| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299 |
- /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
- * All rights reserved.
- *
- * This package is an SSL implementation written
- * by Eric Young (eay@cryptsoft.com).
- * The implementation was written so as to conform with Netscapes SSL.
- *
- * This library is free for commercial and non-commercial use as long as
- * the following conditions are aheared to. The following conditions
- * apply to all code found in this distribution, be it the RC4, RSA,
- * lhash, DES, etc., code; not just the SSL code. The SSL documentation
- * included with this distribution is covered by the same copyright terms
- * except that the holder is Tim Hudson (tjh@cryptsoft.com).
- *
- * Copyright remains Eric Young's, and as such any Copyright notices in
- * the code are not to be removed.
- * If this package is used in a product, Eric Young should be given attribution
- * as the author of the parts of the library used.
- * This can be in the form of a textual message at program startup or
- * in documentation (online or textual) provided with the package.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 3. All advertising materials mentioning features or use of this software
- * must display the following acknowledgement:
- * "This product includes cryptographic software written by
- * Eric Young (eay@cryptsoft.com)"
- * The word 'cryptographic' can be left out if the rouines from the library
- * being used are not cryptographic related :-).
- * 4. If you include any Windows specific code (or a derivative thereof) from
- * the apps directory (application code) you must include an acknowledgement:
- * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
- *
- * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- *
- * The licence and distribution terms for any publically available version or
- * derivative of this code cannot be changed. i.e. this code cannot simply be
- * copied and put under another distribution licence
- * [including the GNU Public Licence.]
- */
- /* ====================================================================
- * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com). */
- #include <openssl/bn.h>
- #include <string.h>
- #include <openssl/err.h>
- #include <openssl/mem.h>
- #include <openssl/rand.h>
- #include <openssl/type_check.h>
- #include "internal.h"
- #include "../../internal.h"
- #include "../rand/internal.h"
- static const uint8_t kDefaultAdditionalData[32] = {0};
- int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) {
- uint8_t *buf = NULL;
- int ret = 0, bit, bytes, mask;
- if (rnd == NULL) {
- return 0;
- }
- if (top != BN_RAND_TOP_ANY && top != BN_RAND_TOP_ONE &&
- top != BN_RAND_TOP_TWO) {
- OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (bottom != BN_RAND_BOTTOM_ANY && bottom != BN_RAND_BOTTOM_ODD) {
- OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (bits == 0) {
- BN_zero(rnd);
- return 1;
- }
- bytes = (bits + 7) / 8;
- bit = (bits - 1) % 8;
- mask = 0xff << (bit + 1);
- buf = OPENSSL_malloc(bytes);
- if (buf == NULL) {
- OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
- goto err;
- }
- // Make a random number and set the top and bottom bits.
- RAND_bytes(buf, bytes);
- if (top != BN_RAND_TOP_ANY) {
- if (top == BN_RAND_TOP_TWO && bits > 1) {
- if (bit == 0) {
- buf[0] = 1;
- buf[1] |= 0x80;
- } else {
- buf[0] |= (3 << (bit - 1));
- }
- } else {
- buf[0] |= (1 << bit);
- }
- }
- buf[0] &= ~mask;
- // Set the bottom bit if requested,
- if (bottom == BN_RAND_BOTTOM_ODD) {
- buf[bytes - 1] |= 1;
- }
- if (!BN_bin2bn(buf, bytes, rnd)) {
- goto err;
- }
- ret = 1;
- err:
- OPENSSL_free(buf);
- return ret;
- }
- int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) {
- return BN_rand(rnd, bits, top, bottom);
- }
- // bn_less_than_word returns one if the number represented by |len| words at |a|
- // is less than |b| and zero otherwise. It performs this computation in time
- // independent of the value of |a|. |b| is assumed public.
- static int bn_less_than_word(const BN_ULONG *a, size_t len, BN_ULONG b) {
- if (b == 0) {
- return 0;
- }
- if (len == 0) {
- return 1;
- }
- // |a| < |b| iff a[1..len-1] are all zero and a[0] < b.
- OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
- crypto_word_t_too_small);
- crypto_word_t mask = 0;
- for (size_t i = 1; i < len; i++) {
- mask |= a[i];
- }
- // |mask| is now zero iff a[1..len-1] are all zero.
- mask = constant_time_is_zero_w(mask);
- mask &= constant_time_lt_w(a[0], b);
- return constant_time_select_int(mask, 1, 0);
- }
- int bn_in_range_words(const BN_ULONG *a, BN_ULONG min_inclusive,
- const BN_ULONG *max_exclusive, size_t len) {
- return bn_less_than_words(a, max_exclusive, len) &&
- !bn_less_than_word(a, len, min_inclusive);
- }
- int bn_rand_range_words(BN_ULONG *out, BN_ULONG min_inclusive,
- const BN_ULONG *max_exclusive, size_t len,
- const uint8_t additional_data[32]) {
- // This function implements the equivalent of steps 4 through 7 of FIPS 186-4
- // appendices B.4.2 and B.5.2. When called in those contexts, |max_exclusive|
- // is n and |min_inclusive| is one.
- // Compute the bit length of |max_exclusive| (step 1), in terms of a number of
- // |words| worth of entropy to fill and a mask of bits to clear in the top
- // word.
- size_t words = len;
- while (words > 0 && max_exclusive[words - 1] == 0) {
- words--;
- }
- if (words == 0 ||
- (words == 1 && max_exclusive[0] <= min_inclusive)) {
- OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE);
- return 0;
- }
- BN_ULONG mask = max_exclusive[words - 1];
- // This sets all bits in |mask| below the most significant bit.
- mask |= mask >> 1;
- mask |= mask >> 2;
- mask |= mask >> 4;
- mask |= mask >> 8;
- mask |= mask >> 16;
- #if defined(OPENSSL_64_BIT)
- mask |= mask >> 32;
- #endif
- // Fill any unused words with zero.
- OPENSSL_memset(out + words, 0, (len - words) * sizeof(BN_ULONG));
- unsigned count = 100;
- do {
- if (!--count) {
- OPENSSL_PUT_ERROR(BN, BN_R_TOO_MANY_ITERATIONS);
- return 0;
- }
- // Steps 4 and 5. Use |words| and |mask| together to obtain a string of N
- // bits, where N is the bit length of |max_exclusive|.
- RAND_bytes_with_additional_data((uint8_t *)out, words * sizeof(BN_ULONG),
- additional_data);
- out[words - 1] &= mask;
- // If out >= max_exclusive or out < min_inclusive, retry. This implements
- // the equivalent of steps 6 and 7 without leaking the value of |out|.
- } while (!bn_in_range_words(out, min_inclusive, max_exclusive, words));
- return 1;
- }
- int BN_rand_range_ex(BIGNUM *r, BN_ULONG min_inclusive,
- const BIGNUM *max_exclusive) {
- if (!bn_wexpand(r, max_exclusive->top) ||
- !bn_rand_range_words(r->d, min_inclusive, max_exclusive->d,
- max_exclusive->top, kDefaultAdditionalData)) {
- return 0;
- }
- r->neg = 0;
- r->top = max_exclusive->top;
- bn_correct_top(r);
- return 1;
- }
- int BN_rand_range(BIGNUM *r, const BIGNUM *range) {
- return BN_rand_range_ex(r, 0, range);
- }
- int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range) {
- return BN_rand_range(r, range);
- }
|