1 | /* Complex sine hyperbole function for float types. |
2 | Copyright (C) 1997-2022 Free Software Foundation, Inc. |
3 | This file is part of the GNU C Library. |
4 | |
5 | The GNU C Library is free software; you can redistribute it and/or |
6 | modify it under the terms of the GNU Lesser General Public |
7 | License as published by the Free Software Foundation; either |
8 | version 2.1 of the License, or (at your option) any later version. |
9 | |
10 | The GNU C Library is distributed in the hope that it will be useful, |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
13 | Lesser General Public License for more details. |
14 | |
15 | You should have received a copy of the GNU Lesser General Public |
16 | License along with the GNU C Library; if not, see |
17 | <https://www.gnu.org/licenses/>. */ |
18 | |
19 | #include <complex.h> |
20 | #include <fenv.h> |
21 | #include <math.h> |
22 | #include <math_private.h> |
23 | #include <math-underflow.h> |
24 | #include <float.h> |
25 | |
26 | CFLOAT |
27 | M_DECL_FUNC (__csinh) (CFLOAT x) |
28 | { |
29 | CFLOAT retval; |
30 | int negate = signbit (__real__ x); |
31 | int rcls = fpclassify (__real__ x); |
32 | int icls = fpclassify (__imag__ x); |
33 | |
34 | __real__ x = M_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) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
43 | FLOAT sinix, cosix; |
44 | |
45 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
46 | { |
47 | M_SINCOS (__imag__ x, &sinix, &cosix); |
48 | } |
49 | else |
50 | { |
51 | sinix = __imag__ x; |
52 | cosix = 1; |
53 | } |
54 | |
55 | if (negate) |
56 | cosix = -cosix; |
57 | |
58 | if (M_FABS (__real__ x) > t) |
59 | { |
60 | FLOAT exp_t = M_EXP (t); |
61 | FLOAT rx = M_FABS (__real__ x); |
62 | if (signbit (__real__ x)) |
63 | cosix = -cosix; |
64 | rx -= t; |
65 | sinix *= exp_t / 2; |
66 | cosix *= exp_t / 2; |
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 = M_MAX * cosix; |
77 | __imag__ retval = M_MAX * sinix; |
78 | } |
79 | else |
80 | { |
81 | FLOAT exp_val = M_EXP (rx); |
82 | __real__ retval = exp_val * cosix; |
83 | __imag__ retval = exp_val * sinix; |
84 | } |
85 | } |
86 | else |
87 | { |
88 | __real__ retval = M_SINH (__real__ x) * cosix; |
89 | __imag__ retval = M_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 = M_COPYSIGN (0, negate ? -1 : 1); |
100 | __imag__ retval = __imag__ x - __imag__ x; |
101 | } |
102 | else |
103 | { |
104 | __real__ retval = M_NAN; |
105 | __imag__ retval = M_NAN; |
106 | |
107 | feraiseexcept (FE_INVALID); |
108 | } |
109 | } |
110 | } |
111 | else if (rcls == FP_INFINITE) |
112 | { |
113 | /* Real part is infinite. */ |
114 | if (__glibc_likely (icls > FP_ZERO)) |
115 | { |
116 | /* Imaginary part is finite. */ |
117 | FLOAT sinix, cosix; |
118 | |
119 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
120 | { |
121 | M_SINCOS (__imag__ x, &sinix, &cosix); |
122 | } |
123 | else |
124 | { |
125 | sinix = __imag__ x; |
126 | cosix = 1; |
127 | } |
128 | |
129 | __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix); |
130 | __imag__ retval = M_COPYSIGN (M_HUGE_VAL, sinix); |
131 | |
132 | if (negate) |
133 | __real__ retval = -__real__ retval; |
134 | } |
135 | else if (icls == FP_ZERO) |
136 | { |
137 | /* Imaginary part is 0.0. */ |
138 | __real__ retval = negate ? -M_HUGE_VAL : M_HUGE_VAL; |
139 | __imag__ retval = __imag__ x; |
140 | } |
141 | else |
142 | { |
143 | __real__ retval = M_HUGE_VAL; |
144 | __imag__ retval = __imag__ x - __imag__ x; |
145 | } |
146 | } |
147 | else |
148 | { |
149 | __real__ retval = M_NAN; |
150 | __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN; |
151 | } |
152 | |
153 | return retval; |
154 | } |
155 | |
156 | declare_mgen_alias (__csinh, csinh) |
157 | |