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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 <limits.h>
- #include <string.h>
- #include <openssl/err.h>
- #include <openssl/mem.h>
- #include "internal.h"
- #include "../delocate.h"
- BIGNUM *BN_new(void) {
- BIGNUM *bn = OPENSSL_malloc(sizeof(BIGNUM));
- if (bn == NULL) {
- OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
- return NULL;
- }
- OPENSSL_memset(bn, 0, sizeof(BIGNUM));
- bn->flags = BN_FLG_MALLOCED;
- return bn;
- }
- void BN_init(BIGNUM *bn) {
- OPENSSL_memset(bn, 0, sizeof(BIGNUM));
- }
- void BN_free(BIGNUM *bn) {
- if (bn == NULL) {
- return;
- }
- if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
- OPENSSL_free(bn->d);
- }
- if (bn->flags & BN_FLG_MALLOCED) {
- OPENSSL_free(bn);
- } else {
- bn->d = NULL;
- }
- }
- void BN_clear_free(BIGNUM *bn) {
- char should_free;
- if (bn == NULL) {
- return;
- }
- if (bn->d != NULL) {
- if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
- OPENSSL_free(bn->d);
- } else {
- OPENSSL_cleanse(bn->d, bn->dmax * sizeof(bn->d[0]));
- }
- }
- should_free = (bn->flags & BN_FLG_MALLOCED) != 0;
- if (should_free) {
- OPENSSL_free(bn);
- } else {
- OPENSSL_cleanse(bn, sizeof(BIGNUM));
- }
- }
- BIGNUM *BN_dup(const BIGNUM *src) {
- BIGNUM *copy;
- if (src == NULL) {
- return NULL;
- }
- copy = BN_new();
- if (copy == NULL) {
- return NULL;
- }
- if (!BN_copy(copy, src)) {
- BN_free(copy);
- return NULL;
- }
- return copy;
- }
- BIGNUM *BN_copy(BIGNUM *dest, const BIGNUM *src) {
- if (src == dest) {
- return dest;
- }
- if (!bn_wexpand(dest, src->width)) {
- return NULL;
- }
- OPENSSL_memcpy(dest->d, src->d, sizeof(src->d[0]) * src->width);
- dest->width = src->width;
- dest->neg = src->neg;
- return dest;
- }
- void BN_clear(BIGNUM *bn) {
- if (bn->d != NULL) {
- OPENSSL_memset(bn->d, 0, bn->dmax * sizeof(bn->d[0]));
- }
- bn->width = 0;
- bn->neg = 0;
- }
- DEFINE_METHOD_FUNCTION(BIGNUM, BN_value_one) {
- static const BN_ULONG kOneLimbs[1] = { 1 };
- out->d = (BN_ULONG*) kOneLimbs;
- out->width = 1;
- out->dmax = 1;
- out->neg = 0;
- out->flags = BN_FLG_STATIC_DATA;
- }
- // BN_num_bits_word returns the minimum number of bits needed to represent the
- // value in |l|.
- unsigned BN_num_bits_word(BN_ULONG l) {
- // |BN_num_bits| is often called on RSA prime factors. These have public bit
- // lengths, but all bits beyond the high bit are secret, so count bits in
- // constant time.
- BN_ULONG x, mask;
- int bits = (l != 0);
- #if BN_BITS2 > 32
- // Look at the upper half of |x|. |x| is at most 64 bits long.
- x = l >> 32;
- // Set |mask| to all ones if |x| (the top 32 bits of |l|) is non-zero and all
- // all zeros otherwise.
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- // If |x| is non-zero, the lower half is included in the bit count in full,
- // and we count the upper half. Otherwise, we count the lower half.
- bits += 32 & mask;
- l ^= (x ^ l) & mask; // |l| is |x| if |mask| and remains |l| otherwise.
- #endif
- // The remaining blocks are analogous iterations at lower powers of two.
