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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 <string.h>
- #include <openssl/err.h>
- #include <openssl/type_check.h>
- #include "internal.h"
- int BN_lshift(BIGNUM *r, const BIGNUM *a, int n) {
- int i, nw, lb, rb;
- BN_ULONG *t, *f;
- BN_ULONG l;
- if (n < 0) {
- OPENSSL_PUT_ERROR(BN, BN_R_NEGATIVE_NUMBER);
- return 0;
- }
- r->neg = a->neg;
- nw = n / BN_BITS2;
- if (!bn_wexpand(r, a->width + nw + 1)) {
- return 0;
- }
- lb = n % BN_BITS2;
- rb = BN_BITS2 - lb;
- f = a->d;
- t = r->d;
- t[a->width + nw] = 0;
- if (lb == 0) {
- for (i = a->width - 1; i >= 0; i--) {
- t[nw + i] = f[i];
- }
- } else {
- for (i = a->width - 1; i >= 0; i--) {
- l = f[i];
- t[nw + i + 1] |= l >> rb;
- t[nw + i] = l << lb;
- }
- }
- OPENSSL_memset(t, 0, nw * sizeof(t[0]));
- r->width = a->width + nw + 1;
- bn_set_minimal_width(r);
- return 1;
- }
- int BN_lshift1(BIGNUM *r, const BIGNUM *a) {
- BN_ULONG *ap, *rp, t, c;
- int i;
- if (r != a) {
- r->neg = a->neg;
- if (!bn_wexpand(r, a->width + 1)) {
- return 0;
- }
- r->width = a->width;
- } else {
- if (!bn_wexpand(r, a->width + 1)) {
- return 0;
- }
- }
- ap = a->d;
- rp = r->d;
- c = 0;
- for (i = 0; i < a->width; i++) {
- t = *(ap++);
- *(rp++) = (t << 1) | c;
- c = t >> (BN_BITS2 - 1);
- }
- if (c) {
- *rp = 1;
- r->width++;
- }
- return 1;
- }
- static void bn_rshift_words(BN_ULONG *r, const BN_ULONG *a, unsigned shift,
- size_t num) {
- unsigned shift_bits = shift % BN_BITS2;
- size_t shift_words = shift / BN_BITS2;
- if (shift_words >= num) {
- OPENSSL_memset(r, 0, num * sizeof(BN_ULONG));
- return;
- }
- if (shift_bits == 0) {
- OPENSSL_memmove(r, a + shift_words, (num - shift_words) * sizeof(BN_ULONG));
- } else {
- for (size_t i = shift_words; i < num - 1; i++) {
- r[i - shift_words] =
- (a[i] >> shift_bits) | (a[i + 1] << (BN_BITS2 - shift_bits));
- }
- r[num - 1 - shift_words] = a[num - 1] >> shift_bits;
- }
- OPENSSL_memset(r + num - shift_words, 0, shift_words * sizeof(BN_ULONG));
- }
- int BN_rshift(BIGNUM *r, const BIGNUM *a, int n) {
- if (n < 0) {
- OPENSSL_PUT_ERROR(BN, BN_R_NEGATIVE_NUMBER);
- return 0;
- }
- if (!bn_wexpand(r, a->width)) {
- return 0;
- }
- bn_rshift_words(r->d, a->d, n, a->width);
- r->neg = a->neg;
- r->width = a->width;
- bn_set_minimal_width(r);
- return 1;
- }
- int bn_rshift_secret_shift(BIGNUM *r, const BIGNUM *a, unsigned n,
- BN_CTX *ctx) {
- int ret = 0;
- BN_CTX_start(ctx);
- BIGNUM *tmp = BN_CTX_get(ctx);
- if (tmp == NULL ||
- !BN_copy(r, a) ||
- !bn_wexpand(tmp, r->width)) {
- goto err;
- }
- // Shift conditionally by powers of two.
