1998-12-21 19:00:56 +08:00
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/* crypto/bn/bn_asm.c */
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/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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* All rights reserved.
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*
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* This package is an SSL implementation written
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* by Eric Young (eay@cryptsoft.com).
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* The implementation was written so as to conform with Netscapes SSL.
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*
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* This library is free for commercial and non-commercial use as long as
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* the following conditions are aheared to. The following conditions
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* apply to all code found in this distribution, be it the RC4, RSA,
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* lhash, DES, etc., code; not just the SSL code. The SSL documentation
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* included with this distribution is covered by the same copyright terms
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* except that the holder is Tim Hudson (tjh@cryptsoft.com).
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*
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* Copyright remains Eric Young's, and as such any Copyright notices in
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* the code are not to be removed.
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* If this package is used in a product, Eric Young should be given attribution
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* as the author of the parts of the library used.
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* This can be in the form of a textual message at program startup or
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* in documentation (online or textual) provided with the package.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* 3. All advertising materials mentioning features or use of this software
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* must display the following acknowledgement:
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* "This product includes cryptographic software written by
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* Eric Young (eay@cryptsoft.com)"
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* The word 'cryptographic' can be left out if the rouines from the library
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* being used are not cryptographic related :-).
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* 4. If you include any Windows specific code (or a derivative thereof) from
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* the apps directory (application code) you must include an acknowledgement:
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* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
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*
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* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*
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* The licence and distribution terms for any publically available version or
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* derivative of this code cannot be changed. i.e. this code cannot simply be
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* copied and put under another distribution licence
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* [including the GNU Public Licence.]
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*/
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2000-02-27 06:16:47 +08:00
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#ifndef BN_DEBUG
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# undef NDEBUG /* avoid conflicting definitions */
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# define NDEBUG
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#endif
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1998-12-21 19:00:56 +08:00
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#include <stdio.h>
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2000-02-27 06:16:47 +08:00
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#include <assert.h>
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1998-12-21 19:00:56 +08:00
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#include "cryptlib.h"
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#include "bn_lcl.h"
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2000-02-03 00:18:12 +08:00
