2016-05-17 18:51:04 +00:00
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/*
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2017-07-06 21:29:55 +00:00
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* Copyright 1995-2017 The OpenSSL Project Authors. All Rights Reserved.
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1998-12-21 10:52:47 +00:00
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*
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2016-05-17 18:51:04 +00:00
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* Licensed under the OpenSSL license (the "License"). You may not use
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* this file except in compliance with the License. You can obtain a copy
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* in the file LICENSE in the source distribution or at
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* https://www.openssl.org/source/license.html
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1998-12-21 10:52:47 +00:00
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*/
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#include <stdio.h>
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2019-09-27 21:57:58 +00:00
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#include "crypto/ctype.h"
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2016-02-22 10:27:18 +00:00
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#include <limits.h>
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2015-05-14 14:56:48 +00:00
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#include "internal/cryptlib.h"
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1999-04-23 22:13:45 +00:00
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#include <openssl/buffer.h>
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2019-09-27 21:58:06 +00:00
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#include "bn_local.h"
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1998-12-21 10:52:47 +00:00
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2015-01-22 03:40:55 +00:00
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static const char Hex[] = "0123456789ABCDEF";
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1998-12-21 10:52:47 +00:00
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2000-06-01 22:19:21 +00:00
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/* Must 'OPENSSL_free' the returned data */
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1999-06-20 17:36:11 +00:00
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char *BN_bn2hex(const BIGNUM *a)
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2015-01-22 03:40:55 +00:00
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{
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int i, j, v, z = 0;
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char *buf;
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char *p;
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2016-09-05 22:08:43 +00:00
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if (BN_is_zero(a))
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return OPENSSL_strdup("0");
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buf = OPENSSL_malloc(a->top * BN_BYTES * 2 + 2);
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2015-01-22 03:40:55 +00:00
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if (buf == NULL) {
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BNerr(BN_F_BN_BN2HEX, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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p = buf;
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if (a->neg)
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2017-08-20 21:23:36 +00:00
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*p++ = '-';
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2015-01-22 03:40:55 +00:00
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for (i = a->top - 1; i >= 0; i--) {
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for (j = BN_BITS2 - 8; j >= 0; j -= 8) {
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/* strip leading zeros */
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2017-08-20 21:23:36 +00:00
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v = (int)((a->d[i] >> j) & 0xff);
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if (z || v != 0) {
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*p++ = Hex[v >> 4];
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*p++ = Hex[v & 0x0f];
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2015-01-22 03:40:55 +00:00
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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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err:
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2017-07-06 21:29:55 +00:00
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return buf;
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2015-01-22 03:40:55 +00:00
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}
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1998-12-21 10:52:47 +00:00
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2000-06-01 22:19:21 +00:00
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/* Must 'OPENSSL_free' the returned data */
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1999-06-20 17:36:11 +00:00
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char *BN_bn2dec(const BIGNUM *a)
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2015-01-22 03:40:55 +00:00
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{
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2017-07-07 00:17:59 +00:00
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int i = 0, num, ok = 0, n, tbytes;
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2015-01-22 03:40:55 +00:00
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char *buf = NULL;
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char *p;
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BIGNUM *t = NULL;
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BN_ULONG *bn_data = NULL, *lp;
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2016-08-05 13:26:03 +00:00
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int bn_data_num;
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2015-01-22 03:40:55 +00:00
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2015-01-17 00:06:54 +00:00
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/*-
