mirror of
https://github.com/pineappleEA/pineapple-src.git
synced 2024-12-04 23:08:23 -05:00
309 lines
10 KiB
C
309 lines
10 KiB
C
|
/* $OpenBSD: bn_exp2.c,v 1.12 2017/01/29 17:49:22 beck Exp $ */
|
||
|
/* 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) 1998-2000 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 <stdio.h>
|
||
|
|
||
|
#include <openssl/err.h>
|
||
|
|
||
|
#include "bn_lcl.h"
|
||
|
|
||
|
#define TABLE_SIZE 32
|
||
|
|
||
|
int
|
||
|
BN_mod_exp2_mont(BIGNUM *rr, const BIGNUM *a1, const BIGNUM *p1,
|
||
|
const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, BN_CTX *ctx,
|
||
|
BN_MONT_CTX *in_mont)
|
||
|
{
|
||
|
int i, j, bits, b, bits1, bits2, ret = 0, wpos1, wpos2, window1, window2, wvalue1, wvalue2;
|
||
|
int r_is_one = 1;
|
||
|
BIGNUM *d, *r;
|
||
|
const BIGNUM *a_mod_m;
|
||
|
/* Tables of variables obtained from 'ctx' */
|
||
|
BIGNUM *val1[TABLE_SIZE], *val2[TABLE_SIZE];
|
||
|
BN_MONT_CTX *mont = NULL;
|
||
|
|
||
|
bn_check_top(a1);
|
||
|
bn_check_top(p1);
|
||
|
bn_check_top(a2);
|
||
|
bn_check_top(p2);
|
||
|
bn_check_top(m);
|
||
|
|
||
|
if (!(m->d[0] & 1)) {
|
||
|
BNerror(BN_R_CALLED_WITH_EVEN_MODULUS);
|
||
|
return (0);
|
||
|
}
|
||
|
bits1 = BN_num_bits(p1);
|
||
|
bits2 = BN_num_bits(p2);
|
||
|
if ((bits1 == 0) && (bits2 == 0)) {
|
||
|
ret = BN_one(rr);
|
||
|
return ret;
|
||
|
}
|
||
|
|
||
|
bits = (bits1 > bits2) ? bits1 : bits2;
|
||
|
|
||
|
BN_CTX_start(ctx);
|
||
|
if ((d = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((r = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((val1[0] = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((val2[0] = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
|
||
|
if (in_mont != NULL)
|
||
|
mont = in_mont;
|
||
|
else {
|
||
|
if ((mont = BN_MONT_CTX_new()) == NULL)
|
||
|
goto err;
|
||
|
if (!BN_MONT_CTX_set(mont, m, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
window1 = BN_window_bits_for_exponent_size(bits1);
|
||
|
window2 = BN_window_bits_for_exponent_size(bits2);
|
||
|
|
||
|
/*
|
||
|
* Build table for a1: val1[i] := a1^(2*i + 1) mod m for i = 0 .. 2^(window1-1)
|
||
|
*/
|
||
|
if (a1->neg || BN_ucmp(a1, m) >= 0) {
|
||
|
if (!BN_mod_ct(val1[0], a1, m, ctx))
|
||
|
goto err;
|
||
|
a_mod_m = val1[0];
|
||
|
} else
|
||
|
a_mod_m = a1;
|
||
|
if (BN_is_zero(a_mod_m)) {
|
||
|
BN_zero(rr);
|
||
|
ret = 1;
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
if (!BN_to_montgomery(val1[0], a_mod_m, mont, ctx))
|
||
|
goto err;
|
||
|
if (window1 > 1) {
|
||
|
if (!BN_mod_mul_montgomery(d, val1[0], val1[0], mont, ctx))
|
||
|
goto err;
|
||
|
|
||
|
j = 1 << (window1 - 1);
|
||
|
for (i = 1; i < j; i++) {
|
||
|
if (((val1[i] = BN_CTX_get(ctx)) == NULL) ||
|
||
|
!BN_mod_mul_montgomery(val1[i], val1[i - 1],
|
||
|
d, mont, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
/*
|
||
|