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#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
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1998-12-21 19:00:56 +08:00
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULONG c1=0;
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2000-02-27 06:16:47 +08:00
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assert(num >= 0);
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1998-12-21 19:00:56 +08:00
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if (num <= 0) return(c1);
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2000-02-03 00:18:12 +08:00
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while (num&~3)
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1998-12-21 19:00:56 +08:00
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{
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mul_add(rp[0],ap[0],w,c1);
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mul_add(rp[1],ap[1],w,c1);
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mul_add(rp[2],ap[2],w,c1);
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mul_add(rp[3],ap[3],w,c1);
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2000-02-03 00:18:12 +08:00
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ap+=4; rp+=4; num-=4;
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}
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if (num)
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{
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mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
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mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
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mul_add(rp[2],ap[2],w,c1); return c1;
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1998-12-21 19:00:56 +08:00
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}
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return(c1);
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}
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULONG c1=0;
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2000-02-27 06:16:47 +08:00
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assert(num >= 0);
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1998-12-21 19:00:56 +08:00
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if (num <= 0) return(c1);
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2000-02-03 00:18:12 +08:00
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while (num&~3)
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1998-12-21 19:00:56 +08:00
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{
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mul(rp[0],ap[0],w,c1);
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mul(rp[1],ap[1],w,c1);
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mul(rp[2],ap[2],w,c1);
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mul(rp[3],ap[3],w,c1);
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2000-02-03 00:18:12 +08:00
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ap+=4; rp+=4; num-=4;
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}
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if (num)
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{
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mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
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mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
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mul(rp[2],ap[2],w,c1);
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1998-12-21 19:00:56 +08:00
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}
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return(c1);
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}
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1999-04-20 05:31:43 +08:00
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void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
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1998-12-21 19:00:56 +08:00
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{
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2000-02-27 06:16:47 +08:00
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assert(n >= 0);
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1998-12-21 19:00:56 +08:00
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if (n <= 0) return;
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2000-02-03 00:18:12 +08:00
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while (n&~3)
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1998-12-21 19:00:56 +08:00
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{
