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1 /* Return arc hyperbole tangent for __float128 value.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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2 Copyright (C) 1997, 1998 Free Software Foundation, Inc.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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3 This file is part of the GNU C Library.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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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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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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9 version 2.1 of the License, or (at your option) any later version.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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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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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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14 Lesser General Public License for more details.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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15
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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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 "quadmath-imp.h"
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22
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23
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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24 __complex128
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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25 catanhq (__complex128 x)
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26 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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27 __complex128 res;
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28 int rcls = fpclassifyq (__real__ x);
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29 int icls = fpclassifyq (__imag__ x);
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30
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31 if (rcls <= QUADFP_INFINITE || icls <= QUADFP_INFINITE)
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32 {
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33 if (icls == QUADFP_INFINITE)
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34 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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35 __real__ res = copysignq (0.0, __real__ x);
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36 __imag__ res = copysignq (M_PI_2q, __imag__ x);
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37 }
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38 else if (rcls == QUADFP_INFINITE || rcls == QUADFP_ZERO)
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39 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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40 __real__ res = copysignq (0.0, __real__ x);
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41 if (icls >= QUADFP_ZERO)
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42 __imag__ res = copysignq (M_PI_2q, __imag__ x);
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43 else
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44 __imag__ res = nanq ("");
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45 }
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46 else
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47 {
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48 __real__ res = nanq ("");
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49 __imag__ res = nanq ("");
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50 }
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51 }
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52 else if (rcls == QUADFP_ZERO && icls == QUADFP_ZERO)
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53 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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54 res = x;
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55 }
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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56 else
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57 {
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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58 __float128 i2, num, den;
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59
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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60 i2 = __imag__ x * __imag__ x;
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61
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62 num = 1.0 + __real__ x;
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63 num = i2 + num * num;
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64
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65 den = 1.0 - __real__ x;
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66 den = i2 + den * den;
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67
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68 __real__ res = 0.25 * (logq (num) - logq (den));
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69
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70 den = 1 - __real__ x * __real__ x - i2;
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71
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72 __imag__ res = 0.5 * atan2q (2.0 * __imag__ x, den);
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73 }
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74
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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75 return res;
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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76 }
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