1 /* Test file for mpfr_cot. 2 3 Copyright 2005-2023 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 https://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 "mpfr-test.h" 24 25 #define TEST_FUNCTION mpfr_cot 26 #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ 27 #include "tgeneric.c" 28 29 static void 30 check_specials (void) 31 { 32 mpfr_t x, y; 33 34 mpfr_init2 (x, 123L); 35 mpfr_init2 (y, 123L); 36 37 mpfr_set_nan (x); 38 mpfr_cot (y, x, MPFR_RNDN); 39 if (! mpfr_nan_p (y)) 40 { 41 printf ("Error: cot(NaN) != NaN\n"); 42 exit (1); 43 } 44 45 mpfr_set_inf (x, 1); 46 mpfr_cot (y, x, MPFR_RNDN); 47 if (! mpfr_nan_p (y)) 48 { 49 printf ("Error: cot(Inf) != NaN\n"); 50 exit (1); 51 } 52 53 mpfr_set_inf (x, -1); 54 mpfr_cot (y, x, MPFR_RNDN); 55 if (! mpfr_nan_p (y)) 56 { 57 printf ("Error: cot(-Inf) != NaN\n"); 58 exit (1); 59 } 60 61 /* cot(+/-0) = +/-Inf */ 62 mpfr_set_ui (x, 0, MPFR_RNDN); 63 mpfr_cot (y, x, MPFR_RNDN); 64 if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0)) 65 { 66 printf ("Error: cot(+0) != +Inf\n"); 67 exit (1); 68 } 69 mpfr_neg (x, x, MPFR_RNDN); 70 mpfr_cot (y, x, MPFR_RNDN); 71 if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0)) 72 { 73 printf ("Error: cot(-0) != -Inf\n"); 74 exit (1); 75 } 76 77 mpfr_clear (x); 78 mpfr_clear (y); 79 } 80 81 static void 82 two2emin (mpfr_exp_t e) 83 { 84 mpfr_exp_t old_emin, old_emax; 85 mpfr_t x, y; 86 int i, rnd; 87 88 old_emin = mpfr_get_emin (); 89 old_emax = mpfr_get_emax (); 90 91 set_emin (-e); 92 set_emax (e); 93 94 mpfr_inits2 (53, x, y, (mpfr_ptr) 0); 95 for (i = -4; i <= 4; i++) 96 RND_LOOP (rnd) 97 { 98 mpfr_set_si (y, i, MPFR_RNDN); 99 mpfr_ui_div (y, 1, y, (mpfr_rnd_t) rnd); /* no overflow/underflow */ 100 mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); 101 if (ABS (i) != 3) /* not a power of 2 (not 0 either) */ 102 mpfr_sub (y, y, x, (mpfr_rnd_t) rnd); /* no overflow/underflow */ 103 mpfr_set_ui_2exp (x, 1, -e, MPFR_RNDN); 104 mpfr_div (y, y, x, (mpfr_rnd_t) rnd); /* 1/x - SIGN(x).epsilon */ 105 mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); 106 mpfr_cot (x, x, (mpfr_rnd_t) rnd); 107 if (! mpfr_equal_p (x, y) && rnd != MPFR_RNDF) 108 { 109 printf ("Error in two2emin for i = %d and rnd = %s\n", 110 i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 111 printf ("Got "); 112 mpfr_dump (x); 113 printf ("instead of "); 114 mpfr_dump (y); 115 exit (1); 116 } 117 } 118 mpfr_clears (x, y, (mpfr_ptr) 0); 119 120 set_emin (old_emin); 121 set_emax (old_emax); 122 } 123 124 int 125 main (int argc, char *argv[]) 126 { 127 tests_start_mpfr (); 128 129 check_specials (); 130 two2emin (256); 131 two2emin (MPFR_EMAX_DEFAULT); 132 if (MPFR_EMAX_MAX != MPFR_EMAX_DEFAULT) 133 two2emin (MPFR_EMAX_MAX); 134 test_generic (MPFR_PREC_MIN, 200, 5); 135 136 tests_end_mpfr (); 137 return 0; 138 } 139