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/* mpfr_tlngamma -- test file for lngamma function
Copyright 2005, 2006 Free Software Foundation, Inc.
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., 51 Franklin Place, Fifth Floor, Boston,
MA 02110-1301, USA. */
#include <stdio.h>
#include <stdlib.h>
#include "mpfr-test.h"
#define TEST_FUNCTION mpfr_lngamma
#include "tgeneric.c"
static void
special (void)
{
mpfr_t x, y;
int inex;
mpfr_init (x);
mpfr_init (y);
mpfr_set_nan (x);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(NaN)\n");
exit (1);
}
mpfr_set_inf (x, -1);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-Inf)\n");
exit (1);
}
mpfr_set_inf (x, 1);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for lngamma(+Inf)\n");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
{
printf ("Error for lngamma(+0)\n");
exit (1);
}
mpfr_set_ui (x, 0, GMP_RNDN);
mpfr_neg (x, x, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-0)\n");
exit (1);
}
mpfr_set_ui (x, 1, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y))
{
printf ("Error for lngamma(1)\n");
exit (1);
}
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
if (!mpfr_nan_p (y))
{
printf ("Error for lngamma(-1)\n");
exit (1);
}
mpfr_set_ui (x, 2, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
if (mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y))
{
printf ("Error for lngamma(2)\n");
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_prec (y, 53);
#define CHECK_X1 "1.0762904832837976166"
#define CHECK_Y1 "-0.039418362817587634939"
mpfr_set_str (x, CHECK_X1, 10, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
mpfr_set_str (x, CHECK_Y1, 10, GMP_RNDN);
if (mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X1") is wrong: expected %1.20e, got %1.20e\n",
mpfr_get_d (x, GMP_RNDN), mpfr_get_d (y, GMP_RNDN));
exit (1);
}
#define CHECK_X2 "9.23709516716202383435e-01"
#define CHECK_Y2 "0.049010669407893718563"
mpfr_set_str (x, CHECK_X2, 10, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDN);
mpfr_set_str (x, CHECK_Y2, 10, GMP_RNDN);
if (mpfr_cmp (y, x))
{
printf ("mpfr_lngamma("CHECK_X2") is wrong: expected %1.20e, got %1.20e\n",
mpfr_get_d (x, GMP_RNDN), mpfr_get_d (y, GMP_RNDN));
exit (1);
}
mpfr_set_prec (x, 8);
mpfr_set_prec (y, 175);
mpfr_set_ui (x, 33, GMP_RNDN);
mpfr_lngamma (y, x, GMP_RNDU);
mpfr_set_prec (x, 175);
mpfr_set_str_binary (x, "0.1010001100011101101011001101110010100001000001000001110011000001101100001111001001000101011011100100010101011110100111110101010100010011010010000101010111001100011000101111E7");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (1)\n");
exit (1);
}
mpfr_set_prec (x, 21);
mpfr_set_prec (y, 8);
mpfr_set_ui (y, 120, GMP_RNDN);
mpfr_lngamma (x, y, GMP_RNDZ);
mpfr_set_prec (y, 21);
mpfr_set_str_binary (y, "0.111000101000001100101E9");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (120)\n");
printf ("Expected "); mpfr_print_binary (y); puts ("");
printf ("Got "); mpfr_print_binary (x); puts ("");
exit (1);
}
mpfr_set_prec (x, 3);
mpfr_set_prec (y, 206);
mpfr_set_str_binary (x, "0.110e10");
inex = mpfr_lngamma (y, x, GMP_RNDN);
mpfr_set_prec (x, 206);
mpfr_set_str_binary (x, "0.10000111011000000011100010101001100110001110000111100011000100100110110010001011011110101001111011110110000001010100111011010000000011100110110101100111000111010011110010000100010111101010001101000110101001E13");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_lngamma (768)\n");
exit (1);
}
if (inex >= 0)
{
printf ("Wrong flag for mpfr_lngamma (768)\n");
exit (1);
}
mpfr_set_prec (x, 4);
mpfr_set_prec (y, 4);
mpfr_set_str_binary (x, "0.1100E-66");
mpfr_lngamma (y, x, GMP_RNDN);
mpfr_set_str_binary (x, "0.1100E6");
if (mpfr_cmp (x, y))
{
printf ("Error for lngamma(0.1100E-66)\n");
exit (1);
}
mpfr_clear (x);
mpfr_clear (y);
}
int
main (void)
{
tests_start_mpfr ();
special ();
test_generic (2, 100, 2);
tests_end_mpfr ();
return 0;
}
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