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

1.1     ! ohara       1: /* Test file for exceptions.
        !             2:
        !             3: Copyright 2001 Free Software Foundation.
        !             4:
        !             5: This file is part of the MPFR Library.
        !             6:
        !             7: The MPFR Library is free software; you can redistribute it and/or modify
        !             8: it under the terms of the GNU Lesser General Public License as published by
        !             9: the Free Software Foundation; either version 2.1 of the License, or (at your
        !            10: option) any later version.
        !            11:
        !            12: The MPFR Library is distributed in the hope that it will be useful, but
        !            13: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
        !            14: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
        !            15: License for more details.
        !            16:
        !            17: You should have received a copy of the GNU Lesser General Public License
        !            18: along with the MPFR Library; see the file COPYING.LIB.  If not, write to
        !            19: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
        !            20: MA 02111-1307, USA. */
        !            21:
        !            22: #include <stdio.h>
        !            23: #include <stdlib.h>
        !            24: #include "gmp.h"
        !            25: #include "mpfr.h"
        !            26:
        !            27: void mpfr_set_double_range _PROTO((void));
        !            28:
        !            29: void
        !            30: mpfr_set_double_range (void)
        !            31: {
        !            32:   mpfr_set_default_prec (53);
        !            33:
        !            34:   /* in double precision format, the unbiased exponent is between 0 and
        !            35:      2047, where 0 is used for subnormal numbers, and 2047 for special
        !            36:      numbers (infinities, NaN), and the bias is 1023, thus "normal" numbers
        !            37:      have an exponent between -1022 and 1023, corresponding to numbers
        !            38:      between 2^(-1022) and previous(2^(1024)).
        !            39:      (The smallest subnormal number is 0.(0^51)1*2^(-1022)= 2^(-1074).)
        !            40:
        !            41:      The smallest normal power of two is 1.0*2^(-1022).
        !            42:      The largest normal power of two is 2^1023.
        !            43:      (We have to add one for mpfr since mantissa are between 1/2 and 1.)
        !            44:   */
        !            45:
        !            46:   mpfr_set_emin (-1021);
        !            47:   mpfr_set_emax (1024);
        !            48: }
        !            49:
        !            50: int
        !            51: main (int argc, char *argv[])
        !            52: {
        !            53:   mpfr_t x, y;
        !            54:   mp_exp_t emin, emax;
        !            55:
        !            56:   mpfr_init (x);
        !            57:   mpfr_init (y);
        !            58:
        !            59:   emin = mpfr_get_emin ();
        !            60:   emax = mpfr_get_emax ();
        !            61:   if (emin >= emax)
        !            62:     {
        !            63:       fprintf (stderr, "Error: emin >= emax\n");
        !            64:       exit (1);
        !            65:     }
        !            66:
        !            67:   mpfr_set_ui (x, 1, GMP_RNDN);
        !            68:   mpfr_mul_2exp (x, x, 1024, GMP_RNDN);
        !            69:   mpfr_set_double_range ();
        !            70:   mpfr_check_range (x, GMP_RNDN);
        !            71:   if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0))
        !            72:     {
        !            73:       fprintf (stderr, "Error: 2^1024 rounded to nearest should give +Inf\n");
        !            74:       exit (1);
        !            75:     }
        !            76:
        !            77:   mpfr_set_emax (1025);
        !            78:   mpfr_set_ui (x, 1, GMP_RNDN);
        !            79:   mpfr_mul_2exp (x, x, 1024, GMP_RNDN);
        !            80:   mpfr_set_double_range ();
        !            81:   mpfr_check_range (x, GMP_RNDD);
        !            82:   if (!mpfr_number_p (x))
        !            83:     {
        !            84:       fprintf (stderr, "Error: 2^1024 rounded down should give a normal number\n");
        !            85:       exit (1);
        !            86:     }
        !            87:
        !            88:   mpfr_set_ui (x, 1, GMP_RNDN);
        !            89:   mpfr_mul_2exp (x, x, 1023, GMP_RNDN);
        !            90:   mpfr_add (x, x, x, GMP_RNDN);
        !            91:   if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0))
        !            92:     {
        !            93:       fprintf (stderr, "Error: x+x rounded to nearest for x=2^1023 should give +Inf\n");
        !            94:       printf ("emax = %ld\n", mpfr_get_emax ());
        !            95:       printf ("got "); mpfr_print_binary (x); putchar ('\n');
        !            96:       exit (1);
        !            97:     }
        !            98:
        !            99:   mpfr_set_ui (x, 1, GMP_RNDN);
        !           100:   mpfr_mul_2exp (x, x, 1023, GMP_RNDN);
        !           101:   mpfr_add (x, x, x, GMP_RNDD);
        !           102:   if (!mpfr_number_p (x))
        !           103:     {
        !           104:       fprintf (stderr, "Error: x+x rounded down for x=2^1023 should give a normal number\n");
        !           105:       exit (1);
        !           106:     }
        !           107:
        !           108:   mpfr_set_ui (x, 1, GMP_RNDN);
        !           109:   mpfr_div_2exp (x, x, 1022, GMP_RNDN);
        !           110:   mpfr_set_str_raw (y, "1.1e-1022"); /* y = 3/2*x */
        !           111:   mpfr_sub (y, y, x, GMP_RNDZ);
        !           112:   if (mpfr_cmp_ui (y, 0))
        !           113:     {
        !           114:       fprintf (stderr, "Error: y-x rounded to zero should give 0 for y=3/2*2^(-1022), x=2^(-1022)\n");
        !           115:       printf ("y="); mpfr_print_binary (y); putchar ('\n');
        !           116:       exit (1);
        !           117:     }
        !           118:
        !           119:   mpfr_clear (x);
        !           120:   mpfr_clear (y);
        !           121:
        !           122:   return 0;
        !           123: }