657 lines
13 KiB
C
657 lines
13 KiB
C
/* $OpenBSD: bn_convert.c,v 1.8 2023/05/09 05:15:55 jsing Exp $ */
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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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*/
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#include <ctype.h>
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#include <limits.h>
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#include <stdio.h>
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#include <string.h>
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#include <openssl/opensslconf.h>
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#include <openssl/bio.h>
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#include <openssl/buffer.h>
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#include <openssl/err.h>
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#include "bn_local.h"
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#include "bytestring.h"
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static const char hex_digits[] = "0123456789ABCDEF";
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typedef enum {
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big,
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little,
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} endianness_t;
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/* ignore negative */
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static int
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bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianness_t endianness)
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{
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int n;
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size_t i, lasti, j, atop, mask;
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BN_ULONG l;
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/*
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* In case |a| is fixed-top, BN_num_bytes can return bogus length,
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* but it's assumed that fixed-top inputs ought to be "nominated"
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* even for padded output, so it works out...
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*/
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n = BN_num_bytes(a);
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if (tolen == -1)
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tolen = n;
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else if (tolen < n) { /* uncommon/unlike case */
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BIGNUM temp = *a;
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bn_correct_top(&temp);
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n = BN_num_bytes(&temp);
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if (tolen < n)
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return -1;
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}
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/* Swipe through whole available data and don't give away padded zero. */
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atop = a->dmax * BN_BYTES;
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if (atop == 0) {
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explicit_bzero(to, tolen);
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return tolen;
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}
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lasti = atop - 1;
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atop = a->top * BN_BYTES;
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if (endianness == big)
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to += tolen; /* start from the end of the buffer */
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for (i = 0, j = 0; j < (size_t)tolen; j++) {
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unsigned char val;
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l = a->d[i / BN_BYTES];
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mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1));
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val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask);
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if (endianness == big)
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*--to = val;
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else
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*to++ = val;
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i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */
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}
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return tolen;
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}
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int
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BN_bn2bin(const BIGNUM *a, unsigned char *to)
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{
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return bn2binpad(a, to, -1, big);
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}
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int
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BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
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{
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if (tolen < 0)
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return -1;
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return bn2binpad(a, to, tolen, big);
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}
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BIGNUM *
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BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
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{
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unsigned int i, m;
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unsigned int n;
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BN_ULONG l;
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BIGNUM *bn = NULL;
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if (len < 0)
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return (NULL);
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if (ret == NULL)
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ret = bn = BN_new();
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if (ret == NULL)
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return (NULL);
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l = 0;
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n = len;
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if (n == 0) {
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ret->top = 0;
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return (ret);
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}
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i = ((n - 1) / BN_BYTES) + 1;
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m = ((n - 1) % (BN_BYTES));
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if (!bn_wexpand(ret, (int)i)) {
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BN_free(bn);
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return NULL;
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}
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ret->top = i;
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ret->neg = 0;
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while (n--) {
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l = (l << 8L) | *(s++);
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if (m-- == 0) {
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ret->d[--i] = l;
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l = 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
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* having the top bit 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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int
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BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen)
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{
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if (tolen < 0)
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return -1;
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return bn2binpad(a, to, tolen, little);
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}
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BIGNUM *
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BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret)
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{
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unsigned int i, m, n;
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BN_ULONG l;
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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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if (ret == NULL)
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return NULL;
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s += len;
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/* Skip trailing zeroes. */
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for (; len > 0 && s[-1] == 0; s--, len--)
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continue;
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n = len;
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if (n == 0) {
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ret->top = 0;
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return ret;
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}
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i = ((n - 1) / BN_BYTES) + 1;
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m = (n - 1) % BN_BYTES;
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if (!bn_wexpand(ret, (int)i)) {
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BN_free(bn);
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return NULL;
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}
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ret->top = i;
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ret->neg = 0;
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l = 0;
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while (n-- > 0) {
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s--;
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l = (l << 8L) | *s;
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if (m-- == 0) {
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ret->d[--i] = l;
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l = 0;
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m = BN_BYTES - 1;
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}
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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
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* top bit set (-ve number)
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*/
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bn_correct_top(ret);
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return ret;
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}
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int
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BN_asc2bn(BIGNUM **bn, const char *a)
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{
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const char *p = a;
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if (*p == '-')
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p++;
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if (p[0] == '0' && (p[1] == 'X' || p[1] == 'x')) {
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if (!BN_hex2bn(bn, p + 2))
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return 0;
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} else {
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if (!BN_dec2bn(bn, p))
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return 0;
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}
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if (*a == '-')
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BN_set_negative(*bn, 1);
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return 1;
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}
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char *
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BN_bn2dec(const BIGNUM *bn)
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{
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int started = 0;
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BIGNUM *tmp = NULL;
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uint8_t *data = NULL;
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size_t data_len = 0;
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uint8_t *s = NULL;
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size_t s_len;
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BN_ULONG v, w;
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uint8_t c;
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CBB cbb;
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CBS cbs;
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int i;
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if (!CBB_init(&cbb, 0))
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goto err;
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if ((tmp = BN_dup(bn)) == NULL)
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goto err;
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/*
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* Divide the BIGNUM by a large multiple of 10, then break the remainder
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* into decimal digits. This produces a reversed string of digits,
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* potentially with leading zeroes.
