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01ee3870 | 1 | /* Complex cosine hyperbolic function for float types. |
688903eb | 2 | Copyright (C) 1997-2018 Free Software Foundation, Inc. |
281f5073 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> |
281f5073 PM |
25 | #include <float.h> |
26 | ||
01ee3870 PM |
27 | CFLOAT |
28 | M_DECL_FUNC (__ccosh) (CFLOAT x) | |
281f5073 | 29 | { |
01ee3870 | 30 | CFLOAT retval; |
281f5073 PM |
31 | int rcls = fpclassify (__real__ x); |
32 | int icls = fpclassify (__imag__ x); | |
33 | ||
34 | if (__glibc_likely (rcls >= FP_ZERO)) | |
35 | { | |
36 | /* Real part is finite. */ | |
37 | if (__glibc_likely (icls >= FP_ZERO)) | |
38 | { | |
39 | /* Imaginary part is finite. */ | |
01ee3870 PM |
40 | const int t = (int) ((M_MAX_EXP - 1) * M_MLIT (M_LN2)); |
41 | FLOAT sinix, cosix; | |
281f5073 | 42 | |
01ee3870 | 43 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
281f5073 | 44 | { |
01ee3870 | 45 | M_SINCOS (__imag__ x, &sinix, &cosix); |
281f5073 PM |
46 | } |
47 | else | |
48 | { | |
49 | sinix = __imag__ x; | |
01ee3870 | 50 | cosix = 1; |
281f5073 PM |
51 | } |
52 | ||
01ee3870 | 53 | if (M_FABS (__real__ x) > t) |
281f5073 | 54 | { |
01ee3870 PM |
55 | FLOAT exp_t = M_EXP (t); |
56 | FLOAT rx = M_FABS (__real__ x); | |
281f5073 PM |
57 | if (signbit (__real__ x)) |
58 | sinix = -sinix; | |
59 | rx -= t; | |
01ee3870 PM |
60 | sinix *= exp_t / 2; |
61 | cosix *= exp_t / 2; | |
281f5073 PM |
62 | if (rx > t) |
63 | { | |
64 | rx -= t; | |
65 | sinix *= exp_t; | |
66 | cosix *= exp_t; | |
67 | } | |
68 | if (rx > t) | |
69 | { | |
70 | /* Overflow (original real part of x > 3t). */ | |
01ee3870 PM |
71 | __real__ retval = M_MAX * cosix; |
72 | __imag__ retval = M_MAX * sinix; | |
281f5073 PM |
73 | } |
74 | else | |
75 | { | |
01ee3870 | 76 | FLOAT exp_val = M_EXP (rx); |
281f5073 PM |
77 | __real__ retval = exp_val * cosix; |
78 | __imag__ retval = exp_val * sinix; | |
79 | } | |
80 | } | |
81 | else | |
82 | { | |
01ee3870 PM |
83 | __real__ retval = M_COSH (__real__ x) * cosix; |
84 | __imag__ retval = M_SINH (__real__ x) * sinix; | |
281f5073 PM |
85 | } |
86 | ||
87 | math_check_force_underflow_complex (retval); | |
88 | } | |
89 | else | |
90 | { | |
01ee3870 | 91 | __imag__ retval = __real__ x == 0 ? 0 : M_NAN; |
e886c367 | 92 | __real__ retval = __imag__ x - __imag__ x; |
281f5073 PM |
93 | } |
94 | } | |
95 | else if (rcls == FP_INFINITE) | |
96 | { | |
97 | /* Real part is infinite. */ | |
98 | if (__glibc_likely (icls > FP_ZERO)) | |
99 | { | |
100 | /* Imaginary part is finite. */ | |
01ee3870 | 101 | FLOAT sinix, cosix; |
281f5073 | 102 | |
01ee3870 | 103 | if (__glibc_likely (M_FABS (__imag__ x) > M_MIN)) |
281f5073 | 104 | { |
01ee3870 | 105 | M_SINCOS (__imag__ x, &sinix, &cosix); |
281f5073 PM |
106 | } |
107 | else | |
108 | { | |
109 | sinix = __imag__ x; | |
01ee3870 | 110 | cosix = 1; |
281f5073 PM |
111 | } |
112 | ||
01ee3870 PM |
113 | __real__ retval = M_COPYSIGN (M_HUGE_VAL, cosix); |
114 | __imag__ retval = (M_COPYSIGN (M_HUGE_VAL, sinix) | |
115 | * M_COPYSIGN (1, __real__ x)); | |
281f5073 PM |
116 | } |
117 | else if (icls == FP_ZERO) | |
118 | { | |
119 | /* Imaginary part is 0.0. */ | |
01ee3870 PM |
120 | __real__ retval = M_HUGE_VAL; |
121 | __imag__ retval = __imag__ x * M_COPYSIGN (1, __real__ x); | |
281f5073 PM |
122 | } |
123 | else | |
124 | { | |
01ee3870 | 125 | __real__ retval = M_HUGE_VAL; |
e886c367 | 126 | __imag__ retval = __imag__ x - __imag__ x; |
281f5073 PM |
127 | } |
128 | } | |
129 | else | |
130 | { | |
01ee3870 PM |
131 | __real__ retval = M_NAN; |
132 | __imag__ retval = __imag__ x == 0 ? __imag__ x : M_NAN; | |
281f5073 PM |
133 | } |
134 | ||
135 | return retval; | |
136 | } | |
01ee3870 PM |
137 | |
138 | declare_mgen_alias (__ccosh, ccosh); |