/* Test file for exceptions. Copyright 2001 Free Software Foundation. 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #include #include #include "gmp.h" #include "mpfr.h" void mpfr_set_double_range _PROTO((void)); void mpfr_set_double_range (void) { mpfr_set_default_prec (53); /* in double precision format, the unbiased exponent is between 0 and 2047, where 0 is used for subnormal numbers, and 2047 for special numbers (infinities, NaN), and the bias is 1023, thus "normal" numbers have an exponent between -1022 and 1023, corresponding to numbers between 2^(-1022) and previous(2^(1024)). (The smallest subnormal number is 0.(0^51)1*2^(-1022)= 2^(-1074).) The smallest normal power of two is 1.0*2^(-1022). The largest normal power of two is 2^1023. (We have to add one for mpfr since mantissa are between 1/2 and 1.) */ mpfr_set_emin (-1021); mpfr_set_emax (1024); } int main (int argc, char *argv[]) { mpfr_t x, y; mp_exp_t emin, emax; mpfr_init (x); mpfr_init (y); emin = mpfr_get_emin (); emax = mpfr_get_emax (); if (emin >= emax) { fprintf (stderr, "Error: emin >= emax\n"); exit (1); } mpfr_set_ui (x, 1, GMP_RNDN); mpfr_mul_2exp (x, x, 1024, GMP_RNDN); mpfr_set_double_range (); mpfr_check_range (x, GMP_RNDN); if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) { fprintf (stderr, "Error: 2^1024 rounded to nearest should give +Inf\n"); exit (1); } mpfr_set_emax (1025); mpfr_set_ui (x, 1, GMP_RNDN); mpfr_mul_2exp (x, x, 1024, GMP_RNDN); mpfr_set_double_range (); mpfr_check_range (x, GMP_RNDD); if (!mpfr_number_p (x)) { fprintf (stderr, "Error: 2^1024 rounded down should give a normal number\n"); exit (1); } mpfr_set_ui (x, 1, GMP_RNDN); mpfr_mul_2exp (x, x, 1023, GMP_RNDN); mpfr_add (x, x, x, GMP_RNDN); if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) { fprintf (stderr, "Error: x+x rounded to nearest for x=2^1023 should give +Inf\n"); printf ("emax = %ld\n", mpfr_get_emax ()); printf ("got "); mpfr_print_binary (x); putchar ('\n'); exit (1); } mpfr_set_ui (x, 1, GMP_RNDN); mpfr_mul_2exp (x, x, 1023, GMP_RNDN); mpfr_add (x, x, x, GMP_RNDD); if (!mpfr_number_p (x)) { fprintf (stderr, "Error: x+x rounded down for x=2^1023 should give a normal number\n"); exit (1); } mpfr_set_ui (x, 1, GMP_RNDN); mpfr_div_2exp (x, x, 1022, GMP_RNDN); mpfr_set_str_raw (y, "1.1e-1022"); /* y = 3/2*x */ mpfr_sub (y, y, x, GMP_RNDZ); if (mpfr_cmp_ui (y, 0)) { fprintf (stderr, "Error: y-x rounded to zero should give 0 for y=3/2*2^(-1022), x=2^(-1022)\n"); printf ("y="); mpfr_print_binary (y); putchar ('\n'); exit (1); } mpfr_clear (x); mpfr_clear (y); return 0; }