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 | |