/* 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 #include #include #include #include #include #include "internal.h" #include "../../internal.h" #include "../rand/internal.h" int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) { 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; } if (bits > INT_MAX - (BN_BITS2 - 1)) { OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG); return 0; } int words = (bits + BN_BITS2 - 1) / BN_BITS2; int bit = (bits - 1) % BN_BITS2; const BN_ULONG kOne = 1; const BN_ULONG kThree = 3; BN_ULONG mask = bit < BN_BITS2 - 1 ? (kOne << (bit + 1)) - 1 : BN_MASK2; if (!bn_wexpand(rnd, words)) { return 0; } // |RAND_bytes| calls within the fipsmodule should be wrapped with state lock // functions to avoid updating the service indicator with the DRBG functions. FIPS_service_indicator_lock_state(); RAND_bytes((uint8_t *)rnd->d, words * sizeof(BN_ULONG)); FIPS_service_indicator_unlock_state(); rnd->d[words - 1] &= mask; if (top != BN_RAND_TOP_ANY) { if (top == BN_RAND_TOP_TWO && bits > 1) { if (bit == 0) { rnd->d[words - 1] |= 1; rnd->d[words - 2] |= kOne << (BN_BITS2 - 1); } else { rnd->d[words - 1] |= kThree << (bit - 1); } } else { rnd->d[words - 1] |= kOne << bit; } } if (bottom == BN_RAND_BOTTOM_ODD) { rnd->d[0] |= 1; } rnd->neg = 0; rnd->width = words; return 1; } int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) { return BN_rand(rnd, bits, top, bottom); } // bn_less_than_word_mask returns a mask of all ones 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 crypto_word_t bn_less_than_word_mask(const BN_ULONG *a, size_t len, BN_ULONG b) { if (b == 0) { return CONSTTIME_FALSE_W; } if (len == 0) { return CONSTTIME_TRUE_W; } // |a| < |b| iff a[1..len-1] are all zero and a[0] < b. OPENSSL_STATIC_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t), crypto_word_t_is_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 mask; } int bn_in_range_words(const BN_ULONG *a, BN_ULONG min_inclusive, const BN_ULONG *max_exclusive, size_t len) { crypto_word_t mask = ~bn_less_than_word_mask(a, len, min_inclusive); return mask & bn_less_than_words(a, max_exclusive, len); } static int bn_range_to_mask(size_t *out_words, BN_ULONG *out_mask, size_t min_inclusive, const BN_ULONG *max_exclusive, size_t len) { // The magnitude of |max_exclusive| is assumed public. 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 *out_words = words; *out_mask = mask; return 1; } 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. // |RAND_bytes| calls within the fipsmodule should be wrapped with state lock // functions to avoid updating the service indicator with the DRBG functions. FIPS_service_indicator_lock_state(); int ret = 0; // 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; BN_ULONG mask; if (!bn_range_to_mask(&words, &mask, min_inclusive, max_exclusive, len)) { goto end; } // 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); goto end; } // 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|. The // result of this comparison may be treated as public. It only reveals how // many attempts were needed before we found a value in range. This is // independent of the final secret output, and has a distribution that // depends only on |min_inclusive| and |max_exclusive|, both of which are // public. } while (!constant_time_declassify_int( bn_in_range_words(out, min_inclusive, max_exclusive, words))); ret = 1; end: FIPS_service_indicator_unlock_state(); return ret; } int BN_rand_range_ex(BIGNUM *r, BN_ULONG min_inclusive, const BIGNUM *max_exclusive) { static const uint8_t kDefaultAdditionalData[32] = {0}; if (!bn_wexpand(r, max_exclusive->width) || !bn_rand_range_words(r->d, min_inclusive, max_exclusive->d, max_exclusive->width, kDefaultAdditionalData)) { return 0; } r->neg = 0; r->width = max_exclusive->width; return 1; } int bn_rand_secret_range(BIGNUM *r, int *out_is_uniform, BN_ULONG min_inclusive, const BIGNUM *max_exclusive) { // |RAND_bytes| calls within the fipsmodule should be wrapped with state lock // functions to avoid updating the service indicator with the DRBG functions. FIPS_service_indicator_lock_state(); int ret = 0; size_t words; BN_ULONG mask; if (!bn_range_to_mask(&words, &mask, min_inclusive, max_exclusive->d, max_exclusive->width) || !bn_wexpand(r, words)) { goto end; } assert(words > 0); assert(mask != 0); // The range must be large enough for bit tricks to fix invalid values. if (words == 1 && min_inclusive > mask >> 1) { OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE); goto end; } // Select a uniform random number with num_bits(max_exclusive) bits. RAND_bytes((uint8_t *)r->d, words * sizeof(BN_ULONG)); r->d[words - 1] &= mask; // Check, in constant-time, if the value is in range. *out_is_uniform = bn_in_range_words(r->d, min_inclusive, max_exclusive->d, words); crypto_word_t in_range = *out_is_uniform; in_range = 0 - in_range; // If the value is not in range, force it to be in range. r->d[0] |= constant_time_select_w(in_range, 0, min_inclusive); r->d[words - 1] &= constant_time_select_w(in_range, BN_MASK2, mask >> 1); assert(bn_in_range_words(r->d, min_inclusive, max_exclusive->d, words)); r->neg = 0; r->width = (int)words; ret = 1; end: FIPS_service_indicator_unlock_state(); return ret; } 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); }