/* crypto/bn/bn_asm.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.] */ #include #include "cryptlib.h" #include "bn_lcl.h" #ifdef BN_LLONG BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c1=0; bn_check_num(num); if (num <= 0) return(c1); for (;;) { mul_add(rp[0],ap[0],w,c1); if (--num == 0) break; mul_add(rp[1],ap[1],w,c1); if (--num == 0) break; mul_add(rp[2],ap[2],w,c1); if (--num == 0) break; mul_add(rp[3],ap[3],w,c1); if (--num == 0) break; ap+=4; rp+=4; } return(c1); } BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c1=0; bn_check_num(num); if (num <= 0) return(c1); for (;;) { mul(rp[0],ap[0],w,c1); if (--num == 0) break; mul(rp[1],ap[1],w,c1); if (--num == 0) break; mul(rp[2],ap[2],w,c1); if (--num == 0) break; mul(rp[3],ap[3],w,c1); if (--num == 0) break; ap+=4; rp+=4; } return(c1); } void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n) { bn_check_num(n); if (n <= 0) return; for (;;) { BN_ULLONG t; t=(BN_ULLONG)(a[0])*(a[0]); r[0]=Lw(t); r[1]=Hw(t); if (--n == 0) break; t=(BN_ULLONG)(a[1])*(a[1]); r[2]=Lw(t); r[3]=Hw(t); if (--n == 0) break; t=(BN_ULLONG)(a[2])*(a[2]); r[4]=Lw(t); r[5]=Hw(t); if (--n == 0) break; t=(BN_ULLONG)(a[3])*(a[3]); r[6]=Lw(t); r[7]=Hw(t); if (--n == 0) break; a+=4; r+=8; } } #else BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c=0; BN_ULONG bl,bh; bn_check_num(num); 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); } BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG carry=0; BN_ULONG bl,bh; bn_check_num(num); 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); } void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n) { bn_check_num(n); 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 #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_ULONG)1<= d) h-=d; if (i) { d<<=i; h=(h<>(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; for (;;) { t=(h-q*dh); if ((t&BN_MASK2h) || ((dl*q) <= ( (t<>BN_BITS4)))) break; q--; } th=q*dh; tl=q*dl; t=(tl>>BN_BITS4); tl=(tl<>BN_BITS4))&BN_MASK2; l=(l&BN_MASK2l)<>=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_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n) { BN_ULONG c,l,t; bn_check_num(n); 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_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n) { BN_ULONG t1,t2; int c=0; bn_check_num(n); 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 #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) #else #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 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; } 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; } void bn_sqr_comba8(BN_ULONG *r, 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; } void bn_sqr_comba4(BN_ULONG *r, 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 /* 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); } 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]); } 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_COMBA */