| Index: openssl/crypto/bn/bn_kron.c
|
| diff --git a/openssl/crypto/bn/bn_kron.c b/openssl/crypto/bn/bn_kron.c
|
| deleted file mode 100644
|
| index 740359b7520de3609e825801d96a5f41df81ea98..0000000000000000000000000000000000000000
|
| --- a/openssl/crypto/bn/bn_kron.c
|
| +++ /dev/null
|
| @@ -1,184 +0,0 @@
|
| -/* crypto/bn/bn_kron.c */
|
| -/* ====================================================================
|
| - * 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 "cryptlib.h"
|
| -#include "bn_lcl.h"
|
| -
|
| -/* least significant word */
|
| -#define BN_lsw(n) (((n)->top == 0) ? (BN_ULONG) 0 : (n)->d[0])
|
| -
|
| -/* Returns -2 for errors because both -1 and 0 are valid results. */
|
| -int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
|
| - {
|
| - int i;
|
| - int ret = -2; /* avoid 'uninitialized' warning */
|
| - int err = 0;
|
| - BIGNUM *A, *B, *tmp;
|
| - /* In 'tab', only odd-indexed entries are relevant:
|
| - * For any odd BIGNUM n,
|
| - * tab[BN_lsw(n) & 7]
|
| - * is $(-1)^{(n^2-1)/8}$ (using TeX notation).
|
| - * Note that the sign of n does not matter.
|
| - */
|
| - static const int tab[8] = {0, 1, 0, -1, 0, -1, 0, 1};
|
| -
|
| - bn_check_top(a);
|
| - bn_check_top(b);
|
| -
|
| - BN_CTX_start(ctx);
|
| - A = BN_CTX_get(ctx);
|
| - B = BN_CTX_get(ctx);
|
| - if (B == NULL) goto end;
|
| -
|
| - err = !BN_copy(A, a);
|
| - if (err) goto end;
|
| - err = !BN_copy(B, b);
|
| - if (err) goto end;
|
| -
|
| - /*
|
| - * Kronecker symbol, imlemented according to Henri Cohen,
|
| - * "A Course in Computational Algebraic Number Theory"
|
| - * (algorithm 1.4.10).
|
| - */
|
| -
|
| - /* Cohen's step 1: */
|
| -
|
| - if (BN_is_zero(B))
|
| - {
|
| - ret = BN_abs_is_word(A, 1);
|
| - goto end;
|
| - }
|
| -
|
| - /* Cohen's step 2: */
|
| -
|
| - if (!BN_is_odd(A) && !BN_is_odd(B))
|
| - {
|
| - ret = 0;
|
| - goto end;
|
| - }
|
| -
|
| - /* now B is non-zero */
|
| - i = 0;
|
| - while (!BN_is_bit_set(B, i))
|
| - i++;
|
| - err = !BN_rshift(B, B, i);
|
| - if (err) goto end;
|
| - if (i & 1)
|
| - {
|
| - /* i is odd */
|
| - /* (thus B was even, thus A must be odd!) */
|
| -
|
| - /* set 'ret' to $(-1)^{(A^2-1)/8}$ */
|
| - ret = tab[BN_lsw(A) & 7];
|
| - }
|
| - else
|
| - {
|
| - /* i is even */
|
| - ret = 1;
|
| - }
|
| -
|
| - if (B->neg)
|
| - {
|
| - B->neg = 0;
|
| - if (A->neg)
|
| - ret = -ret;
|
| - }
|
| -
|
| - /* now B is positive and odd, so what remains to be done is
|
| - * to compute the Jacobi symbol (A/B) and multiply it by 'ret' */
|
| -
|
| - while (1)
|
| - {
|
| - /* Cohen's step 3: */
|
| -
|
| - /* B is positive and odd */
|
| -
|
| - if (BN_is_zero(A))
|
| - {
|
| - ret = BN_is_one(B) ? ret : 0;
|
| - goto end;
|
| - }
|
| -
|
| - /* now A is non-zero */
|
| - i = 0;
|
| - while (!BN_is_bit_set(A, i))
|
| - i++;
|
| - err = !BN_rshift(A, A, i);
|
| - if (err) goto end;
|
| - if (i & 1)
|
| - {
|
| - /* i is odd */
|
| - /* multiply 'ret' by $(-1)^{(B^2-1)/8}$ */
|
| - ret = ret * tab[BN_lsw(B) & 7];
|
| - }
|
| -
|
| - /* Cohen's step 4: */
|
| - /* multiply 'ret' by $(-1)^{(A-1)(B-1)/4}$ */
|
| - if ((A->neg ? ~BN_lsw(A) : BN_lsw(A)) & BN_lsw(B) & 2)
|
| - ret = -ret;
|
| -
|
| - /* (A, B) := (B mod |A|, |A|) */
|
| - err = !BN_nnmod(B, B, A, ctx);
|
| - if (err) goto end;
|
| - tmp = A; A = B; B = tmp;
|
| - tmp->neg = 0;
|
| - }
|
| -end:
|
| - BN_CTX_end(ctx);
|
| - if (err)
|
| - return -2;
|
| - else
|
| - return ret;
|
| - }
|
|
|