--- /dev/null
+/* mpfr_tgamma -- test file for gamma function
+
+Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library, and was contributed by Mathieu Dutour.
+
+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 2.1 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.LIB. If not, 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_gamma
+#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 1)
+#include "tgeneric.c"
+
+static void
+special (void)
+{
+ mpfr_t x, y;
+ int inex;
+
+ mpfr_init (x);
+ mpfr_init (y);
+
+ mpfr_set_nan (x);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_nan_p (y))
+ {
+ printf ("Error for gamma(NaN)\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (x, -1);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_nan_p (y))
+ {
+ printf ("Error for gamma(-Inf)\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (x, 1);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
+ {
+ printf ("Error for gamma(+Inf)\n");
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
+ {
+ printf ("Error for gamma(+0)\n");
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ mpfr_neg (x, x, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
+ {
+ printf ("Error for gamma(-0)\n");
+ exit (1);
+ }
+
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 1))
+ {
+ printf ("Error for gamma(1)\n");
+ exit (1);
+ }
+
+ mpfr_set_si (x, -1, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_nan_p (y))
+ {
+ printf ("Error for gamma(-1)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+
+#define CHECK_X1 "1.0762904832837976166"
+#define CHECK_Y1 "0.96134843256452096050"
+
+ mpfr_set_str (x, CHECK_X1, 10, GMP_RNDN);
+ mpfr_gamma (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:\n"
+ "expected ");
+ mpfr_print_binary (x); putchar ('\n');
+ printf ("got ");
+ mpfr_print_binary (y); putchar ('\n');
+ exit (1);
+ }
+
+#define CHECK_X2 "9.23709516716202383435e-01"
+#define CHECK_Y2 "1.0502315560291053398"
+ mpfr_set_str (x, CHECK_X2, 10, GMP_RNDN);
+ mpfr_gamma (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:\n"
+ "expected ");
+ mpfr_print_binary (x); putchar ('\n');
+ printf ("got ");
+ mpfr_print_binary (y); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 8);
+ mpfr_set_prec (y, 175);
+ mpfr_set_ui (x, 33, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDU);
+ mpfr_set_prec (x, 175);
+ mpfr_set_str_binary (x, "0.110010101011010101101000010101010111000110011101001000101011000001100010111001101001011E118");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_gamma (1)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 21);
+ mpfr_set_prec (y, 8);
+ mpfr_set_ui (y, 120, GMP_RNDN);
+ mpfr_gamma (x, y, GMP_RNDZ);
+ mpfr_set_prec (y, 21);
+ mpfr_set_str_binary (y, "0.101111101110100110110E654");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_gamma (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_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 206);
+ mpfr_set_str_binary (x, "0.110111100001000001101010010001000111000100000100111000010011100011011111001100011110101000111101101100110001001100110100001001111110000101010000100100011100010011101110000001000010001100010000101001111E6250");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_gamma (768)\n");
+ exit (1);
+ }
+ if (inex <= 0)
+ {
+ printf ("Wrong flag for mpfr_gamma (768)\n");
+ exit (1);
+ }
+
+ /* worst case to exercise retry */
+ mpfr_set_prec (x, 1000);
+ mpfr_set_prec (y, 869);
+ mpfr_const_pi (x, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+
+ mpfr_set_prec (x, 4);
+ mpfr_set_prec (y, 4);
+ mpfr_set_str_binary (x, "-0.1100E-66");
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_str_binary (x, "-0.1011E67");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma(-0.1100E-66)\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+static void
+special_overflow (void)
+{
+ mpfr_t x, y;
+ mp_exp_t emin, emax;
+ int inex;
+
+ emin = mpfr_get_emin ();
+ emax = mpfr_get_emax ();
+
+ set_emin (-125);
+ set_emax (128);
+
+ mpfr_init2 (x, 24);
+ mpfr_init2 (y, 24);
+ mpfr_set_str_binary (x, "0.101100100000000000110100E7");
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y))
+ {
+ printf ("Overflow error.\n");
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ /* problem mentioned by Kenneth Wilder, 18 Aug 2005 */
+ mpfr_set_prec (x, 29);
+ mpfr_set_prec (y, 29);
+ mpfr_set_str (x, "-200000000.5", 10, GMP_RNDN); /* exact */
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
+ {
+ printf ("Error for gamma(-200000000.5)\n");
+ printf ("expected -0");
+ printf ("got ");
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_str (x, "-200000000.1", 10, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
+ {
+ printf ("Error for gamma(-200000000.1), prec=53\n");
+ printf ("expected -0");
+ printf ("got ");
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ /* another problem mentioned by Kenneth Wilder, 29 Aug 2005 */
+ mpfr_set_prec (x, 333);
+ mpfr_set_prec (y, 14);
+ mpfr_set_str (x, "-2.0000000000000000000000005", 10, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 14);
