-/* crypto/bn/bn_asm.c */
-/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
- * All rights reserved.
+/*
+ * Copyright 1995-2016 The OpenSSL Project Authors. 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.]
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
-#ifndef BN_DEBUG
-# undef NDEBUG /* avoid conflicting definitions */
-# define NDEBUG
-#endif
-
-#include <stdio.h>
#include <assert.h>
-#include "cryptlib.h"
+#include <openssl/crypto.h>
+#include "internal/cryptlib.h"
#include "bn_lcl.h"
#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- assert(num >= 0);
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul_add(rp[0],ap[0],w,c1);
- mul_add(rp[1],ap[1],w,c1);
- mul_add(rp[2],ap[2],w,c1);
- mul_add(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
- mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
- mul_add(rp[2],ap[2],w,c1); return c1;
- }
-
- return(c1);
- }
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w)
+{
+ BN_ULONG c1 = 0;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return (c1);
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num & ~3) {
+ mul_add(rp[0], ap[0], w, c1);
+ mul_add(rp[1], ap[1], w, c1);
+ mul_add(rp[2], ap[2], w, c1);
+ mul_add(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+# endif
+ while (num) {
+ mul_add(rp[0], ap[0], w, c1);
+ ap++;
+ rp++;
+ num--;
+ }
+
+ return (c1);
+}
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c1=0;
-
- assert(num >= 0);
- if (num <= 0) return(c1);
-
- while (num&~3)
- {
- mul(rp[0],ap[0],w,c1);
- mul(rp[1],ap[1],w,c1);
- mul(rp[2],ap[2],w,c1);
- mul(rp[3],ap[3],w,c1);
- ap+=4; rp+=4; num-=4;
- }
- if (num)
- {
- mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
- mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
- mul(rp[2],ap[2],w,c1);
- }
- return(c1);
- }
+{
+ BN_ULONG c1 = 0;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return (c1);
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num & ~3) {
+ mul(rp[0], ap[0], w, c1);
+ mul(rp[1], ap[1], w, c1);
+ mul(rp[2], ap[2], w, c1);
+ mul(rp[3], ap[3], w, c1);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+# endif
+ while (num) {
+ mul(rp[0], ap[0], w, c1);
+ ap++;
+ rp++;
+ num--;
+ }
+ return (c1);
+}
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
- {
- assert(n >= 0);
- if (n <= 0) return;
- while (n&~3)
- {
- sqr(r[0],r[1],a[0]);
- sqr(r[2],r[3],a[1]);
- sqr(r[4],r[5],a[2]);
- sqr(r[6],r[7],a[3]);
- a+=4; r+=8; n-=4;
- }
- if (n)
- {
- sqr(r[0],r[1],a[0]); if (--n == 0) return;
- sqr(r[2],r[3],a[1]); if (--n == 0) return;
- sqr(r[4],r[5],a[2]);
- }
- }
-
-#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG c=0;
- BN_ULONG bl,bh;
-
- assert(num >= 0);
- if (num <= 0) return((BN_ULONG)0);
-
- bl=LBITS(w);
- bh=HBITS(w);
-
- for (;;)
- {
- mul_add(rp[0],ap[0],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[1],ap[1],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[2],ap[2],bl,bh,c);
- if (--num == 0) break;
- mul_add(rp[3],ap[3],bl,bh,c);
- if (--num == 0) break;
- ap+=4;
- rp+=4;
- }
- return(c);
- }
+{
+ assert(n >= 0);
+ if (n <= 0)
+ return;
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n & ~3) {
+ sqr(r[0], r[1], a[0]);
+ sqr(r[2], r[3], a[1]);
+ sqr(r[4], r[5], a[2]);
+ sqr(r[6], r[7], a[3]);
+ a += 4;
+ r += 8;
+ n -= 4;
+ }
+# endif
+ while (n) {
+ sqr(r[0], r[1], a[0]);
+ a++;
+ r += 2;
+ n--;
+ }
+}
+