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*/
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while (!BN_is_zero(tmp)) {
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if ((w = BN_div_word(tmp, BN_DEC_CONV)) == -1)
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goto err;
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for (i = 0; i < BN_DEC_NUM; i++) {
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v = w % 10;
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if (!CBB_add_u8(&cbb, '0' + v))
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goto err;
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w /= 10;
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}
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}
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if (!CBB_finish(&cbb, &data, &data_len))
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goto err;
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if (data_len > SIZE_MAX - 3)
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goto err;
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if (!CBB_init(&cbb, data_len + 3))
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goto err;
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if (BN_is_negative(bn)) {
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if (!CBB_add_u8(&cbb, '-'))
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goto err;
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}
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/* Reverse digits and trim leading zeroes. */
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CBS_init(&cbs, data, data_len);
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while (CBS_len(&cbs) > 0) {
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if (!CBS_get_last_u8(&cbs, &c))
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goto err;
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if (!started && c == '0')
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continue;
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if (!CBB_add_u8(&cbb, c))
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goto err;
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started = 1;
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}
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if (!started) {
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if (!CBB_add_u8(&cbb, '0'))
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goto err;
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}
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if (!CBB_add_u8(&cbb, '\0'))
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goto err;
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if (!CBB_finish(&cbb, &s, &s_len))
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goto err;
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err:
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BN_free(tmp);
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CBB_cleanup(&cbb);
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freezero(data, data_len);
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return s;
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}
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int
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BN_dec2bn(BIGNUM **bn, const char *a)
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{
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BIGNUM *ret = NULL;
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BN_ULONG l = 0;
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int neg = 0, i, j;
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int num;
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if ((a == NULL) || (*a == '\0'))
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return (0);
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if (*a == '-') {
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neg = 1;
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a++;
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}
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for (i = 0; i <= (INT_MAX / 4) && isdigit((unsigned char)a[i]); i++)
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;
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if (i > INT_MAX / 4)
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return (0);
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num = i + neg;
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if (bn == NULL)
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return (num);
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/* a is the start of the digits, and it is 'i' long.
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* We chop it into BN_DEC_NUM digits at a time */
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if (*bn == NULL) {
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if ((ret = BN_new()) == NULL)
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return (0);
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} else {
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ret = *bn;
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BN_zero(ret);
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}
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/* i is the number of digits, a bit of an over expand */
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if (!bn_expand(ret, i * 4))
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goto err;
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j = BN_DEC_NUM - (i % BN_DEC_NUM);
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if (j == BN_DEC_NUM)
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j = 0;
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l = 0;
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while (*a) {
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l *= 10;
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l += *a - '0';
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a++;
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if (++j == BN_DEC_NUM) {
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if (!BN_mul_word(ret, BN_DEC_CONV))
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goto err;
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if (!BN_add_word(ret, l))
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goto err;
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l = 0;
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j = 0;
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}
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}
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bn_correct_top(ret);
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BN_set_negative(ret, neg);
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*bn = ret;
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return (num);
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err:
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if (*bn == NULL)
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BN_free(ret);
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return (0);
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}
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char *
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BN_bn2hex(const BIGNUM *bn)
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{
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int started = 0;
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uint8_t *s = NULL;
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size_t s_len;
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BN_ULONG v, w;
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int i, j;
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CBB cbb;
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if (!CBB_init(&cbb, 0))
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goto err;
