/* tj0 -- test file for the Bessel function of first kind (order 0) Copyright 2007-2015 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" #define TEST_FUNCTION mpfr_j0 #define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS) #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ #include "tgeneric.c" int main (int argc, char *argv[]) { mpfr_t x, y; int inex; tests_start_mpfr (); mpfr_init (x); mpfr_init (y); /* special values */ mpfr_set_nan (x); mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_nan_p (y)); mpfr_set_inf (x, 1); /* +Inf */ mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); mpfr_set_inf (x, -1); /* -Inf */ mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */ mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */ mpfr_set_ui (x, 0, MPFR_RNDN); mpfr_neg (x, x, MPFR_RNDN); /* -0 */ mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */ mpfr_set_prec (x, 53); mpfr_set_prec (y, 53); mpfr_set_ui (x, 1, MPFR_RNDN); mpfr_j0 (y, x, MPFR_RNDN); mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111"); if (mpfr_cmp (x, y)) { printf ("Error in mpfr_j0 for x=1, rnd=MPFR_RNDN\n"); printf ("Expected "); mpfr_dump (x); printf ("Got "); mpfr_dump (y); exit (1); } mpfr_set_si (x, -1, MPFR_RNDN); mpfr_j0 (y, x, MPFR_RNDN); mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111"); if (mpfr_cmp (x, y)) { printf ("Error in mpfr_j0 for x=-1, rnd=MPFR_RNDN\n"); printf ("Expected "); mpfr_dump (x); printf ("Got "); mpfr_dump (y); exit (1); } /* Bug reported on 2007-07-03 by Sisyphus (assertion failed in r4619) */ mpfr_set_si (x, 70000, MPFR_RNDN); mpfr_j0 (y, x, MPFR_RNDN); /* Bug reported by Kevin Rauch on 27 Oct 2007 */ mpfr_set_prec (x, 7); mpfr_set_prec (y, 7); mpfr_set_si (x, -100, MPFR_RNDN); mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_ui_2exp (y, 41, -11) == 0); /* Case for which s = 0 in mpfr_jn */ mpfr_set_prec (x, 44); mpfr_set_prec (y, 44); mpfr_set_si (x, 2, MPFR_RNDN); mpfr_clear_flags (); inex = mpfr_j0 (y, x, MPFR_RNDN); MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT); mpfr_set_str (x, "0x.e5439fd9267p-2", 0, MPFR_RNDN); if (! mpfr_equal_p (y, x)) { printf ("Error on 2:\n"); printf ("Expected "); mpfr_dump (x); printf ("Got "); mpfr_dump (y); exit (1); } if (inex >= 0) { printf ("Bad ternary value on 2: expected negative, got %d\n", inex); exit (1); } mpfr_clear (x); mpfr_clear (y); test_generic (2, 100, 10); data_check ("data/j0", mpfr_j0, "mpfr_j0"); tests_end_mpfr (); return 0; }