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* get an upper bound for the length of the decimal integer
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* num <= (BN_num_bits(a) + 1) * log(2)
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2016-08-23 05:39:24 +00:00
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* <= 3 * BN_num_bits(a) * 0.101 + log(2) + 1 (rounding error)
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* <= 3 * BN_num_bits(a) / 10 + 3 * BN_num_bits / 1000 + 1 + 1
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2015-01-17 00:06:54 +00:00
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*/
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2015-01-22 03:40:55 +00:00
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i = BN_num_bits(a) * 3;
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num = (i / 10 + i / 1000 + 1) + 1;
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2017-07-07 00:17:59 +00:00
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tbytes = num + 3; /* negative and terminator and one spare? */
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2016-08-05 13:26:03 +00:00
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bn_data_num = num / BN_DEC_NUM + 1;
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bn_data = OPENSSL_malloc(bn_data_num * sizeof(BN_ULONG));
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2017-07-07 00:17:59 +00:00
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buf = OPENSSL_malloc(tbytes);
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2017-08-20 21:23:36 +00:00
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if (buf == NULL || bn_data == NULL) {
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2015-01-22 03:40:55 +00:00
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BNerr(BN_F_BN_BN2DEC, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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if ((t = BN_dup(a)) == NULL)
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goto err;
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1998-12-21 10:56:39 +00:00
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2015-01-22 03:40:55 +00:00
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p = buf;
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lp = bn_data;
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if (BN_is_zero(t)) {
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2017-08-20 21:23:36 +00:00
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*p++ = '0';
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*p++ = '\0';
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2015-01-22 03:40:55 +00:00
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} else {
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if (BN_is_negative(t))
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*p++ = '-';
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while (!BN_is_zero(t)) {
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2016-08-21 17:36:36 +00:00
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if (lp - bn_data >= bn_data_num)
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goto err;
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2015-01-22 03:40:55 +00:00
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*lp = BN_div_word(t, BN_DEC_CONV);
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2016-08-05 13:26:03 +00:00
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if (*lp == (BN_ULONG)-1)
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goto err;
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2015-01-22 03:40:55 +00:00
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lp++;
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}
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lp--;
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/*
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* We now have a series of blocks, BN_DEC_NUM chars in length, where
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* the last one needs truncation. The blocks need to be reversed in
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* order.
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*/
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2017-07-07 00:17:59 +00:00
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n = BIO_snprintf(p, tbytes - (size_t)(p - buf), BN_DEC_FMT1, *lp);
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if (n < 0)
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goto err;
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p += n;
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2015-01-22 03:40:55 +00:00
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while (lp != bn_data) {
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lp--;
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2017-07-07 00:17:59 +00:00
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n = BIO_snprintf(p, tbytes - (size_t)(p - buf), BN_DEC_FMT2, *lp);
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if (n < 0)
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goto err;
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p += n;
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2015-01-22 03:40:55 +00:00
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}
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}
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ok = 1;
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err:
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2015-05-01 14:02:07 +00:00
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OPENSSL_free(bn_data);
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2015-05-01 01:37:06 +00:00
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BN_free(t);
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2015-05-01 14:02:07 +00:00
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if (ok)
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return buf;
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OPENSSL_free(buf);
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return NULL;
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2015-01-22 03:40:55 +00:00
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}
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1998-12-21 10:56:39 +00:00
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1999-06-20 17:36:11 +00:00
