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Annotation of OpenXM_contrib/gmp/mpfr/tests/tui_pow.c, Revision 1.1

1.1     ! ohara       1: /* Test file for mpfr_ui_pow.
        !             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: #include "mpfr-test.h"
        !            30:
        !            31:
        !            32: int
        !            33: main (int argc, char *argv[])
        !            34: {
        !            35:   mpfr_t x, y;
        !            36:   unsigned long int n;
        !            37:
        !            38:   mpfr_init (x);
        !            39:   mpfr_init (y);
        !            40:
        !            41:   n = abs(random());
        !            42:
        !            43:   MPFR_CLEAR_NAN(x);
        !            44:   MPFR_SET_INF(x);
        !            45:   mpfr_ui_pow (y, n, x, GMP_RNDN);
        !            46:   if(!MPFR_IS_INF(y))
        !            47:     {
        !            48:       printf ("evaluation of function in INF does not return INF\n");
        !            49:       exit (1);
        !            50:     }
        !            51:
        !            52:   MPFR_CHANGE_SIGN(x);
        !            53:   mpfr_ui_pow (y, n,x, GMP_RNDN);
        !            54:   if(!MPFR_IS_ZERO(y))
        !            55:     {
        !            56:       printf ("evaluation of function in -INF does not return 0");
        !            57:       exit (1);
        !            58:     }
        !            59:
        !            60:   MPFR_SET_NAN(x);
        !            61:   mpfr_ui_pow (y, n,x, GMP_RNDN);
        !            62:   if(!MPFR_IS_NAN(y))
        !            63:     {
        !            64:       printf ("evaluation of function in NAN does not return NAN");
        !            65:       exit (1);
        !            66:     }
        !            67:
        !            68:   {
        !            69:   mp_prec_t prec, yprec;
        !            70:   mpfr_t z, t;
        !            71:   mp_rnd_t rnd;
        !            72:   int inexact, compare, compare2;
        !            73:   unsigned int n, err;
        !            74:
        !            75:   int p0=2;
        !            76:   int p1=100;
        !            77:   int N=100;
        !            78:
        !            79:   mpfr_init (z);
        !            80:   mpfr_init (t);
        !            81:
        !            82:   /* generic test */
        !            83:   for (prec = p0; prec <= p1; prec++)
        !            84:     {
        !            85:       mpfr_set_prec (x, prec);
        !            86:       mpfr_set_prec (z, prec);
        !            87:       mpfr_set_prec (t, prec);
        !            88:       yprec = prec + 10;
        !            89:
        !            90:       for (n=0; n<N; n++)
        !            91:        {
        !            92:           int nt;
        !            93:           nt = abs(random());
        !            94:          mpfr_random (x);
        !            95:          rnd = random () % 4;
        !            96:          mpfr_set_prec (y, yprec);
        !            97:          compare = mpfr_ui_pow (y, nt, x, rnd);
        !            98:          err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
        !            99:          if (mpfr_can_round (y, err, rnd, rnd, prec))
        !           100:            {
        !           101:              mpfr_set (t, y, rnd);
        !           102:              inexact = mpfr_ui_pow (z, nt, x, rnd);
        !           103:              if (mpfr_cmp (t, z))
        !           104:                {
        !           105:                  printf ("results differ for x=");
        !           106:                  mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
        !           107:                   printf (" n= %i",nt);
        !           108:                  printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
        !           109:                          mpfr_print_rnd_mode (rnd));
        !           110:                  printf ("got      ");
        !           111:                  mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
        !           112:                  putchar ('\n');
        !           113:                  printf ("expected ");
        !           114:                  mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
        !           115:                  putchar ('\n');
        !           116:                  printf ("approx  ");
        !           117:                  mpfr_print_binary (y);
        !           118:                  putchar ('\n');
        !           119:                  exit (1);
        !           120:                }
        !           121:              compare2 = mpfr_cmp (t, y);
        !           122:              /* if rounding to nearest, cannot know the sign of t - f(x)
        !           123:                 because of composed rounding: y = o(f(x)) and t = o(y) */
        !           124:              if ((rnd != GMP_RNDN) && (compare * compare2 >= 0))
        !           125:                compare = compare + compare2;
        !           126:              else
        !           127:                compare = inexact; /* cannot determine sign(t-f(x)) */
        !           128:              if (((inexact == 0) && (compare != 0)) ||
        !           129:                  ((inexact > 0) && (compare <= 0)) ||
        !           130:                  ((inexact < 0) && (compare >= 0)))
        !           131:                {
        !           132:                  fprintf (stderr, "Wrong inexact flag for rnd=%s: expected %d, got %d\n",
        !           133:                           mpfr_print_rnd_mode (rnd), compare, inexact);
        !           134:                  printf ("x="); mpfr_print_binary (x); putchar ('\n');
        !           135:                  printf ("y="); mpfr_print_binary (y); putchar ('\n');
        !           136:                  printf ("t="); mpfr_print_binary (t); putchar ('\n');
        !           137:                  exit (1);
        !           138:                }
        !           139:            }
        !           140:        }
        !           141:     }
        !           142:
        !           143:   mpfr_clear (z);
        !           144:   mpfr_clear (t);
        !           145:   }
        !           146:
        !           147:   mpfr_clear (x);
        !           148:   mpfr_clear (y);
        !           149:
        !           150:   return 0;
        !           151: }

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