*/
#include <stdio.h>
+#include <openssl/bn.h>
#include "cryptlib.h"
#include "bn_lcl.h"
+
/* The old slow way */
#if 0
-int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx)
+int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
+ BN_CTX *ctx)
{
int i,nm,nd;
+ int ret = 0;
BIGNUM *D;
bn_check_top(m);
return(1);
}
- D= &(ctx->bn[ctx->tos]);
- if (dv == NULL) dv= &(ctx->bn[ctx->tos+1]);
- if (rem == NULL) rem= &(ctx->bn[ctx->tos+2]);
+ BN_CTX_start(ctx);
+ D = BN_CTX_get(ctx);
+ if (dv == NULL) dv = BN_CTX_get(ctx);
+ if (rem == NULL) rem = BN_CTX_get(ctx);
+ if (D == NULL || dv == NULL || rem == NULL)
+ goto end;
nd=BN_num_bits(d);
nm=BN_num_bits(m);
- if (BN_copy(D,d) == NULL) return(0);
- if (BN_copy(rem,m) == NULL) return(0);
+ if (BN_copy(D,d) == NULL) goto end;
+ if (BN_copy(rem,m) == NULL) goto end;
/* The next 2 are needed so we can do a dv->d[0]|=1 later
* since BN_lshift1 will only work once there is a value :-) */
bn_wexpand(dv,1);
dv->top=1;
- if (!BN_lshift(D,D,nm-nd)) return(0);
+ if (!BN_lshift(D,D,nm-nd)) goto end;
for (i=nm-nd; i>=0; i--)
{
- if (!BN_lshift1(dv,dv)) return(0);
+ if (!BN_lshift1(dv,dv)) goto end;
if (BN_ucmp(rem,D) >= 0)
{
dv->d[0]|=1;
- if (!BN_usub(rem,rem,D)) return(0);
+ if (!BN_usub(rem,rem,D)) goto end;
}
/* CAN IMPROVE (and have now :=) */
- if (!BN_rshift1(D,D)) return(0);
+ if (!BN_rshift1(D,D)) goto end;
}
rem->neg=BN_is_zero(rem)?0:m->neg;
dv->neg=m->neg^d->neg;
- return(1);
+ ret = 1;
+ end:
+ BN_CTX_end(ctx);
+ return(ret);
}
#else
-int BN_div(BIGNUM *dv, BIGNUM *rm, BIGNUM *num, BIGNUM *divisor,
- BN_CTX *ctx)
+#if !defined(OPENSSL_NO_ASM) && !defined(OPENSSL_NO_INLINE_ASM) \
+ && !defined(PEDANTIC) && !defined(BN_DIV3W)
+# if defined(__GNUC__) && __GNUC__>=2
+# if defined(__i386)
+ /*
+ * There were two reasons for implementing this template:
+ * - GNU C generates a call to a function (__udivdi3 to be exact)
+ * in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to
+ * understand why...);
+ * - divl doesn't only calculate quotient, but also leaves
+ * remainder in %edx which we can definitely use here:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+# define bn_div_words(n0,n1,d0) \
+ ({ asm volatile ( \
+ "divl %4" \
+ : "=a"(q), "=d"(rem) \
+ : "a"(n1), "d"(n0), "g"(d0) \
+ : "cc"); \
+ q; \
+ })
+# define REMAINDER_IS_ALREADY_CALCULATED
+# endif /* __<cpu> */
+# endif /* __GNUC__ */
+#endif /* OPENSSL_NO_ASM */
+
+
+/* BN_div computes dv := num / divisor, rounding towards zero, and sets up
+ * rm such that dv*divisor + rm = num holds.
+ * Thus:
+ * dv->neg == num->neg ^ divisor->neg (unless the result is zero)
+ * rm->neg == num->neg (unless the remainder is zero)
+ * If 'dv' or 'rm' is NULL, the respective value is not returned.
