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/* Test file for mpfr_div_ui.
Copyright 1999, 2000, 2001, 2002, 2003 Free Software Foundation.
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 Lesser General Public License as published by
the Free Software Foundation; either version 2.1 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser 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 <stdlib.h>
#include <float.h>
#include <time.h>
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-test.h"
static void
check (double d, unsigned long u, mp_rnd_t rnd, double e)
{
mpfr_t x, y;
double f;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
mpfr_set_d (x, d, rnd);
mpfr_div_ui (y, x, u, rnd);
f = mpfr_get_d1 (y);
if (f != e && !(Isnan(f) && Isnan(e)))
{
printf ("mpfr_div_ui failed for x=%1.20e, u=%lu, rnd=%s\n", d, u,
mpfr_print_rnd_mode (rnd));
printf ("expected result is %1.20e, got %1.20e, dif=%d ulp\n",
e, f, ulp (e,f));
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
special (void)
{
mpfr_t x, y;
unsigned xprec, yprec;
mpfr_init (x);
mpfr_init (y);
mpfr_set_prec (x, 32);
mpfr_set_prec (y, 32);
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_div_ui (y, x, 3, GMP_RNDN);
mpfr_set_prec (x, 100);
mpfr_set_prec (y, 100);
mpfr_random (x);
mpfr_div_ui (y, x, 123456, GMP_RNDN);
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_div_ui (y, x, 123456789, GMP_RNDN);
if (mpfr_cmp_ui (y, 0))
{
printf ("mpfr_div_ui gives non-zero for 0/ui\n");
exit (1);
}
/* bug found by Norbert Mueller, 21 Aug 2001 */
mpfr_set_prec (x, 110);
mpfr_set_prec (y, 60);
mpfr_set_str_raw (x, "0.110101110011111110011111001110011001110111000000111110001000111011000011E-44");
mpfr_div_ui (y, x, 17, GMP_RNDN);
mpfr_set_str_raw (x, "0.11001010100101100011101110000001100001010110101001010011011E-48");
if (mpfr_cmp (x, y))
{
printf ("Error in x/17 for x=1/16!\n");
printf ("Expected ");
mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
printf ("\n");
exit (1);
}
for (xprec = 53; xprec <= 128; xprec++)
{
mpfr_set_prec (x, xprec);
mpfr_set_str_raw (x, "0.1100100100001111110011111000000011011100001100110111E2");
for (yprec = 53; yprec <= 128; yprec++)
{
mpfr_set_prec (y, yprec);
mpfr_div_ui (y, x, 1, GMP_RNDN);
if (mpfr_get_d1 (x) != mpfr_get_d1 (y))
{
printf ("division by 1.0 fails for xprec=%u, yprec=%u\n", xprec, yprec);
printf ("expected "); mpfr_print_binary (x); puts ("");
printf ("got "); mpfr_print_binary (y); puts ("");
exit (1);
}
}
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check_inexact (void)
{
mpfr_t x, y, z;
mp_prec_t px, py;
int inexact, cmp;
unsigned long int u;
mp_rnd_t rnd;
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
for (px=2; px<300; px++)
{
mpfr_set_prec (x, px);
mpfr_random (x);
do
{
u = randlimb ();
}
while (u == 0);
for (py=2; py<300; py++)
{
mpfr_set_prec (y, py);
mpfr_set_prec (z, py + mp_bits_per_limb);
for (rnd=0; rnd<4; rnd++)
{
inexact = mpfr_div_ui (y, x, u, rnd);
if (mpfr_mul_ui (z, y, u, rnd))
{
printf ("z <- y * u should be exact for u=%lu\n", u);
printf ("y="); mpfr_print_binary (y); puts ("");
printf ("z="); mpfr_print_binary (z); puts ("");
exit (1);
}
cmp = mpfr_cmp (z, x);
if (((inexact == 0) && (cmp != 0)) ||
((inexact > 0) && (cmp <= 0)) ||
((inexact < 0) && (cmp >= 0)))
{
printf ("Wrong inexact flag for u=%lu, rnd=%s\n", u,
mpfr_print_rnd_mode(rnd));
printf ("x="); mpfr_print_binary (x); puts ("");
printf ("y="); mpfr_print_binary (y); puts ("");
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
int
main (int argc, char **argv)
{
mpfr_t x;
tests_start_mpfr ();
check_inexact ();
special ();
check(1.0, 3, GMP_RNDN, 3.3333333333333331483e-1);
check(1.0, 3, GMP_RNDZ, 3.3333333333333331483e-1);
check(1.0, 3, GMP_RNDU, 3.3333333333333337034e-1);
check(1.0, 3, GMP_RNDD, 3.3333333333333331483e-1);
check(1.0, 2116118, GMP_RNDN, 4.7256343927890600483e-7);
check(1.098612288668109782, 5, GMP_RNDN, 0.21972245773362195087);
mpfr_init2(x, 100);
mpfr_set_prec(x, 53);
mpfr_set_ui(x, 3, GMP_RNDD);
mpfr_log(x, x, GMP_RNDD);
mpfr_div_ui(x, x, 5, GMP_RNDD);
if (mpfr_get_d1 (x) != 0.21972245773362189536)
{
printf ("Error in mpfr_div_ui for x=ln(3), u=5\n");
exit (1);
}
mpfr_clear(x);
tests_end_mpfr ();
return 0;
}
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