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if (BN_is_negative(bn)) {
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if (!CBB_add_u8(&cbb, '-'))
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goto err;
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}
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if (BN_is_zero(bn)) {
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if (!CBB_add_u8(&cbb, '0'))
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goto err;
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}
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for (i = bn->top - 1; i >= 0; i--) {
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w = bn->d[i];
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for (j = BN_BITS2 - 8; j >= 0; j -= 8) {
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v = (w >> j) & 0xff;
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if (!started && v == 0)
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continue;
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if (!CBB_add_u8(&cbb, hex_digits[v >> 4]))
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goto err;
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if (!CBB_add_u8(&cbb, hex_digits[v & 0xf]))
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goto err;
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started = 1;
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}
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}
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if (!CBB_add_u8(&cbb, '\0'))
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goto err;
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if (!CBB_finish(&cbb, &s, &s_len))
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goto err;
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err:
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CBB_cleanup(&cbb);
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return s;
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}
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int
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BN_hex2bn(BIGNUM **bn, const char *a)
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{
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BIGNUM *ret = NULL;
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BN_ULONG l = 0;
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int neg = 0, h, m, i,j, k, c;
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int num;
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if ((a == NULL) || (*a == '\0'))
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return (0);
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if (*a == '-') {
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neg = 1;
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a++;
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}
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for (i = 0; i <= (INT_MAX / 4) && isxdigit((unsigned char)a[i]); i++)
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;
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if (i > INT_MAX / 4)
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return (0);
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num = i + neg;
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if (bn == NULL)
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return (num);
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/* a is the start of the hex digits, and it is 'i' long */
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if (*bn == NULL) {
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if ((ret = BN_new()) == NULL)
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return (0);
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} else {
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ret = *bn;
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BN_zero(ret);
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}
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/* i is the number of hex digits */
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if (!bn_expand(ret, i * 4))
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goto err;
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j = i; /* least significant 'hex' */
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m = 0;
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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 = a[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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l = (l << 4) | k;
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if (--m <= 0) {
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ret->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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ret->top = h;
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bn_correct_top(ret);
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BN_set_negative(ret, neg);
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*bn = ret;
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return (num);
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err:
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if (*bn == NULL)
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BN_free(ret);
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return (0);
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}
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int
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BN_bn2mpi(const BIGNUM *a, unsigned char *d)
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{
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int bits;
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int num = 0;
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int ext = 0;
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long l;
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bits = BN_num_bits(a);
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num = (bits + 7) / 8;
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if (bits > 0) {
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ext = ((bits & 0x07) == 0);
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}
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if (d == NULL)
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return (num + 4 + ext);
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l = num + ext;
|
|
d[0] = (unsigned char)(l >> 24) & 0xff;
|
|
d[1] = (unsigned char)(l >> 16) & 0xff;
|
|
d[2] = (unsigned char)(l >> 8) & 0xff;
|
|
d[3] = (unsigned char)(l) & 0xff;
|
|
if (ext)
|
|
d[4] = 0;
|
|
num = BN_bn2bin(a, &(d[4 + ext]));
|
|
if (a->neg)
|
|
d[4] |= 0x80;
|
|
return (num + 4 + ext);
|
|
}
|
|
|
|
BIGNUM *
|
|
BN_mpi2bn(const unsigned char *d, int n, BIGNUM *ain)
|
|
{
|
|
BIGNUM *a = ain;
|
|
long len;
|
|
int neg = 0;
|
|
|
|
if (n < 4) {
|
|
BNerror(BN_R_INVALID_LENGTH);
|
|
return (NULL);
|
|
}
|
|
len = ((long)d[0] << 24) | ((long)d[1] << 16) | ((int)d[2] << 8) |
|
|
(int)d[3];
|
|
if ((len + 4) != n) {
|
|
BNerror(BN_R_ENCODING_ERROR);
|
|
return (NULL);
|
|
}
|
|
|
|
if (a == NULL)
|
|
a = BN_new();
|
|
if (a == NULL)
|
|
return (NULL);
|
|
|
|
if (len == 0) {
|
|
a->neg = 0;
|
|
a->top = 0;
|
|
return (a);
|
|
}
|
|
d += 4;
|
|
if ((*d) & 0x80)
|
|
neg = 1;
|
|
if (BN_bin2bn(d, (int)len, a) == NULL) {
|
|
if (ain == NULL)
|
|
BN_free(a);
|
|
return (NULL);
|
|
}
|
|
BN_set_negative(a, neg);
|
|
if (neg) {
|
|
BN_clear_bit(a, BN_num_bits(a) - 1);
|
|
}
|
|
return (a);
|
|
}
|
|
|
|
#ifndef OPENSSL_NO_BIO
|
|
int
|
|
BN_print_fp(FILE *fp, const BIGNUM *a)
|
|
{
|
|
BIO *b;
|
|
int ret;
|
|
|
|
if ((b = BIO_new(BIO_s_file())) == NULL)
|
|
return (0);
|
|
BIO_set_fp(b, fp, BIO_NOCLOSE);
|
|
ret = BN_print(b, a);
|
|
BIO_free(b);
|
|
return (ret);
|
|
}
|
|
|
|
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, &hex_digits[v], 1) != 1)
|
|
goto end;
|
|
z = 1;
|
|
}
|
|
}
|
|
}
|
|
ret = 1;
|
|
|
|
end:
|
|
return (ret);
|
|
}
|
|
#endif
|