/* Test file for mpfr_erf and mpfr_erfc. 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 #include "mpfr-test.h" #define TEST_FUNCTION mpfr_erf #define test_generic test_generic_erf #include "tgeneric.c" #define TEST_FUNCTION mpfr_erfc #undef TEST_RANDOM_EMAX #define TEST_RANDOM_EMAX 63 #define test_generic test_generic_erfc #include "tgeneric.c" static void special_erf (void) { mpfr_t x, y; int inex; mpfr_init2 (x, 53); mpfr_init2 (y, 53); /* erf(NaN) = NaN */ mpfr_set_nan (x); mpfr_erf (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("mpfr_erf failed for x=NaN\n"); exit (1); } /* erf(+Inf) = 1 */ mpfr_set_inf (x, 1); mpfr_erf (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 1)) { printf ("mpfr_erf failed for x=+Inf\n"); printf ("expected 1.0, got "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); exit (1); } /* erf(-Inf) = -1 */ mpfr_set_inf (x, -1); mpfr_erf (y, x, MPFR_RNDN); if (mpfr_cmp_si (y, -1)) { printf ("mpfr_erf failed for x=-Inf\n"); exit (1); } /* erf(+0) = +0 */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_erf (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) { printf ("mpfr_erf failed for x=+0\n"); exit (1); } /* erf(-0) = -0 */ mpfr_neg (x, x, MPFR_RNDN); mpfr_erf (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0) { printf ("mpfr_erf failed for x=-0\n"); exit (1); } mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "0.11010111101110110011110100111010000010000100010001011"); if (mpfr_cmp (x, y)) { printf ("mpfr_erf failed for x=1.0, rnd=MPFR_RNDN\n"); printf ("expected "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_str (x, "6.6", 10, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp_ui (x, 1)) { printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDN\n"); printf ("expected 1\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_str (x, "-6.6", 10, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp_si (x, -1)) { printf ("mpfr_erf failed for x=-6.6, rnd=MPFR_RNDN\n"); printf ("expected -1\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_str (x, "6.6", 10, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDZ); mpfr_set_str_binary (y, "0.11111111111111111111111111111111111111111111111111111"); if (mpfr_cmp (x, y)) { printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDZ\n"); printf ("expected "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_str (x, "4.5", 10, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "0.1111111111111111111111111111111100100111110100011"); if (mpfr_cmp (x, y)) { printf ("mpfr_erf failed for x=4.5, rnd=MPFR_RNDN\n"); printf ("expected "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_prec (x, 120); mpfr_set_prec (y, 120); mpfr_set_str_binary (x, "0.110100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011001100110011E3"); mpfr_erf (x, x, MPFR_RNDN); mpfr_set_str_binary (y, "0.11111111111111111111111111111111111111111111111111111111111111111100111111000100111011111011010000110101111100011001101"); if (mpfr_cmp (x, y)) { printf ("mpfr_erf failed for x=6.6, rnd=MPFR_RNDN\n"); printf ("expected "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } mpfr_set_prec (x, 8); mpfr_set_prec (y, 8); mpfr_set_ui (x, 50, MPFR_RNDN); inex = mpfr_erf (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 1)) { printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN\n"); printf ("expected 1, got "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); exit (1); } if (inex <= 0) { printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN: wrong ternary value\n" "expected positive, got %d\n", inex); exit (1); } inex = mpfr_erf (x, x, MPFR_RNDZ); mpfr_nextbelow (y); if (mpfr_cmp (x, y)) { printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDZ\n"); printf ("expected "); mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN); printf ("\n"); printf ("got "); mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN); printf ("\n"); exit (1); } if (inex >= 0) { printf ("mpfr_erf failed for x=50, rnd=MPFR_RNDN: wrong ternary value\n" "expected negative, got %d\n", inex); exit (1); } mpfr_set_prec (x, 32); mpfr_set_prec (y, 32); mpfr_set_str_binary (x, "0.1010100100111011001111100101E-1"); mpfr_set_str_binary (y, "0.10111000001110011010110001101011E-1"); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (1)\n"); exit (1); } mpfr_set_str_binary (x, "-0.10110011011010111110010001100001"); mpfr_set_str_binary (y, "-0.1010110110101011100010111000111"); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (2)\n"); mpfr_print_binary (x); printf ("\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110000111"); mpfr_set_str_binary (y, "0.11111111111111111111111111111111"); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (3)\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110000111"); mpfr_erf (x, x, MPFR_RNDZ); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (4)\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110000111"); mpfr_erf (x, x, MPFR_RNDU); if (mpfr_cmp_ui (x, 1)) { printf ("Error: erf for prec=32 (5)\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110001000"); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp_ui (x, 1)) { printf ("Error: erf for prec=32 (6)\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110001000"); mpfr_set_str_binary (y, "0.11111111111111111111111111111111"); mpfr_erf (x, x, MPFR_RNDZ); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (7)\n"); exit (1); } mpfr_set_str_binary (x, "100.10001110011110100000110001000"); mpfr_erf (x, x, MPFR_RNDU); if (mpfr_cmp_ui (x, 1)) { printf ("Error: erf for prec=32 (8)\n"); exit (1); } mpfr_set_ui (x, 5, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDN); if (mpfr_cmp_ui (x, 1)) { printf ("Error: erf for prec=32 (9)\n"); exit (1); } mpfr_set_ui (x, 5, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDU); if (mpfr_cmp_ui (x, 1)) { printf ("Error: erf for prec=32 (10)\n"); exit (1); } mpfr_set_ui (x, 5, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDZ); mpfr_set_str_binary (y, "0.11111111111111111111111111111111"); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (11)\n"); exit (1); } mpfr_set_ui (x, 5, MPFR_RNDN); mpfr_erf (x, x, MPFR_RNDD); mpfr_set_str_binary (y, "0.11111111111111111111111111111111"); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=32 (12)\n"); exit (1); } mpfr_set_prec (x, 43); mpfr_set_prec (y, 64); mpfr_set_str_binary (x, "-0.1101110110101111100101011101110101101001001e3"); mpfr_erf (y, x, MPFR_RNDU); mpfr_set_prec (x, 64); mpfr_set_str_binary (x, "-0.1111111111111111111111111111111111111111111111111111111111111111"); if (mpfr_cmp (x, y)) { printf ("Error: erf for prec=43,64 (13)\n"); exit (1); } /* worst cases */ mpfr_set_prec (x, 53); mpfr_set_prec (y, 53); mpfr_set_str_binary (x, "1.0000000000000000000000000000000000000110000000101101"); mpfr_erf (y, x, MPFR_RNDN); mpfr_set_str_binary (x, "0.110101111011101100111101001110100000101011000011001"); if (mpfr_cmp (x, y)) { printf ("Error: erf for worst case (1)\n"); exit (1); } mpfr_set_str_binary (x, "1.0000000000000000000000000000011000111010101101011010"); mpfr_erf (y, x, MPFR_RNDU); mpfr_set_str_binary (x, "0.11010111101110110011110100111100100111100011111000110"); if (mpfr_cmp (x, y)) { printf ("Error: erf for worst case (2a)\n"); exit (1); } mpfr_set_str_binary (x, "1.0000000000000000000000000000011000111010101101011010"); mpfr_erf (y, x, MPFR_RNDD); mpfr_set_str_binary (x, "0.11010111101110110011110100111100100111100011111000101"); if (mpfr_cmp (x, y)) { printf ("Error: erf for worst case (2b)\n"); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void special_erfc (void) { mpfr_t x, y; mpfr_inits (x, y, (mpfr_ptr) 0); /* erfc (NaN) = NaN */ mpfr_set_nan (x); mpfr_erfc (y, x, MPFR_RNDN); if (!mpfr_nan_p (y)) { printf ("mpfr_erfc failed for x=NaN\n"); exit (1); } /* erfc(+Inf) = 0+ */ mpfr_set_inf (x, 1); mpfr_erfc (y, x, MPFR_RNDN); if (!MPFR_IS_ZERO (y) || !MPFR_IS_POS (y)) { printf ("mpfr_erf failed for x=+Inf\n"); printf ("expected 0+, got "); mpfr_dump (y); exit (1); } /* erfc(-Inf) = 2 */ mpfr_set_inf (x, -1); mpfr_erfc (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 2)) { printf ("mpfr_erf failed for x=-Inf\n"); printf ("expected 2, got "); mpfr_dump (y); exit (1); } /* erf(+0) = 1 */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_erfc (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 1)) { printf ("mpfr_erf failed for x=+0\n"); printf ("expected 1, got "); mpfr_dump (y); exit (1); } mpfr_clears (x, y, (mpfr_ptr) 0); } static void large_arg (void) { mpfr_t x, y; unsigned int flags; mpfr_init2 (x, 88); mpfr_init2 (y, 98); mpfr_set_si_2exp (x, -1, 173, MPFR_RNDN); mpfr_clear_flags (); mpfr_erfc (y, x, MPFR_RNDN); flags = __gmpfr_flags; if (mpfr_cmp_ui (y, 2) != 0) { printf ("mpfr_erfc failed for large x (1)\n"); exit (1); } if (flags != MPFR_FLAGS_INEXACT) { printf ("mpfr_erfc sets incorrect flags for large x (1)\n"); printf ("Expected %u, got %u\n", (unsigned int) MPFR_FLAGS_INEXACT, flags); exit (1); } mpfr_set_si_2exp (x, -1, mpfr_get_emax () - 3, MPFR_RNDN); mpfr_clear_flags (); mpfr_erfc (y, x, MPFR_RNDN); flags = __gmpfr_flags; if (mpfr_cmp_ui (y, 2) != 0) { printf ("mpfr_erfc failed for large x (1b)\n"); exit (1); } if (flags != MPFR_FLAGS_INEXACT) { printf ("mpfr_erfc sets incorrect flags for large x (1b)\n"); printf ("Expected %u, got %u\n", (unsigned int) MPFR_FLAGS_INEXACT, flags); exit (1); } mpfr_set_prec (x, 33); mpfr_set_prec (y, 43); mpfr_set_str_binary (x, "1.11000101010111011000111100101001e6"); mpfr_erfc (y, x, MPFR_RNDD); mpfr_set_prec (x, 43); mpfr_set_str_binary (x, "100010011100101100001101100101011101101E-18579"); if (mpfr_cmp (x, y) != 0) { printf ("mpfr_erfc failed for large x (2)\n"); exit (1); } mpfr_set_prec (y, 43); mpfr_set_si_2exp (x, 1, 11, MPFR_RNDN); mpfr_erfc (y, x, MPFR_RNDN); mpfr_set_str_binary (x, "0.1100000100100010101111001111010010001000110E-6051113"); if (mpfr_cmp (x, y) != 0) { printf ("mpfr_erfc failed for large x (3)\n"); exit (1); } mpfr_set_prec (x, 75); mpfr_set_prec (y, 85); mpfr_set_str_binary (x, "0.111110111111010011101011001100001010011110101010011111010010111101010001011E15"); mpfr_erfc (y, x, MPFR_RNDN); if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0) { printf ("mpfr_erfc failed for large x (3b)\n"); exit (1); } mpfr_set_prec (x, 2); mpfr_set_prec (y, 21); mpfr_set_str_binary (x, "-1.0e3"); mpfr_clear_flags (); mpfr_erfc (y, x, MPFR_RNDZ); flags = __gmpfr_flags; mpfr_set_prec (x, 21); mpfr_set_str_binary (x, "1.11111111111111111111"); if (mpfr_cmp (x, y) != 0) { printf ("mpfr_erfc failed for large x (4)\n"); exit (1); } if (flags != MPFR_FLAGS_INEXACT) { printf ("mpfr_erfc sets incorrect flags for large x (4)\n"); printf ("Expected %u, got %u\n", (unsigned int) MPFR_FLAGS_INEXACT, flags); exit (1); } mpfr_set_prec (x, 2); mpfr_set_prec (y, 