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63551311 1/* Complex tangent function for double.
3b6c37d4 2 Copyright (C) 1997, 2005 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
25#include "math_private.h"
26
27
28__complex__ double
29__ctan (__complex__ double x)
30{
31 __complex__ double res;
32
b4012b75 33 if (!isfinite (__real__ x) || !isfinite (__imag__ x))
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34 {
35 if (__isinf (__imag__ x))
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 ("");
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48
49#ifdef FE_INVALID
50 if (__isinf (__real__ x))
51 feraiseexcept (FE_INVALID);
52#endif
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53 }
54 }
55 else
56 {
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57 double sin2rx, cos2rx;
58 double den;
63551311 59
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60 __sincos (2.0 * __real__ x, &sin2rx, &cos2rx);
61
62 den = cos2rx + __ieee754_cosh (2.0 * __imag__ x);
63
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64 if (den == 0.0)
65 {
66 __complex__ double ez = __cexp (1.0i * x);
67 __complex__ double emz = __cexp (-1.0i * x);
68
69 res = (ez - emz) / (ez + emz) * -1.0i;
70 }
71 else
72 {
73 __real__ res = sin2rx / den;
74 __imag__ res = __ieee754_sinh (2.0 * __imag__ x) / den;
75 }
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76 }
77
78 return res;
79}
80weak_alias (__ctan, ctan)
81#ifdef NO_LONG_DOUBLE
82strong_alias (__ctan, __ctanl)
83weak_alias (__ctan, ctanl)
84#endif