+ */
+int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
+ BN_CTX *ctx)
{
int norm_shift,i,j,loop;
BIGNUM *tmp,wnum,*snum,*sdiv,*res;
return(1);
}
- tmp= &(ctx->bn[ctx->tos]);
- tmp->neg=0;
- snum= &(ctx->bn[ctx->tos+1]);
- sdiv= &(ctx->bn[ctx->tos+2]);
+ BN_CTX_start(ctx);
+ tmp=BN_CTX_get(ctx);
+ snum=BN_CTX_get(ctx);
+ sdiv=BN_CTX_get(ctx);
if (dv == NULL)
- res= &(ctx->bn[ctx->tos+3]);
+ res=BN_CTX_get(ctx);
else res=dv;
+ if (sdiv == NULL || res == NULL) goto err;
+ tmp->neg=0;
/* First we normalise the numbers */
norm_shift=BN_BITS2-((BN_num_bits(divisor))%BN_BITS2);
BN_init(&wnum);
wnum.d= &(snum->d[loop]);
wnum.top= div_n;
- wnum.max= snum->max+1; /* a bit of a lie */
+ wnum.dmax= snum->dmax+1; /* a bit of a lie */
/* Get the top 2 words of sdiv */
/* i=sdiv->top; */
}
else
res->top--;
+ if (res->top == 0)
+ res->neg = 0;
resp--;
for (i=0; i<loop-1; i++)
{
- BN_ULONG q,n0,n1;
- BN_ULONG l0;
+ BN_ULONG q,l0;
+#if defined(BN_DIV3W) && !defined(OPENSSL_NO_ASM)
+ BN_ULONG bn_div_3_words(BN_ULONG*,BN_ULONG,BN_ULONG);
+ q=bn_div_3_words(wnump,d1,d0);
+#else
+ BN_ULONG n0,n1,rem=0;
- wnum.d--; wnum.top++;
n0=wnump[0];
n1=wnump[-1];
if (n0 == d0)
q=BN_MASK2;
- else
- q=bn_div_words(n0,n1,d0);
- {
-#ifdef BN_LLONG
- BN_ULLONG t1,t2,rem;
- t1=((BN_ULLONG)n0<<BN_BITS2)|n1;
- for (;;)
+ else /* n0 < d0 */
{
+#ifdef BN_LLONG
+ BN_ULLONG t2;
+
+#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
+ q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
+#else
+ q=bn_div_words(n0,n1,d0);
+#endif
+
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ /*
+ * rem doesn't have to be BN_ULLONG. The least we
+ * know it's less that d0, isn't it?
+ */
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
t2=(BN_ULLONG)d1*q;
- rem=t1-(BN_ULLONG)q*d0;
- if ((rem>>BN_BITS2) ||
- (t2 <= ((BN_ULLONG)(rem<<BN_BITS2)+wnump[-2])))
- break;
- q--;
- }
+
+ for (;;)
+ {
+ if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ t2 -= d1;
+ }
+#else /* !BN_LLONG */
+ BN_ULONG t2l,t2h,ql,qh;
+
+ q=bn_div_words(n0,n1,d0);
+#ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem=(n1-q*d0)&BN_MASK2;
+#endif
+
+#ifdef BN_UMULT_HIGH
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1,q);
#else
- BN_ULONG t1l,t1h,t2l,t2h,t3l,t3h,ql,qh,t3t;
- t1h=n0;
- t1l=n1;
- for (;;)
- {
t2l=LBITS(d1); t2h=HBITS(d1);
ql =LBITS(q); qh =HBITS(q);
mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
+#endif
- t3t=LBITS(d0); t3h=HBITS(d0);
- mul64(t3t,t3h,ql,qh); /* t3=t1-(BN_ULLONG)q*d0; */
- t3l=(t1l-t3t)&BN_MASK2;
- if (t3l > t1l) t3h++;
- t3h=(t1h-t3h)&BN_MASK2;
-
- /*if ((t3>>BN_BITS2) ||
- (t2 <= ((t3<<BN_BITS2)+wnump[-2])))
- break; */
- if (t3h) break;
- if (t2h < t3l) break;
- if ((t2h == t3l) && (t2l <= wnump[-2])) break;
-
- q--;
+ for (;;)
+ {
+ if ((t2h < rem) ||
+ ((t2h == rem) && (t2l <= wnump[-2])))
+ break;
+ q--;
+ rem += d0;
+ if (rem < d0) break; /* don't let rem overflow */
+ if (t2l < d1) t2h--; t2l -= d1;
+ }
+#endif /* !BN_LLONG */
}
-#endif
- }
+#endif /* !BN_DIV3W */
+
l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
+ wnum.d--; wnum.top++;
tmp->d[div_n]=l0;
for (j=div_n+1; j>0; j--)
if (tmp->d[j-1]) break;
}
if (rm != NULL)
{
+ /* Keep a copy of the neg flag in num because if rm==num
+ * BN_rshift() will overwrite it.
+ */
+ int neg = num->neg;
BN_rshift(rm,snum,norm_shift);
- rm->neg=num->neg;
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
}
+ BN_CTX_end(ctx);
return(1);
err:
+ BN_CTX_end(ctx);
return(0);
}
#endif
-
-/* rem != m */
-int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx)
- {
-#if 0 /* The old slow way */
- int i,nm,nd;
- BIGNUM *dv;
-
- if (BN_ucmp(m,d) < 0)
- return((BN_copy(rem,m) == NULL)?0:1);
-
- dv= &(ctx->bn[ctx->tos]);
-
- if (!BN_copy(rem,m)) return(0);
-
- nm=BN_num_bits(rem);
- nd=BN_num_bits(d);
- if (!BN_lshift(dv,d,nm-nd)) return(0);
- for (i=nm-nd; i>=0; i--)
- {
- if (BN_cmp(rem,dv) >= 0)
- {
- if (!BN_sub(rem,rem,dv)) return(0);
- }
- if (!BN_rshift1(dv,dv)) return(0);
- }
- return(1);
-#else
- return(BN_div(NULL,rem,m,d,ctx));
-#endif
- }
-
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