2015-09-24 20:52:02 +00:00
|
|
|
/* 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"
|
2018-07-30 02:07:02 +00:00
|
|
|
#include "../delocate.h"
|
2015-09-24 20:52:02 +00:00
|
|
|
|
|
|
|
|
|
|
|
BIGNUM *BN_new(void) {
|
|
|
|
BIGNUM *bn = OPENSSL_malloc(sizeof(BIGNUM));
|
|
|
|
|
|
|
|
if (bn == NULL) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
OPENSSL_memset(bn, 0, sizeof(BIGNUM));
|
2015-09-24 20:52:02 +00:00
|
|
|
bn->flags = BN_FLG_MALLOCED;
|
|
|
|
|
|
|
|
return bn;
|
|
|
|
}
|
|
|
|
|
|
|
|
void BN_init(BIGNUM *bn) {
|
2018-07-30 02:07:02 +00:00
|
|
|
OPENSSL_memset(bn, 0, sizeof(BIGNUM));
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
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);
|
2018-07-30 02:07:02 +00:00
|
|
|
} else {
|
|
|
|
OPENSSL_cleanse(bn->d, bn->dmax * sizeof(bn->d[0]));
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
should_free = (bn->flags & BN_FLG_MALLOCED) != 0;
|
|
|
|
if (should_free) {
|
|
|
|
OPENSSL_free(bn);
|
2018-07-30 02:07:02 +00:00
|
|
|
} else {
|
|
|
|
OPENSSL_cleanse(bn, sizeof(BIGNUM));
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
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;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
if (!bn_wexpand(dest, src->top)) {
|
2015-09-24 20:52:02 +00:00
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
OPENSSL_memcpy(dest->d, src->d, sizeof(src->d[0]) * src->top);
|
2015-09-24 20:52:02 +00:00
|
|
|
|
|
|
|
dest->top = src->top;
|
|
|
|
dest->neg = src->neg;
|
|
|
|
return dest;
|
|
|
|
}
|
|
|
|
|
|
|
|
void BN_clear(BIGNUM *bn) {
|
|
|
|
if (bn->d != NULL) {
|
2018-07-30 02:07:02 +00:00
|
|
|
OPENSSL_memset(bn->d, 0, bn->dmax * sizeof(bn->d[0]));
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
bn->top = 0;
|
|
|
|
bn->neg = 0;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
DEFINE_METHOD_FUNCTION(BIGNUM, BN_value_one) {
|
|
|
|
static const BN_ULONG kOneLimbs[1] = { 1 };
|
|
|
|
out->d = (BN_ULONG*) kOneLimbs;
|
|
|
|
out->top = 1;
|
|
|
|
out->dmax = 1;
|
|
|
|
out->neg = 0;
|
|
|
|
out->flags = BN_FLG_STATIC_DATA;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
// BN_num_bits_word returns the minimum number of bits needed to represent the
|
|
|
|
// value in |l|.
