC5, 0xFC, 0x34, 0x1F, 0xD7, 0xC4, 0x77, 0xD0, 0xD7, 0x49, 0x32, 0x85, 0xFA, 0xCA, 0x08, 0xA4 }, + { 0x59, 0x16, 0x83, 0x3E, 0xBB, 0x05, 0xCD, 0x91, 0x9C, 0xA7, 0xFE, 0x83, 0xB6, 0x92, 0xD3, 0x20, 0x5B, 0xEF, 0x72, 0x39, 0x2B, 0x2C, 0xF6, 0xBB, 0x0A, 0x6D, 0x43, 0xF9, 0x94, 0xF9, 0x5F, 0x11 }, + { 0xF6, 0x3A, 0xAB, 0x3E, 0xC6, 0x41, 0xB3, 0xB0, 0x24, 0x96, 0x4C, 0x2B, 0x43, 0x7C, 0x04, 0xF6, 0x04, 0x3C, 0x4C, 0x7E, 0x02, 0x79, 0x23, 0x99, 0x95, 0x40, 0x19, 0x58, 0xF8, 0x6B, 0xBE, 0x54 }, + { 0xF1, 0x72, 0xB1, 0x80, 0xBF, 0xB0, 0x97, 0x40, 0x49, 0x31, 0x20, 0xB6, 0x32, 0x6C, 0xBD, 0xC5, 0x61, 0xE4, 0x77, 0xDE, 0xF9, 0xBB, 0xCF, 0xD2, 0x8C, 0xC8, 0xC1, 0xC5, 0xE3, 0x37, 0x9A, 0x31 }, + { 0xCB, 0x9B, 0x89, 0xCC, 0x18, 0x38, 0x1D, 0xD9, 0x14, 0x1A, 0xDE, 0x58, 0x86, 0x54, 0xD4, 0xE6, 0xA2, 0x31, 0xD5, 0xBF, 0x49, 0xD4, 0xD5, 0x9A, 0xC2, 0x7D, 0x86, 0x9C, 0xBE, 0x10, 0x0C, 0xF3 }, + { 0x7B, 0xD8, 0x81, 0x50, 0x46, 0xFD, 0xD8, 0x10, 0xA9, 0x23, 0xE1, 0x98, 0x4A, 0xAE, 0xBD, 0xCD, 0xF8, 0x4D, 0x87, 0xC8, 0x99, 0x2D, 0x68, 0xB5, 0xEE, 0xB4, 0x60, 0xF9, 0x3E, 0xB3, 0xC8, 0xD7 }, + { 0x60, 0x7B, 0xE6, 0x68, 0x62, 0xFD, 0x08, 0xEE, 0x5B, 0x19, 0xFA, 0xCA, 0xC0, 0x9D, 0xFD, 0xBC, 0xD4, 0x0C, 0x31, 0x21, 0x01, 0xD6, 0x6E, 0x6E, 0xBD, 0x2B, 0x84, 0x1F, 0x1B, 0x9A, 0x93, 0x25 }, + { 0x9F, 0xE0, 0x3B, 0xBE, 0x69, 0xAB, 0x18, 0x34, 0xF5, 0x21, 0x9B, 0x0D, 0xA8, 0x8A, 0x08, 0xB3, 0x0A, 0x66, 0xC5, 0x91, 0x3F, 0x01, 0x51, 0x96, 0x3C, 0x36, 0x05, 0x60, 0xDB, 0x03, 0x87, 0xB3 }, + { 0x90, 0xA8, 0x35, 0x85, 0x71, 0x7B, 0x75, 0xF0, 0xE9, 0xB7, 0x25, 0xE0, 0x55, 0xEE, 0xEE, 0xB9, 0xE7, 0xA0, 0x28, 0xEA, 0x7E, 0x6C, 0xBC, 0x07, 0xB2, 0x09, 0x17, 0xEC, 0x03, 0x63, 0xE3, 0x8C }, + { 0x33, 0x6E, 0xA0, 0x53, 0x0F, 0x4A, 0x74, 0x69, 0x12, 0x6E, 0x02, 0x18, 0x58, 0x7E, 0xBB, 0xDE, 0x33, 0x58, 0xA0, 0xB3, 0x1C, 0x29, 0xD2, 0x00, 0xF7, 0xDC, 0x7E, 0xB1, 0x5C, 0x6A, 0xAD, 0xD8 }, + { 0xA7, 0x9E, 0x76, 0xDC, 0x0A, 0xBC, 0xA4, 0x39, 0x6F, 0x07, 0x47, 0xCD, 0x7B, 0x74, 0x8D, 0xF9, 0x13, 0x00, 0x76, 0x26, 0xB1, 0xD6, 0x59, 0xDA, 0x0C, 0x1F, 0x78, 0xB9, 0x30, 0x3D, 0x01, 0xA3 }, + { 0x44, 0xE7, 0x8A, 0x77, 0x37, 0x56, 0xE0, 0x95, 0x15, 0x19, 0x50, 0x4D, 0x70, 0x38, 0xD2, 0x8D, 0x02, 0x13, 0xA3, 0x7E, 0x0C, 0xE3, 0x75, 0x37, 0x17, 0x57, 0xBC, 0x99, 0x63, 0x11, 0xE3, 0xB8 }, + { 0x77, 0xAC, 0x01, 0x2A, 0x3F, 0x75, 0x4D, 0xCF, 0xEA, 0xB5, 0xEB, 0x99, 0x6B, 0xE9, 0xCD, 0x2D, 0x1F, 0x96, 0x11, 0x1B, 0x6E, 0x49, 0xF3, 0x99, 0x4D, 0xF1, 0x81, 0xF2, 0x85, 0x69, 0xD8, 0x25 }, + { 0xCE, 0x5A, 0x10, 0xDB, 0x6F, 0xCC, 0xDA, 0xF1, 0x40, 0xAA, 0xA4, 0xDE, 0xD6, 0x25, 0x0A, 0x9C, 0x06, 0xE9, 0x22, 0x2B, 0xC9, 0xF9, 0xF3, 0x65, 0x8A, 0x4A, 0xFF, 0x93, 0x5F, 0x2B, 0x9F, 0x3A }, + { 0xEC, 0xC2, 0x03, 0xA7, 0xFE, 0x2B, 0xE4, 0xAB, 0xD5, 0x5B, 0xB5, 0x3E, 0x6E, 0x67, 0x35, 0x72, 0xE0, 0x07, 0x8D, 0xA8, 0xCD, 0x37, 0x5E, 0xF4, 0x30, 0xCC, 0x97, 0xF9, 0xF8, 0x00, 0x83, 0xAF }, + { 0x14, 0xA5, 0x18, 0x6D, 0xE9, 0xD7, 0xA1, 0x8B, 0x04, 0x12, 0xB8, 0x56, 0x3E, 0x51, 0xCC, 0x54, 0x33, 0x84, 0x0B, 0x4A, 0x12, 0x9A, 0x8F, 0xF9, 0x63, 0xB3, 0x3A, 0x3C, 0x4A, 0xFE, 0x8E, 0xBB }, + { 0x13, 0xF8, 0xEF, 0x95, 0xCB, 0x86, 0xE6, 0xA6, 0x38, 0x93, 0x1C, 0x8E, 0x10, 0x76, 0x73, 0xEB, 0x76, 0xBA, 0x10, 0xD7, 0xC2, 0xCD, 0x70, 0xB9, 0xD9, 0x92, 0x0B, 0xBE, 0xED, 0x92, 0x94, 0x09 }, + { 0x0B, 0x33, 0x8F, 0x4E, 0xE1, 0x2F, 0x2D, 0xFC, 0xB7, 0x87, 0x13, 0x37, 0x79, 0x41, 0xE0, 0xB0, 0x63, 0x21, 0x52, 0x58, 0x1D, 0x13, 0x32, 0x51, 0x6E, 0x4A, 0x2C, 0xAB, 0x19, 0x42, 0xCC, 0xA4 }, + { 0xEA, 0xAB, 0x0E, 0xC3, 0x7B, 0x3B, 0x8A, 0xB7, 0x96, 0xE9, 0xF5, 0x72, 0x38, 0xDE, 0x14, 0xA2, 0x64, 0xA0, 0x76, 0xF3, 0x88, 0x7D, 0x86, 0xE2, 0x9B, 0xB5, 0x90, 0x6D, 0xB5, 0xA0, 0x0E, 0x02 }, + { 0x23, 0xCB, 0x68, 0xB8, 0xC0, 0xE6, 0xDC, 0x26, 0xDC, 0x27, 0x76, 0x6D, 0xDC, 0x0A, 0x13, 0xA9, 0x94, 0x38, 0xFD, 0x55, 0x61, 0x7A, 0xA4, 0x09, 0x5D, 0x8F, 0x96, 0x97, 0x20, 0xC8, 0x72, 0xDF }, + { 0x09, 0x1D, 0x8E, 0xE3, 0x0D, 0x6F, 0x29, 0x68, 0xD4, 0x6B, 0x68, 0x7D, 0xD6, 0x52, 0x92, 0x66, 0x57, 0x42, 0xDE, 0x0B, 0xB8, 0x3D, 0xCC, 0x00, 0x04, 0xC7, 0x2C, 0xE1, 0x00, 0x07, 0xA5, 0x49 }, + { 0x7F, 0x50, 0x7A, 0xBC, 0x6D, 0x19, 0xBA, 0x00, 0xC0, 0x65, 0xA8, 0x76, 0xEC, 0x56, 0x57, 0x86, 0x88, 0x82, 0xD1, 0x8A, 0x22, 0x1B, 0xC4, 0x6C, 0x7A, 0x69, 0x12, 0x54, 0x1F, 0x5B, 0xC7, 0xBA }, + { 0xA0, 0x60, 0x7C, 0x24, 0xE1, 0x4E, 0x8C, 0x22, 0x3D, 0xB0, 0xD7, 0x0B, 0x4D, 0x30, 0xEE, 0x88, 0x01, 0x4D, 0x60, 0x3F, 0x43, 0x7E, 0x9E, 0x02, 0xAA, 0x7D, 0xAF, 0xA3, 0xCD, 0xFB, 0xAD, 0x94 }, + { 0xDD, 0xBF, 0xEA, 0x75, 0xCC, 0x46, 0x78, 0x82, 0xEB, 0x34, 0x83, 0xCE, 0x5E, 0x2E, 0x75, 0x6A, 0x4F, 0x47, 0x01, 0xB7, 0x6B, 0x44, 0x55, 0x19, 0xE8, 0x9F, 0x22, 0xD6, 0x0F, 0xA8, 0x6E, 0x06 }, + { 0x0C, 0x31, 0x1F, 0x38, 0xC3, 0x5A, 0x4F, 0xB9, 0x0D, 0x65, 0x1C, 0x28, 0x9D, 0x48, 0x68, 0x56, 0xCD, 0x14, 0x13, 0xDF, 0x9B, 0x06, 0x77, 0xF5, 0x3E, 0xCE, 0x2C, 0xD9, 0xE4, 0x77, 0xC6, 0x0A }, + { 0x46, 0xA7, 0x3A, 0x8D, 0xD3, 0xE7, 0x0F, 0x59, 0xD3, 0x94, 0x2C, 0x01, 0xDF, 0x59, 0x9D, 0xEF, 0x78, 0x3C, 0x9D, 0xA8, 0x2F, 0xD8, 0x32, 0x22, 0xCD, 0x66, 0x2B, 0x53, 0xDC, 0xE7, 0xDB, 0xDF }, + { 0xAD, 0x03, 0x8F, 0xF9, 0xB1, 0x4D, 0xE8, 0x4A, 0x80, 0x1E, 0x4E, 0x62, 0x1C, 0xE5, 0xDF, 0x02, 0x9D, 0xD9, 0x35, 0x20, 0xD0, 0xC2, 0xFA, 0x38, 0xBF, 0xF1, 0x76, 0xA8, 0xB1, 0xD1, 0x69, 0x8C }, + { 0xAB, 0x70, 0xC5, 0xDF, 0xBD, 0x1E, 0xA8, 0x17, 0xFE, 0xD0, 0xCD, 0x06, 0x72, 0x93, 0xAB, 0xF3, 0x19, 0xE5, 0xD7, 0x90, 0x1C, 0x21, 0x41, 0xD5, 0xD9, 0x9B, 0x23, 0xF0, 0x3A, 0x38, 0xE7, 0x48 }, + { 0x1F, 0xFF, 0xDA, 0x67, 0x93, 0x2B, 0x73, 0xC8, 0xEC, 0xAF, 0x00, 0x9A, 0x34, 0x91, 0xA0, 0x26, 0x95, 0x3B, 0xAB, 0xFE, 0x1F, 0x66, 0x3B, 0x06, 0x97, 0xC3, 0xC4, 0xAE, 0x8B, 0x2E, 0x7D, 0xCB }, + { 0xB0, 0xD2, 0xCC, 0x19, 0x47, 0x2D, 0xD5, 0x7F, 0x2B, 0x17, 0xEF, 0xC0, 0x3C, 0x8D, 0x58, 0xC2, 0x28, 0x3D, 0xBB, 0x19, 0xDA, 0x57, 0x2F, 0x77, 0x55, 0x85, 0x5A, 0xA9, 0x79, 0x43, 0x17, 0xA0 }, + { 0xA0, 0xD1, 0x9A, 0x6E, 0xE3, 0x39, 0x79, 0xC3, 0x25, 0x51, 0x0E, 0x27, 0x66, 0x22, 0xDF, 0x41, 0xF7, 0x15, 0x83, 0xD0, 0x75, 0x01, 0xB8, 0x70, 0x71, 0x12, 0x9A, 0x0A, 0xD9, 0x47, 0x32, 0xA5 }, + { 0x72, 0x46, 0x42, 0xA7, 0x03, 0x2D, 0x10, 0x62, 0xB8, 0x9E, 0x52, 0xBE, 0xA3, 0x4B, 0x75, 0xDF, 0x7D, 0x8F, 0xE7, 0x72, 0xD9, 0xFE, 0x3C, 0x93, 0xDD, 0xF3, 0xC4, 0x54, 0x5A, 0xB5, 0xA9, 0x9B }, + { 0xAD, 0xE5, 0xEA, 0xA7, 0xE6, 0x1F, 0x67, 0x2D, 0x58, 0x7E, 0xA0, 0x3D, 0xAE, 0x7D, 0x7B, 0x55, 0x22, 0x9C, 0x01, 0xD0, 0x6B, 0xC0, 0xA5, 0x70, 0x14, 0x36, 0xCB, 0xD1, 0x83, 0x66, 0xA6, 0x26 }, + { 0x01, 0x3B, 0x31, 0xEB, 0xD2, 0x28, 0xFC, 0xDD, 0xA5, 0x1F, 0xAB, 0xB0, 0x3B, 0xB0, 0x2D, 0x60, 0xAC, 0x20, 0xCA, 0x21, 0x5A, 0xAF, 0xA8, 0x3B, 0xDD, 0x85, 0x5E, 0x37, 0x55, 0xA3, 0x5F, 0x0B }, + { 0x33, 0x2E, 0xD4, 0x0B, 0xB1, 0x0D, 0xDE, 0x3C, 0x95, 0x4A, 0x75, 0xD7, 0xB8, 0x99, 0x9D, 0x4B, 0x26, 0xA1, 0xC0, 0x63, 0xC1, 0xDC, 0x6E, 0x32, 0xC1, 0xD9, 0x1B, 0xAB, 0x7B, 0xBB, 0x7D, 0x16 }, + { 0xC7, 0xA1, 0x97, 0xB3, 0xA0, 0x5B, 0x56, 0x6B, 0xCC, 0x9F, 0xAC, 0xD2, 0x0E, 0x44, 0x1D, 0x6F, 0x6C, 0x28, 0x60, 0xAC, 0x96, 0x51, 0xCD, 0x51, 0xD6, 0xB9, 0xD2, 0xCD, 0xEE, 0xEA, 0x03, 0x90 }, + { 0xBD, 0x9C, 0xF6, 0x4E, 0xA8, 0x95, 0x3C, 0x03, 0x71, 0x08, 0xE6, 0xF6, 0x54, 0x91, 0x4F, 0x39, 0x58, 0xB6, 0x8E, 0x29, 0xC1, 0x67, 0x00, 0xDC, 0x18, 0x4D, 0x94, 0xA2, 0x17, 0x08, 0xFF, 0x60 }, + { 0x88, 0x35, 0xB0, 0xAC, 0x02, 0x11, 0x51, 0xDF, 0x71, 0x64, 0x74, 0xCE, 0x27, 0xCE, 0x4D, 0x3C, 0x15, 0xF0, 0xB2, 0xDA, 0xB4, 0x80, 0x03, 0xCF, 0x3F, 0x3E, 0xFD, 0x09, 0x45, 0x10, 0x6B, 0x9A }, + { 0x3B, 0xFE, 0xFA, 0x33, 0x01, 0xAA, 0x55, 0xC0, 0x80, 0x19, 0x0C, 0xFF, 0xDA, 0x8E, 0xAE, 0x51, 0xD9, 0xAF, 0x48, 0x8B, 0x4C, 0x1F, 0x24, 0xC3, 0xD9, 0xA7, 0x52, 0x42, 0xFD, 0x8E, 0xA0, 0x1D }, + { 0x08, 0x28, 0x4D, 0x14, 0x99, 0x3C, 0xD4, 0x7D, 0x53, 0xEB, 0xAE, 0xCF, 0x0D, 0xF0, 0x47, 0x8C, 0xC1, 0x82, 0xC8, 0x9C, 0x00, 0xE1, 0x85, 0x9C, 0x84, 0x85, 0x16, 0x86, 0xDD, 0xF2, 0xC1, 0xB7 }, + { 0x1E, 0xD7, 0xEF, 0x9F, 0x04, 0xC2, 0xAC, 0x8D, 0xB6, 0xA8, 0x64, 0xDB, 0x13, 0x10, 0x87, 0xF2, 0x70, 0x65, 0x09, 0x8E, 0x69, 0xC3, 0xFE, 0x78, 0x71, 0x8D, 0x9B, 0x94, 0x7F, 0x4A, 0x39, 0xD0 }, + { 0xC1, 0x61, 0xF2, 0xDC, 0xD5, 0x7E, 0x9C, 0x14, 0x39, 0xB3, 0x1A, 0x9D, 0xD4, 0x3D, 0x8F, 0x3D, 0x7D, 0xD8, 0xF0, 0xEB, 0x7C, 0xFA, 0xC6, 0xFB, 0x25, 0xA0, 0xF2, 0x8E, 0x30, 0x6F, 0x06, 0x61 }, + { 0xC0, 0x19, 0x69, 0xAD, 0x34, 0xC5, 0x2C, 0xAF, 0x3D, 0xC4, 0xD8, 0x0D, 0x19, 0x73, 0x5C, 0x29, 0x73, 0x1A, 0xC6, 0xE7, 0xA9, 0x20, 0x85, 0xAB, 0x92, 0x50, 0xC4, 0x8D, 0xEA, 0x48, 0xA3, 0xFC }, + { 0x17, 0x20, 0xB3, 0x65, 0x56, 0x19, 0xD2, 0xA5, 0x2B, 0x35, 0x21, 0xAE, 0x0E, 0x49, 0xE3, 0x45, 0xCB, 0x33, 0x89, 0xEB, 0xD6, 0x20, 0x8A, 0xCA, 0xF9, 0xF1, 0x3F, 0xDA, 0xCC, 0xA8, 0xBE, 0x49 }, + { 0x75, 0x62, 0x88, 0x36, 0x1C, 0x83, 0xE2, 0x4C, 0x61, 0x7C, 0xF9, 0x5C, 0x90, 0x5B, 0x22, 0xD0, 0x17, 0xCD, 0xC8, 0x6F, 0x0B, 0xF1, 0xD6, 0x58, 0xF4, 0x75, 0x6C, 0x73, 0x79, 0x87, 0x3B, 0x7F }, + { 0xE7, 0xD0, 0xED, 0xA3, 0x45, 0x26, 0x93, 0xB7, 0x52, 0xAB, 0xCD, 0xA1, 0xB5, 0x5E, 0x27, 0x6F, 0x82, 0x69, 0x8F, 0x5F, 0x16, 0x05, 0x40, 0x3E, 0xFF, 0x83, 0x0B, 0xEA, 0x00, 0x71, 0xA3, 0x94 }, + { 0x2C, 0x82, 0xEC, 0xAA, 0x6B, 0x84, 0x80, 0x3E, 0x04, 0x4A, 0xF6, 0x31, 0x18, 0xAF, 0xE5, 0x44, 0x68, 0x7C, 0xB6, 0xE6, 0xC7, 0xDF, 0x49, 0xED, 0x76, 0x2D, 0xFD, 0x7C, 0x86, 0x93, 0xA1, 0xBC }, + { 0x61, 0x36, 0xCB, 0xF4, 0xB4, 0x41, 0x05, 0x6F, 0xA1, 0xE2, 0x72, 0x24, 0x98, 0x12, 0x5D, 0x6D, 0xED, 0x45, 0xE1, 0x7B, 0x52, 0x14, 0x39, 0x59, 0xC7, 0xF4, 0xD4, 0xE3, 0x95, 0x21, 0x8A, 0xC2 }, + { 0x72, 0x1D, 0x32, 0x45, 0xAA, 0xFE, 0xF2, 0x7F, 0x6A, 0x62, 0x4F, 0x47, 0x95, 0x4B, 0x6C, 0x25, 0x50, 0x79, 0x52, 0x6F, 0xFA, 0x25, 0xE9, 0xFF, 0x77, 0xE5, 0xDC, 0xFF, 0x47, 0x3B, 0x15, 0x97 }, + { 0x9D, 0xD2, 0xFB, 0xD8, 0xCE, 0xF1, 0x6C, 0x35, 0x3C, 0x0A, 0xC2, 0x11, 0x91, 0xD5, 0x09, 0xEB, 0x28, 0xDD, 0x9E, 0x3E, 0x0D, 0x8C, 0xEA, 0x5D, 0x26, 0xCA, 0x83, 0x93, 0x93, 0x85, 0x1C, 0x3A }, + { 0xB2, 0x39, 0x4C, 0xEA, 0xCD, 0xEB, 0xF2, 0x1B, 0xF9, 0xDF, 0x2C, 0xED, 0x98, 0xE5, 0x8F, 0x1C, 0x3A, 0x4B, 0xBB, 0xFF, 0x66, 0x0D, 0xD9, 0x00, 0xF6, 0x22, 0x02, 0xD6, 0x78, 0x5C, 0xC4, 0x6E }, + { 0x57, 0x08, 0x9F, 0x22, 0x27, 0x49, 0xAD, 0x78, 0x71, 0x76, 0x5F, 0x06, 0x2B, 0x11, 0x4F, 0x43, 0xBA, 0x20, 0xEC, 0x56, 0x42, 0x2A, 0x8B, 0x1E, 0x3F, 0x87, 0x19, 0x2C, 0x0E, 0xA7, 0x18, 0xC6 }, + { 0xE4, 0x9A, 0x94, 0x59, 0x96, 0x1C, 0xD3, 0x3C, 0xDF, 0x4A, 0xAE, 0x1B, 0x10, 0x78, 0xA5, 0xDE, 0xA7, 0xC0, 0x40, 0xE0, 0xFE, 0xA3, 0x40, 0xC9, 0x3A, 0x72, 0x48, 0x72, 0xFC, 0x4A, 0xF8, 0x06 }, + { 0xED, 0xE6, 0x7F, 0x72, 0x0E, 0xFF, 0xD2, 0xCA, 0x9C, 0x88, 0x99, 0x41, 0x52, 0xD0, 0x20, 0x1D, 0xEE, 0x6B, 0x0A, 0x2D, 0x2C, 0x07, 0x7A, 0xCA, 0x6D, 0xAE, 0x29, 0xF7, 0x3F, 0x8B, 0x63, 0x09 }, + { 0xE0, 0xF4, 0x34, 0xBF, 0x22, 0xE3, 0x08, 0x80, 0x39, 0xC2, 0x1F, 0x71, 0x9F, 0xFC, 0x67, 0xF0, 0xF2, 0xCB, 0x5E, 0x98, 0xA7, 0xA0, 0x19, 0x4C, 0x76, 0xE9, 0x6B, 0xF4, 0xE8, 0xE1, 0x7E, 0x61 }, + { 0x27, 0x7C, 0x04, 0xE2, 0x85, 0x34, 0x84, 0xA4, 0xEB, 0xA9, 0x10, 0xAD, 0x33, 0x6D, 0x01, 0xB4, 0x77, 0xB6, 0x7C, 0xC2, 0x00, 0xC5, 0x9F, 0x3C, 0x8D, 0x77, 0xEE, 0xF8, 0x49, 0x4F, 0x29, 0xCD }, + { 0x15, 0x6D, 0x57, 0x47, 0xD0, 0xC9, 0x9C, 0x7F, 0x27, 0x09, 0x7D, 0x7B, 0x7E, 0x00, 0x2B, 0x2E, 0x18, 0x5C, 0xB7, 0x2D, 0x8D, 0xD7, 0xEB, 0x42, 0x4A, 0x03, 0x21, 0x52, 0x81, 0x61, 0x21, 0x9F }, + { 0x20, 0xDD, 0xD1, 0xED, 0x9B, 0x1C, 0xA8, 0x03, 0x94, 0x6D, 0x64, 0xA8, 0x3A, 0xE4, 0x65, 0x9D, 0xA6, 0x7F, 0xBA, 0x7A, 0x1A, 0x3E, 0xDD, 0xB1, 0xE1, 0x03, 0xC0, 0xF5, 0xE0, 0x3E, 0x3A, 0x2C }, + { 0xF0, 0xAF, 0x60, 0x4D, 0x3D, 0xAB, 0xBF, 0x9A, 0x0F, 0x2A, 0x7D, 0x3D, 0xDA, 0x6B, 0xD3, 0x8B, 0xBA, 0x72, 0xC6, 0xD0, 0x9B, 0xE4, 0x94, 0xFC, 0xEF, 0x71, 0x3F, 0xF1, 0x01, 0x89, 0xB6, 0xE6 }, + { 0x98, 0x02, 0xBB, 0x87, 0xDE, 0xF4, 0xCC, 0x10, 0xC4, 0xA5, 0xFD, 0x49, 0xAA, 0x58, 0xDF, 0xE2, 0xF3, 0xFD, 0xDB, 0x46, 0xB4, 0x70, 0x88, 0x14, 0xEA, 0xD8, 0x1D, 0x23, 0xBA, 0x95, 0x13, 0x9B }, + { 0x4F, 0x8C, 0xE1, 0xE5, 0x1D, 0x2F, 0xE7, 0xF2, 0x40, 0x43, 0xA9, 0x04, 0xD8, 0x98, 0xEB, 0xFC, 0x91, 0x97, 0x54, 0x18, 0x75, 0x34, 0x13, 0xAA, 0x09, 0x9B, 0x79, 0x5E, 0xCB, 0x35, 0xCE, 0xDB }, + { 0xBD, 0xDC, 0x65, 0x14, 0xD7, 0xEE, 0x6A, 0xCE, 0x0A, 0x4A, 0xC1, 0xD0, 0xE0, 0x68, 0x11, 0x22, 0x88, 0xCB, 0xCF, 0x56, 0x04, 0x54, 0x64, 0x27, 0x05, 0x63, 0x01, 0x77, 0xCB, 0xA6, 0x08, 0xBD }, + { 0xD6, 0x35, 0x99, 0x4F, 0x62, 0x91, 0x51, 0x7B, 0x02, 0x81, 0xFF, 0xDD, 0x49, 0x6A, 0xFA, 0x86, 0x27, 0x12, 0xE5, 0xB3, 0xC4, 0xE5, 0x2E, 0x4C, 0xD5, 0xFD, 0xAE, 0x8C, 0x0E, 0x72, 0xFB, 0x08 }, + { 0x87, 0x8D, 0x9C, 0xA6, 0x00, 0xCF, 0x87, 0xE7, 0x69, 0xCC, 0x30, 0x5C, 0x1B, 0x35, 0x25, 0x51, 0x86, 0x61, 0x5A, 0x73, 0xA0, 0xDA, 0x61, 0x3B, 0x5F, 0x1C, 0x98, 0xDB, 0xF8, 0x12, 0x83, 0xEA }, + { 0xA6, 0x4E, 0xBE, 0x5D, 0xC1, 0x85, 0xDE, 0x9F, 0xDD, 0xE7, 0x60, 0x7B, 0x69, 0x98, 0x70, 0x2E, 0xB2, 0x34, 0x56, 0x18, 0x49, 0x57, 0x30, 0x7D, 0x2F, 0xA7, 0x2E, 0x87, 0xA4, 0x77, 0x02, 0xD6 }, + { 0xCE, 0x50, 0xEA, 0xB7, 0xB5, 0xEB, 0x52, 0xBD, 0xC9, 0xAD, 0x8E, 0x5A, 0x48, 0x0A, 0xB7, 0x80, 0xCA, 0x93, 0x20, 0xE4, 0x43, 0x60, 0xB1, 0xFE, 0x37, 0xE0, 0x3F, 0x2F, 0x7A, 0xD7, 0xDE, 0x01 }, + { 0xEE, 0xDD, 0xB7, 0xC0, 0xDB, 0x6E, 0x30, 0xAB, 0xE6, 0x6D, 0x79, 0xE3, 0x27, 0x51, 0x1E, 0x61, 0xFC, 0xEB, 0xBC, 0x29, 0xF1, 0x59, 0xB4, 0x0A, 0x86, 0xB0, 0x46, 0xEC, 0xF0, 0x51, 0x38, 0x23 }, + { 0x78, 0x7F, 0xC9, 0x34, 0x40, 0xC1, 0xEC, 0x96, 0xB5, 0xAD, 0x01, 0xC1, 0x6C, 0xF7, 0x79, 0x16, 0xA1, 0x40, 0x5F, 0x94, 0x26, 0x35, 0x6E, 0xC9, 0x21, 0xD8, 0xDF, 0xF3, 0xEA, 0x63, 0xB7, 0xE0 }, + { 0x7F, 0x0D, 0x5E, 0xAB, 0x47, 0xEE, 0xFD, 0xA6, 0x96, 0xC0, 0xBF, 0x0F, 0xBF, 0x86, 0xAB, 0x21, 0x6F, 0xCE, 0x46, 0x1E, 0x93, 0x03, 0xAB, 0xA6, 0xAC, 0x37, 0x41, 0x20, 0xE8, 0x90, 0xE8, 0xDF }, + { 0xB6, 0x80, 0x04, 0xB4, 0x2F, 0x14, 0xAD, 0x02, 0x9F, 0x4C, 0x2E, 0x03, 0xB1, 0xD5, 0xEB, 0x76, 0xD5, 0x71, 0x60, 0xE2, 0x64, 0x76, 0xD2, 0x11, 0x31, 0xBE, 0xF2, 0x0A, 0xDA, 0x7D, 0x27, 0xF4 }, + { 0xB0, 0xC4, 0xEB, 0x18, 0xAE, 0x25, 0x0B, 0x51, 0xA4, 0x13, 0x82, 0xEA, 0xD9, 0x2D, 0x0D, 0xC7, 0x45, 0x5F, 0x93, 0x79, 0xFC, 0x98, 0x84, 0x42, 0x8E, 0x47, 0x70, 0x60, 0x8D, 0xB0, 0xFA, 0xEC }, + { 0xF9, 0x2B, 0x7A, 0x87, 0x0C, 0x05, 0x9F, 0x4D, 0x46, 0x46, 0x4C, 0x82, 0x4E, 0xC9, 0x63, 0x55, 0x14, 0x0B, 0xDC, 0xE6, 0x81, 0x32, 0x2C, 0xC3, 0xA9, 0x92, 0xFF, 0x10, 0x3E, 0x3F, 0xEA, 0x52 }, + { 0x53, 0x64, 0x31, 0x26, 0x14, 0x81, 0x33, 0x98, 0xCC, 0x52, 0x5D, 0x4C, 0x4E, 0x14, 0x6E, 0xDE, 0xB3, 0x71, 0x26, 0x5F, 0xBA, 0x19, 0x13, 0x3A, 0x2C, 0x3D, 0x21, 0x59, 0x29, 0x8A, 0x17, 0x42 }, + { 0xF6, 0x62, 0x0E, 0x68, 0xD3, 0x7F, 0xB2, 0xAF, 0x50, 0x00, 0xFC, 0x28, 0xE2, 0x3B, 0x83, 0x22, 0x97, 0xEC, 0xD8, 0xBC, 0xE9, 0x9E, 0x8B, 0xE4, 0xD0, 0x4E, 0x85, 0x30, 0x9E, 0x3D, 0x33, 0x74 }, + { 0x53, 0x16, 0xA2, 0x79, 0x69, 0xD7, 0xFE, 0x04, 0xFF, 0x27, 0xB2, 0x83, 0x96, 0x1B, 0xFF, 0xC3, 0xBF, 0x5D, 0xFB, 0x32, 0xFB, 0x6A, 0x89, 0xD1, 0x01, 0xC6, 0xC3, 0xB1, 0x93, 0x7C, 0x28, 0x71 }, + { 0x81, 0xD1, 0x66, 0x4F, 0xDF, 0x3C, 0xB3, 0x3C, 0x24, 0xEE, 0xBA, 0xC0, 0xBD, 0x64, 0x24, 0x4B, 0x77, 0xC4, 0xAB, 0xEA, 0x90, 0xBB, 0xE8, 0xB5, 0xEE, 0x0B, 0x2A, 0xAF, 0xCF, 0x2D, 0x6A, 0x53 }, + { 0x34, 0x57, 0x82, 0xF2, 0x95, 0xB0, 0x88, 0x03, 0x52, 0xE9, 0x24, 0xA0, 0x46, 0x7B, 0x5F, 0xBC, 0x3E, 0x8F, 0x3B, 0xFB, 0xC3, 0xC7, 0xE4, 0x8B, 0x67, 0x09, 0x1F, 0xB5, 0xE8, 0x0A, 0x94, 0x42 }, + { 0x79, 0x41, 0x11, 0xEA, 0x6C, 0xD6, 0x5E, 0x31, 0x1F, 0x74, 0xEE, 0x41, 0xD4, 0x76, 0xCB, 0x63, 0x2C, 0xE1, 0xE4, 0xB0, 0x51, 0xDC, 0x1D, 0x9E, 0x9D, 0x06, 0x1A, 0x19, 0xE1, 0xD0, 0xBB, 0x49 }, + { 0x2A, 0x85, 0xDA, 0xF6, 0x13, 0x88, 0x16, 0xB9, 0x9B, 0xF8, 0xD0, 0x8B, 0xA2, 0x11, 0x4B, 0x7A, 0xB0, 0x79, 0x75, 0xA7, 0x84, 0x20, 0xC1, 0xA3, 0xB0, 0x6A, 0x77, 0x7C, 0x22, 0xDD, 0x8B, 0xCB }, + { 0x89, 0xB0, 0xD5, 0xF2, 0x89, 0xEC, 0x16, 0x40, 0x1A, 0x06, 0x9A, 0x96, 0x0D, 0x0B, 0x09, 0x3E, 0x62, 0x5D, 0xA3, 0xCF, 0x41, 0xEE, 0x29, 0xB5, 0x9B, 0x93, 0x0C, 0x58, 0x20, 0x14, 0x54, 0x55 }, + { 0xD0, 0xFD, 0xCB, 0x54, 0x39, 0x43, 0xFC, 0x27, 0xD2, 0x08, 0x64, 0xF5, 0x21, 0x81, 0x47, 0x1B, 0x94, 0x2C, 0xC7, 0x7C, 0xA6, 0x75, 0xBC, 0xB3, 0x0D, 0xF3, 0x1D, 0x35, 0x8E, 0xF7, 0xB1, 0xEB }, + { 0xB1, 0x7E, 0xA8, 0xD7, 0x70, 0x63, 0xC7, 0x09, 0xD4, 0xDC, 0x6B, 0x87, 0x94, 0x13, 0xC3, 0x43, 0xE3, 0x79, 0x0E, 0x9E, 0x62, 0xCA, 0x85, 0xB7, 0x90, 0x0B, 0x08, 0x6F, 0x6B, 0x75, 0xC6, 0x72 }, + { 0xE7, 0x1A, 0x3E, 0x2C, 0x27, 0x4D, 0xB8, 0x42, 0xD9, 0x21, 0x14, 0xF2, 0x17, 0xE2, 0xC0, 0xEA, 0xC8, 0xB4, 0x50, 0x93, 0xFD, 0xFD, 0x9D, 0xF4, 0xCA, 0x71, 0x62, 0x39, 0x48, 0x62, 0xD5, 0x01 }, + { 0xC0, 0x47, 0x67, 0x59, 0xAB, 0x7A, 0xA3, 0x33, 0x23, 0x4F, 0x6B, 0x44, 0xF5, 0xFD, 0x85, 0x83, 0x90, 0xEC, 0x23, 0x69, 0x4C, 0x62, 0x2C, 0xB9, 0x86, 0xE7, 0x69, 0xC7, 0x8E, 0xDD, 0x73, 0x3E }, + { 0x9A, 0xB8, 0xEA, 0xBB, 0x14, 0x16, 0x43, 0x4D, 0x85, 0x39, 0x13, 0x41, 0xD5, 0x69, 0x93, 0xC5, 0x54, 0x58, 0x16, 0x7D, 0x44, 0x18, 0xB1, 0x9A, 0x0F, 0x2A, 0xD8, 0xB7, 0x9A, 0x83, 0xA7, 0x5B }, + { 0x79, 0x92, 0xD0, 0xBB, 0xB1, 0x5E, 0x23, 0x82, 0x6F, 0x44, 0x3E, 0x00, 0x50, 0x5D, 0x68, 0xD3, 0xED, 0x73, 0x72, 0x99, 0x5A, 0x5C, 0x3E, 0x49, 0x86, 0x54, 0x10, 0x2F, 0xBC, 0xD0, 0x96, 0x4E }, + { 0xC0, 0x21, 0xB3, 0x00, 0x85, 0x15, 0x14, 0x35, 0xDF, 0x33, 0xB0, 0x07, 0xCC, 0xEC, 0xC6, 0x9D, 0xF1, 0x26, 0x9F, 0x39, 0xBA, 0x25, 0x09, 0x2B, 0xED, 0x59, 0xD9, 0x32, 0xAC, 0x0F, 0xDC, 0x28 }, + { 0x91, 0xA2, 0x5E, 0xC0, 0xEC, 0x0D, 0x9A, 0x56, 0x7F, 0x89, 0xC4, 0xBF, 0xE1, 0xA6, 0x5A, 0x0E, 0x43, 0x2D, 0x07, 0x06, 0x4B, 0x41, 0x90, 0xE2, 0x7D, 0xFB, 0x81, 0x90, 0x1F, 0xD3, 0x13, 0x9B }, + { 0x59, 0x50, 0xD3, 0x9A, 0x23, 0xE1, 0x54, 0x5F, 0x30, 0x12, 0x70, 0xAA, 0x1A, 0x12, 0xF2, 0xE6, 0xC4, 0x53, 0x77, 0x6E, 0x4D, 0x63, 0x55, 0xDE, 0x42, 0x5C, 0xC1, 0x53, 0xF9, 0x81, 0x88, 0x67 }, + { 0xD7, 0x9F, 0x14, 0x72, 0x0C, 0x61, 0x0A, 0xF1, 0x79, 0xA3, 0x76, 0x5D, 0x4B, 0x7C, 0x09, 0x68, 0xF9, 0x77, 0x96, 0x2D, 0xBF, 0x65, 0x5B, 0x52, 0x12, 0x72, 0xB6, 0xF1, 0xE1, 0x94, 0x48, 0x8E }, + { 0xE9, 0x53, 0x1B, 0xFC, 0x8B, 0x02, 0x99, 0x5A, 0xEA, 0xA7, 0x5B, 0xA2, 0x70, 0x31, 0xFA, 0xDB, 0xCB, 0xF4, 0xA0, 0xDA, 0xB8, 0x96, 0x1D, 0x92, 0x96, 0xCD, 0x7E, 0x84, 0xD2, 0x5D, 0x60, 0x06 }, + { 0x34, 0xE9, 0xC2, 0x6A, 0x01, 0xD7, 0xF1, 0x61, 0x81, 0xB4, 0x54, 0xA9, 0xD1, 0x62, 0x3C, 0x23, 0x3C, 0xB9, 0x9D, 0x31, 0xC6, 0x94, 0x65, 0x6E, 0x94, 0x13, 0xAC, 0xA3, 0xE9, 0x18, 0x69, 0x2F }, + { 0xD9, 0xD7, 0x42, 0x2F, 0x43, 0x7B, 0xD4, 0x39, 0xDD, 0xD4, 0xD8, 0x83, 0xDA, 0xE2, 0xA0, 0x83, 0x50, 0x17, 0x34, 0x14, 0xBE, 0x78, 0x15, 0x51, 0x33, 0xFF, 0xF1, 0x96, 0x4C, 0x3D, 0x79, 0x72 }, + { 0x4A, 0xEE, 0x0C, 0x7A, 0xAF, 0x07, 0x54, 0x14, 0xFF, 0x17, 0x93, 0xEA, 0xD7, 0xEA, 0xCA, 0x60, 0x17, 0x75, 0xC6, 0x15, 0xDB, 0xD6, 0x0B, 0x64, 0x0B, 0x0A, 0x9F, 0x0C, 0xE5, 0x05, 0xD4, 0x35 }, + { 0x6B, 0xFD, 0xD1, 0x54, 0x59, 0xC8, 0x3B, 0x99, 0xF0, 0x96, 0xBF, 0xB4, 0x9E, 0xE8, 0x7B, 0x06, 0x3D, 0x69, 0xC1, 0x97, 0x4C, 0x69, 0x28, 0xAC, 0xFC, 0xFB, 0x40, 0x99, 0xF8, 0xC4, 0xEF, 0x67 }, + { 0x9F, 0xD1, 0xC4, 0x08, 0xFD, 0x75, 0xC3, 0x36, 0x19, 0x3A, 0x2A, 0x14, 0xD9, 0x4F, 0x6A, 0xF5, 0xAD, 0xF0, 0x50, 0xB8, 0x03, 0x87, 0xB4, 0xB0, 0x10, 0xFB, 0x29, 0xF4, 0xCC, 0x72, 0x70, 0x7C }, + { 0x13, 0xC8, 0x84, 0x80, 0xA5, 0xD0, 0x0D, 0x6C, 0x8C, 0x7A, 0xD2, 0x11, 0x0D, 0x76, 0xA8, 0x2D, 0x9B, 0x70, 0xF4, 0xFA, 0x66, 0x96, 0xD4, 0xE5, 0xDD, 0x42, 0xA0, 0x66, 0xDC, 0xAF, 0x99, 0x20 }, + { 0x82, 0x0E, 0x72, 0x5E, 0xE2, 0x5F, 0xE8, 0xFD, 0x3A, 0x8D, 0x5A, 0xBE, 0x4C, 0x46, 0xC3, 0xBA, 0x88, 0x9D, 0xE6, 0xFA, 0x91, 0x91, 0xAA, 0x22, 0xBA, 0x67, 0xD5, 0x70, 0x54, 0x21, 0x54, 0x2B }, + { 0x32, 0xD9, 0x3A, 0x0E, 0xB0, 0x2F, 0x42, 0xFB, 0xBC, 0xAF, 0x2B, 0xAD, 0x00, 0x85, 0xB2, 0x82, 0xE4, 0x60, 0x46, 0xA4, 0xDF, 0x7A, 0xD1, 0x06, 0x57, 0xC9, 0xD6, 0x47, 0x63, 0x75, 0xB9, 0x3E }, + { 0xAD, 0xC5, 0x18, 0x79, 0x05, 0xB1, 0x66, 0x9C, 0xD8, 0xEC, 0x9C, 0x72, 0x1E, 0x19, 0x53, 0x78, 0x6B, 0x9D, 0x89, 0xA9, 0xBA, 0xE3, 0x07, 0x80, 0xF1, 0xE1, 0xEA, 0xB2, 0x4A, 0x00, 0x52, 0x3C }, + { 0xE9, 0x07, 0x56, 0xFF, 0x7F, 0x9A, 0xD8, 0x10, 0xB2, 0x39, 0xA1, 0x0C, 0xED, 0x2C, 0xF9, 0xB2, 0x28, 0x43, 0x54, 0xC1, 0xF8, 0xC7, 0xE0, 0xAC, 0xCC, 0x24, 0x61, 0xDC, 0x79, 0x6D, 0x6E, 0x89 }, + { 0x12, 0x51, 0xF7, 0x6E, 0x56, 0x97, 0x84, 0x81, 0x87, 0x53, 0x59, 0x80, 