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b7a674ec37
Infinite real returns a signed zero imaginary, with the sign matching what the sign of sin (2 * __imag__ z) would be. mingw-w64-crt/ChangeLog: 2010-07-05 Doug Semler <dougsemler@gmail.com> * complex/complex_internal.h: Add defines for ABI epsilon values. * complex/ctanh.def.h (ctanh): Return signed zero matching the sign of sin(2 * __imag__ z). git-svn-id: svn+ssh://svn.code.sf.net/p/mingw-w64/code/trunk@2778 4407c894-4637-0410-b4f5-ada5f102cad1
95 lines
3.6 KiB
C
95 lines
3.6 KiB
C
/*
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This Software is provided under the Zope Public License (ZPL) Version 2.1.
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Copyright (c) 2009, 2010 by the mingw-w64 project
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See the AUTHORS file for the list of contributors to the mingw-w64 project.
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This license has been certified as open source. It has also been designated
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as GPL compatible by the Free Software Foundation (FSF).
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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1. Redistributions in source code must retain the accompanying copyright
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notice, this list of conditions, and the following disclaimer.
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2. Redistributions in binary form must reproduce the accompanying
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copyright notice, this list of conditions, and the following disclaimer
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in the documentation and/or other materials provided with the
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distribution.
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3. Names of the copyright holders must not be used to endorse or promote
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products derived from this software without prior written permission
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from the copyright holders.
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4. The right to distribute this software or to use it for any purpose does
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not give you the right to use Servicemarks (sm) or Trademarks (tm) of
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the copyright holders. Use of them is covered by separate agreement
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with the copyright holders.
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5. If any files are modified, you must cause the modified files to carry
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prominent notices stating that you changed the files and the date of
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any change.
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Disclaimer
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED
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OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
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EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT,
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INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
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OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
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EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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__FLT_TYPE __complex__ __cdecl
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__FLT_ABI(ctanh) (__FLT_TYPE __complex__ z)
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{
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__complex__ __FLT_TYPE ret;
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__FLT_TYPE s, c, d;
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if (!isfinite (__real__ z) || !isfinite (__imag__ z))
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{
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if (isinf (__real__ z))
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{
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__real__ ret = __FLT_ABI(copysign) (__FLT_CST(1.0), __real__ z);
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/* fmod will return NaN if __imag__ z is infinity. This is actually
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OK, because imaginary infinity returns a + or - zero (unspecified).
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For +x, sin (x) is negative if fmod (x, 2pi) > pi.
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For -x, sin (x) is positive if fmod (x, 2pi) < pi.
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We use epsilon to ensure that the zeros are detected properly with
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float and long double comparisons. */
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s = __FLT_ABI(fmod) (__imag__ z, __FLT_PI);
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if (signbit (__imag__ z))
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__imag__ ret = s + __FLT_PI_2 < -__FLT_EPSILON ? 0.0 : -0.0;
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else
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__imag__ ret = s - __FLT_PI_2 > __FLT_EPSILON ? -0.0 : 0.0;
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return ret;
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}
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if (__imag__ z == __FLT_CST(0.0))
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return z;
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__real__ ret = __FLT_NAN;
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__imag__ ret = __FLT_NAN;
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return ret;
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}
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__FLT_ABI(sincos) (__FLT_CST(2.0) * __imag__ z, &s, &c);
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d = (__FLT_ABI(cosh) (__FLT_CST(2.0) * __real__ z) + c);
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if (d == __FLT_CST(0.0))
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{
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__complex__ __FLT_TYPE ez = __FLT_ABI(cexp) (z);
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__complex__ __FLT_TYPE emz = __FLT_ABI(cexp) (-z);
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return (ez - emz) / (ez + emz);
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}
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__real__ ret = __FLT_ABI(sinh) (__FLT_CST(2.0) * __real__ z) / d;
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__imag__ ret = s / d;
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return ret;
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}
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