BN_div bugfix. The q-- loop should not be entered in the n0==d0 case.
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@ -4,6 +4,10 @@
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Changes between 0.9.4 and 0.9.5 [xx XXX 2000]
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Changes between 0.9.4 and 0.9.5 [xx XXX 2000]
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*) Bug fix for BN_div() when the first words of num and divsor are
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equal (it gave wrong results if (rem=(n1-q*d0)&BN_MASK2) < d0).
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[Ulf Möller]
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*) Add support for various broken PKCS#8 formats, and command line
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*) Add support for various broken PKCS#8 formats, and command line
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options to produce them.
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options to produce them.
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[Steve Henson]
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[Steve Henson]
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@ -62,7 +62,7 @@
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#include "bn_lcl.h"
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#include "bn_lcl.h"
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/* The old slow way */
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/* The old slow way */
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#if 1
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#if 0
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int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
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int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
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BN_CTX *ctx)
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BN_CTX *ctx)
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{
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{
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@ -126,6 +126,32 @@ int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
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#else
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#else
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#if !defined(NO_ASM) && !defined(PEDANTIC) && !defined(BN_DIV3W)
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# if defined(__GNUC__) && __GNUC__>=2
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# if defined(__i386)
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/*
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* There were two reasons for implementing this template:
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* - GNU C generates a call to a function (__udivdi3 to be exact)
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* in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to
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* understand why...);
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* - divl doesn't only calculate quotient, but also leaves
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* remainder in %edx which we can definitely use here:-)
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*
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* <appro@fy.chalmers.se>
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*/
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# define bn_div_words(n0,n1,d0) \
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({ asm volatile ( \
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"divl %4" \
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: "=a"(q), "=d"(rem) \
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: "a"(n1), "d"(n0), "g"(d0) \
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: "cc"); \
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q; \
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})
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# define REMAINDER_IS_ALREADY_CALCULATED
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# endif /* __<cpu> */
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# endif /* __GNUC__ */
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#endif /* NO_ASM */
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int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
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int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
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BN_CTX *ctx)
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BN_CTX *ctx)
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{
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{
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@ -214,103 +240,72 @@ int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
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#ifdef BN_DIV3W
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#ifdef BN_DIV3W
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q=bn_div_3_words(wnump,d1,d0);
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q=bn_div_3_words(wnump,d1,d0);
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#else
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#else
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#if !defined(NO_ASM) && !defined(PEDANTIC)
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# if defined(__GNUC__) && __GNUC__>=2
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# if defined(__i386)
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/*
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* There were two reasons for implementing this template:
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* - GNU C generates a call to a function (__udivdi3 to be exact)
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* in reply to ((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0 (I fail to
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* understand why...);
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* - divl doesn't only calculate quotient, but also leaves
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* remainder in %edx which we can definitely use here:-)
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*
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* <appro@fy.chalmers.se>
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*/
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# define bn_div_words(n0,n1,d0) \
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({ asm volatile ( \
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"divl %4" \
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: "=a"(q), "=d"(rem) \
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: "a"(n1), "d"(n0), "g"(d0) \
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: "cc"); \
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q; \
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})
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# define REMAINDER_IS_ALREADY_CALCULATED
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# endif /* __<cpu> */
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# endif /* __GNUC__ */
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#endif /* NO_ASM */
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BN_ULONG n0,n1,rem=0;
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BN_ULONG n0,n1,rem=0;
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n0=wnump[0];
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n0=wnump[0];
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n1=wnump[-1];
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n1=wnump[-1];
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if (n0 == d0)
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if (n0 == d0)
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{
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q=BN_MASK2;
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q=BN_MASK2;
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#ifdef REMAINDER_IS_ALREADY_CALCULATED /* in this case it isn't */
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else /* n0 < d0 */
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rem=(n1-q*d0)&BN_MASK2;
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{
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#endif
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#ifdef BN_LLONG
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}
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BN_ULLONG t2;
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else /* n0 < d0 */
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#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
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#if defined(BN_LLONG) && defined(BN_DIV2W) && !defined(bn_div_words)
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q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
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q=(BN_ULONG)(((((BN_ULLONG)n0)<<BN_BITS2)|n1)/d0);
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#else
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#else
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q=bn_div_words(n0,n1,d0);
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q=bn_div_words(n0,n1,d0);
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#endif
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#endif
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{
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#ifdef BN_LLONG
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BN_ULLONG t2;
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#ifndef REMAINDER_IS_ALREADY_CALCULATED
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#ifndef REMAINDER_IS_ALREADY_CALCULATED
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/*
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/*
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* rem doesn't have to be BN_ULLONG. The least we
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* rem doesn't have to be BN_ULLONG. The least we
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* know it's less that d0, isn't it?