+#else /* !(defined(BN_LLONG) ||
+ * defined(BN_UMULT_HIGH)) */
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+ BN_ULONG w)
+{
+ BN_ULONG c = 0;
+ BN_ULONG bl, bh;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return ((BN_ULONG)0);
+
+ bl = LBITS(w);
+ bh = HBITS(w);
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num & ~3) {
+ mul_add(rp[0], ap[0], bl, bh, c);
+ mul_add(rp[1], ap[1], bl, bh, c);
+ mul_add(rp[2], ap[2], bl, bh, c);
+ mul_add(rp[3], ap[3], bl, bh, c);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+# endif
+ while (num) {
+ mul_add(rp[0], ap[0], bl, bh, c);
+ ap++;
+ rp++;
+ num--;
+ }
+ return (c);
+}
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
- {
- BN_ULONG carry=0;
- BN_ULONG bl,bh;
-
- assert(num >= 0);
- if (num <= 0) return((BN_ULONG)0);
-
- bl=LBITS(w);
- bh=HBITS(w);
-
- for (;;)
- {
- mul(rp[0],ap[0],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[1],ap[1],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[2],ap[2],bl,bh,carry);
- if (--num == 0) break;
- mul(rp[3],ap[3],bl,bh,carry);
- if (--num == 0) break;
- ap+=4;
- rp+=4;
- }
- return(carry);
- }
+{
+ BN_ULONG carry = 0;
+ BN_ULONG bl, bh;
+
+ assert(num >= 0);
+ if (num <= 0)
+ return ((BN_ULONG)0);
+
+ bl = LBITS(w);
+ bh = HBITS(w);
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (num & ~3) {
+ mul(rp[0], ap[0], bl, bh, carry);
+ mul(rp[1], ap[1], bl, bh, carry);
+ mul(rp[2], ap[2], bl, bh, carry);
+ mul(rp[3], ap[3], bl, bh, carry);
+ ap += 4;
+ rp += 4;
+ num -= 4;
+ }
+# endif
+ while (num) {
+ mul(rp[0], ap[0], bl, bh, carry);
+ ap++;
+ rp++;
+ num--;
+ }
+ return (carry);
+}
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
- {
- assert(n >= 0);
- if (n <= 0) return;
- for (;;)
- {
- sqr64(r[0],r[1],a[0]);
- if (--n == 0) break;
-
- sqr64(r[2],r[3],a[1]);
- if (--n == 0) break;
-
- sqr64(r[4],r[5],a[2]);
- if (--n == 0) break;
-
- sqr64(r[6],r[7],a[3]);
- if (--n == 0) break;
-
- a+=4;
- r+=8;
- }
- }
-
-#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
+{
+ assert(n >= 0);
+ if (n <= 0)
+ return;
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n & ~3) {
+ sqr64(r[0], r[1], a[0]);
+ sqr64(r[2], r[3], a[1]);
+ sqr64(r[4], r[5], a[2]);
+ sqr64(r[6], r[7], a[3]);
+ a += 4;
+ r += 8;
+ n -= 4;
+ }
+# endif
+ while (n) {
+ sqr64(r[0], r[1], a[0]);
+ a++;
+ r += 2;
+ n--;
+ }
+}
+
+#endif /* !(defined(BN_LLONG) ||
+ * defined(BN_UMULT_HIGH)) */
#if defined(BN_LLONG) && defined(BN_DIV2W)
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
- {
- return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
- }
+{
+ return ((BN_ULONG)(((((BN_ULLONG) h) << BN_BITS2) | l) / (BN_ULLONG) d));
+}
#else
/* Divide h,l by d and return the result. */
/* I need to test this some more :-( */
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
- {
- BN_ULONG dh,dl,q,ret=0,th,tl,t;
- int i,count=2;
-
- if (d == 0) return(BN_MASK2);
-
- i=BN_num_bits_word(d);
- assert((i == BN_BITS2) || (h > (BN_ULONG)1<<i));
-
- i=BN_BITS2-i;
- if (h >= d) h-=d;
-
- if (i)
- {
- d<<=i;
- h=(h<<i)|(l>>(BN_BITS2-i));
- l<<=i;
- }
- dh=(d&BN_MASK2h)>>BN_BITS4;
- dl=(d&BN_MASK2l);
- for (;;)
- {
- if ((h>>BN_BITS4) == dh)
- q=BN_MASK2l;
- else
- q=h/dh;
-
- th=q*dh;
- tl=dl*q;
- for (;;)
- {
- t=h-th;
- if ((t&BN_MASK2h) ||
- ((tl) <= (
- (t<<BN_BITS4)|
- ((l&BN_MASK2h)>>BN_BITS4))))
- break;
- q--;
- th-=dh;
- tl-=dl;
- }
- t=(tl>>BN_BITS4);
