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1 | /* Complex sine hyperbole function for float types. | |
2 | Copyright (C) 1997-2024 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) |