1 /* tyn -- test file for the Bessel function of second kind 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 int 29 main (int argc, char *argv[]) 30 { 31 mpfr_t x, y; 32 long n; 33 mpfr_prec_t prec = 53; 34 35 tests_start_mpfr (); 36 37 mpfr_init (x); 38 mpfr_init (y); 39 40 if (argc != 1) 41 { 42 if (argc != 4) 43 { 44 printf ("Usage: tyn n x prec\n"); 45 exit (1); 46 } 47 n = atoi (argv[1]); 48 prec = atoi (argv[3]); 49 mpfr_set_prec (x, prec); 50 mpfr_set_prec (y, prec); 51 mpfr_set_str (x, argv[2], 10, MPFR_RNDN); 52 mpfr_yn (y, n, x, MPFR_RNDN); 53 printf ("Y(%ld,", n); 54 mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); 55 printf (")="); 56 mpfr_out_str (stdout, 10, 0, y, MPFR_RNDN); 57 printf ("\n"); 58 goto end; 59 } 60 61 /* special values */ 62 mpfr_set_nan (x); 63 mpfr_yn (y, 17, x, MPFR_RNDN); 64 MPFR_ASSERTN(mpfr_nan_p (y)); 65 66 mpfr_set_inf (x, 1); /* +Inf */ 67 mpfr_yn (y, 17, x, MPFR_RNDN); 68 MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); 69 70 mpfr_set_inf (x, -1); /* -Inf */ 71 mpfr_yn (y, 17, x, MPFR_RNDN); 72 MPFR_ASSERTN(mpfr_nan_p (y)); 73 74 mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */ 75 mpfr_yn (y, 0, x, MPFR_RNDN); 76 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(+0)=-Inf */ 77 mpfr_yn (y, 17, x, MPFR_RNDN); 78 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(+0)=-Inf */ 79 mpfr_yn (y, -17, x, MPFR_RNDN); 80 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,+0)=+Inf */ 81 mpfr_yn (y, -42, x, MPFR_RNDN); 82 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,+0)=-Inf */ 83 84 mpfr_set_ui (x, 0, MPFR_RNDN); 85 mpfr_neg (x, x, MPFR_RNDN); /* -0 */ 86 mpfr_yn (y, 0, x, MPFR_RNDN); 87 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y0(-0)=-Inf */ 88 mpfr_yn (y, 17, x, MPFR_RNDN); 89 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y17(-0)=-Inf */ 90 mpfr_yn (y, -17, x, MPFR_RNDN); 91 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_POS (y)); /* y(-17,-0)=+Inf */ 92 mpfr_yn (y, -42, x, MPFR_RNDN); 93 MPFR_ASSERTN(mpfr_inf_p (y) && MPFR_IS_NEG (y)); /* y(-42,-0)=-Inf */ 94 95 mpfr_set_prec (x, 53); 96 mpfr_set_prec (y, 53); 97 98 mpfr_set_ui (x, 1, MPFR_RNDN); 99 mpfr_yn (y, 0, x, MPFR_RNDN); 100 mpfr_set_str_binary (x, "0.00010110100110000000001000100110111100110101100011011111"); 101 if (mpfr_cmp (x, y)) 102 { 103 printf ("Error in mpfr_yn for n=0, x=1, rnd=MPFR_RNDN\n"); 104 printf ("Expected "); mpfr_dump (x); 105 printf ("Got "); mpfr_dump (y); 106 exit (1); 107 } 108 109 mpfr_set_ui (x, 1, MPFR_RNDN); 110 mpfr_yn (y, 1, x, MPFR_RNDN); 111 mpfr_set_str_binary (x, "-0.110001111111110110010000001111101011001101011100101"); 112 if (mpfr_cmp (x, y)) 113 { 114 printf ("Error in mpfr_yn for n=1, x=1, rnd=MPFR_RNDN\n"); 115 printf ("Expected "); mpfr_dump (x); 116 printf ("Got "); mpfr_dump (y); 117 exit (1); 118 } 119 120 mpfr_set_ui (x, 1, MPFR_RNDN); 121 mpfr_yn (y, -1, x, MPFR_RNDN); 122 mpfr_set_str_binary (x, "0.110001111111110110010000001111101011001101011100101"); 123 if (mpfr_cmp (x, y)) 124 { 125 printf ("Error in mpfr_yn for n=-1, x=1, rnd=MPFR_RNDN\n"); 126 printf ("Expected "); mpfr_dump (x); 127 printf ("Got "); mpfr_dump (y); 128 exit (1); 129 } 130 131 mpfr_set_ui (x, 1, MPFR_RNDN); 132 mpfr_yn (y, 2, x, MPFR_RNDN); 133 mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001"); 134 if (mpfr_cmp (x, y)) 135 { 136 printf ("Error in mpfr_yn for n=2, x=1, rnd=MPFR_RNDN\n"); 137 printf ("Expected "); mpfr_dump (x); 138 printf ("Got "); mpfr_dump (y); 139 exit (1); 140 } 141 142 mpfr_set_ui (x, 1, MPFR_RNDN); 143 mpfr_yn (y, -2, x, MPFR_RNDN); 144 mpfr_set_str_binary (x, "-1.101001101001001100100010101001000101101000010010001"); 145 if (mpfr_cmp (x, y)) 146 { 147 printf ("Error in mpfr_yn for n=-2, x=1, rnd=MPFR_RNDN\n"); 148 printf ("Expected "); mpfr_dump (x); 149 printf ("Got "); mpfr_dump (y); 150 exit (1); 151 } 152 153 mpfr_set_ui (x, 1, MPFR_RNDN); 154 mpfr_yn (y, 17, x, MPFR_RNDN); 155 mpfr_set_str_binary (x, "-0.11000100111000100010101101011000110011001101100001011E60"); 156 if (mpfr_cmp (x, y)) 157 { 158 printf ("Error in mpfr_yn for n=17, x=1, rnd=MPFR_RNDN\n"); 159 printf ("Expected "); mpfr_dump (x); 160 printf ("Got "); mpfr_dump (y); 161 exit (1); 162 } 163 164 mpfr_set_ui (x, 1, MPFR_RNDN); 165 mpfr_yn (y, -17, x, MPFR_RNDN); 166 mpfr_set_str_binary (x, "0.11000100111000100010101101011000110011001101100001011E60"); 167 if (mpfr_cmp (x, y)) 168 { 169 printf ("Error in mpfr_yn for n=-17, x=1, rnd=MPFR_RNDN\n"); 170 printf ("Expected "); mpfr_dump (x); 171 printf ("Got "); mpfr_dump (y); 172 exit (1); 173 } 174 175 mpfr_set_ui (x, 17, MPFR_RNDN); 176 mpfr_yn (y, 1, x, MPFR_RNDN); 177 mpfr_set_str_binary (x, "0.00101010110011011111001100000001101011011001111111"); 178 if (mpfr_cmp (x, y)) 179 { 180 printf ("Error in mpfr_yn for n=1, x=17, rnd=MPFR_RNDN\n"); 181 printf ("Expected "); mpfr_dump (x); 182 printf ("Got "); mpfr_dump (y); 183 exit (1); 184 } 185 186 end: 187 mpfr_clear (x); 188 mpfr_clear (y); 189 190 tests_end_mpfr (); 191 return 0; 192 } 193