0x1D, 0xB5, 0x89, 0xA0, 0xB2, 0x2F, 0x86, 0xD8, 0xD6, 0x34, 0xDC, 0x04, 0x50, 0x6F, 0x32, 0x2E, 0xD7, 0x8F, 0x17, 0xE8 }, + { 0x3A, 0xFA, 0x89, 0x9F, 0xD9, 0x80, 0xE7, 0x3E, 0xCB, 0x7F, 0x4D, 0x8B, 0x8F, 0x29, 0x1D, 0xC9, 0xAF, 0x79, 0x6B, 0xC6, 0x5D, 0x27, 0xF9, 0x74, 0xC6, 0xF1, 0x93, 0xC9, 0x19, 0x1A, 0x09, 0xFD }, + { 0xAA, 0x30, 0x5B, 0xE2, 0x6E, 0x5D, 0xED, 0xDC, 0x3C, 0x10, 0x10, 0xCB, 0xC2, 0x13, 0xF9, 0x5F, 0x05, 0x1C, 0x78, 0x5C, 0x5B, 0x43, 0x1E, 0x6A, 0x7C, 0xD0, 0x48, 0xF1, 0x61, 0x78, 0x75, 0x28 }, + { 0x8E, 0xA1, 0x88, 0x4F, 0xF3, 0x2E, 0x9D, 0x10, 0xF0, 0x39, 0xB4, 0x07, 0xD0, 0xD4, 0x4E, 0x7E, 0x67, 0x0A, 0xBD, 0x88, 0x4A, 0xEE, 0xE0, 0xFB, 0x75, 0x7A, 0xE9, 0x4E, 0xAA, 0x97, 0x37, 0x3D }, + { 0xD4, 0x82, 0xB2, 0x15, 0x5D, 0x4D, 0xEC, 0x6B, 0x47, 0x36, 0xA1, 0xF1, 0x61, 0x7B, 0x53, 0xAA, 0xA3, 0x73, 0x10, 0x27, 0x7D, 0x3F, 0xEF, 0x0C, 0x37, 0xAD, 0x41, 0x76, 0x8F, 0xC2, 0x35, 0xB4 }, + { 0x4D, 0x41, 0x39, 0x71, 0x38, 0x7E, 0x7A, 0x88, 0x98, 0xA8, 0xDC, 0x2A, 0x27, 0x50, 0x07, 0x78, 0x53, 0x9E, 0xA2, 0x14, 0xA2, 0xDF, 0xE9, 0xB3, 0xD7, 0xE8, 0xEB, 0xDC, 0xE5, 0xCF, 0x3D, 0xB3 }, + { 0x69, 0x6E, 0x5D, 0x46, 0xE6, 0xC5, 0x7E, 0x87, 0x96, 0xE4, 0x73, 0x5D, 0x08, 0x91, 0x6E, 0x0B, 0x79, 0x29, 0xB3, 0xCF, 0x29, 0x8C, 0x29, 0x6D, 0x22, 0xE9, 0xD3, 0x01, 0x96, 0x53, 0x37, 0x1C }, + { 0x1F, 0x56, 0x47, 0xC1, 0xD3, 0xB0, 0x88, 0x22, 0x88, 0x85, 0x86, 0x5C, 0x89, 0x40, 0x90, 0x8B, 0xF4, 0x0D, 0x1A, 0x82, 0x72, 0x82, 0x19, 0x73, 0xB1, 0x60, 0x00, 0x8E, 0x7A, 0x3C, 0xE2, 0xEB }, + { 0xB6, 0xE7, 0x6C, 0x33, 0x0F, 0x02, 0x1A, 0x5B, 0xDA, 0x65, 0x87, 0x50, 0x10, 0xB0, 0xED, 0xF0, 0x91, 0x26, 0xC0, 0xF5, 0x10, 0xEA, 0x84, 0x90, 0x48, 0x19, 0x20, 0x03, 0xAE, 0xF4, 0xC6, 0x1C }, + { 0x3C, 0xD9, 0x52, 0xA0, 0xBE, 0xAD, 0xA4, 0x1A, 0xBB, 0x42, 0x4C, 0xE4, 0x7F, 0x94, 0xB4, 0x2B, 0xE6, 0x4E, 0x1F, 0xFB, 0x0F, 0xD0, 0x78, 0x22, 0x76, 0x80, 0x79, 0x46, 0xD0, 0xD0, 0xBC, 0x55 }, + { 0x98, 0xD9, 0x26, 0x77, 0x43, 0x9B, 0x41, 0xB7, 0xBB, 0x51, 0x33, 0x12, 0xAF, 0xB9, 0x2B, 0xCC, 0x8E, 0xE9, 0x68, 0xB2, 0xE3, 0xB2, 0x38, 0xCE, 0xCB, 0x9B, 0x0F, 0x34, 0xC9, 0xBB, 0x63, 0xD0 }, + { 0xEC, 0xBC, 0xA2, 0xCF, 0x08, 0xAE, 0x57, 0xD5, 0x17, 0xAD, 0x16, 0x15, 0x8A, 0x32, 0xBF, 0xA7, 0xDC, 0x03, 0x82, 0xEA, 0xED, 0xA1, 0x28, 0xE9, 0x18, 0x86, 0x73, 0x4C, 0x24, 0xA0, 0xB2, 0x9D }, + { 0x94, 0x2C, 0xC7, 0xC0, 0xB5, 0x2E, 0x2B, 0x16, 0xA4, 0xB8, 0x9F, 0xA4, 0xFC, 0x7E, 0x0B, 0xF6, 0x09, 0xE2, 0x9A, 0x08, 0xC1, 0xA8, 0x54, 0x34, 0x52, 0xB7, 0x7C, 0x7B, 0xFD, 0x11, 0xBB, 0x28 }, + { 0x8A, 0x06, 0x5D, 0x8B, 0x61, 0xA0, 0xDF, 0xFB, 0x17, 0x0D, 0x56, 0x27, 0x73, 0x5A, 0x76, 0xB0, 0xE9, 0x50, 0x60, 0x37, 0x80, 0x8C, 0xBA, 0x16, 0xC3, 0x45, 0x00, 0x7C, 0x9F, 0x79, 0xCF, 0x8F }, + { 0x1B, 0x9F, 0xA1, 0x97, 0x14, 0x65, 0x9C, 0x78, 0xFF, 0x41, 0x38, 0x71, 0x84, 0x92, 0x15, 0x36, 0x10, 0x29, 0xAC, 0x80, 0x2B, 0x1C, 0xBC, 0xD5, 0x4E, 0x40, 0x8B, 0xD8, 0x72, 0x87, 0xF8, 0x1F }, + { 0x8D, 0xAB, 0x07, 0x1B, 0xCD, 0x6C, 0x72, 0x92, 0xA9, 0xEF, 0x72, 0x7B, 0x4A, 0xE0, 0xD8, 0x67, 0x13, 0x30, 0x1D, 0xA8, 0x61, 0x8D, 0x9A, 0x48, 0xAD, 0xCE, 0x55, 0xF3, 0x03, 0xA8, 0x69, 0xA1 }, + { 0x82, 0x53, 0xE3, 0xE7, 0xC7, 0xB6, 0x84, 0xB9, 0xCB, 0x2B, 0xEB, 0x01, 0x4C, 0xE3, 0x30, 0xFF, 0x3D, 0x99, 0xD1, 0x7A, 0xBB, 0xDB, 0xAB, 0xE4, 0xF4, 0xD6, 0x74, 0xDE, 0xD5, 0x3F, 0xFC, 0x6B }, + { 0xF1, 0x95, 0xF3, 0x21, 0xE9, 0xE3, 0xD6, 0xBD, 0x7D, 0x07, 0x45, 0x04, 0xDD, 0x2A, 0xB0, 0xE6, 0x24, 0x1F, 0x92, 0xE7, 0x84, 0xB1, 0xAA, 0x27, 0x1F, 0xF6, 0x48, 0xB1, 0xCA, 0xB6, 0xD7, 0xF6 }, + { 0x27, 0xE4, 0xCC, 0x72, 0x09, 0x0F, 0x24, 0x12, 0x66, 0x47, 0x6A, 0x7C, 0x09, 0x49, 0x5F, 0x2D, 0xB1, 0x53, 0xD5, 0xBC, 0xBD, 0x76, 0x19, 0x03, 0xEF, 0x79, 0x27, 0x5E, 0xC5, 0x6B, 0x2E, 0xD8 }, + { 0x89, 0x9C, 0x24, 0x05, 0x78, 0x8E, 0x25, 0xB9, 0x9A, 0x18, 0x46, 0x35, 0x5E, 0x64, 0x6D, 0x77, 0xCF, 0x40, 0x00, 0x83, 0x41, 0x5F, 0x7D, 0xC5, 0xAF, 0xE6, 0x9D, 0x6E, 0x17, 0xC0, 0x00, 0x23 }, + { 0xA5, 0x9B, 0x78, 0xC4, 0x90, 0x57, 0x44, 0x07, 0x6B, 0xFE, 0xE8, 0x94, 0xDE, 0x70, 0x7D, 0x4F, 0x12, 0x0B, 0x5C, 0x68, 0x93, 0xEA, 0x04, 0x00, 0x29, 0x7D, 0x0B, 0xB8, 0x34, 0x72, 0x76, 0x32 }, + { 0x59, 0xDC, 0x78, 0xB1, 0x05, 0x64, 0x97, 0x07, 0xA2, 0xBB, 0x44, 0x19, 0xC4, 0x8F, 0x00, 0x54, 0x00, 0xD3, 0x97, 0x3D, 0xE3, 0x73, 0x66, 0x10, 0x23, 0x04, 0x35, 0xB1, 0x04, 0x24, 0xB2, 0x4F }, + { 0xC0, 0x14, 0x9D, 0x1D, 0x7E, 0x7A, 0x63, 0x53, 0xA6, 0xD9, 0x06, 0xEF, 0xE7, 0x28, 0xF2, 0xF3, 0x29, 0xFE, 0x14, 0xA4, 0x14, 0x9A, 0x3E, 0xA7, 0x76, 0x09, 0xBC, 0x42, 0xB9, 0x75, 0xDD, 0xFA }, + { 0xA3, 0x2F, 0x24, 0x14, 0x74, 0xA6, 0xC1, 0x69, 0x32, 0xE9, 0x24, 0x3B, 0xE0, 0xCF, 0x09, 0xBC, 0xDC, 0x7E, 0x0C, 0xA0, 0xE7, 0xA6, 0xA1, 0xB9, 0xB1, 0xA0, 0xF0, 0x1E, 0x41, 0x50, 0x23, 0x77 }, + { 0xB2, 0x39, 0xB2, 0xE4, 0xF8, 0x18, 0x41, 0x36, 0x1C, 0x13, 0x39, 0xF6, 0x8E, 0x2C, 0x35, 0x9F, 0x92, 0x9A, 0xF9, 0xAD, 0x9F, 0x34, 0xE0, 0x1A, 0xAB, 0x46, 0x31, 0xAD, 0x6D, 0x55, 0x00, 0xB0 }, + { 0x85, 0xFB, 0x41, 0x9C, 0x70, 0x02, 0xA3, 0xE0, 0xB4, 0xB6, 0xEA, 0x09, 0x3B, 0x4C, 0x1A, 0xC6, 0x93, 0x66, 0x45, 0xB6, 0x5D, 0xAC, 0x5A, 0xC1, 0x5A, 0x85, 0x28, 0xB7, 0xB9, 0x4C, 0x17, 0x54 }, + { 0x96, 0x19, 0x72, 0x06, 0x25, 0xF1, 0x90, 0xB9, 0x3A, 0x3F, 0xAD, 0x18, 0x6A, 0xB3, 0x14, 0x18, 0x96, 0x33, 0xC0, 0xD3, 0xA0, 0x1E, 0x6F, 0x9B, 0xC8, 0xC4, 0xA8, 0xF8, 0x2F, 0x38, 0x3D, 0xBF }, + { 0x7D, 0x62, 0x0D, 0x90, 0xFE, 0x69, 0xFA, 0x46, 0x9A, 0x65, 0x38, 0x38, 0x89, 0x70, 0xA1, 0xAA, 0x09, 0xBB, 0x48, 0xA2, 0xD5, 0x9B, 0x34, 0x7B, 0x97, 0xE8, 0xCE, 0x71, 0xF4, 0x8C, 0x7F, 0x46 }, + { 0x29, 0x43, 0x83, 0x56, 0x85, 0x96, 0xFB, 0x37, 0xC7, 0x5B, 0xBA, 0xCD, 0x97, 0x9C, 0x5F, 0xF6, 0xF2, 0x0A, 0x55, 0x6B, 0xF8, 0x87, 0x9C, 0xC7, 0x29, 0x24, 0x85, 0x5D, 0xF9, 0xB8, 0x24, 0x0E }, + { 0x16, 0xB1, 0x8A, 0xB3, 0x14, 0x35, 0x9C, 0x2B, 0x83, 0x3C, 0x1C, 0x69, 0x86, 0xD4, 0x8C, 0x55, 0xA9, 0xFC, 0x97, 0xCD, 0xE9, 0xA3, 0xC1, 0xF1, 0x0A, 0x31, 0x77, 0x14, 0x0F, 0x73, 0xF7, 0x38 }, + { 0x8C, 0xBB, 0xDD, 0x14, 0xBC, 0x33, 0xF0, 0x4C, 0xF4, 0x58, 0x13, 0xE4, 0xA1, 0x53, 0xA2, 0x73, 0xD3, 0x6A, 0xDA, 0xD5, 0xCE, 0x71, 0xF4, 0x99, 0xEE, 0xB8, 0x7F, 0xB8, 0xAC, 0x63, 0xB7, 0x29 }, + { 0x69, 0xC9, 0xA4, 0x98, 0xDB, 0x17, 0x4E, 0xCA, 0xEF, 0xCC, 0x5A, 0x3A, 0xC9, 0xFD, 0xED, 0xF0, 0xF8, 0x13, 0xA5, 0xBE, 0xC7, 0x27, 0xF1, 0xE7, 0x75, 0xBA, 0xBD, 0xEC, 0x77, 0x18, 0x81, 0x6E }, + { 0xB4, 0x62, 0xC3, 0xBE, 0x40, 0x44, 0x8F, 0x1D, 0x4F, 0x80, 0x62, 0x62, 0x54, 0xE5, 0x35, 0xB0, 0x8B, 0xC9, 0xCD, 0xCF, 0xF5, 0x99, 0xA7, 0x68, 0x57, 0x8D, 0x4B, 0x28, 0x81, 0xA8, 0xE3, 0xF0 }, + { 0x55, 0x3E, 0x9D, 0x9C, 0x5F, 0x36, 0x0A, 0xC0, 0xB7, 0x4A, 0x7D, 0x44, 0xE5, 0xA3, 0x91, 0xDA, 0xD4, 0xCE, 0xD0, 0x3E, 0x0C, 0x24, 0x18, 0x3B, 0x7E, 0x8E, 0xCA, 0xBD, 0xF1, 0x71, 0x5A, 0x64 }, + { 0x7A, 0x7C, 0x55, 0xA5, 0x6F, 0xA9, 0xAE, 0x51, 0xE6, 0x55, 0xE0, 0x19, 0x75, 0xD8, 0xA6, 0xFF, 0x4A, 0xE9, 0xE4, 0xB4, 0x86, 0xFC, 0xBE, 0x4E, 0xAC, 0x04, 0x45, 0x88, 0xF2, 0x45, 0xEB, 0xEA }, + { 0x2A, 0xFD, 0xF3, 0xC8, 0x2A, 0xBC, 0x48, 0x67, 0xF5, 0xDE, 0x11, 0x12, 0x86, 0xC2, 0xB3, 0xBE, 0x7D, 0x6E, 0x48, 0x65, 0x7B, 0xA9, 0x23, 0xCF, 0xBF, 0x10, 0x1A, 0x6D, 0xFC, 0xF9, 0xDB, 0x9A }, + { 0x41, 0x03, 0x7D, 0x2E, 0xDC, 0xDC, 0xE0, 0xC4, 0x9B, 0x7F, 0xB4, 0xA6, 0xAA, 0x09, 0x99, 0xCA, 0x66, 0x97, 0x6C, 0x74, 0x83, 0xAF, 0xE6, 0x31, 0xD4, 0xED, 0xA2, 0x83, 0x14, 0x4F, 0x6D, 0xFC }, + { 0xC4, 0x46, 0x6F, 0x84, 0x97, 0xCA, 0x2E, 0xEB, 0x45, 0x83, 0xA0, 0xB0, 0x8E, 0x9D, 0x9A, 0xC7, 0x43, 0x95, 0x70, 0x9F, 0xDA, 0x10, 0x9D, 0x24, 0xF2, 0xE4, 0x46, 0x21, 0x96, 0x77, 0x9C, 0x5D }, + { 0x75, 0xF6, 0x09, 0x33, 0x8A, 0xA6, 0x7D, 0x96, 0x9A, 0x2A, 0xE2, 0xA2, 0x36, 0x2B, 0x2D, 0xA9, 0xD7, 0x7C, 0x69, 0x5D, 0xFD, 0x1D, 0xF7, 0x22, 0x4A, 0x69, 0x01, 0xDB, 0x93, 0x2C, 0x33, 0x64 }, + { 0x68, 0x60, 0x6C, 0xEB, 0x98, 0x9D, 0x54, 0x88, 0xFC, 0x7C, 0xF6, 0x49, 0xF3, 0xD7, 0xC2, 0x72, 0xEF, 0x05, 0x5D, 0xA1, 0xA9, 0x3F, 0xAE, 0xCD, 0x55, 0xFE, 0x06, 0xF6, 0x96, 0x70, 0x98, 0xCA }, + { 0x44, 0x34, 0x6B, 0xDE, 0xB7, 0xE0, 0x52, 0xF6, 0x25, 0x50, 0x48, 0xF0, 0xD9, 0xB4, 0x2C, 0x42, 0x5B, 0xAB, 0x9C, 0x3D, 0xD2, 0x41, 0x68, 0x21, 0x2C, 0x3E, 0xCF, 0x1E, 0xBF, 0x34, 0xE6, 0xAE }, + { 0x8E, 0x9C, 0xF6, 0xE1, 0xF3, 0x66, 0x47, 0x1F, 0x2A, 0xC7, 0xD2, 0xEE, 0x9B, 0x5E, 0x62, 0x66, 0xFD, 0xA7, 0x1F, 0x8F, 0x2E, 0x41, 0x09, 0xF2, 0x23, 0x7E, 0xD5, 0xF8, 0x81, 0x3F, 0xC7, 0x18 }, + { 0x84, 0xBB, 0xEB, 0x84, 0x06, 0xD2, 0x50, 0x95, 0x1F, 0x8C, 0x1B, 0x3E, 0x86, 0xA7, 0xC0, 0x10, 0x08, 0x29, 0x21, 0x83, 0x3D, 0xFD, 0x95, 0x55, 0xA2, 0xF9, 0x09, 0xB1, 0x08, 0x6E, 0xB4, 0xB8 }, + { 0xEE, 0x66, 0x6F, 0x3E, 0xEF, 0x0F, 0x7E, 0x2A, 0x9C, 0x22, 0x29, 0x58, 0xC9, 0x7E, 0xAF, 0x35, 0xF5, 0x1C, 0xED, 0x39, 0x3D, 0x71, 0x44, 0x85, 0xAB, 0x09, 0xA0, 0x69, 0x34, 0x0F, 0xDF, 0x88 }, + { 0xC1, 0x53, 0xD3, 0x4A, 0x65, 0xC4, 0x7B, 0x4A, 0x62, 0xC5, 0xCA, 0xCF, 0x24, 0x01, 0x09, 0x75, 0xD0, 0x35, 0x6B, 0x2F, 0x32, 0xC8, 0xF5, 0xDA, 0x53, 0x0D, 0x33, 0x88, 0x16, 0xAD, 0x5D, 0xE6 }, + { 0x9F, 0xC5, 0x45, 0x01, 0x09, 0xE1, 0xB7, 0x79, 0xF6, 0xC7, 0xAE, 0x79, 0xD5, 0x6C, 0x27, 0x63, 0x5C, 0x8D, 0xD4, 0x26, 0xC5, 0xA9, 0xD5, 0x4E, 0x25, 0x78, 0xDB, 0x98, 0x9B, 0x8C, 0x3B, 0x4E }, + { 0xD1, 0x2B, 0xF3, 0x73, 0x2E, 0xF4, 0xAF, 0x5C, 0x22, 0xFA, 0x90, 0x35, 0x6A, 0xF8, 0xFC, 0x50, 0xFC, 0xB4, 0x0F, 0x8F, 0x2E, 0xA5, 0xC8, 0x59, 0x47, 0x37, 0xA3, 0xB3, 0xD5, 0xAB, 0xDB, 0xD7 }, + { 0x11, 0x03, 0x0B, 0x92, 0x89, 0xBB, 0xA5, 0xAF, 0x65, 0x26, 0x06, 0x72, 0xAB, 0x6F, 0xEE, 0x88, 0xB8, 0x74, 0x20, 0xAC, 0xEF, 0x4A, 0x17, 0x89, 0xA2, 0x07, 0x3B, 0x7E, 0xC2, 0xF2, 0xA0, 0x9E }, + { 0x69, 0xCB, 0x19, 0x2B, 0x84, 0x44, 0x00, 0x5C, 0x8C, 0x0C, 0xEB, 0x12, 0xC8, 0x46, 0x86, 0x07, 0x68, 0x18, 0x8C, 0xDA, 0x0A, 0xEC, 0x27, 0xA9, 0xC8, 0xA5, 0x5C, 0xDE, 0xE2, 0x12, 0x36, 0x32 }, + { 0xDB, 0x44, 0x4C, 0x15, 0x59, 0x7B, 0x5F, 0x1A, 0x03, 0xD1, 0xF9, 0xED, 0xD1, 0x6E, 0x4A, 0x9F, 0x43, 0xA6, 0x67, 0xCC, 0x27, 0x51, 0x75, 0xDF, 0xA2, 0xB7, 0x04, 0xE3, 0xBB, 0x1A, 0x9B, 0x83 }, + { 0x3F, 0xB7, 0x35, 0x06, 0x1A, 0xBC, 0x51, 0x9D, 0xFE, 0x97, 0x9E, 0x54, 0xC1, 0xEE, 0x5B, 0xFA, 0xD0, 0xA9, 0xD8, 0x58, 0xB3, 0x31, 0x5B, 0xAD, 0x34, 0xBD, 0xE9, 0x99, 0xEF, 0xD7, 0x24, 0xDD } +}; + +void blake2s_selftest(void) +{ + uint8_t key[BLAKE2S_KEYBYTES]; + uint8_t buf[ARRAY_SIZE(blake2s_testvecs)]; + uint8_t hash[BLAKE2S_OUTBYTES]; + size_t i; + bool success = true; + + for (i = 0; i < BLAKE2S_KEYBYTES; ++i) + key[i] = (uint8_t)i; + + for (i = 0; i < ARRAY_SIZE(blake2s_testvecs); ++i) + buf[i] = (uint8_t)i; + + for (i = 0; i < ARRAY_SIZE(blake2s_keyed_testvecs); ++i) { + blake2s(hash, buf, key, BLAKE2S_OUTBYTES, i, BLAKE2S_KEYBYTES); + if (memcmp(hash, blake2s_keyed_testvecs[i], BLAKE2S_OUTBYTES)) { + pr_info("blake2s keyed self-test %zu: FAIL\n", i + 1); + success = false; + } + } + + for (i = 0; i < ARRAY_SIZE(blake2s_testvecs); ++i) { + blake2s(hash, buf, NULL, BLAKE2S_OUTBYTES, i, 0); + if (memcmp(hash, blake2s_testvecs[i], BLAKE2S_OUTBYTES)) { + pr_info("blake2s unkeyed self-test %zu: FAIL\n", i + i); + success = false; + } + } + + if (success) + pr_info("blake2s self-tests: pass\n"); +} +#endif diff --git a/src/crypto/blake2s.h b/src/crypto/blake2s.h new file mode 100644 index 0000000..1b42141 --- /dev/null +++ b/src/crypto/blake2s.h @@ -0,0 +1,36 @@ +/* Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. */ + +#ifndef BLAKE2S_H +#define BLAKE2S_H + +#include <linux/types.h> + +enum blake2s_lengths { + BLAKE2S_BLOCKBYTES = 64, + BLAKE2S_OUTBYTES = 32, + BLAKE2S_KEYBYTES = 32 +}; + +struct blake2s_state { + uint32_t h[8]; + uint32_t t[2]; + uint32_t f[2]; + uint8_t buf[2 * BLAKE2S_BLOCKBYTES]; + size_t buflen; + uint8_t last_node; +}; + +void blake2s(uint8_t *out, const uint8_t *in, const uint8_t *key, const uint8_t outlen, const uint64_t inlen, const uint8_t keylen); + +void blake2s_init(struct blake2s_state *state, const uint8_t outlen); +void blake2s_init_key(struct blake2s_state *state, const uint8_t outlen, const void *key, const uint8_t keylen); +void blake2s_update(struct blake2s_state *state, const uint8_t *in, uint64_t inlen); +void blake2s_final(struct blake2s_state *state, uint8_t *out, uint8_t outlen); + +void blake2s_hmac(uint8_t *out, const uint8_t *in, const uint8_t *key, const uint8_t outlen, const uint64_t inlen, const uint64_t keylen); + +#ifdef DEBUG +void blake2s_selftest(void); +#endif + +#endif diff --git a/src/crypto/chacha20-avx2-x86_64.S b/src/crypto/chacha20-avx2-x86_64.S new file mode 100644 index 0000000..2bbbc98 --- /dev/null +++ b/src/crypto/chacha20-avx2-x86_64.S @@ -0,0 +1,443 @@ +/* + * ChaCha20 256-bit cipher algorithm, RFC7539, x64 AVX2 functions + * + * Copyright (C) 2015 Martin Willi + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + */ + +#include <linux/linkage.h> + +.data +.align 32 + +ROT8: .octa 0x0e0d0c0f0a09080b0605040702010003 + .octa 0x0e0d0c0f0a09080b0605040702010003 +ROT16: .octa 0x0d0c0f0e09080b0a0504070601000302 + .octa 0x0d0c0f0e09080b0a0504070601000302 +CTRINC: .octa 0x00000003000000020000000100000000 + .octa 0x00000007000000060000000500000004 + +.text + +ENTRY(chacha20_asm_8block_xor_avx2) + # %rdi: Input state matrix, s + # %rsi: 8 data blocks output, o + # %rdx: 8 data blocks input, i + + # This function encrypts eight consecutive ChaCha20 blocks by loading + # the state matrix in AVX registers eight times. As we need some + # scratch registers, we save the first four registers on the stack. The + # algorithm performs each operation on the corresponding word of each + # state matrix, hence requires no word shuffling. For final XORing step + # we transpose the matrix by interleaving 32-, 64- and then 128-bit + # words, which allows us to do XOR in AVX registers. 8/16-bit word + # rotation is done with the slightly better performing byte shuffling, + # 7/12-bit word rotation uses traditional shift+OR. + + vzeroupper + # 4 * 32 byte stack, 32-byte aligned + mov %rsp, %r8 + and $~31, %rsp + sub $0x80, %rsp + + # x0..15[0-7] = s[0..15] + vpbroadcastd 0x00(%rdi),%ymm0 + vpbroadcastd 0x04(%rdi),%ymm1 + vpbroadcastd 0x08(%rdi),%ymm2 + vpbroadcastd 0x0c(%rdi),%ymm3 + vpbroadcastd 0x10(%rdi),%ymm4 + vpbroadcastd 0x14(%rdi),%ymm5 + vpbroadcastd 0x18(%rdi),%ymm6 + vpbroadcastd 0x1c(%rdi),%ymm7 + vpbroadcastd 0x20(%rdi),%ymm8 + vpbroadcastd 0x24(%rdi),%ymm9 + vpbroadcastd 0x28(%rdi),%ymm10 + vpbroadcastd 0x2c(%rdi),%ymm11 + vpbroadcastd 0x30(%rdi),%ymm12 + vpbroadcastd 0x34(%rdi),%ymm13 + vpbroadcastd 0x38(%rdi),%ymm14 + vpbroadcastd 0x3c(%rdi),%ymm15 + # x0..3 on stack + vmovdqa %ymm0,0x00(%rsp) + vmovdqa %ymm1,0x20(%rsp) + vmovdqa %ymm2,0x40(%rsp) + vmovdqa %ymm3,0x60(%rsp) + + vmovdqa CTRINC(%rip),%ymm1 + vmovdqa ROT8(%rip),%ymm2 + vmovdqa ROT16(%rip),%ymm3 + + # x12 += counter values 0-3 + vpaddd %ymm1,%ymm12,%ymm12 + + mov $10,%ecx + +.Ldoubleround8: + # x0 += x4, x12 = rotl32(x12 ^ x0, 16) + vpaddd 0x00(%rsp),%ymm4,%ymm0 + vmovdqa %ymm0,0x00(%rsp) + vpxor %ymm0,%ymm12,%ymm12 + vpshufb %ymm3,%ymm12,%ymm12 + # x1 += x5, x13 = rotl32(x13 ^ x1, 16) + vpaddd 0x20(%rsp),%ymm5,%ymm0 + vmovdqa %ymm0,0x20(%rsp) + vpxor %ymm0,%ymm13,%ymm13 + vpshufb %ymm3,%ymm13,%ymm13 + # x2 += x6, x14 = rotl32(x14 ^ x2, 16) + vpaddd 0x40(%rsp),%ymm6,%ymm0 + vmovdqa %ymm0,0x40(%rsp) + vpxor %ymm0,%ymm14,%ymm14 + vpshufb %ymm3,%ymm14,%ymm14 + # x3 += x7, x15 = rotl32(x15 ^ x3, 16) + vpaddd 0x60(%rsp),%ymm7,%ymm0 + vmovdqa %ymm0,0x60(%rsp) + vpxor %ymm0,%ymm15,%ymm15 + vpshufb %ymm3,%ymm15,%ymm15 + + # x8 += x12, x4 = rotl32(x4 ^ x8, 12) + vpaddd %ymm12,%ymm8,%ymm8 + vpxor %ymm8,%ymm4,%ymm4 + vpslld $12,%ymm4,%ymm0 + vpsrld $20,%ymm4,%ymm4 + vpor %ymm0,%ymm4,%ymm4 + # x9 += x13, x5 = rotl32(x5 ^ x9, 12) + vpaddd %ymm13,%ymm9,%ymm9 + vpxor %ymm9,%ymm5,%ymm5 + vpslld $12,%ymm5,%ymm0 + vpsrld $20,%ymm5,%ymm5 + vpor %ymm0,%ymm5,%ymm5 + # x10 += x14, x6 = rotl32(x6 ^ x10, 12) + vpaddd %ymm14,%ymm10,%ymm10 + vpxor %ymm10,%ymm6,%ymm6 + vpslld $12,%ymm6,%ymm0 + vpsrld $20,%ymm6,%ymm6 + vpor %ymm0,%ymm6,%ymm6 + # x11 += x15, x7 = rotl32(x7 ^ x11, 12) + vpaddd %ymm15,%ymm11,%ymm11 + vpxor %ymm11,%ymm7,%ymm7 + vpslld $12,%ymm7,%ymm0 + vpsrld $20,%ymm7,%ymm7 + vpor %ymm0,%ymm7,%ymm7 + + # x0 += x4, x12 = rotl32(x12 ^ x0, 8) + vpaddd 0x00(%rsp),%ymm4,%ymm0 + vmovdqa %ymm0,0x00(%rsp) + vpxor %ymm0,%ymm12,%ymm12 + vpshufb %ymm2,%ymm12,%ymm12 + # x1 += x5, x13 = rotl32(x13 ^ x1, 8) + vpaddd 0x20(%rsp),%ymm5,%ymm0 + vmovdqa %ymm0,0x20(%rsp) + vpxor %ymm0,%ymm13,%ymm13 + vpshufb %ymm2,%ymm13,%ymm13 + # x2 += x6, x14 = rotl32(x14 ^ x2, 8) + vpaddd 0x40(%rsp),%ymm6,%ymm0 + vmovdqa %ymm0,0x40(%rsp) + vpxor %ymm0,%ymm14,%ymm14 + vpshufb %ymm2,%ymm14,%ymm14 + # x3 += x7, x15 = rotl32(x15 ^ x3, 8) + vpaddd 0x60(%rsp),%ymm7,%ymm0 + vmovdqa %ymm0,0x60(%rsp) + vpxor %ymm0,%ymm15,%ymm15 + vpshufb %ymm2,%ymm15,%ymm15 + + # x8 += x12, x4 = rotl32(x4 ^ x8, 7) + vpaddd %ymm12,%ymm8,%ymm8 + vpxor %ymm8,%ymm4,%ymm4 + vpslld $7,%ymm4,%ymm0 + vpsrld $25,%ymm4,%ymm4 + vpor %ymm0,%ymm4,%ymm4 + # x9 += x13, x5 = rotl32(x5 ^ x9, 7) + vpaddd %ymm13,%ymm9,%ymm9 + vpxor %ymm9,%ymm5,%ymm5 + vpslld $7,%ymm5,%ymm0 + vpsrld $25,%ymm5,%ymm5 + vpor %ymm0,%ymm5,%ymm5 + # x10 += x14, x6 = rotl32(x6 ^ x10, 7) + vpaddd %ymm14,%ymm10,%ymm10 + vpxor %ymm10,%ymm6,%ymm6 + vpslld $7,%ymm6,%ymm0 + vpsrld $25,%ymm6,%ymm6 + vpor %ymm0,%ymm6,%ymm6 + # x11 += x15, x7 = rotl32(x7 ^ x11, 7) + vpaddd %ymm15,%ymm11,%ymm11 + vpxor %ymm11,%ymm7,%ymm7 + vpslld $7,%ymm7,%ymm0 + vpsrld $25,%ymm7,%ymm7 + vpor %ymm0,%ymm7,%ymm7 + + # x0 += x5, x15 = rotl32(x15 ^ x0, 16) + vpaddd 0x00(%rsp),%ymm5,%ymm0 + vmovdqa %ymm0,0x00(%rsp) + vpxor %ymm0,%ymm15,%ymm15 + vpshufb %ymm3,%ymm15,%ymm15 + # x1 += x6, x12 = rotl32(x12 ^ x1, 16)%ymm0 + vpaddd 0x20(%rsp),%ymm6,%ymm0 + vmovdqa %ymm0,0x20(%rsp) + vpxor %ymm0,%ymm12,%ymm12 + vpshufb %ymm3,%ymm12,%ymm12 + # x2 += x7, x13 = rotl32(x13 ^ x2, 16) + vpaddd 0x40(%rsp),%ymm7,%ymm0 + vmovdqa %ymm0,0x40(%rsp) + vpxor %ymm0,%ymm13,%ymm13 + vpshufb %ymm3,%ymm13,%ymm13 + # x3 += x4, x14 = rotl32(x14 ^ x3, 16) + vpaddd 0x60(%rsp),%ymm4,%ymm0 + vmovdqa %ymm0,0x60(%rsp) + vpxor %ymm0,%ymm14,%ymm14 + vpshufb %ymm3,%ymm14,%ymm14 + + # x10 += x15, x5 = rotl32(x5 ^ x10, 12) + vpaddd %ymm15,%ymm10,%ymm10 + vpxor %ymm10,%ymm5,%ymm5 + vpslld $12,%ymm5,%ymm0 + vpsrld $20,%ymm5,%ymm5 + vpor %ymm0,%ymm5,%ymm5 + # x11 += x12, x6 = rotl32(x6 ^ x11, 12) + vpaddd %ymm12,%ymm11,%ymm11 + vpxor %ymm11,%ymm6,%ymm6 + vpslld $12,%ymm6,%ymm0 + vpsrld $20,%ymm6,%ymm6 + vpor %ymm0,%ymm6,%ymm6 + # x8 += x13, x7 = rotl32(x7 ^ x8, 12) + vpaddd %ymm13,%ymm8,%ymm8 + vpxor %ymm8,%ymm7,%ymm7 + vpslld $12,%ymm7,%ymm0 + vpsrld $20,%ymm7,%ymm7 + vpor %ymm0,%ymm7,%ymm7 + # x9 += x14, x4 = rotl32(x4 ^ x9, 12) + vpaddd %ymm14,%ymm9,%ymm9 + vpxor %ymm9,%ymm4,%ymm4 + vpslld $12,%ymm4,%ymm0 + vpsrld $20,%ymm4,%ymm4 + vpor %ymm0,%ymm4,%ymm4 + + # x0 += x5, x15 = rotl32(x15 ^ x0, 8) + vpaddd 0x00(%rsp),%ymm5,%ymm0 + vmovdqa %ymm0,0x00(%rsp) + vpxor %ymm0,%ymm15,%ymm15 + vpshufb %ymm2,%ymm15,%ymm15 + # x1 += x6, x12 = rotl32(x12 ^ x1, 8) + vpaddd 0x20(%rsp),%ymm6,%ymm0 + vmovdqa %ymm0,0x20(%rsp) + vpxor %ymm0,%ymm12,%ymm12 + vpshufb %ymm2,%ymm12,%ymm12 + # x2 += x7, x13 = rotl32(x13 ^ x2, 8) + vpaddd 0x40(%rsp),%ymm7,%ymm0 + vmovdqa %ymm0,0x40(%rsp) + vpxor %ymm0,%ymm13,%ymm13 + vpshufb %ymm2,%ymm13,%ymm13 + # x3 += x4, x14 = rotl32(x14 ^ x3, 8) + vpaddd 0x60(%rsp),%ymm4,%ymm0 + vmovdqa %ymm0,0x60(%rsp) + vpxor %ymm0,%ymm14,%ymm14 + vpshufb %ymm2,%ymm14,%ymm14 + + # x10 += x15, x5 = rotl32(x5 ^ x10, 7) + vpaddd %ymm15,%ymm10,%ymm10 + vpxor %ymm10,%ymm5,%ymm5 + vpslld $7,%ymm5,%ymm0 + vpsrld $25,%ymm5,%ymm5 + vpor %ymm0,%ymm5,%ymm5 + # x11 += x12, x6 = rotl32(x6 ^ x11, 7) + vpaddd %ymm12,%ymm11,%ymm11 + vpxor %ymm11,%ymm6,%ymm6 + vpslld $7,%ymm6,%ymm0 + vpsrld $25,%ymm6,%ymm6 + vpor %ymm0,%ymm6,%ymm6 + # x8 += x13, x7 = rotl32(x7 ^ x8, 7) + vpaddd %ymm13,%ymm8,%ymm8 + vpxor %ymm8,%ymm7,%ymm7 + vpslld $7,%ymm7,%ymm0 + vpsrld $25,%ymm7,%ymm7 + vpor %ymm0,%ymm7,%ymm7 + # x9 += x14, x4 = rotl32(x4 ^ x9, 7) + vpaddd %ymm14,%ymm9,%ymm9 + vpxor %ymm9,%ymm4,%ymm4 + vpslld $7,%ymm4,%ymm0 + vpsrld $25,%ymm4,%ymm4 + vpor %ymm0,%ymm4,%ymm4 + + dec %ecx + jnz .Ldoubleround8 + + # x0..15[0-3] += s[0..15] + vpbroadcastd 