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int BN_hex2bn(BIGNUM **bn, const char *a)
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2015-01-22 03:40:55 +00:00
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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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2017-08-20 21:23:36 +00:00
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if (a == NULL || *a == '\0')
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2017-07-06 21:29:55 +00:00
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return 0;
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2015-01-22 03:40:55 +00:00
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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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2017-08-20 21:23:36 +00:00
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for (i = 0; i <= INT_MAX / 4 && ossl_isxdigit(a[i]); i++)
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2016-02-22 10:27:18 +00:00
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continue;
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2017-08-20 21:23:36 +00:00
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if (i == 0 || i > INT_MAX / 4)
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2016-02-22 10:27:18 +00:00
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goto err;
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2015-01-22 03:40:55 +00:00
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num = i + neg;
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if (bn == NULL)
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2017-07-06 21:29:55 +00:00
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return num;
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2015-01-22 03:40:55 +00:00
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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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2017-07-06 21:29:55 +00:00
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return 0;
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2015-01-22 03:40:55 +00:00
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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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2016-02-22 10:27:18 +00:00
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/* i is the number of hex digits */
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2015-01-22 03:40:55 +00:00
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if (bn_expand(ret, i * 4) == NULL)
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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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2017-08-20 21:23:36 +00:00
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m = (BN_BYTES * 2 <= j) ? BN_BYTES * 2 : j;
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2015-01-22 03:40:55 +00:00
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l = 0;
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for (;;) {
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c = a[j - m];
|
2016-05-12 19:52:58 +00:00
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k = OPENSSL_hexchar2int(c);
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if (k < 0)
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2015-01-22 03:40:55 +00:00
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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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2017-08-20 21:23:36 +00:00
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j -= BN_BYTES * 2;
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2015-01-22 03:40:55 +00:00
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}
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ret->top = h;
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bn_correct_top(ret);
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*bn = ret;
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bn_check_top(ret);
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2016-09-05 22:08:43 +00:00
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/* Don't set the negative flag if it's zero. */
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if (ret->top != 0)
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ret->neg = neg;
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2017-07-06 21:29:55 +00:00
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return num;
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2015-01-22 03:40:55 +00:00
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err:
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if (*bn == NULL)
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BN_free(ret);
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2017-07-06 21:29:55 +00:00
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return 0;
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2015-01-22 03:40:55 +00:00
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}
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1998-12-21 10:52:47 +00:00
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1999-06-20 17:36:11 +00:00
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int BN_dec2bn(BIGNUM **bn, const char *a)
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2015-01-22 03:40:55 +00:00
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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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|
2017-08-20 21:23:36 +00:00
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if (a == NULL || *a == '\0')
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2017-07-06 21:29:55 +00:00
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return 0;
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2015-01-22 03:40:55 +00:00
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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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|
2017-08-20 21:23:36 +00:00
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for (i = 0; i <= INT_MAX / 4 && ossl_isdigit(a[i]); i++)
|
2016-02-22 10:27:18 +00:00
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continue;
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|
2017-08-20 21:23:36 +00:00
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if (i == 0 || i > INT_MAX / 4)
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2016-02-22 10:27:18 +00:00