- tl=(tl<<BN_BITS4)&BN_MASK2h;
- th+=t;
-
- if (l < tl) th++;
- l-=tl;
- if (h < th)
- {
- h+=d;
- q--;
- }
- h-=th;
-
- if (--count == 0) break;
-
- ret=q<<BN_BITS4;
- h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
- l=(l&BN_MASK2l)<<BN_BITS4;
- }
- ret|=q;
- return(ret);
- }
-#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
+{
+ BN_ULONG dh, dl, q, ret = 0, th, tl, t;
+ int i, count = 2;
+
+ if (d == 0)
+ return (BN_MASK2);
+
+ i = BN_num_bits_word(d);
+ assert((i == BN_BITS2) || (h <= (BN_ULONG)1 << i));
+
+ i = BN_BITS2 - i;
+ if (h >= d)
+ h -= d;
+
+ if (i) {
+ d <<= i;
+ h = (h << i) | (l >> (BN_BITS2 - i));
+ l <<= i;
+ }
+ dh = (d & BN_MASK2h) >> BN_BITS4;
+ dl = (d & BN_MASK2l);
+ for (;;) {
+ if ((h >> BN_BITS4) == dh)
+ q = BN_MASK2l;
+ else
+ q = h / dh;
+
+ th = q * dh;
+ tl = dl * q;
+ for (;;) {
+ t = h - th;
+ if ((t & BN_MASK2h) ||
+ ((tl) <= ((t << BN_BITS4) | ((l & BN_MASK2h) >> BN_BITS4))))
+ break;
+ q--;
+ th -= dh;
+ tl -= dl;
+ }
+ t = (tl >> BN_BITS4);
+ tl = (tl << BN_BITS4) & BN_MASK2h;
+ th += t;
+
+ if (l < tl)
+ th++;
+ l -= tl;
+ if (h < th) {
+ h += d;
+ q--;
+ }
+ h -= th;
+
+ if (--count == 0)
+ break;
+
+ ret = q << BN_BITS4;
+ h = ((h << BN_BITS4) | (l >> BN_BITS4)) & BN_MASK2;
+ l = (l & BN_MASK2l) << BN_BITS4;
+ }
+ ret |= q;
+ return (ret);
+}
+#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
#ifdef BN_LLONG
-BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULLONG ll=0;
-
- assert(n >= 0);
- if (n <= 0) return((BN_ULONG)0);
-
- for (;;)
- {
- ll+=(BN_ULLONG)a[0]+b[0];
- r[0]=(BN_ULONG)ll&BN_MASK2;
- ll>>=BN_BITS2;
- if (--n <= 0) break;
-
- 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);
- }
-#else /* !BN_LLONG */
-BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULONG c,l,t;
-
- assert(n >= 0);
- 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);
- }
-#endif /* !BN_LLONG */
-
-BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
- {
- BN_ULONG t1,t2;
- int c=0;
-
- assert(n >= 0);
- 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);
- }
-
-#ifdef BN_MUL_COMBA
-
-#undef bn_mul_comba8
-#undef bn_mul_comba4
-#undef bn_sqr_comba8
-#undef bn_sqr_comba4
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULLONG ll = 0;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n & ~3) {
+ ll += (BN_ULLONG) a[0] + b[0];
+ r[0] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ ll += (BN_ULLONG) a[1] + b[1];
+ r[1] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ ll += (BN_ULLONG) a[2] + b[2];
+ r[2] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ ll += (BN_ULLONG) a[3] + b[3];
+ r[3] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ a += 4;
+ b += 4;
+ r += 4;
+ n -= 4;
+ }
+# endif
+ while (n) {
+ ll += (BN_ULLONG) a[0] + b[0];
+ r[0] = (BN_ULONG)ll & BN_MASK2;
+ ll >>= BN_BITS2;
+ a++;
+ b++;
+ r++;
+ n--;
+ }
+ return ((BN_ULONG)ll);
+}
+#else /* !BN_LLONG */
+BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULONG c, l, t;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+ c = 0;
+# ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n & ~3) {
+ t = a[0];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[0]) & BN_MASK2;
+ c += (l < t);
+ r[0] = l;
+ t = a[1];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[1]) & BN_MASK2;
+ c += (l < t);
+ r[1] = l;
+ t = a[2];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[2]) & BN_MASK2;
+ c += (l < t);