|
2015-09-24 20:52:02 +00:00
|
|
|
unsigned BN_num_bits_word(BN_ULONG l) {
|
|
|
|
static const unsigned char bits[256] = {
|
|
|
|
0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5,
|
|
|
|
5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
|
|
|
|
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7,
|
|
|
|
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
|
|
|
|
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
|
|
|
|
7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
|
|
|
|
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
|
|
|
|
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
|
|
|
|
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
|
|
|
|
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
|
|
|
|
8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8};
|
|
|
|
|
|
|
|
#if defined(OPENSSL_64_BIT)
|
|
|
|
if (l & 0xffffffff00000000L) {
|
|
|
|
if (l & 0xffff000000000000L) {
|
|
|
|
if (l & 0xff00000000000000L) {
|
|
|
|
return (bits[(int)(l >> 56)] + 56);
|
|
|
|
} else {
|
|
|
|
return (bits[(int)(l >> 48)] + 48);
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (l & 0x0000ff0000000000L) {
|
|
|
|
return (bits[(int)(l >> 40)] + 40);
|
|
|
|
} else {
|
|
|
|
return (bits[(int)(l >> 32)] + 32);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
} else
|
|
|
|
#endif
|
|
|
|
{
|
|
|
|
if (l & 0xffff0000L) {
|
|
|
|
if (l & 0xff000000L) {
|
|
|
|
return (bits[(int)(l >> 24L)] + 24);
|
|
|
|
} else {
|
|
|
|
return (bits[(int)(l >> 16L)] + 16);
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (l & 0xff00L) {
|
|
|
|
return (bits[(int)(l >> 8)] + 8);
|
|
|
|
} else {
|
|
|
|
return (bits[(int)(l)]);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
unsigned BN_num_bits(const BIGNUM *bn) {
|
|
|
|
const int max = bn->top - 1;
|
|
|
|
|
|
|
|
if (BN_is_zero(bn)) {
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
return max*BN_BITS2 + BN_num_bits_word(bn->d[max]);
|
|
|
|
}
|
|
|
|
|
|
|
|
unsigned BN_num_bytes(const BIGNUM *bn) {
|
|
|
|
return (BN_num_bits(bn) + 7) / 8;
|
|
|
|
}
|
|
|
|
|
|
|
|
void BN_zero(BIGNUM *bn) {
|
|
|
|
bn->top = 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;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
if (!bn_wexpand(bn, 1)) {
|
2015-09-24 20:52:02 +00:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
bn->neg = 0;
|
|
|
|
bn->d[0] = value;
|
|
|
|
bn->top = 1;
|
|
|
|
return 1;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
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->top = 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->top = (int)num;
|
|
|
|
bn_correct_top(bn);
|
|
|
|
bn->neg = 0;
|
|
|
|
return 1;
|
|
|
|
}
|
|
|
|
|
2015-09-24 20:52:02 +00:00
|
|
|
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;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
int bn_wexpand(BIGNUM *bn, size_t words) {
|
2015-09-24 20:52:02 +00:00
|
|
|
BN_ULONG *a;
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
if (words <= (size_t)bn->dmax) {
|
|
|
|
return 1;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
if (words > (INT_MAX / (4 * BN_BITS2))) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
|
2018-07-30 02:07:02 +00:00
|
|
|
return 0;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
if (bn->flags & BN_FLG_STATIC_DATA) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
|
2018-07-30 02:07:02 +00:00
|
|
|
return 0;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
a = OPENSSL_malloc(sizeof(BN_ULONG) * words);
|
2015-09-24 20:52:02 +00:00
|
|
|
if (a == NULL) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
|
2018-07-30 02:07:02 +00:00
|
|
|
return 0;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
OPENSSL_memcpy(a, bn->d, sizeof(BN_ULONG) * bn->top);
|
2015-09-24 20:52:02 +00:00
|
|
|
|
|
|
|
OPENSSL_free(bn->d);
|
|
|
|
bn->d = a;
|
2018-07-30 02:07:02 +00:00
|
|
|
bn->dmax = (int)words;
|
2015-09-24 20:52:02 +00:00
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
return 1;
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
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;
|
|
|
|
}
|
2015-09-24 20:52:02 +00:00
|
|
|
return bn_wexpand(bn, (bits+BN_BITS2-1)/BN_BITS2);
|
|
|
|
}
|
|
|
|
|
|
|
|
void bn_correct_top(BIGNUM *bn) {
|
|
|
|
BN_ULONG *ftl;
|
|
|
|
int tmp_top = bn->top;
|
|
|
|
|
|
|
|
if (tmp_top > 0) {
|
|
|
|
for (ftl = &(bn->d[tmp_top - 1]); tmp_top > 0; tmp_top--) {
|
|
|
|
if (*(ftl--)) {
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
bn->top = tmp_top;
|
|
|
|
}
|
|
|
|
|
2018-07-30 02:07:02 +00:00
|
|
|
if (bn->top == 0) {
|
|
|
|
bn->neg = 0;
|
|
|
|
}
|
2015-09-24 20:52:02 +00:00
|
|
|
}
|