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2000-02-03 00:18:12 +08:00
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sqr(r[0],r[1],a[0]);
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sqr(r[2],r[3],a[1]);
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sqr(r[4],r[5],a[2]);
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sqr(r[6],r[7],a[3]);
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a+=4; r+=8; n-=4;
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}
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if (n)
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{
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sqr(r[0],r[1],a[0]); if (--n == 0) return;
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sqr(r[2],r[3],a[1]); if (--n == 0) return;
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sqr(r[4],r[5],a[2]);
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1998-12-21 19:00:56 +08:00
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}
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}
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2000-02-27 06:16:47 +08:00
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#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
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1998-12-21 19:00:56 +08:00
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULONG c=0;
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BN_ULONG bl,bh;
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2000-02-27 06:16:47 +08:00
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assert(num >= 0);
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1998-12-21 19:00:56 +08:00
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if (num <= 0) return((BN_ULONG)0);
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bl=LBITS(w);
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bh=HBITS(w);
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for (;;)
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{
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mul_add(rp[0],ap[0],bl,bh,c);
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if (--num == 0) break;
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mul_add(rp[1],ap[1],bl,bh,c);
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if (--num == 0) break;
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mul_add(rp[2],ap[2],bl,bh,c);
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if (--num == 0) break;
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mul_add(rp[3],ap[3],bl,bh,c);
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if (--num == 0) break;
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ap+=4;
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rp+=4;
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}
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return(c);
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}
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULONG carry=0;
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BN_ULONG bl,bh;
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2000-02-27 06:16:47 +08:00
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assert(num >= 0);
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1998-12-21 19:00:56 +08:00
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if (num <= 0) return((BN_ULONG)0);
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bl=LBITS(w);
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bh=HBITS(w);
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for (;;)
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{
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mul(rp[0],ap[0],bl,bh,carry);
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if (--num == 0) break;
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mul(rp[1],ap[1],bl,bh,carry);
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if (--num == 0) break;
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mul(rp[2],ap[2],bl,bh,carry);
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if (--num == 0) break;
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mul(rp[3],ap[3],bl,bh,carry);
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if (--num == 0) break;
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ap+=4;
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rp+=4;
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}
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return(carry);
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}
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1999-04-20 05:31:43 +08:00
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void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
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1998-12-21 19:00:56 +08:00
