- BN_CTX *ctx)
- {
- int norm_shift,i,j,loop;
- BIGNUM *tmp,wnum,*snum,*sdiv,*res;
- BN_ULONG *resp,*wnump;
- BN_ULONG d0,d1;
- int num_n,div_n;
-
- bn_check_top(num);
- bn_check_top(divisor);
-
- if (BN_is_zero(divisor))
- {
- BNerr(BN_F_BN_DIV,BN_R_DIV_BY_ZERO);
- return(0);
- }
-
- if (BN_ucmp(num,divisor) < 0)
- {
- if (rm != NULL)
- { if (BN_copy(rm,num) == NULL) return(0); }
- if (dv != NULL) BN_zero(dv);
- return(1);
- }
-
- BN_CTX_start(ctx);
- tmp=BN_CTX_get(ctx);
- snum=BN_CTX_get(ctx);
- sdiv=BN_CTX_get(ctx);
- if (dv == NULL)
- 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);
- if (!(BN_lshift(sdiv,divisor,norm_shift))) goto err;
- sdiv->neg=0;
- norm_shift+=BN_BITS2;
- if (!(BN_lshift(snum,num,norm_shift))) goto err;
- snum->neg=0;
- div_n=sdiv->top;
- num_n=snum->top;
- loop=num_n-div_n;
-
- /* Lets setup a 'window' into snum
- * This is the part that corresponds to the current
- * 'area' being divided */
- BN_init(&wnum);
- wnum.d= &(snum->d[loop]);
- wnum.top= div_n;
- wnum.dmax= snum->dmax+1; /* a bit of a lie */
-
- /* Get the top 2 words of sdiv */
- /* i=sdiv->top; */
- d0=sdiv->d[div_n-1];
- d1=(div_n == 1)?0:sdiv->d[div_n-2];
-
- /* pointer to the 'top' of snum */
- wnump= &(snum->d[num_n-1]);
-
- /* Setup to 'res' */
- res->neg= (num->neg^divisor->neg);
- if (!bn_wexpand(res,(loop+1))) goto err;
- res->top=loop;
- resp= &(res->d[loop-1]);
-
- /* space for temp */
- if (!bn_wexpand(tmp,(div_n+1))) goto err;
-
- if (BN_ucmp(&wnum,sdiv) >= 0)
- {
- if (!BN_usub(&wnum,&wnum,sdiv)) goto err;
- *resp=1;
- res->d[res->top-1]=1;
- }
- else
- res->top--;
- if (res->top == 0)
- res->neg = 0;
- resp--;
-
- for (i=0; i<loop-1; i++)
- {
- 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;
-
- n0=wnump[0];
- n1=wnump[-1];
- if (n0 == d0)
- q=BN_MASK2;
- 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;
-
- 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
-
-#if defined(BN_UMULT_LOHI)
- BN_UMULT_LOHI(t2l,t2h,d1,q);
-#elif defined(BN_UMULT_HIGH)
- t2l = d1 * q;
- t2h = BN_UMULT_HIGH(d1,q);
-#else
- t2l=LBITS(d1); t2h=HBITS(d1);
- ql =LBITS(q); qh =HBITS(q);
- mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
-#endif
-
- 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 /* !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;
- tmp->top=j;
-
- j=wnum.top;
- if (!BN_sub(&wnum,&wnum,tmp)) goto err;
-
- snum->top=snum->top+wnum.top-j;
-
- if (wnum.neg)
- {
- q--;
- j=wnum.top;
- if (!BN_add(&wnum,&wnum,sdiv)) goto err;
- snum->top+=wnum.top-j;
- }
- *(resp--)=q;
- wnump--;
- }
- 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);
- if (!BN_is_zero(rm))
- rm->neg = neg;
- }
- BN_CTX_end(ctx);
- return(1);
-err:
- BN_CTX_end(ctx);
- return(0);
- }
-
