/* Test file for mpfr_cbrt. Copyright 2002-2015 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" static void special (void) { mpfr_t x, y; mpfr_init (x); mpfr_init (y); /* cbrt(NaN) = NaN */ mpfr_set_nan (x); mpfr_cbrt (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("Error: cbrt(NaN) <> NaN\n"); exit (1); } /* cbrt(+Inf) = +Inf */ mpfr_set_inf (x, 1); mpfr_cbrt (y, x, MPFR_RNDN); if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) { printf ("Error: cbrt(+Inf) <> +Inf\n"); exit (1); } /* cbrt(-Inf) = -Inf */ mpfr_set_inf (x, -1); mpfr_cbrt (y, x, MPFR_RNDN); if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0) { printf ("Error: cbrt(-Inf) <> -Inf\n"); exit (1); } /* cbrt(+/-0) = +/-0 */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_cbrt (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) { printf ("Error: cbrt(+0) <> +0\n"); exit (1); } mpfr_neg (x, x, MPFR_RNDN); mpfr_cbrt (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0) { printf ("Error: cbrt(-0) <> -0\n"); exit (1); } mpfr_set_prec (x, 53); mpfr_set_str (x, "8.39005285514734966412e-01", 10, MPFR_RNDN); mpfr_cbrt (x, x, MPFR_RNDN); if (mpfr_cmp_str1 (x, "9.43166207799662426048e-01")) { printf ("Error in crbrt (1)\n"); exit (1); } mpfr_set_prec (x, 32); mpfr_set_prec (y, 32); mpfr_set_str_binary (x, "0.10000100001100101001001001011001"); mpfr_cbrt (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "0.11001101011000100111000111111001"); if (mpfr_cmp (x, y)) { printf ("Error in cbrt (2)\n"); exit (1); } mpfr_set_prec (x, 32); mpfr_set_prec (y, 32); mpfr_set_str_binary (x, "-0.1100001110110000010101011001011"); mpfr_cbrt (x, x, MPFR_RNDD); mpfr_set_str_binary (y, "-0.11101010000100100101000101011001"); if (mpfr_cmp (x, y)) { printf ("Error in cbrt (3)\n"); exit (1); } mpfr_set_prec (x, 82); mpfr_set_prec (y, 27); mpfr_set_str_binary (x, "0.1010001111011101011011000111001011001101100011110110010011011011011010011001100101e-7"); mpfr_cbrt (y, x, MPFR_RNDD); mpfr_set_str_binary (x, "0.101011110001110001000100011E-2"); if (mpfr_cmp (x, y)) { printf ("Error in cbrt (4)\n"); exit (1); } mpfr_set_prec (x, 204); mpfr_set_prec (y, 38); mpfr_set_str_binary (x, "0.101000000001101000000001100111111011111001110110100001111000100110100111001101100111110001110001011011010110010011100101111001111100001010010100111011101100000011011000101100010000000011000101001010001001E-5"); mpfr_cbrt (y, x, MPFR_RNDD); mpfr_set_str_binary (x, "0.10001001111010011011101000010110110010E-1"); if (mpfr_cmp (x, y)) { printf ("Error in cbrt (5)\n"); exit (1); } /* Bug (in the compiler?) found on Linux/m68k with gcc 4.0.2 */ mpfr_set_prec (x, 5); mpfr_set_prec (y, 5); mpfr_set_str_binary (x, "1.1000E-2"); mpfr_cbrt (y, x, MPFR_RNDN); mpfr_set_str_binary (x, "1.0111E-1"); if (mpfr_cmp (x, y)) { printf ("Error in cbrt (6)\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); } #define TEST_FUNCTION mpfr_cbrt #include "tgeneric.c" int main (void) { mpfr_t x; int r; mpfr_prec_t p; tests_start_mpfr (); special (); mpfr_init (x); for (p=2; p<100; p++) { mpfr_set_prec (x, p); for (r = 0; r < MPFR_RND_MAX; r++) { mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_cbrt (x, x, (mpfr_rnd_t) r); if (mpfr_cmp_ui (x, 1)) { printf ("Error in mpfr_cbrt for x=1, rnd=%s\ngot ", mpfr_print_rnd_mode ((mpfr_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_si (x, -1, MPFR_RNDN); mpfr_cbrt (x, x, (mpfr_rnd_t) r); if (mpfr_cmp_si (x, -1)) { printf ("Error in mpfr_cbrt for x=-1, rnd=%s\ngot ", mpfr_print_rnd_mode ((mpfr_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } if (p >= 5) { int i; for (i = -12; i <= 12; i++) { mpfr_set_ui (x, 27, MPFR_RNDN); mpfr_mul_2si (x, x, 3*i, MPFR_RNDN); mpfr_cbrt (x, x, MPFR_RNDN); if (mpfr_cmp_si_2exp (x, 3, i)) { printf ("Error in mpfr_cbrt for " "x = 27.0 * 2^(%d), rnd=%s\ngot ", 3*i, mpfr_print_rnd_mode ((mpfr_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\ninstead of 3 * 2^(%d)\n", i); exit (1); } } } } } mpfr_clear (x); test_generic (2, 200, 10); data_check ("data/cbrt", mpfr_cbrt, "mpfr_cbrt"); tests_end_mpfr (); return 0; }