/* Test file for mpfr_set_float128 and mpfr_get_float128. Copyright 2012-2021 Free Software Foundation, Inc. Contributed by the AriC and Caramba 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 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ /* Needed due to the test on MPFR_WANT_FLOAT128 */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #ifdef MPFR_WANT_FLOAT128 #include "mpfr-test.h" #include "ieee_floats.h" static void check_special (void) { _Float128 f; mpfr_t x; mpfr_init2 (x, 113); #if !defined(MPFR_ERRDIVZERO) /* check NaN */ f = MPFR_DBL_NAN; mpfr_set_float128 (x, f, MPFR_RNDN); if (! mpfr_nan_p (x)) { printf ("Error in mpfr_set_float128(x, NaN)\n"); exit (1); } f = mpfr_get_float128 (x, MPFR_RNDN); if (! DOUBLE_ISNAN (f)) { printf ("Error in mpfr_get_float128(NaN)\n"); printf ("got %f\n", (double) f); exit (1); } /* check +Inf */ f = MPFR_DBL_INFP; mpfr_set_float128 (x, f, MPFR_RNDN); if (! mpfr_inf_p (x) || MPFR_IS_NEG (x)) { printf ("Error in mpfr_set_float128(x, +Inf)\n"); exit (1); } f = mpfr_get_float128 (x, MPFR_RNDN); if (f != MPFR_DBL_INFP) { printf ("Error in mpfr_get_float128(+Inf)\n"); exit (1); } /* check -Inf */ f = MPFR_DBL_INFM; mpfr_set_float128 (x, f, MPFR_RNDN); if (! mpfr_inf_p (x) || MPFR_IS_POS (x)) { printf ("Error in mpfr_set_float128(x, -Inf)\n"); exit (1); } f = mpfr_get_float128 (x, MPFR_RNDN); if (f != MPFR_DBL_INFM) { printf ("Error in mpfr_get_float128(-Inf)\n"); exit (1); } #endif /* check +0 */ f = 0.0; mpfr_set_float128 (x, f, MPFR_RNDN); if (! mpfr_zero_p (x) || MPFR_IS_NEG (x)) { printf ("Error in mpfr_set_float128(x, +0)\n"); exit (1); } f = mpfr_get_float128 (x, MPFR_RNDN); if (f != 0.0) /* the sign is not checked */ { printf ("Error in mpfr_get_float128(+0.0)\n"); exit (1); } #if !defined(MPFR_ERRDIVZERO) && defined(HAVE_SIGNEDZ) if (1 / f != MPFR_DBL_INFP) /* check the sign */ { printf ("Error in mpfr_get_float128(+0.0)\n"); exit (1); } #endif /* check -0 */ f = -0.0; mpfr_set_float128 (x, f, MPFR_RNDN); if (! mpfr_zero_p (x)) { printf ("Error in mpfr_set_float128(x, -0)\n"); exit (1); } #if defined(HAVE_SIGNEDZ) if (MPFR_IS_POS (x)) { printf ("Error in mpfr_set_float128(x, -0)\n"); exit (1); } #endif f = mpfr_get_float128 (x, MPFR_RNDN); if (f != -0.0) /* the sign is not checked */ { printf ("Error in mpfr_get_float128(-0.0)\n"); exit (1); } #if !defined(MPFR_ERRDIVZERO) && defined(HAVE_SIGNEDZ) if (1 / f != MPFR_DBL_INFM) /* check the sign */ { printf ("Error in mpfr_get_float128(-0.0)\n"); exit (1); } #endif mpfr_clear (x); } static void check_large (void) { mpfr_exp_t emin, emax; _Float128 f, e; int i; mpfr_t x, y; int r; int red; emin = mpfr_get_emin (); emax = mpfr_get_emax (); mpfr_init2 (x, 113); mpfr_init2 (y, 113); /* check with the largest float128 number 2^16384*(1-2^(-113)) */ for (f = 1.0, i = 0; i < 113; i++) f = f + f; f = f - (_Float128) 1.0; mpfr_set_ui (y, 1, MPFR_RNDN); mpfr_mul_2ui (y, y, 113, MPFR_RNDN); mpfr_sub_ui (y, y, 1, MPFR_RNDN); for (i = 113; i < 16384; i++) { RND_LOOP (r) { mpfr_set_float128 (x, f, (mpfr_rnd_t) r); if (! mpfr_equal_p (x, y)) { printf ("mpfr_set_float128 failed for 2^%d*(1-2^(-113)) rnd=%s\n", i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("got "); mpfr_dump (x); exit (1); } for (red = 0; red < 2; red++) { if (red) { mpfr_exp_t ex; if (MPFR_IS_SINGULAR (x)) break; ex = MPFR_GET_EXP (x); set_emin (ex); set_emax (ex); } e = mpfr_get_float128 (x, (mpfr_rnd_t) r); set_emin (emin); set_emax (emax); if (e != f) { printf ("mpfr_get_float128 failed for 2^%d*(1-2^(-113))" " rnd=%s%s\n", i, mpfr_print_rnd_mode ((mpfr_rnd_t) r), red ? ", reduced exponent range" : ""); exit (1); } } } /* check with opposite number */ f = -f; mpfr_neg (y, y, MPFR_RNDN); RND_LOOP (r) { mpfr_set_float128 (x, f, (mpfr_rnd_t) r); if (! mpfr_equal_p (x, y)) { printf ("mpfr_set_float128 failed for -2^%d*(1-2^(-113)) rnd=%s\n", i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("got "); mpfr_dump (x); exit (1); } e = mpfr_get_float128 (x, (mpfr_rnd_t) r); if (e != f) { printf ("mpfr_get_float128 failed for -2^%d*(1-2^(-113)) rnd=%s\n", i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); exit (1); } } f = -f; mpfr_neg (y, y, MPFR_RNDN); f = f + f; mpfr_add (y, y, y, MPFR_RNDN); } mpfr_clear (x); mpfr_clear (y); } static void check_small (void) { int t[5] = { 1, 2, 17, 111, 112 }; mpfr_exp_t emin; _Float128 e, f; int i, j, neg, inex, r; mpfr_t w, x, y, z; emin = mpfr_get_emin (); mpfr_inits2 (113, w, x, y, z, (mpfr_ptr) 0); f = 1.0; mpfr_set_ui (y, 1, MPFR_RNDN); for (i = 0; i > -16500; i--) { for (j = 0; j < 5; j++) { mpfr_div_2ui (z, y, t[j], MPFR_RNDN); inex = mpfr_add (z, z, y, MPFR_RNDN); MPFR_ASSERTN (inex == 0); /* z = y (1 + 2^(-t[j]) */ for (neg = 0; neg < 2; neg++) { RND_LOOP_NO_RNDF (r) { if (j == 0 && f != 0) { /* This test does not depend on j. */ mpfr_set_float128 (x, f, (mpfr_rnd_t) r); if (! mpfr_equal_p (x, y)) { printf ("mpfr_set_float128 failed for " "%c2^(%d) rnd=%s\n", neg ? '-' : '+', i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("got "); mpfr_dump (x); exit (1); } e = mpfr_get_float128 (x, (mpfr_rnd_t) r); if (e != f) { printf ("mpfr_get_float128 failed for " "%c2^(%d) rnd=%s\n", neg ? '-' : '+', i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); exit (1); } } if (i < -16378) { /* Subnormals or close to subnormals... Here we mainly test mpfr_get_float128. */ e = mpfr_get_float128 (z, (mpfr_rnd_t) r); mpfr_set_float128 (x, e, MPFR_RNDN); /* exact */ inex = mpfr_set (w, z, MPFR_RNDN); MPFR_ASSERTN (inex == 0); set_emin (-16493); inex = mpfr_check_range (w, 0, (mpfr_rnd_t) r); mpfr_subnormalize (w, inex, (mpfr_rnd_t) r); set_emin (emin); if (! mpfr_equal_p (x, w)) { printf ("mpfr_get_float128 failed for " "%c(2^(%d))(1+2^(-%d)) rnd=%s\n", neg ? '-' : '+', i, t[j], mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("expected "); mpfr_dump (w); printf ("got "); mpfr_dump (x); exit (1); } } } f = -f; mpfr_neg (y, y, MPFR_RNDN); mpfr_neg (z, z, MPFR_RNDN); } } f = 0.5 * f; mpfr_div_2ui (y, y, 1, MPFR_RNDN); } mpfr_clears (w, x, y, z, (mpfr_ptr) 0); } int main (int argc, char *argv[]) { tests_start_mpfr (); check_special (); check_large (); check_small (); tests_end_mpfr (); return 0; } #else /* MPFR_WANT_FLOAT128 */ /* dummy main to say this test is ignored */ int main (void) { return 77; } #endif /* MPFR_WANT_FLOAT128 */