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c50eee19 | 1 | /* Complex sine hyperbole function for float types. |
688903eb | 2 | Copyright (C) 1997-2018 Free Software Foundation, Inc. |
ffb84f5e PM |
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> | |
8f5b00d3 | 24 | #include <math-underflow.h> |
ffb84f5e PM |
25 | #include <float.h> |
26 | ||
c50eee19 PM |
27 | CFLOAT |
28 | M_DECL_FUNC (__csinh) (CFLOAT x) | |
ffb84f5e | 29 | { |
c50eee19 | 30 | CFLOAT retval; |
ffb84f5e PM |
31 | int negate = signbit (__real__ x); |
32 | int rcls = fpclassify (__real__ x); | |
33 | int icls = fpclassify (__imag__ x); | |
34 | ||
c50eee19 | 35 | __real__ x = M_FABS (__real__ x); |
ffb84f5e PM |
36 | |
37 | if (__glibc_likely (rcls >= FP_ZERO)) | |
38 | { | |
39 | /* Real part is finite. */ | |
40 | if (__glibc_likely (icls >= FP_ZERO)) | |
41 | { | |
42 | /* Imaginary part is finite. */ | |
c50eee19 PM |
43 | const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
44 | FLOAT sinix, cosix; | |
ffb84f5e | 45 | |
c50eee19 | 46 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
ffb84f5e | 47 | { |
c50eee19 | 48 | M_SINCOS (__imag__ x, &sinix, &cosix); |
ffb84f5e PM |
49 | } |
50 | else | |
51 | { | |
52 | sinix = __imag__ x; | |
c50eee19 | 53 | cosix = 1; |
ffb84f5e PM |
54 | } |
55 | ||
56 | if (negate) | |
57 | cosix = -cosix; | |
58 | ||
c50eee19 | 59 | if (M_FABS (__real__ x) > t) |
ffb84f5e | 60 | { |
c50eee19 PM |
61 | FLOAT exp_t = M_EXP (t); |
62 | FLOAT rx = M_FABS (__real__ x); | |
ffb84f5e PM |
63 | if (signbit (__real__ x)) |
64 | cosix = -cosix; | |
65 | rx -= t; | |
c50eee19 PM |
66 | sinix *= exp_t / 2; |
67 | cosix *= exp_t / 2; | |
ffb84f5e PM |
68 | if (rx > t) |
69 | { | |
70 | rx -= t; | |
71 | sinix *= exp_t; | |
72 | cosix *= exp_t; | |
73 | } | |
74 | if (rx > t) | |
75 | { | |
76 | /* Overflow (original real part of x > 3t). */ | |
c50eee19 PM |
77 | __real__ retval = M_MAX * cosix; |
78 | __imag__ retval = M_MAX * sinix; | |
ffb84f5e PM |
79 | } |
80 | else | |
81 | { | |
c50eee19 | 82 | FLOAT exp_val = M_EXP (rx); |
ffb84f5e PM |
83 | __real__ retval = exp_val * cosix; |
84 | __imag__ retval = exp_val * sinix; | |
85 | } | |
86 | } | |
87 | else | |
88 | { | |
c50eee19 PM |
89 | __real__ retval = M_SINH (__real__ x) * cosix; |
90 | __imag__ retval = M_COSH (__real__ x) * sinix; | |
ffb84f5e PM |
91 | } |
92 | ||
93 | math_check_force_underflow_complex (retval); | |
94 | } | |
95 | else | |
96 | { | |
97 | if (rcls == FP_ZERO) | |
98 | { | |
99 | /* Real part is 0.0. */ | |
c50eee19 | 100 | __real__ retval = M_COPYSIGN (0, negate ? -1 : 1); |
e886c367 | 101 | __imag__ retval = __imag__ x - __imag__ x; |
ffb84f5e PM |
102 | } |
103 | else | |
104 | { | |
c50eee19 PM |
105 | __real__ retval = M_NAN; |
106 | __imag__ retval = M_NAN; | |
ffb84f5e PM |
107 | |
108 | feraiseexcept (FE_INVALID); | |
109 | } | |
110 | } | |
111 | } | |
112 | else if (rcls == FP_INFINITE) | |
113 | { | |
114 | /* Real part is infinite. */ | |
115 | if (__glibc_likely (icls > FP_ZERO)) | |
116 | { | |
117 | /* Imaginary part is finite. */ | |
c50eee19 | 118 | FLOAT sinix, cosix; |
ffb84f5e | 119 | |
c50eee19 | 120 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
ffb84f5e | 121 | { |
c50eee19 | 122 | M_SINCOS (__imag__ x, &sinix, &cosix); |
ffb84f5e PM |
123 | } |
124 | else | |
125 | { | |
126 | sinix = __imag__ x; | |
c50eee19 | 127 | cosix = 1; |
ffb84f5e PM |
128 | } |
129 | ||
c50eee19 PM |
130 | __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix); |
131 | __imag__ retval = M_COPYSIGN (M_HUGE_VAL, sinix); | |
ffb84f5e PM |
132 | |
133 | if (negate) | |
134 | __real__ retval = -__real__ retval; | |
135 | } | |
136 | else if (icls == FP_ZERO) | |
137 | { | |
138 | /* Imaginary part is 0.0. */ | |
c50eee19 | 139 | __real__ retval = negate ? -M_HUGE_VAL : M_HUGE_VAL; |
ffb84f5e PM |
140 | __imag__ retval = __imag__ x; |
141 | } | |
142 | else | |
143 | { | |
c50eee19 | 144 | __real__ retval = M_HUGE_VAL; |
e886c367 | 145 | __imag__ retval = __imag__ x - __imag__ x; |
ffb84f5e PM |
146 | } |
147 | } | |
148 | else | |
149 | { | |
c50eee19 PM |
150 | __real__ retval = M_NAN; |
151 | __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN; | |
ffb84f5e PM |
152 | } |
153 | ||
154 | return retval; | |
155 | } | |
c50eee19 PM |
156 | |
157 | declare_mgen_alias (__csinh, csinh) |