* [including the GNU Public Licence.]
*/
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
#include <stdio.h>
+#include <assert.h>
#include "cryptlib.h"
#include "bn_lcl.h"
+#if defined(OPENSSL_NO_ASM) || !defined(OPENSSL_BN_ASM_PART_WORDS)
+/* Here follows specialised variants of bn_add_words() and
+ bn_sub_words(). They have the property performing operations on
+ arrays of different sizes. The sizes of those arrays is expressed through
+ cl, which is the common length ( basicall, min(len(a),len(b)) ), and dl,
+ which is the delta between the two lengths, calculated as len(a)-len(b).
+ All lengths are the number of BN_ULONGs... For the operations that require
+ a result array as parameter, it must have the length cl+abs(dl).
+ These functions should probably end up in bn_asm.c as soon as there are
+ assembler counterparts for the systems that use assembler files. */
+
+BN_ULONG bn_sub_part_words(BN_ULONG *r,
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+ {
+ BN_ULONG c, t;
+
+ assert(cl >= 0);
+ c = bn_sub_words(r, a, b, cl);
+
+ if (dl == 0)
+ return c;
+
+ r += cl;
+ a += cl;
+ b += cl;
+
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
+#endif
+ for (;;)
+ {
+ t = b[0];
+ r[0] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[1];
+ r[1] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[2];
+ r[2] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ t = b[3];
+ r[3] = (0-t-c)&BN_MASK2;
+ if (t != 0) c=1;
+ if (++dl >= 0) break;
+
+ b += 4;
+ r += 4;
+ }
+ }
+ else
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c = %d)\n", cl, dl, c);
+#endif
+ while(c)
+ {
+ t = a[0];
+ r[0] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[1];
+ r[1] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[2];
+ r[2] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ t = a[3];
+ r[3] = (t-c)&BN_MASK2;
+ if (t != 0) c=0;
+ if (--dl <= 0) break;
+
+ save_dl = dl;
+ a += 4;
+ r += 4;
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
+#endif
+ if (save_dl > dl)
+ {
+ switch (save_dl - dl)
+ {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0) break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_sub_part_words %d + %d (dl > 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = a[0];
+ if (--dl <= 0) break;
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ r[3] = a[3];
+ if (--dl <= 0) break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+ }
+#endif
+
+BN_ULONG bn_add_part_words(BN_ULONG *r,
+ const BN_ULONG *a, const BN_ULONG *b,
+ int cl, int dl)
+ {
+ BN_ULONG c, l, t;
+
+ assert(cl >= 0);
+ c = bn_add_words(r, a, b, cl);
+
+ if (dl == 0)
+ return c;
+
+ r += cl;
+ a += cl;
+ b += cl;
+
+ if (dl < 0)
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c = %d)\n", cl, dl, c);
+#endif
+ while (c)
+ {
+ l=(c+b[0])&BN_MASK2;
+ c=(l < c);
+ r[0]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[1])&BN_MASK2;
+ c=(l < c);
+ r[1]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[2])&BN_MASK2;
+ c=(l < c);
+ r[2]=l;
+ if (++dl >= 0) break;
+
+ l=(c+b[3])&BN_MASK2;
+ c=(l < c);
+ r[3]=l;
+ if (++dl >= 0) break;
+
+ save_dl = dl;
+ b+=4;
+ r+=4;
+ }
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, c == 0)\n", cl, dl);
+#endif
+ if (save_dl < dl)
+ {
