buildtools/gcc/mpfr/tests/tlngamma.c

/* mpfr_tlngamma -- test file for lngamma function

Copyright 2005, 2006, 2007 Free Software Foundation, Inc.
Contributed by the Arenaire and Cacao projects, INRIA.

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 St, 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_IS_NAN (y) || 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_IS_NAN (y) || 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_IS_NAN (y) || 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 "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_IS_NAN (y) || 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_lngamma (y, x, GMP_RNDU);
  mpfr_set_prec (x, 175);
  mpfr_set_str_binary (x, "0.1010001100011101101011001101110010100001000001000001110011000001101100001111001001000101011011100100010101011110100111110101010100010011010010000101010111001100011000101111E7");
  if (MPFR_IS_NAN (y) || 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_IS_NAN (x) || 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_IS_NAN (y) || 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_IS_NAN (y) || mpfr_cmp (x, y))
    {
      printf ("Error for lngamma(0.1100E-66)\n");
      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);
  mpfr_lngamma (y, x, GMP_RNDN);
  mpfr_set_prec (x, 32);
  mpfr_set_str_binary (x, "-0.10001000111011111011000010100010E207");
  if (MPFR_IS_NAN (y) || mpfr_cmp (x, y))
    {
      printf ("Error for lngamma(-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);
  mpfr_lngamma (y, x, GMP_RNDN);
  if (!mpfr_nan_p (y))
    {
      printf ("Error for lngamma(-2^199-0.5)\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;
}