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b58ddff026
* merged mpfr 3.0.0 and gmp 5.0.1 in buildtools trunk git-svn-id: file:///srv/svn/repos/haiku/buildtools/trunk@37378 a95241bf-73f2-0310-859d-f6bbb57e9c96
480 lines
12 KiB
C
480 lines
12 KiB
C
/* mpfr_tgamma -- test file for gamma function
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Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
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Contributed by the Arenaire and Cacao projects, INRIA.
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This file is part of the GNU MPFR Library, and was contributed by Mathieu Dutour.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
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http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#include <stdio.h>
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#include <stdlib.h>
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#include "mpfr-test.h"
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#define TEST_FUNCTION mpfr_gamma
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#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1, RANDS)
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#include "tgeneric.c"
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static void
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special (void)
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{
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mpfr_t x, y;
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int inex;
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mpfr_init (x);
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mpfr_init (y);
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mpfr_set_nan (x);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error for gamma(NaN)\n");
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exit (1);
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}
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mpfr_set_inf (x, -1);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error for gamma(-Inf)\n");
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exit (1);
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}
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mpfr_set_inf (x, 1);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
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{
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printf ("Error for gamma(+Inf)\n");
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exit (1);
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}
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
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{
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printf ("Error for gamma(+0)\n");
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exit (1);
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}
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_neg (x, x, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
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{
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printf ("Error for gamma(-0)\n");
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exit (1);
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}
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mpfr_set_ui (x, 1, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (mpfr_cmp_ui (y, 1))
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{
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printf ("Error for gamma(1)\n");
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exit (1);
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}
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mpfr_set_si (x, -1, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_nan_p (y))
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{
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printf ("Error for gamma(-1)\n");
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exit (1);
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}
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mpfr_set_prec (x, 53);
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mpfr_set_prec (y, 53);
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#define CHECK_X1 "1.0762904832837976166"
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#define CHECK_Y1 "0.96134843256452096050"
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mpfr_set_str (x, CHECK_X1, 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_str (x, CHECK_Y1, 10, MPFR_RNDN);
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if (mpfr_cmp (y, x))
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{
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printf ("mpfr_lngamma("CHECK_X1") is wrong:\n"
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"expected ");
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mpfr_print_binary (x); putchar ('\n');
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printf ("got ");
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mpfr_print_binary (y); putchar ('\n');
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exit (1);
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}
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#define CHECK_X2 "9.23709516716202383435e-01"
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#define CHECK_Y2 "1.0502315560291053398"
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mpfr_set_str (x, CHECK_X2, 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_str (x, CHECK_Y2, 10, MPFR_RNDN);
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if (mpfr_cmp (y, x))
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{
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printf ("mpfr_lngamma("CHECK_X2") is wrong:\n"
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"expected ");
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mpfr_print_binary (x); putchar ('\n');
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printf ("got ");
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mpfr_print_binary (y); putchar ('\n');
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exit (1);
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}
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mpfr_set_prec (x, 8);
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mpfr_set_prec (y, 175);
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mpfr_set_ui (x, 33, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDU);
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mpfr_set_prec (x, 175);
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mpfr_set_str_binary (x, "0.110010101011010101101000010101010111000110011101001000101011000001100010111001101001011E118");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_gamma (1)\n");
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exit (1);
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}
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mpfr_set_prec (x, 21);
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mpfr_set_prec (y, 8);
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mpfr_set_ui (y, 120, MPFR_RNDN);
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mpfr_gamma (x, y, MPFR_RNDZ);
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mpfr_set_prec (y, 21);
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mpfr_set_str_binary (y, "0.101111101110100110110E654");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_gamma (120)\n");
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printf ("Expected "); mpfr_print_binary (y); puts ("");
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printf ("Got "); mpfr_print_binary (x); puts ("");
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exit (1);
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}
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mpfr_set_prec (x, 3);
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mpfr_set_prec (y, 206);
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mpfr_set_str_binary (x, "0.110e10");
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inex = mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 206);
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mpfr_set_str_binary (x, "0.110111100001000001101010010001000111000100000100111000010011100011011111001100011110101000111101101100110001001100110100001001111110000101010000100100011100010011101110000001000010001100010000101001111E6250");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_gamma (768)\n");
