diff options
Diffstat (limited to 'crypto/bn/bn_mod.c')
| -rw-r--r-- | crypto/bn/bn_mod.c | 263 |
1 files changed, 134 insertions, 129 deletions
diff --git a/crypto/bn/bn_mod.c b/crypto/bn/bn_mod.c index ffbce890cf28..712fc8ac145b 100644 --- a/crypto/bn/bn_mod.c +++ b/crypto/bn/bn_mod.c @@ -1,129 +1,15 @@ -/* crypto/bn/bn_mod.c */ /* - * Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> - * for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2000 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 (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. + * Copyright 1998-2018 The OpenSSL Project Authors. All Rights Reserved. * - * 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.] + * 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" -#if 0 /* now just a #define */ -int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx) -{ - return (BN_div(NULL, rem, m, d, ctx)); - /* note that rem->neg == m->neg (unless the remainder is zero) */ -} -#endif - int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx) { /* @@ -149,18 +35,74 @@ int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, /* * BN_mod_add variant that may be used if both a and b are non-negative and - * less than m + * less than m. The original algorithm was + * + * if (!BN_uadd(r, a, b)) + * return 0; + * if (BN_ucmp(r, m) >= 0) + * return BN_usub(r, r, m); + * + * which is replaced with addition, subtracting modulus, and conditional + * move depending on whether or not subtraction borrowed. */ -int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, - const BIGNUM *m) +int bn_mod_add_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *m) { - if (!BN_uadd(r, a, b)) + size_t i, ai, bi, mtop = m->top; + BN_ULONG storage[1024 / BN_BITS2]; + BN_ULONG carry, temp, mask, *rp, *tp = storage; + const BN_ULONG *ap, *bp; + + if (bn_wexpand(r, mtop) == NULL) + return 0; + + if (mtop > sizeof(storage) / sizeof(storage[0]) + && (tp = OPENSSL_malloc(mtop * sizeof(BN_ULONG))) == NULL) return 0; - if (BN_ucmp(r, m) >= 0) - return BN_usub(r, r, m); + + ap = a->d != NULL ? a->d : tp; + bp = b->d != NULL ? b->d : tp; + + for (i = 0, ai = 0, bi = 0, carry = 0; i < mtop;) { + mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1)); + temp = ((ap[ai] & mask) + carry) & BN_MASK2; + carry = (temp < carry); + + mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1)); + tp[i] = ((bp[bi] & mask) + temp) & BN_MASK2; + carry += (tp[i] < temp); + + i++; + ai += (i - a->dmax) >> (8 * sizeof(i) - 1); + bi += (i - b->dmax) >> (8 * sizeof(i) - 1); + } + rp = r->d; + carry -= bn_sub_words(rp, tp, m->d, mtop); + for (i = 0; i < mtop; i++) { + rp[i] = (carry & tp[i]) | (~carry & rp[i]); + ((volatile BN_ULONG *)tp)[i] = 0; + } + r->top = mtop; + r->flags |= BN_FLG_FIXED_TOP; + r->neg = 0; + + if (tp != storage) + OPENSSL_free(tp); + return 1; } +int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *m) +{ + int ret = bn_mod_add_fixed_top(r, a, b, m); + + if (ret) + bn_correct_top(r); + + return ret; +} + int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx) { @@ -170,6 +112,70 @@ int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, } /* + * BN_mod_sub variant that may be used if both a and b are non-negative, + * a is less than m, while b is of same bit width as m. It's implemented + * as subtraction followed by two conditional additions. + * + * 0 <= a < m + * 0 <= b < 2^w < 2*m + * + * after subtraction + * + * -2*m < r = a - b < m + * + * Thus it takes up to two conditional additions to make |r| positive. + */ +int bn_mod_sub_fixed_top(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *m) +{ + size_t i, ai, bi, mtop = m->top; + BN_ULONG borrow, carry, ta, tb, mask, *rp; + const BN_ULONG *ap, *bp; + + if (bn_wexpand(r, mtop) == NULL) + return 0; + + rp = r->d; + ap = a->d != NULL ? a->d : rp; + bp = b->d != NULL ? b->d : rp; + + for (i = 0, ai = 0, bi = 0, borrow = 0; i < mtop;) { + mask = (BN_ULONG)0 - ((i - a->top) >> (8 * sizeof(i) - 1)); + ta = ap[ai] & mask; + + mask = (BN_ULONG)0 - ((i - b->top) >> (8 * sizeof(i) - 1)); + tb = bp[bi] & mask; + rp[i] = ta - tb - borrow; + if (ta != tb) + borrow = (ta < tb); + + i++; + ai += (i - a->dmax) >> (8 * sizeof(i) - 1); + bi += (i - b->dmax) >> (8 * sizeof(i) - 1); + } + ap = m->d; + for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) { + ta = ((ap[i] & mask) + carry) & BN_MASK2; + carry = (ta < carry); + rp[i] = (rp[i] + ta) & BN_MASK2; + carry += (rp[i] < ta); + } + borrow -= carry; + for (i = 0, mask = 0 - borrow, carry = 0; i < mtop; i++) { + ta = ((ap[i] & mask) + carry) & BN_MASK2; + carry = (ta < carry); + rp[i] = (rp[i] + ta) & BN_MASK2; + carry += (rp[i] < ta); + } + + r->top = mtop; + r->flags |= BN_FLG_FIXED_TOP; + r->neg = 0; + + return 1; +} + +/* * BN_mod_sub variant that may be used if both a and b are non-negative and * less than m */ @@ -210,7 +216,7 @@ int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, ret = 1; err: BN_CTX_end(ctx); - return (ret); + return ret; } int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx) @@ -262,8 +268,7 @@ int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, ret = BN_mod_lshift_quick(r, r, n, (abs_m ? abs_m : m)); bn_check_top(r); - if (abs_m) - BN_free(abs_m); + BN_free(abs_m); return ret; } |