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111 lines
3.0 KiB
C
111 lines
3.0 KiB
C
/* Return arc hyperbole sine for long double value.
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Copyright (C) 1997-2013 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<http://www.gnu.org/licenses/>. */
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#include <complex.h>
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#include <math.h>
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#include <math_private.h>
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#include <float.h>
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/* To avoid spurious overflows, use this definition to treat IBM long
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double as approximating an IEEE-style format. */
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#if LDBL_MANT_DIG == 106
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# undef LDBL_EPSILON
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# define LDBL_EPSILON 0x1p-106L
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#endif
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__complex__ long double
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__casinhl (__complex__ long double x)
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{
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__complex__ long double res;
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int rcls = fpclassify (__real__ x);
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int icls = fpclassify (__imag__ x);
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if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
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{
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if (icls == FP_INFINITE)
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{
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__real__ res = __copysignl (HUGE_VALL, __real__ x);
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if (rcls == FP_NAN)
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__imag__ res = __nanl ("");
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else
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__imag__ res = __copysignl (rcls >= FP_ZERO ? M_PI_2l : M_PI_4l,
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__imag__ x);
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}
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else if (rcls <= FP_INFINITE)
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{
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__real__ res = __real__ x;
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if ((rcls == FP_INFINITE && icls >= FP_ZERO)
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|| (rcls == FP_NAN && icls == FP_ZERO))
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__imag__ res = __copysignl (0.0, __imag__ x);
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else
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__imag__ res = __nanl ("");
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}
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else
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{
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__real__ res = __nanl ("");
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__imag__ res = __nanl ("");
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}
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}
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else if (rcls == FP_ZERO && icls == FP_ZERO)
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{
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res = x;
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}
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else
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{
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long double rx, ix;
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__complex__ long double y;
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/* Avoid cancellation by reducing to the first quadrant. */
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rx = fabsl (__real__ x);
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ix = fabsl (__imag__ x);
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if (rx >= 1.0L / LDBL_EPSILON || ix >= 1.0L / LDBL_EPSILON)
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{
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/* For large x in the first quadrant, x + csqrt (1 + x * x)
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is sufficiently close to 2 * x to make no significant
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difference to the result; avoid possible overflow from
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the squaring and addition. */
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__real__ y = rx;
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__imag__ y = ix;
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res = __clogl (y);
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__real__ res += M_LN2l;
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}
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else
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{
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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y = __csqrtl (y);
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__real__ y += rx;
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__imag__ y += ix;
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res = __clogl (y);
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}
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/* Give results the correct sign for the original argument. */
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__real__ res = __copysignl (__real__ res, __real__ x);
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__imag__ res = __copysignl (__imag__ res, __imag__ x);
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}
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return res;
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}
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weak_alias (__casinhl, casinhl)
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