/* Test file for exceptions. Copyright 2001-2015 Free Software Foundation, Inc. Contributed by the AriC and Caramel projects, INRIA. This file is part of the GNU MPFR Library. The GNU 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 3 of the License, or (at your option) any later version. The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpfr-test.h" #define ERROR(s) do { printf(s"\n"); exit(1); } while(0) /* Test powerof2 */ static void check_powerof2 (void) { mpfr_t x; mpfr_init (x); mpfr_set_ui (x, 1, MPFR_RNDN); MPFR_ASSERTN (mpfr_powerof2_raw (x)); mpfr_set_ui (x, 3, MPFR_RNDN); MPFR_ASSERTN (!mpfr_powerof2_raw (x)); mpfr_clear (x); } /* Test default rounding mode */ static void check_default_rnd (void) { int r; mpfr_rnd_t t; for(r = 0 ; r < MPFR_RND_MAX ; r++) { mpfr_set_default_rounding_mode ((mpfr_rnd_t) r); t = (mpfr_get_default_rounding_mode) (); if ((mpfr_rnd_t) r != t) { printf ("%s %s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) r), mpfr_print_rnd_mode (t)); ERROR("ERROR in setting / getting default rounding mode (1)"); } } mpfr_set_default_rounding_mode ((mpfr_rnd_t) MPFR_RND_MAX); if (mpfr_get_default_rounding_mode() != MPFR_RNDA) ERROR("ERROR in setting / getting default rounding mode (2)"); mpfr_set_default_rounding_mode((mpfr_rnd_t) -1); if (mpfr_get_default_rounding_mode() != MPFR_RNDA) ERROR("ERROR in setting / getting default rounding mode (3)"); } static void check_emin_emax (void) { mpfr_exp_t old_emin, old_emax; old_emin = mpfr_get_emin (); old_emax = mpfr_get_emax (); /* Check the functions not the macros ! */ if ((mpfr_set_emin)(MPFR_EMIN_MIN) != 0) ERROR("set_emin failed!"); if ((mpfr_get_emin)() != MPFR_EMIN_MIN) ERROR("get_emin FAILED!"); if ((mpfr_set_emin)(MPFR_EMIN_MIN-1) == 0) ERROR("set_emin failed! (2)"); if ((mpfr_set_emax)(MPFR_EMAX_MAX) != 0) ERROR("set_emax failed!"); if ((mpfr_get_emax)() != MPFR_EMAX_MAX) ERROR("get_emax FAILED!"); if ((mpfr_set_emax)(MPFR_EMAX_MAX+1) == 0) ERROR("set_emax failed! (2)"); if ((mpfr_get_emin_min) () != MPFR_EMIN_MIN) ERROR ("get_emin_min"); if ((mpfr_get_emin_max) () != MPFR_EMIN_MAX) ERROR ("get_emin_max"); if ((mpfr_get_emax_min) () != MPFR_EMAX_MIN) ERROR ("get_emax_min"); if ((mpfr_get_emax_max) () != MPFR_EMAX_MAX) ERROR ("get_emax_max"); set_emin (old_emin); set_emax (old_emax); } static void check_set_get_prec (void) { mpfr_t x; mpfr_init2 (x, 17); if (mpfr_get_prec (x) != 17 || (mpfr_get_prec)(x) != 17) ERROR ("mpfr_get_prec"); mpfr_clear (x); } static void mpfr_set_double_range (void) { mpfr_set_default_prec (54); if (mpfr_get_default_prec () != 54) ERROR ("get_default_prec failed (1)"); mpfr_set_default_prec (53); if ((mpfr_get_default_prec) () != 53) ERROR ("get_default_prec failed (2)"); /* 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.) */ set_emin (-1021); set_emax (1024); } static void check_flags (void) { mpfr_t x; mpfr_exp_t old_emin, old_emax; old_emin = mpfr_get_emin (); old_emax = mpfr_get_emax (); mpfr_init (x); /* Check the functions not the macros ! */ (mpfr_clear_flags)(); mpfr_set_double_range (); mpfr_set_ui (x, 1, MPFR_RNDN); (mpfr_clear_overflow)(); mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); if (!(mpfr_overflow_p)()) ERROR("ERROR: No overflow detected!\n"); (mpfr_clear_underflow)(); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_div_2exp (x, x, 1025, MPFR_RNDN); if (!