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01ee3870 1/* Return arc hyperbolic cosine for a complex type.
6d7e8eda 2 Copyright (C) 1997-2023 Free Software Foundation, Inc.
281f5073 3 This file is part of the GNU C Library.
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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/>. */
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18
19#include <complex.h>
20#include <math.h>
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21
22
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23CFLOAT
24M_DECL_FUNC (__cacosh) (CFLOAT x)
281f5073 25{
01ee3870 26 CFLOAT res;
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27 int rcls = fpclassify (__real__ x);
28 int icls = fpclassify (__imag__ x);
29
30 if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
31 {
32 if (icls == FP_INFINITE)
33 {
01ee3870 34 __real__ res = M_HUGE_VAL;
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35
36 if (rcls == FP_NAN)
01ee3870 37 __imag__ res = M_NAN;
281f5073 38 else
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39 __imag__ res = M_COPYSIGN ((rcls == FP_INFINITE
40 ? (__real__ x < 0
41 ? M_MLIT (M_PI) - M_MLIT (M_PI_4)
42 : M_MLIT (M_PI_4))
43 : M_MLIT (M_PI_2)), __imag__ x);
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44 }
45 else if (rcls == FP_INFINITE)
46 {
01ee3870 47 __real__ res = M_HUGE_VAL;
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48
49 if (icls >= FP_ZERO)
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50 __imag__ res = M_COPYSIGN (signbit (__real__ x)
51 ? M_MLIT (M_PI) : 0, __imag__ x);
281f5073 52 else
01ee3870 53 __imag__ res = M_NAN;
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54 }
55 else
56 {
01ee3870 57 __real__ res = M_NAN;
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58 if (rcls == FP_ZERO)
59 __imag__ res = M_MLIT (M_PI_2);
60 else
61 __imag__ res = M_NAN;
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62 }
63 }
64 else if (rcls == FP_ZERO && icls == FP_ZERO)
65 {
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66 __real__ res = 0;
67 __imag__ res = M_COPYSIGN (M_MLIT (M_PI_2), __imag__ x);
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68 }
69 else
70 {
01ee3870 71 CFLOAT y;
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72
73 __real__ y = -__imag__ x;
74 __imag__ y = __real__ x;
75
01ee3870 76 y = M_SUF (__kernel_casinh) (y, 1);
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77
78 if (signbit (__imag__ x))
79 {
80 __real__ res = __real__ y;
81 __imag__ res = -__imag__ y;
82 }
83 else
84 {
85 __real__ res = -__real__ y;
86 __imag__ res = __imag__ y;
87 }
88 }
89
90 return res;
91}
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92
93declare_mgen_alias (__cacosh, cacosh)