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01ee3870 | 1 | /* Complex cosine hyperbolic function for float types. |
2b778ceb | 2 | Copyright (C) 1997-2021 Free Software Foundation, Inc. |
281f5073 | 3 | This file is part of the GNU C Library. |
281f5073 PM |
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 | |
5a82c748 | 17 | <https://www.gnu.org/licenses/>. */ |
281f5073 PM |
18 | |
19 | #include <complex.h> | |
20 | #include <fenv.h> | |
21 | #include <math.h> | |
22 | #include <math_private.h> | |
8f5b00d3 | 23 | #include <math-underflow.h> |
281f5073 PM |
24 | #include <float.h> |
25 | ||
01ee3870 PM |
26 | CFLOAT |
27 | M_DECL_FUNC (__ccosh) (CFLOAT x) | |
281f5073 | 28 | { |
01ee3870 | 29 | CFLOAT retval; |
281f5073 PM |
30 | int rcls = fpclassify (__real__ x); |
31 | int icls = fpclassify (__imag__ x); | |
32 | ||
33 | if (__glibc_likely (rcls >= FP_ZERO)) | |
34 | { | |
35 | /* Real part is finite. */ | |
36 | if (__glibc_likely (icls >= FP_ZERO)) | |
37 | { | |
38 | /* Imaginary part is finite. */ | |
01ee3870 PM |
39 | const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
40 | FLOAT sinix, cosix; | |
281f5073 | 41 | |
01ee3870 | 42 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
281f5073 | 43 | { |
01ee3870 | 44 | M_SINCOS (__imag__ x, &sinix, &cosix); |
281f5073 PM |
45 | } |
46 | else | |
47 | { | |
48 | sinix = __imag__ x; | |
01ee3870 | 49 | cosix = 1; |
281f5073 PM |
50 | } |
51 | ||
01ee3870 | 52 | if (M_FABS (__real__ x) > t) |
281f5073 | 53 | { |
01ee3870 PM |
54 | FLOAT exp_t = M_EXP (t); |
55 | FLOAT rx = M_FABS (__real__ x); | |
281f5073 PM |
56 | if (signbit (__real__ x)) |
57 | sinix = -sinix; | |
58 | rx -= t; | |
01ee3870 PM |
59 | sinix *= exp_t / 2; |
60 | cosix *= exp_t / 2; | |
281f5073 PM |
61 | if (rx > t) |
62 | { | |
63 | rx -= t; | |
64 | sinix *= exp_t; | |
65 | cosix *= exp_t; | |
66 | } | |
67 | if (rx > t) | |
68 | { | |
69 | /* Overflow (original real part of x > 3t). */ | |
01ee3870 PM |
70 | __real__ retval = M_MAX * cosix; |
71 | __imag__ retval = M_MAX * sinix; | |
281f5073 PM |
72 | } |
73 | else | |
74 | { | |
01ee3870 | 75 | FLOAT exp_val = M_EXP (rx); |
281f5073 PM |
76 | __real__ retval = exp_val * cosix; |
77 | __imag__ retval = exp_val * sinix; | |
78 | } | |
79 | } | |
80 | else | |
81 | { | |
01ee3870 PM |
82 | __real__ retval = M_COSH (__real__ x) * cosix; |
83 | __imag__ retval = M_SINH (__real__ x) * sinix; | |
281f5073 PM |
84 | } |
85 | ||
86 | math_check_force_underflow_complex (retval); | |
87 | } | |
88 | else | |
89 | { | |
01ee3870 | 90 | __imag__ retval = __real__ x == 0 ? 0 : M_NAN; |
e886c367 | 91 | __real__ retval = __imag__ x - __imag__ x; |
281f5073 PM |
92 | } |
93 | } | |
94 | else if (rcls == FP_INFINITE) | |
95 | { | |
96 | /* Real part is infinite. */ | |
97 | if (__glibc_likely (icls > FP_ZERO)) | |
98 | { | |
99 | /* Imaginary part is finite. */ | |
01ee3870 | 100 | FLOAT sinix, cosix; |
281f5073 | 101 | |
01ee3870 | 102 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
281f5073 | 103 | { |
01ee3870 | 104 | M_SINCOS (__imag__ x, &sinix, &cosix); |
281f5073 PM |
105 | } |
106 | else | |
107 | { | |
108 | sinix = __imag__ x; | |
01ee3870 | 109 | cosix = 1; |
281f5073 PM |
110 | } |
111 | ||
01ee3870 PM |
112 | __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix); |
113 | __imag__ retval = (M_COPYSIGN (M_HUGE_VAL, sinix) | |
114 | * M_COPYSIGN (1, __real__ x)); | |
281f5073 PM |
115 | } |
116 | else if (icls == FP_ZERO) | |
117 | { | |
118 | /* Imaginary part is 0.0. */ | |
01ee3870 PM |
119 | __real__ retval = M_HUGE_VAL; |
120 | __imag__ retval = __imag__ x * M_COPYSIGN (1, __real__ x); | |
281f5073 PM |
121 | } |
122 | else | |
123 | { | |
01ee3870 | 124 | __real__ retval = M_HUGE_VAL; |
e886c367 | 125 | __imag__ retval = __imag__ x - __imag__ x; |
281f5073 PM |
126 | } |
127 | } | |
128 | else | |
129 | { | |
01ee3870 PM |
130 | __real__ retval = M_NAN; |
131 | __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN; | |
281f5073 PM |
132 | } |
133 | ||
134 | return retval; | |
135 | } | |
01ee3870 PM |
136 | |
137 | declare_mgen_alias (__ccosh, ccosh); |