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- /*
- poly1305 implementation using 64 bit * 64 bit = 128 bit multiplication
- and 128 bit addition
- */
- #include "private/common.h"
- #define MUL(out, x, y) out = ((uint128_t) x * y)
- #define ADD(out, in) out += in
- #define ADDLO(out, in) out += in
- #define SHR(in, shift) (unsigned long long) (in >> (shift))
- #define LO(in) (unsigned long long) (in)
- #if defined(_MSC_VER)
- # define POLY1305_NOINLINE __declspec(noinline)
- #elif defined(__clang__) || defined(__GNUC__)
- # define POLY1305_NOINLINE __attribute__((noinline))
- #else
- # define POLY1305_NOINLINE
- #endif
- #define poly1305_block_size 16
- /* 17 + sizeof(unsigned long long) + 8*sizeof(unsigned long long) */
- typedef struct poly1305_state_internal_t {
- unsigned long long r[3];
- unsigned long long h[3];
- unsigned long long pad[2];
- unsigned long long leftover;
- unsigned char buffer[poly1305_block_size];
- unsigned char final;
- } poly1305_state_internal_t;
- static void
- poly1305_init(poly1305_state_internal_t *st, const unsigned char key[32])
- {
- unsigned long long t0, t1;
- /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
- t0 = LOAD64_LE(&key[0]);
- t1 = LOAD64_LE(&key[8]);
- /* wiped after finalization */
- st->r[0] = (t0) & 0xffc0fffffff;
- st->r[1] = ((t0 >> 44) | (t1 << 20)) & 0xfffffc0ffff;
- st->r[2] = ((t1 >> 24)) & 0x00ffffffc0f;
- /* h = 0 */
- st->h[0] = 0;
- st->h[1] = 0;
- st->h[2] = 0;
- /* save pad for later */
- st->pad[0] = LOAD64_LE(&key[16]);
- st->pad[1] = LOAD64_LE(&key[24]);
- st->leftover = 0;
- st->final = 0;
- }
- static void
- poly1305_blocks(poly1305_state_internal_t *st, const unsigned char *m,
- unsigned long long bytes)
- {
- const unsigned long long hibit =
- (st->final) ? 0ULL : (1ULL << 40); /* 1 << 128 */
- unsigned long long r0, r1, r2;
- unsigned long long s1, s2;
- unsigned long long h0, h1, h2;
- unsigned long long c;
- uint128_t d0, d1, d2, d;
- r0 = st->r[0];
- r1 = st->r[1];
- r2 = st->r[2];
- h0 = st->h[0];
- h1 = st->h[1];
- h2 = st->h[2];
- s1 = r1 * (5 << 2);
- s2 = r2 * (5 << 2);
- while (bytes >= poly1305_block_size) {
- unsigned long long t0, t1;
- /* h += m[i] */
- t0 = LOAD64_LE(&m[0]);
- t1 = LOAD64_LE(&m[8]);
- h0 += t0 & 0xfffffffffff;
- h1 += ((t0 >> 44) | (t1 << 20)) & 0xfffffffffff;
- h2 += (((t1 >> 24)) & 0x3ffffffffff) | hibit;
- /* h *= r */
- MUL(d0, h0, r0);
- MUL(d, h1, s2);
- ADD(d0, d);
- MUL(d, h2, s1);
- ADD(d0, d);
- MUL(d1, h0, r1);
- MUL(d, h1, r0);
- ADD(d1, d);
- MUL(d, h2, s2);
- ADD(d1, d);
- MUL(d2, h0, r2);
- MUL(d, h1, r1);
- ADD(d2, d);
- MUL(d, h2, r0);
- ADD(d2, d);
- /* (partial) h %= p */
- c = SHR(d0, 44);
- h0 = LO(d0) & 0xfffffffffff;
- ADDLO(d1, c);
- c = SHR(d1, 44);
- h1 = LO(d1) & 0xfffffffffff;
- ADDLO(d2, c);
- c = SHR(d2, 42);
- h2 = LO(d2) & 0x3ffffffffff;
- h0 += c * 5;
- c = (h0 >> 44);
- h0 = h0 & 0xfffffffffff;
- h1 += c;
- m += poly1305_block_size;
- bytes -= poly1305_block_size;
- }
- st->h[0] = h0;
- st->h[1] = h1;
- st->h[2] = h2;
- }
- static POLY1305_NOINLINE void
- poly1305_finish(poly1305_state_internal_t *st, unsigned char mac[16])
- {
- unsigned long long h0, h1, h2, c;
- unsigned long long g0, g1, g2;
- unsigned long long t0, t1;
- unsigned long long mask;
- /* process the remaining block */
- if (st->leftover) {
- unsigned long long i = st->leftover;
- st->buffer[i] = 1;
- for (i = i + 1; i < poly1305_block_size; i++) {
- st->buffer[i] = 0;
- }
- st->final = 1;
- poly1305_blocks(st, st->buffer, poly1305_block_size);
- }
- /* fully carry h */
- h0 = st->h[0];
- h1 = st->h[1];
- h2 = st->h[2];
- c = h1 >> 44;
- h1 &= 0xfffffffffff;
- h2 += c;
- c = h2 >> 42;
- h2 &= 0x3ffffffffff;
- h0 += c * 5;
- c = h0 >> 44;
- h0 &= 0xfffffffffff;
- h1 += c;
- c = h1 >> 44;
- h1 &= 0xfffffffffff;
- h2 += c;
- c = h2 >> 42;
- h2 &= 0x3ffffffffff;
- h0 += c * 5;
- c = h0 >> 44;
- h0 &= 0xfffffffffff;
- h1 += c;
- /* compute h + -p */
- g0 = h0 + 5;
- c = g0 >> 44;
- g0 &= 0xfffffffffff;
- g1 = h1 + c;
- c = g1 >> 44;
- g1 &= 0xfffffffffff;
- g2 = h2 + c - (1ULL << 42);
- /* select h if h < p, or h + -p if h >= p */
- mask = (g2 >> ((sizeof(unsigned long long) * 8) - 1)) - 1;
- g0 &= mask;
- g1 &= mask;
- g2 &= mask;
- mask = ~mask;
- h0 = (h0 & mask) | g0;
- h1 = (h1 & mask) | g1;
- h2 = (h2 & mask) | g2;
- /* h = (h + pad) */
- t0 = st->pad[0];
- t1 = st->pad[1];
- h0 += ((t0) &0xfffffffffff);
- c = (h0 >> 44);
- h0 &= 0xfffffffffff;
- h1 += (((t0 >> 44) | (t1 << 20)) & 0xfffffffffff) + c;
- c = (h1 >> 44);
- h1 &= 0xfffffffffff;
- h2 += (((t1 >> 24)) & 0x3ffffffffff) + c;
- h2 &= 0x3ffffffffff;
- /* mac = h % (2^128) */
- h0 = (h0) | (h1 << 44);
- h1 = (h1 >> 20) | (h2 << 24);
- STORE64_LE(&mac[0], h0);
- STORE64_LE(&mac[8], h1);
- /* zero out the state */
- sodium_memzero((void *) st, sizeof *st);
- }
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