1 /* Test file for mpfr_coth. 2 3 Copyright 2005-2016 Free Software Foundation, Inc. 4 Contributed by the AriC and Caramba 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_coth 29 #include "tgeneric.c" 30 31 static void 32 check_specials (void) 33 { 34 mpfr_t x, y; 35 36 mpfr_init2 (x, 123L); 37 mpfr_init2 (y, 123L); 38 39 mpfr_set_nan (x); 40 mpfr_coth (y, x, MPFR_RNDN); 41 if (! mpfr_nan_p (y)) 42 { 43 printf ("Error: coth(NaN) != NaN\n"); 44 exit (1); 45 } 46 47 mpfr_set_inf (x, 1); 48 mpfr_coth (y, x, MPFR_RNDN); 49 if (mpfr_cmp_ui (y, 1)) 50 { 51 printf ("Error: coth(Inf) != 1\n"); 52 exit (1); 53 } 54 55 mpfr_set_inf (x, -1); 56 mpfr_coth (y, x, MPFR_RNDN); 57 if (mpfr_cmp_si (y, -1)) 58 { 59 printf ("Error: coth(-Inf) != -1\n"); 60 exit (1); 61 } 62 63 /* coth(+/-0) = +/-Inf */ 64 mpfr_set_ui (x, 0, MPFR_RNDN); 65 mpfr_coth (y, x, MPFR_RNDN); 66 if (! (mpfr_inf_p (y) && MPFR_SIGN (y) > 0)) 67 { 68 printf ("Error: coth(+0) != +Inf\n"); 69 exit (1); 70 } 71 mpfr_neg (x, x, MPFR_RNDN); 72 mpfr_coth (y, x, MPFR_RNDN); 73 if (! (mpfr_inf_p (y) && MPFR_SIGN (y) < 0)) 74 { 75 printf ("Error: coth(-0) != -Inf\n"); 76 exit (1); 77 } 78 79 mpfr_clear (x); 80 mpfr_clear (y); 81 } 82 83 static void 84 check_bugs (void) 85 { 86 mpfr_t x, y; 87 88 mpfr_init (x); 89 mpfr_init (y); 90 91 /* bug found by Rob (Sisyphus) on 16 Sep 2005 */ 92 mpfr_set_ui (x, 2, MPFR_RNDN); 93 mpfr_set_prec (y, 2); 94 mpfr_coth (y, x, MPFR_RNDN); 95 if (mpfr_cmp_ui (y, 1)) 96 { 97 printf ("Error for coth(2), expected 1, got "); 98 mpfr_dump (y); 99 exit (1); 100 } 101 102 mpfr_set_prec (x, 53); 103 mpfr_set_prec (y, 53); 104 105 mpfr_set_str (x, "18.368400284838550", 10, MPFR_RNDN); 106 mpfr_set_str (y, "1.0000000000000002", 10, MPFR_RNDN); 107 mpfr_coth (x, x, MPFR_RNDN); 108 if (mpfr_cmp (x, y) != 0) 109 { 110 printf ("Error for coth(18.368400284838550)\n"); 111 exit (1); 112 } 113 114 mpfr_set_str (x, "18.714973875118520", 10, MPFR_RNDN); 115 mpfr_coth (x, x, MPFR_RNDN); 116 if (mpfr_cmp (x, y) != 0) 117 { 118 printf ("Error for coth(18.714973875118520)\n"); 119 exit (1); 120 } 121 122 mpfr_set_str (x, "18.714973875118524", 10, MPFR_RNDN); 123 mpfr_coth (x, x, MPFR_RNDN); 124 if (mpfr_cmp_ui (x, 1) != 0) 125 { 126 printf ("Error for coth(18.714973875118524)\n"); 127 exit (1); 128 } 129 130 mpfr_clear (x); 131 mpfr_clear (y); 132 } 133 134 static void 135 underflowed_cothinf (void) 136 { 137 mpfr_t x, y; 138 int i, inex, rnd, err = 0; 139 mpfr_exp_t old_emin; 140 141 old_emin = mpfr_get_emin (); 142 143 mpfr_init2 (x, 8); 144 mpfr_init2 (y, 8); 145 146 for (i = -1; i <= 1; i += 2) 147 RND_LOOP (rnd) 148 { 149 mpfr_set_inf (x, i); 150 mpfr_clear_flags (); 151 set_emin (2); /* 1 is not representable. */ 152 inex = mpfr_coth (x, x, (mpfr_rnd_t) rnd); 153 set_emin (old_emin); 154 if (! mpfr_underflow_p ()) 155 { 156 printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n" 157 " The underflow flag is not set.\n", 158 i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 159 err = 1; 160 } 161 mpfr_set_si (y, (i < 0 && (rnd == MPFR_RNDD || rnd == MPFR_RNDA)) || 162 (i > 0 && (rnd == MPFR_RNDU || rnd == MPFR_RNDA)) 163 ? 2 : 0, MPFR_RNDN); 164 if (i < 0) 165 mpfr_neg (y, y, MPFR_RNDN); 166 if (! (mpfr_equal_p (x, y) && 167 MPFR_MULT_SIGN (MPFR_SIGN (x), MPFR_SIGN (y)) > 0)) 168 { 169 printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n" 170 " Got ", i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 171 mpfr_print_binary (x); 172 printf (" instead of "); 173 mpfr_print_binary (y); 174 printf (".\n"); 175 err = 1; 176 } 177 if ((rnd == MPFR_RNDD || 178 (i > 0 && (rnd == MPFR_RNDN || rnd == MPFR_RNDZ))) && inex >= 0) 179 { 180 printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n" 181 " The inexact value must be negative.\n", 182 i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 183 err = 1; 184 } 185 if ((rnd == MPFR_RNDU || 186 (i < 0 && (rnd == MPFR_RNDN || rnd == MPFR_RNDZ))) && inex <= 0) 187 { 188 printf ("Error in underflowed_cothinf (i = %d, rnd = %s):\n" 189 " The inexact value must be positive.\n", 190 i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 191 err = 1; 192 } 193 } 194 195 if (err) 196 exit (1); 197 mpfr_clear (x); 198 mpfr_clear (y); 199 } 200 201 int 202 main (int argc, char *argv[]) 203 { 204 tests_start_mpfr (); 205 206 check_specials (); 207 check_bugs (); 208 test_generic (2, 200, 10); 209 underflowed_cothinf (); 210 211 tests_end_mpfr (); 212 return 0; 213 } 214