ssl/libcrypto/src/crypto/bn/bn_exp2.c
changeset 31 ce057bb09d0b
parent 0 e4d67989cc36
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/ssl/libcrypto/src/crypto/bn/bn_exp2.c	Fri Jun 04 16:20:51 2010 +0100
@@ -0,0 +1,311 @@
+/* crypto/bn/bn_exp2.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) 1998-2000 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 "cryptlib.h"
+#include "bn_lcl.h"
+
+#define TABLE_SIZE	32
+
+EXPORT_C 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))
+		{
+		BNerr(BN_F_BN_MOD_EXP2_MONT,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);
+	d = BN_CTX_get(ctx);
+	r = BN_CTX_get(ctx);
+	val1[0] = BN_CTX_get(ctx);
+	val2[0] = BN_CTX_get(ctx);
+	if(!d || !r || !val1[0] || !val2[0]) 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(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(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;
+			}
+		}
+	BN_from_montgomery(rr,r,mont,ctx);
+	ret=1;
+err:
+	if ((in_mont == NULL) && (mont != NULL)) BN_MONT_CTX_free(mont);
+	BN_CTX_end(ctx);
+	bn_check_top(rr);
+	return(ret);
+	}