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/* mpfr_div_ui -- divide a floating-point number by a machine integer
Copyright (C) 1999 PolKA project, Inria Lorraine and Loria
This file is part of the MPFR Library.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Library General Public License as published by
the Free Software Foundation; either version 2 of the License, or (at your
option) any later version.
The MPFR Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public
License for more details.
You should have received a copy of the GNU Library General Public License
along with the MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include <stdio.h>
#include "gmp.h"
#if (__GNU_MP_VERSION < 3)
/* longlong.h has to come before gmp-impl.h,
otherwise UDIV_NEEDS_NORMALIZATION is wrongly defined */
#include "longlong.h"
#include "gmp-impl.h"
#else
#include "gmp-impl.h"
#include "longlong.h"
#endif
#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 int u, mp_rnd_t rnd_mode)
#else
mpfr_div_ui(y, x, u, rnd_mode)
mpfr_ptr y;
mpfr_srcptr x;
unsigned long int u;
mp_rnd_t 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) { fprintf(stderr, "division by zero\n"); exit(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 (MPFR_SIGN(x) * MPFR_SIGN(y) < 0) CHANGE_SIGN(y);
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 */
/* don't use tmp=yp since the mpn_lshift call below requires yp >= tmp+1 */
tmp=TMP_ALLOC((yn+1)*BYTES_PER_MP_LIMB);
c = (mp_limb_t) u;
if (dif>=0) {
#if (__GNU_MP_VERSION < 3) && (UDIV_NEEDS_NORMALIZATION==1)
/* patch for bug in mpn_divrem_1 for GMP 2.xxx */
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);
if (tmp[yn]==0) { tmp--; sh=0; EXP(y) -= BITS_PER_MP_LIMB; }
/* 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 (MPFR_SIGN(y)>0) mpfr_add_one_ulp(y);
return 1; /* result is inexact */
case GMP_RNDD:
if (MPFR_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 */
}
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