31); mpfr_set_str_binary (x, "-1.0e3"); mpfr_clear_flags (); mpfr_erfc (y, x, MPFR_RNDZ); flags = __gmpfr_flags; mpfr_set_prec (x, 31); mpfr_set_str_binary (x, "1.111111111111111111111111111111"); if (mpfr_cmp (x, y) != 0) { printf ("mpfr_erfc failed for x=-8, prec=31 (5)\n"); printf ("expected "); mpfr_dump (x); printf ("got "); mpfr_dump (y); exit (1); } if (flags != MPFR_FLAGS_INEXACT) { printf ("mpfr_erfc sets incorrect flags for large x (5)\n"); printf ("Expected %u, got %u\n", (unsigned int) MPFR_FLAGS_INEXACT, flags); exit (1); } /* Reported by Christopher Creutzig on 2007-07-10. */ mpfr_set_prec (x, 53); mpfr_set_prec (y, 53); mpfr_set_si_2exp (x, 54563, -1, MPFR_RNDN); mpfr_erfc (y, x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDN); if (! mpfr_equal_p (y, x)) { printf ("mpfr_erfc failed for x=27281.5, prec=53 (6)\n"); printf ("expected "); mpfr_dump (x); printf ("got "); mpfr_dump (y); exit (1); } /* same test with rounding away from zero */ mpfr_set_si_2exp (x, 54563, -1, MPFR_RNDN); mpfr_erfc (y, x, MPFR_RNDU); mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_nextabove (x); if (! mpfr_equal_p (y, x)) { printf ("mpfr_erfc failed for x=27281.5, prec=53 (7)\n"); printf ("expected "); mpfr_dump (x); printf ("got "); mpfr_dump (y); exit (1); } mpfr_clear (x); mpfr_clear (y); } static void test_erfc (void) { mpfr_t x, y, z; int inex; mpfr_exp_t emin; mpfr_inits2 (40, x, y, z, (mpfr_ptr) 0); mpfr_set_si_2exp (x, -1, -10, MPFR_RNDN); mpfr_set_str_binary (z, "0.1000000000100100000110111010110111100000E1"); mpfr_erfc (y, x, MPFR_RNDN); if (mpfr_cmp (y, z) != 0) { printf ("mpfr_erfc failed for x = "); mpfr_dump (x); printf ("got "); mpfr_dump (y); printf ("instead of "); mpfr_dump (z); exit (1); } /* slowness detected by Kevin Rauch on 26 Oct 2007 */ mpfr_set_prec (x, 128); mpfr_set_si (x, -256, MPFR_RNDN); inex = mpfr_erfc (x, x, MPFR_RNDN); MPFR_ASSERTN(inex > 0 && mpfr_cmp_ui (x, 2) == 0); /* bug found by Pascal Molin on March 10, 2011 */ emin = mpfr_get_emin (); if (! mpfr_set_emin (-1073808789)) { /* Typically, a 64-bit machine. */ mpfr_set_si (x, 27282, MPFR_RNDN); mpfr_erfc (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (y, 0) != 0); mpfr_set_emin (emin); } mpfr_clears (x, y, z, (mpfr_ptr) 0); } /* Failure in r7569 (2011-03-15) due to incorrect flags. */ static void reduced_expo_range (void) { mpfr_exp_t emax; mpfr_t x, y, ex_y; int inex, ex_inex; unsigned int flags, ex_flags; emax = mpfr_get_emax (); mpfr_set_emax (3); mpfr_init2 (x, 33); mpfr_inits2 (110, y, ex_y, (mpfr_ptr) 0); mpfr_set_str_binary (x, "-0.111100110111111111011101010101110E3"); mpfr_clear_flags (); inex = mpfr_erfc (y, x, MPFR_RNDZ); flags = __gmpfr_flags; mpfr_set_str (ex_y, "1.fffffffffffffffffffffe607440", 16, MPFR_RNDN); ex_inex = -1; ex_flags = MPFR_FLAGS_INEXACT; if (SIGN (inex) != ex_inex || flags != ex_flags || ! mpfr_equal_p (y, ex_y)) { printf ("Error in reduced_expo_range\non x = "); mpfr_dump (x); printf ("Expected y = "); mpfr_out_str (stdout, 16, 0, ex_y, MPFR_RNDN); printf ("\n inex = %d, flags = %u\n", ex_inex, ex_flags); printf ("Got y = "); mpfr_out_str (stdout, 16, 0, y, MPFR_RNDN); printf ("\n inex = %d, flags = %u\n", SIGN (inex), flags); exit (1); } mpfr_clears (x, y, ex_y, (mpfr_ptr) 0); mpfr_set_emax (emax); } int main (int argc, char *argv[]) { tests_start_mpfr (); special_erf (); special_erfc (); large_arg (); test_erfc (); reduced_expo_range (); test_generic_erf (2, 100, 15); test_generic_erfc (2, 100, 15); data_check ("data/erf", mpfr_erf, "mpfr_erf"); data_check ("data/erfc", mpfr_erfc, "mpfr_erfc"); tests_end_mpfr (); return 0; }