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/* Test file for mpfr_zeta_ui.
Copyright 2005-2016 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 TEST_FUNCTION mpfr_zeta_ui
int
main (int argc, char *argv[])
{
#if MPFR_VERSION >= MPFR_VERSION_NUM(2,3,0)
unsigned int prec, yprec;
int rnd;
mpfr_t x, y, z, t;
unsigned long n;
int inex;
mpfr_exp_t emin, emax;
unsigned int flags, ex_flags;
int i;
tests_start_mpfr ();
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (t);
if (argc >= 3) /* tzeta_ui n prec [rnd] */
{
mpfr_set_prec (x, atoi (argv[2]));
mpfr_zeta_ui (x, atoi (argv[1]),
argc > 3 ? (mpfr_rnd_t) atoi (argv[3]) : MPFR_RNDN);
mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN);
printf ("\n");
goto clear_and_exit;
}
mpfr_set_prec (x, 33);
mpfr_set_prec (y, 33);
mpfr_zeta_ui (x, 3, MPFR_RNDZ);
mpfr_set_str_binary (y, "0.100110011101110100000000001001111E1");
if (mpfr_cmp (x, y))
{
printf ("Error for zeta(3), prec=33, MPFR_RNDZ\n");
printf ("expected "); mpfr_dump (y);
printf ("got "); mpfr_dump (x);
exit (1);
}
mpfr_clear_flags ();
inex = mpfr_zeta_ui (x, 0, MPFR_RNDN);
flags = __gmpfr_flags;
MPFR_ASSERTN (inex == 0 && mpfr_cmp_si_2exp (x, -1, -1) == 0 && flags == 0);
for (i = -2; i <= 2; i += 2)
RND_LOOP (rnd)
{
int ex_inex;
set_emin (i);
set_emax (i);
mpfr_clear_flags ();
inex = mpfr_zeta_ui (x, 0, (mpfr_rnd_t) rnd);
flags = __gmpfr_flags;
if (i < 0)
{
mpfr_set_inf (y, -1);
if (rnd == MPFR_RNDU || rnd == MPFR_RNDZ)
{
mpfr_nextabove (y);
ex_inex = 1;
}
else
{
ex_inex = -1;
}
ex_flags = MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT;
}
else if (i > 0)
{
mpfr_set_zero (y, -1);
if (rnd == MPFR_RNDD || rnd == MPFR_RNDA)
{
mpfr_nextbelow (y);
ex_inex = -1;
}
else
{
ex_inex = 1;
}
ex_flags = MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT;
}
else
{
mpfr_set_str_binary (y, "-1e-1");
ex_inex = 0;
ex_flags = 0;
}
set_emin (emin);
set_emax (emax);
if (! (mpfr_equal_p (x, y) && MPFR_IS_NEG (x) &&
SAME_SIGN (inex, ex_inex) && flags == ex_flags))
{
printf ("Failure for zeta(0) in %s, exponent range [%d,%d]\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), i, i);
printf ("Expected ");
mpfr_dump (y);
printf (" with inex ~ %d, flags =", ex_inex);
flags_out (ex_flags);
printf ("Got ");
mpfr_dump (x);
printf (" with inex = %d, flags =", inex);
flags_out (flags);
exit (1);
}
}
mpfr_clear_divby0 ();
inex = mpfr_zeta_ui (x, 1, MPFR_RNDN);
MPFR_ASSERTN (inex == 0 && MPFR_IS_INF (x) && MPFR_IS_POS (x)
&& mpfr_divby0_p ());
for (prec = MPFR_PREC_MIN; prec <= 100; prec++)
{
mpfr_set_prec (x, prec);
mpfr_set_prec (z, prec);
mpfr_set_prec (t, prec);
yprec = prec + 10;
mpfr_set_prec (y, yprec);
for (n = 0; n < 50; n++)
RND_LOOP (rnd)
{
mpfr_zeta_ui (y, n, MPFR_RNDN);
if (mpfr_can_round (y, yprec, MPFR_RNDN, MPFR_RNDZ, prec
+ (rnd == MPFR_RNDN)))
{
mpfr_set (t, y, (mpfr_rnd_t) rnd);
for (i = 0; i <= 1; i++)
{
if (i)
{
mpfr_exp_t e;
if (MPFR_IS_SINGULAR (t))
break;
e = mpfr_get_exp (t);
set_emin (e);
set_emax (e);
}
mpfr_zeta_ui (z, n, (mpfr_rnd_t) rnd);
if (i)
{
set_emin (emin);
set_emax (emax);
}
if (mpfr_cmp (t, z))
{
printf ("results differ for n = %lu, prec = %u,"
" %s%s\n", n, prec,
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd),
i ? ", reduced exponent range" : "");
printf (" got ");
mpfr_dump (z);
printf (" expected ");
mpfr_dump (t);
printf (" approx ");
mpfr_dump (y);
exit (1);
}
}
}
}
}
clear_and_exit:
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (t);
tests_end_mpfr ();
#endif
return 0;
}
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