+ r[2] = l;
+ t = a[3];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[3]) & BN_MASK2;
+ c += (l < t);
+ r[3] = l;
+ a += 4;
+ b += 4;
+ r += 4;
+ n -= 4;
+ }
+# endif
+ while (n) {
+ t = a[0];
+ t = (t + c) & BN_MASK2;
+ c = (t < c);
+ l = (t + b[0]) & BN_MASK2;
+ c += (l < t);
+ r[0] = l;
+ a++;
+ b++;
+ r++;
+ n--;
+ }
+ return ((BN_ULONG)c);
+}
+#endif /* !BN_LLONG */
+
+BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b,
+ int n)
+{
+ BN_ULONG t1, t2;
+ int c = 0;
+
+ assert(n >= 0);
+ if (n <= 0)
+ return ((BN_ULONG)0);
+
+#ifndef OPENSSL_SMALL_FOOTPRINT
+ while (n & ~3) {
+ t1 = a[0];
+ t2 = b[0];
+ r[0] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ t1 = a[1];
+ t2 = b[1];
+ r[1] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ t1 = a[2];
+ t2 = b[2];
+ r[2] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ t1 = a[3];
+ t2 = b[3];
+ r[3] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ a += 4;
+ b += 4;
+ r += 4;
+ n -= 4;
+ }
+#endif
+ while (n) {
+ t1 = a[0];
+ t2 = b[0];
+ r[0] = (t1 - t2 - c) & BN_MASK2;
+ if (t1 != t2)
+ c = (t1 < t2);
+ a++;
+ b++;
+ r++;
+ n--;
+ }
+ return (c);
+}
+
+#if defined(BN_MUL_COMBA) && !defined(OPENSSL_SMALL_FOOTPRINT)
+
+# undef bn_mul_comba8
+# undef bn_mul_comba4
+# undef bn_sqr_comba8
+# undef bn_sqr_comba4
/* 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) */
+/*
+ * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
+ * c=(c2,c1,c0)
+ */
-#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)
-
-#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)
-
-#else /* !BN_LLONG */
-#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)
-#endif /* !BN_LLONG */
+# ifdef BN_LLONG
+/*
+ * Keep in mind that additions to multiplication result can not
+ * overflow, because its high half cannot be all-ones.
+ */
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)(a)*(b); \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)(a)*(b); \
+ BN_ULLONG tt = t+c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(tt); \
+ hi = (BN_ULONG)Hw(tt); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG hi; \
+ BN_ULLONG t = (BN_ULLONG)a[i]*a[i]; \
+ t += c0; /* no carry */ \
+ c0 = (BN_ULONG)Lw(t); \
+ hi = (BN_ULONG)Hw(t); \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# elif defined(BN_UMULT_LOHI)
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo, hi, tt; \
+ BN_UMULT_LOHI(lo,hi,ta,tb); \
+ c0 += lo; tt = hi+((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo, hi; \
+ BN_UMULT_LOHI(lo,hi,ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# elif defined(BN_UMULT_HIGH)
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b); \
+ BN_ULONG lo = ta * tb; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,tb); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG ta = (a), tb = (b), tt; \
+ BN_ULONG lo = ta * tb; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,tb); \
+ c0 += lo; tt = hi + ((c0<lo)?1:0); \
+ c1 += tt; c2 += (c1<tt)?1:0; \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG ta = (a)[i]; \
+ BN_ULONG lo = ta * ta; \
+ BN_ULONG hi = BN_UMULT_HIGH(ta,ta); \
+ c0 += lo; hi += (c0<lo)?1:0; \
+ c1 += hi; c2 += (c1<hi)?1:0; \
+ } while(0)
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+
+# else /* !BN_LLONG */
+/*
+ * Keep in mind that additions to hi can not overflow, because
+ * the high word of a multiplication result cannot be all-ones.