+ BN_CTX *ctx)
+{
+ int norm_shift, i, loop;
+ BIGNUM *tmp, wnum, *snum, *sdiv, *res;
+ BN_ULONG *resp, *wnump;
+ BN_ULONG d0, d1;
+ int num_n, div_n;
+ int no_branch = 0;
+
+ /*
+ * Invalid zero-padding would have particularly bad consequences so don't
+ * just rely on bn_check_top() here (bn_check_top() works only for
+ * BN_DEBUG builds)
+ */
+ if ((num->top > 0 && num->d[num->top - 1] == 0) ||
+ (divisor->top > 0 && divisor->d[divisor->top - 1] == 0)) {
+ BNerr(BN_F_BN_DIV, BN_R_NOT_INITIALIZED);
+ return 0;
+ }
+
+ bn_check_top(num);
+ bn_check_top(divisor);
+
+ if ((BN_get_flags(num, BN_FLG_CONSTTIME) != 0)
+ || (BN_get_flags(divisor, BN_FLG_CONSTTIME) != 0)) {
+ no_branch = 1;
+ }
+
+ bn_check_top(dv);
+ bn_check_top(rm);
+ /*- bn_check_top(num); *//*
+ * 'num' has been checked already
+ */
+ /*- bn_check_top(divisor); *//*
+ * 'divisor' has been checked already
+ */
+
+ if (BN_is_zero(divisor)) {
+ BNerr(BN_F_BN_DIV, BN_R_DIV_BY_ZERO);
+ return (0);
+ }
+
+ if (!no_branch && BN_ucmp(num, divisor) < 0) {
+ if (rm != NULL) {
+ if (BN_copy(rm, num) == NULL)
+ return (0);
+ }
+ if (dv != NULL)
+ BN_zero(dv);
+ return (1);
+ }
+
+ BN_CTX_start(ctx);
+ tmp = BN_CTX_get(ctx);
+ snum = BN_CTX_get(ctx);
+ sdiv = BN_CTX_get(ctx);
+ if (dv == NULL)
+ res = BN_CTX_get(ctx);
+ else
+ res = dv;
+ if (sdiv == NULL || res == NULL || tmp == NULL || snum == NULL)
+ goto err;
+
+ /* First we normalise the numbers */
+ norm_shift = BN_BITS2 - ((BN_num_bits(divisor)) % BN_BITS2);
+ if (!(BN_lshift(sdiv, divisor, norm_shift)))
+ goto err;
+ sdiv->neg = 0;
+ norm_shift += BN_BITS2;
+ if (!(BN_lshift(snum, num, norm_shift)))
+ goto err;
+ snum->neg = 0;
+
+ if (no_branch) {
+ /*
+ * Since we don't know whether snum is larger than sdiv, we pad snum
+ * with enough zeroes without changing its value.
+ */
+ if (snum->top <= sdiv->top + 1) {
+ if (bn_wexpand(snum, sdiv->top + 2) == NULL)
+ goto err;
+ for (i = snum->top; i < sdiv->top + 2; i++)
+ snum->d[i] = 0;
+ snum->top = sdiv->top + 2;
+ } else {
+ if (bn_wexpand(snum, snum->top + 1) == NULL)
+ goto err;
+ snum->d[snum->top] = 0;
+ snum->top++;
+ }
+ }
+
+ div_n = sdiv->top;
+ num_n = snum->top;
+ loop = num_n - div_n;
+ /*
+ * Lets setup a 'window' into snum This is the part that corresponds to
+ * the current 'area' being divided
+ */
+ wnum.neg = 0;
+ wnum.d = &(snum->d[loop]);
+ wnum.top = div_n;
+ /*
+ * only needed when BN_ucmp messes up the values between top and max
+ */
+ wnum.dmax = snum->dmax - loop; /* so we don't step out of bounds */
+
+ /* Get the top 2 words of sdiv */
+ /* div_n=sdiv->top; */
+ d0 = sdiv->d[div_n - 1];
+ d1 = (div_n == 1) ? 0 : sdiv->d[div_n - 2];
+
+ /* pointer to the 'top' of snum */
+ wnump = &(snum->d[num_n - 1]);
+
