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
check_specials(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
two2emin(mpfr_exp_t e)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
main(int argc,char * argv[])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