2014-06-20 20:00:00 +01:00
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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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2015-08-11 16:47:56 +01:00
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#include <assert.h>
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2014-06-20 20:00:00 +01:00
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#include <ctype.h>
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2015-08-11 16:47:56 +01:00
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#include <limits.h>
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2014-06-20 20:00:00 +01:00
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#include <stdio.h>
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#include <openssl/bio.h>
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2015-12-17 07:01:25 +00:00
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#include <openssl/bytestring.h>
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2014-06-20 20:00:00 +01:00
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#include <openssl/err.h>
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#include <openssl/mem.h>
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2017-04-28 22:47:06 +01:00
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#include "../fipsmodule/bn/internal.h"
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2014-06-20 20:00:00 +01:00
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2014-06-20 20:00:00 +01:00
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2015-12-17 07:01:25 +00:00
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int BN_bn2cbb_padded(CBB *out, size_t len, const BIGNUM *in) {
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uint8_t *ptr;
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return CBB_add_space(out, &ptr, len) && BN_bn2bin_padded(ptr, len, in);
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}
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2014-06-20 20:00:00 +01:00
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static const char hextable[] = "0123456789abcdef";
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char *BN_bn2hex(const BIGNUM *bn) {
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2018-01-25 23:02:45 +00:00
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int width = bn_minimal_width(bn);
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2016-08-02 17:49:38 +01:00
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char *buf = OPENSSL_malloc(1 /* leading '-' */ + 1 /* zero is non-empty */ +
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2018-01-25 23:02:45 +00:00
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width * BN_BYTES * 2 + 1 /* trailing NUL */);
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2014-06-20 20:00:00 +01:00
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if (buf == NULL) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
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2014-06-20 20:00:00 +01:00
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return NULL;
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}
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2016-08-02 17:49:38 +01:00
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char *p = buf;
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2014-06-20 20:00:00 +01:00
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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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2016-08-02 17:49:38 +01:00
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int z = 0;
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2018-01-25 23:02:45 +00:00
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for (int i = width - 1; i >= 0; i--) {
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2016-08-02 17:49:38 +01:00
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for (int j = BN_BITS2 - 8; j >= 0; j -= 8) {
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2017-08-18 19:06:02 +01:00
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// strip leading zeros
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2016-08-02 17:49:38 +01:00
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int v = ((int)(bn->d[i] >> (long)j)) & 0xff;
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2014-06-20 20:00:00 +01:00
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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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2017-08-18 19:06:02 +01:00
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// decode_hex decodes |in_len| bytes of hex data from |in| and updates |bn|.
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2015-08-11 16:47:56 +01:00
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static int decode_hex(BIGNUM *bn, const char *in, int in_len) {
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if (in_len > INT_MAX/4) {
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OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
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return 0;
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}
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2017-08-18 19:06:02 +01:00
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// |in_len| is the number of hex digits.
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2017-04-21 16:26:30 +01:00
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if (!bn_expand(bn, in_len * 4)) {
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2015-08-11 16:47:56 +01:00
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return 0;
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}
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2014-06-20 20:00:00 +01:00
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2015-08-11 16:47:56 +01:00
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int i = 0;
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while (in_len > 0) {
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2017-08-18 19:06:02 +01:00
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// Decode one |BN_ULONG| at a time.
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2015-08-11 16:47:56 +01:00
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int todo = BN_BYTES * 2;
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if (todo > in_len) {
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todo = in_len;
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}
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2014-06-20 20:00:00 +01:00
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2015-08-11 16:47:56 +01:00
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BN_ULONG word = 0;
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int j;
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for (j = todo; j > 0; j--) {
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char c = in[in_len - j];
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BN_ULONG hex;
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if (c >= '0' && c <= '9') {
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hex = c - '0';
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} else if (c >= 'a' && c <= 'f') {
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hex = c - 'a' + 10;
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} else if (c >= 'A' && c <= 'F') {
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hex = c - 'A' + 10;
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} else {
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hex = 0;
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2017-08-18 19:06:02 +01:00
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// This shouldn't happen. The caller checks |isxdigit|.
