1 /* tj0 -- test file for the Bessel function of first kind (order 0) 2 3 Copyright 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc. 4 Contributed by the Arenaire and Cacao projects, INRIA. 5 6 This file is part of the GNU MPFR Library. 7 8 The GNU MPFR Library is free software; you can redistribute it and/or modify 9 it under the terms of the GNU Lesser General Public License as published by 10 the Free Software Foundation; either version 3 of the License, or (at your 11 option) any later version. 12 13 The GNU MPFR Library is distributed in the hope that it will be useful, but 14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 16 License for more details. 17 18 You should have received a copy of the GNU Lesser General Public License 19 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see 20 http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ 22 23 #include <stdio.h> 24 #include <stdlib.h> 25 26 #include "mpfr-test.h" 27 28 #define TEST_FUNCTION mpfr_j0 29 #define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS) 30 #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ 31 #include "tgeneric.c" 32 33 int 34 main (int argc, char *argv[]) 35 { 36 mpfr_t x, y; 37 38 tests_start_mpfr (); 39 40 mpfr_init (x); 41 mpfr_init (y); 42 43 /* special values */ 44 mpfr_set_nan (x); 45 mpfr_j0 (y, x, MPFR_RNDN); 46 MPFR_ASSERTN(mpfr_nan_p (y)); 47 48 mpfr_set_inf (x, 1); /* +Inf */ 49 mpfr_j0 (y, x, MPFR_RNDN); 50 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); 51 52 mpfr_set_inf (x, -1); /* -Inf */ 53 mpfr_j0 (y, x, MPFR_RNDN); 54 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); 55 56 mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */ 57 mpfr_j0 (y, x, MPFR_RNDN); 58 MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(+0)=1 */ 59 60 mpfr_set_ui (x, 0, MPFR_RNDN); 61 mpfr_neg (x, x, MPFR_RNDN); /* -0 */ 62 mpfr_j0 (y, x, MPFR_RNDN); 63 MPFR_ASSERTN(mpfr_cmp_ui (y, 1) == 0); /* j0(-0)=1 */ 64 65 mpfr_set_prec (x, 53); 66 mpfr_set_prec (y, 53); 67 68 mpfr_set_ui (x, 1, MPFR_RNDN); 69 mpfr_j0 (y, x, MPFR_RNDN); 70 mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111"); 71 if (mpfr_cmp (x, y)) 72 { 73 printf ("Error in mpfr_j0 for x=1, rnd=MPFR_RNDN\n"); 74 printf ("Expected "); mpfr_dump (x); 75 printf ("Got "); mpfr_dump (y); 76 exit (1); 77 } 78 79 mpfr_set_si (x, -1, MPFR_RNDN); 80 mpfr_j0 (y, x, MPFR_RNDN); 81 mpfr_set_str_binary (x, "0.1100001111100011111111101101111010111101110001111"); 82 if (mpfr_cmp (x, y)) 83 { 84 printf ("Error in mpfr_j0 for x=-1, rnd=MPFR_RNDN\n"); 85 printf ("Expected "); mpfr_dump (x); 86 printf ("Got "); mpfr_dump (y); 87 exit (1); 88 } 89 90 /* Bug reported on 2007-07-03 by Sisyphus (assertion failed in r4619) */ 91 mpfr_set_si (x, 70000, MPFR_RNDN); 92 mpfr_j0 (y, x, MPFR_RNDN); 93 94 /* Bug reported by Kevin Rauch on 27 Oct 2007 */ 95 mpfr_set_prec (x, 7); 96 mpfr_set_prec (y, 7); 97 mpfr_set_si (x, -100, MPFR_RNDN); 98 mpfr_j0 (y, x, MPFR_RNDN); 99 MPFR_ASSERTN (! mpfr_nan_p (y) && mpfr_cmp_ui_2exp (y, 41, -11) == 0); 100 101 mpfr_clear (x); 102 mpfr_clear (y); 103 104 test_generic (2, 100, 10); 105 106 data_check ("data/j0", mpfr_j0, "mpfr_j0"); 107 108 tests_end_mpfr (); 109 110 return 0; 111 } 112