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+/*
+ This Software is provided under the Zope Public License (ZPL) Version 2.1.
+
+ Copyright (c) 2009, 2010 by the mingw-w64 project
+
+ See the AUTHORS file for the list of contributors to the mingw-w64 project.
+
+ This license has been certified as open source. It has also been designated
+ as GPL compatible by the Free Software Foundation (FSF).
+
+ Redistribution and use in source and binary forms, with or without
+ modification, are permitted provided that the following conditions are met:
+
+ 1. Redistributions in source code must retain the accompanying copyright
+ notice, this list of conditions, and the following disclaimer.
+ 2. Redistributions in binary form must reproduce the accompanying
+ copyright notice, this list of conditions, and the following disclaimer
+ in the documentation and/or other materials provided with the
+ distribution.
+ 3. Names of the copyright holders must not be used to endorse or promote
+ products derived from this software without prior written permission
+ from the copyright holders.
+ 4. The right to distribute this software or to use it for any purpose does
+ not give you the right to use Servicemarks (sm) or Trademarks (tm) of
+ the copyright holders. Use of them is covered by separate agreement
+ with the copyright holders.
+ 5. If any files are modified, you must cause the modified files to carry
+ prominent notices stating that you changed the files and the date of
+ any change.
+
+ Disclaimer
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED
+ OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
+ EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY DIRECT, INDIRECT,
+ INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
+ OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
+ EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+__FLT_TYPE __complex__ __cdecl
+__FLT_ABI(csqrt) (__FLT_TYPE __complex__ z)
+{
+ __complex__ __FLT_TYPE ret;
+ __FLT_TYPE d, r, s;
+ int r_class = fpclassify (__real__ z);
+ int i_class = fpclassify (__imag__ z);
+
+ if (r_class == FP_INFINITE || r_class == FP_NAN || i_class == FP_INFINITE || i_class == FP_NAN)
+ {
+ if (i_class == FP_INFINITE)
+ {
+ __real__ ret = __FLT_HUGE_VAL;
+ __imag__ ret = __imag__ z;
+ return ret;
+ }
+
+ if (r_class == FP_INFINITE)
+ {
+ if (__real__ z < __FLT_CST(0.0))
+ {
+ __real__ ret = i_class == FP_NAN ? __FLT_NAN : __FLT_CST(0.0);
+ __imag__ ret = __FLT_ABI(copysign) (__FLT_HUGE_VAL, __imag__ z);
+ return ret;
+ }
+
+ __real__ ret = __real__ z;
+ __imag__ ret = (i_class == FP_NAN
+ ? __FLT_NAN : __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z));
+ return ret;
+ }
+
+ __real__ ret = __FLT_NAN;
+ __imag__ ret = __FLT_NAN;
+ return ret;
+ }
+
+ if (i_class == FP_ZERO)
+ {
+ if (__real__ z < __FLT_CST(0.0))
+ {
+ __real__ ret = __FLT_CST(0.0);
+ __imag__ ret = __FLT_ABI(copysign) (__FLT_ABI(sqrt) (-__real__ z), __imag__ z);
+ }
+ else
+ {
+ __real__ ret = __FLT_ABI(fabs) (__FLT_ABI(sqrt) (__real__ z));
+ __imag__ ret = __FLT_ABI(copysign) (__FLT_CST(0.0), __imag__ z);
+ }
+ return ret;
+ }
+
+ if (r_class == FP_ZERO)
+ {
+ r = __FLT_ABI(sqrt) (__FLT_CST(0.5) * __FLT_ABI(fabs) (__imag__ z));
+
+ __real__ ret = r;
+ __imag__ ret = __FLT_ABI(copysign) (r, __imag__ z);
+ return ret;
+ }
+
+ d = __FLT_ABI(hypot) (__real__ z, __imag__ z);
+ if (__real__ z > __FLT_CST(0.0))
+ {
+ r = __FLT_ABI(sqrt) (__FLT_CST(0.5) * d + __FLT_CST(0.5) * __real__ z);
+ s = (__FLT_CST(0.5) * __imag__ z) / r;
+ }
+ else
+ {
+ s = __FLT_ABI(sqrt) (__FLT_CST(0.5) * d - __FLT_CST(0.5) * __real__ z);
+ r = __FLT_ABI(fabs) ((__FLT_CST(0.5) * __imag__ z) / s);
+ }
+
+ __real__ ret = r;
+ __imag__ ret = __FLT_ABI(copysign) (s, __imag__ z);
+
+ return ret;
+}