+ switch (dl - save_dl)
+ {
+ case 1:
+ r[1] = b[1];
+ if (++dl >= 0) break;
+ case 2:
+ r[2] = b[2];
+ if (++dl >= 0) break;
+ case 3:
+ r[3] = b[3];
+ if (++dl >= 0) break;
+ }
+ b += 4;
+ r += 4;
+ }
+ }
+ if (dl < 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl < 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = b[0];
+ if (++dl >= 0) break;
+ r[1] = b[1];
+ if (++dl >= 0) break;
+ r[2] = b[2];
+ if (++dl >= 0) break;
+ r[3] = b[3];
+ if (++dl >= 0) break;
+
+ b += 4;
+ r += 4;
+ }
+ }
+ }
+ else
+ {
+ int save_dl = dl;
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0)\n", cl, dl);
+#endif
+ while (c)
+ {
+ t=(a[0]+c)&BN_MASK2;
+ c=(t < c);
+ r[0]=t;
+ if (--dl <= 0) break;
+
+ t=(a[1]+c)&BN_MASK2;
+ c=(t < c);
+ r[1]=t;
+ if (--dl <= 0) break;
+
+ t=(a[2]+c)&BN_MASK2;
+ c=(t < c);
+ r[2]=t;
+ if (--dl <= 0) break;
+
+ t=(a[3]+c)&BN_MASK2;
+ c=(t < c);
+ r[3]=t;
+ if (--dl <= 0) break;
+
+ save_dl = dl;
+ a+=4;
+ r+=4;
+ }
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, c == 0)\n", cl, dl);
+#endif
+ if (dl > 0)
+ {
+ if (save_dl > dl)
+ {
+ switch (save_dl - dl)
+ {
+ case 1:
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ case 2:
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ case 3:
+ r[3] = a[3];
+ if (--dl <= 0) break;
+ }
+ a += 4;
+ r += 4;
+ }
+ }
+ if (dl > 0)
+ {
+#ifdef BN_COUNT
+ fprintf(stderr, " bn_add_part_words %d + %d (dl > 0, copy)\n", cl, dl);
+#endif
+ for(;;)
+ {
+ r[0] = a[0];
+ if (--dl <= 0) break;
+ r[1] = a[1];
+ if (--dl <= 0) break;
+ r[2] = a[2];
+ if (--dl <= 0) break;
+ r[3] = a[3];
+ if (--dl <= 0) break;
+
+ a += 4;
+ r += 4;
+ }
+ }
+ }
+ return c;
+ }
+
#ifdef BN_RECURSION
+/* Karatsuba recursive multiplication algorithm
+ * (cf. Knuth, The Art of Computer Programming, Vol. 2) */
+
/* r is 2*n2 words in size,
* a and b are both n2 words in size.
* n2 must be a power of 2.
* We multiply and return the result.
* t must be 2*n2 words in size
- * We calulate
+ * We calculate
* a[0]*b[0]
* a[0]*b[0]+a[1]*b[1]+(a[0]-a[1])*(b[1]-b[0])
* a[1]*b[1]
*/
-void bn_mul_recursive(r,a,b,n2,t)
-BN_ULONG *r,*a,*b;
-int n2;
-BN_ULONG *t;
+void bn_mul_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
+ int dna, int dnb, BN_ULONG *t)
{
int n=n2/2,c1,c2;
+ int tna=n+dna, tnb=n+dnb;
unsigned int neg,zero;
BN_ULONG ln,lo,*p;
-#ifdef BN_COUNT
-printf(" bn_mul_recursive %d * %d\n",n2,n2);
-#endif
-#ifdef BN_MUL_COMBA
-/* if (n2 == 4)
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_recursive %d * %d\n",n2,n2);
+# endif
+# ifdef BN_MUL_COMBA
+# if 0
+ if (n2 == 4)
{
bn_mul_comba4(r,a,b);
return;
}
- else */ if (n2 == 8)
+# endif
+ /* Only call bn_mul_comba 8 if n2 == 8 and the
+ * two arrays are complete [steve]
+ */
+ if (n2 == 8 && dna == 0 && dnb == 0)
{
bn_mul_comba8(r,a,b);
return;
}
-#endif
+# endif /* BN_MUL_COMBA */
+ /* Else do normal multiply */
if (n2 < BN_MUL_RECURSIVE_SIZE_NORMAL)
{
- /* This should not happen */
- bn_mul_normal(r,a,n2,b,n2);
+ bn_mul_normal(r,a,n2+dna,b,n2+dnb);
+ if ((dna + dnb) < 0)
+ memset(&r[2*n2 + dna + dnb], 0,
+ sizeof(BN_ULONG) * -(dna + dnb));
return;
}
/* r=(a[0]-a[1])*(b[1]-b[0]) */
- c1=bn_cmp_words(a,&(a[n]),n);
- c2=bn_cmp_words(&(b[n]),b,n);
+ c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
