mirror of
https://github.com/trezor/trezor-firmware.git
synced 2024-12-21 05:48:23 +00:00
220 lines
6.4 KiB
C
220 lines
6.4 KiB
C
/*
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poly1305 implementation using 32 bit * 32 bit = 64 bit multiplication and 64 bit addition
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*/
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#if defined(_MSC_VER)
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#define POLY1305_NOINLINE __declspec(noinline)
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#elif defined(__GNUC__)
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#define POLY1305_NOINLINE __attribute__((noinline))
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#else
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#define POLY1305_NOINLINE
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#endif
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#define poly1305_block_size 16
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/* 17 + sizeof(size_t) + 14*sizeof(unsigned long) */
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typedef struct poly1305_state_internal_t {
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unsigned long r[5];
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unsigned long h[5];
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unsigned long pad[4];
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size_t leftover;
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unsigned char buffer[poly1305_block_size];
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unsigned char final;
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} poly1305_state_internal_t;
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/* interpret four 8 bit unsigned integers as a 32 bit unsigned integer in little endian */
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static unsigned long
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U8TO32(const unsigned char *p) {
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return
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(((unsigned long)(p[0] & 0xff) ) |
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((unsigned long)(p[1] & 0xff) << 8) |
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((unsigned long)(p[2] & 0xff) << 16) |
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((unsigned long)(p[3] & 0xff) << 24));
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}
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/* store a 32 bit unsigned integer as four 8 bit unsigned integers in little endian */
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static void
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U32TO8(unsigned char *p, unsigned long v) {
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p[0] = (v ) & 0xff;
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p[1] = (v >> 8) & 0xff;
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p[2] = (v >> 16) & 0xff;
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p[3] = (v >> 24) & 0xff;
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}
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void
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poly1305_init(poly1305_context *ctx, const unsigned char key[32]) {
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poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
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/* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
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st->r[0] = (U8TO32(&key[ 0]) ) & 0x3ffffff;
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st->r[1] = (U8TO32(&key[ 3]) >> 2) & 0x3ffff03;
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st->r[2] = (U8TO32(&key[ 6]) >> 4) & 0x3ffc0ff;
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st->r[3] = (U8TO32(&key[ 9]) >> 6) & 0x3f03fff;
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st->r[4] = (U8TO32(&key[12]) >> 8) & 0x00fffff;
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/* h = 0 */
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st->h[0] = 0;
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st->h[1] = 0;
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st->h[2] = 0;
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st->h[3] = 0;
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st->h[4] = 0;
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/* save pad for later */
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st->pad[0] = U8TO32(&key[16]);
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st->pad[1] = U8TO32(&key[20]);
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st->pad[2] = U8TO32(&key[24]);
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st->pad[3] = U8TO32(&key[28]);
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st->leftover = 0;
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st->final = 0;
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}
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static void
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poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m, size_t bytes) {
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const unsigned long hibit = (st->final) ? 0 : (1UL << 24); /* 1 << 128 */
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unsigned long r0,r1,r2,r3,r4;
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unsigned long s1,s2,s3,s4;
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unsigned long h0,h1,h2,h3,h4;
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unsigned long long d0,d1,d2,d3,d4;
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unsigned long c;
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r0 = st->r[0];
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r1 = st->r[1];
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r2 = st->r[2];
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r3 = st->r[3];
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r4 = st->r[4];
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s1 = r1 * 5;
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s2 = r2 * 5;
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s3 = r3 * 5;
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s4 = r4 * 5;
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h0 = st->h[0];
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h1 = st->h[1];
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h2 = st->h[2];
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h3 = st->h[3];
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h4 = st->h[4];
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while (bytes >= poly1305_block_size) {
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/* h += m[i] */
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h0 += (U8TO32(m+ 0) ) & 0x3ffffff;
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h1 += (U8TO32(m+ 3) >> 2) & 0x3ffffff;
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h2 += (U8TO32(m+ 6) >> 4) & 0x3ffffff;
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h3 += (U8TO32(m+ 9) >> 6) & 0x3ffffff;
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h4 += (U8TO32(m+12) >> 8) | hibit;
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/* h *= r */
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d0 = ((unsigned long long)h0 * r0) + ((unsigned long long)h1 * s4) + ((unsigned long long)h2 * s3) + ((unsigned long long)h3 * s2) + ((unsigned long long)h4 * s1);
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d1 = ((unsigned long long)h0 * r1) + ((unsigned long long)h1 * r0) + ((unsigned long long)h2 * s4) + ((unsigned long long)h3 * s3) + ((unsigned long long)h4 * s2);
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d2 = ((unsigned long long)h0 * r2) + ((unsigned long long)h1 * r1) + ((unsigned long long)h2 * r0) + ((unsigned long long)h3 * s4) + ((unsigned long long)h4 * s3);
