#ifndef Py_PYMATH_H

#define Py_PYMATH_H

#include "pyconfig.h" /* include for defines */

#ifdef HAVE_STDINT_H

#include <stdint.h>

#endif

/**************************************************************************

Symbols and macros to supply platform-independent interfaces to mathematical

functions and constants

**************************************************************************/

/* Python provides implementations for copysign, acosh, asinh, atanh, 

 * log1p and hypot in Python/pymath.c just in case your math library doesn't

 * provide the functions.

 *

 *Note: PC/pyconfig.h defines copysign as _copysign

 */

#ifndef HAVE_COPYSIGN

extern double copysign(double, double);

#endif

#ifndef HAVE_ACOSH

extern double acosh(double);

#endif

#ifndef HAVE_ASINH

extern double asinh(double);

#endif

#ifndef HAVE_ATANH

extern double atanh(double);

#endif

#ifndef HAVE_LOG1P

extern double log1p(double);

#endif

#ifndef HAVE_HYPOT

extern double hypot(double, double);

#endif

/* extra declarations */

#ifndef _MSC_VER

#ifndef __STDC__

extern double fmod (double, double);

extern double frexp (double, int *);

extern double ldexp (double, int);

extern double modf (double, double *);

extern double pow(double, double);

#endif /* __STDC__ */

#endif /* _MSC_VER */

#ifdef _OSF_SOURCE

/* OSF1 5.1 doesn't make these available with XOPEN_SOURCE_EXTENDED defined */

extern int finite(double);

extern double copysign(double, double);

#endif

/* High precision defintion of pi and e (Euler)

 * The values are taken from libc6's math.h.

 */

#ifndef Py_MATH_PIl

#define Py_MATH_PIl 3.1415926535897932384626433832795029L

#endif

#ifndef Py_MATH_PI

#define Py_MATH_PI 3.14159265358979323846

#endif

#ifndef Py_MATH_El

#define Py_MATH_El 2.7182818284590452353602874713526625L

#endif

#ifndef Py_MATH_E

#define Py_MATH_E 2.7182818284590452354

#endif

/* Py_IS_NAN(X)

 * Return 1 if float or double arg is a NaN, else 0.

 * Caution:

 *     X is evaluated more than once.

 *     This may not work on all platforms.  Each platform has *some*

 *     way to spell this, though -- override in pyconfig.h if you have

 *     a platform where it doesn't work.

 * Note: PC/pyconfig.h defines Py_IS_NAN as _isnan

 */

#ifndef Py_IS_NAN

#ifdef HAVE_ISNAN

#define Py_IS_NAN(X) isnan(X)

#else

#define Py_IS_NAN(X) ((X) != (X))

#endif

#endif

/* Py_IS_INFINITY(X)

 * Return 1 if float or double arg is an infinity, else 0.

 * Caution:

 *    X is evaluated more than once.

 *    This implementation may set the underflow flag if |X| is very small;

 *    it really can't be implemented correctly (& easily) before C99.

 *    Override in pyconfig.h if you have a better spelling on your platform.

 * Note: PC/pyconfig.h defines Py_IS_INFINITY as _isinf

 */

#ifndef Py_IS_INFINITY

#ifdef HAVE_ISINF

#define Py_IS_INFINITY(X) isinf(X)

#else

#define Py_IS_INFINITY(X) ((X) && (X)*0.5 == (X))

#endif

#endif

/* Py_IS_FINITE(X)

 * Return 1 if float or double arg is neither infinite nor NAN, else 0.

 * Some compilers (e.g. VisualStudio) have intrisics for this, so a special

 * macro for this particular test is useful

 * Note: PC/pyconfig.h defines Py_IS_FINITE as _finite

 */

#ifndef Py_IS_FINITE

#ifdef HAVE_FINITE

#define Py_IS_FINITE(X) finite(X)

#else

#define Py_IS_FINITE(X) (!Py_IS_INFINITY(X) && !Py_IS_NAN(X))

#endif

#endif

/* HUGE_VAL is supposed to expand to a positive double infinity.  Python

 * uses Py_HUGE_VAL instead because some platforms are broken in this

 * respect.  We used to embed code in pyport.h to try to worm around that,

 * but different platforms are broken in conflicting ways.  If you're on

 * a platform where HUGE_VAL is defined incorrectly, fiddle your Python

 * config to #define Py_HUGE_VAL to something that works on your platform.

 */

#ifndef Py_HUGE_VAL

#define Py_HUGE_VAL HUGE_VAL

#endif

/* Py_NAN

 * A value that evaluates to a NaN. On IEEE 754 platforms INF*0 or

 * INF/INF works. Define Py_NO_NAN in pyconfig.h if your platform

 * doesn't support NaNs.

 */

#if !defined(Py_NAN) && !defined(Py_NO_NAN)

#define Py_NAN (Py_HUGE_VAL * 0.)

#endif

/* Py_OVERFLOWED(X)

 * Return 1 iff a libm function overflowed.  Set errno to 0 before calling

 * a libm function, and invoke this macro after, passing the function

 * result.

 * Caution:

 *    This isn't reliable.  C99 no longer requires libm to set errno under

 *	  any exceptional condition, but does require +- HUGE_VAL return

 *	  values on overflow.  A 754 box *probably* maps HUGE_VAL to a

 *	  double infinity, and we're cool if that's so, unless the input

 *	  was an infinity and an infinity is the expected result.  A C89

 *	  system sets errno to ERANGE, so we check for that too.  We're

 *	  out of luck if a C99 754 box doesn't map HUGE_VAL to +Inf, or

 *	  if the returned result is a NaN, or if a C89 box returns HUGE_VAL

 *	  in non-overflow cases.

 *    X is evaluated more than once.

 * Some platforms have better way to spell this, so expect some #ifdef'ery.

 *

 * OpenBSD uses 'isinf()' because a compiler bug on that platform causes

 * the longer macro version to be mis-compiled. This isn't optimal, and

 * should be removed once a newer compiler is available on that platform.

 * The system that had the failure was running OpenBSD 3.2 on Intel, with

 * gcc 2.95.3.

 *

 * According to Tim's checkin, the FreeBSD systems use isinf() to work

 * around a FPE bug on that platform.

 */

#if defined(__FreeBSD__) || defined(__OpenBSD__)

#define Py_OVERFLOWED(X) isinf(X)

#else

#define Py_OVERFLOWED(X) ((X) != 0.0 && (errno == ERANGE ||    \

					 (X) == Py_HUGE_VAL || \

					 (X) == -Py_HUGE_VAL))

#endif

#endif /* Py_PYMATH_H */