774 lines
15 KiB
C
774 lines
15 KiB
C
/* $OpenBSD: bn_convert.c,v 1.15 2023/07/09 18:37:58 tb 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 int bn_dec2bn_cbs(BIGNUM **bnp, CBS *cbs);
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static int bn_hex2bn_cbs(BIGNUM **bnp, CBS *cbs);
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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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LCRYPTO_ALIAS(BN_bn2bin);
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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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LCRYPTO_ALIAS(BN_bn2binpad);
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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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LCRYPTO_ALIAS(BN_bin2bn);
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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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LCRYPTO_ALIAS(BN_bn2lebinpad);
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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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LCRYPTO_ALIAS(BN_lebin2bn);
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int
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BN_asc2bn(BIGNUM **bnp, const char *s)
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{
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CBS cbs, cbs_hex;
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size_t s_len;
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uint8_t v;
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int neg;
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if (bnp != NULL && *bnp != NULL)
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BN_zero(*bnp);
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if (s == NULL)
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return 0;
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if ((s_len = strlen(s)) == 0)
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return 0;
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CBS_init(&cbs, s, s_len);
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/* Handle negative sign. */
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if (!CBS_peek_u8(&cbs, &v))
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return 0;
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if ((neg = (v == '-'))) {
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if (!CBS_skip(&cbs, 1))
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return 0;
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}
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/* Try parsing as hexadecimal with a 0x prefix. */
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CBS_dup(&cbs, &cbs_hex);
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if (!CBS_get_u8(&cbs_hex, &v))
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goto decimal;
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if (v != '0')
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goto decimal;
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if (!CBS_get_u8(&cbs_hex, &v))
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goto decimal;
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if (v != 'X' && v != 'x')
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goto decimal;
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if (bn_hex2bn_cbs(bnp, &cbs_hex) == 0)
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return 0;
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goto done;
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decimal:
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if (bn_dec2bn_cbs(bnp, &cbs) == 0)
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return 0;
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done:
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if (bnp != NULL && *bnp != NULL)
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BN_set_negative(*bnp, neg);
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return 1;
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}
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LCRYPTO_ALIAS(BN_asc2bn);
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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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LCRYPTO_ALIAS(BN_bn2dec);
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static int
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bn_dec2bn_cbs(BIGNUM **bnp, CBS *cbs)
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{
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CBS cbs_digits;
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BIGNUM *bn = NULL;
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int d, neg, num;
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size_t digits = 0;
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BN_ULONG w;
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uint8_t v;
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/* Handle negative sign. */
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if (!CBS_peek_u8(cbs, &v))
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goto err;
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if ((neg = (v == '-'))) {
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if (!CBS_skip(cbs, 1))
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goto err;
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}
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/* Scan to find last decimal digit. */
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CBS_dup(cbs, &cbs_digits);
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while (CBS_len(&cbs_digits) > 0) {
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if (!CBS_get_u8(&cbs_digits, &v))
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goto err;
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if (!isdigit(v))
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break;
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digits++;
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}
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if (digits > INT_MAX / 4)
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goto err;
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num = digits + neg;
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if (bnp == NULL)
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return num;
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if ((bn = *bnp) == NULL)
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bn = BN_new();
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if (bn == NULL)
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goto err;
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if (!bn_expand(bn, digits * 4))
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goto err;
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if ((d = digits % BN_DEC_NUM) == 0)
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d = BN_DEC_NUM;
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w = 0;
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/* Work forwards from most significant digit. */
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while (digits-- > 0) {
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if (!CBS_get_u8(cbs, &v))
