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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.
+*/
+
+#ifdef __CYGWIN__
+/* Disable __IMPORT when defining __fdlib_version. */
+#define _COMPILING_NEWLIB
+#define _GNU_SOURCE
+#endif
+#include <math.h>
+#include <complex.h>
+
+/* Define some PI constants for long double, as they are not defined in math.h */
+#ifndef M_PI_4l
+#define M_PI_4l 0.7853981633974483096156608458198757L
+#define M_PI_2l 1.5707963267948966192313216916397514L
+#define M_PIl 3.1415926535897932384626433832795029L
+#endif
+
+/* NAN builtins for gcc, as they are not part of math.h */
+#ifndef NANF
+#define NANF __builtin_nanf ("")
+#endif
+#ifndef NANL
+#define NANL __builtin_nanl ("")
+#endif
+
+/* Some more helpers. */
+#define M_PI_3_4 (M_PI - M_PI_4)
+#define M_PI_3_4l (M_PIl - M_PI_4l)
+
+#if defined(_NEW_COMPLEX_FLOAT)
+# define __FLT_TYPE float
+# define __FLT_ABI(N) N##f
+# define __FLT_CST(N) N##F
+# define __FLT_EPSILON __FLT_EPSILON__
+# define __FLT_NAN NANF
+# define __FLT_HUGE_VAL HUGE_VALF
+# define __FLT_PI M_PI
+# define __FLT_PI_2 M_PI_2
+# define __FLT_PI_4 M_PI_4
+# define __FLT_PI_3_4 M_PI_3_4
+# define __FLT_MAXLOG 88.72283905206835F
+# define __FLT_MINLOG -103.278929903431851103F
+# define __FLT_LOGE2 0.693147180559945309F
+# define __FLT_LOG10E 0.434294481903251828F
+# define __FLT_REPORT(NAME) NAME "f"
+#elif defined(_NEW_COMPLEX_DOUBLE)
+# define __FLT_TYPE double
+# define __FLT_ABI(N) N
+# define __FLT_EPSILON __DBL_EPSILON__
+# define __FLT_CST(N) N
+# define __FLT_NAN NAN
+# define __FLT_HUGE_VAL HUGE_VAL
+# define __FLT_PI M_PI
+# define __FLT_PI_2 M_PI_2
+# define __FLT_PI_4 M_PI_4
+# define __FLT_PI_3_4 M_PI_3_4
+# define __FLT_MAXLOG 7.09782712893383996843E2
+# define __FLT_MINLOG -7.45133219101941108420E2
+# define __FLT_LOGE2 6.93147180559945309417E-1
+# define __FLT_LOG10E 4.34294481903251827651E-1
+# define __FLT_REPORT(NAME) NAME
+#elif defined(_NEW_COMPLEX_LDOUBLE)
+# define __FLT_TYPE long double
+# define __FLT_ABI(N) N##l
+# define __FLT_CST(N) N##L
+# define __FLT_EPSILON __LDBL_EPSILON__
+# define __FLT_NAN NANL
+# define __FLT_HUGE_VAL HUGE_VALL
+# define __FLT_PI M_PIl
+# define __FLT_PI_2 M_PI_2l
+# define __FLT_PI_4 M_PI_4l
+# define __FLT_PI_3_4 M_PI_3_4l
+# define __FLT_MAXLOG 1.1356523406294143949492E4L
+# define __FLT_MINLOG -1.1355137111933024058873E4L
+# define __FLT_LOGE2 6.9314718055994530941723E-1L
+# define __FLT_LOG10E 4.3429448190325182765113E-1L
+# define __FLT_REPORT(NAME) NAME "l"
+#else
+# error "Unknown complex number type"
+#endif
+
+#define __FLT_RPT_DOMAIN(NAME, ARG1, ARG2, RSLT) \
+ errno = EDOM, \
+ __mingw_raise_matherr (_DOMAIN, __FLT_REPORT(NAME), (double) (ARG1), \
+ (double) (ARG2), (double) (RSLT))
+#define __FLT_RPT_ERANGE(NAME, ARG1, ARG2, RSLT, OVL) \
+ errno = ERANGE, \
+ __mingw_raise_matherr (((OVL) ? _OVERFLOW : _UNDERFLOW), \
+ __FLT_REPORT(NAME), (double) (ARG1), \
+ (double) (ARG2), (double) (RSLT))
+
+#ifdef __CYGWIN__
+inline void __attribute__ ((always_inline))
+__mingw_raise_matherr (int typ, const char *name, double a1, double a2,
+ double rslt)
+{
+ if (_LIB_VERSION != _POSIX_)
+ {
+ struct exception ex;
+ ex.type = typ;
+ ex.name = (char*)name;
+ ex.arg1 = a1;
+ ex.arg2 = a2;
+ ex.retval = rslt;
+ matherr(&ex);
+ }
+}
+#define _DOMAIN DOMAIN
+#define _OVERFLOW OVERFLOW
+#define _UNDERFLOW UNDERFLOW
+#endif