2015-09-24 20:52:02 +00:00
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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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*/
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/* ====================================================================
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* Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
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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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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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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
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com). */
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#include <openssl/bn.h>
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#include <string.h>
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#include <openssl/err.h>
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#include <openssl/mem.h>
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#include <openssl/rand.h>
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2018-07-30 02:07:02 +00:00
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#include <openssl/type_check.h>
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#include "internal.h"
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#include "../../internal.h"
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#include "../rand/internal.h"
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static const uint8_t kDefaultAdditionalData[32] = {0};
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2015-09-24 20:52:02 +00:00
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int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) {
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uint8_t *buf = NULL;
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int ret = 0, bit, bytes, mask;
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if (rnd == NULL) {
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return 0;
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}
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2018-07-30 02:07:02 +00:00
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if (top != BN_RAND_TOP_ANY && top != BN_RAND_TOP_ONE &&
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top != BN_RAND_TOP_TWO) {
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OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (bottom != BN_RAND_BOTTOM_ANY && bottom != BN_RAND_BOTTOM_ODD) {
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OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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2015-09-24 20:52:02 +00:00
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if (bits == 0) {
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BN_zero(rnd);
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return 1;
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}
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bytes = (bits + 7) / 8;
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bit = (bits - 1) % 8;
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mask = 0xff << (bit + 1);
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buf = OPENSSL_malloc(bytes);
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if (buf == NULL) {
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OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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2018-07-30 02:07:02 +00:00
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// Make a random number and set the top and bottom bits.
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RAND_bytes(buf, bytes);
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2015-09-24 20:52:02 +00:00
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2018-07-30 02:07:02 +00:00
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if (top != BN_RAND_TOP_ANY) {
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if (top == BN_RAND_TOP_TWO && bits > 1) {
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2015-09-24 20:52:02 +00:00
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if (bit == 0) {
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buf[0] = 1;
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buf[1] |= 0x80;
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} else {
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buf[0] |= (3 << (bit - 1));
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}
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} else {
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buf[0] |= (1 << bit);
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}
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}
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buf[0] &= ~mask;
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2018-07-30 02:07:02 +00:00
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// Set the bottom bit if requested,
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if (bottom == BN_RAND_BOTTOM_ODD) {
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2015-09-24 20:52:02 +00:00
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buf[bytes - 1] |= 1;
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}
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if (!BN_bin2bn(buf, bytes, rnd)) {
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goto err;
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}
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ret = 1;
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err:
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2018-07-30 02:07:02 +00:00
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OPENSSL_free(buf);
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return ret;
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2015-09-24 20:52:02 +00:00
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}
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int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) {
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return BN_rand(rnd, bits, top, bottom);
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}
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2018-07-30 02:07:02 +00:00
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// bn_less_than_word returns one if the number represented by |len| words at |a|
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// is less than |b| and zero otherwise. It performs this computation in time
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// independent of the value of |a|. |b| is assumed public.
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static int bn_less_than_word(const BN_ULONG *a, size_t len, BN_ULONG b) {
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if (b == 0) {
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2015-09-24 20:52:02 +00:00
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return 0;
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}
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2018-07-30 02:07:02 +00:00
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if (len == 0) {
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return 1;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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// |a| < |b| iff a[1..len-1] are all zero and a[0] < b.
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OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
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crypto_word_t_too_small);
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crypto_word_t mask = 0;
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for (size_t i = 1; i < len; i++) {
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mask |= a[i];
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}
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// |mask| is now zero iff a[1..len-1] are all zero.
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mask = constant_time_is_zero_w(mask);
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mask &= constant_time_lt_w(a[0], b);
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return constant_time_select_int(mask, 1, 0);
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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int bn_in_range_words(const BN_ULONG *a, BN_ULONG min_inclusive,
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const BN_ULONG *max_exclusive, size_t len) {
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return bn_less_than_words(a, max_exclusive, len) &&
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!bn_less_than_word(a, len, min_inclusive);
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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int bn_rand_range_words(BN_ULONG *out, BN_ULONG min_inclusive,
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const BN_ULONG *max_exclusive, size_t len,
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const uint8_t additional_data[32]) {
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// This function implements the equivalent of steps 4 through 7 of FIPS 186-4
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// appendices B.4.2 and B.5.2. When called in those contexts, |max_exclusive|
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// is n and |min_inclusive| is one.
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// Compute the bit length of |max_exclusive| (step 1), in terms of a number of
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// |words| worth of entropy to fill and a mask of bits to clear in the top
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// word.
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size_t words = len;
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while (words > 0 && max_exclusive[words - 1] == 0) {
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words--;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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if (words == 0 ||
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(words == 1 && max_exclusive[0] <= min_inclusive)) {
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OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE);
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return 0;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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BN_ULONG mask = max_exclusive[words - 1];
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// This sets all bits in |mask| below the most significant bit.
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mask |= mask >> 1;
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mask |= mask >> 2;
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mask |= mask >> 4;
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mask |= mask >> 8;
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mask |= mask >> 16;
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#if defined(OPENSSL_64_BIT)
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mask |= mask >> 32;
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#endif
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// Fill any unused words with zero.
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OPENSSL_memset(out + words, 0, (len - words) * sizeof(BN_ULONG));
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2015-09-24 20:52:02 +00:00
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2018-07-30 02:07:02 +00:00
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unsigned count = 100;
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do {
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if (!--count) {
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OPENSSL_PUT_ERROR(BN, BN_R_TOO_MANY_ITERATIONS);
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return 0;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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// Steps 4 and 5. Use |words| and |mask| together to obtain a string of N
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// bits, where N is the bit length of |max_exclusive|.
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RAND_bytes_with_additional_data((uint8_t *)out, words * sizeof(BN_ULONG),
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additional_data);
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out[words - 1] &= mask;
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2015-09-24 20:52:02 +00:00
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2018-07-30 02:07:02 +00:00
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// If out >= max_exclusive or out < min_inclusive, retry. This implements
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// the equivalent of steps 6 and 7 without leaking the value of |out|.
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} while (!bn_in_range_words(out, min_inclusive, max_exclusive, words));
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return 1;
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}
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int BN_rand_range_ex(BIGNUM *r, BN_ULONG min_inclusive,
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const BIGNUM *max_exclusive) {
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if (!bn_wexpand(r, max_exclusive->top) ||
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!bn_rand_range_words(r->d, min_inclusive, max_exclusive->d,
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max_exclusive->top, kDefaultAdditionalData)) {
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return 0;
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2015-09-24 20:52:02 +00:00
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}
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2018-07-30 02:07:02 +00:00
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r->neg = 0;
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r->top = max_exclusive->top;
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bn_correct_top(r);
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return 1;
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}
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2015-09-24 20:52:02 +00:00
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2018-07-30 02:07:02 +00:00
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int BN_rand_range(BIGNUM *r, const BIGNUM *range) {
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return BN_rand_range_ex(r, 0, range);
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}
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int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range) {
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return BN_rand_range(r, range);
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2015-09-24 20:52:02 +00:00
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}
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