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{
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2000-02-28 00:56:48 +08:00
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assert(n >= 0);
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1998-12-21 19:00:56 +08:00
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if (n <= 0) return;
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for (;;)
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{
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sqr64(r[0],r[1],a[0]);
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if (--n == 0) break;
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sqr64(r[2],r[3],a[1]);
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if (--n == 0) break;
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sqr64(r[4],r[5],a[2]);
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if (--n == 0) break;
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sqr64(r[6],r[7],a[3]);
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if (--n == 0) break;
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a+=4;
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r+=8;
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}
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}
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2000-02-27 06:16:47 +08:00
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#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
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1998-12-21 19:00:56 +08:00
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#if defined(BN_LLONG) && defined(BN_DIV2W)
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
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1998-12-21 19:00:56 +08:00
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{
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return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
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}
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#else
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/* Divide h-l by d and return the result. */
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/* I need to test this some more :-( */
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULONG dh,dl,q,ret=0,th,tl,t;
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int i,count=2;
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if (d == 0) return(BN_MASK2);
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i=BN_num_bits_word(d);
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if ((i != BN_BITS2) && (h > (BN_ULONG)1<<i))
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{
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#if !defined(NO_STDIO) && !defined(WIN16)
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fprintf(stderr,"Division would overflow (%d)\n",i);
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#endif
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abort();
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}
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i=BN_BITS2-i;
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if (h >= d) h-=d;
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if (i)
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{
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d<<=i;
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h=(h<<i)|(l>>(BN_BITS2-i));
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l<<=i;
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}
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dh=(d&BN_MASK2h)>>BN_BITS4;
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dl=(d&BN_MASK2l);
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for (;;)
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{
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if ((h>>BN_BITS4) == dh)
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q=BN_MASK2l;
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else
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q=h/dh;
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1999-07-30 19:43:43 +08:00
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th=q*dh;
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tl=dl*q;
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1998-12-21 19:00:56 +08:00
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for (;;)
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{
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1999-07-30 19:43:43 +08:00
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t=h-th;
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1998-12-21 19:00:56 +08:00
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if ((t&BN_MASK2h) ||
