502 lines
12 KiB
C
502 lines
12 KiB
C
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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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#include <ctype.h>
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#include <stdio.h>
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#include <string.h>
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#include <openssl/bio.h>
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#include <openssl/err.h>
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#include <openssl/mem.h>
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#include "internal.h"
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BIGNUM *BN_bin2bn(const uint8_t *in, size_t len, BIGNUM *ret) {
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unsigned num_words, m;
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BN_ULONG word = 0;
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BIGNUM *bn = NULL;
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if (ret == NULL) {
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ret = bn = BN_new();
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}
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if (ret == NULL) {
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return NULL;
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}
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if (len == 0) {
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ret->top = 0;
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return ret;
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}
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num_words = ((len - 1) / BN_BYTES) + 1;
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m = (len - 1) % BN_BYTES;
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if (bn_wexpand(ret, num_words) == NULL) {
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if (bn) {
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BN_free(bn);
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}
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return NULL;
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}
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ret->top = num_words;
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ret->neg = 0;
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while (len--) {
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word = (word << 8) | *(in++);
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if (m-- == 0) {
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ret->d[--num_words] = word;
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word = 0;
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m = BN_BYTES - 1;
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}
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}
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/* need to call this due to clear byte at top if avoiding having the top bit
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* set (-ve number) */
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bn_correct_top(ret);
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return ret;
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}
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size_t BN_bn2bin(const BIGNUM *in, uint8_t *out) {
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size_t n, i;
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BN_ULONG l;
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n = i = BN_num_bytes(in);
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while (i--) {
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l = in->d[i / BN_BYTES];
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*(out++) = (unsigned char)(l >> (8 * (i % BN_BYTES))) & 0xff;
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}
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return n;
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}
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/* constant_time_select_ulong returns |x| if |v| is 1 and |y| if |v| is 0. Its
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* behavior is undefined if |v| takes any other value. */
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static BN_ULONG constant_time_select_ulong(int v, BN_ULONG x, BN_ULONG y) {
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BN_ULONG mask = v;
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mask--;
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return (~mask & x) | (mask & y);
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}
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/* constant_time_le_size_t returns 1 if |x| <= |y| and 0 otherwise. |x| and |y|
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* must not have their MSBs set. */
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static int constant_time_le_size_t(size_t x, size_t y) {
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return ((x - y - 1) >> (sizeof(size_t) * 8 - 1)) & 1;
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}
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/* read_word_padded returns the |i|'th word of |in|, if it is not out of
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* bounds. Otherwise, it returns 0. It does so without branches on the size of
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* |in|, however it necessarily does not have the same memory access pattern. If
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* the access would be out of bounds, it reads the last word of |in|. |in| must
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* not be zero. */
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static BN_ULONG read_word_padded(const BIGNUM *in, size_t i) {
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/* Read |in->d[i]| if valid. Otherwise, read the last word. */
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BN_ULONG l = in->d[constant_time_select_ulong(
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constant_time_le_size_t(in->dmax, i), in->dmax - 1, i)];
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/* Clamp to zero if above |d->top|. */
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return constant_time_select_ulong(constant_time_le_size_t(in->top, i), 0, l);
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}
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int BN_bn2bin_padded(uint8_t *out, size_t len, const BIGNUM *in) {
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size_t i;
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BN_ULONG l;
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/* Special case for |in| = 0. Just branch as the probability is negligible. */
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if (BN_is_zero(in)) {
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memset(out, 0, len);
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return 1;
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}
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/* Check if the integer is too big. This case can exit early in non-constant
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* time. */
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if ((size_t)in->top > (len + (BN_BYTES - 1)) / BN_BYTES) {
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return 0;
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}
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if ((len % BN_BYTES) != 0) {
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l = read_word_padded(in, len / BN_BYTES);
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if (l >> (8 * (len % BN_BYTES)) != 0) {
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return 0;
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}
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}
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/* Write the bytes out one by one. Serialization is done without branching on
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* the bits of |in| or on |in->top|, but if the routine would otherwise read
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* out of bounds, the memory access pattern can't be fixed. However, for an
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* RSA key of size a multiple of the word size, the probability of BN_BYTES
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* leading zero octets is low.
