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63551311 1/* Complex tangent function for double.
7edb55ce 2 Copyright (C) 1997, 2005, 2011 Free Software Foundation, Inc.
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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
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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.
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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
41bdb6e2 14 Lesser General Public License for more details.
63551311 15
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16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, write to the Free
18 Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
19 02111-1307 USA. */
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20
21#include <complex.h>
04be94a8 22#include <fenv.h>
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23#include <math.h>
24
9277c064 25#include <math_private.h>
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26
27
28__complex__ double
29__ctan (__complex__ double x)
30{
31 __complex__ double res;
32
bc62c2fb 33 if (__builtin_expect (!isfinite (__real__ x) || !isfinite (__imag__ x), 0))
63551311 34 {
7edb55ce 35 if (__isinf_ns (__imag__ x))
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36 {
37 __real__ res = __copysign (0.0, __real__ x);
38 __imag__ res = __copysign (1.0, __imag__ x);
39 }
40 else if (__real__ x == 0.0)
41 {
42 res = x;
43 }
44 else
45 {
46 __real__ res = __nan ("");
47 __imag__ res = __nan ("");
04be94a8 48
7edb55ce 49 if (__isinf_ns (__real__ x))
04be94a8 50 feraiseexcept (FE_INVALID);
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51 }
52 }
53 else
54 {
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55 double sin2rx, cos2rx;
56 double den;
63551311 57
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58 __sincos (2.0 * __real__ x, &sin2rx, &cos2rx);
59
60 den = cos2rx + __ieee754_cosh (2.0 * __imag__ x);
61
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62 if (den == 0.0)
63 {
64 __complex__ double ez = __cexp (1.0i * x);
65 __complex__ double emz = __cexp (-1.0i * x);
66
67 res = (ez - emz) / (ez + emz) * -1.0i;
68 }
69 else
70 {
71 __real__ res = sin2rx / den;
72 __imag__ res = __ieee754_sinh (2.0 * __imag__ x) / den;
73 }
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74 }
75
76 return res;
77}
78weak_alias (__ctan, ctan)
79#ifdef NO_LONG_DOUBLE
80strong_alias (__ctan, __ctanl)
81weak_alias (__ctan, ctanl)
82#endif