?? bn_mul.c
字號:
bn_mul_recursive(r,a,b,n,&(t[0])); if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL) { bn_mul_low_recursive(&(t[0]),&(a[0]),&(b[n]),n,&(t[n2])); bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); bn_mul_low_recursive(&(t[0]),&(a[n]),&(b[0]),n,&(t[n2])); bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); } else { bn_mul_low_normal(&(t[0]),&(a[0]),&(b[n]),n); bn_mul_low_normal(&(t[n]),&(a[n]),&(b[0]),n); bn_add_words(&(r[n]),&(r[n]),&(t[0]),n); bn_add_words(&(r[n]),&(r[n]),&(t[n]),n); } }/* a and b must be the same size, which is n2. * r needs to be n2 words and t needs to be n2*2 * l is the low words of the output. * t needs to be n2*3 */void bn_mul_high(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, BN_ULONG *l, int n2, BN_ULONG *t) { int i,n; int c1,c2; int neg,oneg,zero; BN_ULONG ll,lc,*lp,*mp;# ifdef BN_COUNT printf(" bn_mul_high %d * %d\n",n2,n2);# endif n=n2/2; /* Calculate (al-ah)*(bh-bl) */ neg=zero=0; c1=bn_cmp_words(&(a[0]),&(a[n]),n); c2=bn_cmp_words(&(b[n]),&(b[0]),n); switch (c1*3+c2) { case -4: bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n); bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n); break; case -3: zero=1; break; case -2: bn_sub_words(&(r[0]),&(a[n]),&(a[0]),n); bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n); neg=1; break; case -1: case 0: case 1: zero=1; break; case 2: bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n); bn_sub_words(&(r[n]),&(b[0]),&(b[n]),n); neg=1; break; case 3: zero=1; break; case 4: bn_sub_words(&(r[0]),&(a[0]),&(a[n]),n); bn_sub_words(&(r[n]),&(b[n]),&(b[0]),n); break; } oneg=neg; /* t[10] = (a[0]-a[1])*(b[1]-b[0]) */ /* r[10] = (a[1]*b[1]) */# ifdef BN_MUL_COMBA if (n == 8) { bn_mul_comba8(&(t[0]),&(r[0]),&(r[n])); bn_mul_comba8(r,&(a[n]),&(b[n])); } else# endif { bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,&(t[n2])); bn_mul_recursive(r,&(a[n]),&(b[n]),n,&(t[n2])); } /* s0 == low(al*bl) * s1 == low(ah*bh)+low((al-ah)*(bh-bl))+low(al*bl)+high(al*bl) * We know s0 and s1 so the only unknown is high(al*bl) * high(al*bl) == s1 - low(ah*bh+s0+(al-ah)*(bh-bl)) * high(al*bl) == s1 - (r[0]+l[0]+t[0]) */ if (l != NULL) { lp= &(t[n2+n]); c1=(int)(bn_add_words(lp,&(r[0]),&(l[0]),n)); } else { c1=0; lp= &(r[0]); } if (neg) neg=(int)(bn_sub_words(&(t[n2]),lp,&(t[0]),n)); else { bn_add_words(&(t[n2]),lp,&(t[0]),n); neg=0; } if (l != NULL) { bn_sub_words(&(t[n2+n]),&(l[n]),&(t[n2]),n); } else { lp= &(t[n2+n]); mp= &(t[n2]); for (i=0; i<n; i++) lp[i]=((~mp[i])+1)&BN_MASK2; } /* s[0] = low(al*bl) * t[3] = high(al*bl) * t[10] = (a[0]-a[1])*(b[1]-b[0]) neg is the sign * r[10] = (a[1]*b[1]) */ /* R[10] = al*bl * R[21] = al*bl + ah*bh + (a[0]-a[1])*(b[1]-b[0]) * R[32] = ah*bh */ /* R[1]=t[3]+l[0]+r[0](+-)t[0] (have carry/borrow) * R[2]=r[0]+t[3]+r[1](+-)t[1] (have carry/borrow) * R[3]=r[1]+(carry/borrow) */ if (l != NULL) { lp= &(t[n2]); c1= (int)(bn_add_words(lp,&(t[n2+n]),&(l[0]),n)); } else { lp= &(t[n2+n]); c1=0; } c1+=(int)(bn_add_words(&(t[n2]),lp, &(r[0]),n)); if (oneg) c1-=(int)(bn_sub_words(&(t[n2]),&(t[n2]),&(t[0]),n)); else c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),&(t[0]),n)); c2 =(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n2+n]),n)); c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(r[n]),n)); if (oneg) c2-=(int)(bn_sub_words(&(r[0]),&(r[0]),&(t[n]),n)); else c2+=(int)(bn_add_words(&(r[0]),&(r[0]),&(t[n]),n)); if (c1 != 0) /* Add starting at r[0], could be +ve or -ve */ { i=0; if (c1 > 0) { lc=c1; do { ll=(r[i]+lc)&BN_MASK2; r[i++]=ll; lc=(lc > ll); } while (lc); } else { lc= -c1; do { ll=r[i]; r[i++]=(ll-lc)&BN_MASK2; lc=(lc > ll); } while (lc); } } if (c2 != 0) /* Add starting at r[1] */ { i=n; if (c2 > 0) { lc=c2; do { ll=(r[i]+lc)&BN_MASK2; r[i++]=ll; lc=(lc > ll); } while (lc); } else { lc= -c2; do { ll=r[i]; r[i++]=(ll-lc)&BN_MASK2; lc=(lc > ll); } while (lc); } } }#endif /* BN_RECURSION */int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) { int top,al,bl; BIGNUM *rr; int ret = 0;#if defined(BN_MUL_COMBA) || defined(BN_RECURSION) int i;#endif#ifdef BN_RECURSION BIGNUM *t; int j,k;#endif#ifdef BN_COUNT printf("BN_mul %d * %d\n",a->top,b->top);#endif bn_check_top(a); bn_check_top(b); bn_check_top(r); al=a->top; bl=b->top; if ((al == 0) || (bl == 0)) { if (!BN_zero(r)) goto err; return(1); } top=al+bl; BN_CTX_start(ctx); if ((r == a) || (r == b)) { if ((rr = BN_CTX_get(ctx)) == NULL) goto err; } else rr = r; rr->neg=a->neg^b->neg;#if defined(BN_MUL_COMBA) || defined(BN_RECURSION) i = al-bl;#endif#ifdef BN_MUL_COMBA if (i == 0) {# if 0 if (al == 4) { if (bn_wexpand(rr,8) == NULL) goto err; rr->top=8; bn_mul_comba4(rr->d,a->d,b->d); goto end; }# endif if (al == 8) { if (bn_wexpand(rr,16) == NULL) goto err; rr->top=16; bn_mul_comba8(rr->d,a->d,b->d); goto end; } }#endif /* BN_MUL_COMBA */#ifdef BN_RECURSION if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL)) { if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA) && bl<b->dmax) {#if 0 /* tribute to const-ification, bl<b->dmax above covers for this */ if (bn_wexpand(b,al) == NULL) goto err;#endif b->d[bl]=0; bl++; i--; } else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA) && al<a->dmax) {#if 0 /* tribute to const-ification, al<a->dmax above covers for this */ if (bn_wexpand(a,bl) == NULL) goto err;#endif a->d[al]=0; al++; i++; } if (i == 0) { /* symmetric and > 4 */ /* 16 or larger */ j=BN_num_bits_word((BN_ULONG)al); j=1<<(j-1); k=j+j; t = BN_CTX_get(ctx); if (al == j) /* exact multiple */ { if (bn_wexpand(t,k*2) == NULL) goto err; if (bn_wexpand(rr,k*2) == NULL) goto err; bn_mul_recursive(rr->d,a->d,b->d,al,t->d); rr->top=top; goto end; }#if 0 /* tribute to const-ification, rsa/dsa performance is not affected */ else { if (bn_wexpand(a,k) == NULL ) goto err; if (bn_wexpand(b,k) == NULL ) goto err; if (bn_wexpand(t,k*4) == NULL ) goto err; if (bn_wexpand(rr,k*4) == NULL ) goto err; for (i=a->top; i<k; i++) a->d[i]=0; for (i=b->top; i<k; i++) b->d[i]=0; bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d); } rr->top=top; goto end;#endif } }#endif /* BN_RECURSION */ if (bn_wexpand(rr,top) == NULL) goto err; rr->top=top; bn_mul_normal(rr->d,a->d,al,b->d,bl);#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)end:#endif bn_fix_top(rr); if (r != rr) BN_copy(r,rr); ret=1;err: BN_CTX_end(ctx); return(ret); }void bn_mul_normal(BN_ULONG *r, BN_ULONG *a, int na, BN_ULONG *b, int nb) { BN_ULONG *rr;#ifdef BN_COUNT printf(" bn_mul_normal %d * %d\n",na,nb);#endif if (na < nb) { int itmp; BN_ULONG *ltmp; itmp=na; na=nb; nb=itmp; ltmp=a; a=b; b=ltmp; } rr= &(r[na]); rr[0]=bn_mul_words(r,a,na,b[0]); for (;;) { if (--nb <= 0) return; rr[1]=bn_mul_add_words(&(r[1]),a,na,b[1]); if (--nb <= 0) return; rr[2]=bn_mul_add_words(&(r[2]),a,na,b[2]); if (--nb <= 0) return; rr[3]=bn_mul_add_words(&(r[3]),a,na,b[3]); if (--nb <= 0) return; rr[4]=bn_mul_add_words(&(r[4]),a,na,b[4]); rr+=4; r+=4; b+=4; } }void bn_mul_low_normal(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n) {#ifdef BN_COUNT printf(" bn_mul_low_normal %d * %d\n",n,n);#endif bn_mul_words(r,a,n,b[0]); for (;;) { if (--n <= 0) return; bn_mul_add_words(&(r[1]),a,n,b[1]); if (--n <= 0) return; bn_mul_add_words(&(r[2]),a,n,b[2]); if (--n <= 0) return; bn_mul_add_words(&(r[3]),a,n,b[3]); if (--n <= 0) return; bn_mul_add_words(&(r[4]),a,n,b[4]); r+=4; b+=4; } }
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