1/* Complex sine hyperbole function for float types.
2 Copyright (C) 1997-2020 Free Software Foundation, Inc.
3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Lesser General Public License for more details.
15
16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, see
18 <https://www.gnu.org/licenses/>. */
19
20#include <complex.h>
21#include <fenv.h>
22#include <math.h>
23#include <math_private.h>
24#include <math-underflow.h>
25#include <float.h>
26
27CFLOAT
28M_DECL_FUNC (__csinh) (CFLOAT x)
29{
30 CFLOAT retval;
31 int negate = signbit (__real__ x);
32 int rcls = fpclassify (__real__ x);
33 int icls = fpclassify (__imag__ x);
34
35 __real__ x = M_FABS (__real__ x);
36
37 if (__glibc_likely (rcls >= FP_ZERO))
38 {
39 /* Real part is finite. */
40 if (__glibc_likely (icls >= FP_ZERO))
41 {
42 /* Imaginary part is finite. */
43 const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2));
44 FLOAT sinix, cosix;
45
46 if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
47 {
48 M_SINCOS (__imag__ x, &sinix, &cosix);
49 }
50 else
51 {
52 sinix = __imag__ x;
53 cosix = 1;
54 }
55
56 if (negate)
57 cosix = -cosix;
58
59 if (M_FABS (__real__ x) > t)
60 {
61 FLOAT exp_t = M_EXP (t);
62 FLOAT rx = M_FABS (__real__ x);
63 if (signbit (__real__ x))
64 cosix = -cosix;
65 rx -= t;
66 sinix *= exp_t / 2;
67 cosix *= exp_t / 2;
68 if (rx > t)
69 {
70 rx -= t;
71 sinix *= exp_t;
72 cosix *= exp_t;
73 }
74 if (rx > t)
75 {
76 /* Overflow (original real part of x > 3t). */
77 __real__ retval = M_MAX * cosix;
78 __imag__ retval = M_MAX * sinix;
79 }
80 else
81 {
82 FLOAT exp_val = M_EXP (rx);
83 __real__ retval = exp_val * cosix;
84 __imag__ retval = exp_val * sinix;
85 }
86 }
87 else
88 {
89 __real__ retval = M_SINH (__real__ x) * cosix;
90 __imag__ retval = M_COSH (__real__ x) * sinix;
91 }
92
93 math_check_force_underflow_complex (retval);
94 }
95 else
96 {
97 if (rcls == FP_ZERO)
98 {
99 /* Real part is 0.0. */
100 __real__ retval = M_COPYSIGN (0, negate ? -1 : 1);
101 __imag__ retval = __imag__ x - __imag__ x;
102 }
103 else
104 {
105 __real__ retval = M_NAN;
106 __imag__ retval = M_NAN;
107
108 feraiseexcept (FE_INVALID);
109 }
110 }
111 }
112 else if (rcls == FP_INFINITE)
113 {
114 /* Real part is infinite. */
115 if (__glibc_likely (icls > FP_ZERO))
116 {
117 /* Imaginary part is finite. */
118 FLOAT sinix, cosix;
119
120 if (__glibc_likely (M_FABS (__imag__ x) > M_MIN))
121 {
122 M_SINCOS (__imag__ x, &sinix, &cosix);
123 }
124 else
125 {
126 sinix = __imag__ x;
127 cosix = 1;
128 }
129
130 __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix);
131 __imag__ retval = M_COPYSIGN (M_HUGE_VAL, sinix);
132
133 if (negate)
134 __real__ retval = -__real__ retval;
135 }
136 else if (icls == FP_ZERO)
137 {
138 /* Imaginary part is 0.0. */
139 __real__ retval = negate ? -M_HUGE_VAL : M_HUGE_VAL;
140 __imag__ retval = __imag__ x;
141 }
142 else
143 {
144 __real__ retval = M_HUGE_VAL;
145 __imag__ retval = __imag__ x - __imag__ x;
146 }
147 }
148 else
149 {
150 __real__ retval = M_NAN;
151 __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN;
152 }
153
154 return retval;
155}
156
157declare_mgen_alias (__csinh, csinh)
158