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2015-08-11 16:47:56 +01:00
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assert(0);
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2014-06-20 20:00:00 +01:00
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}
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2015-08-11 16:47:56 +01:00
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word = (word << 4) | hex;
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2014-06-20 20:00:00 +01:00
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}
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2015-08-11 16:47:56 +01:00
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bn->d[i++] = word;
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in_len -= todo;
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2014-06-20 20:00:00 +01:00
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}
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2015-08-11 16:47:56 +01:00
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assert(i <= bn->dmax);
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2018-01-15 10:23:24 +00:00
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bn->width = i;
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2015-08-11 16:47:56 +01:00
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return 1;
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2014-06-20 20:00:00 +01:00
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}
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2017-08-18 19:06:02 +01:00
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// decode_dec decodes |in_len| bytes of decimal data from |in| and updates |bn|.
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2015-08-11 16:47:56 +01:00
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static int decode_dec(BIGNUM *bn, const char *in, int in_len) {
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2015-04-21 00:52:31 +01:00
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int i, j;
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2014-06-20 20:00:00 +01:00
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BN_ULONG l = 0;
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2017-08-18 19:06:02 +01:00
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// Decode |BN_DEC_NUM| digits at a time.
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2015-04-21 00:52:31 +01:00
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j = BN_DEC_NUM - (in_len % BN_DEC_NUM);
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2014-06-20 20:00:00 +01:00
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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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2015-04-21 00:52:31 +01:00
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for (i = 0; i < in_len; i++) {
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2014-06-20 20:00:00 +01:00
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l *= 10;
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2015-04-21 00:52:31 +01:00
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l += in[i] - '0';
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2014-06-20 20:00:00 +01:00
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if (++j == BN_DEC_NUM) {
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2015-08-11 16:47:56 +01:00
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if (!BN_mul_word(bn, BN_DEC_CONV) ||
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!BN_add_word(bn, l)) {
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return 0;
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}
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2014-06-20 20:00:00 +01:00
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l = 0;
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j = 0;
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}
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}
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2015-08-11 16:47:56 +01:00
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return 1;
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2014-06-20 20:00:00 +01:00
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}
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2015-08-11 16:47:56 +01:00
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typedef int (*decode_func) (BIGNUM *bn, const char *in, int in_len);
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2014-06-20 20:00:00 +01:00
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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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2015-08-11 16:47:56 +01:00
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for (i = 0; want_char((unsigned char)in[i]) && i + neg < INT_MAX; i++) {}
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2014-06-20 20:00:00 +01:00
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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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|
2017-08-18 19:06:02 +01:00
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// in is the start of the hex digits, and it is 'i' long
|
2014-06-20 20:00:00 +01:00
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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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|
2015-08-11 16:47:56 +01:00
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if (!decode(ret, in, i)) {
|
2014-06-20 20:00:00 +01:00
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goto err;
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}
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2018-01-15 10:23:24 +00:00
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bn_set_minimal_width(ret);
|
2015-04-21 00:52:31 +01:00
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if (!BN_is_zero(ret)) {
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ret->neg = neg;
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}
|
2014-06-20 20:00:00 +01:00
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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) {
|
2017-08-18 19:06:02 +01:00
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// It is easier to print strings little-endian, so we assemble it in reverse
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// and fix at the end.
