X-Git-Url: https://oss.titaniummirror.com/gitweb/?a=blobdiff_plain;f=mpfr%2Ftests%2Ftlgamma.c;fp=mpfr%2Ftests%2Ftlgamma.c;h=347dd386aad9be1d9c5285d23489076f67283a37;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/mpfr/tests/tlgamma.c b/mpfr/tests/tlgamma.c new file mode 100644 index 00000000..347dd386 --- /dev/null +++ b/mpfr/tests/tlgamma.c @@ -0,0 +1,403 @@ +/* mpfr_tlgamma -- test file for lgamma function + +Copyright 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. + +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 +#include + +#include "mpfr-test.h" + +static int +mpfr_lgamma_nosign (mpfr_ptr y, mpfr_srcptr x, mp_rnd_t rnd) +{ + int inex, sign; + + inex = mpfr_lgamma (y, &sign, x, rnd); + if (!MPFR_IS_SINGULAR (y)) + { + MPFR_ASSERTN (sign == 1 || sign == -1); + if (sign == -1 && (rnd == GMP_RNDN || rnd == GMP_RNDZ)) + { + mpfr_neg (y, y, GMP_RNDN); + inex = -inex; + /* This is a way to check with the generic tests, that the value + returned in the sign variable is consistent, but warning! The + tested function depends on the rounding mode: it is + * lgamma(x) = log(|Gamma(x)|) in GMP_RNDD and GMP_RNDU; + * lgamma(x) * sign(Gamma(x)) in GMP_RNDN and GMP_RNDZ. */ + } + } + + return inex; +} + +#define TEST_FUNCTION mpfr_lgamma_nosign +#include "tgeneric.c" + +static void +special (void) +{ + mpfr_t x, y; + int inex; + int sign; + mp_exp_t emin, emax; + + mpfr_init (x); + mpfr_init (y); + + mpfr_set_nan (x); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_nan_p (y)) + { + printf ("Error for lgamma(NaN)\n"); + exit (1); + } + + mpfr_set_inf (x, -1); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) + { + printf ("Error for lgamma(-Inf)\n"); + exit (1); + } + + mpfr_set_inf (x, 1); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || sign != 1) + { + printf ("Error for lgamma(+Inf)\n"); + exit (1); + } + + mpfr_set_ui (x, 0, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || sign != 1) + { + printf ("Error for lgamma(+0)\n"); + exit (1); + } + + mpfr_set_ui (x, 0, GMP_RNDN); + mpfr_neg (x, x, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || sign != -1) + { + printf ("Error for lgamma(-0)\n"); + exit (1); + } + + mpfr_set_ui (x, 1, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y) || sign != 1) + { + printf ("Error for lgamma(1)\n"); + exit (1); + } + + mpfr_set_si (x, -1, GMP_RNDN); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) + { + printf ("Error for lgamma(-1)\n"); + exit (1); + } + + mpfr_set_ui (x, 2, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y) || sign != 1) + { + printf ("Error for lgamma(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); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str (x, CHECK_Y1, 10, GMP_RNDN); + if (mpfr_equal_p (y, x) == 0 || sign != 1) + { + printf ("mpfr_lgamma("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 "0.049010669407893718563" + mpfr_set_str (x, CHECK_X2, 10, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str (x, CHECK_Y2, 10, GMP_RNDN); + if (mpfr_equal_p (y, x) == 0 || sign != 1) + { + printf ("mpfr_lgamma("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); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDU); + mpfr_set_prec (x, 175); + mpfr_set_str_binary (x, "0.1010001100011101101011001101110010100001000001000001110011000001101100001111001001000101011011100100010101011110100111110101010100010011010010000101010111001100011000101111E7"); + if (mpfr_equal_p (x, y) == 0 || sign != 