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*
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* See Falko Stenzke, "Manger's Attack revisited", ICICS 2010. */
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i = len;
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while (i--) {
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l = read_word_padded(in, i / BN_BYTES);
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*(out++) = (uint8_t)(l >> (8 * (i % BN_BYTES))) & 0xff;
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}
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return 1;
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}
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static const char hextable[] = "0123456789abcdef";
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char *BN_bn2hex(const BIGNUM *bn) {
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int i, j, v, z = 0;
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char *buf;
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char *p;
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buf = (char *)OPENSSL_malloc(bn->top * BN_BYTES * 2 + 2);
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if (buf == NULL) {
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OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
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return NULL;
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}
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p = buf;
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if (bn->neg) {
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*(p++) = '-';
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}
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if (BN_is_zero(bn)) {
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*(p++) = '0';
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}
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for (i = bn->top - 1; i >= 0; i--) {
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for (j = BN_BITS2 - 8; j >= 0; j -= 8) {
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/* strip leading zeros */
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v = ((int)(bn->d[i] >> (long)j)) & 0xff;
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if (z || v != 0) {
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*(p++) = hextable[v >> 4];
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*(p++) = hextable[v & 0x0f];
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z = 1;
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}
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}
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}
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*p = '\0';
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return buf;
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}
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/* decode_hex decodes |i| bytes of hex data from |in| and updates |bn|. */
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static void decode_hex(BIGNUM *bn, const char *in, int i) {
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int h, m, j, k, c;
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BN_ULONG l=0;
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j = i; /* least significant 'hex' */
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h = 0;
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while (j > 0) {
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m = ((BN_BYTES * 2) <= j) ? (BN_BYTES * 2) : j;
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l = 0;
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for (;;) {
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c = in[j - m];
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if ((c >= '0') && (c <= '9')) {
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k = c - '0';
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} else if ((c >= 'a') && (c <= 'f')) {
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k = c - 'a' + 10;
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} else if ((c >= 'A') && (c <= 'F')) {
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k = c - 'A' + 10;
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} else {
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k = 0; /* paranoia */
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}
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l = (l << 4) | k;
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if (--m <= 0) {
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bn->d[h++] = l;
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break;
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}
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}
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j -= (BN_BYTES * 2);
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}
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bn->top = h;
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}
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/* decode_dec decodes |in_len| bytes of decimal data from |in| and updates |bn|. */
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static void decode_dec(BIGNUM *bn, const char *in, int in_len) {
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int i, j;
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BN_ULONG l = 0;
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j = BN_DEC_NUM - (in_len % BN_DEC_NUM);
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if (j == BN_DEC_NUM) {
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j = 0;
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}
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l = 0;
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for (i = 0; i < in_len; i++) {
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l *= 10;
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l += in[i] - '0';
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if (++j == BN_DEC_NUM) {
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BN_mul_word(bn, BN_DEC_CONV);
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BN_add_word(bn, l);
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l = 0;
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j = 0;
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}
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}
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}
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typedef void (*decode_func) (BIGNUM *bn, const char *in, int i);
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typedef int (*char_test_func) (int c);
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static int bn_x2bn(BIGNUM **outp, const char *in, decode_func decode, char_test_func want_char) {
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BIGNUM *ret = NULL;
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int neg = 0, i;
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int num;
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if (in == NULL || *in == 0) {
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return 0;
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}
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if (*in == '-') {
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neg = 1;
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in++;
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}
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for (i = 0; want_char((unsigned char)in[i]); i++) {}
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num = i + neg;
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if (outp == NULL) {
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return num;
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}
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/* in is the start of the hex digits, and it is 'i' long */
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if (*outp == NULL) {
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ret = BN_new();
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if (ret == NULL) {
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return 0;
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}
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} else {
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ret = *outp;
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BN_zero(ret);
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}
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/* i is the number of hex digests; */
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if (bn_expand(ret, i * 4) == NULL) {
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goto err;
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}
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decode(ret, in, i);
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bn_correct_top(ret);
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if (!BN_is_zero(ret)) {
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ret->neg = neg;
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}
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*outp = ret;
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return num;
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err:
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if (*outp == NULL) {
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BN_free(ret);
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}
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return 0;
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}
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int BN_hex2bn(BIGNUM **outp, const char *in) {
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return bn_x2bn(outp, in, decode_hex, isxdigit);
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}
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char *BN_bn2dec(const BIGNUM *a) {
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int i = 0, num, ok = 0;
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char *buf = NULL;
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char *p;
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BIGNUM *t = NULL;
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BN_ULONG *bn_data = NULL, *lp;
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/* get an upper bound for the length of the decimal integer
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* num <= (BN_num_bits(a) + 1) * log(2)
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* <= 3 * BN_num_bits(a) * 0.1001 + log(2) + 1 (rounding error)
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* <= BN_num_bits(a)/10 + BN_num_bits/1000 + 1 + 1
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*/
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i = BN_num_bits(a) * 3;
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num = i / 10 + i / 1000 + 1 + 1;
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bn_data =
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(BN_ULONG *)OPENSSL_malloc((num / BN_DEC_NUM + 1) * sizeof(BN_ULONG));
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buf = (char *)OPENSSL_malloc(num + 3);
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if ((buf == NULL) || (bn_data == NULL)) {
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OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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t = BN_dup(a);
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if (t == NULL) {
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goto err;
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}
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#define BUF_REMAIN (num + 3 - (size_t)(p - buf))
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p = buf;
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lp = bn_data;
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if (BN_is_zero(t)) {
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*(p++) = '0';
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*(p++) = '\0';
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} else {
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if (BN_is_negative(t)) {
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*p++ = '-';
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}
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while (!BN_is_zero(t)) {
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*lp = BN_div_word(t, BN_DEC_CONV);
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lp++;
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}
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lp--;
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/* We now have a series of blocks, BN_DEC_NUM chars
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* in length, where the last one needs truncation.
