/* Test file for mpfr_exp2m1. Copyright 2001-2021 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. */ #include "mpfr-test.h" #define TEST_FUNCTION mpfr_exp2m1 #define TEST_RANDOM_EMIN -36 #define TEST_RANDOM_EMAX 36 #include "tgeneric.c" static void special (void) { mpfr_t x, y; int i; mpfr_init2 (x, 2); mpfr_init2 (y, 2); mpfr_set_nan (x); mpfr_exp2m1 (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error for exp2m1(NaN)\n"); exit (1); } mpfr_set_inf (x, 1); mpfr_exp2m1 (y, x, MPFR_RNDN); if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) { printf ("Error for exp2m1(+Inf)\n"); exit (1); } mpfr_set_inf (x, -1); mpfr_exp2m1 (y, x, MPFR_RNDN); if (mpfr_cmp_si (y, -1) != 0) { printf ("Error for exp2m1(-Inf)\n"); exit (1); } mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_exp2m1 (y, x, MPFR_RNDN); if (MPFR_NOTZERO (y) || MPFR_IS_NEG (y)) { printf ("Error for exp2m1(+0)\n"); exit (1); } mpfr_neg (x, x, MPFR_RNDN); mpfr_exp2m1 (y, x, MPFR_RNDN); if (MPFR_NOTZERO (y) || MPFR_IS_POS (y)) { printf ("Error for exp2m1(-0)\n"); exit (1); } /* Check overflow of exp2m1(x) */ mpfr_clear_flags (); mpfr_set_str_binary (x, "1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDN); MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x)); MPFR_ASSERTN (mpfr_overflow_p ()); MPFR_ASSERTN (i > 0); mpfr_clear_flags (); mpfr_set_str_binary (x, "1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDU); MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x)); MPFR_ASSERTN (mpfr_overflow_p ()); MPFR_ASSERTN (i > 0); mpfr_clear_flags (); mpfr_set_str_binary (x, "1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDD); MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_POS (x)); MPFR_ASSERTN (mpfr_overflow_p ()); MPFR_ASSERTN (i < 0); /* Check internal underflow of exp2m1 (x) */ mpfr_set_prec (x, 2); mpfr_clear_flags (); mpfr_set_str_binary (x, "-1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0); MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ()); MPFR_ASSERTN (i < 0); mpfr_set_str_binary (x, "-1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDD); MPFR_ASSERTN (mpfr_cmp_si (x, -1) == 0); MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ()); MPFR_ASSERTN (i < 0); mpfr_set_str_binary (x, "-1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDZ); MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0); MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ()); MPFR_ASSERTN (i > 0); mpfr_set_str_binary (x, "-1.1E1000000000"); i = mpfr_exp2m1 (x, x, MPFR_RNDU); MPFR_ASSERTN (mpfr_cmp_str (x, "-0.11", 2, MPFR_RNDN) == 0); MPFR_ASSERTN (!mpfr_overflow_p () && !mpfr_underflow_p ()); MPFR_ASSERTN (i > 0); /* hard-coded test */ mpfr_set_prec (x, 32); mpfr_set_prec (y, 32); mpfr_set_ui_2exp (x, 1686629713UL, -29, MPFR_RNDN); /* approximates Pi */ i = mpfr_exp2m1 (y, x, MPFR_RNDN); MPFR_ASSERTN (mpfr_cmp_ui_2exp (y, 2100501491UL, -28) == 0); MPFR_ASSERTN (i < 0); mpfr_clear (x); mpfr_clear (y); } /* test integer x, -100 <= x <= 100, where 2^x-1 is exact */ static void test_exact (void) { long k; mpfr_t x, y, z; mpz_t n; mpfr_prec_t p; int i, j, r; mpfr_init2 (x, 7); /* 100 is exact within 7 bits */ mpfr_init2 (y, MPFR_PREC_MIN); mpfr_init2 (z, MPFR_PREC_MIN); mpz_init_set_ui (n, 1); for (k = 1; k <= 100; k++) { /* invariant: n = 2^k-1 */ for (p = MPFR_PREC_MIN; p <= 100; p++) { mpfr_set_prec (y, p); mpfr_set_prec (z, p); mpfr_set_si (x, k, MPFR_RNDN); /* for RNDF, result may differ */ RND_LOOP_NO_RNDF(r) { i = mpfr_exp2m1 (y, x, (mpfr_rnd_t) r); j = mpfr_set_z (z, n, (mpfr_rnd_t) r); if (!mpfr_equal_p (y, z)) { printf ("Error for mpfr_exp2m1, x=%ld, rnd=%s\n", k, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("expected "); mpfr_dump (z); printf ("got "); mpfr_dump (y); exit (1); } if ((i == 0 && j != 0) || (i != 0 && j == 0) || (i * j < 0)) { printf ("Bar ternary value for mpfr_exp2m1, x=%ld, rnd=%s\n", k, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("expected %d\n", j); printf ("got %d\n", i); exit (1); } } mpfr_set_si (x, -k, MPFR_RNDN); /* 1/2^k-1 = (1-2^k)/2^k = -n/2^k */ RND_LOOP_NO_RNDF(r) { i = mpfr_exp2m1 (y, x, (mpfr_rnd_t) r); j = mpfr_set_z (z, n, MPFR_INVERT_RND((mpfr_rnd_t) r)); mpfr_neg (z, z, (mpfr_rnd_t) r); j = -j; mpfr_div_2ui (z, z, k, (mpfr_rnd_t) r); if (!mpfr_equal_p (y, z)) { printf ("Error for mpfr_exp2m1, x=%ld, rnd=%s\n", -k, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("expected "); mpfr_dump (z); printf ("got "); mpfr_dump (y); exit (1); } if ((i == 0 && j != 0) || (i != 0 && j == 0) || (i * j < 0)) { printf ("Bar ternary value for mpfr_exp2m1, x=%ld, rnd=%s\n", -k, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); printf ("expected %d\n", j); printf ("got %d\n", i); exit (1); } } } mpz_mul_2exp (n, n, 1); mpz_add_ui (n, n, 1); } mpfr_clear (x); mpfr_clear (y); mpfr_clear (z); mpz_clear (n); } int main (int argc, char *argv[]) { tests_start_mpfr (); special (); test_exact (); test_generic (MPFR_PREC_MIN, 100, 100); tests_end_mpfr (); return 0; }