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goto err;
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if (v < '0' || v > '9')
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goto err;
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v -= '0';
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w = w * 10 + v;
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d--;
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if (d == 0) {
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if (!BN_mul_word(bn, BN_DEC_CONV))
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goto err;
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if (!BN_add_word(bn, w))
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goto err;
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d = BN_DEC_NUM;
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w = 0;
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}
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}
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bn_correct_top(bn);
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BN_set_negative(bn, neg);
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*bnp = bn;
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return num;
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err:
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if (bnp != NULL && *bnp == NULL)
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BN_free(bn);
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return 0;
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}
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int
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BN_dec2bn(BIGNUM **bnp, const char *s)
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{
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size_t s_len;
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CBS cbs;
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if (bnp != NULL && *bnp != NULL)
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BN_zero(*bnp);
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if (s == NULL)
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return 0;
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if ((s_len = strlen(s)) == 0)
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return 0;
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CBS_init(&cbs, s, s_len);
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return bn_dec2bn_cbs(bnp, &cbs);
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}
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LCRYPTO_ALIAS(BN_dec2bn);
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static int
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bn_bn2hex_internal(const BIGNUM *bn, int include_sign, int nibbles_only,
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char **out, size_t *out_len)
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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 = 0;
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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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CBS cbs;
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uint8_t nul;
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int ret = 0;
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*out = NULL;
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*out_len = 0;
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if (!CBB_init(&cbb, 0))
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goto err;
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if (BN_is_negative(bn) && include_sign) {
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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 (started || !nibbles_only || (v >> 4) != 0) {
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if (!CBB_add_u8(&cbb, hex_digits[v >> 4]))
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goto err;
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}
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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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/* The length of a C string does not include the terminating NUL. */
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CBS_init(&cbs, s, s_len);
|
|
if (!CBS_get_last_u8(&cbs, &nul))
|
|
goto err;
|
|
|
|
*out = (char *)CBS_data(&cbs);
|
|
*out_len = CBS_len(&cbs);
|
|
s = NULL;
|
|
s_len = 0;
|
|
|
|
ret = 1;
|
|
|
|
err:
|
|
CBB_cleanup(&cbb);
|
|
freezero(s, s_len);
|
|
|
|
return ret;
|
|
}
|
|
|
|
int
|
|
bn_bn2hex_nosign(const BIGNUM *bn, char **out, size_t *out_len)
|
|
{
|
|
return bn_bn2hex_internal(bn, 0, 0, out, out_len);
|
|
}
|
|
|
|
int
|
|
bn_bn2hex_nibbles(const BIGNUM *bn, char **out, size_t *out_len)
|
|
{
|
|
return bn_bn2hex_internal(bn, 1, 1, out, out_len);
|
|
}
|
|
|
|
char *
|
|
BN_bn2hex(const BIGNUM *bn)
|
|
{
|
|
char *s;
|
|
size_t s_len;
|
|
|
|
if (!bn_bn2hex_internal(bn, 1, 0, &s, &s_len))
|
|
return NULL;
|
|
|
|
return s;
|
|
}
|
|
LCRYPTO_ALIAS(BN_bn2hex);
|
|
|
|
static int
|
|
bn_hex2bn_cbs(BIGNUM **bnp, CBS *cbs)
|
|
{
|
|
CBS cbs_digits;
|
|
BIGNUM *bn = NULL;
|
|
int b, i, neg, num;
|
|
size_t digits = 0;
|
|
BN_ULONG w;
|
|
uint8_t v;
|
|
|
|
/* Handle negative sign. */
|
|
if (!CBS_peek_u8(cbs, &v))
|
|
goto err;
|
|
if ((neg = (v == '-'))) {
|
|
if (!CBS_skip(cbs, 1))
|
|
goto err;
|
|
}
|
|
|
|
/* Scan to find last hexadecimal digit. */
|
|
CBS_dup(cbs, &cbs_digits);
|
|
while (CBS_len(&cbs_digits) > 0) {
|
|
if (!CBS_get_u8(&cbs_digits, &v))
|
|
goto err;
|
|
if (!isxdigit(v))
|
|
break;
|
|
digits++;
|
|
}
|
|
if (digits > INT_MAX / 4)
|
|
goto err;
|
|
|
|
num = digits + neg;
|
|
|
|
if (bnp == NULL)
|
|
return num;
|
|
|
|
if ((bn = *bnp) == NULL)
|
|
bn = BN_new();
|
|
if (bn == NULL)
|
|
goto err;
|
|
if (!bn_expand(bn, digits * 4))
|
|
goto err;
|
|
|
|
if (!CBS_get_bytes(cbs, cbs, digits))
|
|
goto err;
|
|
|
|
b = BN_BITS2;
|
|
i = 0;
|
|
w = 0;
|
|
|
|
/* Work backwards from least significant digit. */
|
|
while (digits-- > 0) {
|
|
if (!CBS_get_last_u8(cbs, &v))
|
|
goto err;
|
|
|
|
if (v >= '0' && v <= '9')
|
|
v -= '0';
|
|
else if (v >= 'a' && v <= 'f')
|
|
v -= 'a' - 10;
|
|
else if (v >= 'A' && v <= 'F')
|
|
v -= 'A' - 10;
|
|
else
|
|
goto err;
|
|
|
|
w |= (BN_ULONG)v << (BN_BITS2 - b);
|
|
b -= 4;
|
|
|
|
if (b == 0 || digits == 0) {
|
|
b = BN_BITS2;
|
|
bn->d[i++] = w;
|
|
w = 0;
|
|
}
|
|
}
|
|
|
|
bn->top = i;
|
|
bn_correct_top(bn);
|
|
|
|
BN_set_negative(bn, neg);
|
|
|
|
*bnp = bn;
|
|
|
|
return num;
|
|
|
|
err:
|
|
if (bnp != NULL && *bnp == NULL)
|
|
BN_free(bn);
|
|
|
|
return 0;
|
|
}
|
|
|
|
int
|
|
BN_hex2bn(BIGNUM **bnp, const char *s)
|
|
{
|
|
size_t s_len;
|
|
CBS cbs;
|
|
|
|
if (bnp != NULL && *bnp != NULL)
|
|
BN_zero(*bnp);
|
|
|
|
if (s == NULL)
|
|
return 0;
|
|
if ((s_len = strlen(s)) == 0)
|
|
return 0;
|
|
|
|
CBS_init(&cbs, s, s_len);
|
|
|
|
return bn_hex2bn_cbs(bnp, &cbs);
|
|
}
|
|
LCRYPTO_ALIAS(BN_hex2bn);
|
|
|
|
int
|
|
BN_bn2mpi(const BIGNUM *a, unsigned char *d)
|
|
{
|
|
int bits;
|
|
int num = 0;
|
|
int ext = 0;
|
|
long l;
|
|
|
|
bits = BN_num_bits(a);
|
|
num = (bits + 7) / 8;
|
|
if (bits > 0) {
|
|
ext = ((bits & 0x07) == 0);
|
|
}
|
|
if (d == NULL)
|
|
return (num + 4 + ext);
|
|
|
|
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);
|
|
}
|
|
LCRYPTO_ALIAS(BN_bn2mpi);
|
|
|
|
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);
|
|
}
|
|
LCRYPTO_ALIAS(BN_mpi2bn);
|