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exit (1);
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}
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if (inex <= 0)
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{
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printf ("Wrong flag for mpfr_gamma (768)\n");
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exit (1);
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}
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/* worst case to exercise retry */
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mpfr_set_prec (x, 1000);
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mpfr_set_prec (y, 869);
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mpfr_const_pi (x, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 4);
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mpfr_set_prec (y, 4);
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mpfr_set_str_binary (x, "-0.1100E-66");
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_str_binary (x, "-0.1011E67");
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma(-0.1100E-66)\n");
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exit (1);
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}
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mpfr_clear (x);
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mpfr_clear (y);
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}
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static void
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special_overflow (void)
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{
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mpfr_t x, y;
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mpfr_exp_t emin, emax;
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int inex;
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emin = mpfr_get_emin ();
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emax = mpfr_get_emax ();
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set_emin (-125);
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set_emax (128);
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mpfr_init2 (x, 24);
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mpfr_init2 (y, 24);
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mpfr_set_str_binary (x, "0.101100100000000000110100E7");
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_inf_p (y))
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{
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printf ("Overflow error.\n");
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mpfr_dump (y);
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exit (1);
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}
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/* problem mentioned by Kenneth Wilder, 18 Aug 2005 */
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mpfr_set_prec (x, 29);
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mpfr_set_prec (y, 29);
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mpfr_set_str (x, "-200000000.5", 10, MPFR_RNDN); /* exact */
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
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{
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printf ("Error for gamma(-200000000.5)\n");
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printf ("expected -0");
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printf ("got ");
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mpfr_dump (y);
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exit (1);
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}
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mpfr_set_prec (x, 53);
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mpfr_set_prec (y, 53);
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mpfr_set_str (x, "-200000000.1", 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
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{
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printf ("Error for gamma(-200000000.1), prec=53\n");
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printf ("expected -0");
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printf ("got ");
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mpfr_dump (y);
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exit (1);
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}
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/* another problem mentioned by Kenneth Wilder, 29 Aug 2005 */
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mpfr_set_prec (x, 333);
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mpfr_set_prec (y, 14);
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mpfr_set_str (x, "-2.0000000000000000000000005", 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 14);
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mpfr_set_str_binary (x, "-11010011110001E66");
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma(-2.0000000000000000000000005)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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/* another tests from Kenneth Wilder, 31 Aug 2005 */
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set_emax (200);
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set_emin (-200);
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mpfr_set_prec (x, 38);
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mpfr_set_prec (y, 54);
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mpfr_set_str_binary (x, "0.11101111011100111101001001010110101001E-166");
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 54);
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mpfr_set_str_binary (x, "0.100010001101100001110110001010111111010000100101011E167");
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma (test 1)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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set_emax (1000);
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set_emin (-2000);
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mpfr_set_prec (x, 38);
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mpfr_set_prec (y, 71);
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mpfr_set_str_binary (x, "10101011011100001111111000010111110010E-1034");
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/* 184083777010*2^(-1034) */
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 71);
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mpfr_set_str_binary (x, "10111111001000011110010001000000000000110011110000000011101011111111100E926");
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/* 1762885132679550982140*2^926 */
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma (test 2)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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mpfr_set_prec (x, 38);
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mpfr_set_prec (y, 88);
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mpfr_set_str_binary (x, "10111100111001010000100001100100100101E-104");
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/* 202824096037*2^(-104) */
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 88);
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mpfr_set_str_binary (x, "1010110101111000111010111100010110101010100110111000001011000111000011101100001101110010E-21");
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/* 209715199999500283894743922*2^(-21) */
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma (test 3)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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mpfr_set_prec (x, 171);
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mpfr_set_prec (y, 38);
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mpfr_set_str (x, "-2993155353253689176481146537402947624254601559176535", 10,
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MPFR_RNDN);
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mpfr_div_2exp (x, x, 170, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 38);
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mpfr_set_str (x, "201948391737", 10, MPFR_RNDN);
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mpfr_mul_2exp (x, x, 92, MPFR_RNDN);