|
2016-08-23 06:19:01 +01:00
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BIGNUM *copy = NULL;
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CBB cbb;
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if (!CBB_init(&cbb, 16) ||
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!CBB_add_u8(&cbb, 0 /* trailing NUL */)) {
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goto cbb_err;
|
2016-08-02 17:49:38 +01:00
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}
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|
2016-08-23 06:19:01 +01:00
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if (BN_is_zero(a)) {
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if (!CBB_add_u8(&cbb, '0')) {
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goto cbb_err;
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}
|
2014-06-20 20:00:00 +01:00
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} else {
|
2016-08-23 06:19:01 +01:00
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|
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copy = BN_dup(a);
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if (copy == NULL) {
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goto err;
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}
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while (!BN_is_zero(copy)) {
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BN_ULONG word = BN_div_word(copy, BN_DEC_CONV);
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if (word == (BN_ULONG)-1) {
|
2016-08-16 07:01:54 +01:00
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goto err;
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}
|
2016-08-23 06:19:01 +01:00
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const int add_leading_zeros = !BN_is_zero(copy);
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for (int i = 0; i < BN_DEC_NUM && (add_leading_zeros || word != 0); i++) {
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if (!CBB_add_u8(&cbb, '0' + word % 10)) {
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goto cbb_err;
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}
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word /= 10;
|
2014-06-20 20:00:00 +01:00
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}
|
2016-08-23 06:19:01 +01:00
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|
|
assert(word == 0);
|
2014-06-20 20:00:00 +01:00
|
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}
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|
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}
|
|
|
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|
2016-08-23 06:19:01 +01:00
|
|
|
if (BN_is_negative(a) &&
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|
|
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!CBB_add_u8(&cbb, '-')) {
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goto cbb_err;
|
2014-06-20 20:00:00 +01:00
|
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}
|
|
|
|
|
2016-08-23 06:19:01 +01:00
|
|
|
uint8_t *data;
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|
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size_t len;
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if (!CBB_finish(&cbb, &data, &len)) {
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goto cbb_err;
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|
|
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}
|
|
|
|
|
2017-08-18 19:06:02 +01:00
|
|
|
// Reverse the buffer.
|
2016-08-23 06:19:01 +01:00
|
|
|
for (size_t i = 0; i < len/2; i++) {
|
|
|
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uint8_t tmp = data[i];
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|
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data[i] = data[len - 1 - i];
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|
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data[len - 1 - i] = tmp;
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}
|
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|
|
BN_free(copy);
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|
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return (char *)data;
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|
|
|
|
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|
|
cbb_err:
|
|
|
|
OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
|
|
|
|
err:
|
|
|
|
BN_free(copy);
|
|
|
|
CBB_cleanup(&cbb);
|
|
|
|
return NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int BN_dec2bn(BIGNUM **outp, const char *in) {
|
|
|
|
return bn_x2bn(outp, in, decode_dec, isdigit);
|
|
|
|
}
|
|
|
|
|
|
|
|
int BN_asc2bn(BIGNUM **outp, const char *in) {
|
|
|
|
const char *const orig_in = in;
|
|
|
|
if (*in == '-') {
|
|
|
|
in++;
|
|
|
|
}
|
|
|
|
|
|
|
|
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;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2015-04-21 00:52:31 +01:00
|
|
|
if (*orig_in == '-' && !BN_is_zero(*outp)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
(*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;
|
|
|
|
}
|
|
|
|
|
2018-01-25 23:02:45 +00:00
|
|
|
for (i = bn_minimal_width(a) - 1; i >= 0; i--) {
|
2014-06-20 20:00:00 +01:00
|
|
|
for (j = BN_BITS2 - 4; j >= 0; j -= 4) {
|
2017-08-18 19:06:02 +01:00
|
|
|
// strip leading zeros
|
2014-06-20 20:00:00 +01:00
|
|
|
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) {
|
2018-09-22 23:56:39 +01:00
|
|
|
BIO *b = BIO_new_fp(fp, BIO_NOCLOSE);
|
2014-06-20 20:00:00 +01:00
|
|
|
if (b == NULL) {
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2018-09-22 23:56:39 +01:00
|
|
|
int ret = BN_print(b, a);
|
|
|
|
BIO_free(b);
|
2014-06-20 20:00:00 +01:00
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
2016-12-16 00:28:44 +00:00
|
|
|
|
2015-08-12 01:17:28 +01:00
|
|
|
size_t BN_bn2mpi(const BIGNUM *in, uint8_t *out) {
|
|
|
|
const size_t bits = BN_num_bits(in);
|
|
|
|
const size_t bytes = (bits + 7) / 8;
|
2017-08-18 19:06:02 +01:00
|
|
|
// If the number of bits is a multiple of 8, i.e. if the MSB is set,
|
|
|
|
// prefix with a zero byte.