0x00(%rdi),%ymm0 + vpaddd 0x00(%rsp),%ymm0,%ymm0 + vmovdqa %ymm0,0x00(%rsp) + vpbroadcastd 0x04(%rdi),%ymm0 + vpaddd 0x20(%rsp),%ymm0,%ymm0 + vmovdqa %ymm0,0x20(%rsp) + vpbroadcastd 0x08(%rdi),%ymm0 + vpaddd 0x40(%rsp),%ymm0,%ymm0 + vmovdqa %ymm0,0x40(%rsp) + vpbroadcastd 0x0c(%rdi),%ymm0 + vpaddd 0x60(%rsp),%ymm0,%ymm0 + vmovdqa %ymm0,0x60(%rsp) + vpbroadcastd 0x10(%rdi),%ymm0 + vpaddd %ymm0,%ymm4,%ymm4 + vpbroadcastd 0x14(%rdi),%ymm0 + vpaddd %ymm0,%ymm5,%ymm5 + vpbroadcastd 0x18(%rdi),%ymm0 + vpaddd %ymm0,%ymm6,%ymm6 + vpbroadcastd 0x1c(%rdi),%ymm0 + vpaddd %ymm0,%ymm7,%ymm7 + vpbroadcastd 0x20(%rdi),%ymm0 + vpaddd %ymm0,%ymm8,%ymm8 + vpbroadcastd 0x24(%rdi),%ymm0 + vpaddd %ymm0,%ymm9,%ymm9 + vpbroadcastd 0x28(%rdi),%ymm0 + vpaddd %ymm0,%ymm10,%ymm10 + vpbroadcastd 0x2c(%rdi),%ymm0 + vpaddd %ymm0,%ymm11,%ymm11 + vpbroadcastd 0x30(%rdi),%ymm0 + vpaddd %ymm0,%ymm12,%ymm12 + vpbroadcastd 0x34(%rdi),%ymm0 + vpaddd %ymm0,%ymm13,%ymm13 + vpbroadcastd 0x38(%rdi),%ymm0 + vpaddd %ymm0,%ymm14,%ymm14 + vpbroadcastd 0x3c(%rdi),%ymm0 + vpaddd %ymm0,%ymm15,%ymm15 + + # x12 += counter values 0-3 + vpaddd %ymm1,%ymm12,%ymm12 + + # interleave 32-bit words in state n, n+1 + vmovdqa 0x00(%rsp),%ymm0 + vmovdqa 0x20(%rsp),%ymm1 + vpunpckldq %ymm1,%ymm0,%ymm2 + vpunpckhdq %ymm1,%ymm0,%ymm1 + vmovdqa %ymm2,0x00(%rsp) + vmovdqa %ymm1,0x20(%rsp) + vmovdqa 0x40(%rsp),%ymm0 + vmovdqa 0x60(%rsp),%ymm1 + vpunpckldq %ymm1,%ymm0,%ymm2 + vpunpckhdq %ymm1,%ymm0,%ymm1 + vmovdqa %ymm2,0x40(%rsp) + vmovdqa %ymm1,0x60(%rsp) + vmovdqa %ymm4,%ymm0 + vpunpckldq %ymm5,%ymm0,%ymm4 + vpunpckhdq %ymm5,%ymm0,%ymm5 + vmovdqa %ymm6,%ymm0 + vpunpckldq %ymm7,%ymm0,%ymm6 + vpunpckhdq %ymm7,%ymm0,%ymm7 + vmovdqa %ymm8,%ymm0 + vpunpckldq %ymm9,%ymm0,%ymm8 + vpunpckhdq %ymm9,%ymm0,%ymm9 + vmovdqa %ymm10,%ymm0 + vpunpckldq %ymm11,%ymm0,%ymm10 + vpunpckhdq %ymm11,%ymm0,%ymm11 + vmovdqa %ymm12,%ymm0 + vpunpckldq %ymm13,%ymm0,%ymm12 + vpunpckhdq %ymm13,%ymm0,%ymm13 + vmovdqa %ymm14,%ymm0 + vpunpckldq %ymm15,%ymm0,%ymm14 + vpunpckhdq %ymm15,%ymm0,%ymm15 + + # interleave 64-bit words in state n, n+2 + vmovdqa 0x00(%rsp),%ymm0 + vmovdqa 0x40(%rsp),%ymm2 + vpunpcklqdq %ymm2,%ymm0,%ymm1 + vpunpckhqdq %ymm2,%ymm0,%ymm2 + vmovdqa %ymm1,0x00(%rsp) + vmovdqa %ymm2,0x40(%rsp) + vmovdqa 0x20(%rsp),%ymm0 + vmovdqa 0x60(%rsp),%ymm2 + vpunpcklqdq %ymm2,%ymm0,%ymm1 + vpunpckhqdq %ymm2,%ymm0,%ymm2 + vmovdqa %ymm1,0x20(%rsp) + vmovdqa %ymm2,0x60(%rsp) + vmovdqa %ymm4,%ymm0 + vpunpcklqdq %ymm6,%ymm0,%ymm4 + vpunpckhqdq %ymm6,%ymm0,%ymm6 + vmovdqa %ymm5,%ymm0 + vpunpcklqdq %ymm7,%ymm0,%ymm5 + vpunpckhqdq %ymm7,%ymm0,%ymm7 + vmovdqa %ymm8,%ymm0 + vpunpcklqdq %ymm10,%ymm0,%ymm8 + vpunpckhqdq %ymm10,%ymm0,%ymm10 + vmovdqa %ymm9,%ymm0 + vpunpcklqdq %ymm11,%ymm0,%ymm9 + vpunpckhqdq %ymm11,%ymm0,%ymm11 + vmovdqa %ymm12,%ymm0 + vpunpcklqdq %ymm14,%ymm0,%ymm12 + vpunpckhqdq %ymm14,%ymm0,%ymm14 + vmovdqa %ymm13,%ymm0 + vpunpcklqdq %ymm15,%ymm0,%ymm13 + vpunpckhqdq %ymm15,%ymm0,%ymm15 + + # interleave 128-bit words in state n, n+4 + vmovdqa 0x00(%rsp),%ymm0 + vperm2i128 $0x20,%ymm4,%ymm0,%ymm1 + vperm2i128 $0x31,%ymm4,%ymm0,%ymm4 + vmovdqa %ymm1,0x00(%rsp) + vmovdqa 0x20(%rsp),%ymm0 + vperm2i128 $0x20,%ymm5,%ymm0,%ymm1 + vperm2i128 $0x31,%ymm5,%ymm0,%ymm5 + vmovdqa %ymm1,0x20(%rsp) + vmovdqa 0x40(%rsp),%ymm0 + vperm2i128 $0x20,%ymm6,%ymm0,%ymm1 + vperm2i128 $0x31,%ymm6,%ymm0,%ymm6 + vmovdqa %ymm1,0x40(%rsp) + vmovdqa 0x60(%rsp),%ymm0 + vperm2i128 $0x20,%ymm7,%ymm0,%ymm1 + vperm2i128 $0x31,%ymm7,%ymm0,%ymm7 + vmovdqa %ymm1,0x60(%rsp) + vperm2i128 $0x20,%ymm12,%ymm8,%ymm0 + vperm2i128 $0x31,%ymm12,%ymm8,%ymm12 + vmovdqa %ymm0,%ymm8 + vperm2i128 $0x20,%ymm13,%ymm9,%ymm0 + vperm2i128 $0x31,%ymm13,%ymm9,%ymm13 + vmovdqa %ymm0,%ymm9 + vperm2i128 $0x20,%ymm14,%ymm10,%ymm0 + vperm2i128 $0x31,%ymm14,%ymm10,%ymm14 + vmovdqa %ymm0,%ymm10 + vperm2i128 $0x20,%ymm15,%ymm11,%ymm0 + vperm2i128 $0x31,%ymm15,%ymm11,%ymm15 + vmovdqa %ymm0,%ymm11 + + # xor with corresponding input, write to output + vmovdqa 0x00(%rsp),%ymm0 + vpxor 0x0000(%rdx),%ymm0,%ymm0 + vmovdqu %ymm0,0x0000(%rsi) + vmovdqa 0x20(%rsp),%ymm0 + vpxor 0x0080(%rdx),%ymm0,%ymm0 + vmovdqu %ymm0,0x0080(%rsi) + vmovdqa 0x40(%rsp),%ymm0 + vpxor 0x0040(%rdx),%ymm0,%ymm0 + vmovdqu %ymm0,0x0040(%rsi) + vmovdqa 0x60(%rsp),%ymm0 + vpxor 0x00c0(%rdx),%ymm0,%ymm0 + vmovdqu %ymm0,0x00c0(%rsi) + vpxor 0x0100(%rdx),%ymm4,%ymm4 + vmovdqu %ymm4,0x0100(%rsi) + vpxor 0x0180(%rdx),%ymm5,%ymm5 + vmovdqu %ymm5,0x00180(%rsi) + vpxor 0x0140(%rdx),%ymm6,%ymm6 + vmovdqu %ymm6,0x0140(%rsi) + vpxor 0x01c0(%rdx),%ymm7,%ymm7 + vmovdqu %ymm7,0x01c0(%rsi) + vpxor 0x0020(%rdx),%ymm8,%ymm8 + vmovdqu %ymm8,0x0020(%rsi) + vpxor 0x00a0(%rdx),%ymm9,%ymm9 + vmovdqu %ymm9,0x00a0(%rsi) + vpxor 0x0060(%rdx),%ymm10,%ymm10 + vmovdqu %ymm10,0x0060(%rsi) + vpxor 0x00e0(%rdx),%ymm11,%ymm11 + vmovdqu %ymm11,0x00e0(%rsi) + vpxor 0x0120(%rdx),%ymm12,%ymm12 + vmovdqu %ymm12,0x0120(%rsi) + vpxor 0x01a0(%rdx),%ymm13,%ymm13 + vmovdqu %ymm13,0x01a0(%rsi) + vpxor 0x0160(%rdx),%ymm14,%ymm14 + vmovdqu %ymm14,0x0160(%rsi) + vpxor 0x01e0(%rdx),%ymm15,%ymm15 + vmovdqu %ymm15,0x01e0(%rsi) + + vzeroupper + mov %r8,%rsp + ret +ENDPROC(chacha20_asm_8block_xor_avx2) diff --git a/src/crypto/chacha20-ssse3-x86_64.S b/src/crypto/chacha20-ssse3-x86_64.S new file mode 100644 index 0000000..d7600b3 --- /dev/null +++ b/src/crypto/chacha20-ssse3-x86_64.S @@ -0,0 +1,627 @@ +/* + * ChaCha20 256-bit cipher algorithm, RFC7539, x64 SSSE3 functions + * + * Copyright (C) 2015 Martin Willi + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + */ + +#include <linux/linkage.h> + +.data +.align 16 + +ROT8: .octa 0x0e0d0c0f0a09080b0605040702010003 +ROT16: .octa 0x0d0c0f0e09080b0a0504070601000302 +CTRINC: .octa 0x00000003000000020000000100000000 + +.text + +ENTRY(chacha20_asm_block_xor_ssse3) + # %rdi: Input state matrix, s + # %rsi: 1 data block output, o + # %rdx: 1 data block input, i + + # This function encrypts one ChaCha20 block by loading the state matrix + # in four SSE registers. It performs matrix operation on four words in + # parallel, but requireds shuffling to rearrange the words after each + # round. 8/16-bit word rotation is done with the slightly better + # performing SSSE3 byte shuffling, 7/12-bit word rotation uses + # traditional shift+OR. + + # x0..3 = s0..3 + movdqa 0x00(%rdi),%xmm0 + movdqa 0x10(%rdi),%xmm1 + movdqa 0x20(%rdi),%xmm2 + movdqa 0x30(%rdi),%xmm3 + movdqa %xmm0,%xmm8 + movdqa %xmm1,%xmm9 + movdqa %xmm2,%xmm10 + movdqa %xmm3,%xmm11 + + movdqa ROT8(%rip),%xmm4 + movdqa ROT16(%rip),%xmm5 + + mov $10,%ecx + +.Ldoubleround: + + # x0 += x1, x3 = rotl32(x3 ^ x0, 16) + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 + pshufb %xmm5,%xmm3 + + # x2 += x3, x1 = rotl32(x1 ^ x2, 12) + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm6 + pslld $12,%xmm6 + psrld $20,%xmm1 + por %xmm6,%xmm1 + + # x0 += x1, x3 = rotl32(x3 ^ x0, 8) + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 + pshufb %xmm4,%xmm3 + + # x2 += x3, x1 = rotl32(x1 ^ x2, 7) + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm7 + pslld $7,%xmm7 + psrld $25,%xmm1 + por %xmm7,%xmm1 + + # x1 = shuffle32(x1, MASK(0, 3, 2, 1)) + pshufd $0x39,%xmm1,%xmm1 + # x2 = shuffle32(x2, MASK(1, 0, 3, 2)) + pshufd $0x4e,%xmm2,%xmm2 + # x3 = shuffle32(x3, MASK(2, 1, 0, 3)) + pshufd $0x93,%xmm3,%xmm3 + + # x0 += x1, x3 = rotl32(x3 ^ x0, 16) + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 + pshufb %xmm5,%xmm3 + + # x2 += x3, x1 = rotl32(x1 ^ x2, 12) + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm6 + pslld $12,%xmm6 + psrld $20,%xmm1 + por %xmm6,%xmm1 + + # x0 += x1, x3 = rotl32(x3 ^ x0, 8) + paddd %xmm1,%xmm0 + pxor %xmm0,%xmm3 + pshufb %xmm4,%xmm3 + + # x2 += x3, x1 = rotl32(x1 ^ x2, 7) + paddd %xmm3,%xmm2 + pxor %xmm2,%xmm1 + movdqa %xmm1,%xmm7 + pslld $7,%xmm7 + psrld $25,%xmm1 + por %xmm7,%xmm1 + + # x1 = shuffle32(x1, MASK(2, 1, 0, 3)) + pshufd $0x93,%xmm1,%xmm1 + # x2 = shuffle32(x2, MASK(1, 0, 3, 2)) + pshufd $0x4e,%xmm2,%xmm2 + # x3 = shuffle32(x3, MASK(0, 3, 2, 1)) + pshufd $0x39,%xmm3,%xmm3 + + dec %ecx + jnz .Ldoubleround + + # o0 = i0 ^ (x0 + s0) + movdqu 0x00(%rdx),%xmm4 + paddd %xmm8,%xmm0 + pxor %xmm4,%xmm0 + movdqu %xmm0,0x00(%rsi) + # o1 = i1 ^ (x1 + s1) + movdqu 0x10(%rdx),%xmm5 + paddd %xmm9,%xmm1 + pxor %xmm5,%xmm1 + movdqu %xmm1,0x10(%rsi) + # o2 = i2 ^ (x2 + s2) + movdqu 0x20(%rdx),%xmm6 + paddd %xmm10,%xmm2 + pxor %xmm6,%xmm2 + movdqu %xmm2,0x20(%rsi) + # o3 = i3 ^ (x3 + s3) + movdqu 0x30(%rdx),%xmm7 + paddd %xmm11,%xmm3 + pxor %xmm7,%xmm3 + movdqu %xmm3,0x30(%rsi) + + ret +ENDPROC(chacha20_asm_block_xor_ssse3) + +ENTRY(chacha20_asm_4block_xor_ssse3) + # %rdi: Input state matrix, s + # %rsi: 4 data blocks output, o + # %rdx: 4 data blocks input, i + + # This function encrypts four consecutive ChaCha20 blocks by loading the + # the state matrix in SSE registers four times. As we need some scratch + # registers, we save the first four registers on the stack. The + # algorithm performs each operation on the corresponding word of each + # state matrix, hence requires no word shuffling. For final XORing step + # we transpose the matrix by interleaving 32- and then 64-bit words, + # which allows us to do XOR in SSE registers. 8/16-bit word rotation is + # done with the slightly better performing SSSE3 byte shuffling, + # 7/12-bit word rotation uses traditional shift+OR. + + mov %rsp,%r11 + sub $0x80,%rsp + and $~63,%rsp + + # x0..15[0-3] = s0..3[0..3] + movq 0x00(%rdi),%xmm1 + pshufd $0x00,%xmm1,%xmm0 + pshufd $0x55,%xmm1,%xmm1 + movq 0x08(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + movq 0x10(%rdi),%xmm5 + pshufd $0x00,%xmm5,%xmm4 + pshufd $0x55,%xmm5,%xmm5 + movq 0x18(%rdi),%xmm7 + pshufd $0x00,%xmm7,%xmm6 + pshufd $0x55,%xmm7,%xmm7 + movq 0x20(%rdi),%xmm9 + pshufd $0x00,%xmm9,%xmm8 + pshufd $0x55,%xmm9,%xmm9 + movq 0x28(%rdi),%xmm11 + pshufd $0x00,%xmm11,%xmm10 + pshufd $0x55,%xmm11,%xmm11 + movq 0x30(%rdi),%xmm13 + pshufd $0x00,%xmm13,%xmm12 + pshufd $0x55,%xmm13,%xmm13 + movq 0x38(%rdi),%xmm15 + pshufd $0x00,%xmm15,%xmm14 + pshufd $0x55,%xmm15,%xmm15 + # x0..3 on stack + movdqa %xmm0,0x00(%rsp) + movdqa %xmm1,0x10(%rsp) + movdqa %xmm2,0x20(%rsp) + movdqa %xmm3,0x30(%rsp) + + movdqa CTRINC(%rip),%xmm1 + movdqa ROT8(%rip),%xmm2 + movdqa ROT16(%rip),%xmm3 + + # x12 += counter values 0-3 + paddd %xmm1,%xmm12 + + mov $10,%ecx + +.Ldoubleround4: + # x0 += x4, x12 = rotl32(x12 ^ x0, 16) + movdqa 0x00(%rsp),%xmm0 + paddd %xmm4,%xmm0 + movdqa %xmm0,0x00(%rsp) + pxor %xmm0,%xmm12 + pshufb %xmm3,%xmm12 + # x1 += x5, x13 = rotl32(x13 ^ x1, 16) + movdqa 0x10(%rsp),%xmm0 + paddd %xmm5,%xmm0 + movdqa %xmm0,0x10(%rsp) + pxor %xmm0,%xmm13 + pshufb %xmm3,%xmm13 + # x2 += x6, x14 = rotl32(x14 ^ x2, 16) + movdqa 0x20(%rsp),%xmm0 + paddd %xmm6,%xmm0 + movdqa %xmm0,0x20(%rsp) + pxor %xmm0,%xmm14 + pshufb %xmm3,%xmm14 + # x3 += x7, x15 = rotl32(x15 ^ x3, 16) + movdqa 0x30(%rsp),%xmm0 + paddd %xmm7,%xmm0 + movdqa %xmm0,0x30(%rsp) + pxor %xmm0,%xmm15 + pshufb %xmm3,%xmm15 + + # x8 += x12, x4 = rotl32(x4 ^ x8, 12) + paddd %xmm12,%xmm8 + pxor %xmm8,%xmm4 + movdqa %xmm4,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm4 + por %xmm0,%xmm4 + # x9 += x13, x5 = rotl32(x5 ^ x9, 12) + paddd %xmm13,%xmm9 + pxor %xmm9,%xmm5 + movdqa %xmm5,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm5 + por %xmm0,%xmm5 + # x10 += x14, x6 = rotl32(x6 ^ x10, 12) + paddd %xmm14,%xmm10 + pxor %xmm10,%xmm6 + movdqa %xmm6,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm6 + por %xmm0,%xmm6 + # x11 += x15, x7 = rotl32(x7 ^ x11, 12) + paddd %xmm15,%xmm11 + pxor %xmm11,%xmm7 + movdqa %xmm7,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm7 + por %xmm0,%xmm7 + + # x0 += x4, x12 = rotl32(x12 ^ x0, 8) + movdqa 0x00(%rsp),%xmm0 + paddd %xmm4,%xmm0 + movdqa %xmm0,0x00(%rsp) + pxor %xmm0,%xmm12 + pshufb %xmm2,%xmm12 + # x1 += x5, x13 = rotl32(x13 ^ x1, 8) + movdqa 0x10(%rsp),%xmm0 + paddd %xmm5,%xmm0 + movdqa %xmm0,0x10(%rsp) + pxor %xmm0,%xmm13 + pshufb %xmm2,%xmm13 + # x2 += x6, x14 = rotl32(x14 ^ x2, 8) + movdqa 0x20(%rsp),%xmm0 + paddd %xmm6,%xmm0 + movdqa %xmm0,0x20(%rsp) + pxor %xmm0,%xmm14 + pshufb %xmm2,%xmm14 + # x3 += x7, x15 = rotl32(x15 ^ x3, 8) + movdqa 0x30(%rsp),%xmm0 + paddd %xmm7,%xmm0 + movdqa %xmm0,0x30(%rsp) + pxor %xmm0,%xmm15 + pshufb %xmm2,%xmm15 + + # x8 += x12, x4 = rotl32(x4 ^ x8, 7) + paddd %xmm12,%xmm8 + pxor %xmm8,%xmm4 + movdqa %xmm4,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm4 + por %xmm0,%xmm4 + # x9 += x13, x5 = rotl32(x5 ^ x9, 7) + paddd %xmm13,%xmm9 + pxor %xmm9,%xmm5 + movdqa %xmm5,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm5 + por %xmm0,%xmm5 + # x10 += x14, x6 = rotl32(x6 ^ x10, 7) + paddd %xmm14,%xmm10 + pxor %xmm10,%xmm6 + movdqa %xmm6,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm6 + por %xmm0,%xmm6 + # x11 += x15, x7 = rotl32(x7 ^ x11, 7) + paddd %xmm15,%xmm11 + pxor %xmm11,%xmm7 + movdqa %xmm7,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm7 + por %xmm0,%xmm7 + + # x0 += x5, x15 = rotl32(x15 ^ x0, 16) + movdqa 0x00(%rsp),%xmm0 + paddd %xmm5,%xmm0 + movdqa %xmm0,0x00(%rsp) + pxor %xmm0,%xmm15 + pshufb %xmm3,%xmm15 + # x1 += x6, x12 = rotl32(x12 ^ x1, 16) + movdqa 0x10(%rsp),%xmm0 + paddd %xmm6,%xmm0 + movdqa %xmm0,0x10(%rsp) + pxor %xmm0,%xmm12 + pshufb %xmm3,%xmm12 + # x2 += x7, x13 = rotl32(x13 ^ x2, 16) + movdqa 0x20(%rsp),%xmm0 + paddd %xmm7,%xmm0 + movdqa %xmm0,0x20(%rsp) + pxor %xmm0,%xmm13 + pshufb %xmm3,%xmm13 + # x3 += x4, x14 = rotl32(x14 ^ x3, 16) + movdqa 0x30(%rsp),%xmm0 + paddd %xmm4,%xmm0 + movdqa %xmm0,0x30(%rsp) + pxor %xmm0,%xmm14 + pshufb %xmm3,%xmm14 + + # x10 += x15, x5 = rotl32(x5 ^ x10, 12) + paddd %xmm15,%xmm10 + pxor %xmm10,%xmm5 + movdqa %xmm5,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm5 + por %xmm0,%xmm5 + # x11 += x12, x6 = rotl32(x6 ^ x11, 12) + paddd %xmm12,%xmm11 + pxor %xmm11,%xmm6 + movdqa %xmm6,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm6 + por %xmm0,%xmm6 + # x8 += x13, x7 = rotl32(x7 ^ x8, 12) + paddd %xmm13,%xmm8 + pxor %xmm8,%xmm7 + movdqa %xmm7,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm7 + por %xmm0,%xmm7 + # x9 += x14, x4 = rotl32(x4 ^ x9, 12) + paddd %xmm14,%xmm9 + pxor %xmm9,%xmm4 + movdqa %xmm4,%xmm0 + pslld $12,%xmm0 + psrld $20,%xmm4 + por %xmm0,%xmm4 + + # x0 += x5, x15 = rotl32(x15 ^ x0, 8) + movdqa 0x00(%rsp),%xmm0 + paddd %xmm5,%xmm0 + movdqa %xmm0,0x00(%rsp) + pxor %xmm0,%xmm15 + pshufb %xmm2,%xmm15 + # x1 += x6, x12 = rotl32(x12 ^ x1, 8) + movdqa 0x10(%rsp),%xmm0 + paddd %xmm6,%xmm0 + movdqa %xmm0,0x10(%rsp) + pxor %xmm0,%xmm12 + pshufb %xmm2,%xmm12 + # x2 += x7, x13 = rotl32(x13 ^ x2, 8) + movdqa 0x20(%rsp),%xmm0 + paddd %xmm7,%xmm0 + movdqa %xmm0,0x20(%rsp) + pxor %xmm0,%xmm13 + pshufb %xmm2,%xmm13 + # x3 += x4, x14 = rotl32(x14 ^ x3, 8) + movdqa 0x30(%rsp),%xmm0 + paddd %xmm4,%xmm0 + movdqa %xmm0,0x30(%rsp) + pxor %xmm0,%xmm14 + pshufb %xmm2,%xmm14 + + # x10 += x15, x5 = rotl32(x5 ^ x10, 7) + paddd %xmm15,%xmm10 + pxor %xmm10,%xmm5 + movdqa %xmm5,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm5 + por %xmm0,%xmm5 + # x11 += x12, x6 = rotl32(x6 ^ x11, 7) + paddd %xmm12,%xmm11 + pxor %xmm11,%xmm6 + movdqa %xmm6,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm6 + por %xmm0,%xmm6 + # x8 += x13, x7 = rotl32(x7 ^ x8, 7) + paddd %xmm13,%xmm8 + pxor %xmm8,%xmm7 + movdqa %xmm7,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm7 + por %xmm0,%xmm7 + # x9 += x14, x4 = rotl32(x4 ^ x9, 7) + paddd %xmm14,%xmm9 + pxor %xmm9,%xmm4 + movdqa %xmm4,%xmm0 + pslld $7,%xmm0 + psrld $25,%xmm4 + por %xmm0,%xmm4 + + dec %ecx + jnz .Ldoubleround4 + + # x0[0-3] += s0[0] + # x1[0-3] += s0[1] + movq 0x00(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd 0x00(%rsp),%xmm2 + movdqa %xmm2,0x00(%rsp) + paddd 0x10(%rsp),%xmm3 + movdqa %xmm3,0x10(%rsp) + # x2[0-3] += s0[2] + # x3[0-3] += s0[3] + movq 0x08(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd 0x20(%rsp),%xmm2 + movdqa %xmm2,0x20(%rsp) + paddd 0x30(%rsp),%xmm3 + movdqa %xmm3,0x30(%rsp) + + # x4[0-3] += s1[0] + # x5[0-3] += s1[1] + movq 0x10(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm4 + paddd %xmm3,%xmm5 + # x6[0-3] += s1[2] + # x7[0-3] += s1[3] + movq 0x18(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm6 + paddd %xmm3,%xmm7 + + # x8[0-3] += s2[0] + # x9[0-3] += s2[1] + movq 0x20(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm8 + paddd %xmm3,%xmm9 + # x10[0-3] += s2[2] + # x11[0-3] += s2[3] + movq 0x28(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm10 + paddd %xmm3,%xmm11 + + # x12[0-3] += s3[0] + # x13[0-3] += s3[1] + movq 0x30(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm12 + paddd %xmm3,%xmm13 + # x14[0-3] += s3[2] + # x15[0-3] += s3[3] + movq 0x38(%rdi),%xmm3 + pshufd $0x00,%xmm3,%xmm2 + pshufd $0x55,%xmm3,%xmm3 + paddd %xmm2,%xmm14 + paddd %xmm3,%xmm15 + + # x12 += counter values 0-3 + paddd %xmm1,%xmm12 + + # interleave 32-bit words in state n, n+1 + movdqa 0x00(%rsp),%xmm0 + movdqa 0x10(%rsp),%xmm1 + movdqa %xmm0,%xmm2 + punpckldq %xmm1,%xmm2 + punpckhdq %xmm1,%xmm0 + movdqa %xmm2,0x00(%rsp) + movdqa %xmm0,0x10(%rsp) + movdqa 0x20(%rsp),%xmm0 + movdqa 0x30(%rsp),%xmm1 + movdqa %xmm0,%xmm2 + punpckldq %xmm1,%xmm2 + punpckhdq %xmm1,%xmm0 + movdqa %xmm2,0x20(%rsp) + movdqa %xmm0,0x30(%rsp) + movdqa %xmm4,%xmm0 + punpckldq %xmm5,%xmm4 + punpckhdq %xmm5,%xmm0 + movdqa %xmm0,%xmm5 + movdqa %xmm6,%xmm0 + punpckldq %xmm7,%xmm6 + punpckhdq %xmm7,%xmm0 + movdqa %xmm0,%xmm7 + movdqa %xmm8,%xmm0 + punpckldq %xmm9,%xmm8 + punpckhdq %xmm9,%xmm0 + movdqa %xmm0,%xmm9 + movdqa %xmm10,%xmm0 + punpckldq %xmm11,%xmm10 + punpckhdq %xmm11,%xmm0 + movdqa %xmm0,%xmm11 + movdqa %xmm12,%xmm0 + punpckldq %xmm13,%xmm12 + punpckhdq %xmm13,%xmm0 + movdqa %xmm0,%xmm13 + movdqa %xmm14,%xmm0 + punpckldq %xmm15,%xmm14 + punpckhdq %xmm15,%xmm0 + movdqa %xmm0,%xmm15 + + # interleave 64-bit words in state n, n+2 + movdqa 0x00(%rsp),%xmm0 + movdqa 0x20(%rsp),%xmm1 + movdqa %xmm0,%xmm2 + punpcklqdq %xmm1,%xmm2 + punpckhqdq %xmm1,%xmm0 + movdqa %xmm2,0x00(%rsp) + movdqa %xmm0,0x20(%rsp) + movdqa 0x10(%rsp),%xmm0 + movdqa 0x30(%rsp),%xmm1 + movdqa %xmm0,%xmm2 + punpcklqdq %xmm1,%xmm2 + punpckhqdq %xmm1,%xmm0 + movdqa %xmm2,0x10(%rsp) + movdqa %xmm0,0x30(%rsp) + movdqa %xmm4,%xmm0 + punpcklqdq %xmm6,%xmm4 + punpckhqdq %xmm6,%xmm0 + movdqa %xmm0,%xmm6 + movdqa %xmm5,%xmm0 + punpcklqdq %xmm7,%xmm5 + punpckhqdq %xmm7,%xmm0 + movdqa %xmm0,%xmm7 + movdqa %xmm8,%xmm0 + punpcklqdq %xmm10,%xmm8 + punpckhqdq %xmm10,%xmm0 + movdqa %xmm0,%xmm10 + movdqa %xmm9,%xmm0 + punpcklqdq %xmm11,%xmm9 + punpckhqdq %xmm11,%xmm0 + movdqa %xmm0,%xmm11 + movdqa %xmm12,%xmm0 + punpcklqdq %xmm14,%xmm12 + punpckhqdq %xmm14,%xmm0 + movdqa %xmm0,%xmm14 + movdqa %xmm13,%xmm0 + punpcklqdq %xmm15,%xmm13 + punpckhqdq %xmm15,%xmm0 + movdqa %xmm0,%xmm15 + + # xor with corresponding input, write to output + movdqa 0x00(%rsp),%xmm0 + movdqu 0x00(%rdx),%xmm1 + pxor %xmm1,%xmm0 + movdqu %xmm0,0x00(%rsi) + movdqa 0x10(%rsp),%xmm0 + movdqu 0x80(%rdx),%xmm1 + pxor %xmm1,%xmm0 + movdqu %xmm0,0x80(%rsi) + movdqa 0x20(%rsp),%xmm0 + movdqu 0x40(%rdx),%xmm1 + pxor %xmm1,%xmm0 + movdqu %xmm0,0x40(%rsi) + movdqa 0x30(%rsp),%xmm0 + movdqu 0xc0(%rdx),%xmm1 + pxor %xmm1,%xmm0 + movdqu %xmm0,0xc0(%rsi) + movdqu 0x10(%rdx),%xmm1 + pxor %xmm1,%xmm4 + movdqu %xmm4,0x10(%rsi) + movdqu 0x90(%rdx),%xmm1 + pxor %xmm1,%xmm5 + movdqu %xmm5,0x90(%rsi) + movdqu 0x50(%rdx),%xmm1 + pxor %xmm1,%xmm6 + movdqu %xmm6,0x50(%rsi) + movdqu 0xd0(%rdx),%xmm1 + pxor %xmm1,%xmm7 + movdqu %xmm7,0xd0(%rsi) + movdqu 0x20(%rdx),%xmm1 + pxor %xmm1,%xmm8 + movdqu %xmm8,0x20(%rsi) + movdqu 0xa0(%rdx),%xmm1 + pxor %xmm1,%xmm9 + movdqu %xmm9,0xa0(%rsi) + movdqu 0x60(%rdx),%xmm1 + pxor %xmm1,%xmm10 + movdqu %xmm10,0x60(%rsi) + movdqu 0xe0(%rdx),%xmm1 + pxor %xmm1,%xmm11 + movdqu %xmm11,0xe0(%rsi) + movdqu 0x30(%rdx),%xmm1 + pxor %xmm1,%xmm12 + movdqu %xmm12,0x30(%rsi) + movdqu 0xb0(%rdx),%xmm1 + pxor %xmm1,%xmm13 + movdqu %xmm13,0xb0(%rsi) + movdqu 0x70(%rdx),%xmm1 + pxor %xmm1,%xmm14 + movdqu %xmm14,0x70(%rsi) + movdqu 0xf0(%rdx),%xmm1 + pxor %xmm1,%xmm15 + movdqu %xmm15,0xf0(%rsi) + + mov %r11,%rsp + ret +ENDPROC(chacha20_asm_4block_xor_ssse3) diff --git a/src/crypto/chacha20poly1305.c b/src/crypto/chacha20poly1305.c new file mode 100644 index 0000000..c05fe1c --- /dev/null +++ b/src/crypto/chacha20poly1305.c @@ -0,0 +1,798 @@ +/* + * Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. + * Copyright 2015 Martin Willi. + */ + +#include "../wireguard.h" +#include "chacha20poly1305.h" +#include <linux/kernel.h> +#include <linux/string.h> +#include <linux/version.h> +#include <crypto/algapi.h> +#include <crypto/scatterwalk.h> + +#ifdef CONFIG_X86_64 +#include <asm/cpufeature.h> +#include <asm/processor.h> +#if LINUX_VERSION_CODE >= KERNEL_VERSION(4, 2, 0) +#include <asm/fpu/api.h> +#include <asm/simd.h> +#else +#include <asm/i387.h> +#endif +#ifdef CONFIG_AS_SSSE3 +asmlinkage void chacha20_asm_block_xor_ssse3(u32 *state, u8 *dst, const u8 *src); +asmlinkage void chacha20_asm_4block_xor_ssse3(u32 *state, u8 *dst, const u8 *src); +#endif +#ifdef CONFIG_AS_AVX2 +asmlinkage void chacha20_asm_8block_xor_avx2(u32 *state, u8 *dst, const u8 *src); +#endif +asmlinkage void poly1305_asm_block_sse2(u32 *h, const u8 *src, const u32 *r, unsigned int blocks); +asmlinkage void poly1305_asm_2block_sse2(u32 *h, const u8 *src, const u32 *r, unsigned int blocks, const u32 *u); +#ifdef CONFIG_AS_AVX2 +asmlinkage void poly1305_asm_4block_avx2(u32 *h, const u8 *src, const u32 *r, unsigned int blocks, const u32 *u); +#endif +static bool chacha20poly1305_use_avx2 = false; +static bool chacha20poly1305_use_ssse3 = false; +static bool chacha20poly1305_use_sse2 = false; +void chacha20poly1305_init(void) +{ + chacha20poly1305_use_sse2 = cpu_has_xmm2; + chacha20poly1305_use_ssse3 = boot_cpu_has(X86_FEATURE_SSSE3); + chacha20poly1305_use_avx2 = cpu_has_avx && cpu_has_avx2 && +#if LINUX_VERSION_CODE >= KERNEL_VERSION(4, 4, 0) + cpu_has_xfeatures(XFEATURE_MASK_SSE | XFEATURE_MASK_YMM, NULL); +#else + cpu_has_xfeatures(XSTATE_SSE | XSTATE_YMM, NULL); +#endif +} +#else +void chacha20poly1305_init(void) { } +#endif + +#define CHACHA20_IV_SIZE 16 +#define CHACHA20_KEY_SIZE 32 +#define CHACHA20_BLOCK_SIZE 64 +#define POLY1305_BLOCK_SIZE 16 +#define POLY1305_KEY_SIZE 32 +#define POLY1305_MAC_SIZE 16 + +static inline u32 le32_to_cpuvp(const void *p) +{ + return le32_to_cpup(p); +} + +static inline u32 rotl32(u32 v, u8 n) +{ + return (v << n) | (v >> (sizeof(v) * 8 - n)); +} + +static inline u64 mlt(u64 a, u64 b) +{ + return a * b; +} + +static inline u32 sr(u64 v, u_char n) +{ + return v >> n; +} + +static inline u32 and(u32 v, u32 mask) +{ + return v & mask; +} + + +struct chacha20_ctx { + u32 state[16]; +} __aligned(32); + +static void chacha20_generic_block(struct chacha20_ctx *ctx, void *stream) +{ + u32 x[CHACHA20_BLOCK_SIZE / sizeof(u32)]; + __le32 *out = stream; + int i; + + for (i = 0; i < ARRAY_SIZE(x); i++) + x[i] = ctx->state[i]; + + for (i = 0; i < 20; i += 2) { + x[0] += x[4]; x[12] = rotl32(x[12] ^ x[0], 16); + x[1] += x[5]; x[13] = rotl32(x[13] ^ x[1], 16); + x[2] += x[6]; x[14] = rotl32(x[14] ^ x[2], 16); + x[3] += x[7]; x[15] = rotl32(x[15] ^ x[3], 16); + + x[8] += x[12]; x[4] = rotl32(x[4] ^ x[8], 12); + x[9] += x[13]; x[5] = rotl32(x[5] ^ x[9], 12); + x[10] += x[14]; x[6] = rotl32(x[6] ^ x[10], 12); + x[11] += x[15]; x[7] = rotl32(x[7] ^ x[11], 12); + + x[0] += x[4]; x[12] = rotl32(x[12] ^ x[0], 8); + x[1] += x[5]; x[13] = rotl32(x[13] ^ x[1], 8); + x[2] += x[6]; x[14] = rotl32(x[14] ^ x[2], 8); + x[3] += x[7]; x[15] = rotl32(x[15] ^ x[3], 8); + + x[8] += x[12]; x[4] = rotl32(x[4] ^ x[8], 7); + x[9] += x[13]; x[5] = rotl32(x[5] ^ x[9], 7); + x[10] += x[14]; x[6] = rotl32(x[6] ^ x[10], 7); + x[11] += x[15]; x[7] = rotl32(x[7] ^ x[11], 7); + + x[0] += x[5]; x[15] = rotl32(x[15] ^ x[0], 16); + x[1] += x[6]; x[12] = rotl32(x[12] ^ x[1], 16); + x[2] += x[7]; x[13] = rotl32(x[13] ^ x[2], 16); + x[3] += x[4]; x[14] = rotl32(x[14] ^ x[3], 16); + + x[10] += x[15]; x[5] = rotl32(x[5] ^ x[10], 12); + x[11] += x[12]; x[6] = rotl32(x[6] ^ x[11], 12); + x[8] += x[13]; x[7] = rotl32(x[7] ^ x[8], 12); + x[9] += x[14]; x[4] = rotl32(x[4] ^ x[9], 12); + + x[0] += x[5]; x[15] = rotl32(x[15] ^ x[0], 8); + x[1] += x[6]; x[12] = rotl32(x[12] ^ x[1], 8); + x[2] += x[7]; x[13] = rotl32(x[13] ^ x[2], 8); + x[3] += x[4]; x[14] = rotl32(x[14] ^ x[3], 8); + + x[10] += x[15]; x[5] = rotl32(x[5] ^ x[10], 7); + x[11] += x[12]; x[6] = rotl32(x[6] ^ x[11], 7); + x[8] += x[13]; x[7] = rotl32(x[7] ^ x[8], 7); + x[9] += x[14]; x[4] = rotl32(x[4] ^ x[9], 7); + } + + for (i = 0; i < ARRAY_SIZE(x); i++) + out[i] = cpu_to_le32(x[i] + ctx->state[i]); + + ctx->state[12]++; +} + +static void chacha20_keysetup(struct chacha20_ctx *ctx, const u8 key[32], const u8 nonce[8]) +{ + static const char constant[16] = "expand 32-byte k"; + ctx->state[0] = le32_to_cpuvp(constant + 0); + ctx->state[1] = le32_to_cpuvp(constant + 4); + ctx->state[2] = le32_to_cpuvp(constant + 8); + ctx->state[3] = le32_to_cpuvp(constant + 12); + ctx->state[4] = le32_to_cpuvp(key + 0); + ctx->state[5] = le32_to_cpuvp(key + 4); + ctx->state[6] = le32_to_cpuvp(key + 8); + ctx->state[7] = le32_to_cpuvp(key + 12); + ctx->state[8] = le32_to_cpuvp(key + 16); + ctx->state[9] = le32_to_cpuvp(key + 20); + ctx->state[10] = le32_to_cpuvp(key + 24); + ctx->state[11] = le32_to_cpuvp(key + 28); + ctx->state[12] = 0; + ctx->state[13] = 0; + ctx->state[14] = le32_to_cpuvp(nonce + 0); + ctx->state[15] = le32_to_cpuvp(nonce + 4); +} + +static void chacha20_crypt(struct chacha20_ctx *ctx, u8 *dst, const u8 *src, unsigned int bytes, bool have_simd) +{ + u8 buf[CHACHA20_BLOCK_SIZE]; + + if (!have_simd +#ifdef CONFIG_X86_64 + || !chacha20poly1305_use_ssse3 +#endif + ) + goto no_simd; + +#ifdef CONFIG_X86_64 +#ifdef CONFIG_AS_AVX2 + if (chacha20poly1305_use_avx2) { + while (bytes >= CHACHA20_BLOCK_SIZE * 8) { + chacha20_asm_8block_xor_avx2(ctx->state, dst, src); + bytes -= CHACHA20_BLOCK_SIZE * 8; + src += CHACHA20_BLOCK_SIZE * 8; + dst += CHACHA20_BLOCK_SIZE * 8; + ctx->state[12] += 8; + } + } +#endif +#ifdef CONFIG_AS_SSSE3 + while (bytes >= CHACHA20_BLOCK_SIZE * 4) { + chacha20_asm_4block_xor_ssse3(ctx->state, dst, src); + bytes -= CHACHA20_BLOCK_SIZE * 4; + src += CHACHA20_BLOCK_SIZE * 4; + dst += CHACHA20_BLOCK_SIZE * 4; + ctx->state[12] += 4; + } + while (bytes >= CHACHA20_BLOCK_SIZE) { + chacha20_asm_block_xor_ssse3(ctx->state, dst, src); + bytes -= CHACHA20_BLOCK_SIZE; + src += CHACHA20_BLOCK_SIZE; + dst += CHACHA20_BLOCK_SIZE; + ctx->state[12]++; + } + if (bytes) { + memcpy(buf, src, bytes); + chacha20_asm_block_xor_ssse3(ctx->state, buf, buf); + memcpy(dst, buf, bytes); + } + return; +#endif +#endif + +no_simd: + if (dst != src) + memcpy(dst, src, bytes); + + while (bytes >= CHACHA20_BLOCK_SIZE) { + chacha20_generic_block(ctx, buf); + crypto_xor(dst, buf, CHACHA20_BLOCK_SIZE); + bytes -= CHACHA20_BLOCK_SIZE; + dst += CHACHA20_BLOCK_SIZE; + } + if (bytes) { + chacha20_generic_block(ctx, buf); + crypto_xor(dst, buf, bytes); + } +} + +struct poly1305_ctx { + /* key */ + u32 r[5]; + /* finalize key */ + u32 s[4]; + /* accumulator */ + u32 h[5]; + /* partial buffer */ + u8 buf[POLY1305_BLOCK_SIZE]; + /* bytes used in partial buffer */ + unsigned int buflen; + /* derived key u set? */ + bool uset; + /* derived keys r^3, r^4 set? */ + bool wset; + /* derived Poly1305 key r^2 */ + u32 u[5]; + /* derived Poly1305 key r^3 */ + u32 r3[5]; + /* derived Poly1305 key r^4 */ + u32 r4[5]; +}; + +static void poly1305_init(struct poly1305_ctx *ctx, const u8 key[POLY1305_KEY_SIZE]) +{ + memset(ctx, 0, sizeof(struct poly1305_ctx)); + /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */ + ctx->r[0] = (le32_to_cpuvp(key + 0) >> 0) & 0x3ffffff; + ctx->r[1] = (le32_to_cpuvp(key + 3) >> 2) & 0x3ffff03; + ctx->r[2] = (le32_to_cpuvp(key + 6) >> 4) & 0x3ffc0ff; + ctx->r[3] = (le32_to_cpuvp(key + 9) >> 6) & 0x3f03fff; + ctx->r[4] = (le32_to_cpuvp(key + 12) >> 8) & 0x00fffff; + ctx->s[0] = le32_to_cpuvp(key + 16); + ctx->s[1] = le32_to_cpuvp(key + 20); + ctx->s[2] = le32_to_cpuvp(key + 24); + ctx->s[3] = le32_to_cpuvp(key + 28); +} + +static unsigned int poly1305_generic_blocks(struct poly1305_ctx *ctx, const u8 *src, unsigned int srclen, u32 hibit) +{ + u32 r0, r1, r2, r3, r4; + u32 s1, s2, s3, s4; + u32 h0, h1, h2, h3, h4; + u64 d0, d1, d2, d3, d4; + + r0 = ctx->r[0]; + r1 = ctx->r[1]; + r2 = ctx->r[2]; + r3 = ctx->r[3]; + r4 = ctx->r[4]; + + s1 = r1 * 5; + s2 = r2 * 5; + s3 = r3 * 5; + s4 = r4 * 5; + + h0 = ctx->h[0]; + h1 = ctx->h[1]; + h2 = ctx->h[2]; + h3 = ctx->h[3]; + h4 = ctx->h[4]; + + while (likely(srclen >= POLY1305_BLOCK_SIZE)) { + /* h += m[i] */ + h0 += (le32_to_cpuvp(src + 0) >> 0) & 0x3ffffff; + h1 += (le32_to_cpuvp(src + 3) >> 2) & 0x3ffffff; + h2 += (le32_to_cpuvp(src + 6) >> 4) & 0x3ffffff; + h3 += (le32_to_cpuvp(src + 9) >> 6) & 0x3ffffff; + h4 += (le32_to_cpuvp(src + 12) >> 8) | hibit; + + /* h *= r */ + d0 = mlt(h0, r0) + mlt(h1, s4) + mlt(h2, s3) + mlt(h3, s2) + mlt(h4, s1); + d1 = mlt(h0, r1) + mlt(h1, r0) + mlt(h2, s4) + mlt(h3, s3) + mlt(h4, s2); + d2 = mlt(h0, r2) + mlt(h1, r1) + mlt(h2, r0) + mlt(h3, s4) + mlt(h4, s3); + d3 = mlt(h0, r3) + mlt(h1, r2) + mlt(h2, r1) + mlt(h3, r0) + mlt(h4, s4); + d4 = mlt(h0, r4) + mlt(h1, r3) + mlt(h2, r2) + mlt(h3, r1) + mlt(h4, r0); + + /* (partial) h %= p */ + d1 += sr(d0, 26); h0 = and(d0, 0x3ffffff); + d2 += sr(d1, 26); h1 = and(d1, 0x3ffffff); + d3 += sr(d2, 26); h2 = and(d2, 0x3ffffff); + d4 += sr(d3, 26); h3 = and(d3, 0x3ffffff); + h0 += sr(d4, 26) * 5; h4 = and(d4, 0x3ffffff); + h1 += h0 >> 26; h0 = h0 & 0x3ffffff; + + src += POLY1305_BLOCK_SIZE; + srclen -= POLY1305_BLOCK_SIZE; + } + + ctx->h[0] = h0; + ctx->h[1] = h1; + ctx->h[2] = h2; + ctx->h[3] = h3; + ctx->h[4] = h4; + + return srclen; +} + +#ifdef CONFIG_X86_64 +static void poly1305_simd_mult(u32 *a, const u32 *b) +{ + u8 m[POLY1305_BLOCK_SIZE]; + + memset(m, 0, sizeof(m)); + /* The poly1305 block function adds a hi-bit to the accumulator which + * we don't need for key multiplication; compensate for it. */ + a[4] -= 1 << 24; + poly1305_asm_block_sse2(a, m, b, 1); +} + +static unsigned int poly1305_simd_blocks(struct poly1305_ctx *ctx, const u8 *src, unsigned int srclen) +{ + unsigned int blocks; + +#ifdef CONFIG_AS_AVX2 + if (chacha20poly1305_use_avx2 && srclen >= POLY1305_BLOCK_SIZE * 4) { + if (unlikely(!ctx->wset)) { + if (!ctx->uset) { + memcpy(ctx->u, ctx->r, sizeof(ctx->u)); + poly1305_simd_mult(ctx->u, ctx->r); + ctx->uset = true; + } + memcpy(ctx->r3, ctx->u, sizeof(ctx->u)); + poly1305_simd_mult(ctx->r3, ctx->r); + memcpy(ctx->r4, ctx->r3, sizeof(ctx->u)); + poly1305_simd_mult(ctx->r4, ctx->r); + ctx->wset = true; + } + blocks = srclen / (POLY1305_BLOCK_SIZE * 4); + poly1305_asm_4block_avx2(ctx->h, src, ctx->r, blocks, ctx->u); + src += POLY1305_BLOCK_SIZE * 4 * blocks; + srclen -= POLY1305_BLOCK_SIZE * 4 * blocks; + } +#endif + if (likely(srclen >= POLY1305_BLOCK_SIZE * 2)) { + if (unlikely(!ctx->uset)) { + memcpy(ctx->u, ctx->r, sizeof(ctx->u)); + poly1305_simd_mult(ctx->u, ctx->r); + ctx->uset = true; + } + blocks = srclen / (POLY1305_BLOCK_SIZE * 2); + poly1305_asm_2block_sse2(ctx->h, src, ctx->r, blocks, ctx->u); + src += POLY1305_BLOCK_SIZE * 2 * blocks; + srclen -= POLY1305_BLOCK_SIZE * 2 * blocks; + } + if (srclen >= POLY1305_BLOCK_SIZE) { + poly1305_asm_block_sse2(ctx->h, src, ctx->r, 1); + srclen -= POLY1305_BLOCK_SIZE; + } + return srclen; +} +#endif + +static void poly1305_update(struct poly1305_ctx *ctx, const u8 *src, unsigned int srclen, bool have_simd) +{ + unsigned int bytes; + + if (unlikely(ctx->buflen)) { + bytes = min(srclen, POLY1305_BLOCK_SIZE - ctx->buflen); + memcpy(ctx->buf + ctx->buflen, src, bytes); + src += bytes; + srclen -= bytes; + ctx->buflen += bytes; + + if (ctx->buflen == POLY1305_BLOCK_SIZE) { +#ifdef CONFIG_X86_64 + + if (have_simd && chacha20poly1305_use_sse2) + poly1305_simd_blocks(ctx, ctx->buf, POLY1305_BLOCK_SIZE); + else +#endif + poly1305_generic_blocks(ctx, ctx->buf, POLY1305_BLOCK_SIZE, 1 << 24); + ctx->buflen = 0; + } + } + + if (likely(srclen >= POLY1305_BLOCK_SIZE)) { +#ifdef CONFIG_X86_64 + + if (have_simd && chacha20poly1305_use_sse2) + bytes = poly1305_simd_blocks(ctx, src, srclen); + else +#endif + bytes = poly1305_generic_blocks(ctx, src, srclen, 1 << 24); + src += srclen - bytes; + srclen = bytes; + } + + if (unlikely(srclen)) { + ctx->buflen = srclen; + memcpy(ctx->buf, src, srclen); + } +} + +static void poly1305_finish(struct poly1305_ctx *ctx, u8 *dst) +{ + __le32 *mac = (__le32 *)dst; + u32 h0, h1, h2, h3, h4; + u32 g0, g1, g2, g3, g4; + u32 mask; + u64 f = 0; + + if (unlikely(ctx->buflen)) { + ctx->buf[ctx->buflen++] = 1; + memset(ctx->buf + ctx->buflen, 0, POLY1305_BLOCK_SIZE - ctx->buflen); + poly1305_generic_blocks(ctx, ctx->buf, POLY1305_BLOCK_SIZE, 0); + } + + /* fully carry h */ + h0 = ctx->h[0]; + h1 = ctx->h[1]; + h2 = ctx->h[2]; + h3 = ctx->h[3]; + h4 = ctx->h[4]; + + h2 += (h1 >> 26); h1 = h1 & 0x3ffffff; + h3 += (h2 >> 26); h2 = h2 & 0x3ffffff; + h4 += (h3 >> 26); h3 = h3 & 0x3ffffff; + h0 += (h4 >> 26) * 5; h4 = h4 & 0x3ffffff; + h1 += (h0 >> 26); h0 = h0 & 0x3ffffff; + + /* compute h + -p */ + g0 = h0 + 5; + g1 = h1 + (g0 >> 26); g0 &= 0x3ffffff; + g2 = h2 + (g1 >> 26); g1 &= 0x3ffffff; + g3 = h3 + (g2 >> 26); g2 &= 0x3ffffff; + g4 = h4 + (g3 >> 26) - (1 << 26); g3 &= 0x3ffffff; + + /* select h if h < p, or h + -p if h >= p */ + mask = (g4 >> ((sizeof(u32) * 8) - 1)) - 1; + g0 &= mask; + g1 &= mask; + g2 &= mask; + g3 &= mask; + g4 &= mask; + mask = ~mask; + h0 = (h0 & mask) | g0; + h1 = (h1 & mask) | g1; + h2 = (h2 & mask) | g2; + h3 = (h3 & mask) | g3; + h4 = (h4 & mask) | g4; + + /* h = h % (2^128) */ + h0 = (h0 >> 0) | (h1 << 26); + h1 = (h1 >> 6) | (h2 << 20); + h2 = (h2 >> 12) | (h3 << 14); + h3 = (h3 >> 18) | (h4 << 8); + + /* mac = (h + s) % (2^128) */ + f = (f >> 32) + h0 + ctx->s[0]; mac[0] = cpu_to_le32(f); + f = (f >> 32) + h1 + ctx->s[1]; mac[1] = cpu_to_le32(f); + f = (f >> 32) + h2 + ctx->s[2]; mac[2] = cpu_to_le32(f); + f = (f >> 32) + h3 + ctx->s[3]; mac[3] = cpu_to_le32(f); +} + +static const uint8_t pad0[16] = { 0 }; + +static struct crypto_alg chacha20_alg = { + .cra_blocksize = 1, + .cra_alignmask = sizeof(u32) - 1 +}; +static struct crypto_blkcipher chacha20_cipher = { + .base = { + .__crt_alg = &chacha20_alg + } +}; +static struct blkcipher_desc chacha20_desc = { + .tfm = &chacha20_cipher +}; + +bool chacha20poly1305_encrypt(uint8_t *dst, const uint8_t *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]) +{ + struct poly1305_ctx poly1305_state; + struct chacha20_ctx chacha20_state; + uint8_t block0[CHACHA20_BLOCK_SIZE] = { 0 }; + __le64 len; + __le64 le_nonce = cpu_to_le64(nonce); + bool have_simd = false; + +#ifdef CONFIG_X86_64 + have_simd = irq_fpu_usable(); + if (have_simd) + kernel_fpu_begin(); +#endif + + chacha20_keysetup(&chacha20_state, key, (uint8_t *)&le_nonce); + + chacha20_crypt(&chacha20_state, block0, block0, sizeof(block0), have_simd); + poly1305_init(&poly1305_state, block0); + memzero_explicit(block0, sizeof(block0)); + + poly1305_update(&poly1305_state, ad, ad_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - ad_len) & 0xf, have_simd); + + chacha20_crypt(&chacha20_state, dst, src, src_len, have_simd); + + poly1305_update(&poly1305_state, dst, src_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - src_len) & 0xf, have_simd); + + len = cpu_to_le64(ad_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + len = cpu_to_le64(src_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + poly1305_finish(&poly1305_state, dst + src_len); + + memzero_explicit(&poly1305_state, sizeof(poly1305_state)); + memzero_explicit(&chacha20_state, sizeof(chacha20_state)); + +#ifdef CONFIG_X86_64 + if (have_simd) + kernel_fpu_end(); +#endif + + return true; +} + +bool chacha20poly1305_encrypt_sg(struct scatterlist *dst, struct scatterlist *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]) +{ + struct poly1305_ctx poly1305_state; + struct chacha20_ctx chacha20_state; + struct blkcipher_walk walk; + uint8_t block0[CHACHA20_BLOCK_SIZE] = { 0 }; + uint8_t mac[POLY1305_MAC_SIZE]; + __le64 len; + __le64 le_nonce = cpu_to_le64(nonce); + bool have_simd = false; + +#ifdef CONFIG_X86_64 + have_simd = irq_fpu_usable(); + if (have_simd) + kernel_fpu_begin(); +#endif + + chacha20_keysetup(&chacha20_state, key, (uint8_t *)&le_nonce); + + chacha20_crypt(&chacha20_state, block0, block0, sizeof(block0), have_simd); + poly1305_init(&poly1305_state, block0); + memzero_explicit(block0, sizeof(block0)); + + poly1305_update(&poly1305_state, ad, ad_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - ad_len) & 0xf, have_simd); + + if (likely(src_len)) { + blkcipher_walk_init(&walk, dst, src, src_len); + blkcipher_walk_virt_block(&chacha20_desc, &walk, CHACHA20_BLOCK_SIZE); + while (walk.nbytes >= CHACHA20_BLOCK_SIZE) { + size_t chunk_len = rounddown(walk.nbytes, CHACHA20_BLOCK_SIZE); + chacha20_crypt(&chacha20_state, walk.dst.virt.addr, walk.src.virt.addr, chunk_len, have_simd); + poly1305_update(&poly1305_state, walk.dst.virt.addr, chunk_len, have_simd); + blkcipher_walk_done(&chacha20_desc, &walk, walk.nbytes % CHACHA20_BLOCK_SIZE); + } + if (walk.nbytes) { + chacha20_crypt(&chacha20_state, walk.dst.virt.addr, walk.src.virt.addr, walk.nbytes, have_simd); + poly1305_update(&poly1305_state, walk.dst.virt.addr, walk.nbytes, have_simd); + blkcipher_walk_done(&chacha20_desc, &walk, 0); + } + } + + poly1305_update(&poly1305_state, pad0, (0x10 - src_len) & 0xf, have_simd); + + len = cpu_to_le64(ad_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + len = cpu_to_le64(src_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + poly1305_finish(&poly1305_state, mac); + scatterwalk_map_and_copy(mac, dst, src_len, sizeof(mac), 1); + memzero_explicit(&poly1305_state, sizeof(poly1305_state)); + memzero_explicit(&chacha20_state, sizeof(chacha20_state)); + memzero_explicit(mac, sizeof(mac)); + +#ifdef CONFIG_X86_64 + if (have_simd) + kernel_fpu_end(); +#endif + + return true; +} + +bool chacha20poly1305_decrypt(uint8_t *dst, const uint8_t *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]) +{ + struct poly1305_ctx poly1305_state; + struct chacha20_ctx chacha20_state; + int ret; + uint8_t block0[CHACHA20_BLOCK_SIZE] = { 0 }; + uint8_t mac[POLY1305_MAC_SIZE]; + size_t dst_len; + __le64 len; + __le64 le_nonce = cpu_to_le64(nonce); + bool have_simd = false; + + if (unlikely(src_len < POLY1305_MAC_SIZE)) + return false; + +#ifdef CONFIG_X86_64 + have_simd = irq_fpu_usable(); + if (have_simd) + kernel_fpu_begin(); +#endif + + chacha20_keysetup(&chacha20_state, key, (uint8_t *)&le_nonce); + + chacha20_crypt(&chacha20_state, block0, block0, sizeof(block0), have_simd); + poly1305_init(&poly1305_state, block0); + memzero_explicit(block0, sizeof(block0)); + + poly1305_update(&poly1305_state, ad, ad_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - ad_len) & 0xf, have_simd); + + dst_len = src_len - POLY1305_MAC_SIZE; + poly1305_update(&poly1305_state, src, dst_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - dst_len) & 0xf, have_simd); + + len = cpu_to_le64(ad_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + len = cpu_to_le64(dst_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + poly1305_finish(&poly1305_state, mac); + memzero_explicit(&poly1305_state, sizeof(poly1305_state)); + + ret = crypto_memneq(mac, src + dst_len, POLY1305_MAC_SIZE); + memzero_explicit(mac, POLY1305_MAC_SIZE); + if (likely(!ret)) + chacha20_crypt(&chacha20_state, dst, src, dst_len, have_simd); + + memzero_explicit(&chacha20_state, sizeof(chacha20_state)); +#ifdef CONFIG_X86_64 + if (have_simd) + kernel_fpu_end(); +#endif + return !ret; +} + +bool chacha20poly1305_decrypt_sg(struct scatterlist *dst, struct scatterlist *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]) +{ + struct poly1305_ctx