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