/* Test file for mpfr_cbrt. Copyright 2002, 2003, 2004, 2005, 2006, 2007 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao projects, INRIA. 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., 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, GMP_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, GMP_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, GMP_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, GMP_RNDN); mpfr_cbrt (y, x, GMP_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) { printf ("Error: cbrt(+0) <> +0\n"); exit (1); } mpfr_neg (x, x, GMP_RNDN); mpfr_cbrt (y, x, GMP_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, GMP_RNDN); mpfr_cbrt (x, x, GMP_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, GMP_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, GMP_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, GMP_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, GMP_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, GMP_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; mp_prec_t p; MPFR_TEST_USE_RANDS (); tests_start_mpfr (); special (); mpfr_init (x); for (p=2; p<100; p++) { mpfr_set_prec (x, p); for (r = 0; r < GMP_RND_MAX; r++) { mpfr_set_ui (x, 1, GMP_RNDN); mpfr_cbrt (x, x, (mp_rnd_t) r); if (mpfr_cmp_ui (x, 1)) { printf ("Error in mpfr_cbrt for x=1, rnd=%s\ngot ", mpfr_print_rnd_mode ((mp_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, GMP_RNDN); printf ("\n"); exit (1); } mpfr_set_si (x, -1, GMP_RNDN); mpfr_cbrt (x, x, (mp_rnd_t) r); if (mpfr_cmp_si (x, -1)) { printf ("Error in mpfr_cbrt for x=-1, rnd=%s\ngot ", mpfr_print_rnd_mode ((mp_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, GMP_RNDN); printf ("\n"); exit (1); } if (p >= 5) { int i; for (i = -12; i <= 12; i++) { mpfr_set_ui (x, 27, GMP_RNDN); mpfr_mul_2si (x, x, 3*i, GMP_RNDN); mpfr_cbrt (x, x, GMP_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 ((mp_rnd_t) r)); mpfr_out_str (stdout, 2, 0, x, GMP_RNDN); printf ("\ninstead of 3 * 2^(%d)\n", i); exit (1); } } } } } mpfr_clear (x); test_generic (2, 200, 10); tests_end_mpfr (); return 0; }