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1999-07-30 19:43:43 +08:00
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((tl) <= (
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1999-07-21 21:53:01 +08:00
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(t<<BN_BITS4)|
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1998-12-21 19:00:56 +08:00
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((l&BN_MASK2h)>>BN_BITS4))))
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break;
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q--;
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1999-07-30 19:43:43 +08:00
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th-=dh;
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tl-=dl;
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1998-12-21 19:00:56 +08:00
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}
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t=(tl>>BN_BITS4);
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tl=(tl<<BN_BITS4)&BN_MASK2h;
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th+=t;
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if (l < tl) th++;
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l-=tl;
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if (h < th)
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{
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h+=d;
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q--;
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}
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h-=th;
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if (--count == 0) break;
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ret=q<<BN_BITS4;
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h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
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l=(l&BN_MASK2l)<<BN_BITS4;
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}
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ret|=q;
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return(ret);
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}
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2000-02-27 06:16:47 +08:00
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#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
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1998-12-21 19:00:56 +08:00
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#ifdef BN_LLONG
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1999-04-20 05:31:43 +08:00
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BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
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1998-12-21 19:00:56 +08:00
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{
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BN_ULLONG ll=0;
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2000-02-27 06:16:47 +08:00
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assert(n >= 0);
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1998-12-21 19:00:56 +08:00
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if (n <= 0) return((BN_ULONG)0);
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for (;;)
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{
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ll+=(BN_ULLONG)a[0]+b[0];
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r[0]=(BN_ULONG)ll&BN_MASK2;
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ll>>=BN_BITS2;
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if (--n <= 0) break;
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|
ll+=(BN_ULLONG)a[1]+b[1];
|
|
|
|
r[1]=(BN_ULONG)ll&BN_MASK2;
|
|
|
|
ll>>=BN_BITS2;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
ll+=(BN_ULLONG)a[2]+b[2];
|
|
|
|
r[2]=(BN_ULONG)ll&BN_MASK2;
|
|
|
|
ll>>=BN_BITS2;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
ll+=(BN_ULLONG)a[3]+b[3];
|
|
|
|
r[3]=(BN_ULONG)ll&BN_MASK2;
|
|
|
|
ll>>=BN_BITS2;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
a+=4;
|
|
|
|
b+=4;
|
|
|
|
r+=4;
|
|
|
|
}
|
|
|
|
return((BN_ULONG)ll);
|
|
|
|
}
|
2000-02-27 06:16:47 +08:00
|
|
|
#else /* !BN_LLONG */
|
1999-04-20 05:31:43 +08:00
|
|
|
BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
BN_ULONG c,l,t;
|
|
|
|
|
2000-02-27 06:16:47 +08:00
|
|
|
assert(n >= 0);
|
1998-12-21 19:00:56 +08:00
|
|
|
if (n <= 0) return((BN_ULONG)0);
|
|
|
|
|
|
|
|
c=0;
|
|
|
|
for (;;)
|
|
|
|
{
|
|
|
|
t=a[0];
|
|
|
|
t=(t+c)&BN_MASK2;
|
|
|
|
c=(t < c);
|
|
|
|
l=(t+b[0])&BN_MASK2;
|
|
|
|
c+=(l < t);
|
|
|
|
r[0]=l;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t=a[1];
|
|
|
|
t=(t+c)&BN_MASK2;
|
|
|
|
c=(t < c);
|
|
|
|
l=(t+b[1])&BN_MASK2;
|
|
|
|
c+=(l < t);
|
|
|
|
