| 1 | /* Return arc hyperbole tangent for double value.
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| 2 | Copyright (C) 1997 Free Software Foundation, Inc.
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| 3 | This file is part of the GNU C Library.
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| 4 | Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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| 5 |
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| 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
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| 8 | License as published by the Free Software Foundation; either
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| 9 | version 2.1 of the License, or (at your option) any later version.
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| 10 |
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| 11 | The GNU C Library is distributed in the hope that it will be useful,
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| 12 | but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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| 14 | Lesser General Public License for more details.
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| 15 |
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| 16 | You should have received a copy of the GNU Lesser General Public
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| 17 | License along with the GNU C Library; if not, write to the Free
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| 18 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
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| 19 | 02111-1307 USA. */
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| 20 |
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| 21 | #include <complex.h>
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| 22 | #include <math.h>
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| 23 |
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| 24 | #include "math_private.h"
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| 25 |
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| 26 |
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| 27 | __complex__ double
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| 28 | __catanh (__complex__ double x)
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| 29 | {
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| 30 | __complex__ double res;
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| 31 | int rcls = fpclassify (__real__ x);
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| 32 | int icls = fpclassify (__imag__ x);
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| 33 |
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| 34 | if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
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| 35 | {
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| 36 | if (icls == FP_INFINITE)
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| 37 | {
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| 38 | __real__ res = __copysign (0.0, __real__ x);
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| 39 | __imag__ res = __copysign (M_PI_2, __imag__ x);
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| 40 | }
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| 41 | else if (rcls == FP_INFINITE || rcls == FP_ZERO)
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| 42 | {
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| 43 | __real__ res = __copysign (0.0, __real__ x);
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| 44 | if (icls >= FP_ZERO)
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| 45 | __imag__ res = __copysign (M_PI_2, __imag__ x);
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| 46 | else
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| 47 | __imag__ res = __nan ("");
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| 48 | }
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| 49 | else
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| 50 | {
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| 51 | __real__ res = __nan ("");
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| 52 | __imag__ res = __nan ("");
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| 53 | }
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| 54 | }
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| 55 | else if (rcls == FP_ZERO && icls == FP_ZERO)
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| 56 | {
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| 57 | res = x;
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| 58 | }
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| 59 | else
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| 60 | {
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| 61 | double i2, num, den;
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| 62 |
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| 63 | i2 = __imag__ x * __imag__ x;
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| 64 |
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| 65 | num = 1.0 + __real__ x;
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| 66 | num = i2 + num * num;
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| 67 |
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| 68 | den = 1.0 - __real__ x;
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| 69 | den = i2 + den * den;
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| 70 |
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| 71 | __real__ res = 0.25 * (__ieee754_log (num) - __ieee754_log (den));
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| 72 |
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| 73 | den = 1 - __real__ x * __real__ x - i2;
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| 74 |
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| 75 | __imag__ res = 0.5 * __ieee754_atan2 (2.0 * __imag__ x, den);
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| 76 | }
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| 77 |
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| 78 | return res;
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| 79 | }
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| 80 | weak_alias (__catanh, catanh)
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| 81 | #ifdef NO_LONG_DOUBLE
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| 82 | strong_alias (__catanh, __catanhl)
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| 83 | weak_alias (__catanh, catanhl)
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| 84 | #endif
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