1 /* Test file for mpfr_cot. 2 3 Copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. 4 Contributed by the AriC and Caramel 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_cot 29 #define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */ 30 #include "tgeneric.c" 31 32 static void 33 check_specials (void) 34 { 35 mpfr_t x, y; 36 37 mpfr_init2 (x, 123L); 38 mpfr_init2 (y, 123L); 39 40 mpfr_set_nan (x); 41 mpfr_cot (y, x, MPFR_RNDN); 42 if (! mpfr_nan_p (y)) 43 { 44 printf ("Error: cot(NaN) != NaN\n"); 45 exit (1); 46 } 47 48 mpfr_set_inf (x, 1); 49 mpfr_cot (y, x, MPFR_RNDN); 50 if (! mpfr_nan_p (y)) 51 { 52 printf ("Error: cot(Inf) != NaN\n"); 53 exit (1); 54 } 55 56 mpfr_set_inf (x, -1); 57 mpfr_cot (y, x, MPFR_RNDN); 58 if (! mpfr_nan_p (y)) 59 { 60 printf ("Error: cot(-Inf) != NaN\n"); 61 exit (1); 62 } 63 64 /* cot(+/-0) = +/-Inf */ 65 mpfr_set_ui (x, 0, MPFR_RNDN); 66 mpfr_cot (y, x, MPFR_RNDN); 67 if (! (mpfr_inf_p (y) && mpfr_sgn (y) > 0)) 68 { 69 printf ("Error: cot(+0) != +Inf\n"); 70 exit (1); 71 } 72 mpfr_neg (x, x, MPFR_RNDN); 73 mpfr_cot (y, x, MPFR_RNDN); 74 if (! (mpfr_inf_p (y) && mpfr_sgn (y) < 0)) 75 { 76 printf ("Error: cot(-0) != -Inf\n"); 77 exit (1); 78 } 79 80 mpfr_clear (x); 81 mpfr_clear (y); 82 } 83 84 static void 85 two2emin (mpfr_exp_t e) 86 { 87 mpfr_exp_t old_emin, old_emax; 88 mpfr_t x, y; 89 int i, rnd; 90 91 old_emin = mpfr_get_emin (); 92 old_emax = mpfr_get_emax (); 93 94 if (mpfr_set_emin (-e) || mpfr_set_emax (e)) 95 { 96 printf ("Can't change exponent range\n"); 97 exit (1); 98 } 99 100 mpfr_inits2 (53, x, y, (mpfr_ptr) 0); 101 for (i = -4; i <= 4; i++) 102 RND_LOOP (rnd) 103 { 104 mpfr_set_si (y, i, MPFR_RNDN); 105 mpfr_ui_div (y, 1, y, (mpfr_rnd_t) rnd); /* no overflow/underflow */ 106 mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); 107 if (ABS (i) != 3) /* not a power of 2 (not 0 either) */ 108 mpfr_sub (y, y, x, (mpfr_rnd_t) rnd); /* no overflow/underflow */ 109 mpfr_set_ui_2exp (x, 1, -e, MPFR_RNDN); 110 mpfr_div (y, y, x, (mpfr_rnd_t) rnd); /* 1/x - SIGN(x).epsilon */ 111 mpfr_set_si_2exp (x, i, -e, MPFR_RNDN); 112 mpfr_cot (x, x, (mpfr_rnd_t) rnd); 113 if (! mpfr_equal_p (x, y)) 114 { 115 printf ("Error in two2emin for i = %d and rnd = %s\n", 116 i, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 117 printf ("Got "); 118 mpfr_dump (x); 119 printf ("instead of "); 120 mpfr_dump (y); 121 exit (1); 122 } 123 } 124 mpfr_clears (x, y, (mpfr_ptr) 0); 125 126 mpfr_set_emin (old_emin); 127 mpfr_set_emax (old_emax); 128 } 129 130 int 131 main (int argc, char *argv[]) 132 { 133 tests_start_mpfr (); 134 135 check_specials (); 136 two2emin (256); 137 two2emin (MPFR_EMAX_DEFAULT); 138 if (MPFR_EMAX_MAX != MPFR_EMAX_DEFAULT) 139 two2emin (MPFR_EMAX_MAX); 140 test_generic (2, 200, 5); 141 142 tests_end_mpfr (); 143 return 0; 144 } 145