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/* Test file for mpfr_ui_pow.
Copyright 2001, 2002, 2003 Free Software Foundation.
Adapted from tarctan.c.
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 <limits.h>
#include "mpfr-test.h"
static void
test1 (void)
{
mpfr_t x, y;
mpfr_init2 (x, 32);
mpfr_init2 (y, 65);
mpfr_set_str_binary (x, "-0.101110001001011011011e-9");
mpfr_ui_pow (y, 7, x, GMP_RNDN);
mpfr_set_prec (x, 40);
mpfr_set_str_binary (x, "-0.1100101100101111011001010010110011110110E-1");
mpfr_set_prec (y, 74);
mpfr_ui_pow (y, 8, x, GMP_RNDN);
mpfr_set_prec (x, 74);
mpfr_set_str_binary (x, "0.11100000010100111101000011111011011010011000011000101011010011010101000011E-1");
if (mpfr_cmp (x, y))
{
printf ("Error for input of 40 bits, output of 74 bits\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
static void
check1 (mpfr_ptr x, mp_prec_t prec, unsigned long nt, mp_rnd_t rnd)
{
mpfr_t y, z, t;
int inexact, compare, compare2;
mp_prec_t yprec;
mp_exp_t err;
yprec = prec + 10;
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
mpfr_set_prec (y, yprec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
compare = mpfr_ui_pow (y, nt, x, rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_set (t, y, rnd);
inexact = mpfr_ui_pow (z, nt, x, rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" n=%lu", nt);
printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
mpfr_print_rnd_mode (rnd));
printf ("got ");
mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
puts ("");
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
puts ("");
printf ("approx ");
mpfr_print_binary (y);
puts ("");
exit (1);
}
compare2 = mpfr_cmp (t, y);
/* if rounding to nearest, cannot know the sign of t - f(x)
because of composed rounding: y = o(f(x)) and t = o(y) */
if ((rnd != GMP_RNDN) && (compare * compare2 >= 0))
compare = compare + compare2;
else
compare = inexact; /* cannot determine sign(t-f(x)) */
if (((inexact == 0) && (compare != 0)) ||
((inexact > 0) && (compare <= 0)) ||
((inexact < 0) && (compare >= 0)))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf ("x="); mpfr_print_binary (x); puts ("");
printf ("y="); mpfr_print_binary (y); puts ("");
printf ("t="); mpfr_print_binary (t); puts ("");
exit (1);
}
}
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
}
int
main (int argc, char *argv[])
{
mpfr_t x, y;
unsigned long int n;
tests_start_mpfr ();
mpfr_init (x);
mpfr_init (y);
n = randlimb ();
MPFR_SET_INF(x);
mpfr_ui_pow (y, n, x, GMP_RNDN);
if(!MPFR_IS_INF(y))
{
printf ("evaluation of function in INF does not return INF\n");
exit (1);
}
MPFR_CHANGE_SIGN(x);
mpfr_ui_pow (y, n, x, GMP_RNDN);
if(!MPFR_IS_ZERO(y))
{
printf ("evaluation of function in -INF does not return 0");
exit (1);
}
MPFR_SET_NAN(x);
mpfr_ui_pow (y, n, x, GMP_RNDN);
if(!MPFR_IS_NAN(y))
{
printf ("evaluation of function in NAN does not return NAN");
exit (1);
}
test1 ();
{
mpfr_t z, t;
mp_prec_t prec;
mp_rnd_t rnd;
unsigned int n;
mp_prec_t p0=2, p1=100;
unsigned int N=20;
mpfr_init2 (z, 38);
mpfr_init2 (t, 6);
/* check exact power */
mpfr_set_str_binary (t, "0.110000E5");
mpfr_ui_pow (z, 3, t, GMP_RNDN);
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_str (x, "-0.5", 10, GMP_RNDZ);
mpfr_ui_pow (y, 4, x, GMP_RNDD);
if (mpfr_cmp_ui_2exp(y, 1, -1))
{
fprintf (stderr, "Error for 4^(-0.5), prec=2, GMP_RNDD\n");
fprintf (stderr, "expected 0.5, got ");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\n");
exit (1);
}
/* problem found by Kevin on spe175.testdrive.compaq.com
(03 Sep 2003) */
mpfr_set_prec (x, 2);
mpfr_set_prec (y, 2);
mpfr_set_str (x, "0.5", 10, GMP_RNDN);
mpfr_ui_pow (y, 398441521, x, GMP_RNDN);
if (mpfr_cmp_ui_2exp(y, 1, 14))
{
fprintf (stderr, "Error for 398441521^(0.5), prec=2, GMP_RNDN\n");
fprintf (stderr, "expected 1.0e14, got ");
mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
fprintf (stderr, "\n");
exit (1);
}
mpfr_clear (z);
mpfr_clear (t);
mpfr_set_prec (x, 2);
mpfr_set_str (x, "0.5", 10, GMP_RNDN);
check1 (x, 2, 398441521, GMP_RNDN); /* 398441521 = 19961^2 */
/* generic test */
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (x, prec);
for (n=0; n<N; n++)
{
int nt;
nt = randlimb () & INT_MAX;
mpfr_random (x);
rnd = randlimb () % 4;
check1 (x, prec, nt, rnd);
}
}
}
mpfr_clear (x);
mpfr_clear (y);
tests_end_mpfr ();
return 0;
}
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