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma (test 5)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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set_emin (-500000);
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mpfr_set_prec (x, 337);
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mpfr_set_prec (y, 38);
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mpfr_set_str (x, "-30000.000000000000000000000000000000000000000000001", 10,
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MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_prec (x, 38);
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mpfr_set_str (x, "-3.623795987425E-121243", 10, MPFR_RNDN);
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if (mpfr_cmp (x, y))
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{
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printf ("Error for gamma (test 7)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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/* was producing infinite loop */
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set_emin (emin);
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mpfr_set_prec (x, 71);
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mpfr_set_prec (y, 71);
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mpfr_set_str (x, "-200000000.1", 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
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{
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printf ("Error for gamma (test 8)\n");
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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set_emax (1073741823);
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mpfr_set_prec (x, 29);
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mpfr_set_prec (y, 29);
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mpfr_set_str (x, "423786866", 10, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
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{
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printf ("Error for gamma(423786866)\n");
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exit (1);
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}
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/* check exact result */
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mpfr_set_prec (x, 2);
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mpfr_set_ui (x, 3, MPFR_RNDN);
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inex = mpfr_gamma (x, x, MPFR_RNDN);
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if (inex != 0 || mpfr_cmp_ui (x, 2) != 0)
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{
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printf ("Error for gamma(3)\n");
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exit (1);
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}
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mpfr_set_emax (1024);
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mpfr_set_prec (x, 53);
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mpfr_set_prec (y, 53);
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mpfr_set_str_binary (x, "101010110100110011111010000110001000111100000110101E-43");
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mpfr_gamma (x, x, MPFR_RNDU);
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mpfr_set_str_binary (y, "110000011110001000111110110101011110000100001111111E971");
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if (mpfr_cmp (x, y) != 0)
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{
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printf ("Error for gamma(4)\n");
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printf ("expected "); mpfr_dump (y);
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printf ("got "); mpfr_dump (x);
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exit (1);
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}
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set_emin (emin);
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set_emax (emax);
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/* bug found by Kevin Rauch, 26 Oct 2007 */
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mpfr_set_str (x, "1e19", 10, MPFR_RNDN);
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inex = mpfr_gamma (x, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_inf_p (x) && inex > 0);
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mpfr_clear (y);
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mpfr_clear (x);
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}
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/* test gamma on some integral values (from Christopher Creutzig). */
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static void
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gamma_integer (void)
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{
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mpz_t n;
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mpfr_t x, y;
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unsigned int i;
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mpz_init (n);
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mpfr_init2 (x, 149);
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mpfr_init2 (y, 149);
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for (i = 0; i < 100; i++)
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{
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mpz_fac_ui (n, i);
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mpfr_set_ui (x, i+1, MPFR_RNDN);
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mpfr_gamma (y, x, MPFR_RNDN);
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mpfr_set_z (x, n, MPFR_RNDN);
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if (!mpfr_equal_p (x, y))
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{
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printf ("Error for gamma(%u)\n", i+1);
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printf ("expected "); mpfr_dump (x);
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printf ("got "); mpfr_dump (y);
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exit (1);
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}
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}
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mpfr_clear (y);
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mpfr_clear (x);
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mpz_clear (n);
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}
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/* bug found by Kevin Rauch */
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static void
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test20071231 (void)
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{
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mpfr_t x;
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int inex;
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mpfr_exp_t emin;
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emin = mpfr_get_emin ();
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mpfr_set_emin (-1000000);
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mpfr_init2 (x, 21);
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mpfr_set_str (x, "-1000001.5", 10, MPFR_RNDN);
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inex = mpfr_gamma (x, x, MPFR_RNDN);
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MPFR_ASSERTN(MPFR_IS_ZERO(x) && MPFR_IS_POS(x) && inex < 0);
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mpfr_clear (x);
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mpfr_set_emin (emin);
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mpfr_init2 (x, 53);
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mpfr_set_str (x, "-1000000001.5", 10, MPFR_RNDN);
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inex = mpfr_gamma (x, x, MPFR_RNDN);
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MPFR_ASSERTN(MPFR_IS_ZERO(x) && MPFR_IS_POS(x) && inex < 0);
|
|
mpfr_clear (x);
|
|
}
|
|
|
|
int
|
|
main (int argc, char *argv[])
|
|
{
|
|
tests_start_mpfr ();
|
|
|
|
special ();
|
|
special_overflow ();
|
|
test_generic (2, 100, 2);
|
|
gamma_integer ();
|
|
test20071231 ();
|
|
|
|
data_check ("data/gamma", mpfr_gamma, "mpfr_gamma");
|
|
|
|
tests_end_mpfr ();
|
|
return 0;
|
|
}
|