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 | } |
162 | weak_alias (__csinh, csinh) |
163 | #ifdef NO_LONG_DOUBLE |
164 | strong_alias (__csinh, __csinhl) |
165 | weak_alias (__csinh, csinhl) |
166 | #endif |
167 | |