+ c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
zero=neg=0;
switch (c1*3+c2)
{
case -4:
- bn_sub_words(t, &(a[n]),a, n); /* - */
- bn_sub_words(&(t[n]),b, &(b[n]),n); /* - */
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
break;
case -3:
zero=1;
break;
case -2:
- bn_sub_words(t, &(a[n]),a, n); /* - */
- bn_sub_words(&(t[n]),&(b[n]),b, n); /* + */
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
neg=1;
break;
case -1:
zero=1;
break;
case 2:
- bn_sub_words(t, a, &(a[n]),n); /* + */
- bn_sub_words(&(t[n]),b, &(b[n]),n); /* - */
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
neg=1;
break;
case 3:
zero=1;
break;
case 4:
- bn_sub_words(t, a, &(a[n]),n);
- bn_sub_words(&(t[n]),&(b[n]),b, n);
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
break;
}
-#ifdef BN_MUL_COMBA
- if (n == 4)
+# ifdef BN_MUL_COMBA
+ if (n == 4 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba4 could take
+ extra args to do this well */
{
if (!zero)
bn_mul_comba4(&(t[n2]),t,&(t[n]));
bn_mul_comba4(r,a,b);
bn_mul_comba4(&(r[n2]),&(a[n]),&(b[n]));
}
- else if (n == 8)
+ else if (n == 8 && dna == 0 && dnb == 0) /* XXX: bn_mul_comba8 could
+ take extra args to do this
+ well */
{
if (!zero)
bn_mul_comba8(&(t[n2]),t,&(t[n]));
bn_mul_comba8(&(r[n2]),&(a[n]),&(b[n]));
}
else
-#endif
+# endif /* BN_MUL_COMBA */
{
p= &(t[n2*2]);
if (!zero)
- bn_mul_recursive(&(t[n2]),t,&(t[n]),n,p);
+ bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
else
memset(&(t[n2]),0,n2*sizeof(BN_ULONG));
- bn_mul_recursive(r,a,b,n,p);
- bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),n,p);
+ bn_mul_recursive(r,a,b,n,0,0,p);
+ bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),n,dna,dnb,p);
}
/* t[32] holds (a[0]-a[1])*(b[1]-b[0]), c1 is the sign
/* n+tn is the word length
* t needs to be n*4 is size, as does r */
-void bn_mul_part_recursive(r,a,b,tn,n,t)
-BN_ULONG *r,*a,*b;
-int tn,n;
-BN_ULONG *t;
+void bn_mul_part_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n,
+ int tna, int tnb, BN_ULONG *t)
{
int i,j,n2=n*2;
- unsigned int c1;
+ int c1,c2,neg,zero;
BN_ULONG ln,lo,*p;
-#ifdef BN_COUNT
-printf(" bn_mul_part_recursive %d * %d\n",tn+n,tn+n);
-#endif
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_part_recursive (%d+%d) * (%d+%d)\n",
+ tna, n, tnb, n);
+# endif
if (n < 8)
{
- i=tn+n;
- bn_mul_normal(r,a,i,b,i);
+ bn_mul_normal(r,a,n+tna,b,n+tnb);
return;
}
/* r=(a[0]-a[1])*(b[1]-b[0]) */
- bn_sub_words(t, a, &(a[n]),n); /* + */
- bn_sub_words(&(t[n]),b, &(b[n]),n); /* - */
-
-/* if (n == 4)
+ c1=bn_cmp_part_words(a,&(a[n]),tna,n-tna);
+ c2=bn_cmp_part_words(&(b[n]),b,tnb,tnb-n);
+ zero=neg=0;
+ switch (c1*3+c2)
+ {
+ case -4:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ break;
+ case -3:
+ zero=1;
+ /* break; */
+ case -2:
+ bn_sub_part_words(t, &(a[n]),a, tna,tna-n); /* - */
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n); /* + */
+ neg=1;
+ break;
+ case -1:
+ case 0:
+ case 1:
+ zero=1;
+ /* break; */
+ case 2:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna); /* + */
+ bn_sub_part_words(&(t[n]),b, &(b[n]),tnb,n-tnb); /* - */
+ neg=1;
+ break;
+ case 3:
+ zero=1;
+ /* break; */
+ case 4:
+ bn_sub_part_words(t, a, &(a[n]),tna,n-tna);
