xref: /netbsd-src/external/lgpl3/mpfr/dist/tests/tsinh.c (revision 4ac76180e904e771b9d522c7e57296d371f06499)
1 /* Test file for mpfr_sinh.
2 
3 Copyright 2001-2002, 2004, 2006-2023 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_sinh
26 #define TEST_RANDOM_EMIN -36
27 #define TEST_RANDOM_EMAX 36
28 #include "tgeneric.c"
29 
30 static void
31 special (void)
32 {
33   mpfr_t x;
34   int i;
35 
36   mpfr_init (x);
37 
38   mpfr_set_nan (x);
39   mpfr_sinh (x, x, MPFR_RNDN);
40   MPFR_ASSERTN(mpfr_nan_p (x));
41 
42   mpfr_set_inf (x, 1);
43   mpfr_sinh (x, x, MPFR_RNDN);
44   MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
45   mpfr_set_inf (x, -1);
46   mpfr_sinh (x, x, MPFR_RNDN);
47   MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
48 
49   mpfr_set_prec (x, 10);
50   mpfr_set_str_binary (x, "-0.1001011001");
51   mpfr_sinh (x, x, MPFR_RNDN);
52   MPFR_ASSERTN(mpfr_cmp_si_2exp (x, -159, -8) == 0);
53 
54   /* corner case */
55   mpfr_set_prec (x, 2);
56   mpfr_set_str_binary (x, "1E-6");
57   mpfr_sinh (x, x, MPFR_RNDN);
58   MPFR_ASSERTN(mpfr_cmp_ui_2exp (x, 1, -6) == 0);
59 
60   mpfr_clear_flags ();
61   mpfr_set_str_binary (x, "1E1000000000");
62   i = mpfr_sinh (x, x, MPFR_RNDN);
63   MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
64   MPFR_ASSERTN (mpfr_overflow_p ());
65   MPFR_ASSERTN (i == 1);
66 
67   mpfr_clear_flags ();
68   mpfr_set_str_binary (x, "-1E1000000000");
69   i = mpfr_sinh (x, x, MPFR_RNDN);
70   MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
71   MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
72   MPFR_ASSERTN (i == -1);
73 
74   mpfr_clear_flags ();
75   mpfr_set_str_binary (x, "-1E1000000000");
76   i = mpfr_sinh (x, x, MPFR_RNDD);
77   MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
78   MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
79   MPFR_ASSERTN (i == -1);
80 
81   mpfr_clear_flags ();
82   mpfr_set_str_binary (x, "-1E1000000000");
83   i = mpfr_sinh (x, x, MPFR_RNDU);
84   MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_NEG (x));
85   MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
86   MPFR_ASSERTN (i == 1);
87 
88   mpfr_clear (x);
89 }
90 
91 /* exercise mpfr_sinh near the overflow limit */
92 static void
93 coverage (void)
94 {
95 #if _MPFR_EXP_FORMAT >= 3 && ULONG_MAX == 0xffffffffffffffff
96   mpfr_t x, y;
97   int inex;
98   mpfr_exp_t emax;
99 
100   emax = mpfr_get_emax ();
101   mpfr_init2 (x, 64);
102   mpfr_init2 (y, 64);
103 
104   MPFR_ASSERTN(mpfr_get_emax_max () == 4611686018427387903UL); /* 2^62-1 */
105   set_emax (mpfr_get_emax_max ());
106 
107   mpfr_set_ui (x, 3196577161300663915UL, MPFR_RNDN);
108   mpfr_clear_overflow ();
109   /* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
110      but 2*cosh(x/2)*sinh(x/2) overflows */
111   inex = mpfr_sinh (y, x, MPFR_RNDZ);
112   MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 18446744073709551615UL, 4611686018427387839UL) == 0);
113   MPFR_ASSERTN(inex < 0);
114   MPFR_ASSERTN(mpfr_overflow_p ());
115 
116   mpfr_set_prec (x, 65);
117   mpfr_set_str (x, "3196577161300663914.5", 10, MPFR_RNDN);
118   mpfr_clear_overflow ();
119   /* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
120      and 2*cosh(x/2)*sinh(x/2) does not overflow */
121   inex = mpfr_sinh (y, x, MPFR_RNDN);
122   MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 11795642775994293059UL, 4611686018427387839UL) == 0);
123   MPFR_ASSERTN(inex > 0);
124   MPFR_ASSERTN(!mpfr_overflow_p ());
125 
126   mpfr_clear (x);
127   mpfr_clear (y);
128   set_emax (emax);
129 #endif
130 }
131 
132 int
133 main (int argc, char *argv[])
134 {
135   tests_start_mpfr ();
136 
137   coverage ();
138   special ();
139 
140   test_generic (MPFR_PREC_MIN, 100, 100);
141 
142   data_check ("data/sinh", mpfr_sinh, "mpfr_sinh");
143   bad_cases (mpfr_sinh, mpfr_asinh, "mpfr_sinh", 256, -256, 255,
144              4, 128, 800, 100);
145 
146   tests_end_mpfr ();
147   return 0;
148 }
149