/* Test file for mpfr_frac.
Copyright 2002-2017 Free Software Foundation, Inc.
Contributed by the AriC and Caramba projects, INRIA.
This file is part of the GNU MPFR Library.
The GNU 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 3 of the License, or (at your
option) any later version.
The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see
http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include "mpfr-test.h"
#define PIP 70
#define PFP 70
#define PMAX (PIP+2*PFP)
static void
check0 (mpfr_ptr ip, mpfr_ptr fp, mpfr_prec_t prec, mpfr_rnd_t rnd)
{
mpfr_t sum, tmp, dst, fp2;
int inex1, inex2;
mpfr_init2 (sum, PMAX);
mpfr_init2 (tmp, PMAX);
mpfr_init2 (dst, prec);
mpfr_init2 (fp2, prec);
if (MPFR_SIGN (ip) != MPFR_SIGN (fp))
{
printf ("Internal error (1)\n");
exit (1);
}
if (mpfr_add (sum, ip, fp, MPFR_RNDZ))
{
printf ("Wrong inexact flag in mpfr_add\n");
exit (1);
}
if (MPFR_SIGN (sum) != MPFR_SIGN (fp))
{
printf ("Internal error (2)\n");
exit (1);
}
inex1 = mpfr_frac (dst, sum, rnd);
inex2 = mpfr_set (fp2, fp, rnd);
if (inex1 != inex2)
{
printf ("Wrong inexact flag in mpfr_frac for\n");
mpfr_out_str (stdout, 2, 0, sum, MPFR_RNDN);
printf ("\nGot %d instead of %d\n", inex1, inex2);
exit (1);
}
if (!mpfr_number_p (dst) ||
MPFR_SIGN (dst) != MPFR_SIGN (fp2) ||
mpfr_cmp (dst, fp2))
{
printf ("Error in mpfr_frac (y, x, %s) with\nx = ",
mpfr_print_rnd_mode (rnd));
mpfr_out_str (stdout, 2, 0, sum, MPFR_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, dst, MPFR_RNDN);
printf ("\ninstead of ");
mpfr_out_str (stdout, 2, 0, fp2, MPFR_RNDN);
printf ("\n");
exit (1);
}
if (prec == PMAX)
{
inex1 = mpfr_frac (sum, sum, rnd);
if (inex1)
{
printf ("Wrong inexact flag in mpfr_frac\n");
exit (1);
}
if (!mpfr_number_p (sum) ||
MPFR_SIGN (sum) != MPFR_SIGN (fp) ||
mpfr_cmp (sum, fp))
{
printf ("Error in mpfr_frac (x, x, %s) with\nx = ",
mpfr_print_rnd_mode (rnd));
mpfr_add (tmp, ip, fp, MPFR_RNDZ);
mpfr_out_str (stdout, 2, 0, tmp, MPFR_RNDN);
printf ("\nGot ");
mpfr_out_str (stdout, 2, 0, sum, MPFR_RNDN);
printf ("\ninstead of ");
mpfr_out_str (stdout, 2, 0, fp, MPFR_RNDN);
printf ("\n");
exit (1);
}
}
mpfr_clear (fp2);
mpfr_clear (dst);
mpfr_clear (tmp);
mpfr_clear (sum);
}
static void
check1 (mpfr_ptr ip, mpfr_ptr fp)
{
int rnd;
for (rnd = 0; rnd < MPFR_RND_MAX ; rnd++)
{
check0 (ip, fp, PMAX, (mpfr_rnd_t) rnd);
check0 (ip, fp, 70, (mpfr_rnd_t) rnd);
mpfr_neg (fp, fp, MPFR_RNDN);
mpfr_neg (ip, ip, MPFR_RNDN);
check0 (ip, fp, PMAX, (mpfr_rnd_t) rnd);
check0 (ip, fp, 70, (mpfr_rnd_t) rnd);
mpfr_neg (fp, fp, MPFR_RNDN);
mpfr_neg (ip, ip, MPFR_RNDN);
}
}
static void
special (void)
{
mpfr_t z, t;
mpfr_init (z);
mpfr_init (t);
mpfr_set_nan (z);
mpfr_frac (t, z, MPFR_RNDN);
if (!mpfr_nan_p (t))
{
printf ("Error for frac(NaN)\n");
exit (1);
}
mpfr_set_prec (z, 6);
mpfr_set_prec (t, 3);
mpfr_set_str_binary (z, "0.101101E3");
