#include #include "gmp.h" #include "gmp-impl.h" #include "longlong.h" #include "mpfr.h" /* #define DEBUG */ /* returns 0 if result exact, non-zero otherwise */ int #ifdef __STDC__ mpfr_div_ui(mpfr_ptr y, mpfr_srcptr x, unsigned long u, unsigned char rnd_mode) #else mpfr_div_ui(y, x, u, rnd_mode) mpfr_ptr y; mpfr_srcptr x; unsigned long u; unsigned char rnd_mode; #endif { int xn, yn, dif, sh, i; mp_limb_t *xp, *yp, *tmp, c, d; TMP_DECL(marker); if (FLAG_NAN(x)) { SET_NAN(y); return 1; } if (u==0) { printf("infinity\n"); return 1; } TMP_MARK(marker); xn = (PREC(x)-1)/BITS_PER_MP_LIMB + 1; yn = (PREC(y)-1)/BITS_PER_MP_LIMB + 1; xp = MANT(x); yp = MANT(y); EXP(y) = EXP(x); if (SIGN(x)!=SIGN(y)) CHANGE_SIGN(y); /* save limb yp[-1] that will be used to store an extra limb of the quotient */ dif = yn+1-xn; #ifdef DEBUG printf("dif=%d u=%lu xn=%d\n",dif,u,xn); printf("x="); mpfr_print_raw(x); putchar('\n'); #endif /* we need to store yn+1 = xn + dif limbs of the quotient */ if (ABSSIZE(y)>=yn+1) tmp=yp; else tmp=TMP_ALLOC((yn+1)*BYTES_PER_MP_LIMB); c = (mp_limb_t) u; if (dif>=0) { /* patch for bug in mpn_divrem_1 */ #if (UDIV_NEEDS_NORMALIZATION==1) count_leading_zeros(sh, c); c <<= sh; EXP(y) += sh; #endif c = mpn_divrem_1(tmp, dif, xp, xn, c); } else /* dif < 0 i.e. xn > yn */ c = mpn_divrem_1(tmp, 0, xp-dif, yn, c); /* shift left to normalize */ count_leading_zeros(sh, tmp[yn]); if (sh) { mpn_lshift(yp, tmp+1, yn, sh); yp[0] += tmp[0] >> (BITS_PER_MP_LIMB-sh); EXP(y) -= sh; } else MPN_COPY(yp, tmp+1, yn); #ifdef DEBUG printf("y="); mpfr_print_raw(y); putchar('\n'); #endif sh = yn*BITS_PER_MP_LIMB - PREC(y); /* it remains sh bits in less significant limb of y */ d = *yp & (((mp_limb_t)1 << sh) - 1); *yp ^= d; /* set to zero lowest sh bits */ TMP_FREE(marker); if ((c | d)==0) { for (i=0; i<-dif && xp[i]==0; i++); if (i>=-dif) return 0; /* result is exact */ } switch (rnd_mode) { case GMP_RNDZ: return 1; /* result is inexact */ case GMP_RNDU: if (SIGN(y)>0) mpfr_add_one_ulp(y); return 1; /* result is inexact */ case GMP_RNDD: if (SIGN(y)<0) mpfr_add_one_ulp(y); return 1; /* result is inexact */ case GMP_RNDN: if (d < ((mp_limb_t)1 << (sh-1))) return 1; else if (d > ((mp_limb_t)1 << (sh-1))) { mpfr_add_one_ulp(y); } else { /* d = (mp_limb_t)1 << (sh-1) */ if (c) mpfr_add_one_ulp(y); else { for (i=0; i<-dif && xp[i]==0; i++); if (i<-dif) mpfr_add_one_ulp(y); else { /* exactly in the middle */ if (*yp & ((mp_limb_t)1 << sh)) mpfr_add_one_ulp(y); } } } return 1; } return 0; /* to prevent warning from gcc */ }