r[1]=l;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t=a[2];
|
|
|
|
t=(t+c)&BN_MASK2;
|
|
|
|
c=(t < c);
|
|
|
|
l=(t+b[2])&BN_MASK2;
|
|
|
|
c+=(l < t);
|
|
|
|
r[2]=l;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t=a[3];
|
|
|
|
t=(t+c)&BN_MASK2;
|
|
|
|
c=(t < c);
|
|
|
|
l=(t+b[3])&BN_MASK2;
|
|
|
|
c+=(l < t);
|
|
|
|
r[3]=l;
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
a+=4;
|
|
|
|
b+=4;
|
|
|
|
r+=4;
|
|
|
|
}
|
|
|
|
return((BN_ULONG)c);
|
|
|
|
}
|
2000-02-27 06:16:47 +08:00
|
|
|
#endif /* !BN_LLONG */
|
1998-12-21 19:00:56 +08:00
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
BN_ULONG t1,t2;
|
|
|
|
int c=0;
|
|
|
|
|
2000-02-27 06:16:47 +08:00
|
|
|
assert(n >= 0);
|
1998-12-21 19:00:56 +08:00
|
|
|
if (n <= 0) return((BN_ULONG)0);
|
|
|
|
|
|
|
|
for (;;)
|
|
|
|
{
|
|
|
|
t1=a[0]; t2=b[0];
|
|
|
|
r[0]=(t1-t2-c)&BN_MASK2;
|
|
|
|
if (t1 != t2) c=(t1 < t2);
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t1=a[1]; t2=b[1];
|
|
|
|
r[1]=(t1-t2-c)&BN_MASK2;
|
|
|
|
if (t1 != t2) c=(t1 < t2);
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t1=a[2]; t2=b[2];
|
|
|
|
r[2]=(t1-t2-c)&BN_MASK2;
|
|
|
|
if (t1 != t2) c=(t1 < t2);
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
t1=a[3]; t2=b[3];
|
|
|
|
r[3]=(t1-t2-c)&BN_MASK2;
|
|
|
|
if (t1 != t2) c=(t1 < t2);
|
|
|
|
if (--n <= 0) break;
|
|
|
|
|
|
|
|
a+=4;
|
|
|
|
b+=4;
|
|
|
|
r+=4;
|
|
|
|
}
|
|
|
|
return(c);
|
|
|
|
}
|
|
|
|
|
1999-01-28 18:40:38 +08:00
|
|
|
#ifdef BN_MUL_COMBA
|
1998-12-21 19:00:56 +08:00
|
|
|
|
|
|
|
#undef bn_mul_comba8
|
|
|
|
#undef bn_mul_comba4
|
|
|
|
#undef bn_sqr_comba8
|
|
|
|
#undef bn_sqr_comba4
|
|
|
|
|
2000-02-27 06:16:47 +08:00
|
|
|
/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
|
|
|
|
/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
|
|
|
|
/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
|
|
|
|
/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
|
|
|
|
|
1998-12-21 19:00:56 +08:00
|
|
|
#ifdef BN_LLONG
|
|
|
|
#define mul_add_c(a,b,c0,c1,c2) \
|
|
|
|
t=(BN_ULLONG)a*b; \
|
|
|
|
t1=(BN_ULONG)Lw(t); \
|
|
|
|
t2=(BN_ULONG)Hw(t); \
|
|
|
|
c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define mul_add_c2(a,b,c0,c1,c2) \
|
|
|
|
t=(BN_ULLONG)a*b; \
|
|
|
|
tt=(t+t)&BN_MASK; \
|
|
|
|
if (tt < t) c2++; \
|
|
|
|
t1=(BN_ULONG)Lw(tt); \
|
|
|
|
t2=(BN_ULONG)Hw(tt); \
|
|
|
|
c0=(c0+t1)&BN_MASK2; \
|
|
|
|
if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define sqr_add_c(a,i,c0,c1,c2) \
|
|
|
|
t=(BN_ULLONG)a[i]*a[i]; \
|
|
|
|
t1=(BN_ULONG)Lw(t); \
|
|
|
|
t2=(BN_ULONG)Hw(t); \
|
|
|
|
c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define sqr_add_c2(a,i,j,c0,c1,c2) \
|
|
|
|
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
|
2000-02-03 00:18:12 +08:00
|
|
|
|
|
|
|
#elif defined(BN_UMULT_HIGH)
|
|
|
|
|
|
|
|
#define mul_add_c(a,b,c0,c1,c2) { \
|
|
|
|
BN_ULONG ta=(a),tb=(b); \
|
|
|
|
t1 = ta * tb; \
|
|
|
|
t2 = BN_UMULT_HIGH(ta,tb); \
|
|
|
|
c0 += t1; t2 += (c0<t1)?1:0; \
|
|
|
|
c1 += t2; c2 += (c1<t2)?1:0; \
|
|
|
|
}
|
|
|
|
|
|
|
|
#define mul_add_c2(a,b,c0,c1,c2) { \
|
|
|
|
BN_ULONG ta=(a),tb=(b),t0; \
|
|
|
|
t1 = BN_UMULT_HIGH(ta,tb); \
|
|
|
|
t0 = ta * tb; \
|
|
|
|
t2 = t1+t1; c2 += (t2<t1)?1:0; \
|
|
|
|
t1 = t0+t0; t2 += (t1<t0)?1:0; \
|
|
|
|
c0 += t1; t2 += (c0<t1)?1:0; \
|
|
|
|
c1 += t2; c2 += (c1<t2)?1:0; \
|
|
|
|
}
|
|
|
|
|
|
|
|
#define sqr_add_c(a,i,c0,c1,c2) { \
|
|
|
|
BN_ULONG ta=(a)[i]; \
|
|
|
|
t1 = ta * ta; \
|
|
|
|
t2 = BN_UMULT_HIGH(ta,ta); \
|
|
|
|
c0 += t1; t2 += (c0<t1)?1:0; \
|
|
|
|
c1 += t2; c2 += (c1<t2)?1:0; \
|
|
|
|
}
|
|
|
|
|
|
|
|
#define sqr_add_c2(a,i,j,c0,c1,c2) \
|
|
|
|
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
|
|
|
|
|
2000-02-27 06:16:47 +08:00
|
|
|
#else /* !BN_LLONG */
|
1998-12-21 19:00:56 +08:00
|
|
|
#define mul_add_c(a,b,c0,c1,c2) \
|
|
|
|
t1=LBITS(a); t2=HBITS(a); \
|
|
|
|
bl=LBITS(b); bh=HBITS(b); \
|
|
|
|
mul64(t1,t2,bl,bh); \
|
|
|
|
c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define mul_add_c2(a,b,c0,c1,c2) \
|
|
|
|
t1=LBITS(a); t2=HBITS(a); \
|
|
|
|
bl=LBITS(b); bh=HBITS(b); \
|
|
|
|
mul64(t1,t2,bl,bh); \
|
|
|
|
if (t2 & BN_TBIT) c2++; \
|
|
|
|
t2=(t2+t2)&BN_MASK2; \
|
|
|
|
if (t1 & BN_TBIT) t2++; \
|
|
|
|
t1=(t1+t1)&BN_MASK2; \
|
|
|
|
c0=(c0+t1)&BN_MASK2; \
|
|
|
|
if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define sqr_add_c(a,i,c0,c1,c2) \
|
|
|
|
sqr64(t1,t2,(a)[i]); \
|
|
|
|
c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
|
|
|
|
c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
|
|
|
|
|
|
|
|
#define sqr_add_c2(a,i,j,c0,c1,c2) \
|
|
|
|
mul_add_c2((a)[i],(a)[j],c0,c1,c2)
|
2000-02-27 06:16:47 +08:00
|
|
|
#endif /* !BN_LLONG */
|
1998-12-21 19:00:56 +08:00
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
#ifdef BN_LLONG
|
|
|
|
BN_ULLONG t;