poly1305_state; + struct chacha20_ctx chacha20_state; + struct blkcipher_walk walk; + int ret; + uint8_t block0[CHACHA20_BLOCK_SIZE] = { 0 }; + uint8_t read_mac[POLY1305_MAC_SIZE], computed_mac[POLY1305_MAC_SIZE]; + size_t dst_len; + __le64 len; + __le64 le_nonce = cpu_to_le64(nonce); + bool have_simd = false; + + if (unlikely(src_len < POLY1305_MAC_SIZE)) + return false; + +#ifdef CONFIG_X86_64 + have_simd = irq_fpu_usable(); + if (have_simd) + kernel_fpu_begin(); +#endif + + chacha20_keysetup(&chacha20_state, key, (uint8_t *)&le_nonce); + + chacha20_crypt(&chacha20_state, block0, block0, sizeof(block0), have_simd); + poly1305_init(&poly1305_state, block0); + memzero_explicit(block0, sizeof(block0)); + + poly1305_update(&poly1305_state, ad, ad_len, have_simd); + poly1305_update(&poly1305_state, pad0, (0x10 - ad_len) & 0xf, have_simd); + + dst_len = src_len - POLY1305_MAC_SIZE; + if (likely(dst_len)) { + blkcipher_walk_init(&walk, dst, src, dst_len); + blkcipher_walk_virt_block(&chacha20_desc, &walk, CHACHA20_BLOCK_SIZE); + while (walk.nbytes >= CHACHA20_BLOCK_SIZE) { + size_t chunk_len = rounddown(walk.nbytes, CHACHA20_BLOCK_SIZE); + poly1305_update(&poly1305_state, walk.src.virt.addr, chunk_len, have_simd); + chacha20_crypt(&chacha20_state, walk.dst.virt.addr, walk.src.virt.addr, chunk_len, have_simd); + blkcipher_walk_done(&chacha20_desc, &walk, walk.nbytes % CHACHA20_BLOCK_SIZE); + } + if (walk.nbytes) { + poly1305_update(&poly1305_state, walk.dst.virt.addr, walk.nbytes, have_simd); + chacha20_crypt(&chacha20_state, walk.dst.virt.addr, walk.src.virt.addr, walk.nbytes, have_simd); + blkcipher_walk_done(&chacha20_desc, &walk, 0); + } + } + + poly1305_update(&poly1305_state, pad0, (0x10 - dst_len) & 0xf, have_simd); + + len = cpu_to_le64(ad_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + len = cpu_to_le64(dst_len); + poly1305_update(&poly1305_state, (uint8_t *)&len, sizeof(len), have_simd); + + poly1305_finish(&poly1305_state, computed_mac); + memzero_explicit(&poly1305_state, sizeof(poly1305_state)); + + scatterwalk_map_and_copy(read_mac, src, dst_len, POLY1305_MAC_SIZE, 0); + ret = crypto_memneq(read_mac, computed_mac, POLY1305_MAC_SIZE); + memzero_explicit(read_mac, POLY1305_MAC_SIZE); + memzero_explicit(computed_mac, POLY1305_MAC_SIZE); + memzero_explicit(&chacha20_state, sizeof(chacha20_state)); +#ifdef CONFIG_X86_64 + if (have_simd) + kernel_fpu_end(); +#endif + return !ret; +} + +#ifdef DEBUG +/* ChaCha20-Poly1305 AEAD test vectors from RFC7539 2.8.2 */ +struct chacha20poly1305_testvec { + uint8_t *key, *nonce, *assoc, *input, *result; + size_t alen, ilen; +}; +static const struct chacha20poly1305_testvec chacha20poly1305_enc_vectors[] = { { + .key = "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a\xf3\x33\x88\x86\x04\xf6\xb5\xf0\x47\x39\x17\xc1\x40\x2b\x80\x09\x9d\xca\x5c\xbc\x20\x70\x75\xc0", + .nonce = "\x01\x02\x03\x04\x05\x06\x07\x08", + .assoc = "\xf3\x33\x88\x86\x00\x00\x00\x00\x00\x00\x4e\x91", + .alen = 12, + .input = "\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x72\x65\x20\x64\x72\x61\x66\x74\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x76\x61\x6c\x69\x64\x20\x66\x6f\x72\x20\x61\x20\x6d\x61\x78\x69\x6d\x75\x6d\x20\x6f\x66\x20\x73\x69\x78\x20\x6d\x6f\x6e\x74\x68\x73\x20\x61\x6e\x64\x20\x6d\x61\x79\x20\x62\x65\x20\x75\x70\x64\x61\x74\x65\x64\x2c\x20\x72\x65\x70\x6c\x61\x63\x65\x64\x2c\x20\x6f\x72\x20\x6f\x62\x73\x6f\x6c\x65\x74\x65\x64\x20\x62\x79\x20\x6f\x74\x68\x65\x72\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x61\x74\x20\x61\x6e\x79\x20\x74\x69\x6d\x65\x2e\x20\x49\x74\x20\x69\x73\x20\x69\x6e\x61\x70\x70\x72\x6f\x70\x72\x69\x61\x74\x65\x20\x74\x6f\x20\x75\x73\x65\x20\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x73\x20\x72\x65\x66\x65\x72\x65\x6e\x63\x65\x20\x6d\x61\x74\x65\x72\x69\x61\x6c\x20\x6f\x72\x20\x74\x6f\x20\x63\x69\x74\x65\x20\x74\x68\x65\x6d\x20\x6f\x74\x68\x65\x72\x20\x74\x68\x61\x6e\x20\x61\x73\x20\x2f\xe2\x80\x9c\x77\x6f\x72\x6b\x20\x69\x6e\x20\x70\x72\x6f\x67\x72\x65\x73\x73\x2e\x2f\xe2\x80\x9d", + .ilen = 265, + .result = "\x64\xa0\x86\x15\x75\x86\x1a\xf4\x60\xf0\x62\xc7\x9b\xe6\x43\xbd\x5e\x80\x5c\xfd\x34\x5c\xf3\x89\xf1\x08\x67\x0a\xc7\x6c\x8c\xb2\x4c\x6c\xfc\x18\x75\x5d\x43\xee\xa0\x9e\xe9\x4e\x38\x2d\x26\xb0\xbd\xb7\xb7\x3c\x32\x1b\x01\x00\xd4\xf0\x3b\x7f\x35\x58\x94\xcf\x33\x2f\x83\x0e\x71\x0b\x97\xce\x98\xc8\xa8\x4a\xbd\x0b\x94\x81\x14\xad\x17\x6e\x00\x8d\x33\xbd\x60\xf9\x82\xb1\xff\x37\xc8\x55\x97\x97\xa0\x6e\xf4\xf0\xef\x61\xc1\x86\x32\x4e\x2b\x35\x06\x38\x36\x06\x90\x7b\x6a\x7c\x02\xb0\xf9\xf6\x15\x7b\x53\xc8\x67\xe4\xb9\x16\x6c\x76\x7b\x80\x4d\x46\xa5\x9b\x52\x16\xcd\xe7\xa4\xe9\x90\x40\xc5\xa4\x04\x33\x22\x5e\xe2\x82\xa1\xb0\xa0\x6c\x52\x3e\xaf\x45\x34\xd7\xf8\x3f\xa1\x15\x5b\x00\x47\x71\x8c\xbc\x54\x6a\x0d\x07\x2b\x04\xb3\x56\x4e\xea\x1b\x42\x22\x73\xf5\x48\x27\x1a\x0b\xb2\x31\x60\x53\xfa\x76\x99\x19\x55\xeb\xd6\x31\x59\x43\x4e\xce\xbb\x4e\x46\x6d\xae\x5a\x10\x73\xa6\x72\x76\x27\x09\x7a\x10\x49\xe6\x17\xd9\x1d\x36\x10\x94\xfa\x68\xf0\xff\x77\x98\x71\x30\x30\x5b\xea\xba\x2e\xda\x04\xdf\x99\x7b\x71\x4d\x6c\x6f\x2c\x29\xa6\xad\x5c\xb4\x02\x2b\x02\x70\x9b\xee\xad\x9d\x67\x89\x0c\xbb\x22\x39\x23\x36\xfe\xa1\x85\x1f\x38" +} }; +static const struct chacha20poly1305_testvec chacha20poly1305_dec_vectors[] = { { + .key = "\x1c\x92\x40\xa5\xeb\x55\xd3\x8a\xf3\x33\x88\x86\x04\xf6\xb5\xf0\x47\x39\x17\xc1\x40\x2b\x80\x09\x9d\xca\x5c\xbc\x20\x70\x75\xc0", + .nonce = "\x01\x02\x03\x04\x05\x06\x07\x08", + .assoc = "\xf3\x33\x88\x86\x00\x00\x00\x00\x00\x00\x4e\x91", + .alen = 12, + .input = "\x64\xa0\x86\x15\x75\x86\x1a\xf4\x60\xf0\x62\xc7\x9b\xe6\x43\xbd\x5e\x80\x5c\xfd\x34\x5c\xf3\x89\xf1\x08\x67\x0a\xc7\x6c\x8c\xb2\x4c\x6c\xfc\x18\x75\x5d\x43\xee\xa0\x9e\xe9\x4e\x38\x2d\x26\xb0\xbd\xb7\xb7\x3c\x32\x1b\x01\x00\xd4\xf0\x3b\x7f\x35\x58\x94\xcf\x33\x2f\x83\x0e\x71\x0b\x97\xce\x98\xc8\xa8\x4a\xbd\x0b\x94\x81\x14\xad\x17\x6e\x00\x8d\x33\xbd\x60\xf9\x82\xb1\xff\x37\xc8\x55\x97\x97\xa0\x6e\xf4\xf0\xef\x61\xc1\x86\x32\x4e\x2b\x35\x06\x38\x36\x06\x90\x7b\x6a\x7c\x02\xb0\xf9\xf6\x15\x7b\x53\xc8\x67\xe4\xb9\x16\x6c\x76\x7b\x80\x4d\x46\xa5\x9b\x52\x16\xcd\xe7\xa4\xe9\x90\x40\xc5\xa4\x04\x33\x22\x5e\xe2\x82\xa1\xb0\xa0\x6c\x52\x3e\xaf\x45\x34\xd7\xf8\x3f\xa1\x15\x5b\x00\x47\x71\x8c\xbc\x54\x6a\x0d\x07\x2b\x04\xb3\x56\x4e\xea\x1b\x42\x22\x73\xf5\x48\x27\x1a\x0b\xb2\x31\x60\x53\xfa\x76\x99\x19\x55\xeb\xd6\x31\x59\x43\x4e\xce\xbb\x4e\x46\x6d\xae\x5a\x10\x73\xa6\x72\x76\x27\x09\x7a\x10\x49\xe6\x17\xd9\x1d\x36\x10\x94\xfa\x68\xf0\xff\x77\x98\x71\x30\x30\x5b\xea\xba\x2e\xda\x04\xdf\x99\x7b\x71\x4d\x6c\x6f\x2c\x29\xa6\xad\x5c\xb4\x02\x2b\x02\x70\x9b\xee\xad\x9d\x67\x89\x0c\xbb\x22\x39\x23\x36\xfe\xa1\x85\x1f\x38", + .ilen = 281, + .result = "\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x72\x65\x20\x64\x72\x61\x66\x74\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x76\x61\x6c\x69\x64\x20\x66\x6f\x72\x20\x61\x20\x6d\x61\x78\x69\x6d\x75\x6d\x20\x6f\x66\x20\x73\x69\x78\x20\x6d\x6f\x6e\x74\x68\x73\x20\x61\x6e\x64\x20\x6d\x61\x79\x20\x62\x65\x20\x75\x70\x64\x61\x74\x65\x64\x2c\x20\x72\x65\x70\x6c\x61\x63\x65\x64\x2c\x20\x6f\x72\x20\x6f\x62\x73\x6f\x6c\x65\x74\x65\x64\x20\x62\x79\x20\x6f\x74\x68\x65\x72\x20\x64\x6f\x63\x75\x6d\x65\x6e\x74\x73\x20\x61\x74\x20\x61\x6e\x79\x20\x74\x69\x6d\x65\x2e\x20\x49\x74\x20\x69\x73\x20\x69\x6e\x61\x70\x70\x72\x6f\x70\x72\x69\x61\x74\x65\x20\x74\x6f\x20\x75\x73\x65\x20\x49\x6e\x74\x65\x72\x6e\x65\x74\x2d\x44\x72\x61\x66\x74\x73\x20\x61\x73\x20\x72\x65\x66\x65\x72\x65\x6e\x63\x65\x20\x6d\x61\x74\x65\x72\x69\x61\x6c\x20\x6f\x72\x20\x74\x6f\x20\x63\x69\x74\x65\x20\x74\x68\x65\x6d\x20\x6f\x74\x68\x65\x72\x20\x74\x68\x61\x6e\x20\x61\x73\x20\x2f\xe2\x80\x9c\x77\x6f\x72\x6b\x20\x69\x6e\x20\x70\x72\x6f\x67\x72\x65\x73\x73\x2e\x2f\xe2\x80\x9d" +} }; + +void chacha20poly1305_selftest(void) +{ + size_t i; + uint8_t computed_result[512]; + bool success = true; + + for (i = 0; i < ARRAY_SIZE(chacha20poly1305_enc_vectors); ++i) { + memset(computed_result, 0, sizeof(computed_result)); + success = chacha20poly1305_encrypt(computed_result, chacha20poly1305_enc_vectors[i].input, chacha20poly1305_enc_vectors[i].ilen, chacha20poly1305_enc_vectors[i].assoc, chacha20poly1305_enc_vectors[i].alen, le64_to_cpu(*(__force __le64 *)chacha20poly1305_enc_vectors[i].nonce), chacha20poly1305_enc_vectors[i].key); + if (memcmp(computed_result, chacha20poly1305_enc_vectors[i].result, chacha20poly1305_enc_vectors[i].ilen + POLY1305_MAC_SIZE)) { + pr_info("chacha20poly1305 encryption self-test %zu: FAIL\n", i + 1); + success = false; + } + } + for (i = 0; i < ARRAY_SIZE(chacha20poly1305_dec_vectors); ++i) { + memset(computed_result, 0, sizeof(computed_result)); + success = chacha20poly1305_decrypt(computed_result, chacha20poly1305_dec_vectors[i].input, chacha20poly1305_dec_vectors[i].ilen, chacha20poly1305_dec_vectors[i].assoc, chacha20poly1305_dec_vectors[i].alen, le64_to_cpu(*(__force __le64 *)chacha20poly1305_dec_vectors[i].nonce), chacha20poly1305_dec_vectors[i].key); + if (!success || memcmp(computed_result, chacha20poly1305_dec_vectors[i].result, chacha20poly1305_dec_vectors[i].ilen - POLY1305_MAC_SIZE)) { + pr_info("chacha20poly1305 decryption self-test %zu: FAIL\n", i + 1); + success = false; + } + } + if (success) + pr_info("chacha20poly1305 self-tests: pass\n"); +} +#endif diff --git a/src/crypto/chacha20poly1305.h b/src/crypto/chacha20poly1305.h new file mode 100644 index 0000000..c44a17e --- /dev/null +++ b/src/crypto/chacha20poly1305.h @@ -0,0 +1,35 @@ +/* Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. */ + +#ifndef CHACHA20POLY1305_H +#define CHACHA20POLY1305_H + +#include <linux/types.h> + +enum chacha20poly1305_lengths { + CHACHA20POLY1305_KEYLEN = 32, + CHACHA20POLY1305_AUTHTAGLEN = 16 +}; + +void chacha20poly1305_init(void); + +bool chacha20poly1305_encrypt(uint8_t *dst, const uint8_t *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]); + +bool chacha20poly1305_encrypt_sg(struct scatterlist *dst, struct scatterlist *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]); + +bool chacha20poly1305_decrypt(uint8_t *dst, const uint8_t *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]); + +bool chacha20poly1305_decrypt_sg(struct scatterlist *dst, struct scatterlist *src, const size_t src_len, + const uint8_t *ad, const size_t ad_len, + const uint64_t nonce, const uint8_t key[CHACHA20POLY1305_KEYLEN]); + +#ifdef DEBUG +void chacha20poly1305_selftest(void); +#endif + +#endif diff --git a/src/crypto/curve25519.c b/src/crypto/curve25519.c new file mode 100644 index 0000000..8b75aa0 --- /dev/null +++ b/src/crypto/curve25519.c @@ -0,0 +1,1304 @@ +/* Original author: Adam Langley <agl@imperialviolet.org> + * + * Copyright 2008 Google Inc. All Rights Reserved. + * Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. + */ + +#include "../wireguard.h" +#include "curve25519.h" +#include <linux/string.h> +#include <linux/random.h> +#include <crypto/algapi.h> + +static __always_inline void normalize_secret(uint8_t secret[CURVE25519_POINT_SIZE]) +{ + secret[0] &= 248; + secret[31] &= 127; + secret[31] |= 64; +} + +static const uint8_t zeros[CURVE25519_POINT_SIZE] = { 0 }; + +#ifdef __SIZEOF_INT128__ +typedef uint64_t limb; +typedef limb felem[5]; +typedef __uint128_t uint128_t; + +/* Sum two numbers: output += in */ +static __always_inline void fsum(limb *output, const limb *in) +{ + output[0] += in[0]; + output[1] += in[1]; + output[2] += in[2]; + output[3] += in[3]; + output[4] += in[4]; +} + +/* Find the difference of two numbers: output = in - output + * (note the order of the arguments!) + * + * Assumes that out[i] < 2**52 + * On return, out[i] < 2**55 + */ +static __always_inline void fdifference_backwards(felem out, const felem in) +{ + /* 152 is 19 << 3 */ + static const limb two54m152 = (((limb)1) << 54) - 152; + static const limb two54m8 = (((limb)1) << 54) - 8; + + out[0] = in[0] + two54m152 - out[0]; + out[1] = in[1] + two54m8 - out[1]; + out[2] = in[2] + two54m8 - out[2]; + out[3] = in[3] + two54m8 - out[3]; + out[4] = in[4] + two54m8 - out[4]; +} + +/* Multiply a number by a scalar: output = in * scalar */ +static __always_inline void fscalar_product(felem output, const felem in, const limb scalar) +{ + uint128_t a; + + a = ((uint128_t) in[0]) * scalar; + output[0] = ((limb)a) & 0x7ffffffffffffUL; + + a = ((uint128_t) in[1]) * scalar + ((limb) (a >> 51)); + output[1] = ((limb)a) & 0x7ffffffffffffUL; + + a = ((uint128_t) in[2]) * scalar + ((limb) (a >> 51)); + output[2] = ((limb)a) & 0x7ffffffffffffUL; + + a = ((uint128_t) in[3]) * scalar + ((limb) (a >> 51)); + output[3] = ((limb)a) & 0x7ffffffffffffUL; + + a = ((uint128_t) in[4]) * scalar + ((limb) (a >> 51)); + output[4] = ((limb)a) & 0x7ffffffffffffUL; + + output[0] += (a >> 51) * 19; +} + +/* Multiply two numbers: output = in2 * in + * + * output must be distinct to both inputs. The inputs are reduced coefficient + * form, the output is not. + * + * Assumes that in[i] < 2**55 and likewise for in2. + * On return, output[i] < 2**52 + */ +static __always_inline void fmul(felem output, const felem in2, const felem in) +{ + uint128_t t[5]; + limb r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + s0 = in2[0]; + s1 = in2[1]; + s2 = in2[2]; + s3 = in2[3]; + s4 = in2[4]; + + t[0] = ((uint128_t) r0) * s0; + t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0; + t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1; + t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1; + t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2; + + r4 *= 19; + r1 *= 19; + r2 *= 19; + r3 *= 19; + + t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2; + t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3; + t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4; + t[3] += ((uint128_t) r4) * s4; + + r0 = (limb)t[0] & 0x7ffffffffffffUL; c = (limb)(t[0] >> 51); + t[1] += c; r1 = (limb)t[1] & 0x7ffffffffffffUL; c = (limb)(t[1] >> 51); + t[2] += c; r2 = (limb)t[2] & 0x7ffffffffffffUL; c = (limb)(t[2] >> 51); + t[3] += c; r3 = (limb)t[3] & 0x7ffffffffffffUL; c = (limb)(t[3] >> 51); + t[4] += c; r4 = (limb)t[4] & 0x7ffffffffffffUL; c = (limb)(t[4] >> 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & 0x7ffffffffffffUL; + r1 += c; c = r1 >> 51; r1 = r1 & 0x7ffffffffffffUL; + r2 += c; + + output[0] = r0; + output[1] = r1; + output[2] = r2; + output[3] = r3; + output[4] = r4; +} + +static __always_inline void fsquare_times(felem output, const felem in, limb count) +{ + uint128_t t[5]; + limb r0,r1,r2,r3,r4,c; + limb d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + do { + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); + + r0 = (limb)t[0] & 0x7ffffffffffffUL; c = (limb)(t[0] >> 51); + t[1] += c; r1 = (limb)t[1] & 0x7ffffffffffffUL; c = (limb)(t[1] >> 51); + t[2] += c; r2 = (limb)t[2] & 0x7ffffffffffffUL; c = (limb)(t[2] >> 51); + t[3] += c; r3 = (limb)t[3] & 0x7ffffffffffffUL; c = (limb)(t[3] >> 51); + t[4] += c; r4 = (limb)t[4] & 0x7ffffffffffffUL; c = (limb)(t[4] >> 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & 0x7ffffffffffffUL; + r1 += c; c = r1 >> 51; r1 = r1 & 0x7ffffffffffffUL; + r2 += c; + } while(--count); + + output[0] = r0; + output[1] = r1; + output[2] = r2; + output[3] = r3; + output[4] = r4; +} + +/* Load a little-endian 64-bit number */ +static inline limb load_limb(const uint8_t *in) +{ + return le64_to_cpu(*(uint64_t *)in); +} + +static inline void store_limb(uint8_t *out, limb in) +{ + *(uint64_t *)out = cpu_to_le64(in); +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static inline void fexpand(limb *output, const uint8_t *in) +{ + output[0] = load_limb(in) & 0x7ffffffffffffUL; + output[1] = (load_limb(in + 6) >> 3) & 0x7ffffffffffffUL; + output[2] = (load_limb(in + 12) >> 6) & 0x7ffffffffffffUL; + output[3] = (load_limb(in + 19) >> 1) & 0x7ffffffffffffUL; + output[4] = (load_limb(in + 24) >> 12) & 0x7ffffffffffffUL; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +static void fcontract(uint8_t *output, const felem input) +{ + uint128_t t[5]; + + t[0] = input[0]; + t[1] = input[1]; + t[2] = input[2]; + t[3] = input[3]; + t[4] = input[4]; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffffUL; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffffUL; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffffUL; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffffUL; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffffUL; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffffUL; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffffUL; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffffUL; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffffUL; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffffUL; + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + + t[0] += 19; + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffffUL; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffffUL; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffffUL; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffffUL; + t[0] += 19 * (t[4] >> 51); t[4] &= 0x7ffffffffffffUL; + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + + t[0] += 0x8000000000000UL - 19; + t[1] += 0x8000000000000UL - 1; + t[2] += 0x8000000000000UL - 1; + t[3] += 0x8000000000000UL - 1; + t[4] += 0x8000000000000UL - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + + t[1] += t[0] >> 51; t[0] &= 0x7ffffffffffffUL; + t[2] += t[1] >> 51; t[1] &= 0x7ffffffffffffUL; + t[3] += t[2] >> 51; t[2] &= 0x7ffffffffffffUL; + t[4] += t[3] >> 51; t[3] &= 0x7ffffffffffffUL; + t[4] &= 0x7ffffffffffffUL; + + store_limb(output, t[0] | (t[1] << 51)); + store_limb(output+8, (t[1] >> 13) | (t[2] << 38)); + store_limb(output+16, (t[2] >> 26) | (t[3] << 25)); + store_limb(output+24, (t[3] >> 39) | (t[4] << 12)); +} + +/* Input: Q, Q', Q-Q' + * Output: 2Q, Q+Q' + * + * x2 z3: long form + * x3 z3: long form + * x z: short form, destroyed + * xprime zprime: short form, destroyed + * qmqp: short form, preserved + */ +static void fmonty(limb *x2, limb *z2, /* output 2Q */ + limb *x3, limb *z3, /* output Q + Q' */ + limb *x, limb *z, /* input Q */ + limb *xprime, limb *zprime, /* input Q' */ + const limb *qmqp /* input Q - Q' */) +{ + limb origx[5], origxprime[5], zzz[5], xx[5], zz[5], xxprime[5], zzprime[5], zzzprime[5]; + + memcpy(origx, x, 5 * sizeof(limb)); + fsum(x, z); + fdifference_backwards(z, origx); // does x - z + + memcpy(origxprime, xprime, sizeof(limb) * 5); + fsum(xprime, zprime); + fdifference_backwards(zprime, origxprime); + fmul(xxprime, xprime, z); + fmul(zzprime, x, zprime); + memcpy(origxprime, xxprime, sizeof(limb) * 5); + fsum(xxprime, zzprime); + fdifference_backwards(zzprime, origxprime); + fsquare_times(x3, xxprime, 1); + fsquare_times(zzzprime, zzprime, 1); + fmul(z3, zzzprime, qmqp); + + fsquare_times(xx, x, 1); + fsquare_times(zz, z, 1); + fmul(x2, xx, zz); + fdifference_backwards(zz, xx); // does zz = xx - zz + fscalar_product(zzz, zz, 121665); + fsum(zzz, xx); + fmul(z2, zz, zzz); +} + +/* Maybe swap the contents of two limb arrays (@a and @b), each @len elements + * long. Perform the swap iff @swap is non-zero. + * + * This function performs the swap without leaking any side-channel + * information. + */ +static void swap_conditional(limb a[5], limb b[5], limb iswap) +{ + unsigned i; + const limb swap = -iswap; + + for (i = 0; i < 5; ++i) { + const limb x = swap & (a[i] ^ b[i]); + a[i] ^= x; + b[i] ^= x; + } +} + +/* Calculates nQ where Q is the x-coordinate of a point on the curve + * + * resultx/resultz: the x coordinate of the resulting curve point (short form) + * n: a little endian, 32-byte number + * q: a point of the curve (short form) + */ +static void cmult(limb *resultx, limb *resultz, const uint8_t *n, const limb *q) +{ + limb a[5] = {0}, b[5] = {1}, c[5] = {1}, d[5] = {0}; + limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; + limb