mpfr_frac (t, z, MPFR_RNDN);
mpfr_set_str_binary (z, "0.101");
if (mpfr_cmp (t, z))
{
printf ("Error in frac(0.101101E3)\n");
exit (1);
}
mpfr_set_prec (z, 34);
mpfr_set_prec (t, 26);
mpfr_set_str_binary (z, "0.101101010000010011110011001101E9");
mpfr_frac (t, z, MPFR_RNDN);
mpfr_set_str_binary (z, "0.000010011110011001101");
if (mpfr_cmp (t, z))
{
printf ("Error in frac(0.101101010000010011110011001101E9)\n");
exit (1);
}
mpfr_clear (z);
mpfr_clear (t);
}
static void
bug20090918 (void)
{
mpfr_t x, y, z;
mp_limb_t y0;
int inexy, inexz;
int r, i;
const char *s[] = { "61680.352935791015625", "61680.999999" };
mpfr_exp_t emin;
emin = mpfr_get_emin ();
mpfr_init2 (x, 32);
mpfr_init2 (y, 13);
for (i = 0; i <= 9; i++)
{
mpfr_set_str (x, s[i & 1], 10, MPFR_RNDZ);
RND_LOOP(r)
{
set_emin ((i >> 1) - 3);
inexy = mpfr_frac (y, x, (mpfr_rnd_t) r);
set_emin (emin);
y0 = MPFR_MANT(y)[0];
while (y0 != 0 && (y0 >> 1) << 1 == y0)
y0 >>= 1;
if (y0 > 0x2000)
{
printf ("Error in bug20090918 (significand has more than"
" 13 bits), i = %d, %s.\n", i,
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
exit (1);
}
mpfr_init2 (z, 32);
inexz = mpfr_frac (z, x, MPFR_RNDN);
MPFR_ASSERTN (inexz == 0); /* exact */
inexz = mpfr_prec_round (z, 13, (mpfr_rnd_t) r);
set_emin ((i >> 1) - 3);
inexz = mpfr_check_range (z, inexz, (mpfr_rnd_t) r);
set_emin (emin);
if (mpfr_cmp0 (y, z) != 0)
{
printf ("Error in bug20090918, i = %d, %s.\n", i,
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
printf ("Expected ");
mpfr_dump (z);
printf ("Got ");
mpfr_dump (y);
exit (1);
}
if (! SAME_SIGN (inexy, inexz))
{
printf ("Incorrect ternary value in bug20090918, i = %d, %s.\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) r));
printf ("Expected %d, got %d.\n", inexz, inexy);
exit (1);
}
mpfr_clear (z);
}
}
mpfr_clear (x);
mpfr_clear (y);
}
#define TEST_FUNCTION mpfr_frac
#include "tgeneric.c"
int
main (void)
{
mpfr_t ip, fp;
int ni, nf1, nf2;
tests_start_mpfr ();
special ();
mpfr_init2 (ip, PIP);
mpfr_init2 (fp, PFP);
for (ni = -1; ni < PIP; ni++)
{
if (ni <= 0)
{ /* ni + 1 */
mpfr_set_si (ip, ni, MPFR_RNDN);
mpfr_add_ui (ip, ip, 1, MPFR_RNDN);
}
else
{ /* 2^ni + 1 */
mpfr_set_ui (ip, 1, MPFR_RNDN);
mpfr_mul_2ui (ip, ip, ni, MPFR_RNDN);
mpfr_add_ui (ip, ip, 1, MPFR_RNDN);
}
mpfr_set_ui (fp, 0, MPFR_RNDN);
check1 (ip, fp);
for (nf1 = 1; nf1 < PFP; nf1++)
{
mpfr_set_ui (fp, 1, MPFR_RNDN);
mpfr_div_2ui (fp, fp, nf1, MPFR_RNDN);
check1 (ip, fp);
nf2 = 1 + (randlimb () % (PFP - 1));
mpfr_set_ui (fp, 1, MPFR_RNDN);
mpfr_div_2ui (fp, fp, nf2, MPFR_RNDN);
mpfr_add_ui (fp, fp, 1, MPFR_RNDN);
mpfr_div_2ui (fp, fp, nf1, MPFR_RNDN);
check1 (ip, fp);
}
}
mpfr_set_ui (ip, 1, MPFR_RNDN);
mpfr_div_ui (ip, ip, 0, MPFR_RNDN);
mpfr_set_ui (fp, 0, MPFR_RNDN);
check1 (ip, fp); /* test infinities */
mpfr_clear (ip);
mpfr_clear (fp);
bug20090918 ();
test_generic (2, 1000, 10);
tests_end_mpfr ();
return 0;
}