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d3 = ((unsigned long long)h0 * r3) + ((unsigned long long)h1 * r2) + ((unsigned long long)h2 * r1) + ((unsigned long long)h3 * r0) + ((unsigned long long)h4 * s4);
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d4 = ((unsigned long long)h0 * r4) + ((unsigned long long)h1 * r3) + ((unsigned long long)h2 * r2) + ((unsigned long long)h3 * r1) + ((unsigned long long)h4 * r0);
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/* (partial) h %= p */
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c = (unsigned long)(d0 >> 26); h0 = (unsigned long)d0 & 0x3ffffff;
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d1 += c; c = (unsigned long)(d1 >> 26); h1 = (unsigned long)d1 & 0x3ffffff;
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d2 += c; c = (unsigned long)(d2 >> 26); h2 = (unsigned long)d2 & 0x3ffffff;
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d3 += c; c = (unsigned long)(d3 >> 26); h3 = (unsigned long)d3 & 0x3ffffff;
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d4 += c; c = (unsigned long)(d4 >> 26); h4 = (unsigned long)d4 & 0x3ffffff;
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h0 += c * 5; c = (h0 >> 26); h0 = h0 & 0x3ffffff;
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h1 += c;
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m += poly1305_block_size;
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bytes -= poly1305_block_size;
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}
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st->h[0] = h0;
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st->h[1] = h1;
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st->h[2] = h2;
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st->h[3] = h3;
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st->h[4] = h4;
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}
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POLY1305_NOINLINE void
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poly1305_finish(poly1305_context *ctx, unsigned char mac[16]) {
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poly1305_state_internal_t *st = (poly1305_state_internal_t *)ctx;
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unsigned long h0,h1,h2,h3,h4,c;
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unsigned long g0,g1,g2,g3,g4;
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unsigned long long f;
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unsigned long mask;
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/* process the remaining block */
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if (st->leftover) {
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size_t i = st->leftover;
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st->buffer[i++] = 1;
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for (; i < poly1305_block_size; i++)
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st->buffer[i] = 0;
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st->final = 1;
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poly1305_blocks(st, st->buffer, poly1305_block_size);
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}
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/* fully carry h */
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h0 = st->h[0];
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h1 = st->h[1];
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h2 = st->h[2];
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h3 = st->h[3];
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h4 = st->h[4];
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c = h1 >> 26; h1 = h1 & 0x3ffffff;
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h2 += c; c = h2 >> 26; h2 = h2 & 0x3ffffff;
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h3 += c; c = h3 >> 26; h3 = h3 & 0x3ffffff;
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h4 += c; c = h4 >> 26; h4 = h4 & 0x3ffffff;
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h0 += c * 5; c = h0 >> 26; h0 = h0 & 0x3ffffff;
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h1 += c;
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/* compute h + -p */
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g0 = h0 + 5; c = g0 >> 26; g0 &= 0x3ffffff;
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g1 = h1 + c; c = g1 >> 26; g1 &= 0x3ffffff;
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g2 = h2 + c; c = g2 >> 26; g2 &= 0x3ffffff;
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g3 = h3 + c; c = g3 >> 26; g3 &= 0x3ffffff;
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g4 = h4 + c - (1UL << 26);
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/* select h if h < p, or h + -p if h >= p */
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mask = (g4 >> ((sizeof(unsigned long) * 8) - 1)) - 1;
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g0 &= mask;
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g1 &= mask;
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g2 &= mask;
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g3 &= mask;
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g4 &= mask;
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mask = ~mask;
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h0 = (h0 & mask) | g0;
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h1 = (h1 & mask) | g1;
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h2 = (h2 & mask) | g2;
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h3 = (h3 & mask) | g3;
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h4 = (h4 & mask) | g4;
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/* h = h % (2^128) */
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h0 = ((h0 ) | (h1 << 26)) & 0xffffffff;
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h1 = ((h1 >> 6) | (h2 << 20)) & 0xffffffff;
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h2 = ((h2 >> 12) | (h3 << 14)) & 0xffffffff;
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h3 = ((h3 >> 18) | (h4 << 8)) & 0xffffffff;
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/* mac = (h + pad) % (2^128) */
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f = (unsigned long long)h0 + st->pad[0] ; h0 = (unsigned long)f;
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f = (unsigned long long)h1 + st->pad[1] + (f >> 32); h1 = (unsigned long)f;
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f = (unsigned long long)h2 + st->pad[2] + (f >> 32); h2 = (unsigned long)f;
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f = (unsigned long long)h3 + st->pad[3] + (f >> 32); h3 = (unsigned long)f;
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U32TO8(mac + 0, h0);
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U32TO8(mac + 4, h1);
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U32TO8(mac + 8, h2);
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U32TO8(mac + 12, h3);
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/* zero out the state */
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st->h[0] = 0;
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st->h[1] = 0;
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st->h[2] = 0;
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st->h[3] = 0;
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st->h[4] = 0;
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st->r[0] = 0;
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st->r[1] = 0;
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st->r[2] = 0;
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st->r[3] = 0;
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st->r[4] = 0;
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st->pad[0] = 0;
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st->pad[1] = 0;
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st->pad[2] = 0;
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st->pad[3] = 0;
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}
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