|
2015-08-12 01:17:28 +01:00
|
|
|
int extend = 0;
|
|
|
|
if (bytes != 0 && (bits & 0x07) == 0) {
|
|
|
|
extend = 1;
|
|
|
|
}
|
|
|
|
|
|
|
|
const size_t len = bytes + extend;
|
|
|
|
if (len < bytes ||
|
|
|
|
4 + len < len ||
|
|
|
|
(len & 0xffffffff) != len) {
|
2017-08-18 19:06:02 +01:00
|
|
|
// If we cannot represent the number then we emit zero as the interface
|
|
|
|
// doesn't allow an error to be signalled.
|
2015-08-12 01:17:28 +01:00
|
|
|
if (out) {
|
2016-12-13 06:07:13 +00:00
|
|
|
OPENSSL_memset(out, 0, 4);
|
2015-08-12 01:17:28 +01:00
|
|
|
}
|
|
|
|
return 4;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (out == NULL) {
|
|
|
|
return 4 + len;
|
|
|
|
}
|
|
|
|
|
|
|
|
out[0] = len >> 24;
|
|
|
|
out[1] = len >> 16;
|
|
|
|
out[2] = len >> 8;
|
|
|
|
out[3] = len;
|
|
|
|
if (extend) {
|
|
|
|
out[4] = 0;
|
|
|
|
}
|
|
|
|
BN_bn2bin(in, out + 4 + extend);
|
|
|
|
if (in->neg && len > 0) {
|
|
|
|
out[4] |= 0x80;
|
|
|
|
}
|
|
|
|
return len + 4;
|
|
|
|
}
|
|
|
|
|
|
|
|
BIGNUM *BN_mpi2bn(const uint8_t *in, size_t len, BIGNUM *out) {
|
|
|
|
if (len < 4) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, BN_R_BAD_ENCODING);
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
const size_t in_len = ((size_t)in[0] << 24) |
|
|
|
|
((size_t)in[1] << 16) |
|
|
|
|
((size_t)in[2] << 8) |
|
|
|
|
((size_t)in[3]);
|
|
|
|
if (in_len != len - 4) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, BN_R_BAD_ENCODING);
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
|
2016-04-29 01:28:11 +01:00
|
|
|
int out_is_alloced = 0;
|
2015-08-12 01:17:28 +01:00
|
|
|
if (out == NULL) {
|
|
|
|
out = BN_new();
|
2016-04-29 01:28:11 +01:00
|
|
|
if (out == NULL) {
|
|
|
|
OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
|
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
out_is_alloced = 1;
|
2015-08-12 01:17:28 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
if (in_len == 0) {
|
|
|
|
BN_zero(out);
|
|
|
|
return out;
|
|
|
|
}
|
|
|
|
|
|
|
|
in += 4;
|
|
|
|
if (BN_bin2bn(in, in_len, out) == NULL) {
|
2016-04-29 01:28:11 +01:00
|
|
|
if (out_is_alloced) {
|
|
|
|
BN_free(out);
|
|
|
|
}
|
2015-08-12 01:17:28 +01:00
|
|
|
return NULL;
|
|
|
|
}
|
|
|
|
out->neg = ((*in) & 0x80) != 0;
|
|
|
|
if (out->neg) {
|
|
|
|
BN_clear_bit(out, BN_num_bits(out) - 1);
|
|
|
|
}
|
|
|
|
return out;
|
|
|
|
}
|