1/* Complex sine hyperbole function for double.
2 Copyright (C) 1997-2016 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 <http://www.gnu.org/licenses/>. */
19
20#include <complex.h>
21#include <fenv.h>
22#include <math.h>
23#include <math_private.h>
24#include <float.h>
25
26__complex__ double
27__csinh (__complex__ double x)
28{
29 __complex__ double retval;
30 int negate = signbit (__real__ x);
31 int rcls = fpclassify (__real__ x);
32 int icls = fpclassify (__imag__ x);
33
34 __real__ x = fabs (__real__ x);
35
36 if (__glibc_likely (rcls >= FP_ZERO))
37 {
38 /* Real part is finite. */
39 if (__glibc_likely (icls >= FP_ZERO))
40 {
41 /* Imaginary part is finite. */
42 const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
43 double sinix, cosix;
44
45 if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
46 {
47 __sincos (__imag__ x, &sinix, &cosix);
48 }
49 else
50 {
51 sinix = __imag__ x;
52 cosix = 1.0;
53 }
54
55 if (negate)
56 cosix = -cosix;
57
58 if (fabs (__real__ x) > t)
59 {
60 double exp_t = __ieee754_exp (t);
61 double rx = fabs (__real__ x);
62 if (signbit (__real__ x))
63 cosix = -cosix;
64 rx -= t;
65 sinix *= exp_t / 2.0;
66 cosix *= exp_t / 2.0;
67 if (rx > t)
68 {
69 rx -= t;
70 sinix *= exp_t;
71 cosix *= exp_t;
72 }
73 if (rx > t)
74 {
75 /* Overflow (original real part of x > 3t). */
76 __real__ retval = DBL_MAX * cosix;
77 __imag__ retval = DBL_MAX * sinix;
78 }
79 else
80 {
81 double exp_val = __ieee754_exp (rx);
82 __real__ retval = exp_val * cosix;
83 __imag__ retval = exp_val * sinix;
84 }
85 }
86 else
87 {
88 __real__ retval = __ieee754_sinh (__real__ x) * cosix;
89 __imag__ retval = __ieee754_cosh (__real__ x) * sinix;
90 }
91
92 math_check_force_underflow_complex (retval);
93 }
94 else
95 {
96 if (rcls == FP_ZERO)
97 {
98 /* Real part is 0.0. */
99 __real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
100 __imag__ retval = __nan ("") + __nan ("");
101
102 if (icls == FP_INFINITE)
103 feraiseexcept (FE_INVALID);
104 }
105 else
106 {
107 __real__ retval = __nan ("");
108 __imag__ retval = __nan ("");
109
110 feraiseexcept (FE_INVALID);
111 }
112 }
113 }
114 else if (rcls == FP_INFINITE)
115 {
116 /* Real part is infinite. */
117 if (__glibc_likely (icls > FP_ZERO))
118 {
119 /* Imaginary part is finite. */
120 double sinix, cosix;
121
122 if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
123 {
124 __sincos (__imag__ x, &sinix, &cosix);
125 }
126 else
127 {
128 sinix = __imag__ x;
129 cosix = 1.0;
130 }
131
132 __real__ retval = __copysign (HUGE_VAL, cosix);
133 __imag__ retval = __copysign (HUGE_VAL, sinix);
134
135 if (negate)
136 __real__ retval = -__real__ retval;
137 }
138 else if (icls == FP_ZERO)
139 {
140 /* Imaginary part is 0.0. */
141 __real__ retval = negate ? -HUGE_VAL : HUGE_VAL;
142 __imag__ retval = __imag__ x;
143 }
144 else
145 {
146 /* The addition raises the invalid exception. */
147 __real__ retval = HUGE_VAL;
148 __imag__ retval = __nan ("") + __nan ("");
149
150 if (icls == FP_INFINITE)
151 feraiseexcept (FE_INVALID);
152 }
153 }
154 else
155 {
156 __real__ retval = __nan ("");
157 __imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
158 }
159
160 return retval;
161}
162weak_alias (__csinh, csinh)
163#ifdef NO_LONG_DOUBLE
164strong_alias (__csinh, __csinhl)
165weak_alias (__csinh, csinhl)
166#endif
167