+ bn_sub_part_words(&(t[n]),&(b[n]),b, tnb,tnb-n);
+ break;
+ }
+ /* The zero case isn't yet implemented here. The speedup
+ would probably be negligible. */
+# if 0
+ if (n == 4)
{
bn_mul_comba4(&(t[n2]),t,&(t[n]));
bn_mul_comba4(r,a,b);
bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn);
memset(&(r[n2+tn*2]),0,sizeof(BN_ULONG)*(n2-tn*2));
}
- else */ if (n == 8)
+ else
+# endif
+ if (n == 8)
{
bn_mul_comba8(&(t[n2]),t,&(t[n]));
bn_mul_comba8(r,a,b);
- bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn);
- memset(&(r[n2+tn*2]),0,sizeof(BN_ULONG)*(n2-tn*2));
+ bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
+ memset(&(r[n2+tna+tnb]),0,sizeof(BN_ULONG)*(n2-tna-tnb));
}
else
{
p= &(t[n2*2]);
- bn_mul_recursive(&(t[n2]),t,&(t[n]),n,p);
- bn_mul_recursive(r,a,b,n,p);
+ bn_mul_recursive(&(t[n2]),t,&(t[n]),n,0,0,p);
+ bn_mul_recursive(r,a,b,n,0,0,p);
i=n/2;
/* If there is only a bottom half to the number,
* just do it */
- j=tn-i;
+ if (tna > tnb)
+ j = tna - i;
+ else
+ j = tnb - i;
if (j == 0)
{
- bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),i,p);
+ bn_mul_recursive(&(r[n2]),&(a[n]),&(b[n]),
+ i,tna-i,tnb-i,p);
memset(&(r[n2+i*2]),0,sizeof(BN_ULONG)*(n2-i*2));
}
else if (j > 0) /* eg, n == 16, i == 8 and tn == 11 */
{
bn_mul_part_recursive(&(r[n2]),&(a[n]),&(b[n]),
- j,i,p);
- memset(&(r[n2+tn*2]),0,
- sizeof(BN_ULONG)*(n2-tn*2));
+ i,tna-i,tnb-i,p);
+ memset(&(r[n2+tna+tnb]),0,
+ sizeof(BN_ULONG)*(n2-tna-tnb));
}
else /* (j < 0) eg, n == 16, i == 8 and tn == 5 */
{
memset(&(r[n2]),0,sizeof(BN_ULONG)*n2);
- if (tn < BN_MUL_RECURSIVE_SIZE_NORMAL)
+ if (tna < BN_MUL_RECURSIVE_SIZE_NORMAL
+ && tnb < BN_MUL_RECURSIVE_SIZE_NORMAL)
{
- bn_mul_normal(&(r[n2]),&(a[n]),tn,&(b[n]),tn);
+ bn_mul_normal(&(r[n2]),&(a[n]),tna,&(b[n]),tnb);
}
else
{
for (;;)
{
i/=2;
- if (i < tn)
+ if (i < tna && i < tnb)
{
bn_mul_part_recursive(&(r[n2]),
&(a[n]),&(b[n]),
- tn-i,i,p);
+ i,tna-i,tnb-i,p);
break;
}
- else if (i == tn)
+ else if (i <= tna && i <= tnb)
{
bn_mul_recursive(&(r[n2]),
&(a[n]),&(b[n]),
- i,p);
+ i,tna-i,tnb-i,p);
break;
}
}
*/
c1=(int)(bn_add_words(t,r,&(r[n2]),n2));
- c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+
+ if (neg) /* if t[32] is negative */
+ {
+ c1-=(int)(bn_sub_words(&(t[n2]),t,&(t[n2]),n2));
+ }
+ else
+ {
+ /* Might have a carry */
+ c1+=(int)(bn_add_words(&(t[n2]),&(t[n2]),t,n2));
+ }
/* t[32] holds (a[0]-a[1])*(b[1]-b[0])+(a[0]*b[0])+(a[1]*b[1])
* r[10] holds (a[0]*b[0])
/* The overflow will stop before we over write
* words we should not overwrite */
- if (ln < c1)
+ if (ln < (BN_ULONG)c1)
{
do {
p++;
/* a and b must be the same size, which is n2.
* r needs to be n2 words and t needs to be n2*2
*/
-void bn_mul_low_recursive(r,a,b,n2,t)
-BN_ULONG *r,*a,*b;
-int n2;
-BN_ULONG *t;
+void bn_mul_low_recursive(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n2,
+ BN_ULONG *t)
{
int n=n2/2;
-#ifdef BN_COUNT
-printf(" bn_mul_low_recursive %d * %d\n",n2,n2);
-#endif
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_low_recursive %d * %d\n",n2,n2);
+# endif
- bn_mul_recursive(r,a,b,n,&(t[0]));
+ bn_mul_recursive(r,a,b,n,0,0,&(t[0]));
if (n >= BN_MUL_LOW_RECURSIVE_SIZE_NORMAL)
{
bn_mul_low_recursive(&(t[0]),&(a[0]),&(b[n]),n,&(t[n2]));
* l is the low words of the output.
