| 1 | /* Copyright (c) 2018, Google Inc. |
| 2 | * |
| 3 | * Permission to use, copy, modify, and/or distribute this software for any |
| 4 | * purpose with or without fee is hereby granted, provided that the above |
| 5 | * copyright notice and this permission notice appear in all copies. |
| 6 | * |
| 7 | * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES |
| 8 | * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
| 9 | * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY |
| 10 | * SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| 11 | * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION |
| 12 | * OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN |
| 13 | * CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */ |
| 14 | |
| 15 | #include <openssl/ec.h> |
| 16 | #include <openssl/err.h> |
| 17 | |
| 18 | #include <assert.h> |
| 19 | |
| 20 | #include "internal.h" |
| 21 | #include "../bn/internal.h" |
| 22 | #include "../../internal.h" |
| 23 | |
| 24 | |
| 25 | int ec_bignum_to_felem(const EC_GROUP *group, EC_FELEM *out, const BIGNUM *in) { |
| 26 | if (BN_is_negative(in) || BN_cmp(in, &group->field) >= 0) { |
| 27 | OPENSSL_PUT_ERROR(EC, EC_R_COORDINATES_OUT_OF_RANGE); |
| 28 | return 0; |
| 29 | } |
| 30 | return group->meth->bignum_to_felem(group, out, in); |
| 31 | } |
| 32 | |
| 33 | int ec_felem_to_bignum(const EC_GROUP *group, BIGNUM *out, const EC_FELEM *in) { |
| 34 | return group->meth->felem_to_bignum(group, out, in); |
| 35 | } |
| 36 | |
| 37 | void ec_felem_neg(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a) { |
| 38 | // -a is zero if a is zero and p-a otherwise. |
| 39 | BN_ULONG mask = ec_felem_non_zero_mask(group, a); |
| 40 | BN_ULONG borrow = |
| 41 | bn_sub_words(out->words, group->field.d, a->words, group->field.width); |
| 42 | assert(borrow == 0); |
| 43 | (void)borrow; |
| 44 | for (int i = 0; i < group->field.width; i++) { |
| 45 | out->words[i] &= mask; |
| 46 | } |
| 47 | } |
| 48 | |
| 49 | void ec_felem_add(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a, |
| 50 | const EC_FELEM *b) { |
| 51 | EC_FELEM tmp; |
| 52 | bn_mod_add_words(out->words, a->words, b->words, group->field.d, tmp.words, |
| 53 | group->field.width); |
| 54 | } |
| 55 | |
| 56 | void ec_felem_sub(const EC_GROUP *group, EC_FELEM *out, const EC_FELEM *a, |
| 57 | const EC_FELEM *b) { |
| 58 | EC_FELEM tmp; |
| 59 | bn_mod_sub_words(out->words, a->words, b->words, group->field.d, tmp.words, |
| 60 | group->field.width); |
| 61 | } |
| 62 | |
| 63 | BN_ULONG ec_felem_non_zero_mask(const EC_GROUP *group, const EC_FELEM *a) { |
| 64 | BN_ULONG mask = 0; |
| 65 | for (int i = 0; i < group->field.width; i++) { |
| 66 | mask |= a->words[i]; |
| 67 | } |
| 68 | return ~constant_time_is_zero_w(mask); |
| 69 | } |
| 70 | |
| 71 | void ec_felem_select(const EC_GROUP *group, EC_FELEM *out, BN_ULONG mask, |
| 72 | const EC_FELEM *a, const EC_FELEM *b) { |
| 73 | bn_select_words(out->words, mask, a->words, b->words, group->field.width); |
| 74 | } |
| 75 | |
| 76 | int ec_felem_equal(const EC_GROUP *group, const EC_FELEM *a, |
| 77 | const EC_FELEM *b) { |
| 78 | // Note this function is variable-time. Constant-time operations should use |
| 79 | // |ec_felem_non_zero_mask|. |
| 80 | return OPENSSL_memcmp(a->words, b->words, |
| 81 | group->field.width * sizeof(BN_ULONG)) == 0; |
| 82 | } |
| 83 | |