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/* tzeta -- test file for the Riemann Zeta function
Copyright 2003 Free Software Foundation.
Contributed by Jean-Luc Re'my and the Spaces project, INRIA Lorraine.
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 "gmp.h"
#include "mpfr.h"
#include "mpfr-test.h"
void test_generic _PROTO ((void));
#define PREC_MAX 80
#define N 2
void
test_generic ()
{
mp_prec_t prec, yprec;
int n, err;
mp_rnd_t rnd;
mpfr_t x, y, z;
mp_exp_t e;
mpfr_init2 (x, MPFR_PREC_MIN);
mpfr_init2 (y, MPFR_PREC_MIN);
mpfr_init2 (z, MPFR_PREC_MIN);
for (prec = 2; prec <= PREC_MAX; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (z, prec);
yprec = prec + 10;
for (n = 0; n < N; n++)
{
mpfr_random (x); /* x is in [0, 1[ */
mpfr_add_ui (x, x, 1, GMP_RNDN);
e = randlimb () % 5;
mpfr_div_2exp (x, x, 1, GMP_RNDN); /* now in [1/2, 1[ */
mpfr_mul_2exp (x, x, e, GMP_RNDN); /* now in [2^(e-1), 2^e[ */
if (randlimb () % 2)
mpfr_ui_sub (x, 1, x, GMP_RNDN); /* now less or equal to 1/2 */
rnd = randlimb () % 4;
mpfr_set_prec (y, yprec);
mpfr_zeta (y, x, rnd);
err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
if (mpfr_can_round (y, err, rnd, rnd, prec))
{
mpfr_round_prec (y, rnd, prec);
mpfr_zeta (z, x, rnd);
if (mpfr_cmp (y, z))
{
printf ("results differ for x=");
mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
printf (" prec=%lu rnd_mode=%s\n", 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, y, GMP_RNDN);
puts ("");
exit (1);
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
}
/* Usage: tzeta - generic tests
tzeta s prec rnd_mode - compute zeta(s) with precision 'prec'
and rounding mode 'mode' */
int
main (int argc, char *argv[])
{
mpfr_t s, y, z;
mp_prec_t prec;
mp_rnd_t rnd_mode;
if (argc != 1 && argc != 4)
{
fprintf (stderr, "Usage: tzeta\n");
fprintf (stderr, " or tzeta s prec rnd_mode\n");
exit (1);
}
if (argc == 4)
{
prec = atoi(argv[2]);
mpfr_init2 (s, prec);
mpfr_init2 (z, prec);
mpfr_set_str (s, argv[1], 10, GMP_RNDN);
rnd_mode = atoi(argv[3]);
mpfr_zeta (z, s, rnd_mode);
mpfr_out_str (stdout, 10, 0, z, GMP_RNDN);
printf ("\n");
mpfr_clear (s);
mpfr_clear (z);
return 0;
}
mpfr_init2 (s, MPFR_PREC_MIN);
mpfr_init2 (y, MPFR_PREC_MIN);
mpfr_init2 (z, MPFR_PREC_MIN);
/* the following seems to loop */
mpfr_set_prec (s, 6);
mpfr_set_prec (z, 6);
mpfr_set_str_raw (s, "1.10010e4");
mpfr_zeta (z, s, GMP_RNDZ);
mpfr_set_prec (s, 53);
mpfr_set_prec (y, 53);
mpfr_set_prec (z, 53);
mpfr_set_ui (s, 1, GMP_RNDN);
mpfr_zeta (z, s, GMP_RNDN);
if (!mpfr_inf_p (z) || MPFR_SIGN (z) < 0)
{
fprintf (stderr, "Error in mpfr_zeta for s = 1 (should be +inf)\n");
exit (1);
}
mpfr_set_str_raw (s, "0.1100011101110111111111111010000110010111001011001011");
mpfr_set_str_raw (y, "-0.11111101111011001001001111111000101010000100000100100E2");
mpfr_zeta (z, s, GMP_RNDN);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (1,RNDN)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDZ);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (1,RNDZ)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDU);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (1,RNDU)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDD);
mpfr_add_one_ulp (y, GMP_RNDD);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (1,RNDD)\n");
exit (1);
}
mpfr_set_str_raw (s, "0.10001011010011100110010001100100001011000010011001011");
mpfr_set_str_raw (y, "-0.11010011010010101101110111011010011101111101111010110E1");
mpfr_zeta (z, s, GMP_RNDN);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (2,RNDN)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDZ);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (2,RNDZ)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDU);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (2,RNDU)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDD);
mpfr_add_one_ulp (y, GMP_RNDD);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (2,RNDD)\n");
exit (1);
}
mpfr_set_str_raw (s, "0.1100111110100001111110111000110101111001011101000101");
mpfr_set_str_raw (y, "-0.10010111010110000111011111001101100001111011000001010E3");
mpfr_zeta (z, s, GMP_RNDN);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (3,RNDN)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDD);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (3,RNDD)\n");
exit (1);
}
mpfr_sub_one_ulp (y, GMP_RNDZ);
mpfr_zeta (z, s, GMP_RNDZ);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (3,RNDZ)\n");
exit (1);
}
mpfr_zeta (z, s, GMP_RNDU);
if (mpfr_cmp (z, y) != 0)
{
fprintf (stderr, "Error in mpfr_zeta (3,RNDU)\n");
exit (1);
}
test_generic ();
mpfr_clear (s);
mpfr_clear (y);
mpfr_clear (z);
return 0;
}
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