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goto err;
|
2015-01-22 03:40:55 +00:00
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num = i + neg;
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if (bn == NULL)
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2017-07-06 21:29:55 +00:00
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return num;
|
2015-01-22 03:40:55 +00:00
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/*
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* a is the start of the digits, and it is 'i' long. We chop it into
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* BN_DEC_NUM digits at a time
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*/
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if (*bn == NULL) {
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if ((ret = BN_new()) == NULL)
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2017-07-06 21:29:55 +00:00
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return 0;
|
2015-01-22 03:40:55 +00:00
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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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|
2016-02-22 10:27:18 +00:00
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/* i is the number of digits, a bit of an over expand */
|
2015-01-22 03:40:55 +00:00
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if (bn_expand(ret, i * 4) == NULL)
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goto err;
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|
2017-08-20 21:23:36 +00:00
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j = BN_DEC_NUM - i % BN_DEC_NUM;
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2015-01-22 03:40:55 +00:00
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if (j == BN_DEC_NUM)
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j = 0;
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l = 0;
|
2016-09-05 22:08:43 +00:00
|
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while (--i >= 0) {
|
2015-01-22 03:40:55 +00:00
|
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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) {
|
2016-06-10 15:51:39 +00:00
|
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if (!BN_mul_word(ret, BN_DEC_CONV)
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|| !BN_add_word(ret, l))
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goto err;
|
2015-01-22 03:40:55 +00:00
|
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l = 0;
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j = 0;
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}
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}
|
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|
|
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bn_correct_top(ret);
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*bn = ret;
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|
|
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bn_check_top(ret);
|
2016-09-05 22:08:43 +00:00
|
|
|
/* Don't set the negative flag if it's zero. */
|
|
|
|
if (ret->top != 0)
|
|
|
|
ret->neg = neg;
|
2017-07-06 21:29:55 +00:00
|
|
|
return num;
|
2015-01-22 03:40:55 +00:00
|
|
|
err:
|
|
|
|
if (*bn == NULL)
|
|
|
|
BN_free(ret);
|
2017-07-06 21:29:55 +00:00
|
|
|
return 0;
|
2015-01-22 03:40:55 +00:00
|
|
|
}
|
1998-12-21 10:56:39 +00:00
|
|
|
|
2006-04-11 17:28:37 +00:00
|
|
|
int BN_asc2bn(BIGNUM **bn, const char *a)
|
2015-01-22 03:40:55 +00:00
|
|
|
{
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|
|
|
const char *p = a;
|
2016-09-05 22:08:43 +00:00
|
|
|
|
2015-01-22 03:40:55 +00:00
|
|
|
if (*p == '-')
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|
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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;
|
|
|
|
} else {
|
|
|
|
if (!BN_dec2bn(bn, p))
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|
|
|
return 0;
|
|
|
|
}
|
2016-09-05 22:08:43 +00:00
|
|
|
/* Don't set the negative flag if it's zero. */
|
|
|
|
if (*a == '-' && (*bn)->top != 0)
|
2015-01-22 03:40:55 +00:00
|
|
|
(*bn)->neg = 1;
|
|
|
|
return 1;
|
|
|
|
}
|
2006-04-11 17:28:37 +00:00
|
|
|
|
2015-01-22 03:40:55 +00:00
|
|
|
# ifndef OPENSSL_NO_STDIO
|
2000-01-27 01:50:42 +00:00
|
|
|
int BN_print_fp(FILE *fp, const BIGNUM *a)
|
2015-01-22 03:40:55 +00:00
|
|
|
{
|
|
|
|
BIO *b;
|
|
|
|
int ret;
|
|
|
|
|
|
|
|
if ((b = BIO_new(BIO_s_file())) == NULL)
|
2017-07-06 21:29:55 +00:00
|
|
|
return 0;
|
2015-01-22 03:40:55 +00:00
|
|
|
BIO_set_fp(b, fp, BIO_NOCLOSE);
|
|
|
|
ret = BN_print(b, a);
|
|
|
|
BIO_free(b);
|
2017-07-06 21:29:55 +00:00
|
|
|
return ret;
|
2015-01-22 03:40:55 +00:00
|
|
|
}
|
|
|
|
# endif
|
1998-12-21 10:52:47 +00:00
|
|
|
|
1999-06-05 12:16:33 +00:00
|
|
|
int BN_print(BIO *bp, const BIGNUM *a)
|
2015-01-22 03:40:55 +00:00
|
|
|
{
|
|
|
|
int i, j, v, z = 0;
|
|
|
|
int ret = 0;
|
|
|
|
|
2017-08-20 21:23:36 +00:00
|
|
|
if ((a->neg) && BIO_write(bp, "-", 1) != 1)
|
2015-01-22 03:40:55 +00:00
|
|
|
goto end;
|
2017-08-20 21:23:36 +00:00
|
|
|
if (BN_is_zero(a) && BIO_write(bp, "0", 1) != 1)
|
2015-01-22 03:40:55 +00:00
|
|
|
goto end;
|
|
|
|
for (i = a->top - 1; i >= 0; i--) {
|
|
|
|
for (j = BN_BITS2 - 4; j >= 0; j -= 4) {
|
|
|
|
/* strip leading zeros */
|
2017-08-23 16:28:05 +00:00
|
|
|
v = (int)((a->d[i] >> j) & 0x0f);
|
2017-08-20 21:23:36 +00:00
|
|
|
if (z || v != 0) {
|
|
|
|
if (BIO_write(bp, &Hex[v], 1) != 1)
|
2015-01-22 03:40:55 +00:00
|
|
|
goto end;
|
|
|
|
z = 1;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
ret = 1;
|
|
|
|
end:
|
2017-07-06 21:29:55 +00:00
|
|
|
return ret;
|
2015-01-22 03:40:55 +00:00
|
|
|
}
|
2011-01-25 17:10:30 +00:00
|
|
|
|
|
|
|
char *BN_options(void)
|
2015-01-22 03:40:55 +00:00
|
|
|
{
|
|
|
|
static int init = 0;
|
|
|
|
static char data[16];
|
2011-01-25 17:10:30 +00:00
|
|
|
|
2015-01-22 03:40:55 +00:00
|
|
|
if (!init) {
|
|
|
|
init++;
|
2011-01-25 17:10:30 +00:00
|
|
|
#ifdef BN_LLONG
|
2017-07-07 00:17:59 +00:00
|
|
|
BIO_snprintf(data, sizeof(data), "bn(%zu,%zu)",
|
|
|
|
sizeof(BN_ULLONG) * 8, sizeof(BN_ULONG) * 8);
|
2011-01-25 17:10:30 +00:00
|
|
|
#else
|
2017-07-07 00:17:59 +00:00
|
|
|
BIO_snprintf(data, sizeof(data), "bn(%zu,%zu)",
|
|
|
|
sizeof(BN_ULONG) * 8, sizeof(BN_ULONG) * 8);
|
2011-01-25 17:10:30 +00:00
|
|
|
#endif
|
2015-01-22 03:40:55 +00:00
|
|
|
}
|
2017-07-06 21:29:55 +00:00
|
|
|
return data;
|
2015-01-22 03:40:55 +00:00
|
|
|
}
|