1/* tj1 -- test file for the Bessel function of first kind (order 1) 2 3Copyright 2007-2023 Free Software Foundation, Inc. 4Contributed by the AriC and Caramba projects, INRIA. 5 6This file is part of the GNU MPFR Library. 7 8The GNU MPFR Library is free software; you can redistribute it and/or modify 9it under the terms of the GNU Lesser General Public License as published by 10the Free Software Foundation; either version 3 of the License, or (at your 11option) any later version. 12 13The GNU MPFR Library is distributed in the hope that it will be useful, but 14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 15or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 16License for more details. 17 18You should have received a copy of the GNU Lesser General Public License 19along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see 20https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 2151 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ 22 23#include "mpfr-test.h" 24 25#define TEST_FUNCTION mpfr_j1 26#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS) 27#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ 28#include "tgeneric.c" 29 30/* test for small input, where j1(x) = x/2 - x^3/16 + ... */ 31static void 32test_small (void) 33{ 34 mpfr_t x, y; 35 int inex, sign; 36 mpfr_exp_t e, emin; 37 38 mpfr_init2 (x, 10); 39 mpfr_init2 (y, 9); 40 emin = mpfr_get_emin (); 41 for (e = -4; e >= -30; e--) 42 { 43 if (e == -30) 44 { 45 e = mpfr_get_emin_min () - 1; 46 set_emin (e + 1); 47 } 48 for (sign = -1; sign <= 1; sign += 2) 49 { 50 mpfr_set_si_2exp (x, sign, e, MPFR_RNDN); 51 mpfr_nexttoinf (x); 52 inex = mpfr_j1 (y, x, MPFR_RNDN); 53 if (e >= -29) 54 { 55 /* since |x| is just above 2^e, |j1(x)| is just above 2^(e-1), 56 thus y should be 2^(e-1) and the inexact flag should be 57 of opposite sign of x */ 58 MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e - 1) == 0); 59 MPFR_ASSERTN(VSIGN (inex) * sign < 0); 60 } 61 else 62 { 63 /* here |y| should be 0.5*2^emin and the inexact flag should 64 have the sign of x */ 65 MPFR_ASSERTN(mpfr_cmp_si_2exp0 (y, sign, e) == 0); 66 MPFR_ASSERTN(VSIGN (inex) * sign > 0); 67 } 68 } 69 } 70 set_emin (emin); 71 mpfr_clear (x); 72 mpfr_clear (y); 73} 74 75/* a test that fails with GMP_CHECK_RANDOMIZE=1613146232984428 76 on revision 14429 */ 77static void 78bug20210215 (void) 79{ 80 mpfr_t x, y; 81 int inex; 82 83 mpfr_init2 (x, 221); 84 mpfr_init2 (y, 1); 85 mpfr_set_str (x, "1.6484611511696130037307738844228498447763863563070374544054791168614e+01", 10, MPFR_RNDN); 86 mpfr_clear_flags (); 87 inex = mpfr_j1 (y, x, MPFR_RNDZ); 88 MPFR_ASSERTN (mpfr_cmp_si_2exp0 (y, -1, -9) == 0); 89 MPFR_ASSERTN (inex > 0); 90 MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_INEXACT); 91 mpfr_clear (x); 92 mpfr_clear (y); 93} 94 95int 96main (int argc, char *argv[]) 97{ 98 mpfr_t x, y; 99 100 tests_start_mpfr (); 101 102 bug20210215 (); 103 104 test_small (); 105 106 mpfr_init (x); 107 mpfr_init (y); 108 109 /* special values */ 110 mpfr_set_nan (x); 111 mpfr_j1 (y, x, MPFR_RNDN); 112 MPFR_ASSERTN(mpfr_nan_p (y)); 113 114 mpfr_set_inf (x, 1); /* +Inf */ 115 mpfr_j1 (y, x, MPFR_RNDN); 116 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); 117 118 mpfr_set_inf (x, -1); /* -Inf */ 119 mpfr_j1 (y, x, MPFR_RNDN); 120 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); 121 122 mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */ 123 mpfr_j1 (y, x, MPFR_RNDN); 124 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j1(+0)=+0 */ 125 126 mpfr_set_ui (x, 0, MPFR_RNDN); 127 mpfr_neg (x, x, MPFR_RNDN); /* -0 */ 128 mpfr_j1 (y, x, MPFR_RNDN); 129 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j1(-0)=-0 */ 130 131 mpfr_set_prec (x, 53); 132 mpfr_set_prec (y, 53); 133 134 mpfr_set_ui (x, 1, MPFR_RNDN); 135 mpfr_j1 (y, x, MPFR_RNDN); 136 mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011"); 137 if (mpfr_cmp (x, y)) 138 { 139 printf ("Error in mpfr_j1 for x=1, rnd=MPFR_RNDN\n"); 140 printf ("Expected "); mpfr_dump (x); 141 printf ("Got "); mpfr_dump (y); 142 exit (1); 143 } 144 mpfr_clear (x); 145 mpfr_clear (y); 146 147 test_generic (MPFR_PREC_MIN, 100, 10); 148 149 data_check ("data/j1", mpfr_j1, "mpfr_j1"); 150 151 tests_end_mpfr (); 152 153 return 0; 154} 155