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Annotation of OpenXM_contrib/gmp/mpfr/tests/tfactorial.c, Revision 1.1.1.1

1.1       ohara       1: /* Test file for mpfr_factorial.
                      2:
                      3: Copyright 2001 Free Software Foundation.
                      4: Adapted from tarctan.c.
                      5:
                      6: This file is part of the MPFR Library.
                      7:
                      8: The MPFR Library is free software; you can redistribute it and/or modify
                      9: it under the terms of the GNU Lesser General Public License as published by
                     10: the Free Software Foundation; either version 2.1 of the License, or (at your
                     11: option) any later version.
                     12:
                     13: The MPFR Library is distributed in the hope that it will be useful, but
                     14: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
                     15: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
                     16: License for more details.
                     17:
                     18: You should have received a copy of the GNU Lesser General Public License
                     19: along with the MPFR Library; see the file COPYING.LIB.  If not, write to
                     20: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
                     21: MA 02111-1307, USA. */
                     22:
                     23: #include <stdio.h>
                     24: #include <stdlib.h>
                     25: #include "gmp.h"
                     26: #include "gmp-impl.h"
                     27: #include "mpfr.h"
                     28: #include "mpfr-impl.h"
                     29:
                     30: #define TEST_FUNCTION mpfr_fac_ui
                     31:
                     32: int
                     33: main (int argc, char *argv[])
                     34: {
                     35:   unsigned int prec, err, yprec, n, k, zeros;
                     36:   mp_rnd_t rnd;
                     37:   mpfr_t x, y, z, t;
                     38:   int inexact;
                     39:
                     40:   mpfr_init (x);
                     41:   mpfr_init (y);
                     42:   mpfr_init (z);
                     43:   mpfr_init (t);
                     44:
                     45:   mpfr_fac_ui (y, 0, GMP_RNDN);
                     46:
                     47:   if (mpfr_cmp_ui (y, 1))
                     48:     {
                     49:       printf ("mpfr_fac_ui(0) does not give 1\n");
                     50:       exit (1);
                     51:     }
                     52:
                     53:   for (prec = 2; prec <= 100; prec++)
                     54:     {
                     55:       mpfr_set_prec (x, prec);
                     56:       mpfr_set_prec (z, prec);
                     57:       mpfr_set_prec (t, prec);
                     58:       yprec = prec + 10;
                     59:       mpfr_set_prec (y, yprec);
                     60:
                     61:       for (n=0; n<100; n++)
                     62:        for (rnd=0; rnd<4; rnd++)
                     63:          {
                     64:            inexact = mpfr_fac_ui (y, n, rnd);
                     65:            err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
                     66:            if (mpfr_can_round (y, err, rnd, rnd, prec))
                     67:              {
                     68:                mpfr_set (t, y, rnd);
                     69:                inexact = mpfr_fac_ui (z, n, rnd);
                     70:                /* fact(n) ends with floor(n/2)+floor(n/4)+... zeros */
                     71:                for (k=n/2, zeros=0; k; k >>= 1)
                     72:                  zeros += k;
                     73:                if (MPFR_EXP(y) <= prec + zeros) /* result should be exact */
                     74:                  {
                     75:                    if (inexact)
                     76:                      {
                     77:                        fprintf (stderr, "Wrong inexact flag: expected exact\n");
                     78:                        exit (1);
                     79:                      }
                     80:                  }
                     81:                else /* result is inexact */
                     82:                  {
                     83:                    if (!inexact)
                     84:                      {
                     85:                        fprintf (stderr, "Wrong inexact flag: expected inexact\n");
                     86:                        printf ("n=%u prec=%u\n", n, prec);
                     87:                        mpfr_print_binary(z); putchar('\n');
                     88:                        exit (1);
                     89:                      }
                     90:                  }
                     91:                if (mpfr_cmp (t, z))
                     92:                  {
                     93:                    printf ("results differ for x=");
                     94:                    mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
                     95:                    printf (" prec=%u rnd_mode=%s\n", prec,
                     96:                            mpfr_print_rnd_mode (rnd));
                     97:                    printf ("   got ");
                     98:                    mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
                     99:                    putchar ('\n');
                    100:                    printf ("   expected ");
                    101:                    mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
                    102:                    putchar ('\n');
                    103:                    printf ("   approximation was ");
                    104:                    mpfr_print_binary (y);
                    105:                    putchar ('\n');
                    106:                    exit (1);
                    107:                  }
                    108:              }
                    109:          }
                    110:     }
                    111:
                    112:   mpfr_clear (x);
                    113:   mpfr_clear (y);
                    114:   mpfr_clear (z);
                    115:   mpfr_clear (t);
                    116:
                    117:   return 0;
                    118: }