From eb8dd9dca1228af0cd132f515509051ecfabf6f6 Mon Sep 17 00:00:00 2001 From: cvs2svn Date: Mon, 14 Apr 2025 17:32:06 +0000 Subject: This commit was manufactured by cvs2git to create tag 'tb_20250414'. --- src/lib/libcrypto/bn/bn_kron.c | 195 ----------------------------------------- 1 file changed, 195 deletions(-) delete mode 100644 src/lib/libcrypto/bn/bn_kron.c (limited to 'src/lib/libcrypto/bn/bn_kron.c') diff --git a/src/lib/libcrypto/bn/bn_kron.c b/src/lib/libcrypto/bn/bn_kron.c deleted file mode 100644 index a170d688e9..0000000000 --- a/src/lib/libcrypto/bn/bn_kron.c +++ /dev/null @@ -1,195 +0,0 @@ -/* $OpenBSD: bn_kron.c,v 1.15 2023/07/08 12:21:58 beck Exp $ */ -/* ==================================================================== - * 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). - * - */ - -#include "bn_local.h" - -/* - * Kronecker symbol, implemented according to Henri Cohen, "A Course in - * Computational Algebraic Number Theory", Algorithm 1.4.10. - * - * Returns -1, 0, or 1 on success and -2 on error. - */ - -int -BN_kronecker(const BIGNUM *A, const BIGNUM *B, BN_CTX *ctx) -{ - /* tab[BN_lsw(n) & 7] = (-1)^((n^2 - 1)) / 8) for odd values of n. */ - static const int tab[8] = {0, 1, 0, -1, 0, -1, 0, 1}; - BIGNUM *a, *b, *tmp; - int k, v; - int ret = -2; - - BN_CTX_start(ctx); - - if ((a = BN_CTX_get(ctx)) == NULL) - goto end; - if ((b = BN_CTX_get(ctx)) == NULL) - goto end; - - if (!bn_copy(a, A)) - goto end; - if (!bn_copy(b, B)) - goto end; - - /* - * Cohen's step 1: - */ - - /* If b is zero, output 1 if |a| is 1, otherwise output 0. */ - if (BN_is_zero(b)) { - ret = BN_abs_is_word(a, 1); - goto end; - } - - /* - * Cohen's step 2: - */ - - /* If both are even, they have a factor in common, so output 0. */ - if (!BN_is_odd(a) && !BN_is_odd(b)) { - ret = 0; - goto end; - } - - /* Factorize b = 2^v * u with odd u and replace b with u. */ - v = 0; - while (!BN_is_bit_set(b, v)) - v++; - if (!BN_rshift(b, b, v)) - goto end; - - /* If v is even set k = 1, otherwise set it to (-1)^((a^2 - 1) / 8). */ - k = 1; - if (v % 2 != 0) - k = tab[BN_lsw(a) & 7]; - - /* - * If b is negative, replace it with -b and if a is also negative - * replace k with -k. - */ - if (BN_is_negative(b)) { - BN_set_negative(b, 0); - - if (BN_is_negative(a)) - k = -k; - } - - /* - * Now b is positive and odd, so compute the Jacobi symbol (a/b) - * and multiply it by k. - */ - - while (1) { - /* - * Cohen's step 3: - */ - - /* b is positive and odd. */ - - /* If a is zero output k if b is one, otherwise output 0. */ - if (BN_is_zero(a)) { - ret = BN_is_one(b) ? k : 0; - goto end; - } - - /* Factorize a = 2^v * u with odd u and replace a with u. */ - v = 0; - while (!BN_is_bit_set(a, v)) - v++; - if (!BN_rshift(a, a, v)) - goto end; - - /* If v is odd, multiply k with (-1)^((b^2 - 1) / 8). */ - if (v % 2 != 0) - k *= tab[BN_lsw(b) & 7]; - - /* - * Cohen's step 4: - */ - - /* - * Apply the reciprocity law: multiply k by (-1)^((a-1)(b-1)/4). - * - * This expression is -1 if and only if a and b are 3 (mod 4). - * In turn, this is the case if and only if their two's - * complement representations have the second bit set. - * a could be negative in the first iteration, b is positive. - */ - if ((BN_is_negative(a) ? ~BN_lsw(a) : BN_lsw(a)) & BN_lsw(b) & 2) - k = -k; - - /* - * (a, b) := (b mod |a|, |a|) - * - * Once this is done, we know that 0 < a < b at the start of the - * loop. Since b is strictly decreasing, the loop terminates. - */ - - if (!BN_nnmod(b, b, a, ctx)) - goto end; - - tmp = a; - a = b; - b = tmp; - - BN_set_negative(b, 0); - } - - end: - BN_CTX_end(ctx); - - return ret; -} -LCRYPTO_ALIAS(BN_kronecker); -- cgit v1.2.3-55-g6feb