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, 127 insertions, 45 deletions
diff --git a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c index e1aac131..ce59fe70 100644 --- a/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c +++ b/Cryptlib/OpenSSL/crypto/bn/bn_gcd.c @@ -1,13 +1,115 @@ -/* - * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved. +/* 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). * - * 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 "internal/cryptlib.h" +#include "cryptlib.h" #include "bn_lcl.h" static BIGNUM *euclid(BIGNUM *a, BIGNUM *b); @@ -124,25 +226,10 @@ 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); @@ -189,11 +276,11 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in, * sign*Y*a == A (mod |n|). */ - if (BN_is_odd(n) && (BN_num_bits(n) <= 2048)) { + if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 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 systems, but much more on 64-bit + * (about 400 .. 500 bits on 32-bit sytems, but much more on 64-bit * systems) */ int shift; @@ -370,7 +457,7 @@ BIGNUM *int_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. @@ -435,8 +522,7 @@ BIGNUM *int_bn_mod_inverse(BIGNUM *in, goto err; } } else { - if (pnoinv) - *pnoinv = 1; + BNerr(BN_F_BN_MOD_INVERSE, BN_R_NO_INVERSE); goto err; } ret = R; @@ -457,6 +543,8 @@ 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; @@ -494,14 +582,11 @@ 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. */ - { - 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 */ - } + pB = &local_B; + local_B.flags = 0; + BN_with_flags(pB, B, BN_FLG_CONSTTIME); + if (!BN_nnmod(B, pB, A, ctx)) + goto err; } sign = -1; /*- @@ -525,16 +610,13 @@ 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. */ - { - BIGNUM local_A; - bn_init(&local_A); - BN_with_flags(&local_A, A, BN_FLG_CONSTTIME); + pA = &local_A; + local_A.flags = 0; + BN_with_flags(pA, A, BN_FLG_CONSTTIME); - /* (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 */ - } + /* (D, M) := (A/B, A%B) ... */ + if (!BN_div(D, M, pA, B, ctx)) + goto err; /*- * Now @@ -565,7 +647,7 @@ 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. |