2015-09-24 20:52:02 +00:00
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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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* All rights reserved.
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*
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* This package is an SSL implementation written
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* by Eric Young (eay@cryptsoft.com).
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* The implementation was written so as to conform with Netscapes SSL.
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*
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* This library is free for commercial and non-commercial use as long as
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* the following conditions are aheared to. The following conditions
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* apply to all code found in this distribution, be it the RC4, RSA,
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation
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* included with this distribution is covered by the same copyright terms
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* except that the holder is Tim Hudson (tjh@cryptsoft.com).
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*
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* Copyright remains Eric Young's, and as such any Copyright notices in
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* the code are not to be removed.
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* If this package is used in a product, Eric Young should be given attribution
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* as the author of the parts of the library used.
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* This can be in the form of a textual message at program startup or
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* in documentation (online or textual) provided with the package.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* "This product includes cryptographic software written by
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* Eric Young (eay@cryptsoft.com)"
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* The word 'cryptographic' can be left out if the rouines from the library
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* being used are not cryptographic related :-).
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* 4. If you include any Windows specific code (or a derivative thereof) from
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* the apps directory (application code) you must include an acknowledgement:
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
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*
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* The licence and distribution terms for any publically available version or
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* derivative of this code cannot be changed. i.e. this code cannot simply be
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* copied and put under another distribution licence
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* [including the GNU Public Licence.] */
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#include <openssl/bn.h>
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2018-07-30 02:07:02 +00:00
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#include <openssl/mem.h>
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#include <openssl/type_check.h>
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2015-09-24 20:52:02 +00:00
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#include "internal.h"
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2018-07-30 02:07:02 +00:00
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#include "../../internal.h"
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2015-09-24 20:52:02 +00:00
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2019-12-31 13:08:08 +00:00
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static int bn_cmp_words_consttime(const BN_ULONG *a, size_t a_len,
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const BN_ULONG *b, size_t b_len) {
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OPENSSL_STATIC_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
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"crypto_word_t is too small");
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int ret = 0;
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// Process the common words in little-endian order.
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size_t min = a_len < b_len ? a_len : b_len;
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for (size_t i = 0; i < min; i++) {
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crypto_word_t eq = constant_time_eq_w(a[i], b[i]);
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crypto_word_t lt = constant_time_lt_w(a[i], b[i]);
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ret =
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constant_time_select_int(eq, ret, constant_time_select_int(lt, -1, 1));
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2015-09-24 20:52:02 +00:00
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}
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2019-12-31 13:08:08 +00:00
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// If |a| or |b| has non-zero words beyond |min|, they take precedence.
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if (a_len < b_len) {
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crypto_word_t mask = 0;
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for (size_t i = a_len; i < b_len; i++) {
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mask |= b[i];
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}
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ret = constant_time_select_int(constant_time_is_zero_w(mask), ret, -1);
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} else if (b_len < a_len) {
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crypto_word_t mask = 0;
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for (size_t i = b_len; i < a_len; i++) {
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mask |= a[i];
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2015-09-24 20:52:02 +00:00
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}
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2019-12-31 13:08:08 +00:00
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ret = constant_time_select_int(constant_time_is_zero_w(mask), ret, 1);
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2015-09-24 20:52:02 +00:00
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}
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2019-12-31 13:08:08 +00:00
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return ret;
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2015-09-24 20:52:02 +00:00
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}
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2019-12-31 13:08:08 +00:00
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int BN_ucmp(const BIGNUM *a, const BIGNUM *b) {
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return bn_cmp_words_consttime(a->d, a->width, b->d, b->width);
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}
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2015-09-24 20:52:02 +00:00
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2019-12-31 13:08:08 +00:00
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int BN_cmp(const BIGNUM *a, const BIGNUM *b) {
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2015-09-24 20:52:02 +00:00
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if ((a == NULL) || (b == NULL)) {
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if (a != NULL) {
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return -1;
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} else if (b != NULL) {
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return 1;
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} else {
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return 0;
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}
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}
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2019-12-31 13:08:08 +00:00
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// We do not attempt to process the sign bit in constant time. Negative
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// |BIGNUM|s should never occur in crypto, only calculators.
