File: [local] / OpenXM_contrib / gmp / mpfr / tests / Attic / tpow3.c (download)
Revision 1.1.1.1 (vendor branch), Mon Aug 25 16:06:10 2003 UTC (21 years ago) by ohara
Branch: GMP
CVS Tags: VERSION_4_1_2, RELEASE_1_2_3, RELEASE_1_2_2_KNOPPIX_b, RELEASE_1_2_2_KNOPPIX Changes since 1.1: +0 -0
lines
Import gmp 4.1.2
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/* Test file for mpfr_pow.
Copyright 2001 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 <limits.h>
#include <stdlib.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "mpfr.h"
#include "mpfr-impl.h"
#include "mpfr-test.h"
int
main (int argc, char *argv[])
{
mpfr_t x, y, z, ax;
long int iy;
mpfr_init (x);
mpfr_init (ax);
mpfr_init2 (y,sizeof(unsigned long int)*CHAR_BIT);
mpfr_init (z);
MPFR_SET_NAN(x);
mpfr_random(y);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_NAN(z))
{
printf ("evaluation of function in x=NAN does not return NAN");
exit (1);
}
MPFR_SET_NAN(y);
mpfr_random(x);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_NAN(z))
{
printf ("evaluation of function in y=NAN does not return NAN");
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_ZERO(y);
mpfr_random(x);
mpfr_pow (z, x,y, GMP_RNDN);
if(mpfr_cmp_ui(z,1)!=0 && !(MPFR_IS_NAN(x)))
{
printf ("evaluation of function in y=0 does not return 1\n");
printf ("x =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_INF(y);
if (MPFR_SIGN(y) < 0)
MPFR_CHANGE_SIGN(y);
mpfr_random(x);
mpfr_set_prec (ax, MPFR_PREC(x));
mpfr_abs(ax,x,GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) > 0) )
{
printf ("evaluation of function in y=INF (|x|>1) does not return INF");
exit (1);
}
if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) < 0) )
{
printf ("\nevaluation of function in y=INF (|x|<1) does not return 0");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_INF(y);
if (MPFR_SIGN(y) > 0)
MPFR_CHANGE_SIGN(y);
mpfr_random(x);
mpfr_set_prec (ax, MPFR_PREC(x));
mpfr_abs(ax,x,GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) < 0) )
{
printf ("evaluation of function in y=INF (for |x| <0) does not return INF");
exit (1);
}
if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) > 0) )
{
printf ("evaluation of function in y=INF (for |x| >0) does not return 0");
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_INF(x);
if (MPFR_SIGN(x) < 0)
MPFR_CHANGE_SIGN(x);
mpfr_random(y);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0))
{
printf ("evaluation of function in INF does not return INF");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0))
{
printf ("evaluation of function in INF does not return INF");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_INF(x);
if (MPFR_SIGN(x) > 0)
MPFR_CHANGE_SIGN(x);
mpfr_random(y);
if (random() % 2)
mpfr_neg (y, y, GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in x=-INF does not return INF");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
if(mpfr_isinteger(y))
printf("y is an integer\n");
else
printf("y is not an integer\n");
exit (1);
}
if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in x=-INF does not return 0");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
if(mpfr_isinteger(y))
printf("y is an integer\n");
else
printf("y is not an integer\n");
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_INF(x);
if (MPFR_SIGN(x) > 0)
MPFR_CHANGE_SIGN(x);
iy=random();
mpfr_random(y);
if (random() % 2)
iy=-iy;
mpfr_set_d(y,iy,GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in x=-INF does not return INF");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
if(mpfr_isinteger(y))
printf("y is an integer\n");
else
printf("y is not an integer\n");
exit (1);
}
if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in x=-INF does not return 0");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
if(mpfr_isinteger(y))
printf("y is an integer\n");
else
printf("y is not an integer\n");
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
mpfr_set_ui(x,1,GMP_RNDN);
MPFR_SET_INF(y);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_NAN(z))
{
printf ("evaluation of function in x=1, y=INF does not return NAN");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
MPFR_CLEAR_FLAGS(z);
MPFR_CLEAR_FLAGS(y);
MPFR_CLEAR_FLAGS(x);
MPFR_SET_ZERO(x);
mpfr_random(y);
if (random() % 2)
mpfr_neg (y, y, GMP_RNDN);
mpfr_pow (z, x,y, GMP_RNDN);
if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && !(mpfr_isinteger(y)))
{
printf ("evaluation of function in y<0 does not return 0");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in y<0 (y integer) does not return INF");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
{
printf ("evaluation of function in y<0 (y integer) does not return 0");
printf ("\nx =");
mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
printf ("\n y =");
mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
printf ("\n result =");
mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
putchar('\n');
exit (1);
}
{
mp_prec_t prec, yprec;
mpfr_t t, s;
mp_rnd_t rnd;
int inexact, compare, compare2;
unsigned int n, err;
int p0=2;
int p1=100;
int N=100;
mpfr_init (s);
mpfr_init (t);
/* generic test */
for (prec = p0; prec <= p1; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (s, sizeof(unsigned long int)*CHAR_BIT);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
for (n=0; n<N; n++)
{
mpfr_random (x);
mpfr_random (s);
if (random() % 2)
mpfr_neg (s, s, GMP_RNDN);
rnd = random () % 4;
mpfr_set_prec (y, yprec);
compare = mpfr_pow (y, x, s, rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_set (t, y, rnd);
inexact = mpfr_pow (z,x, s, rnd);
if (mpfr_cmp (t, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" values of the exponential=");
mpfr_out_str (stdout, 2, prec, s, GMP_RNDN);
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);
putchar ('\n');
printf ("expected ");
mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
putchar ('\n');
printf ("approx ");
mpfr_print_binary (y);
putchar ('\n');
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)))
{
fprintf (stderr, "Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode (rnd), compare, inexact);
printf ("x="); mpfr_print_binary (x); putchar ('\n');
printf ("y="); mpfr_print_binary (y); putchar ('\n');
printf ("t="); mpfr_print_binary (t); putchar ('\n');
exit (1);
}
}
}
}
mpfr_clear (s);
mpfr_clear (t);
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (ax);
return 0;
}