diff options
Diffstat (limited to 'Cryptlib/OpenSSL/crypto/bn/bn_gcd.c')
| -rw-r--r-- | Cryptlib/OpenSSL/crypto/bn/bn_gcd.c | 172 |
1 files changed, 45 insertions, 127 deletions
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c index ce59fe70..e1aac131 100644 --- a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c +++ b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c @@ -1,115 +1,13 @@ -/* crypto/bn/bn_gcd.c */ -/* 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). +/* + * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved. * + * Licensed under the OpenSSL license (the "License"). You may not use + * this file except in compliance with the License. You can obtain a copy + * in the file LICENSE in the source distribution or at + * https://www.openssl.org/source/license.html */ -#include "cryptlib.h" +#include "internal/cryptlib.h" #include "bn_lcl.h" static BIGNUM *euclid(BIGNUM *a, BIGNUM *b); @@ -226,10 +124,25 @@ static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, BIGNUM *BN_mod_inverse(BIGNUM *in, const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx) { + BIGNUM *rv; + int noinv; + rv = int_bn_mod_inverse(in, a, n, ctx, &noinv); + if (noinv) + BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE); + return rv; +} + +BIGNUM *int_bn_mod_inverse(BIGNUM *in, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx, + int *pnoinv) +{ BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL; BIGNUM *ret = NULL; int sign; + if (pnoinv) + *pnoinv = 0; + if ((BN_get_flags(a, BN_FLG_CONSTTIME) != 0) || (BN_get_flags(n, BN_FLG_CONSTTIME) != 0)) { return BN_mod_inverse_no_branch(in, a, n, ctx); @@ -276,11 +189,11 @@ BIGNUM *BN_mod_inverse(BIGNUM *in, * sign*Y*a == A (mod |n|). */ - if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048))) { + if (BN_is_odd(n) && (BN_num_bits(n) <= 2048)) { /* * Binary inversion algorithm; requires odd modulus. This is faster * than the general algorithm if the modulus is sufficiently small - * (about 400 .. 500 bits on 32-bit sytems, but much more on 64-bit + * (about 400 .. 500 bits on 32-bit systems, but much more on 64-bit * systems) */ int shift; @@ -457,7 +370,7 @@ BIGNUM *BN_mod_inverse(BIGNUM *in, * i.e. * sign*(Y + D*X)*a == B (mod |n|). * - * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at + * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at * -sign*X*a == B (mod |n|), * sign*Y*a == A (mod |n|). * Note that X and Y stay non-negative all the time. @@ -522,7 +435,8 @@ BIGNUM *BN_mod_inverse(BIGNUM *in, goto err; } } else { - BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE); + if (pnoinv) + *pnoinv = 1; goto err; } ret = R; @@ -543,8 +457,6 @@ static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, BN_CTX *ctx) { BIGNUM *A, *B, *X, *Y, *M, *D, *T, *R = NULL; - BIGNUM local_A, local_B; - BIGNUM *pA, *pB; BIGNUM *ret = NULL; int sign; @@ -582,11 +494,14 @@ static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked, * BN_div_no_branch will be called eventually. */ - pB = &local_B; - local_B.flags = 0; - BN_with_flags(pB, B, BN_FLG_CONSTTIME); - if (!BN_nnmod(B, pB, A, ctx)) - goto err; + { + BIGNUM local_B; + bn_init(&local_B); + BN_with_flags(&local_B, B, BN_FLG_CONSTTIME); + if (!BN_nnmod(B, &local_B, A, ctx)) + goto err; + /* Ensure local_B goes out of scope before any further use of B */ + } } sign = -1; /*- @@ -610,13 +525,16 @@ static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, * Turn BN_FLG_CONSTTIME flag on, so that when BN_div is invoked, * BN_div_no_branch will be called eventually. */ - pA = &local_A; - local_A.flags = 0; - BN_with_flags(pA, A, BN_FLG_CONSTTIME); + { + BIGNUM local_A; + bn_init(&local_A); + BN_with_flags(&local_A, A, BN_FLG_CONSTTIME); - /* (D, M) := (A/B, A%B) ... */ - if (!BN_div(D, M, pA, B, ctx)) - goto err; + /* (D, M) := (A/B, A%B) ... */ + if (!BN_div(D, M, &local_A, B, ctx)) + goto err; + /* Ensure local_A goes out of scope before any further use of A */ + } /*- * Now @@ -647,7 +565,7 @@ static BIGNUM *BN_mod_inverse_no_branch(BIGNUM *in, * i.e. * sign*(Y + D*X)*a == B (mod |n|). * - * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at + * So if we set (X, Y, sign) := (Y + D*X, X, -sign), we arrive back at * -sign*X*a == B (mod |n|), * sign*Y*a == A (mod |n|). * Note that X and Y stay non-negative all the time. |