/* * Copyright 2017-2022 The OpenSSL Project Authors. All Rights Reserved. * Copyright 2014 Cryptography Research, Inc. * * Licensed under the Apache License 2.0 (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html * * Originally written by Mike Hamburg */ #include "e_os.h" #include #include "internal/numbers.h" #ifndef UINT128_MAX /* No support for 128 bit ints, so do nothing here */ NON_EMPTY_TRANSLATION_UNIT #else # include "../field.h" void gf_mul(gf_s * RESTRICT cs, const gf as, const gf bs) { const uint64_t *a = as->limb, *b = bs->limb; uint64_t *c = cs->limb; uint128_t accum0 = 0, accum1 = 0, accum2; uint64_t mask = (1ULL << 56) - 1; uint64_t aa[4], bb[4], bbb[4]; unsigned int i, j; for (i = 0; i < 4; i++) { aa[i] = a[i] + a[i + 4]; bb[i] = b[i] + b[i + 4]; bbb[i] = bb[i] + b[i + 4]; } for (i = 0; i < 4; i++) { accum2 = 0; for (j = 0; j <= i; j++) { accum2 += widemul(a[j], b[i - j]); accum1 += widemul(aa[j], bb[i - j]); accum0 += widemul(a[j + 4], b[i - j + 4]); } for (; j < 4; j++) { accum2 += widemul(a[j], b[i - j + 8]); accum1 += widemul(aa[j], bbb[i - j + 4]); accum0 += widemul(a[j + 4], bb[i - j + 4]); } accum1 -= accum2; accum0 += accum2; c[i] = ((uint64_t)(accum0)) & mask; c[i + 4] = ((uint64_t)(accum1)) & mask; accum0 >>= 56; accum1 >>= 56; } accum0 += accum1; accum0 += c[4]; accum1 += c[0]; c[4] = ((uint64_t)(accum0)) & mask; c[0] = ((uint64_t)(accum1)) & mask; accum0 >>= 56; accum1 >>= 56; c[5] += ((uint64_t)(accum0)); c[1] += ((uint64_t)(accum1)); } void gf_mulw_unsigned(gf_s * RESTRICT cs, const gf as, uint32_t b) { const uint64_t *a = as->limb; uint64_t *c = cs->limb; uint128_t accum0 = 0, accum4 = 0; uint64_t mask = (1ULL << 56) - 1; int i; for (i = 0; i < 4; i++) { accum0 += widemul(b, a[i]); accum4 += widemul(b, a[i + 4]); c[i] = accum0 & mask; accum0 >>= 56; c[i + 4] = accum4 & mask; accum4 >>= 56; } accum0 += accum4 + c[4]; c[4] = accum0 & mask; c[5] += accum0 >> 56; accum4 += c[0]; c[0] = accum4 & mask; c[1] += accum4 >> 56; } void gf_sqr(gf_s * RESTRICT cs, const gf as) { const uint64_t *a = as->limb; uint64_t *c = cs->limb; uint128_t accum0 = 0, accum1 = 0, accum2; uint64_t mask = (1ULL << 56) - 1; uint64_t aa[4]; unsigned int i; /* For some reason clang doesn't vectorize this without prompting? */ for (i = 0; i < 4; i++) aa[i] = a[i] + a[i + 4]; accum2 = widemul(a[0], a[3]); accum0 = widemul(aa[0], aa[3]); accum1 = widemul(a[4], a[7]); accum2 += widemul(a[1], a[2]); accum0 += widemul(aa[1], aa[2]); accum1 += widemul(a[5], a[6]); accum0 -= accum2; accum1 += accum2; c[3] = ((uint64_t)(accum1)) << 1 & mask; c[7] = ((uint64_t)(accum0)) << 1 & mask; accum0 >>= 55; accum1 >>= 55; accum0 += widemul(2 * aa[1], aa[3]); accum1 += widemul(2 * a[5], a[7]); accum0 += widemul(aa[2], aa[2]); accum1 += accum0; accum0 -= widemul(2 * a[1], a[3]); accum1 += widemul(a[6], a[6]); accum2 = widemul(a[0], a[0]); accum1 -= accum2; accum0 += accum2; accum0 -= widemul(a[2], a[2]); accum1 += widemul(aa[0], aa[0]); accum0 += widemul(a[4], a[4]); c[0] = ((uint64_t)(accum0)) & mask; c[4] = ((uint64_t)(accum1)) & mask; accum0 >>= 56; accum1 >>= 56; accum2 = widemul(2 * aa[2], aa[3]); accum0 -= widemul(2 * a[2], a[3]); accum1 += widemul(2 * a[6], a[7]); accum1 += accum2; accum0 += accum2; accum2 = widemul(2 * a[0], a[1]); accum1 += widemul(2 * aa[0], aa[1]); accum0 += widemul(2 * a[4], a[5]); accum1 -= accum2; accum0 += accum2; c[1] = ((uint64_t)(accum0)) & mask; c[5] = ((uint64_t)(accum1)) & mask; accum0 >>= 56; accum1 >>= 56; accum2 = widemul(aa[3], aa[3]); accum0 -= widemul(a[3], a[3]); accum1 += widemul(a[7], a[7]); accum1 += accum2; accum0 += accum2; accum2 = widemul(2 * a[0], a[2]); accum1 += widemul(2 * aa[0], aa[2]); accum0 += widemul(2 * a[4], a[6]); accum2 += widemul(a[1], a[1]); accum1 += widemul(aa[1], aa[1]); accum0 += widemul(a[5], a[5]); accum1 -= accum2; accum0 += accum2; c[2] = ((uint64_t)(accum0)) & mask; c[6] = ((uint64_t)(accum1)) & mask; accum0 >>= 56; accum1 >>= 56; accum0 += c[3]; accum1 += c[7]; c[3] = ((uint64_t)(accum0)) & mask; c[7] = ((uint64_t)(accum1)) & mask; /* we could almost stop here, but it wouldn't be stable, so... */ accum0 >>= 56; accum1 >>= 56; c[4] += ((uint64_t)(accum0)) + ((uint64_t)(accum1)); c[0] += ((uint64_t)(accum1)); } #endif