e[5] = {0}, f[5] = {1}, g[5] = {0}, h[5] = {1}; + limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; + + unsigned i, j; + + memcpy(nqpqx, q, sizeof(limb) * 5); + + for (i = 0; i < 32; ++i) { + uint8_t byte = n[31 - i]; + for (j = 0; j < 8; ++j) { + const limb bit = byte >> 7; + + swap_conditional(nqx, nqpqx, bit); + swap_conditional(nqz, nqpqz, bit); + fmonty(nqx2, nqz2, + nqpqx2, nqpqz2, + nqx, nqz, + nqpqx, nqpqz, + q); + swap_conditional(nqx2, nqpqx2, bit); + swap_conditional(nqz2, nqpqz2, bit); + + t = nqx; + nqx = nqx2; + nqx2 = t; + t = nqz; + nqz = nqz2; + nqz2 = t; + t = nqpqx; + nqpqx = nqpqx2; + nqpqx2 = t; + t = nqpqz; + nqpqz = nqpqz2; + nqpqz2 = t; + + byte <<= 1; + } + } + + memcpy(resultx, nqx, sizeof(limb) * 5); + memcpy(resultz, nqz, sizeof(limb) * 5); +} + +static void crecip(felem out, const felem z) +{ + felem a,t0,b,c; + + /* 2 */ fsquare_times(a, z, 1); // a = 2 + /* 8 */ fsquare_times(t0, a, 2); + /* 9 */ fmul(b, t0, z); // b = 9 + /* 11 */ fmul(a, b, a); // a = 11 + /* 22 */ fsquare_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ fmul(b, t0, b); + /* 2^10 - 2^5 */ fsquare_times(t0, b, 5); + /* 2^10 - 2^0 */ fmul(b, t0, b); + /* 2^20 - 2^10 */ fsquare_times(t0, b, 10); + /* 2^20 - 2^0 */ fmul(c, t0, b); + /* 2^40 - 2^20 */ fsquare_times(t0, c, 20); + /* 2^40 - 2^0 */ fmul(t0, t0, c); + /* 2^50 - 2^10 */ fsquare_times(t0, t0, 10); + /* 2^50 - 2^0 */ fmul(b, t0, b); + /* 2^100 - 2^50 */ fsquare_times(t0, b, 50); + /* 2^100 - 2^0 */ fmul(c, t0, b); + /* 2^200 - 2^100 */ fsquare_times(t0, c, 100); + /* 2^200 - 2^0 */ fmul(t0, t0, c); + /* 2^250 - 2^50 */ fsquare_times(t0, t0, 50); + /* 2^250 - 2^0 */ fmul(t0, t0, b); + /* 2^255 - 2^5 */ fsquare_times(t0, t0, 5); + /* 2^255 - 21 */ fmul(out, t0, a); +} + +void curve25519(uint8_t mypublic[CURVE25519_POINT_SIZE], const uint8_t secret[CURVE25519_POINT_SIZE], const uint8_t basepoint[CURVE25519_POINT_SIZE]) +{ + limb bp[5], x[5], z[5], zmone[5]; + uint8_t e[32]; + + memcpy(e, secret, 32); + normalize_secret(e); + + fexpand(bp, basepoint); + cmult(x, z, e, bp); + crecip(zmone, z); + fmul(z, x, zmone); + fcontract(mypublic, z); + + memzero_explicit(e, sizeof(e)); + memzero_explicit(bp, sizeof(bp)); + memzero_explicit(x, sizeof(x)); + memzero_explicit(z, sizeof(z)); + memzero_explicit(zmone, sizeof(zmone)); +} + +#else +typedef int64_t limb; + +/* Field element representation: + * + * Field elements are written as an array of signed, 64-bit limbs, least + * significant first. The value of the field element is: + * x[0] + 2^26·x[1] + x^51·x[2] + 2^102·x[3] + ... + * + * i.e. the limbs are 26, 25, 26, 25, ... bits wide. */ + +/* Sum two numbers: output += in */ +static void fsum(limb *output, const limb *in) +{ + unsigned i; + for (i = 0; i < 10; i += 2) { + output[0 + i] = output[0 + i] + in[0 + i]; + output[1 + i] = output[1 + i] + in[1 + i]; + } +} + +/* Find the difference of two numbers: output = in - output + * (note the order of the arguments!). */ +static void fdifference(limb *output, const limb *in) +{ + unsigned i; + for (i = 0; i < 10; ++i) + output[i] = in[i] - output[i]; +} + +/* Multiply a number by a scalar: output = in * scalar */ +static void fscalar_product(limb *output, const limb *in, const limb scalar) +{ + unsigned i; + for (i = 0; i < 10; ++i) + output[i] = in[i] * scalar; +} + +/* Multiply two numbers: output = in2 * in + * + * output must be distinct to both inputs. The inputs are reduced coefficient + * form, the output is not. + * + * output[x] <= 14 * the largest product of the input limbs. */ +static void fproduct(limb *output, const limb *in2, const limb *in) +{ + output[0] = ((limb) ((int32_t) in2[0])) * ((int32_t) in[0]); + output[1] = ((limb) ((int32_t) in2[0])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[0]); + output[2] = 2 * ((limb) ((int32_t) in2[1])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[0]); + output[3] = ((limb) ((int32_t) in2[1])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[0]); + output[4] = ((limb) ((int32_t) in2[2])) * ((int32_t) in[2]) + + 2 * (((limb) ((int32_t) in2[1])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[1])) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[0]); + output[5] = ((limb) ((int32_t) in2[2])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[0]); + output[6] = 2 * (((limb) ((int32_t) in2[3])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[1])) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[0]); + output[7] = ((limb) ((int32_t) in2[3])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[0]); + output[8] = ((limb) ((int32_t) in2[4])) * ((int32_t) in[4]) + + 2 * (((limb) ((int32_t) in2[3])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[1])) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[0]); + output[9] = ((limb) ((int32_t) in2[4])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in2[0])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[0]); + output[10] = 2 * (((limb) ((int32_t) in2[5])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[1])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[1])) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[2]); + output[11] = ((limb) ((int32_t) in2[5])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in2[2])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[2]); + output[12] = ((limb) ((int32_t) in2[6])) * ((int32_t) in[6]) + + 2 * (((limb) ((int32_t) in2[5])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[3])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[3])) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[4]); + output[13] = ((limb) ((int32_t) in2[6])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[7])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in2[4])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[4]); + output[14] = 2 * (((limb) ((int32_t) in2[7])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[5])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[5])) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[6]); + output[15] = ((limb) ((int32_t) in2[7])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in2[8])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in2[6])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[6]); + output[16] = ((limb) ((int32_t) in2[8])) * ((int32_t) in[8]) + + 2 * (((limb) ((int32_t) in2[7])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[7])); + output[17] = ((limb) ((int32_t) in2[8])) * ((int32_t) in[9]) + + ((limb) ((int32_t) in2[9])) * ((int32_t) in[8]); + output[18] = 2 * ((limb) ((int32_t) in2[9])) * ((int32_t) in[9]); +} + +/* Reduce a long form to a short form by taking the input mod 2^255 - 19. + * + * On entry: |output[i]| < 14*2^54 + * On exit: |output[0..8]| < 280*2^54 */ +static void freduce_degree(limb *output) +{ + /* Each of these shifts and adds ends up multiplying the value by 19. + * + * For output[0..8], the absolute entry value is < 14*2^54 and we add, at + * most, 19*14*2^54 thus, on exit, |output[0..8]| < 280*2^54. */ + output[8] += output[18] << 4; + output[8] += output[18] << 1; + output[8] += output[18]; + output[7] += output[17] << 4; + output[7] += output[17] << 1; + output[7] += output[17]; + output[6] += output[16] << 4; + output[6] += output[16] << 1; + output[6] += output[16]; + output[5] += output[15] << 4; + output[5] += output[15] << 1; + output[5] += output[15]; + output[4] += output[14] << 4; + output[4] += output[14] << 1; + output[4] += output[14]; + output[3] += output[13] << 4; + output[3] += output[13] << 1; + output[3] += output[13]; + output[2] += output[12] << 4; + output[2] += output[12] << 1; + output[2] += output[12]; + output[1] += output[11] << 4; + output[1] += output[11] << 1; + output[1] += output[11]; + output[0] += output[10] << 4; + output[0] += output[10] << 1; + output[0] += output[10]; +} + +#if (-1 & 3) != 3 +#error "This code only works on a two's complement system" +#endif + +/* return v / 2^26, using only shifts and adds. + * + * On entry: v can take any value. */ +static inline limb div_by_2_26(const limb v) +{ + /* High word of v; no shift needed. */ + const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); + /* Set to all 1s if v was negative; else set to 0s. */ + const int32_t sign = ((int32_t) highword) >> 31; + /* Set to 0x3ffffff if v was negative; else set to 0. */ + const int32_t roundoff = ((uint32_t) sign) >> 6; + /* Should return v / (1<<26) */ + return (v + roundoff) >> 26; +} + +/* return v / (2^25), using only shifts and adds. + * + * On entry: v can take any value. */ +static inline limb div_by_2_25(const limb v) +{ + /* High word of v; no shift needed*/ + const uint32_t highword = (uint32_t) (((uint64_t) v) >> 32); + /* Set to all 1s if v was negative; else set to 0s. */ + const int32_t sign = ((int32_t) highword) >> 31; + /* Set to 0x1ffffff if v was negative; else set to 0. */ + const int32_t roundoff = ((uint32_t) sign) >> 7; + /* Should return v / (1<<25) */ + return (v + roundoff) >> 25; +} + +/* Reduce all coefficients of the short form input so that |x| < 2^26. + * + * On entry: |output[i]| < 280*2^54 */ +static void freduce_coefficients(limb *output) +{ + unsigned i; + + output[10] = 0; + + for (i = 0; i < 10; i += 2) { + limb over = div_by_2_26(output[i]); + /* The entry condition (that |output[i]| < 280*2^54) means that over is, at + * most, 280*2^28 in the first iteration of this loop. This is added to the + * next limb and we can approximate the resulting bound of that limb by + * 281*2^54. */ + output[i] -= over << 26; + output[i+1] += over; + + /* For the first iteration, |output[i+1]| < 281*2^54, thus |over| < + * 281*2^29. When this is added to the next limb, the resulting bound can + * be approximated as 281*2^54. + * + * For subsequent iterations of the loop, 281*2^54 remains a conservative + * bound and no overflow occurs. */ + over = div_by_2_25(output[i+1]); + output[i+1] -= over << 25; + output[i+2] += over; + } + /* Now |output[10]| < 281*2^29 and all other coefficients are reduced. */ + output[0] += output[10] << 4; + output[0] += output[10] << 1; + output[0] += output[10]; + + output[10] = 0; + + /* Now output[1..9] are reduced, and |output[0]| < 2^26 + 19*281*2^29 + * So |over| will be no more than 2^16. */ + { + limb over = div_by_2_26(output[0]); + output[0] -= over << 26; + output[1] += over; + } + + /* Now output[0,2..9] are reduced, and |output[1]| < 2^25 + 2^16 < 2^26. The + * bound on |output[1]| is sufficient to meet our needs. */ +} + +/* A helpful wrapper around fproduct: output = in * in2. + * + * On entry: |in[i]| < 2^27 and |in2[i]| < 2^27. + * + * output must be distinct to both inputs. The output is reduced degree + * (indeed, one need only provide storage for 10 limbs) and |output[i]| < 2^26. */ +static void fmul(limb *output, const limb *in, const limb *in2) +{ + limb t[19]; + fproduct(t, in, in2); + /* |t[i]| < 14*2^54 */ + freduce_degree(t); + freduce_coefficients(t); + /* |t[i]| < 2^26 */ + memcpy(output, t, sizeof(limb) * 10); +} + +/* Square a number: output = in**2 + * + * output must be distinct from the input. The inputs are reduced coefficient + * form, the output is not. + * + * output[x] <= 14 * the largest product of the input limbs. */ +static void fsquare_inner(limb *output, const limb *in) +{ + output[0] = ((limb) ((int32_t) in[0])) * ((int32_t) in[0]); + output[1] = 2 * ((limb) ((int32_t) in[0])) * ((int32_t) in[1]); + output[2] = 2 * (((limb) ((int32_t) in[1])) * ((int32_t) in[1]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[2])); + output[3] = 2 * (((limb) ((int32_t) in[1])) * ((int32_t) in[2]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[3])); + output[4] = ((limb) ((int32_t) in[2])) * ((int32_t) in[2]) + + 4 * ((limb) ((int32_t) in[1])) * ((int32_t) in[3]) + + 2 * ((limb) ((int32_t) in[0])) * ((int32_t) in[4]); + output[5] = 2 * (((limb) ((int32_t) in[2])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in[1])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[5])); + output[6] = 2 * (((limb) ((int32_t) in[3])) * ((int32_t) in[3]) + + ((limb) ((int32_t) in[2])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[6]) + + 2 * ((limb) ((int32_t) in[1])) * ((int32_t) in[5])); + output[7] = 2 * (((limb) ((int32_t) in[3])) * ((int32_t) in[4]) + + ((limb) ((int32_t) in[2])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in[1])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[7])); + output[8] = ((limb) ((int32_t) in[4])) * ((int32_t) in[4]) + + 2 * (((limb) ((int32_t) in[2])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[8]) + + 2 * (((limb) ((int32_t) in[1])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[3])) * ((int32_t) in[5]))); + output[9] = 2 * (((limb) ((int32_t) in[4])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in[3])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in[2])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[1])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in[0])) * ((int32_t) in[9])); + output[10] = 2 * (((limb) ((int32_t) in[5])) * ((int32_t) in[5]) + + ((limb) ((int32_t) in[4])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in[2])) * ((int32_t) in[8]) + + 2 * (((limb) ((int32_t) in[3])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[1])) * ((int32_t) in[9]))); + output[11] = 2 * (((limb) ((int32_t) in[5])) * ((int32_t) in[6]) + + ((limb) ((int32_t) in[4])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[3])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in[2])) * ((int32_t) in[9])); + output[12] = ((limb) ((int32_t) in[6])) * ((int32_t) in[6]) + + 2 * (((limb) ((int32_t) in[4])) * ((int32_t) in[8]) + + 2 * (((limb) ((int32_t) in[5])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[3])) * ((int32_t) in[9]))); + output[13] = 2 * (((limb) ((int32_t) in[6])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[5])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in[4])) * ((int32_t) in[9])); + output[14] = 2 * (((limb) ((int32_t) in[7])) * ((int32_t) in[7]) + + ((limb) ((int32_t) in[6])) * ((int32_t) in[8]) + + 2 * ((limb) ((int32_t) in[5])) * ((int32_t) in[9])); + output[15] = 2 * (((limb) ((int32_t) in[7])) * ((int32_t) in[8]) + + ((limb) ((int32_t) in[6])) * ((int32_t) in[9])); + output[16] = ((limb) ((int32_t) in[8])) * ((int32_t) in[8]) + + 4 * ((limb) ((int32_t) in[7])) * ((int32_t) in[9]); + output[17] = 2 * ((limb) ((int32_t) in[8])) * ((int32_t) in[9]); + output[18] = 2 * ((limb) ((int32_t) in[9])) * ((int32_t) in[9]); +} + +/* fsquare sets output = in^2. + * + * On entry: The |in| argument is in reduced coefficients form and |in[i]| < + * 2^27. + * + * On exit: The |output| argument is in reduced coefficients form (indeed, one + * need only provide storage for 10 limbs) and |out[i]| < 2^26. */ +static void fsquare(limb *output, const limb *in) +{ + limb t[19]; + fsquare_inner(t, in); + /* |t[i]| < 14*2^54 because the largest product of two limbs will be < + * 2^(27+27) and fsquare_inner adds together, at most, 14 of those + * products. */ + freduce_degree(t); + freduce_coefficients(t); + /* |t[i]| < 2^26 */ + memcpy(output, t, sizeof(limb) * 10); +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +static inline void fexpand(limb *output, const uint8_t *input) +{ +#define F(n,start,shift,mask) \ + output[n] = ((((limb) input[start + 0]) | \ + ((limb) input[start + 1]) << 8 | \ + ((limb) input[start + 2]) << 16 | \ + ((limb) input[start + 3]) << 24) >> shift) & mask; + F(0, 0, 0, 0x3ffffff); + F(1, 3, 2, 0x1ffffff); + F(2, 6, 3, 0x3ffffff); + F(3, 9, 5, 0x1ffffff); + F(4, 12, 6, 0x3ffffff); + F(5, 16, 0, 0x1ffffff); + F(6, 19, 1, 0x3ffffff); + F(7, 22, 3, 0x1ffffff); + F(8, 25, 4, 0x3ffffff); + F(9, 28, 6, 0x1ffffff); +#undef F +} + +#if (-32 >> 1) != -16 +#error "This code only works when >> does sign-extension on negative numbers" +#endif + +/* int32_t_eq returns 0xffffffff iff a == b and zero otherwise. */ +static int32_t int32_t_eq(int32_t a, int32_t b) +{ + a = ~(a ^ b); + a &= a << 16; + a &= a << 8; + a &= a << 4; + a &= a << 2; + a &= a << 1; + return a >> 31; +} + +/* int32_t_gte returns 0xffffffff if a >= b and zero otherwise, where a and b are + * both non-negative. */ +static int32_t int32_t_gte(int32_t a, int32_t b) +{ + a -= b; + /* a >= 0 iff a >= b. */ + return ~(a >> 31); +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array. + * + * On entry: |input_limbs[i]| < 2^26 */ +static void fcontract(uint8_t *output, limb *input_limbs) +{ + int i; + int j; + int32_t input[10]; + int32_t mask; + + /* |input_limbs[i]| < 2^26, so it's valid to convert to an int32_t. */ + for (i = 0; i < 10; i++) { + input[i] = input_limbs[i]; + } + + for (j = 0; j < 2; ++j) { + for (i = 0; i < 9; ++i) { + if ((i & 1) == 1) { + /* This calculation is a time-invariant way to make input[i] + * non-negative by borrowing from the next-larger limb. */ + const int32_t mask = input[i] >> 31; + const int32_t carry = -((input[i] & mask) >> 25); + input[i] = input[i] + (carry << 25); + input[i+1] = input[i+1] - carry; + } else { + const int32_t mask = input[i] >> 31; + const int32_t carry = -((input[i] & mask) >> 26); + input[i] = input[i] + (carry << 26); + input[i+1] = input[i+1] - carry; + } + } + + /* There's no greater limb for input[9] to borrow from, but we can multiply + * by 19 and borrow from input[0], which is valid mod 2^255-19. */ + { + const int32_t mask = input[9] >> 31; + const int32_t carry = -((input[9] & mask) >> 25); + input[9] = input[9] + (carry << 25); + input[0] = input[0] - (carry * 19); + } + + /* After the first iteration, input[1..9] are non-negative and fit within + * 25 or 26 bits, depending on position. However, input[0] may be + * negative. */ + } + + /* The first borrow-propagation pass above ended with every limb + except (possibly) input[0] non-negative. + If input[0] was negative after the first pass, then it was because of a + carry from input[9]. On entry, input[9] < 2^26 so the carry was, at most, + one, since (2**26-1) >> 25 = 1. Thus input[0] >= -19. + In the second pass, each limb is decreased by at most one. Thus the second + borrow-propagation pass could only have wrapped around to decrease + input[0] again if the first pass left input[0] negative *and* input[1] + through input[9] were all zero. In that case, input[1] is now 2^25 - 1, + and this last borrow-propagation step will leave input[1] non-negative. */ + { + const int32_t mask = input[0] >> 31; + const int32_t carry = -((input[0] & mask) >> 26); + input[0] = input[0] + (carry << 26); + input[1] = input[1] - carry; + } + + /* All input[i] are now non-negative. However, there might be values between + * 2^25 and 2^26 in a limb which is, nominally, 25 bits wide. */ + for (j = 0; j < 2; j++) { + for (i = 0; i < 9; i++) { + if ((i & 1) == 1) { + const int32_t carry = input[i] >> 25; + input[i] &= 0x1ffffff; + input[i+1] += carry; + } else { + const int32_t carry = input[i] >> 26; + input[i] &= 0x3ffffff; + input[i+1] += carry; + } + } + + { + const int32_t carry = input[9] >> 25; + input[9] &= 0x1ffffff; + input[0] += 19*carry; + } + } + + /* If the first carry-chain pass, just above, ended up with a carry from + * input[9], and that caused input[0] to be out-of-bounds, then input[0] was + * < 2^26 + 2*19, because the carry was, at most, two. + * + * If the second pass carried from input[9] again then input[0] is < 2*19 and + * the input[9] -> input[0] carry didn't push input[0] out of bounds. */ + + /* It still remains the case that input might be between 2^255-19 and 2^255. + * In this case, input[1..9] must take their maximum value and input[0] must + * be >= (2^255-19) & 0x3ffffff, which is 0x3ffffed. */ + mask = int32_t_gte(input[0], 0x3ffffed); + for (i = 1; i < 10; i++) { + if ((i & 1) == 1) { + mask &= int32_t_eq(input[i], 0x1ffffff); + } else { + mask &= int32_t_eq(input[i], 0x3ffffff); + } + } + + /* mask is either 0xffffffff (if input >= 2^255-19) and zero otherwise. Thus + * this conditionally subtracts 2^255-19. */ + input[0] -= mask & 