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Improve the accuracy of tgamma (BZ #26983)
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1 /* Return arc hyperbolic sine for a complex float type.
2 Copyright (C) 1997-2021 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 <https://www.gnu.org/licenses/>. */
19
20 #include <complex.h>
21 #include <math.h>
22
23 CFLOAT
24 M_DECL_FUNC (__casinh) (CFLOAT x)
25 {
26 CFLOAT res;
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 {
34 __real__ res = M_COPYSIGN (M_HUGE_VAL, __real__ x);
35
36 if (rcls == FP_NAN)
37 __imag__ res = M_NAN;
38 else
39 __imag__ res = M_COPYSIGN ((rcls >= FP_ZERO
40 ? M_MLIT (M_PI_2) : M_MLIT (M_PI_4)),
41 __imag__ x);
42 }
43 else if (rcls <= FP_INFINITE)
44 {
45 __real__ res = __real__ x;
46 if ((rcls == FP_INFINITE && icls >= FP_ZERO)
47 || (rcls == FP_NAN && icls == FP_ZERO))
48 __imag__ res = M_COPYSIGN (0, __imag__ x);
49 else
50 __imag__ res = M_NAN;
51 }
52 else
53 {
54 __real__ res = M_NAN;
55 __imag__ res = M_NAN;
56 }
57 }
58 else if (rcls == FP_ZERO && icls == FP_ZERO)
59 {
60 res = x;
61 }
62 else
63 {
64 res = M_SUF (__kernel_casinh) (x, 0);
65 }
66
67 return res;
68 }
69
70 declare_mgen_alias (__casinh, casinh)