|
|
|
|
#else
|
|
|
|
BN_ULONG bl,bh;
|
|
|
|
#endif
|
|
|
|
BN_ULONG t1,t2;
|
|
|
|
BN_ULONG c1,c2,c3;
|
|
|
|
|
|
|
|
c1=0;
|
|
|
|
c2=0;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[0],b[0],c1,c2,c3);
|
|
|
|
r[0]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[0],b[1],c2,c3,c1);
|
|
|
|
mul_add_c(a[1],b[0],c2,c3,c1);
|
|
|
|
r[1]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[2],b[0],c3,c1,c2);
|
|
|
|
mul_add_c(a[1],b[1],c3,c1,c2);
|
|
|
|
mul_add_c(a[0],b[2],c3,c1,c2);
|
|
|
|
r[2]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[0],b[3],c1,c2,c3);
|
|
|
|
mul_add_c(a[1],b[2],c1,c2,c3);
|
|
|
|
mul_add_c(a[2],b[1],c1,c2,c3);
|
|
|
|
mul_add_c(a[3],b[0],c1,c2,c3);
|
|
|
|
r[3]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[4],b[0],c2,c3,c1);
|
|
|
|
mul_add_c(a[3],b[1],c2,c3,c1);
|
|
|
|
mul_add_c(a[2],b[2],c2,c3,c1);
|
|
|
|
mul_add_c(a[1],b[3],c2,c3,c1);
|
|
|
|
mul_add_c(a[0],b[4],c2,c3,c1);
|
|
|
|
r[4]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[0],b[5],c3,c1,c2);
|
|
|
|
mul_add_c(a[1],b[4],c3,c1,c2);
|
|
|
|
mul_add_c(a[2],b[3],c3,c1,c2);
|
|
|
|
mul_add_c(a[3],b[2],c3,c1,c2);
|
|
|
|
mul_add_c(a[4],b[1],c3,c1,c2);
|
|
|
|
mul_add_c(a[5],b[0],c3,c1,c2);
|
|
|
|
r[5]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[6],b[0],c1,c2,c3);
|
|
|
|
mul_add_c(a[5],b[1],c1,c2,c3);
|
|
|
|
mul_add_c(a[4],b[2],c1,c2,c3);
|
|
|
|
mul_add_c(a[3],b[3],c1,c2,c3);
|
|
|
|
mul_add_c(a[2],b[4],c1,c2,c3);
|
|
|
|
mul_add_c(a[1],b[5],c1,c2,c3);
|
|
|
|
mul_add_c(a[0],b[6],c1,c2,c3);
|
|
|
|
r[6]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[0],b[7],c2,c3,c1);
|
|
|
|
mul_add_c(a[1],b[6],c2,c3,c1);
|
|
|
|
mul_add_c(a[2],b[5],c2,c3,c1);
|
|
|
|
mul_add_c(a[3],b[4],c2,c3,c1);
|
|
|
|
mul_add_c(a[4],b[3],c2,c3,c1);
|
|
|
|
mul_add_c(a[5],b[2],c2,c3,c1);
|
|
|
|
mul_add_c(a[6],b[1],c2,c3,c1);
|
|
|
|
mul_add_c(a[7],b[0],c2,c3,c1);
|
|
|
|
r[7]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[7],b[1],c3,c1,c2);
|
|
|
|
mul_add_c(a[6],b[2],c3,c1,c2);
|
|
|
|
mul_add_c(a[5],b[3],c3,c1,c2);
|
|
|
|
mul_add_c(a[4],b[4],c3,c1,c2);
|
|
|
|
mul_add_c(a[3],b[5],c3,c1,c2);
|
|
|
|
mul_add_c(a[2],b[6],c3,c1,c2);
|
|
|
|
mul_add_c(a[1],b[7],c3,c1,c2);
|
|
|
|
r[8]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[2],b[7],c1,c2,c3);
|
|
|
|
mul_add_c(a[3],b[6],c1,c2,c3);
|
|
|
|
mul_add_c(a[4],b[5],c1,c2,c3);
|
|
|
|
mul_add_c(a[5],b[4],c1,c2,c3);
|
|
|
|
mul_add_c(a[6],b[3],c1,c2,c3);
|
|
|
|
mul_add_c(a[7],b[2],c1,c2,c3);
|
|
|
|
r[9]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[7],b[3],c2,c3,c1);
|
|
|
|
mul_add_c(a[6],b[4],c2,c3,c1);
|
|
|
|
mul_add_c(a[5],b[5],c2,c3,c1);
|
|
|
|
mul_add_c(a[4],b[6],c2,c3,c1);
|
|
|
|
mul_add_c(a[3],b[7],c2,c3,c1);
|
|
|
|
r[10]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[4],b[7],c3,c1,c2);
|
|
|
|
mul_add_c(a[5],b[6],c3,c1,c2);
|
|
|
|
mul_add_c(a[6],b[5],c3,c1,c2);
|
|
|
|
mul_add_c(a[7],b[4],c3,c1,c2);
|
|
|
|
r[11]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[7],b[5],c1,c2,c3);
|
|
|
|
mul_add_c(a[6],b[6],c1,c2,c3);
|
|
|
|
mul_add_c(a[5],b[7],c1,c2,c3);
|
|
|
|
r[12]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[6],b[7],c2,c3,c1);
|
|
|
|
mul_add_c(a[7],b[6],c2,c3,c1);
|
|
|
|
r[13]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[7],b[7],c3,c1,c2);
|
|
|
|
r[14]=c3;
|
|
|
|
r[15]=c1;
|
|
|
|
}
|
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
#ifdef BN_LLONG
|
|
|
|
BN_ULLONG t;
|
|
|
|
#else
|
|
|
|
BN_ULONG bl,bh;
|
|
|
|
#endif
|
|
|
|
BN_ULONG t1,t2;
|
|
|
|
BN_ULONG c1,c2,c3;
|
|
|
|
|
|
|
|
c1=0;
|
|
|
|
c2=0;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[0],b[0],c1,c2,c3);
|
|
|
|
r[0]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[0],b[1],c2,c3,c1);
|
|
|
|
mul_add_c(a[1],b[0],c2,c3,c1);
|
|
|
|
r[1]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[2],b[0],c3,c1,c2);
|
|
|
|
mul_add_c(a[1],b[1],c3,c1,c2);
|
|
|
|
mul_add_c(a[0],b[2],c3,c1,c2);
|
|
|
|
r[2]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[0],b[3],c1,c2,c3);
|
|
|
|
mul_add_c(a[1],b[2],c1,c2,c3);
|
|
|
|
mul_add_c(a[2],b[1],c1,c2,c3);
|
|
|
|
mul_add_c(a[3],b[0],c1,c2,c3);
|
|
|
|
r[3]=c1;
|
|
|
|
c1=0;
|
|
|
|
mul_add_c(a[3],b[1],c2,c3,c1);
|
|
|
|
mul_add_c(a[2],b[2],c2,c3,c1);
|
|
|
|
mul_add_c(a[1],b[3],c2,c3,c1);
|
|
|
|
r[4]=c2;
|
|
|
|
c2=0;
|
|
|
|
mul_add_c(a[2],b[3],c3,c1,c2);
|
|
|
|
mul_add_c(a[3],b[2],c3,c1,c2);
|
|
|
|
r[5]=c3;
|
|
|
|
c3=0;
|
|
|
|
mul_add_c(a[3],b[3],c1,c2,c3);
|
|
|
|
r[6]=c1;
|
|
|
|
r[7]=c2;
|
|
|
|
}
|
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
#ifdef BN_LLONG
|
|
|
|
BN_ULLONG t,tt;
|
|
|
|
#else
|
|
|
|
BN_ULONG bl,bh;
|
|
|
|
#endif
|
|
|
|
BN_ULONG t1,t2;
|
|
|
|
BN_ULONG c1,c2,c3;
|
|
|
|
|
|
|
|
c1=0;
|
|
|
|
c2=0;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c(a,0,c1,c2,c3);
|
|
|
|