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* The blocks need to be reversed in order. */
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BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT1, *lp);
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while (*p) {
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p++;
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}
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while (lp != bn_data) {
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lp--;
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BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT2, *lp);
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while (*p) {
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p++;
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}
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}
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}
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ok = 1;
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err:
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OPENSSL_free(bn_data);
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BN_free(t);
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if (!ok) {
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OPENSSL_free(buf);
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buf = NULL;
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}
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return buf;
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}
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int BN_dec2bn(BIGNUM **outp, const char *in) {
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return bn_x2bn(outp, in, decode_dec, isdigit);
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}
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int BN_asc2bn(BIGNUM **outp, const char *in) {
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const char *const orig_in = in;
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if (*in == '-') {
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in++;
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}
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|
if (in[0] == '0' && (in[1] == 'X' || in[1] == 'x')) {
|
||
|
if (!BN_hex2bn(outp, in+2)) {
|
||
|
return 0;
|
||
|
}
|
||
|
} else {
|
||
|
if (!BN_dec2bn(outp, in)) {
|
||
|
return 0;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if (*orig_in == '-' && !BN_is_zero(*outp)) {
|
||
|
(*outp)->neg = 1;
|
||
|
}
|
||
|
|
||
|
return 1;
|
||
|
}
|
||
|
|
||
|
int BN_print(BIO *bp, const BIGNUM *a) {
|
||
|
int i, j, v, z = 0;
|
||
|
int ret = 0;
|
||
|
|
||
|
if (a->neg && BIO_write(bp, "-", 1) != 1) {
|
||
|
goto end;
|
||
|
}
|
||
|
|
||
|
if (BN_is_zero(a) && BIO_write(bp, "0", 1) != 1) {
|
||
|
goto end;
|
||
|
}
|
||
|
|
||
|
for (i = a->top - 1; i >= 0; i--) {
|
||
|
for (j = BN_BITS2 - 4; j >= 0; j -= 4) {
|
||
|
/* strip leading zeros */
|
||
|
v = ((int)(a->d[i] >> (long)j)) & 0x0f;
|
||
|
if (z || v != 0) {
|
||
|
if (BIO_write(bp, &hextable[v], 1) != 1) {
|
||
|
goto end;
|
||
|
}
|
||
|
z = 1;
|
||
|
}
|
||
|
}
|
||
|
}
|
||
|
ret = 1;
|
||
|
|
||
|
end:
|
||
|
return ret;
|
||
|
}
|
||
|
|
||
|
int BN_print_fp(FILE *fp, const BIGNUM *a) {
|
||
|
BIO *b;
|
||
|
int ret;
|
||
|
|
||
|
b = BIO_new(BIO_s_file());
|
||
|
if (b == NULL) {
|
||
|
return 0;
|
||
|
}
|
||
|
BIO_set_fp(b, fp, BIO_NOCLOSE);
|
||
|
ret = BN_print(b, a);
|
||
|
BIO_free(b);
|
||
|
|
||
|
return ret;
|
||
|
}
|
||
|
|
||
|
BN_ULONG BN_get_word(const BIGNUM *bn) {
|
||
|
switch (bn->top) {
|
||
|
case 0:
|
||
|
return 0;
|
||
|
case 1:
|
||
|
return bn->d[0];
|
||
|
default:
|
||
|
return BN_MASK2;
|
||
|
}
|
||
|
}
|