+ mpfr_set_str_binary (x, "-11010011110001E66");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma(-2.0000000000000000000000005)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ /* another tests from Kenneth Wilder, 31 Aug 2005 */
+ set_emax (200);
+ set_emin (-200);
+ mpfr_set_prec (x, 38);
+ mpfr_set_prec (y, 54);
+ mpfr_set_str_binary (x, "0.11101111011100111101001001010110101001E-166");
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 54);
+ mpfr_set_str_binary (x, "0.100010001101100001110110001010111111010000100101011E167");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma (test 1)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ set_emax (1000);
+ set_emin (-2000);
+ mpfr_set_prec (x, 38);
+ mpfr_set_prec (y, 71);
+ mpfr_set_str_binary (x, "10101011011100001111111000010111110010E-1034");
+ /* 184083777010*2^(-1034) */
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 71);
+ mpfr_set_str_binary (x, "10111111001000011110010001000000000000110011110000000011101011111111100E926");
+ /* 1762885132679550982140*2^926 */
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma (test 2)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 38);
+ mpfr_set_prec (y, 88);
+ mpfr_set_str_binary (x, "10111100111001010000100001100100100101E-104");
+ /* 202824096037*2^(-104) */
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 88);
+ mpfr_set_str_binary (x, "1010110101111000111010111100010110101010100110111000001011000111000011101100001101110010E-21");
+ /* 209715199999500283894743922*2^(-21) */
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma (test 3)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 171);
+ mpfr_set_prec (y, 38);
+ mpfr_set_str (x, "-2993155353253689176481146537402947624254601559176535", 10,
+ GMP_RNDN);
+ mpfr_div_2exp (x, x, 170, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 38);
+ mpfr_set_str (x, "201948391737", 10, GMP_RNDN);
+ mpfr_mul_2exp (x, x, 92, GMP_RNDN);
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma (test 5)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ set_emin (-500000);
+ mpfr_set_prec (x, 337);
+ mpfr_set_prec (y, 38);
+ mpfr_set_str (x, "-30000.000000000000000000000000000000000000000000001", 10,
+ GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_prec (x, 38);
+ mpfr_set_str (x, "-3.623795987425E-121243", 10, GMP_RNDN);
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for gamma (test 7)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ /* was producing infinite loop */
+ set_emin (emin);
+ mpfr_set_prec (x, 71);
+ mpfr_set_prec (y, 71);
+ mpfr_set_str (x, "-200000000.1", 10, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!(mpfr_zero_p (y) && MPFR_SIGN (y) < 0))
+ {
+ printf ("Error for gamma (test 8)\n");
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ set_emax (1073741823);
+ mpfr_set_prec (x, 29);
+ mpfr_set_prec (y, 29);
+ mpfr_set_str (x, "423786866", 10, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
+ {
+ printf ("Error for gamma(423786866)\n");
+ exit (1);
+ }
+
+ /* check exact result */
+ mpfr_set_prec (x, 2);
+ mpfr_set_ui (x, 3, GMP_RNDN);
+ inex = mpfr_gamma (x, x, GMP_RNDN);
+ if (inex != 0 || mpfr_cmp_ui (x, 2) != 0)
+ {
+ printf ("Error for gamma(3)\n");
+ exit (1);
+ }
+
+ mpfr_set_emax (1024);
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_str_binary (x, "101010110100110011111010000110001000111100000110101E-43");
+ mpfr_gamma (x, x, GMP_RNDU);
+ mpfr_set_str_binary (y, "110000011110001000111110110101011110000100001111111E971");
+ if (mpfr_cmp (x, y) != 0)
+ {
+ printf ("Error for gamma(4)\n");
+ printf ("expected "); mpfr_dump (y);
+ printf ("got "); mpfr_dump (x);
+ exit (1);
+ }
+
+ set_emin (emin);
+ set_emax (emax);
+
+ /* bug found by Kevin Rauch, 26 Oct 2007 */
+ mpfr_set_str (x, "1e19", 10, GMP_RNDN);
+ inex = mpfr_gamma (x, x, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_inf_p (x) && inex > 0);
+
+ mpfr_clear (y);
+ mpfr_clear (x);
+}
+
+/* test gamma on some integral values (from Christopher Creutzig). */
+static void
+gamma_integer (void)
+{
+ mpz_t n;
+ mpfr_t x, y;
+ unsigned int i;
+
+ mpz_init (n);
+ mpfr_init2 (x, 149);
+ mpfr_init2 (y, 149);
+
+ for (i = 0; i < 100; i++)
+ {
+ mpz_fac_ui (n, i);
+ mpfr_set_ui (x, i+1, GMP_RNDN);
+ mpfr_gamma (y, x, GMP_RNDN);
+ mpfr_set_z (x, n, GMP_RNDN);
+ if (!mpfr_equal_p (x, y))
+ {
+ printf ("Error for gamma(%u)\n", i+1);
+ printf ("expected "); mpfr_dump (x);
+ printf ("got "); mpfr_dump (y);
+ exit (1);
+ }
+ }
+ mpfr_clear (y);
+ mpfr_clear (x);
+ mpz_clear (n);
+}
+
+/* bug found by Kevin Rauch */
+static void
+test20071231 (void)
+{
+ mpfr_t x;
+ int inex;
+ mp_exp_t emin;
+
+ emin = mpfr_get_emin ();
+ mpfr_set_emin (-1000000);
+
+ mpfr_init2 (x, 21);
+ mpfr_set_str (x, "-1000001.5", 10, GMP_RNDN);
+ inex = mpfr_gamma (x, x, GMP_RNDN);
+ MPFR_ASSERTN(MPFR_IS_ZERO(x) && MPFR_IS_POS(x) && inex < 0);
+ mpfr_clear (x);
+
+ mpfr_set_emin (emin);
+
+ mpfr_init2 (x, 53);
+ mpfr_set_str (x, "-1000000001.5", 10, GMP_RNDN);
+ inex = mpfr_gamma (x, x, GMP_RNDN);
+ 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;
+}
projects / msp430-gcc.git / blobdiff