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2015-09-24 20:52:02 +00:00
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if (a->neg != b->neg) {
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if (a->neg) {
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return -1;
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}
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return 1;
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}
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2019-12-31 13:08:08 +00:00
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int ret = BN_ucmp(a, b);
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return a->neg ? -ret : ret;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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int bn_less_than_words(const BN_ULONG *a, const BN_ULONG *b, size_t len) {
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2019-12-31 13:08:08 +00:00
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return bn_cmp_words_consttime(a, len, b, len) < 0;
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2018-07-30 02:07:02 +00:00
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}
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2015-09-24 20:52:02 +00:00
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int BN_abs_is_word(const BIGNUM *bn, BN_ULONG w) {
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2019-12-31 13:08:08 +00:00
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if (bn->width == 0) {
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return w == 0;
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2015-09-24 20:52:02 +00:00
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}
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2019-12-31 13:08:08 +00:00
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BN_ULONG mask = bn->d[0] ^ w;
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for (int i = 1; i < bn->width; i++) {
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mask |= bn->d[i];
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}
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return mask == 0;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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int BN_cmp_word(const BIGNUM *a, BN_ULONG b) {
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BIGNUM b_bn;
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BN_init(&b_bn);
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b_bn.d = &b;
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2019-12-31 13:08:08 +00:00
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b_bn.width = b > 0;
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2018-07-30 02:07:02 +00:00
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b_bn.dmax = 1;
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b_bn.flags = BN_FLG_STATIC_DATA;
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return BN_cmp(a, &b_bn);
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}
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2015-09-24 20:52:02 +00:00
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int BN_is_zero(const BIGNUM *bn) {
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2019-12-31 13:08:08 +00:00
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return bn_fits_in_words(bn, 0);
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2015-09-24 20:52:02 +00:00
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}
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int BN_is_one(const BIGNUM *bn) {
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return bn->neg == 0 && BN_abs_is_word(bn, 1);
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}
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int BN_is_word(const BIGNUM *bn, BN_ULONG w) {
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return BN_abs_is_word(bn, w) && (w == 0 || bn->neg == 0);
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}
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int BN_is_odd(const BIGNUM *bn) {
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2019-12-31 13:08:08 +00:00
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return bn->width > 0 && (bn->d[0] & 1) == 1;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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int BN_is_pow2(const BIGNUM *bn) {
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2019-12-31 13:08:08 +00:00
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int width = bn_minimal_width(bn);
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if (width == 0 || bn->neg) {
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2018-07-30 02:07:02 +00:00
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return 0;
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}
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2019-12-31 13:08:08 +00:00
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for (int i = 0; i < width - 1; i++) {
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2018-07-30 02:07:02 +00:00
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if (bn->d[i] != 0) {
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return 0;
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}
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}
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2019-12-31 13:08:08 +00:00
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return 0 == (bn->d[width-1] & (bn->d[width-1] - 1));
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2018-07-30 02:07:02 +00:00
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}
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int BN_equal_consttime(const BIGNUM *a, const BIGNUM *b) {
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2019-12-31 13:08:08 +00:00
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BN_ULONG mask = 0;
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// If |a| or |b| has more words than the other, all those words must be zero.
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for (int i = a->width; i < b->width; i++) {
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mask |= b->d[i];
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}
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for (int i = b->width; i < a->width; i++) {
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mask |= a->d[i];
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}
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// Common words must match.
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int min = a->width < b->width ? a->width : b->width;
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for (int i = 0; i < min; i++) {
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mask |= (a->d[i] ^ b->d[i]);
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}
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// The sign bit must match.
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mask |= (a->neg ^ b->neg);
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return mask == 0;
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2018-07-30 02:07:02 +00:00
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}
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