1) + { + printf ("Error in mpfr_lgamma (1)\n"); + exit (1); + } + + mpfr_set_prec (x, 21); + mpfr_set_prec (y, 8); + mpfr_set_ui (y, 120, GMP_RNDN); + sign = -17; + mpfr_lgamma (x, &sign, y, GMP_RNDZ); + mpfr_set_prec (y, 21); + mpfr_set_str_binary (y, "0.111000101000001100101E9"); + if (mpfr_equal_p (x, y) == 0 || sign != 1) + { + printf ("Error in mpfr_lgamma (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"); + sign = -17; + inex = mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_prec (x, 206); + mpfr_set_str_binary (x, "0.10000111011000000011100010101001100110001110000111100011000100100110110010001011011110101001111011110110000001010100111011010000000011100110110101100111000111010011110010000100010111101010001101000110101001E13"); + if (mpfr_equal_p (x, y) == 0 || sign != 1) + { + printf ("Error in mpfr_lgamma (768)\n"); + exit (1); + } + if (inex >= 0) + { + printf ("Wrong flag for mpfr_lgamma (768)\n"); + exit (1); + } + + mpfr_set_prec (x, 4); + mpfr_set_prec (y, 4); + mpfr_set_str_binary (x, "0.1100E-66"); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, "0.1100E6"); + if (mpfr_equal_p (x, y) == 0 || sign != 1) + { + printf ("Error for lgamma(0.1100E-66)\n"); + printf ("Expected "); + mpfr_dump (x); + printf ("Got "); + mpfr_dump (y); + exit (1); + } + + mpfr_set_prec (x, 256); + mpfr_set_prec (y, 32); + mpfr_set_si_2exp (x, -1, 200, GMP_RNDN); + mpfr_add_ui (x, x, 1, GMP_RNDN); + mpfr_div_2ui (x, x, 1, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_prec (x, 32); + mpfr_set_str_binary (x, "-0.10001000111011111011000010100010E207"); + if (mpfr_equal_p (x, y) == 0 || sign != 1) + { + printf ("Error for lgamma(-2^199+0.5)\n"); + printf ("Got "); + mpfr_dump (y); + printf ("instead of "); + mpfr_dump (x); + exit (1); + } + + mpfr_set_prec (x, 256); + mpfr_set_prec (y, 32); + mpfr_set_si_2exp (x, -1, 200, GMP_RNDN); + mpfr_sub_ui (x, x, 1, GMP_RNDN); + mpfr_div_2ui (x, x, 1, GMP_RNDN); + sign = -17; + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_prec (x, 32); + mpfr_set_str_binary (x, "-0.10001000111011111011000010100010E207"); + if (mpfr_equal_p (x, y) == 0 || sign != -1) + { + printf ("Error for lgamma(-2^199-0.5)\n"); + printf ("Got "); + mpfr_dump (y); + printf ("with sign %d instead of ", sign); + mpfr_dump (x); + printf ("with sign -1.\n"); + exit (1); + } + + mpfr_set_prec (x, 10); + mpfr_set_prec (y, 10); + mpfr_set_str_binary (x, "-0.1101111000E-3"); + inex = mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, "10.01001011"); + if (mpfr_equal_p (x, y) == 0 || sign != -1 || inex >= 0) + { + printf ("Error for lgamma(-0.1101111000E-3)\n"); + printf ("Got "); + mpfr_dump (y); + printf ("instead of "); + mpfr_dump (x); + printf ("with sign %d instead of -1 (inex=%d).\n", sign, inex); + exit (1); + } + + mpfr_set_prec (x, 18); + mpfr_set_prec (y, 28); + mpfr_set_str_binary (x, "-1.10001101010001101e-196"); + inex = mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_prec (x, 28); + mpfr_set_str_binary (x, "0.100001110110101011011010011E8"); + MPFR_ASSERTN (mpfr_equal_p (x, y) && inex < 0); + + /* values reported by Kaveh Ghazi on 14 Jul 2007, where mpfr_lgamma() + takes forever */ +#define VAL1 "-0.11100001001010110111001010001001001011110100110000110E-55" +#define OUT1 "100110.01000000010111001110110101110101001001100110111" +#define VAL2 "-0.11100001001010110111001010001001001011110011111111100E-55" +#define OUT2 "100110.0100000001011100111011010111010100100110011111" +#define