- unsigned max_bits = BN_BITS2 * r->width;
- for (unsigned i = 0; (max_bits >> i) != 0; i++) {
- BN_ULONG mask = (n >> i) & 1;
- mask = 0 - mask;
- bn_rshift_words(tmp->d, r->d, 1u << i, r->width);
- bn_select_words(r->d, mask, tmp->d /* apply shift */,
- r->d /* ignore shift */, r->width);
- }
- ret = 1;
- err:
- BN_CTX_end(ctx);
- return ret;
- }
- void bn_rshift1_words(BN_ULONG *r, const BN_ULONG *a, size_t num) {
- if (num == 0) {
- return;
- }
- for (size_t i = 0; i < num - 1; i++) {
- r[i] = (a[i] >> 1) | (a[i + 1] << (BN_BITS2 - 1));
- }
- r[num - 1] = a[num - 1] >> 1;
- }
- int BN_rshift1(BIGNUM *r, const BIGNUM *a) {
- if (!bn_wexpand(r, a->width)) {
- return 0;
- }
- bn_rshift1_words(r->d, a->d, a->width);
- r->width = a->width;
- r->neg = a->neg;
- bn_set_minimal_width(r);
- return 1;
- }
- int BN_set_bit(BIGNUM *a, int n) {
- if (n < 0) {
- return 0;
- }
- int i = n / BN_BITS2;
- int j = n % BN_BITS2;
- if (a->width <= i) {
- if (!bn_wexpand(a, i + 1)) {
- return 0;
- }
- for (int k = a->width; k < i + 1; k++) {
- a->d[k] = 0;
- }
- a->width = i + 1;
- }
- a->d[i] |= (((BN_ULONG)1) << j);
- return 1;
- }
- int BN_clear_bit(BIGNUM *a, int n) {
- int i, j;
- if (n < 0) {
- return 0;
- }
- i = n / BN_BITS2;
- j = n % BN_BITS2;
- if (a->width <= i) {
- return 0;
- }
- a->d[i] &= (~(((BN_ULONG)1) << j));
- bn_set_minimal_width(a);
- return 1;
- }
- int bn_is_bit_set_words(const BN_ULONG *a, size_t num, unsigned bit) {
- unsigned i = bit / BN_BITS2;
- unsigned j = bit % BN_BITS2;
- if (i >= num) {
- return 0;
- }
- return (a[i] >> j) & 1;
- }
- int BN_is_bit_set(const BIGNUM *a, int n) {
- if (n < 0) {
- return 0;
- }
- return bn_is_bit_set_words(a->d, a->width, n);
- }
- int BN_mask_bits(BIGNUM *a, int n) {
- if (n < 0) {
- return 0;
- }
- int w = n / BN_BITS2;
- int b = n % BN_BITS2;
- if (w >= a->width) {
- return 1;
- }
- if (b == 0) {
- a->width = w;
- } else {
- a->width = w + 1;
- a->d[w] &= ~(BN_MASK2 << b);
- }
- bn_set_minimal_width(a);
- return 1;
- }
- static int bn_count_low_zero_bits_word(BN_ULONG l) {
- OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
- crypto_word_t_too_small);
- OPENSSL_COMPILE_ASSERT(sizeof(int) <= sizeof(crypto_word_t),
- crypto_word_t_too_small_2);
- OPENSSL_COMPILE_ASSERT(BN_BITS2 == sizeof(BN_ULONG) * 8,
- bn_ulong_has_padding_bits);
- // C has very bizarre rules for types smaller than an int.
- OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) >= sizeof(int),
- bn_ulong_is_promoted_to_int);
- crypto_word_t mask;
- int bits = 0;
- #if BN_BITS2 > 32
- // Check if the lower half of |x| are all zero.
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 32));
- // If the lower half is all zeros, it is included in the bit count and we
- // count the upper half. Otherwise, we count the lower half.
- bits += 32 & mask;
- l = constant_time_select_w(mask, l >> 32, l);
- #endif
- // The remaining blocks are analogous iterations at lower powers of two.
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 16));
- bits += 16 & mask;
- l = constant_time_select_w(mask, l >> 16, l);
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 8));
- bits += 8 & mask;
- l = constant_time_select_w(mask, l >> 8, l);
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 4));
- bits += 4 & mask;
- l = constant_time_select_w(mask, l >> 4, l);
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 2));
- bits += 2 & mask;
- l = constant_time_select_w(mask, l >> 2, l);
- mask = constant_time_is_zero_w(l << (BN_BITS2 - 1));
- bits += 1 & mask;
- return bits;
- }
- int BN_count_low_zero_bits(const BIGNUM *bn) {
- OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
- crypto_word_t_too_small);
- OPENSSL_COMPILE_ASSERT(sizeof(int) <= sizeof(crypto_word_t),
- crypto_word_t_too_small_2);
- int ret = 0;
- crypto_word_t saw_nonzero = 0;
- for (int i = 0; i < bn->width; i++) {
- crypto_word_t nonzero = ~constant_time_is_zero_w(bn->d[i]);
- crypto_word_t first_nonzero = ~saw_nonzero & nonzero;
- saw_nonzero |= nonzero;
- int bits = bn_count_low_zero_bits_word(bn->d[i]);
- ret |= first_nonzero & (i * BN_BITS2 + bits);
- }
- // If got to the end of |bn| and saw no non-zero words, |bn| is zero. |ret|
- // will then remain zero.
- return ret;
- }
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