+ */
+# define mul_add_c(a,b,c0,c1,c2) do { \
+ BN_ULONG lo = LBITS(a), hi = HBITS(a); \
+ BN_ULONG bl = LBITS(b), bh = HBITS(b); \
+ mul64(lo,hi,bl,bh); \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define mul_add_c2(a,b,c0,c1,c2) do { \
+ BN_ULONG tt; \
+ BN_ULONG lo = LBITS(a), hi = HBITS(a); \
+ BN_ULONG bl = LBITS(b), bh = HBITS(b); \
+ mul64(lo,hi,bl,bh); \
+ tt = hi; \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) tt++; \
+ c1 = (c1+tt)&BN_MASK2; if (c1<tt) c2++; \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define sqr_add_c(a,i,c0,c1,c2) do { \
+ BN_ULONG lo, hi; \
+ sqr64(lo,hi,(a)[i]); \
+ c0 = (c0+lo)&BN_MASK2; if (c0<lo) hi++; \
+ c1 = (c1+hi)&BN_MASK2; if (c1<hi) c2++; \
+ } while(0)
+
+# define sqr_add_c2(a,i,j,c0,c1,c2) \
+ mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+# endif /* !BN_LLONG */
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
-#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;
- }
+{
+ 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;
+}
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
-#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;
- }
+{
+ 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;
+}
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
- {
-#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;
- }
+{
+ 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;
+}
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
- {
-#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;
- }
-#else /* !BN_MUL_COMBA */
+{
+ 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;
+}
+
+# ifdef OPENSSL_NO_ASM
+# ifdef OPENSSL_BN_ASM_MONT
+# include <alloca.h>
+/*
+ * This is essentially reference implementation, which may or may not
+ * result in performance improvement. E.g. on IA-32 this routine was
+ * observed to give 40% faster rsa1024 private key operations and 10%
+ * faster rsa4096 ones, while on AMD64 it improves rsa1024 sign only
+ * by 10% and *worsens* rsa4096 sign by 15%. Once again, it's a
+ * reference implementation, one to be used as starting point for
+ * platform-specific assembler. Mentioned numbers apply to compiler
+ * generated code compiled with and without -DOPENSSL_BN_ASM_MONT and
+ * can vary not only from platform to platform, but even for compiler
+ * versions. Assembler vs. assembler improvement coefficients can
+ * [and are known to] differ and are to be documented elsewhere.
+ */
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ const BN_ULONG *np, const BN_ULONG *n0p, int num)
+{
+ BN_ULONG c0, c1, ml, *tp, n0;
+# ifdef mul64
+ BN_ULONG mh;
+# endif
+ volatile BN_ULONG *vp;
+ int i = 0, j;
+
+# if 0 /* template for platform-specific
+ * implementation */
+ if (ap == bp)
+ return bn_sqr_mont(rp, ap, np, n0p, num);
+# endif
+ vp = tp = alloca((num + 2) * sizeof(BN_ULONG));
+
+ n0 = *n0p;
+
+ c0 = 0;
+ ml = bp[0];
+# ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ for (j = 0; j < num; ++j)
+ mul(tp[j], ap[j], ml, mh, c0);
+# else
+ for (j = 0; j < num; ++j)
+ mul(tp[j], ap[j], ml, c0);
+# endif
+
+ tp[num] = c0;
+ tp[num + 1] = 0;
+ goto enter;
+
+ for (i = 0; i < num; i++) {
+ c0 = 0;
+ ml = bp[i];
+# ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ for (j = 0; j < num; ++j)
+ mul_add(tp[j], ap[j], ml, mh, c0);
+# else
+ for (j = 0; j < num; ++j)
+ mul_add(tp[j], ap[j], ml, c0);
+# endif
+ c1 = (tp[num] + c0) & BN_MASK2;
+ tp[num] = c1;
+ tp[num + 1] = (c1 < c0 ? 1 : 0);
+ enter:
+ c1 = tp[0];
+ ml = (c1 * n0) & BN_MASK2;
+ c0 = 0;
+# ifdef mul64
+ mh = HBITS(ml);
+ ml = LBITS(ml);
+ mul_add(c1, np[0], ml, mh, c0);
+# else
+ mul_add(c1, ml, np[0], c0);
+# endif
+ for (j = 1; j < num; j++) {
+ c1 = tp[j];
+# ifdef mul64
+ mul_add(c1, np[j], ml, mh, c0);
+# else
+ mul_add(c1, ml, np[j], c0);
+# endif
+ tp[j - 1] = c1 & BN_MASK2;
+ }
+ c1 = (tp[num] + c0) & BN_MASK2;
+ tp[num - 1] = c1;
+ tp[num] = tp[num + 1] + (c1 < c0 ? 1 : 0);
+ }
+
+ if (tp[num] != 0 || tp[num - 1] >= np[num - 1]) {
+ c0 = bn_sub_words(rp, tp, np, num);
+ if (tp[num] != 0 || c0 == 0) {
+ for (i = 0; i < num + 2; i++)
+ vp[i] = 0;
+ return 1;
+ }
+ }
+ for (i = 0; i < num; i++)
+ rp[i] = tp[i], vp[i] = 0;
+ vp[num] = 0;
+ vp[num + 1] = 0;
+ return 1;
+}
+# else
+/*
+ * Return value of 0 indicates that multiplication/convolution was not
+ * performed to signal the caller to fall down to alternative/original
+ * code-path.