VAL3 "-0.11100001001010110111001010001001001001110101101010100E-55" +#define OUT3 "100110.01000000010111001110110101110101001011110111011" +#define VAL4 "-0.10001111110110110100100100000000001111110001001001011E-57" +#define OUT4 "101000.0001010111110011101101000101111111010001100011" +#define VAL5 "-0.10001111110110110100100100000000001111011111100001000E-57" +#define OUT5 "101000.00010101111100111011010001011111110100111000001" +#define VAL6 "-0.10001111110110110100100100000000001111011101100011001E-57" +#define OUT6 "101000.0001010111110011101101000101111111010011101111" + + mpfr_set_prec (x, 53); + mpfr_set_prec (y, 53); + + mpfr_set_str_binary (x, VAL1); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT1); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p(x, y)); + + mpfr_set_str_binary (x, VAL2); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT2); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + mpfr_set_str_binary (x, VAL3); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT3); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + mpfr_set_str_binary (x, VAL4); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT4); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + mpfr_set_str_binary (x, VAL5); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT5); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + mpfr_set_str_binary (x, VAL6); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, OUT6); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + /* further test from Kaveh Ghazi */ + mpfr_set_str_binary (x, "-0.10011010101001010010001110010111010111011101010111001E-53"); + mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, "100101.00111101101010000000101010111010001111001101111"); + MPFR_ASSERTN(sign == -1 && mpfr_equal_p (x, y)); + + /* bug found by Kevin Rauch on 26 Oct 2007 */ + emin = mpfr_get_emin (); + emax = mpfr_get_emax (); + mpfr_set_emin (-1000000000); + mpfr_set_emax (1000000000); + mpfr_set_ui (x, 1, GMP_RNDN); + mpfr_lgamma (x, &sign, x, GMP_RNDN); + MPFR_ASSERTN(mpfr_get_emin () == -1000000000); + MPFR_ASSERTN(mpfr_get_emax () == 1000000000); + mpfr_set_emin (emin); + mpfr_set_emax (emax); + + /* two other bugs reported by Kevin Rauch on 27 Oct 2007 */ + mpfr_set_prec (x, 128); + mpfr_set_prec (y, 128); + mpfr_set_str_binary (x, "0.11000110011110111111110010100110000000000000000000000000000000000000000000000000000000000000000001000011000110100100110111101010E-765689"); + inex = mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_str_binary (x, "10000001100100101111011011010000111010001001110000111010011000101001011111011111110011011010110100101111110111001001010100011101E-108"); + MPFR_ASSERTN(inex < 0 && mpfr_cmp (y, x) == 0 && sign > 0); + + mpfr_set_prec (x, 128); + mpfr_set_prec (y, 256); + mpfr_set_str_binary (x, "0.1011111111111111100000111011111E-31871"); + inex = mpfr_lgamma (y, &sign, x, GMP_RNDN); + mpfr_set_prec (x, 256); + mpfr_set_str (x, "AC9729B83707E6797612D0D76DAF42B1240A677FF1B6E3783FD4E53037143B1P-237", 16, GMP_RNDN); + MPFR_ASSERTN(inex < 0 && mpfr_cmp (y, x) == 0 && sign > 0); + + mpfr_clear (x); + mpfr_clear (y); +} + +static int +mpfr_lgamma1 (mpfr_ptr y, mpfr_srcptr x, mp_rnd_t r) +{ + int sign; + + return mpfr_lgamma (y, &sign, x, r); +} + +int +main (void) +{ + tests_start_mpfr (); + + special (); + test_generic (2, 100, 2); + + data_check ("data/lgamma", mpfr_lgamma1, "mpfr_lgamma"); + + tests_end_mpfr (); + return 0; +}