+ /* Setup to 'res' */
+ if (!bn_wexpand(res, (loop + 1)))
+ goto err;
+ res->neg = (num->neg ^ divisor->neg);
+ res->top = loop - no_branch;
+ resp = &(res->d[loop - 1]);
+
+ /* space for temp */
+ if (!bn_wexpand(tmp, (div_n + 1)))
+ goto err;
+
+ if (!no_branch) {
+ if (BN_ucmp(&wnum, sdiv) >= 0) {
+ /*
+ * If BN_DEBUG_RAND is defined BN_ucmp changes (via bn_pollute)
+ * the const bignum arguments => clean the values between top and
+ * max again
+ */
+ bn_clear_top2max(&wnum);
+ bn_sub_words(wnum.d, wnum.d, sdiv->d, div_n);
+ *resp = 1;
+ } else
+ res->top--;
+ }
+
+ /* Increase the resp pointer so that we never create an invalid pointer. */
+ resp++;
+
+ /*
+ * if res->top == 0 then clear the neg value otherwise decrease the resp
+ * pointer
+ */
+ if (res->top == 0)
+ res->neg = 0;
+ else
+ resp--;
+
+ for (i = 0; i < loop - 1; i++, wnump--) {
+ BN_ULONG q, l0;
+ /*
+ * the first part of the loop uses the top two words of snum and sdiv
+ * to calculate a BN_ULONG q such that | wnum - sdiv * q | < sdiv
+ */
+# 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;
+
+ n0 = wnump[0];
+ n1 = wnump[-1];
+ if (n0 == d0)
+ q = BN_MASK2;
+ 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;
+
+ 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;
+
+ q = bn_div_words(n0, n1, d0);
+# ifndef REMAINDER_IS_ALREADY_CALCULATED
+ rem = (n1 - q * d0) & BN_MASK2;
+# endif
+
+# if defined(BN_UMULT_LOHI)
+ BN_UMULT_LOHI(t2l, t2h, d1, q);
+# elif defined(BN_UMULT_HIGH)
+ t2l = d1 * q;
+ t2h = BN_UMULT_HIGH(d1, q);
+# else
+ {
+ BN_ULONG ql, qh;
+ t2l = LBITS(d1);
+ t2h = HBITS(d1);
+ ql = LBITS(q);
+ qh = HBITS(q);
+ mul64(t2l, t2h, ql, qh); /* t2=(BN_ULLONG)d1*q; */
+ }
+# endif
+
+ 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 /* !BN_DIV3W */
+
+ l0 = bn_mul_words(tmp->d, sdiv->d, div_n, q);
+ tmp->d[div_n] = l0;
+ wnum.d--;
+ /*
+ * ingore top values of the bignums just sub the two BN_ULONG arrays
+ * with bn_sub_words
+ */
+ if (bn_sub_words(wnum.d, wnum.d, tmp->d, div_n + 1)) {
+ /*
+ * Note: As we have considered only the leading two BN_ULONGs in
+ * the calculation of q, sdiv * q might be greater than wnum (but
+ * then (q-1) * sdiv is less or equal than wnum)
+ */
+ q--;
+ if (bn_add_words(wnum.d, wnum.d, sdiv->d, div_n))
+ /*
+ * we can't have an overflow here (assuming that q != 0, but
+ * if q == 0 then tmp is zero anyway)
+ */
+ (*wnump)++;
+ }
+ /* store part of the result */
+ resp--;
+ *resp = q;
+ }
+ bn_correct_top(snum);
+ 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);
+ if (!BN_is_zero(rm))
+ rm->neg = neg;
+ bn_check_top(rm);
+ }
+ if (no_branch)
+ bn_correct_top(res);
+ BN_CTX_end(ctx);
+ return (1);
+ err:
+ bn_check_top(rm);
+ BN_CTX_end(ctx);
+ return (0);
+}