/* * Copyright 2014-2021 The GmSSL Project Authors. All Rights Reserved. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ /* GF(2^128) defined by f(x) = x^128 + x^7 + x^2 + x + 1 * A + B mod f(x) = a xor b * A * 2 mod f(x) */ #include #include #include #include #include #include "endian.h" gf128_t gf128_zero(void) { uint8_t zero[16] = {0}; return gf128_from_bytes(zero); } gf128_t gf128_from_hex(const char *s) { uint8_t bin[16]; hex2bin(s, strlen(s), bin); return gf128_from_bytes(bin); } int gf128_equ_hex(gf128_t a, const char *s) { uint8_t bin1[16]; uint8_t bin2[16]; hex2bin(s, strlen(s), bin1); gf128_to_bytes(a, bin2); return memcmp(bin1, bin2, sizeof(bin1)) == 0; } // FIXME: 这个函数不支持struct void gf128_print_bits(gf128_t a) { int i; for (i = 0; i < 128; i++) { printf("%d", (int)(a % 2)); //FIXME a >>= 1; } printf("\n"); } void gf128_print(const char *s, gf128_t a) { uint8_t be[16]; int i; printf("%s", s); gf128_to_bytes(a, be); for (i = 0; i < 16; i++) { printf("%02X", be[i]); } printf("\n"); } #ifdef GMSSL_HAVE_UINT128 gf128_t gf128_mul(gf128_t a, gf128_t b) { const gf128_t mask = (gf128_t)1 << 127; gf128_t r = 0; int i; for (i = 0; i < 128; i++) { // r = r * 2 if (r & mask) r = (r << 1) ^ 0x87; else r <<= 1; // if b[127-i] == 1, r = r + a if (b & mask) r ^= a; b <<= 1; } return r; } gf128_t gf128_add(gf128_t a, gf128_t b) { return a ^ b; } gf128_t gf128_mul2(gf128_t a) { if (a & ((gf128_t)1 << 127)) return (a << 1) ^ 0x87; else return (a << 1); } gf128_t gf128_reverse(gf128_t a) { gf128_t r = 0; int i; for (i = 0; i < 128; i++) { r = (r << 1) | (a & 1); a >>= 1; } return r; } gf128_t gf128_from_bytes(const uint8_t p[16]) { uint64_t hi = GETU64(p); uint64_t lo = GETU64(p + 8); gf128_t r = (gf128_t)hi << 64 | lo; r = gf128_reverse(r); return r; } void gf128_to_bytes(gf128_t a, uint8_t p[16]) { a = gf128_reverse(a); uint64_t hi = a >> 64; uint64_t lo = a; PUTU64(p, hi); PUTU64(p + 8, lo); } #else gf128_t gf128_from_bytes(const uint8_t p[16]) { gf128_t r; r.hi = GETU64(p); r.lo = GETU64(p + 8); return r; } void gf128_to_bytes(gf128_t a, uint8_t p[16]) { PUTU64(p, a.hi); PUTU64(p + 8, a.lo); } gf128_t gf128_add(gf128_t a, gf128_t b) { gf128_t r; r.hi = a.hi ^ b.hi; r.lo = a.lo ^ b.lo; return r; } gf128_t gf128_mul(gf128_t a, gf128_t b) { gf128_t r = {0, 0}; uint64_t mask = (uint64_t)1 << 63; int i; for (i = 0; i < 64; i++) { if (r.hi & mask) { r.hi = r.hi << 1 | r.lo >> 63; r.lo = (r.lo << 1); r.lo ^= 0x87; } else { r.hi = r.hi << 1 | r.lo >> 63; r.lo = r.lo << 1; } if (b.hi & mask) { r.hi ^= a.hi; r.lo ^= a.lo; } b.hi <<= 1; } for (i = 0; i < 64; i++) { if (r.hi & mask) { r.hi = r.hi << 1 | r.lo >> 63; r.lo = (r.lo << 1) ^ 0x87; } else { r.hi = r.hi << 1 | r.lo >> 63; r.lo = r.lo << 1; } if (b.lo & mask) { r.hi ^= a.hi; r.lo ^= a.lo; } b.lo <<= 1; } return r; } gf128_t gf128_mul2(gf128_t a) { gf128_t r; if (a.hi & ((uint64_t)1 << 63)) { r.hi = a.hi << 1 | a.lo >> 63; r.lo = a.lo << 1; r.lo ^= 0x87; } else { r.hi = a.hi << 1 | a.lo >> 63; r.lo = a.lo << 1; } return r; } #endif