r[0]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c2(a,1,0,c2,c3,c1);
|
|
|
|
r[1]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c(a,1,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,2,0,c3,c1,c2);
|
|
|
|
r[2]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c2(a,3,0,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,2,1,c1,c2,c3);
|
|
|
|
r[3]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c(a,2,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,3,1,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,4,0,c2,c3,c1);
|
|
|
|
r[4]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c2(a,5,0,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,4,1,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,3,2,c3,c1,c2);
|
|
|
|
r[5]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c(a,3,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,4,2,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,5,1,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,6,0,c1,c2,c3);
|
|
|
|
r[6]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c2(a,7,0,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,6,1,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,5,2,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,4,3,c2,c3,c1);
|
|
|
|
r[7]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c(a,4,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,5,3,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,6,2,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,7,1,c3,c1,c2);
|
|
|
|
r[8]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c2(a,7,2,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,6,3,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,5,4,c1,c2,c3);
|
|
|
|
r[9]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c(a,5,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,6,4,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,7,3,c2,c3,c1);
|
|
|
|
r[10]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c2(a,7,4,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,6,5,c3,c1,c2);
|
|
|
|
r[11]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c(a,6,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,7,5,c1,c2,c3);
|
|
|
|
r[12]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c2(a,7,6,c2,c3,c1);
|
|
|
|
r[13]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c(a,7,c3,c1,c2);
|
|
|
|
r[14]=c3;
|
|
|
|
r[15]=c1;
|
|
|
|
}
|
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
#ifdef BN_LLONG
|
|
|
|
BN_ULLONG t,tt;
|
|
|
|
#else
|
|
|
|
BN_ULONG bl,bh;
|
|
|
|
#endif
|
|
|
|
BN_ULONG t1,t2;
|
|
|
|
BN_ULONG c1,c2,c3;
|
|
|
|
|
|
|
|
c1=0;
|
|
|
|
c2=0;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c(a,0,c1,c2,c3);
|
|
|
|
r[0]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c2(a,1,0,c2,c3,c1);
|
|
|
|
r[1]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c(a,1,c3,c1,c2);
|
|
|
|
sqr_add_c2(a,2,0,c3,c1,c2);
|
|
|
|
r[2]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c2(a,3,0,c1,c2,c3);
|
|
|
|
sqr_add_c2(a,2,1,c1,c2,c3);
|
|
|
|
r[3]=c1;
|
|
|
|
c1=0;
|
|
|
|
sqr_add_c(a,2,c2,c3,c1);
|
|
|
|
sqr_add_c2(a,3,1,c2,c3,c1);
|
|
|
|
r[4]=c2;
|
|
|
|
c2=0;
|
|
|
|
sqr_add_c2(a,3,2,c3,c1,c2);
|
|
|
|
r[5]=c3;
|
|
|
|
c3=0;
|
|
|
|
sqr_add_c(a,3,c1,c2,c3);
|
|
|
|
r[6]=c1;
|
|
|
|
r[7]=c2;
|
|
|
|
}
|
2000-02-27 06:16:47 +08:00
|
|
|
#else /* !BN_MUL_COMBA */
|
1998-12-21 19:00:56 +08:00
|
|
|
|
|
|
|
/* hmm... is it faster just to do a multiply? */
|
1999-01-28 18:40:38 +08:00
|
|
|
#undef bn_sqr_comba4
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
BN_ULONG t[8];
|
|
|
|
bn_sqr_normal(r,a,4,t);
|
|
|
|
}
|
|
|
|
|
1999-01-28 18:40:38 +08:00
|
|
|
#undef bn_sqr_comba8
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
BN_ULONG t[16];
|
|
|
|
bn_sqr_normal(r,a,8,t);
|
|
|
|
}
|
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
r[4]=bn_mul_words( &(r[0]),a,4,b[0]);
|
|
|
|
r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]);
|
|
|
|
r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]);
|
|
|
|
r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]);
|
|
|
|
}
|
|
|
|
|
1999-04-20 05:31:43 +08:00
|
|
|
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
|
1998-12-21 19:00:56 +08:00
|
|
|
{
|
|
|
|
r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
|
|
|
|
r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
|
|
|
|
r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
|
|
|
|
r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
|
|
|
|
r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
|
|
|
|
r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
|
|
|
|
r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
|
|
|
|
r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
|
|
|
|
}
|
|
|
|
|
2000-02-27 06:16:47 +08:00
|
|
|
#endif /* !BN_MUL_COMBA */
|