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c50eee19 | 1 | /* Complex sine hyperbole function for float types. |
ffb84f5e PM |
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 | ||
c50eee19 PM |
26 | CFLOAT |
27 | M_DECL_FUNC (__csinh) (CFLOAT x) | |
ffb84f5e | 28 | { |
c50eee19 | 29 | CFLOAT retval; |
ffb84f5e PM |
30 | int negate = signbit (__real__ x); |
31 | int rcls = fpclassify (__real__ x); | |
32 | int icls = fpclassify (__imag__ x); | |
33 | ||
c50eee19 | 34 | __real__ x = M_FABS (__real__ x); |
ffb84f5e PM |
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. */ | |
c50eee19 PM |
42 | const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
43 | FLOAT sinix, cosix; | |
ffb84f5e | 44 | |
c50eee19 | 45 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
ffb84f5e | 46 | { |
c50eee19 | 47 | M_SINCOS (__imag__ x, &sinix, &cosix); |
ffb84f5e PM |
48 | } |
49 | else | |
50 | { | |
51 | sinix = __imag__ x; | |
c50eee19 | 52 | cosix = 1; |
ffb84f5e PM |
53 | } |
54 | ||
55 | if (negate) | |
56 | cosix = -cosix; | |
57 | ||
c50eee19 | 58 | if (M_FABS (__real__ x) > t) |
ffb84f5e | 59 | { |
c50eee19 PM |
60 | FLOAT exp_t = M_EXP (t); |
61 | FLOAT rx = M_FABS (__real__ x); | |
ffb84f5e PM |
62 | if (signbit (__real__ x)) |
63 | cosix = -cosix; | |
64 | rx -= t; | |
c50eee19 PM |
65 | sinix *= exp_t / 2; |
66 | cosix *= exp_t / 2; | |
ffb84f5e PM |
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). */ | |
c50eee19 PM |
76 | __real__ retval = M_MAX * cosix; |
77 | __imag__ retval = M_MAX * sinix; | |
ffb84f5e PM |
78 | } |
79 | else | |
80 | { | |
c50eee19 | 81 | FLOAT exp_val = M_EXP (rx); |
ffb84f5e PM |
82 | __real__ retval = exp_val * cosix; |
83 | __imag__ retval = exp_val * sinix; | |
84 | } | |
85 | } | |
86 | else | |
87 | { | |
c50eee19 PM |
88 | __real__ retval = M_SINH (__real__ x) * cosix; |
89 | __imag__ retval = M_COSH (__real__ x) * sinix; | |
ffb84f5e PM |
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. */ | |
c50eee19 PM |
99 | __real__ retval = M_COPYSIGN (0, negate ? -1 : 1); |
100 | __imag__ retval = M_NAN + M_NAN; | |
ffb84f5e PM |
101 | |
102 | if (icls == FP_INFINITE) | |
103 | feraiseexcept (FE_INVALID); | |
104 | } | |
105 | else | |
106 | { | |
c50eee19 PM |
107 | __real__ retval = M_NAN; |
108 | __imag__ retval = M_NAN; | |
ffb84f5e PM |
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. */ | |
c50eee19 | 120 | FLOAT sinix, cosix; |
ffb84f5e | 121 | |
c50eee19 | 122 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
ffb84f5e | 123 | { |
c50eee19 | 124 | M_SINCOS (__imag__ x, &sinix, &cosix); |
ffb84f5e PM |
125 | } |
126 | else | |
127 | { | |
128 | sinix = __imag__ x; | |
c50eee19 | 129 | cosix = 1; |
ffb84f5e PM |
130 | } |
131 | ||
c50eee19 PM |
132 | __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix); |
133 | __imag__ retval = M_COPYSIGN (M_HUGE_VAL, sinix); | |
ffb84f5e PM |
134 | |
135 | if (negate) | |
136 | __real__ retval = -__real__ retval; | |
137 | } | |
138 | else if (icls == FP_ZERO) | |
139 | { | |
140 | /* Imaginary part is 0.0. */ | |
c50eee19 | 141 | __real__ retval = negate ? -M_HUGE_VAL : M_HUGE_VAL; |
ffb84f5e PM |
142 | __imag__ retval = __imag__ x; |
143 | } | |
144 | else | |
145 | { | |
146 | /* The addition raises the invalid exception. */ | |
c50eee19 PM |
147 | __real__ retval = M_HUGE_VAL; |
148 | __imag__ retval = M_NAN + M_NAN; | |
ffb84f5e PM |
149 | |
150 | if (icls == FP_INFINITE) | |
151 | feraiseexcept (FE_INVALID); | |
152 | } | |
153 | } | |
154 | else | |
155 | { | |
c50eee19 PM |
156 | __real__ retval = M_NAN; |
157 | __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN; | |
ffb84f5e PM |
158 | } |
159 | ||
160 | return retval; | |
161 | } | |
c50eee19 PM |
162 | |
163 | declare_mgen_alias (__csinh, csinh) | |
164 | ||
165 | #if M_LIBM_NEED_COMPAT (csinh) | |
166 | declare_mgen_libm_compat (__csinh, csinh) | |
ffb84f5e | 167 | #endif |