+ */
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ const BN_ULONG *np, const BN_ULONG *n0, int num)
+{
+ return 0;
+}
+# endif /* OPENSSL_BN_ASM_MONT */
+# endif
+
+#else /* !BN_MUL_COMBA */
/* hmm... is it faster just to do a multiply? */
-#undef bn_sqr_comba4
-void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t[8];
- bn_sqr_normal(r,a,4,t);
- }
-
-#undef bn_sqr_comba8
-void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
- {
- BN_ULONG t[16];
- bn_sqr_normal(r,a,8,t);
- }
+# undef bn_sqr_comba4
+# undef bn_sqr_comba8
+void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
+{
+ BN_ULONG t[8];
+ bn_sqr_normal(r, a, 4, t);
+}
+
+void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
+{
+ BN_ULONG t[16];
+ bn_sqr_normal(r, a, 8, t);
+}
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- 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]);
- }
+{
+ 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]);
+}
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
- {
- 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]);
- }
-
-#endif /* !BN_MUL_COMBA */
+{
+ 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]);
+}
+
+# ifdef OPENSSL_NO_ASM
+# ifdef OPENSSL_BN_ASM_MONT
+# include <alloca.h>
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ const BN_ULONG *np, const BN_ULONG *n0p, int num)
+{
+ BN_ULONG c0, c1, *tp, n0 = *n0p;
+ volatile BN_ULONG *vp;
+ int i = 0, j;
+
+ vp = tp = alloca((num + 2) * sizeof(BN_ULONG));
+
+ for (i = 0; i <= num; i++)
+ tp[i] = 0;
+
+ for (i = 0; i < num; i++) {
+ c0 = bn_mul_add_words(tp, ap, num, bp[i]);
+ c1 = (tp[num] + c0) & BN_MASK2;
+ tp[num] = c1;
+ tp[num + 1] = (c1 < c0 ? 1 : 0);
+
+ c0 = bn_mul_add_words(tp, np, num, tp[0] * n0);
+ c1 = (tp[num] + c0) & BN_MASK2;
+ tp[num] = c1;
+ tp[num + 1] += (c1 < c0 ? 1 : 0);
+ for (j = 0; j <= num; j++)
+ tp[j] = tp[j + 1];
+ }
+
+ if (tp[num] != 0 || tp[num - 1] >= np[num - 1]) {
+ c0 = bn_sub_words(rp, tp, np, num);
+ if (tp[num] != 0 || c0 == 0) {
+ for (i = 0; i < num + 2; i++)
+ vp[i] = 0;
+ return 1;
+ }
+ }
+ for (i = 0; i < num; i++)
+ rp[i] = tp[i], vp[i] = 0;
+ vp[num] = 0;
+ vp[num + 1] = 0;
+ return 1;
+}
+# else
+int bn_mul_mont(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+ const BN_ULONG *np, const BN_ULONG *n0, int num)
+{
+ return 0;
+}
+# endif /* OPENSSL_BN_ASM_MONT */
+# endif
+
+#endif /* !BN_MUL_COMBA */
projects / openssl.git / blobdiff