(mpfr_underflow_p)()) ERROR("ERROR: No underflow detected!\n"); (mpfr_clear_nanflag)(); MPFR_SET_NAN(x); mpfr_add (x, x, x, MPFR_RNDN); if (!(mpfr_nanflag_p)()) ERROR("ERROR: No NaN flag!\n"); (mpfr_clear_inexflag)(); mpfr_set_ui(x, 2, MPFR_RNDN); mpfr_cos(x, x, MPFR_RNDN); if (!(mpfr_inexflag_p)()) ERROR("ERROR: No inexact flag!\n"); (mpfr_clear_erangeflag) (); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); mpfr_get_ui (x, MPFR_RNDN); if (!(mpfr_erangeflag_p)()) ERROR ("ERROR: No erange flag!\n"); mpfr_clear (x); set_emin (old_emin); set_emax (old_emax); } static void test_set_underflow (void) { mpfr_t x, zero, min; mpfr_ptr r[MPFR_RND_MAX]; int t[MPFR_RND_MAX] = { 1, -1, 1, -1, 1 }; /* RNDN, RNDZ, RNDU, RNDD, RNDA */ int i; int s; mpfr_inits (x, zero, min, (mpfr_ptr) 0); mpfr_set_ui (zero, 0, MPFR_RNDN); mpfr_set_ui (min, 0, MPFR_RNDN); mpfr_nextabove (min); r[0] = r[2] = r[4] = min; /* RNDN, RNDU, RNDA */ r[1] = r[3] = zero; /* RNDZ, RNDD */ for (s = 1; s > 0; s = -1) { for (i = 0; i < MPFR_RND_MAX ; i++) { int j; int inex; j = s < 0 && i > 1 ? 5 - i : i; inex = mpfr_underflow (x, (mpfr_rnd_t) i, s); if (mpfr_cmp (x, r[j]) || inex * t[j] <= 0) { printf ("Error in test_set_underflow, sign = %d," " rnd_mode = %s\n", s, mpfr_print_rnd_mode ((mpfr_rnd_t) i)); printf ("Got\n"); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf (", inex = %d\ninstead of\n", inex); mpfr_out_str (stdout, 2, 0, r[j], MPFR_RNDN); printf (", inex = %d\n", t[j]); exit (1); } } mpfr_neg (zero, zero, MPFR_RNDN); mpfr_neg (min, min, MPFR_RNDN); } mpfr_clears (x, zero, min, (mpfr_ptr) 0); } static void test_set_overflow (void) { mpfr_t x, inf, max; mpfr_ptr r[MPFR_RND_MAX]; int t[MPFR_RND_MAX] = { 1, -1, 1, -1, 1 }; /* RNDN, RNDZ, RNDU, RNDD, RNDA */ int i; int s; mpfr_inits2 (32, x, inf, max, (mpfr_ptr) 0); mpfr_set_inf (inf, 1); mpfr_set_inf (max, 1); mpfr_nextbelow (max); r[0] = r[2] = r[4] = inf; /* RNDN, RNDU, RNDA */ r[1] = r[3] = max; /* RNDZ, RNDD */ for (s = 1; s > 0; s = -1) { for (i = 0; i < MPFR_RND_MAX ; i++) { int j; int inex; j = s < 0 && i > 1 ? 5 - i : i; inex = mpfr_overflow (x, (mpfr_rnd_t) i, s); if (mpfr_cmp (x, r[j]) || inex * t[j] <= 0) { printf ("Error in test_set_overflow, sign = %d," " rnd_mode = %s\n", s, mpfr_print_rnd_mode ((mpfr_rnd_t) i)); printf ("Got\n"); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf (", inex = %d\ninstead of\n", inex); mpfr_out_str (stdout, 2, 0, r[j], MPFR_RNDN); printf (", inex = %d\n", t[j]); exit (1); } } mpfr_neg (inf, inf, MPFR_RNDN); mpfr_neg (max, max, MPFR_RNDN); } mpfr_clears (x, inf, max, (mpfr_ptr) 0); } static void check_set (void) { mpfr_clear_flags (); mpfr_set_overflow (); MPFR_ASSERTN ((mpfr_overflow_p) ()); mpfr_set_underflow (); MPFR_ASSERTN ((mpfr_underflow_p) ()); mpfr_set_divby0 (); MPFR_ASSERTN ((mpfr_divby0_p) ()); mpfr_set_nanflag (); MPFR_ASSERTN ((mpfr_nanflag_p) ()); mpfr_set_inexflag (); MPFR_ASSERTN ((mpfr_inexflag_p) ()); mpfr_set_erangeflag (); MPFR_ASSERTN ((mpfr_erangeflag_p) ()); MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_ALL); mpfr_clear_overflow (); MPFR_ASSERTN (! (mpfr_overflow_p) ()); mpfr_clear_underflow (); MPFR_ASSERTN (! (mpfr_underflow_p) ()); mpfr_clear_divby0 (); MPFR_ASSERTN (! (mpfr_divby0_p) ()); mpfr_clear_nanflag (); MPFR_ASSERTN (! (mpfr_nanflag_p) ()); mpfr_clear_inexflag (); MPFR_ASSERTN (! (mpfr_inexflag_p) ()); mpfr_clear_erangeflag (); MPFR_ASSERTN (! (mpfr_erangeflag_p) ()); MPFR_ASSERTN (__gmpfr_flags == 0); (mpfr_set_overflow) (); MPFR_ASSERTN (mpfr_overflow_p ()); (mpfr_set_underflow) (); MPFR_ASSERTN (mpfr_underflow_p ()); (mpfr_set_divby0) (); MPFR_ASSERTN (mpfr_divby0_p ()); (mpfr_set_nanflag) (); MPFR_ASSERTN (mpfr_nanflag_p ()); (mpfr_set_inexflag) (); MPFR_ASSERTN (mpfr_inexflag_p ()); (mpfr_set_erangeflag) (); MPFR_ASSERTN (mpfr_erangeflag_p ()); MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_ALL); (mpfr_clear_overflow) (); MPFR_ASSERTN (! mpfr_overflow_p ()); (mpfr_clear_underflow) (); MPFR_ASSERTN (! mpfr_underflow_p ()); (mpfr_clear_divby0) (); MPFR_ASSERTN (! mpfr_divby0_p ()); (mpfr_clear_nanflag) (); MPFR_ASSERTN (! mpfr_nanflag_p ()); (mpfr_clear_inexflag) (); MPFR_ASSERTN (! mpfr_inexflag_p ()); (mpfr_clear_erangeflag) (); MPFR_ASSERTN (! mpfr_erangeflag_p ()); MPFR_ASSERTN (__gmpfr_flags == 0); } int main (int argc, char *argv[]) { mpfr_t x, y; mpfr_exp_t emin, emax; tests_start_mpfr (); test_set_underflow (); test_set_overflow (); check_default_rnd(); mpfr_init (x); mpfr_init (y); emin = mpfr_get_emin (); emax = mpfr_get_emax (); if (emin >= emax) { printf ("Error: emin >= emax\n"); exit (1); } mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); mpfr_set_double_range (); mpfr_check_range (x, 0, MPFR_RNDN); if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) { printf ("Error: 2^1024 rounded to nearest should give +Inf\n"); exit (1); } set_emax (1025); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_mul_2exp (x, x, 1024, MPFR_RNDN); mpfr_set_double_range (); mpfr_check_range (x, 0, MPFR_RNDD); if (!mpfr_number_p (x)) { printf ("Error: 2^1024 rounded down should give a normal number\n"); exit (1); } mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_mul_2exp (x, x, 1023, MPFR_RNDN); mpfr_add (x, x, x, MPFR_RNDN); if (!mpfr_inf_p (x) || (mpfr_sgn(x) <= 0)) { printf ("Error: x+x rounded to nearest for x=2^1023 should give +Inf\n"); printf ("emax = %ld\n", (long) mpfr_get_emax ()); printf ("got "); mpfr_print_binary (x); puts (""); exit (1); } mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_mul_2exp (x, x, 1023, MPFR_RNDN); mpfr_add (x, x, x, MPFR_RNDD); if (!mpfr_number_p (x)) { printf ("Error: x+x rounded down for x=2^1023 should give" " a normal number\n"); exit (1); } mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_div_2exp (x, x, 1022, MPFR_RNDN); mpfr_set_str_binary (y, "1.1e-1022"); /* y = 3/2*x */ mpfr_sub (y, y, x, MPFR_RNDZ); if (mpfr_cmp_ui (y, 0)) { printf ("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); puts (""); exit (1); } set_emin (-1026); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_div_2exp (x, x, 1025, MPFR_RNDN); mpfr_set_double_range (); mpfr_check_range (x, 0, MPFR_RNDN); if (!MPFR_IS_ZERO (x) ) { printf ("Error: x rounded to nearest for x=2^-1024 should give Zero\n"); printf ("emin = %ld\n", (long) mpfr_get_emin ()); printf ("got "); mpfr_dump (x); exit (1); } mpfr_clear (x); mpfr_clear (y); set_emin (emin); set_emax (emax); check_emin_emax(); check_flags(); check_set_get_prec (); check_powerof2 (); check_set (); tests_end_mpfr (); return 0; }