/* Copyright (c) 2018, Google Inc. * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ #include #include #include #include #include "internal.h" #include "../bn/internal.h" #include "../../internal.h" const EC_FELEM *ec_felem_one(const EC_GROUP *group) { // We reuse generator.Z as a cache for 1 in the field. return &group->generator.raw.Z; } int ec_bignum_to_felem(const EC_GROUP *group, EC_FELEM *out, const BIGNUM *in) { uint8_t bytes[EC_MAX_BYTES]; size_t len = BN_num_bytes(&group->field.N); assert(sizeof(bytes) >= len); if (BN_is_negative(in) || BN_cmp(in, &group->field.N) >= 0 || !BN_bn2bin_padded(bytes, len, in)) { OPENSSL_PUT_ERROR(EC, EC_R_COORDINATES_OUT_OF_RANGE); return 0; } return ec_felem_from_bytes(group, out, bytes, len); } int ec_felem_to_bignum(const EC_GROUP *group, BIGNUM *out, const EC_FELEM *in) { uint8_t bytes[EC_MAX_BYTES]; size_t len; ec_felem_to_bytes(group, bytes, &len, in); return BN_bin2bn(bytes, len, out) != NULL; } void ec_felem_to_bytes(const EC_GROUP *group, uint8_t *out, size_t *out_len, const EC_FELEM *in) { group->meth->felem_to_bytes(group, out, out_len, in); } int ec_felem_from_bytes(const EC_GROUP *group, EC_FELEM *out, const uint8_t *in, size_t len) { return group->meth->felem_from_bytes(group, out, in, len); } void ec_felem_neg(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a) { // -a is zero if a is zero and p-a otherwise. BN_ULONG mask = ec_felem_non_zero_mask(group, a); BN_ULONG borrow = bn_sub_words(out->words, group->field.N.d, a->words, group->field.N.width); assert(borrow == 0); (void)borrow; for (int i = 0; i < group->field.N.width; i++) { out->words[i] &= mask; } } void ec_felem_add(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a, const EC_FELEM *b) { EC_FELEM tmp; bn_mod_add_words(out->words, a->words, b->words, group->field.N.d, tmp.words, group->field.N.width); } void ec_felem_sub(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a, const EC_FELEM *b) { EC_FELEM tmp; bn_mod_sub_words(out->words, a->words, b->words, group->field.N.d, tmp.words, group->field.N.width); } BN_ULONG ec_felem_non_zero_mask(const EC_GROUP *group, const EC_FELEM *a) { BN_ULONG mask = 0; for (int i = 0; i < group->field.N.width; i++) { mask |= a->words[i]; } return ~constant_time_is_zero_w(mask); } void ec_felem_select(const EC_GROUP *group, EC_FELEM *out, BN_ULONG mask, const EC_FELEM *a, const EC_FELEM *b) { bn_select_words(out->words, mask, a->words, b->words, group->field.N.width); } int ec_felem_equal(const EC_GROUP *group, const EC_FELEM *a, const EC_FELEM *b) { return CRYPTO_memcmp(a->words, b->words, group->field.N.width * sizeof(BN_ULONG)) == 0; }