* t needs to be n2*3
*/
-void bn_mul_high(r,a,b,l,n2,t)
-BN_ULONG *r,*a,*b,*l;
-int n2;
-BN_ULONG *t;
+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+1)/2;
+# ifdef BN_COUNT
+ fprintf(stderr," bn_mul_high %d * %d\n",n2,n2);
+# endif
+ n=n2/2;
/* Calculate (al-ah)*(bh-bl) */
neg=zero=0;
oneg=neg;
/* t[10] = (a[0]-a[1])*(b[1]-b[0]) */
/* r[10] = (a[1]*b[1]) */
-#ifdef BN_MUL_COMBA
+# 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
+# endif
{
- bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,&(t[n2]));
- bn_mul_recursive(r,&(a[n]),&(b[n]),n,&(t[n2]));
+ bn_mul_recursive(&(t[0]),&(r[0]),&(r[n]),n,0,0,&(t[n2]));
+ bn_mul_recursive(r,&(a[n]),&(b[n]),n,0,0,&(t[n2]));
}
/* s0 == low(al*bl)
}
}
}
-#endif
+#endif /* BN_RECURSION */
-int BN_mul(r,a,b,ctx)
-BIGNUM *r,*a,*b;
-BN_CTX *ctx;
+int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
- int top,i,j,k,al,bl;
- BIGNUM *t;
-
- t=NULL;
- i=j=k=0;
+ int ret=0;
+ int top,al,bl;
+ BIGNUM *rr;
+#if defined(BN_MUL_COMBA) || defined(BN_RECURSION)
+ int i;
+#endif
+#ifdef BN_RECURSION
+ BIGNUM *t=NULL;
+ int j=0,k;
+#endif
#ifdef BN_COUNT
-printf("BN_mul %d * %d\n",a->top,b->top);
+ fprintf(stderr,"BN_mul %d * %d\n",a->top,b->top);
#endif
bn_check_top(a);
al=a->top;
bl=b->top;
- r->neg=a->neg^b->neg;
if ((al == 0) || (bl == 0))
{
- BN_zero(r);
+ 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)
- if (al == bl)
+ i = al-bl;
+#endif
+#ifdef BN_MUL_COMBA
+ if (i == 0)
{
-# ifdef BN_MUL_COMBA
-/* if (al == 4)
+# if 0
+ if (al == 4)
{
- if (bn_wexpand(r,8) == NULL) return(0);
- r->top=8;
- bn_mul_comba4(r->d,a->d,b->d);
+ if (bn_wexpand(rr,8) == NULL) goto err;
+ rr->top=8;
+ bn_mul_comba4(rr->d,a->d,b->d);
goto end;
}
- else */ if (al == 8)
+# endif
+ if (al == 8)
{
- if (bn_wexpand(r,16) == NULL) return(0);
- r->top=16;
- bn_mul_comba8(r->d,a->d,b->d);
+ if (bn_wexpand(rr,16) == NULL) goto err;
+ rr->top=16;
+ bn_mul_comba8(rr->d,a->d,b->d);
goto end;
}
- else
-# endif
+ }
+#endif /* BN_MUL_COMBA */
#ifdef BN_RECURSION
- if (al < BN_MULL_SIZE_NORMAL)
-#endif
+ if ((al >= BN_MULL_SIZE_NORMAL) && (bl >= BN_MULL_SIZE_NORMAL))
+ {
+ if (i >= -1 && i <= 1)
{
- if (bn_wexpand(r,top) == NULL) return(0);
- r->top=top;
- bn_mul_normal(r->d,a->d,al,b->d,bl);
+ int sav_j =0;
+ /* Find out the power of two lower or equal
+ to the longest of the two numbers */
+ if (i >= 0)
+ {
+ j = BN_num_bits_word((BN_ULONG)al);
+ }
+ if (i == -1)
+ {
+ j = BN_num_bits_word((BN_ULONG)bl);
+ }
+ sav_j = j;
+ j = 1<<(j-1);
+ assert(j <= al || j <= bl);
+ k = j+j;
+ t = BN_CTX_get(ctx);
+ if (al > j || bl > j)
+ {
+ bn_wexpand(t,k*4);
+ bn_wexpand(rr,k*4);
+ bn_mul_part_recursive(rr->d,a->d,b->d,
+ j,al-j,bl-j,t->d);
+ }
+ else /* al <= j || bl <= j */
+ {