0x3ffffed; + + for (i = 1; i < 10; i++) { + if ((i & 1) == 1) { + input[i] -= mask & 0x1ffffff; + } else { + input[i] -= mask & 0x3ffffff; + } + } + + input[1] <<= 2; + input[2] <<= 3; + input[3] <<= 5; + input[4] <<= 6; + input[6] <<= 1; + input[7] <<= 3; + input[8] <<= 4; + input[9] <<= 6; +#define F(i, s) \ + output[s+0] |= input[i] & 0xff; \ + output[s+1] = (input[i] >> 8) & 0xff; \ + output[s+2] = (input[i] >> 16) & 0xff; \ + output[s+3] = (input[i] >> 24) & 0xff; + output[0] = 0; + output[16] = 0; + F(0,0); + F(1,3); + F(2,6); + F(3,9); + F(4,12); + F(5,16); + F(6,19); + F(7,22); + F(8,25); + F(9,28); +#undef F +} + +/* Input: Q, Q', Q-Q' + * Output: 2Q, Q+Q' + * + * x2 z3: long form + * x3 z3: long form + * x z: short form, destroyed + * xprime zprime: short form, destroyed + * qmqp: short form, preserved + * + * On entry and exit, the absolute value of the limbs of all inputs and outputs + * are < 2^26. */ +static void fmonty(limb *x2, limb *z2, /* output 2Q */ + limb *x3, limb *z3, /* output Q + Q' */ + limb *x, limb *z, /* input Q */ + limb *xprime, limb *zprime, /* input Q' */ + const limb *qmqp /* input Q - Q' */) +{ + limb origx[10], origxprime[10], zzz[19], xx[19], zz[19], xxprime[19], + zzprime[19], zzzprime[19], xxxprime[19]; + + memcpy(origx, x, 10 * sizeof(limb)); + fsum(x, z); + /* |x[i]| < 2^27 */ + fdifference(z, origx); /* does x - z */ + /* |z[i]| < 2^27 */ + + memcpy(origxprime, xprime, sizeof(limb) * 10); + fsum(xprime, zprime); + /* |xprime[i]| < 2^27 */ + fdifference(zprime, origxprime); + /* |zprime[i]| < 2^27 */ + fproduct(xxprime, xprime, z); + /* |xxprime[i]| < 14*2^54: the largest product of two limbs will be < + * 2^(27+27) and fproduct adds together, at most, 14 of those products. + * (Approximating that to 2^58 doesn't work out.) */ + fproduct(zzprime, x, zprime); + /* |zzprime[i]| < 14*2^54 */ + freduce_degree(xxprime); + freduce_coefficients(xxprime); + /* |xxprime[i]| < 2^26 */ + freduce_degree(zzprime); + freduce_coefficients(zzprime); + /* |zzprime[i]| < 2^26 */ + memcpy(origxprime, xxprime, sizeof(limb) * 10); + fsum(xxprime, zzprime); + /* |xxprime[i]| < 2^27 */ + fdifference(zzprime, origxprime); + /* |zzprime[i]| < 2^27 */ + fsquare(xxxprime, xxprime); + /* |xxxprime[i]| < 2^26 */ + fsquare(zzzprime, zzprime); + /* |zzzprime[i]| < 2^26 */ + fproduct(zzprime, zzzprime, qmqp); + /* |zzprime[i]| < 14*2^52 */ + freduce_degree(zzprime); + freduce_coefficients(zzprime); + /* |zzprime[i]| < 2^26 */ + memcpy(x3, xxxprime, sizeof(limb) * 10); + memcpy(z3, zzprime, sizeof(limb) * 10); + + fsquare(xx, x); + /* |xx[i]| < 2^26 */ + fsquare(zz, z); + /* |zz[i]| < 2^26 */ + fproduct(x2, xx, zz); + /* |x2[i]| < 14*2^52 */ + freduce_degree(x2); + freduce_coefficients(x2); + /* |x2[i]| < 2^26 */ + fdifference(zz, xx); // does zz = xx - zz + /* |zz[i]| < 2^27 */ + memset(zzz + 10, 0, sizeof(limb) * 9); + fscalar_product(zzz, zz, 121665); + /* |zzz[i]| < 2^(27+17) */ + /* No need to call freduce_degree here: + fscalar_product doesn't increase the degree of its input. */ + freduce_coefficients(zzz); + /* |zzz[i]| < 2^26 */ + fsum(zzz, xx); + /* |zzz[i]| < 2^27 */ + fproduct(z2, zz, zzz); + /* |z2[i]| < 14*2^(26+27) */ + freduce_degree(z2); + freduce_coefficients(z2); + /* |z2|i| < 2^26 */ +} + +/* Conditionally swap two reduced-form limb arrays if 'iswap' is 1, but leave + * them unchanged if 'iswap' is 0. Runs in data-invariant time to avoid + * side-channel attacks. + * + * NOTE that this function requires that 'iswap' be 1 or 0; other values give + * wrong results. Also, the two limb arrays must be in reduced-coefficient, + * reduced-degree form: the values in a[10..19] or b[10..19] aren't swapped, + * and all all values in a[0..9],b[0..9] must have magnitude less than + * INT32_MAX. */ +static void swap_conditional(limb a[19], limb b[19], limb iswap) +{ + unsigned i; + const int32_t swap = (int32_t) -iswap; + + for (i = 0; i < 10; ++i) { + const int32_t x = swap & ( ((int32_t)a[i]) ^ ((int32_t)b[i]) ); + a[i] = ((int32_t)a[i]) ^ x; + b[i] = ((int32_t)b[i]) ^ x; + } +} + +/* Calculates nQ where Q is the x-coordinate of a point on the curve + * + * resultx/resultz: the x coordinate of the resulting curve point (short form) + * n: a little endian, 32-byte number + * q: a point of the curve (short form) */ +static void cmult(limb *resultx, limb *resultz, const uint8_t *n, const limb *q) +{ + limb a[19] = {0}, b[19] = {1}, c[19] = {1}, d[19] = {0}; + limb *nqpqx = a, *nqpqz = b, *nqx = c, *nqz = d, *t; + limb e[19] = {0}, f[19] = {1}, g[19] = {0}, h[19] = {1}; + limb *nqpqx2 = e, *nqpqz2 = f, *nqx2 = g, *nqz2 = h; + + unsigned i, j; + + memcpy(nqpqx, q, sizeof(limb) * 10); + + for (i = 0; i < 32; ++i) { + uint8_t byte = n[31 - i]; + for (j = 0; j < 8; ++j) { + const limb bit = byte >> 7; + + swap_conditional(nqx, nqpqx, bit); + swap_conditional(nqz, nqpqz, bit); + fmonty(nqx2, nqz2, + nqpqx2, nqpqz2, + nqx, nqz, + nqpqx, nqpqz, + q); + swap_conditional(nqx2, nqpqx2, bit); + swap_conditional(nqz2, nqpqz2, bit); + + t = nqx; + nqx = nqx2; + nqx2 = t; + t = nqz; + nqz = nqz2; + nqz2 = t; + t = nqpqx; + nqpqx = nqpqx2; + nqpqx2 = t; + t = nqpqz; + nqpqz = nqpqz2; + nqpqz2 = t; + + byte <<= 1; + } + } + + memcpy(resultx, nqx, sizeof(limb) * 10); + memcpy(resultz, nqz, sizeof(limb) * 10); +} + +static void crecip(limb *out, const limb *z) +{ + limb z2[10]; + limb z9[10]; + limb z11[10]; + limb z2_5_0[10]; + limb z2_10_0[10]; + limb z2_20_0[10]; + limb z2_50_0[10]; + limb z2_100_0[10]; + limb t0[10]; + limb t1[10]; + int i; + + /* 2 */ fsquare(z2,z); + /* 4 */ fsquare(t1,z2); + /* 8 */ fsquare(t0,t1); + /* 9 */ fmul(z9,t0,z); + /* 11 */ fmul(z11,z9,z2); + /* 22 */ fsquare(t0,z11); + /* 2^5 - 2^0 = 31 */ fmul(z2_5_0,t0,z9); + + /* 2^6 - 2^1 */ fsquare(t0,z2_5_0); + /* 2^7 - 2^2 */ fsquare(t1,t0); + /* 2^8 - 2^3 */ fsquare(t0,t1); + /* 2^9 - 2^4 */ fsquare(t1,t0); + /* 2^10 - 2^5 */ fsquare(t0,t1); + /* 2^10 - 2^0 */ fmul(z2_10_0,t0,z2_5_0); + + /* 2^11 - 2^1 */ fsquare(t0,z2_10_0); + /* 2^12 - 2^2 */ fsquare(t1,t0); + /* 2^20 - 2^10 */ for (i = 2; i < 10; i += 2) { fsquare(t0,t1); fsquare(t1,t0); } + /* 2^20 - 2^0 */ fmul(z2_20_0,t1,z2_10_0); + + /* 2^21 - 2^1 */ fsquare(t0,z2_20_0); + /* 2^22 - 2^2 */ fsquare(t1,t0); + /* 2^40 - 2^20 */ for (i = 2; i < 20; i += 2) { fsquare(t0,t1); fsquare(t1,t0); } + /* 2^40 - 2^0 */ fmul(t0,t1,z2_20_0); + + /* 2^41 - 2^1 */ fsquare(t1,t0); + /* 2^42 - 2^2 */ fsquare(t0,t1); + /* 2^50 - 2^10 */ for (i = 2; i < 10; i += 2) { fsquare(t1,t0); fsquare(t0,t1); } + /* 2^50 - 2^0 */ fmul(z2_50_0,t0,z2_10_0); + + /* 2^51 - 2^1 */ fsquare(t0,z2_50_0); + /* 2^52 - 2^2 */ fsquare(t1,t0); + /* 2^100 - 2^50 */ for (i = 2; i < 50; i += 2) { fsquare(t0,t1); fsquare(t1,t0); } + /* 2^100 - 2^0 */ fmul(z2_100_0,t1,z2_50_0); + + /* 2^101 - 2^1 */ fsquare(t1,z2_100_0); + /* 2^102 - 2^2 */ fsquare(t0,t1); + /* 2^200 - 2^100 */ for (i = 2; i < 100; i += 2) { fsquare(t1,t0); fsquare(t0,t1); } + /* 2^200 - 2^0 */ fmul(t1,t0,z2_100_0); + + /* 2^201 - 2^1 */ fsquare(t0,t1); + /* 2^202 - 2^2 */ fsquare(t1,t0); + /* 2^250 - 2^50 */ for (i = 2; i < 50; i += 2) { fsquare(t0,t1); fsquare(t1,t0); } + /* 2^250 - 2^0 */ fmul(t0,t1,z2_50_0); + + /* 2^251 - 2^1 */ fsquare(t1,t0); + /* 2^252 - 2^2 */ fsquare(t0,t1); + /* 2^253 - 2^3 */ fsquare(t1,t0); + /* 2^254 - 2^4 */ fsquare(t0,t1); + /* 2^255 - 2^5 */ fsquare(t1,t0); + /* 2^255 - 21 */ fmul(out,t1,z11); +} + +void curve25519(uint8_t mypublic[CURVE25519_POINT_SIZE], const uint8_t secret[CURVE25519_POINT_SIZE], const uint8_t basepoint[CURVE25519_POINT_SIZE]) +{ + limb bp[10], x[10], z[11], zmone[10]; + uint8_t e[32]; + + memcpy(e, secret, 32); + normalize_secret(e); + + fexpand(bp, basepoint); + cmult(x, z, e, bp); + crecip(zmone, z); + fmul(z, x, zmone); + fcontract(mypublic, z); + + memzero_explicit(e, sizeof(e)); + memzero_explicit(bp, sizeof(bp)); + memzero_explicit(x, sizeof(x)); + memzero_explicit(z, sizeof(z)); + memzero_explicit(zmone, sizeof(zmone)); +} +#endif + + +void curve25519_generate_secret(uint8_t secret[CURVE25519_POINT_SIZE]) +{ + get_random_bytes(secret, CURVE25519_POINT_SIZE); + normalize_secret(secret); +} + +void curve25519_generate_public(uint8_t pub[CURVE25519_POINT_SIZE], const uint8_t secret[CURVE25519_POINT_SIZE]) +{ + static const uint8_t basepoint[CURVE25519_POINT_SIZE] = { 9 }; + curve25519(pub, secret, basepoint); +} + +#ifdef DEBUG +struct curve25519_test_vector { + uint8_t private[CURVE25519_POINT_SIZE]; + uint8_t public[CURVE25519_POINT_SIZE]; + uint8_t result[CURVE25519_POINT_SIZE]; +}; +static const struct curve25519_test_vector curve25519_test_vectors[] = { + { + .private = { 0x77, 0x07, 0x6d, 0x0a, 0x73, 0x18, 0xa5, 0x7d, 0x3c, 0x16, 0xc1, 0x72, 0x51, 0xb2, 0x66, 0x45, 0xdf, 0x4c, 0x2f, 0x87, 0xeb, 0xc0, 0x99, 0x2a, 0xb1, 0x77, 0xfb, 0xa5, 0x1d, 0xb9, 0x2c, 0x2a }, + .public = { 0xde, 0x9e, 0xdb, 0x7d, 0x7b, 0x7d, 0xc1, 0xb4, 0xd3, 0x5b, 0x61, 0xc2, 0xec, 0xe4, 0x35, 0x37, 0x3f, 0x83, 0x43, 0xc8, 0x5b, 0x78, 0x67, 0x4d, 0xad, 0xfc, 0x7e, 0x14, 0x6f, 0x88, 0x2b, 0x4f }, + .result = { 0x4a, 0x5d, 0x9d, 0x5b, 0xa4, 0xce, 0x2d, 0xe1, 0x72, 0x8e, 0x3b, 0xf4, 0x80, 0x35, 0x0f, 0x25, 0xe0, 0x7e, 0x21, 0xc9, 0x47, 0xd1, 0x9e, 0x33, 0x76, 0xf0, 0x9b, 0x3c, 0x1e, 0x16, 0x17, 0x42 } + }, + { + .private = { 0x5d, 0xab, 0x08, 0x7e, 0x62, 0x4a, 0x8a, 0x4b, 0x79, 0xe1, 0x7f, 0x8b, 0x83, 0x80, 0x0e, 0xe6, 0x6f, 0x3b, 0xb1, 0x29, 0x26, 0x18, 0xb6, 0xfd, 0x1c, 0x2f, 0x8b, 0x27, 0xff, 0x88, 0xe0, 0xeb }, + .public = { 0x85, 0x20, 0xf0, 0x09, 0x89, 0x30, 0xa7, 0x54, 0x74, 0x8b, 0x7d, 0xdc, 0xb4, 0x3e, 0xf7, 0x5a, 0x0d, 0xbf, 0x3a, 0x0d, 0x26, 0x38, 0x1a, 0xf4, 0xeb, 0xa4, 0xa9, 0x8e, 0xaa, 0x9b, 0x4e, 0x6a }, + .result = { 0x4a, 0x5d, 0x9d, 0x5b, 0xa4, 0xce, 0x2d, 0xe1, 0x72, 0x8e, 0x3b, 0xf4, 0x80, 0x35, 0x0f, 0x25, 0xe0, 0x7e, 0x21, 0xc9, 0x47, 0xd1, 0x9e, 0x33, 0x76, 0xf0, 0x9b, 0x3c, 0x1e, 0x16, 0x17, 0x42 } + }, + { + .private = { 1 }, + .public = { 0x25, 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 }, + .result = { 0x3c, 0x77, 0x77, 0xca, 0xf9, 0x97, 0xb2, 0x64, 0x41, 0x60, 0x77, 0x66, 0x5b, 0x4e, 0x22, 0x9d, 0xb, 0x95, 0x48, 0xdc, 0xc, 0xd8, 0x19, 0x98, 0xdd, 0xcd, 0xc5, 0xc8, 0x53, 0x3c, 0x79, 0x7f } + }, + { + .private = { 1 }, + .public = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }, + .result = { 0xb3, 0x2d, 0x13, 0x62, 0xc2, 0x48, 0xd6, 0x2f, 0xe6, 0x26, 0x19, 0xcf, 0xf0, 0x4d, 0xd4, 0x3d, 0xb7, 0x3f, 0xfc, 0x1b, 0x63, 0x8, 0xed, 0xe3, 0xb, 0x78, 0xd8, 0x73, 0x80, 0xf1, 0xe8, 0x34 } + }, + { + .private = { 0xa5, 0x46, 0xe3, 0x6b, 0xf0, 0x52, 0x7c, 0x9d, 0x3b, 0x16, 0x15, 0x4b, 0x82, 0x46, 0x5e, 0xdd, 0x62, 0x14, 0x4c, 0x0a, 0xc1, 0xfc, 0x5a, 0x18, 0x50, 0x6a, 0x22, 0x44, 0xba, 0x44, 0x9a, 0xc4 }, + .public = { 0xe6, 0xdb, 0x68, 0x67, 0x58, 0x30, 0x30, 0xdb, 0x35, 0x94, 0xc1, 0xa4, 0x24, 0xb1, 0x5f, 0x7c, 0x72, 0x66, 0x24, 0xec, 0x26, 0xb3, 0x35, 0x3b, 0x10, 0xa9, 0x03, 0xa6, 0xd0, 0xab, 0x1c, 0x4c }, + .result = { 0xc3, 0xda, 0x55, 0x37, 0x9d, 0xe9, 0xc6, 0x90, 0x8e, 0x94, 0xea, 0x4d, 0xf2, 0x8d, 0x08, 0x4f, 0x32, 0xec, 0xcf, 0x03, 0x49, 0x1c, 0x71, 0xf7, 0x54, 0xb4, 0x07, 0x55, 0x77, 0xa2, 0x85, 0x52 } + }, + { + .private = { 1, 2, 3, 4 }, + .public = { 0 }, + .result = { 0 } + }, + { + .private = { 2, 4, 6, 8 }, + .public = { 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae, 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a, 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd, 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8 }, + .result = { 0 } + } +}; +void curve25519_selftest(void) +{ + bool success = true; + size_t i = 0; + uint8_t out[CURVE25519_POINT_SIZE]; + + for (i = 0; i < ARRAY_SIZE(curve25519_test_vectors); ++i) { + memset(out, 0, CURVE25519_POINT_SIZE); + curve25519(out, curve25519_test_vectors[i].private, curve25519_test_vectors[i].public); + if (memcmp(out, curve25519_test_vectors[i].result, CURVE25519_POINT_SIZE)) { + pr_info("curve25519 self-test %zu: FAIL\n", i + 1); + success = false; + return; + } + } + + if (success) + pr_info("curve25519 self-tests: pass\n"); +} +#endif diff --git a/src/crypto/curve25519.h b/src/crypto/curve25519.h new file mode 100644 index 0000000..b8f68e7 --- /dev/null +++ b/src/crypto/curve25519.h @@ -0,0 +1,20 @@ +/* Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. */ + +#ifndef CURVE25519_H +#define CURVE25519_H + +#include <linux/types.h> + +enum curve25519_lengths { + CURVE25519_POINT_SIZE = 32 +}; + +void curve25519(uint8_t mypublic[CURVE25519_POINT_SIZE], const uint8_t secret[CURVE25519_POINT_SIZE], const uint8_t basepoint[CURVE25519_POINT_SIZE]); +void curve25519_generate_secret(uint8_t secret[CURVE25519_POINT_SIZE]); +void curve25519_generate_public(uint8_t pub[CURVE25519_POINT_SIZE], const uint8_t secret[CURVE25519_POINT_SIZE]); + +#ifdef DEBUG +void curve25519_selftest(void); +#endif + +#endif diff --git a/src/crypto/poly1305-avx2-x86_64.S b/src/crypto/poly1305-avx2-x86_64.S new file mode 100644 index 0000000..f5b8c8a --- /dev/null +++ b/src/crypto/poly1305-avx2-x86_64.S @@ -0,0 +1,386 @@ +/* + * Poly1305 authenticator algorithm, RFC7539, x64 AVX2 functions + * + * Copyright (C) 2015 Martin Willi + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + */ + +#include <linux/linkage.h> + +.data +.align 32 + +ANMASK: .octa 0x0000000003ffffff0000000003ffffff + .octa 0x0000000003ffffff0000000003ffffff +ORMASK: .octa 0x00000000010000000000000001000000 + .octa 0x00000000010000000000000001000000 + +.text + +#define h0 0x00(%rdi) +#define h1 0x04(%rdi) +#define h2 0x08(%rdi) +#define h3 0x0c(%rdi) +#define h4 0x10(%rdi) +#define r0 0x00(%rdx) +#define r1 0x04(%rdx) +#define r2 0x08(%rdx) +#define r3 0x0c(%rdx) +#define r4 0x10(%rdx) +#define u0 0x00(%r8) +#define u1 0x04(%r8) +#define u2 0x08(%r8) +#define u3 0x0c(%r8) +#define u4 0x10(%r8) +#define w0 0x14(%r8) +#define w1 0x18(%r8) +#define w2 0x1c(%r8) +#define w3 0x20(%r8) +#define w4 0x24(%r8) +#define y0 0x28(%r8) +#define y1 0x2c(%r8) +#define y2 0x30(%r8) +#define y3 0x34(%r8) +#define y4 0x38(%r8) +#define m %rsi +#define hc0 %ymm0 +#define hc1 %ymm1 +#define hc2 %ymm2 +#define hc3 %ymm3 +#define hc4 %ymm4 +#define hc0x %xmm0 +#define hc1x %xmm1 +#define hc2x %xmm2 +#define hc3x %xmm3 +#define hc4x %xmm4 +#define t1 %ymm5 +#define t2 %ymm6 +#define t1x %xmm5 +#define t2x %xmm6 +#define ruwy0 %ymm7 +#define ruwy1 %ymm8 +#define ruwy2 %ymm9 +#define ruwy3 %ymm10 +#define ruwy4 %ymm11 +#define ruwy0x %xmm7 +#define ruwy1x %xmm8 +#define ruwy2x %xmm9 +#define ruwy3x %xmm10 +#define ruwy4x %xmm11 +#define svxz1 %ymm12 +#define svxz2 %ymm13 +#define svxz3 %ymm14 +#define svxz4 %ymm15 +#define d0 %r9 +#define d1 %r10 +#define d2 %r11 +#define d3 %r12 +#define d4 %r13 + +ENTRY(poly1305_asm_4block_avx2) + # %rdi: Accumulator h[5] + # %rsi: 64 byte input block m + # %rdx: Poly1305 key r[5] + # %rcx: Quadblock count + # %r8: Poly1305 derived key r^2 u[5], r^3 w[5], r^4 y[5], + + # This four-block variant uses loop unrolled block processing. It + # requires 4 Poly1305 keys: r, r^2, r^3 and r^4: + # h = (h + m) * r => h = (h + m1) * r^4 + m2 * r^3 + m3 * r^2 + m4 * r + + vzeroupper + push %rbx + push %r12 + push %r13 + + # combine r0,u0,w0,y0 + vmovd y0,ruwy0x + vmovd w0,t1x + vpunpcklqdq t1,ruwy0,ruwy0 + vmovd u0,t1x + vmovd r0,t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,ruwy0,ruwy0 + + # combine r1,u1,w1,y1 and s1=r1*5,v1=u1*5,x1=w1*5,z1=y1*5 + vmovd y1,ruwy1x + vmovd w1,t1x + vpunpcklqdq t1,ruwy1,ruwy1 + vmovd u1,t1x + vmovd r1,t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,ruwy1,ruwy1 + vpslld $2,ruwy1,svxz1 + vpaddd ruwy1,svxz1,svxz1 + + # combine r2,u2,w2,y2 and s2=r2*5,v2=u2*5,x2=w2*5,z2=y2*5 + vmovd y2,ruwy2x + vmovd w2,t1x + vpunpcklqdq t1,ruwy2,ruwy2 + vmovd u2,t1x + vmovd r2,t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,ruwy2,ruwy2 + vpslld $2,ruwy2,svxz2 + vpaddd ruwy2,svxz2,svxz2 + + # combine r3,u3,w3,y3 and s3=r3*5,v3=u3*5,x3=w3*5,z3=y3*5 + vmovd y3,ruwy3x + vmovd w3,t1x + vpunpcklqdq t1,ruwy3,ruwy3 + vmovd u3,t1x + vmovd r3,t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,ruwy3,ruwy3 + vpslld $2,ruwy3,svxz3 + vpaddd ruwy3,svxz3,svxz3 + + # combine r4,u4,w4,y4 and s4=r4*5,v4=u4*5,x4=w4*5,z4=y4*5 + vmovd y4,ruwy4x + vmovd w4,t1x + vpunpcklqdq t1,ruwy4,ruwy4 + vmovd u4,t1x + vmovd r4,t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,ruwy4,ruwy4 + vpslld $2,ruwy4,svxz4 + vpaddd ruwy4,svxz4,svxz4 + +.Ldoblock4: + # hc0 = [m[48-51] & 0x3ffffff, m[32-35] & 0x3ffffff, + # m[16-19] & 0x3ffffff, m[ 0- 3] & 0x3ffffff + h0] + vmovd 0x00(m),hc0x + vmovd 0x10(m),t1x + vpunpcklqdq t1,hc0,hc0 + vmovd 0x20(m),t1x + vmovd 0x30(m),t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,hc0,hc0 + vpand ANMASK(%rip),hc0,hc0 + vmovd h0,t1x + vpaddd t1,hc0,hc0 + # hc1 = [(m[51-54] >> 2) & 0x3ffffff, (m[35-38] >> 2) & 0x3ffffff, + # (m[19-22] >> 2) & 0x3ffffff, (m[ 3- 6] >> 2) & 0x3ffffff + h1] + vmovd 0x03(m),hc1x + vmovd 0x13(m),t1x + vpunpcklqdq t1,hc1,hc1 + vmovd 0x23(m),t1x + vmovd 0x33(m),t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,hc1,hc1 + vpsrld $2,hc1,hc1 + vpand ANMASK(%rip),hc1,hc1 + vmovd h1,t1x + vpaddd t1,hc1,hc1 + # hc2 = [(m[54-57] >> 4) & 0x3ffffff, (m[38-41] >> 4) & 0x3ffffff, + # (m[22-25] >> 4) & 0x3ffffff, (m[ 6- 9] >> 4) & 0x3ffffff + h2] + vmovd 0x06(m),hc2x + vmovd 0x16(m),t1x + vpunpcklqdq t1,hc2,hc2 + vmovd 0x26(m),t1x + vmovd 0x36(m),t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,hc2,hc2 + vpsrld $4,hc2,hc2 + vpand ANMASK(%rip),hc2,hc2 + vmovd h2,t1x + vpaddd t1,hc2,hc2 + # hc3 = [(m[57-60] >> 6) & 0x3ffffff, (m[41-44] >> 6) & 0x3ffffff, + # (m[25-28] >> 6) & 0x3ffffff, (m[ 9-12] >> 6) & 0x3ffffff + h3] + vmovd 0x09(m),hc3x + vmovd 0x19(m),t1x + vpunpcklqdq t1,hc3,hc3 + vmovd 0x29(m),t1x + vmovd 0x39(m),t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,hc3,hc3 + vpsrld $6,hc3,hc3 + vpand ANMASK(%rip),hc3,hc3 + vmovd h3,t1x + vpaddd t1,hc3,hc3 + # hc4 = [(m[60-63] >> 8) | (1<<24), (m[44-47] >> 8) | (1<<24), + # (m[28-31] >> 8) | (1<<24), (m[12-15] >> 8) | (1<<24) + h4] + vmovd 0x0c(m),hc4x + vmovd 0x1c(m),t1x + vpunpcklqdq t1,hc4,hc4 + vmovd 0x2c(m),t1x + vmovd 0x3c(m),t2x + vpunpcklqdq t2,t1,t1 + vperm2i128 $0x20,t1,hc4,hc4 + vpsrld $8,hc4,hc4 + vpor ORMASK(%rip),hc4,hc4 + vmovd h4,t1x + vpaddd t1,hc4,hc4 + + # t1 = [ hc0[3] * r0, hc0[2] * u0, hc0[1] * w0, hc0[0] * y0 ] + vpmuludq hc0,ruwy0,t1 + # t1 += [ hc1[3] * s4, hc1[2] * v4, hc1[1] * x4, hc1[0] * z4 ] + vpmuludq hc1,svxz4,t2 + vpaddq t2,t1,t1 + # t1 += [ hc2[3] * s3, hc2[2] * v3, hc2[1] * x3, hc2[0] * z3 ] + vpmuludq hc2,svxz3,t2 + vpaddq t2,t1,t1 + # t1 += [ hc3[3] * s2, hc3[2] * v2, hc3[1] * x2, hc3[0] * z2 ] + vpmuludq hc3,svxz2,t2 + vpaddq t2,t1,t1 + # t1 += [ hc4[3] * s1, hc4[2] * v1, hc4[1] * x1, hc4[0] * z1 ] + vpmuludq hc4,svxz1,t2 + vpaddq t2,t1,t1 + # d0 = t1[0] + t1[1] + t[2] + t[3] + vpermq $0xee,t1,t2 + vpaddq t2,t1,t1 + vpsrldq $8,t1,t2 + vpaddq t2,t1,t1 + vmovq t1x,d0 + + # t1 = [ hc0[3] * r1, hc0[2] * u1,hc0[1] * w1, hc0[0] * y1 ] + vpmuludq hc0,ruwy1,t1 + # t1 += [ hc1[3] * r0, hc1[2] * u0, hc1[1] * w0, hc1[0] * y0 ] + vpmuludq hc1,ruwy0,t2 + vpaddq t2,t1,t1 + # t1 += [ hc2[3] * s4, hc2[2] * v4, hc2[1] * x4, hc2[0] * z4 ] + vpmuludq hc2,svxz4,t2 + vpaddq t2,t1,t1 + # t1 += [ hc3[3] * s3, hc3[2] * v3, hc3[1] * x3, hc3[0] * z3 ] + vpmuludq hc3,svxz3,t2 + vpaddq t2,t1,t1 + # t1 += [ hc4[3] * s2, hc4[2] * v2, hc4[1] * x2, hc4[0] * z2 ] + vpmuludq hc4,svxz2,t2 + vpaddq t2,t1,t1 + # d1 = t1[0] + t1[1] + t1[3] + t1[4] + vpermq $0xee,t1,t2 + vpaddq t2,t1,t1 + vpsrldq $8,t1,t2 + vpaddq t2,t1,t1 + vmovq t1x,d1 + + # t1 = [ hc0[3] * r2, hc0[2] * u2, hc0[1] * w2, hc0[0] * y2 ] + vpmuludq hc0,ruwy2,t1 + # t1 += [ hc1[3] * r1, hc1[2] * u1, hc1[1] * w1, hc1[0] * y1 ] + vpmuludq hc1,ruwy1,t2 + vpaddq t2,t1,t1 + # t1 += [ hc2[3] * r0, hc2[2] * u0, hc2[1] * w0, hc2[0] * y0 ] + vpmuludq hc2,ruwy0,t2 + vpaddq t2,t1,t1 + # t1 += [ hc3[3] * s4, hc3[2] * v4, hc3[1] * x4, hc3[0] * z4 ] + vpmuludq hc3,svxz4,t2 + vpaddq t2,t1,t1 + # t1 += [ hc4[3] * s3, hc4[2] * v3, hc4[1] * x3, hc4[0] * z3 ] + vpmuludq hc4,svxz3,t2 + vpaddq t2,t1,t1 + # d2 = t1[0] + t1[1] + t1[2] + t1[3] + vpermq $0xee,t1,t2 + vpaddq t2,t1,t1 + vpsrldq $8,t1,t2 + vpaddq t2,t1,t1 + vmovq t1x,d2 + + # t1 = [ hc0[3] * r3, hc0[2] * u3, hc0[1] * w3, hc0[0] * y3 ] + vpmuludq hc0,ruwy3,t1 + # t1 += [ hc1[3] * r2, hc1[2] * u2, hc1[1] * w2, hc1[0] * y2 ] + vpmuludq hc1,ruwy2,t2 + vpaddq t2,t1,t1 + # t1 += [ hc2[3] * r1, hc2[2] * u1, hc2[1] * w1, hc2[0] * y1 ] + vpmuludq hc2,ruwy1,t2 + vpaddq t2,t1,t1 + # t1 += [ hc3[3] * r0, hc3[2] * u0, hc3[1] * w0, hc3[0] * y0 ] + vpmuludq hc3,ruwy0,t2 + vpaddq t2,t1,t1 + # t1 += [ hc4[3] * s4, hc4[2] * v4, hc4[1] * x4, hc4[0] * z4 ] + vpmuludq hc4,svxz4,t2 + vpaddq t2,t1,t1 + # d3 = t1[0] + t1[1] + t1[2] + t1[3] + vpermq $0xee,t1,t2 + vpaddq t2,t1,t1 + vpsrldq $8,t1,t2 + vpaddq t2,t1,t1 + vmovq t1x,d3 + + # t1 = [ hc0[3] * r4, hc0[2] * u4, hc0[1] * w4, hc0[0] * y4 ] + vpmuludq hc0,ruwy4,t1 + # t1 += [ hc1[3] * r3, hc1[2] * u3, hc1[1] * w3, hc1[0] * y3 ] + vpmuludq hc1,ruwy3,t2 + vpaddq t2,t1,t1 + # t1 += [ hc2[3] * r2, hc2[2] * u2, hc2[1] * w2, hc2[0] * y2 ] + vpmuludq hc2,ruwy2,t2 + vpaddq t2,t1,t1 + # t1 += [ hc3[3] * r1, hc3[2] * u1, hc3[1] * w1, hc3[0] * y1 ] + vpmuludq hc3,ruwy1,t2 + vpaddq t2,t1,t1 + # t1 += [ hc4[3] * r0, hc4[2] * u0, hc4[1] * w0, hc4[0] * y0 ] + vpmuludq hc4,ruwy0,t2 + vpaddq t2,t1,t1 + # d4 = t1[0] + t1[1] + t1[2] + t1[3] + vpermq $0xee,t1,t2 + vpaddq t2,t1,t1 + vpsrldq $8,t1,t2 + vpaddq t2,t1,t1 + vmovq t1x,d4 + + # d1 += d0 >> 26 + mov d0,%rax + shr $26,%rax + add %rax,d1 + # h0 = d0 & 0x3ffffff + mov d0,%rbx + and $0x3ffffff,%ebx + + # d2 += d1 >> 26 + mov d1,%rax + shr $26,%rax + add %rax,d2 + # h1 = d1 & 0x3ffffff + mov d1,%rax + and $0x3ffffff,%eax + mov %eax,h1 + + # d3 += d2 >> 26 + mov d2,%rax + shr $26,%rax + add %rax,d3 + # h2 = d2 & 0x3ffffff + mov d2,%rax + and $0x3ffffff,%eax + mov %eax,h2 + + # d4 += d3 >> 26 + mov d3,%rax + shr $26,%rax + add %rax,d4 + # h3 = d3 & 0x3ffffff + mov d3,%rax + and $0x3ffffff,%eax + mov %eax,h3 + + # h0 += (d4 >> 26) * 5 + mov d4,%rax + shr $26,%rax + lea (%eax,%eax,4),%eax + add %eax,%ebx + # h4 = d4 & 0x3ffffff + mov d4,%rax + and $0x3ffffff,%eax + mov %eax,h4 + + # h1 += h0 >> 26 + mov %ebx,%eax + shr $26,%eax + add %eax,h1 + # h0 = h0 & 0x3ffffff + andl $0x3ffffff,%ebx + mov %ebx,h0 + + add $0x40,m + dec %rcx + jnz .Ldoblock4 + + vzeroupper + pop %r13 + pop %r12 + pop %rbx + ret +ENDPROC(poly1305_asm_4block_avx2) diff --git a/src/crypto/poly1305-sse2-x86_64.S b/src/crypto/poly1305-sse2-x86_64.S new file mode 100644 index 0000000..97fa41f --- /dev/null +++ b/src/crypto/poly1305-sse2-x86_64.S @@ -0,0 +1,582 @@ +/* + * Poly1305 authenticator algorithm, RFC7539, x64 SSE2 functions + * + * Copyright (C) 2015 Martin Willi + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + */ + +#include <linux/linkage.h> + +.data +.align 16 + +ANMASK: .octa 0x0000000003ffffff0000000003ffffff +ORMASK: .octa 0x00000000010000000000000001000000 + +.text + +#define h0 0x00(%rdi) +#define h1 0x04(%rdi) +#define h2 0x08(%rdi) +#define h3 0x0c(%rdi) +#define h4 0x10(%rdi) +#define r0 0x00(%rdx) +#define r1 0x04(%rdx) +#define r2 0x08(%rdx) +#define r3 0x0c(%rdx) +#define r4 0x10(%rdx) +#define s1 0x00(%rsp) +#define s2 0x04(%rsp) +#define s3 0x08(%rsp) +#define s4 0x0c(%rsp) +#define m %rsi +#define h01 %xmm0 +#define h23 %xmm1 +#define h44 %xmm2 +#define t1 %xmm3 +#define t2 %xmm4 +#define t3 %xmm5 +#define t4 %xmm6 +#define mask %xmm7 +#define d0 %r8 +#define d1 %r9 +#define d2 %r10 +#define d3 %r11 +#define d4 %r12 + +ENTRY(poly1305_asm_block_sse2) + # %rdi: Accumulator h[5] + # %rsi: 16 byte input block m + # %rdx: Poly1305 key r[5] + # %rcx: Block count + + # This single block variant tries to improve performance by doing two + # multiplications in parallel using SSE instructions. There is quite + # some quardword packing involved, hence the speedup is marginal. + + push %rbx + push %r12 + sub $0x10,%rsp + + # s1..s4 = r1..r4 * 5 + mov r1,%eax + lea (%eax,%eax,4),%eax + mov %eax,s1 + mov r2,%eax + lea (%eax,%eax,4),%eax + mov %eax,s2 + mov r3,%eax + lea (%eax,%eax,4),%eax + mov %eax,s3 + mov r4,%eax + lea (%eax,%eax,4),%eax + mov %eax,s4 + + movdqa ANMASK(%rip),mask + +.Ldoblock: + # h01 = [0, h1, 0, h0] + # h23 = [0, h3, 0, h2] + # h44 = [0, h4, 0, h4] + movd h0,h01 + movd h1,t1 + movd h2,h23 + movd h3,t2 + movd h4,h44 + punpcklqdq t1,h01 + punpcklqdq t2,h23 + punpcklqdq h44,h44 + + # h01 += [ (m[3-6] >> 2) & 0x3ffffff, m[0-3] & 0x3ffffff ] + movd 0x00(m),t1 + movd 0x03(m),t2 + psrld $2,t2 + punpcklqdq t2,t1 + pand mask,t1 + paddd t1,h01 + # h23 += [ (m[9-12] >> 6) & 0x3ffffff, (m[6-9] >> 4) & 0x3ffffff ] + movd 0x06(m),t1 + movd 0x09(m),t2 + psrld $4,t1 + psrld $6,t2 + punpcklqdq t2,t1 + pand mask,t1 + paddd t1,h23 + # h44 += [ (m[12-15] >> 8) | (1 << 24), (m[12-15] >> 8) | (1 << 24) ] + mov 0x0c(m),%eax + shr $8,%eax + or $0x01000000,%eax + movd %eax,t1 + pshufd $0xc4,t1,t1 + paddd t1,h44 + + # t1[0] = h0 * r0 + h2 * s3 + # t1[1] = h1 * s4 + h3 * s2 + movd r0,t1 + movd s4,t2 + punpcklqdq t2,t1 + pmuludq h01,t1 + movd s3,t2 + movd s2,t3 + punpcklqdq t3,t2 + pmuludq h23,t2 + paddq t2,t1 + # t2[0] = h0 * r1 + h2 * s4 + # t2[1] = h1 * r0 + h3 * s3 + movd r1,t2 + movd r0,t3 + punpcklqdq t3,t2 + pmuludq h01,t2 + movd s4,t3 + movd s3,t4 + punpcklqdq t4,t3 + pmuludq h23,t3 + paddq t3,t2 + # t3[0] = h4 * s1 + # t3[1] = h4 * s2 + movd s1,t3 + movd s2,t4 + punpcklqdq t4,t3 + pmuludq h44,t3 + # d0 = t1[0] + t1[1] + t3[0] + # d1 = t2[0] + t2[1] + t3[1] + movdqa t1,t4 + punpcklqdq t2,t4 + punpckhqdq t2,t1 + paddq t4,t1 + paddq t3,t1 + movq t1,d0 + psrldq $8,t1 + movq t1,d1 + + # t1[0] = h0 * r2 + h2 * r0 + # t1[1] = h1 * r1 + h3 * s4 + movd r2,t1 + movd r1,t2 + punpcklqdq t2,t1 + pmuludq h01,t1 + movd r0,t2 + movd s4,t3 + punpcklqdq t3,t2 + pmuludq h23,t2 + paddq t2,t1 + # t2[0] = h0 * r3 + h2 * r1 + # t2[1] = h1 * r2 + h3 * r0 + movd r3,t2 + movd r2,t3 + punpcklqdq t3,t2 + pmuludq h01,t2 + movd r1,t3 + movd r0,t4 + punpcklqdq t4,t3 + pmuludq h23,t3 + paddq t3,t2 + # t3[0] = h4 * s3 + # t3[1] = h4 * s4 + movd s3,t3 + movd s4,t4 + punpcklqdq t4,t3 + pmuludq h44,t3 + # d2 = t1[0] + t1[1] + t3[0] + # d3 = t2[0] + t2[1] + t3[1] + movdqa t1,t4 + punpcklqdq t2,t4 + punpckhqdq t2,t1 + paddq t4,t1 + paddq t3,t1 + movq t1,d2 + psrldq $8,t1 + movq t1,d3 + + # t1[0] = h0 * r4 + h2 * r2 + # t1[1] = h1 * r3 + h3 * r1 + movd r4,t1 + movd r3,t2 + punpcklqdq t2,t1 + pmuludq h01,t1 + movd r2,t2 + movd r1,t3 + punpcklqdq t3,t2 + pmuludq h23,t2 + paddq t2,t1 + # t3[0] = h4 * r0 + movd r0,t3 + pmuludq h44,t3 + # d4 = t1[0] + t1[1] + t3[0] + movdqa t1,t4 + psrldq $8,t4 + paddq t4,t1 + paddq t3,t1 + movq t1,d4 + + # d1 += d0 >> 26 + mov d0,%rax + shr $26,%rax + add %rax,d1 + # h0 = d0 & 0x3ffffff + mov d0,%rbx + and $0x3ffffff,%ebx + + # d2 += d1 >> 26 + mov d1,%rax + shr $26,%rax + add %rax,d2 + # h1 = d1 & 0x3ffffff + mov d1,%rax + and $0x3ffffff,%eax + mov %eax,h1 + + # d3 += d2 >> 26 + mov d2,%rax + shr $26,%rax + add %rax,d3 + # h2 = d2 & 0x3ffffff + mov d2,%rax + and $0x3ffffff,%eax + mov %eax,h2 + + # d4 += d3 >> 26 + mov d3,%rax + shr $26,%rax + add %rax,d4 + # h3 = d3 & 0x3ffffff + mov d3,%rax + and $0x3ffffff,%eax + mov %eax,h3 + + # h0 += (d4 >> 26) * 5 + mov d4,%rax + shr $26,%rax + lea (%eax,%eax,4),%eax + add %eax,%ebx + # h4 = d4 & 0x3ffffff + mov d4,%rax + and $0x3ffffff,%eax + mov %eax,h4 + + # h1 += h0 >> 26 + mov %ebx,%eax + shr $26,%eax + add %eax,h1 + # h0 = h0 & 0x3ffffff + andl $0x3ffffff,%ebx + mov %ebx,h0 + + add $0x10,m + dec %rcx + jnz .Ldoblock + + add $0x10,%rsp + pop %r12 + pop %rbx + ret +ENDPROC(poly1305_asm_block_sse2) + + +#define u0 0x00(%r8) +#define u1 0x04(%r8) +#define u2 0x08(%r8) +#define u3 0x0c(%r8) +#define u4 0x10(%r8) +#define hc0 %xmm0 +#define hc1 %xmm1 +#define hc2 %xmm2 +#define hc3 %xmm5 +#define hc4 %xmm6 +#define ru0 %xmm7 +#define ru1 %xmm8 +#define ru2 %xmm9 +#define ru3 %xmm10 +#define ru4 %xmm11 +#define sv1 %xmm12 +#define sv2 %xmm13 +#define sv3 %xmm14 +#define sv4 %xmm15 +#undef d0 +#define d0 %r13 + +ENTRY(poly1305_asm_2block_sse2) + # %rdi: Accumulator h[5] + # %rsi: 16 byte input block m + # %rdx: Poly1305 key r[5] + # %rcx: Doubleblock count + # %r8: Poly1305 derived key r^2 u[5] + + # This two-block variant further improves performance by using loop + # unrolled block processing. This is more straight forward and does + # less byte shuffling, but requires a second Poly1305 key r^2: + # h = (h + m) * r => h = (h + m1) * r^2 + m2 * r + + push %rbx + push %r12 + push %r13 + + # combine r0,u0 + movd u0,ru0 + movd r0,t1 + punpcklqdq t1,ru0 + + # combine r1,u1 and s1=r1*5,v1=u1*5 + movd u1,ru1 + movd r1,t1 + punpcklqdq t1,ru1 + movdqa ru1,sv1 + pslld $2,sv1 + paddd ru1,sv1 + + # combine r2,u2 and s2=r2*5,v2=u2*5 + movd u2,ru2 + movd r2,t1 + punpcklqdq t1,ru2 + movdqa ru2,sv2 + pslld $2,sv2 + paddd ru2,sv2 + + # combine r3,u3 and s3=r3*5,v3=u3*5 + movd u3,ru3 + movd r3,t1 + punpcklqdq t1,ru3 + movdqa ru3,sv3 + pslld $2,sv3 + paddd ru3,sv3 + + # combine r4,u4 and s4=r4*5,v4=u4*5 + movd u4,ru4 + movd r4,t1 + punpcklqdq t1,ru4 + movdqa ru4,sv4 + pslld $2,sv4 + paddd ru4,sv4 + +.Ldoblock2: + # hc0 = [ m[16-19] & 0x3ffffff, h0 + m[0-3] & 0x3ffffff ] + movd 0x00(m),hc0 + movd 0x10(m),t1 + punpcklqdq t1,hc0 + pand ANMASK(%rip),hc0 + movd h0,t1 + paddd t1,hc0 + # hc1 = [ (m[19-22] >> 2) & 0x3ffffff, h1 + (m[3-6] >> 2) & 0x3ffffff ] + movd 0x03(m),hc1 + movd 0x13(m),t1 + punpcklqdq t1,hc1 + psrld $2,hc1 + pand ANMASK(%rip),hc1 + movd h1,t1 + paddd t1,hc1 + # hc2 = [ (m[22-25] >> 4) & 0x3ffffff, h2 + (m[6-9] >> 4) & 0x3ffffff ] + movd 0x06(m),hc2 + movd 0x16(m),t1 + punpcklqdq t1,hc2 + psrld $4,hc2 + pand ANMASK(%rip),hc2 + movd h2,t1 + paddd t1,hc2 + # hc3 = [ (m[25-28] >> 6) & 0x3ffffff, h3 + (m[9-12] >> 6) & 0x3ffffff ] + movd 0x09(m),hc3 + movd 0x19(m),t1 + punpcklqdq t1,hc3 + psrld $6,hc3 + pand ANMASK(%rip),hc3 + movd h3,t1 + paddd t1,hc3 + # hc4 = [ (m[28-31] >> 8) | (1<<24), h4 + (m[12-15] >> 8) | (1<<24) ] + movd 0x0c(m),hc4 + movd 0x1c(m),t1 + punpcklqdq t1,hc4 + psrld $8,hc4 + por ORMASK(%rip),hc4 + movd h4,t1 + paddd t1,hc4 + + # t1 = [ hc0[1] * r0, hc0[0] * u0 ] + movdqa ru0,t1 + pmuludq hc0,t1 + # t1 += [ hc1[1] * s4, hc1[0] * v4 ] + movdqa sv4,t2 + pmuludq hc1,t2 + paddq t2,t1 + # t1 += [ hc2[1] * s3, hc2[0] * v3 ] + movdqa sv3,t2 + pmuludq hc2,t2 + paddq t2,t1 + # t1 += [ hc3[1] * s2, hc3[0] * v2 ] + movdqa sv2,t2 + pmuludq hc3,t2 + paddq t2,t1 + # t1 += [ hc4[1] * s1, hc4[0] * v1 ] + movdqa sv1,t2 + pmuludq hc4,t2 + paddq t2,t1 + # d0 = t1[0] + t1[1] + movdqa t1,t2 + psrldq $8,t2 + paddq t2,t1 + movq t1,d0 + + # t1 = [ hc0[1] * r1, hc0[0] * u1 ] + movdqa ru1,t1 + pmuludq hc0,t1 + # t1 += [ hc1[1] * r0, hc1[0] * u0 ] + movdqa ru0,t2 + pmuludq hc1,t2 + paddq t2,t1 + # t1 += [ hc2[1] * s4, hc2[0] * v4 ] + movdqa sv4,t2 + pmuludq hc2,t2 + paddq t2,t1 + # t1 += [ hc3[1] * s3, hc3[0] * v3 ] + movdqa sv3,t2 + pmuludq hc3,t2 + paddq t2,t1 + # t1 += [ hc4[1] * s2, hc4[0] * v2 ] + movdqa sv2,t2 + pmuludq hc4,t2 + paddq t2,t1 + # d1 = t1[0] + t1[1] + movdqa t1,t2 + psrldq $8,t2 + paddq t2,t1 + movq t1,d1 + + # t1 = [ hc0[1] * r2, hc0[0] * u2 ] + movdqa ru2,t1 + pmuludq hc0,t1 + # t1 += [ hc1[1] * r1, hc1[0] * u1 ] + movdqa ru1,t2 + pmuludq hc1,t2 + paddq t2,t1 + # t1 += [ hc2[1] * r0, hc2[0] * u0 ] + movdqa ru0,t2 + pmuludq hc2,t2 + paddq t2,t1 + # t1 += [ hc3[1] * s4, hc3[0] * v4 ] + movdqa sv4,t2 + pmuludq hc3,t2 + paddq t2,t1 + # t1 += [ hc4[1] * s3, hc4[0] * v3 ] + movdqa sv3,t2 + pmuludq hc4,t2 + paddq t2,t1 + # d2 = t1[0] + t1[1] + movdqa t1,t2 + psrldq $8,t2 + paddq t2,t1 + movq t1,d2 + + # t1 = [ hc0[1] * r3, hc0[0] * u3 ] + movdqa ru3,t1 + pmuludq hc0,t1 + # t1 += [ hc1[1] * r2, hc1[0] * u2 ] + movdqa ru2,t2 + pmuludq hc1,t2 + paddq t2,t1 + # t1 += [ hc2[1] * r1, hc2[0] * u1 ] + movdqa ru1,t2 + pmuludq hc2,t2 + paddq t2,t1 + # t1 += [ hc3[1] * r0, hc3[0] * u0 ] + movdqa ru0,t2 + pmuludq hc3,t2 + paddq t2,t1 + # t1 += [ hc4[1] * s4, hc4[0] * v4 ] + movdqa sv4,t2 + pmuludq hc4,t2 + paddq t2,t1 + # d3 = t1[0] + t1[1] + movdqa t1,t2 + psrldq $8,t2 + paddq t2,t1 + movq t1,d3 + + # t1 = [ hc0[1] * r4, hc0[0] * u4 ] + movdqa ru4,t1 + pmuludq hc0,t1 + # t1 += [ hc1[1] * r3, hc1[0] * u3 ] + movdqa ru3,t2 + pmuludq hc1,t2 + paddq t2,t1 + # t1 += [ hc2[1] * r2, hc2[0] * u2 ] + movdqa ru2,t2 + pmuludq hc2,t2 + paddq t2,t1 + # t1 += [ hc3[1] * r1, hc3[0] * u1 ] + movdqa ru1,t2 + pmuludq hc3,t2 + paddq t2,t1 + # t1 += [ hc4[1] * r0, hc4[0] * u0 ] + movdqa ru0,t2 + pmuludq hc4,t2 + paddq t2,t1 + # d4 = t1[0] + t1[1] + movdqa t1,t2 + psrldq $8,t2 + paddq t2,t1 + movq t1,d4 + + # d1 += d0 >> 26 + mov d0,%rax + shr $26,%rax + add %rax,d1 + # h0 = d0 & 0x3ffffff + mov d0,%rbx + and $0x3ffffff,%ebx + + # d2 += d1 >> 26 + mov d1,%rax + shr $26,%rax + add %rax,d2 + # h1 = d1 & 0x3ffffff + mov d1,%rax + and $0x3ffffff,%eax + mov %eax,h1 + + # d3 += d2 >> 26 + mov d2,%rax + shr $26,%rax + add %rax,d3 + # h2 = d2 & 0x3ffffff + mov d2,%rax + and $0x3ffffff,%eax + mov %eax,h2 + + # d4 += d3 >> 26 + mov d3,%rax + shr $26,%rax + add %rax,d4 + # h3 = d3 & 0x3ffffff + mov d3,%rax + and $0x3ffffff,%eax + mov %eax,h3 + + # h0 += (d4 >> 26) * 5 + mov d4,%rax + shr $26,%rax + lea (%eax,%eax,4),%eax + add %eax,%ebx + # h4 = d4 & 0x3ffffff + mov d4,%rax + and $0x3ffffff,%eax + mov %eax,h4 + + # h1 += h0 >> 26 + mov %ebx,%eax + shr $26,%eax + add %eax,h1 + # h0 = h0 & 0x3ffffff + andl $0x3ffffff,%ebx + mov %ebx,h0 + + add $0x20,m + dec %rcx + jnz .Ldoblock2 + + pop %r13 + pop %r12 + pop %rbx + ret +ENDPROC(poly1305_asm_2block_sse2) diff --git a/src/crypto/siphash24.c b/src/crypto/siphash24.c new file mode 100644 index 0000000..093c837 --- /dev/null +++ b/src/crypto/siphash24.c @@ -0,0 +1,155 @@ +/* Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. */ + +#include "../wireguard.h" +#include "siphash24.h" +#include <linux/kernel.h> + +#define ROTL(x,b) (uint64_t)(((x) << (b)) | ((x) >> (64 - (b)))) +#define U8TO64(p) le64_to_cpu(*(__le64 *)(p)) + +#define SIPROUND \ + do { \ + v0 += v1; v1 = ROTL(v1, 13); v1 ^= v0; v0 = ROTL(v0, 32); \ + v2 += v3; v3 = ROTL(v3, 16); v3 ^= v2; \ + v0 += v3; v3 = ROTL(v3, 21); v3 ^= v0; \ + v2 += v1; v1 = ROTL(v1, 17); v1 ^= v2; v2 = ROTL(v2, 32); \ + } while(0) + +__attribute__((optimize("unroll-loops"))) +uint64_t siphash24(const uint8_t *data, size_t len, const uint8_t key[SIPHASH24_KEY_LEN]) +{ + uint64_t v0 = 0x736f6d6570736575ULL; + uint64_t v1 = 0x646f72616e646f6dULL; + uint64_t v2 = 0x6c7967656e657261ULL; + uint64_t v3 = 0x7465646279746573ULL; + uint64_t b; + uint64_t k0 = U8TO64(key); + uint64_t k1 = U8TO64(key + sizeof(uint64_t)); + uint64_t m; + const uint8_t *end = data + len - (len % sizeof(uint64_t)); + const uint8_t left = len & (sizeof(uint64_t) - 1); + b = ((uint64_t)len) << 56; + v3 ^= k1; + v2 ^= k0; + v1 ^= k1; + v0 ^= k0; + for (; data != end; data += sizeof(uint64_t)) { + m = U8TO64(data); + v3 ^= m; + SIPROUND; + SIPROUND; + v0 ^= m; + } + switch (left) { + case 7: b |= ((uint64_t)data[6]) << 48; + case 6: b |= ((uint64_t)data[5]) << 40; + case 5: b |= ((uint64_t)data[4]) << 32; + case 4: b |= ((uint64_t)data[3]) << 24; + case 3: b |= ((uint64_t)data[2]) << 16; + case 2: b |= ((uint64_t)data[1]) << 8; + case 1: b |= ((uint64_t)data[0]); break; + case 0: break; + } + v3 ^= b; + SIPROUND; + SIPROUND; + v0 ^= b; + v2 ^= 0xff; + SIPROUND; + SIPROUND; + SIPROUND; + SIPROUND; + b = (v0 ^ v1) ^ (v2 ^ v3); + return (__force uint64_t)cpu_to_le64(b); +} + +#ifdef DEBUG +static const uint8_t test_vectors[64][8] = { + { 0x31, 0x0e, 0x0e, 0xdd, 0x47, 0xdb, 0x6f, 0x72 }, + { 0xfd, 0x67, 0xdc, 0x93, 0xc5, 0x39, 0xf8, 0x74 }, + { 0x5a, 0x4f, 0xa9, 0xd9, 0x09, 0x80, 0x6c, 0x0d }, + { 0x2d, 0x7e, 0xfb, 0xd7, 0x96, 0x66, 0x67, 0x85 }, + { 0xb7, 0x87, 0x71, 0x27, 0xe0, 0x94, 0x27, 0xcf }, + { 0x8d, 0xa6, 0x99, 0xcd, 0x64, 0x55, 0x76, 0x18 }, + { 0xce, 0xe3, 0xfe, 0x58, 0x6e, 0x46, 0xc9, 0xcb }, + { 0x37, 0xd1, 0x01, 0x8b, 0xf5, 0x00, 0x02, 0xab }, + { 0x62, 0x24, 0x93, 0x9a, 0x79, 0xf5, 0xf5, 0x93 }, + { 0xb0, 0xe4, 0xa9, 0x0b, 0xdf, 0x82, 0x00, 0x9e }, + { 0xf3, 0xb9, 0xdd, 0x94, 0xc5, 0xbb, 0x5d, 0x7a }, + { 0xa7, 0xad, 0x6b, 0x22, 0x46, 0x2f, 0xb3, 0xf4 }, + { 0xfb, 0xe5, 0x0e, 0x86, 0xbc, 0x8f, 0x1e, 0x75 }, + { 0x90, 0x3d, 0x84, 0xc0, 0x27, 0x56, 0xea, 0x14 }, + { 0xee, 0xf2, 0x7a, 0x8e, 0x90, 0xca, 0x23, 0xf7 }, + { 0xe5, 0x45, 0xbe, 0x49, 0x61, 0xca, 0x29, 0xa1 }, + { 0xdb, 0x9b, 0xc2, 0x57, 0x7f, 0xcc, 0x2a, 0x3f }, + { 0x94, 0x47, 0xbe, 0x2c, 0xf5, 0xe9, 0x9a, 0x69 }, + { 0x9c, 0xd3, 0x8d, 0x96, 0xf0, 0xb3, 0xc1, 0x4b }, + { 0xbd, 0x61, 0x79, 0xa7, 0x1d, 0xc9, 0x6d, 0xbb }, + { 0x98, 0xee, 0xa2, 0x1a, 0xf2, 0x5c, 0xd6, 0xbe }, + { 0xc7, 0x67, 0x3b, 0x2e, 0xb0, 0xcb, 0xf2, 0xd0 }, + { 0x88, 0x3e, 0xa3, 0xe3, 0x95, 0x67, 0x53, 0x93 }, + { 0xc8, 0xce, 0x5c, 0xcd, 0x8c, 0x03, 0x0c, 0xa8 }, + { 0x94, 0xaf, 0x49, 0xf6, 0xc6, 0x50, 0xad, 0xb8 }, + { 0xea, 0xb8, 0x85, 0x8a, 0xde, 0x92, 0xe1, 0xbc }, + { 0xf3, 0x15, 0xbb, 0x5b, 0xb8, 0x35, 0xd8, 0x17 }, + { 0xad, 0xcf, 0x6b, 0x07, 0x63, 0x61, 0x2e, 0x2f }, + { 0xa5, 0xc9, 0x1d, 0xa7, 0xac, 0xaa, 0x4d, 0xde }, + { 0x71, 0x65, 0x95, 0x87, 0x66, 0x50, 0xa2, 0xa6 }, + { 0x28, 0xef, 0x49, 0x5c, 0x53, 0xa3, 0x87, 0xad }, + { 0x42, 0xc3, 0x41, 0xd8, 0xfa, 0x92, 0xd8, 0x32 }, + { 0xce, 0x7c, 0xf2, 0x72, 0x2f, 0x51, 0x27, 0x71 }, + { 0xe3, 0x78, 0x59, 0xf9, 0x46, 0x23, 0xf3, 0xa7 }, + { 0x38, 0x12, 0x05, 0xbb, 0x1a, 0xb0, 0xe0, 0x12 }, + { 0xae, 0x97, 0xa1, 0x0f, 0xd4, 0x34, 0xe0, 0x15 }, + { 0xb4, 0xa3, 0x15, 0x08, 0xbe, 0xff, 0x4d, 0x31 }, + { 0x81, 0x39, 0x62, 0x29, 0xf0, 0x90, 0x79, 0x02 }, + { 0x4d, 0x0c, 0xf4, 0x9e, 0xe5, 0xd4, 0xdc, 0xca }, + { 0x5c, 0x73, 0x33, 0x6a, 0x76, 0xd8, 0xbf, 0x9a }, + { 0xd0, 0xa7, 0x04, 0x53, 0x6b, 0xa9, 0x3e, 0x0e }, + { 0x92, 0x59, 0x58, 0xfc, 0xd6, 0x42, 0x0c, 0xad }, + { 0xa9, 0x15, 0xc2, 0x9b, 0xc8, 0x06, 0x73, 0x18 }, + { 0x95, 0x2b, 0x79, 0xf3, 0xbc, 0x0a, 0xa6, 0xd4 }, + { 0xf2, 0x1d, 0xf2, 0xe4, 0x1d, 0x45, 0x35, 0xf9 }, + { 0x87, 0x57, 0x75, 0x19, 0x04, 0x8f, 0x53, 0xa9 }, + { 0x10, 0xa5, 0x6c, 0xf5, 0xdf, 0xcd, 0x9a, 0xdb }, + { 0xeb, 0x75, 0x09, 0x5c, 0xcd, 0x98, 0x6c, 0xd0 }, + { 0x51, 0xa9, 0xcb, 0x9e, 0xcb, 0xa3, 0x12, 0xe6 }, + { 0x96, 0xaf, 0xad, 0xfc, 0x2c, 0xe6, 0x66, 0xc7 }, + { 0x72, 0xfe, 0x52, 0x97, 0x5a, 0x43, 0x64, 0xee }, + { 0x5a, 0x16, 0x45, 0xb2, 0x76, 0xd5, 0x92, 0xa1 }, + { 0xb2, 0x74, 0xcb, 0x8e, 0xbf, 0x87, 0x87, 0x0a }, + { 0x6f, 0x9b, 0xb4, 0x20, 0x3d, 0xe7, 0xb3, 0x81 }, + { 0xea, 0xec, 0xb2, 0xa3, 0x0b, 0x22, 0xa8, 0x7f }, + { 0x99, 0x24, 0xa4, 0x3c, 0xc1, 0x31, 0x57, 0x24 }, + { 0xbd, 0x83, 0x8d, 0x3a, 0xaf, 0xbf, 0x8d, 0xb7 }, + { 0x0b, 0x1a, 0x2a, 0x32, 0x65, 0xd5, 0x1a, 0xea }, + { 0x13, 0x50, 0x79, 0xa3, 0x23, 0x1c, 0xe6, 0x60 }, + { 0x93, 0x2b, 0x28, 0x46, 0xe4, 0xd7, 0x06, 0x66 }, + { 0xe1, 0x91, 0x5f, 0x5c, 0xb1, 0xec, 0xa4, 0x6c }, + { 0xf3, 0x25, 0x96, 0x5c, 0xa1, 0x6d, 0x62, 0x9f }, + { 0x57, 0x5f, 0xf2, 0x8e, 0x60, 0x38, 0x1b, 0xe5 }, + { 0x72, 0x45, 0x06, 0xeb, 0x4c, 0x32, 0x8a, 0x95 } +}; + +void siphash24_selftest(void) +{ + uint8_t in[64], k[16]; + uint64_t out; + bool success = true; + size_t i; + + for (i = 0; i < 16; ++i) + k[i] = (uint8_t)i; + + for (i = 0; i < 64; ++i) { + in[i] = (uint8_t)i; + out = siphash24(in, i, k); + if (memcmp(&out, test_vectors[i], 8)) { + pr_info("siphash24 self-test %zu: FAIL\n", i + 1); + success = false; + } + } + if (success) + pr_info("siphash24 self-tests: pass\n"); +} +#endif diff --git a/src/crypto/siphash24.h b/src/crypto/siphash24.h new file mode 100644 index 0000000..5ce5a3a --- /dev/null +++ b/src/crypto/siphash24.h @@ -0,0 +1,16 @@ +/* Copyright 2015-2016 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. */ + +#ifndef SIPHASH24_H +#define SIPHASH24_H + +enum siphash24_lengths { + SIPHASH24_KEY_LEN = 16 +}; + +uint64_t siphash24(const uint8_t *data, size_t len, const uint8_t key[SIPHASH24_KEY_LEN]); + +#ifdef DEBUG +void siphash24_selftest(void); +#endif + +#endif |