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* know it's less that d0, isn't it?
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*/
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*/
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rem=(n1-q*d0)&BN_MASK2;
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rem=(n1-q*d0)&BN_MASK2;
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#endif
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#endif
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t2=(BN_ULLONG)d1*q;
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t2=(BN_ULLONG)d1*q;
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for (;;)
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for (;;)
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{
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{
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if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
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if (t2 <= ((((BN_ULLONG)rem)<<BN_BITS2)|wnump[-2]))
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break;
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break;
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q--;
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q--;
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rem += d0;
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rem += d0;
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if (rem < d0) break; /* don't let rem overflow */
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if (rem < d0) break; /* don't let rem overflow */
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t2 -= d1;
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t2 -= d1;
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}
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}
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#else
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#else /* !BN_LLONG */
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BN_ULONG t2l,t2h,ql,qh;
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BN_ULONG t2l,t2h,ql,qh;
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q=bn_div_words(n0,n1,d0);
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#ifndef REMAINDER_IS_ALREADY_CALCULATED
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#ifndef REMAINDER_IS_ALREADY_CALCULATED
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/*
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rem=(n1-q*d0)&BN_MASK2;
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* It's more than enough with the only multiplication.
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* See the comment above in BN_LLONG section...
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*/
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rem=(n1-q*d0)&BN_MASK2;
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#endif
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#endif
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#ifdef BN_UMULT_HIGH
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#ifdef BN_UMULT_HIGH
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t2l = d1 * q;
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t2l = d1 * q;
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t2h = BN_UMULT_HIGH(d1,q);
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t2h = BN_UMULT_HIGH(d1,q);
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#else
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#else
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t2l=LBITS(d1); t2h=HBITS(d1);
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t2l=LBITS(d1); t2h=HBITS(d1);
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ql =LBITS(q); qh =HBITS(q);
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ql =LBITS(q); qh =HBITS(q);
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mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
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mul64(t2l,t2h,ql,qh); /* t2=(BN_ULLONG)d1*q; */
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#endif
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#endif
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for (;;)
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for (;;)
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{
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{
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if ((t2h < rem) ||
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if ((t2h < rem) ||
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((t2h == rem) && (t2l <= wnump[-2])))
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((t2h == rem) && (t2l <= wnump[-2])))
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break;
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break;
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q--;
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q--;
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rem += d0;
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rem += d0;
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if (rem < d0) break; /* don't let rem overflow */
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if (rem < d0) break; /* don't let rem overflow */
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if (t2l < d1) t2h--; t2l -= d1;
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if (t2l < d1) t2h--; t2l -= d1;
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}
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#endif /* !BN_LLONG */
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}
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}
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#endif
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}
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#endif /* !BN_DIV3W */
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#endif /* !BN_DIV3W */
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l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
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l0=bn_mul_words(tmp->d,sdiv->d,div_n,q);
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wnum.d--; wnum.top++;
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wnum.d--; wnum.top++;
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tmp->d[div_n]=l0;
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tmp->d[div_n]=l0;
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@ -341,7 +336,7 @@ int BN_div(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num, const BIGNUM *divisor,
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BN_CTX_end(ctx);
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BN_CTX_end(ctx);
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return(1);
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return(1);
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err:
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err:
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BN_CX_end(ctx);
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BN_CTX_end(ctx);
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return(0);
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return(0);
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}
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}
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