121 lines
4.2 KiB
C
121 lines
4.2 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(casinh) (__FLT_TYPE __complex__ z)
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{
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__complex__ __FLT_TYPE ret;
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__complex__ __FLT_TYPE x;
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int r_class = fpclassify (__real__ z);
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int i_class = fpclassify (__imag__ z);
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if (i_class == FP_INFINITE)
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{
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__real__ ret = __FLT_ABI(copysign) (__FLT_HUGE_VAL, __real__ z);
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__imag__ ret = (r_class == FP_NAN
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? __FLT_NAN
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: (__FLT_ABI(copysign) ((r_class != FP_NAN && r_class != FP_INFINITE) ? __FLT_PI_2 : __FLT_PI_4, __imag__ z)));
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return ret;
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}
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if (r_class == FP_INFINITE)
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{
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__real__ ret = __real__ z;
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__imag__ ret = (i_class != FP_NAN
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? __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z)
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: __FLT_NAN);
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return ret;
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}
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if (r_class == FP_NAN)
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{
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__real__ ret = __real__ z;
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__imag__ ret = (i_class == FP_ZERO
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? __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z)
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: __FLT_NAN);
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return ret;
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}
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if (i_class == FP_NAN)
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{
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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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if (r_class == FP_ZERO && i_class == FP_ZERO)
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return z;
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/* casinh(z) = log(z + sqrt(z*z + 1)) */
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if (__FLT_ABI(fabs) (__real__ z) >= __FLT_CST(1.0)/__FLT_EPSILON
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|| __FLT_ABI(fabs) (__imag__ z) >= __FLT_CST(1.0)/__FLT_EPSILON)
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{
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/* For large z, z + sqrt(z*z + 1) is approximately 2*z.
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Use that approximation to avoid overflow when squaring.
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Additionally, use symmetries to perform the calculation in the first
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quadrant. */
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__real__ x = __FLT_ABI(fabs) (__real__ z);
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__imag__ x = __FLT_ABI(fabs) (__imag__ z);
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x = __FLT_ABI(clog) (x);
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__real__ x += M_LN2;
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/* adjust signs for input quadrant */
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__real__ ret = __FLT_ABI(copysign) (__real__ x, __real__ z);
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__imag__ ret = __FLT_ABI(copysign) (__imag__ x, __imag__ z);
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return ret;
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}
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__real__ x = (__real__ z - __imag__ z) * (__real__ z + __imag__ z) + __FLT_CST(1.0);
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__imag__ x = __FLT_CST(2.0) * __real__ z * __imag__ z;
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x = __FLT_ABI(csqrt) (x);
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__real__ x += __real__ z;
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__imag__ x += __imag__ z;
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return __FLT_ABI(clog) (x);
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}
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