* Build table for a2: val2[i] := a2^(2*i + 1) mod m for i = 0 .. 2^(window2-1)
|
||
|
*/
|
||
|
if (a2->neg || BN_ucmp(a2, m) >= 0) {
|
||
|
if (!BN_mod_ct(val2[0], a2, m, ctx))
|
||
|
goto err;
|
||
|
a_mod_m = val2[0];
|
||
|
} else
|
||
|
a_mod_m = a2;
|
||
|
if (BN_is_zero(a_mod_m)) {
|
||
|
BN_zero(rr);
|
||
|
ret = 1;
|
||
|
goto err;
|
||
|
}
|
||
|
if (!BN_to_montgomery(val2[0], a_mod_m, mont, ctx))
|
||
|
goto err;
|
||
|
if (window2 > 1) {
|
||
|
if (!BN_mod_mul_montgomery(d, val2[0], val2[0], mont, ctx))
|
||
|
goto err;
|
||
|
|
||
|
j = 1 << (window2 - 1);
|
||
|
for (i = 1; i < j; i++) {
|
||
|
if (((val2[i] = BN_CTX_get(ctx)) == NULL) ||
|
||
|
!BN_mod_mul_montgomery(val2[i], val2[i - 1],
|
||
|
d, mont, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
|
||
|
/* Now compute the power product, using independent windows. */
|
||
|
r_is_one = 1;
|
||
|
wvalue1 = 0; /* The 'value' of the first window */
|
||
|
wvalue2 = 0; /* The 'value' of the second window */
|
||
|
wpos1 = 0; /* If wvalue1 > 0, the bottom bit of the first window */
|
||
|
wpos2 = 0; /* If wvalue2 > 0, the bottom bit of the second window */
|
||
|
|
||
|
if (!BN_to_montgomery(r, BN_value_one(), mont, ctx))
|
||
|
goto err;
|
||
|
for (b = bits - 1; b >= 0; b--) {
|
||
|
if (!r_is_one) {
|
||
|
if (!BN_mod_mul_montgomery(r, r,r, mont, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
if (!wvalue1)
|
||
|
if (BN_is_bit_set(p1, b)) {
|
||
|
/* consider bits b-window1+1 .. b for this window */
|
||
|
i = b - window1 + 1;
|
||
|
while (!BN_is_bit_set(p1, i)) /* works for i<0 */
|
||
|
i++;
|
||
|
wpos1 = i;
|
||
|
wvalue1 = 1;
|
||
|
for (i = b - 1; i >= wpos1; i--) {
|
||
|
wvalue1 <<= 1;
|
||
|
if (BN_is_bit_set(p1, i))
|
||
|
wvalue1++;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if (!wvalue2)
|
||
|
if (BN_is_bit_set(p2, b)) {
|
||
|
/* consider bits b-window2+1 .. b for this window */
|
||
|
i = b - window2 + 1;
|
||
|
while (!BN_is_bit_set(p2, i))
|
||
|
i++;
|
||
|
wpos2 = i;
|
||
|
wvalue2 = 1;
|
||
|
for (i = b - 1; i >= wpos2; i--) {
|
||
|
wvalue2 <<= 1;
|
||
|
if (BN_is_bit_set(p2, i))
|
||
|
wvalue2++;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if (wvalue1 && b == wpos1) {
|
||
|
/* wvalue1 is odd and < 2^window1 */
|
||
|
if (!BN_mod_mul_montgomery(r, r, val1[wvalue1 >> 1],
|
||
|
mont, ctx))
|
||
|
goto err;
|
||
|
wvalue1 = 0;
|
||
|
r_is_one = 0;
|
||
|
}
|
||
|
|
||
|
if (wvalue2 && b == wpos2) {
|
||
|
/* wvalue2 is odd and < 2^window2 */
|
||
|
if (!BN_mod_mul_montgomery(r, r, val2[wvalue2 >> 1],
|
||
|
mont, ctx))
|
||
|
goto err;
|
||
|
wvalue2 = 0;
|
||
|
r_is_one = 0;
|
||
|
}
|
||
|
}
|
||
|
if (!BN_from_montgomery(rr, r,mont, ctx))
|
||
|
goto err;
|
||
|
ret = 1;
|
||
|
|
||
|
err:
|
||
|
if ((in_mont == NULL) && (mont != NULL))
|
||
|
BN_MONT_CTX_free(mont);
|
||
|
BN_CTX_end(ctx);
|
||
|
bn_check_top(rr);
|
||
|
return (ret);
|
||
|
}
|