+ bn_wexpand(t,k*2);
+ bn_wexpand(rr,k*2);
+ bn_mul_recursive(rr->d,a->d,b->d,
+ j,al-j,bl-j,t->d);
+ }
+ rr->top=top;
goto end;
}
-# ifdef BN_RECURSION
- goto symetric;
-# endif
- }
-#endif
-#ifdef BN_RECURSION
- else if ((al < BN_MULL_SIZE_NORMAL) || (bl < BN_MULL_SIZE_NORMAL))
- {
- if (bn_wexpand(r,top) == NULL) return(0);
- r->top=top;
- bn_mul_normal(r->d,a->d,al,b->d,bl);
- goto end;
- }
- else
- {
- i=(al-bl);
- if ((i == 1) && !BN_get_flags(b,BN_FLG_STATIC_DATA))
+#if 0
+ if (i == 1 && !BN_get_flags(b,BN_FLG_STATIC_DATA))
{
- bn_wexpand(b,al);
- b->d[bl]=0;
+ BIGNUM *tmp_bn = (BIGNUM *)b;
+ if (bn_wexpand(tmp_bn,al) == NULL) goto err;
+ tmp_bn->d[bl]=0;
bl++;
- goto symetric;
+ i--;
}
- else if ((i == -1) && !BN_get_flags(a,BN_FLG_STATIC_DATA))
+ else if (i == -1 && !BN_get_flags(a,BN_FLG_STATIC_DATA))
{
- bn_wexpand(a,bl);
- a->d[al]=0;
+ BIGNUM *tmp_bn = (BIGNUM *)a;
+ if (bn_wexpand(tmp_bn,bl) == NULL) goto err;
+ tmp_bn->d[al]=0;
al++;
- goto symetric;
- }
- }
-#endif
-
- /* asymetric and >= 4 */
- if (bn_wexpand(r,top) == NULL) return(0);
- r->top=top;
- bn_mul_normal(r->d,a->d,al,b->d,bl);
-
-#ifdef BN_RECURSION
- if (0)
- {
-symetric:
- /* symetric and > 4 */
- /* 16 or larger */
- j=BN_num_bits_word((BN_ULONG)al);
- j=1<<(j-1);
- k=j+j;
- t= &(ctx->bn[ctx->tos]);
- if (al == j) /* exact multiple */
- {
- bn_wexpand(t,k*2);
- bn_wexpand(r,k*2);
- bn_mul_recursive(r->d,a->d,b->d,al,t->d);
+ i++;
}
- else
+ if (i == 0)
{
- bn_wexpand(a,k);
- bn_wexpand(b,k);
- bn_wexpand(t,k*4);
- bn_wexpand(r,k*4);
- 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(r->d,a->d,b->d,al-j,j,t->d);
+ /* 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);
+ }
+ else
+ {
+ if (bn_wexpand(t,k*4) == NULL) goto err;
+ if (bn_wexpand(rr,k*4) == NULL) goto err;
+ bn_mul_part_recursive(rr->d,a->d,b->d,al-j,j,t->d);
+ }
+ rr->top=top;
+ goto end;
}
- r->top=top;
- }
#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:
- bn_fix_top(r);
- return(1);
+#endif
+ bn_correct_top(rr);
+ if (r != rr) BN_copy(r,rr);
+ ret=1;
+err:
+ BN_CTX_end(ctx);
+ bn_check_top(r);
+ return(ret);
}
-void bn_mul_normal(r,a,na,b,nb)
-BN_ULONG *r,*a;
-int na;
-BN_ULONG *b;
-int nb;
+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);
+ fprintf(stderr," bn_mul_normal %d * %d\n",na,nb);
#endif
if (na < nb)
}
rr= &(r[na]);
- rr[0]=bn_mul_words(r,a,na,b[0]);
+ if (nb <= 0)
+ {
+ (void)bn_mul_words(r,a,na,0);
+ return;
+ }
+ else
+ rr[0]=bn_mul_words(r,a,na,b[0]);
for (;;)
{
}
}
-void bn_mul_low_normal(r,a,b,n)
-BN_ULONG *r,*a,*b;
-int n;
+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);
+ fprintf(stderr," bn_mul_low_normal %d * %d\n",n,n);
#endif
bn_mul_words(r,a,n,b[0]);
b+=4;
}
}
-
projects / openssl.git / blobdiff