- x = l >> 16;
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- bits += 16 & mask;
- l ^= (x ^ l) & mask;
- x = l >> 8;
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- bits += 8 & mask;
- l ^= (x ^ l) & mask;
- x = l >> 4;
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- bits += 4 & mask;
- l ^= (x ^ l) & mask;
- x = l >> 2;
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- bits += 2 & mask;
- l ^= (x ^ l) & mask;
- x = l >> 1;
- mask = 0u - x;
- mask = (0u - (mask >> (BN_BITS2 - 1)));
- bits += 1 & mask;
- return bits;
- }
- unsigned BN_num_bits(const BIGNUM *bn) {
- const int width = bn_minimal_width(bn);
- if (width == 0) {
- return 0;
- }
- return (width - 1) * BN_BITS2 + BN_num_bits_word(bn->d[width - 1]);
- }
- unsigned BN_num_bytes(const BIGNUM *bn) {
- return (BN_num_bits(bn) + 7) / 8;
- }
- void BN_zero(BIGNUM *bn) {
- bn->width = bn->neg = 0;
- }
- int BN_one(BIGNUM *bn) {
- return BN_set_word(bn, 1);
- }
- int BN_set_word(BIGNUM *bn, BN_ULONG value) {
- if (value == 0) {
- BN_zero(bn);
- return 1;
- }
- if (!bn_wexpand(bn, 1)) {
- return 0;
- }
- bn->neg = 0;
- bn->d[0] = value;
- bn->width = 1;
- return 1;
- }
- int BN_set_u64(BIGNUM *bn, uint64_t value) {
- #if BN_BITS2 == 64
- return BN_set_word(bn, value);
- #elif BN_BITS2 == 32
- if (value <= BN_MASK2) {
- return BN_set_word(bn, (BN_ULONG)value);
- }
- if (!bn_wexpand(bn, 2)) {
- return 0;
- }
- bn->neg = 0;
- bn->d[0] = (BN_ULONG)value;
- bn->d[1] = (BN_ULONG)(value >> 32);
- bn->width = 2;
- return 1;
- #else
- #error "BN_BITS2 must be 32 or 64."
- #endif
- }
- int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num) {
- if (!bn_wexpand(bn, num)) {
- return 0;
- }
- OPENSSL_memmove(bn->d, words, num * sizeof(BN_ULONG));
- // |bn_wexpand| verified that |num| isn't too large.
- bn->width = (int)num;
- bn->neg = 0;
- return 1;
- }
- int bn_fits_in_words(const BIGNUM *bn, size_t num) {
- // All words beyond |num| must be zero.
- BN_ULONG mask = 0;
- for (size_t i = num; i < (size_t)bn->width; i++) {
- mask |= bn->d[i];
- }
- return mask == 0;
- }
- int bn_copy_words(BN_ULONG *out, size_t num, const BIGNUM *bn) {
- if (bn->neg) {
- OPENSSL_PUT_ERROR(BN, BN_R_NEGATIVE_NUMBER);
- return 0;
- }
- size_t width = (size_t)bn->width;
- if (width > num) {
- if (!bn_fits_in_words(bn, num)) {
- OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
- return 0;
- }
- width = num;
- }
- OPENSSL_memset(out, 0, sizeof(BN_ULONG) * num);
- OPENSSL_memcpy(out, bn->d, sizeof(BN_ULONG) * width);
- return 1;
- }
- int BN_is_negative(const BIGNUM *bn) {
- return bn->neg != 0;
- }
- void BN_set_negative(BIGNUM *bn, int sign) {
- if (sign && !BN_is_zero(bn)) {
- bn->neg = 1;
- } else {
- bn->neg = 0;
- }
- }
- int bn_wexpand(BIGNUM *bn, size_t words) {
- BN_ULONG *a;
- if (words <= (size_t)bn->dmax) {
- return 1;
- }
- if (words > (INT_MAX / (4 * BN_BITS2))) {
- OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
- return 0;
- }
- if (bn->flags & BN_FLG_STATIC_DATA) {
- OPENSSL_PUT_ERROR(BN, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
- return 0;
- }
- a = OPENSSL_malloc(sizeof(BN_ULONG) * words);
- if (a == NULL) {
- OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
- return 0;
- }
- OPENSSL_memcpy(a, bn->d, sizeof(BN_ULONG) * bn->width);
- OPENSSL_free(bn->d);
- bn->d = a;
- bn->dmax = (int)words;
- return 1;
- }
- int bn_expand(BIGNUM *bn, size_t bits) {
- if (bits + BN_BITS2 - 1 < bits) {
- OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
- return 0;
- }
- return bn_wexpand(bn, (bits+BN_BITS2-1)/BN_BITS2);
- }
- int bn_resize_words(BIGNUM *bn, size_t words) {
- if ((size_t)bn->width <= words) {
- if (!bn_wexpand(bn, words)) {
- return 0;
- }
- OPENSSL_memset(bn->d + bn->width, 0,
- (words - bn->width) * sizeof(BN_ULONG));
- bn->width = words;
- return 1;
- }
- // All words beyond the new width must be zero.
- if (!bn_fits_in_words(bn, words)) {
- OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
- return 0;
- }
- bn->width = words;
- return 1;
- }
- void bn_select_words(BN_ULONG *r, BN_ULONG mask, const BN_ULONG *a,
- const BN_ULONG *b, size_t num) {
- for (size_t i = 0; i < num; i++) {
- OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
- crypto_word_t_too_small);
- r[i] = constant_time_select_w(mask, a[i], b[i]);
- }
- }
- int bn_minimal_width(const BIGNUM *bn) {
- int ret = bn->width;
- while (ret > 0 && bn->d[ret - 1] == 0) {
- ret--;
- }
- return ret;
- }
- void bn_set_minimal_width(BIGNUM *bn) {
- bn->width = bn_minimal_width(bn);
- if (bn->width == 0) {
- bn->neg = 0;
- }
- }
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