#ifndef Py_PYMATH_H

#define Py_PYMATH_H

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

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

Symbols and macros to supply platform-independent interfaces to mathematical

functions and constants

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

/* Python provides implementations for copysign, round 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_ROUND

extern double round(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 */

/* 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

/* On x86, Py_FORCE_DOUBLE forces a floating-point number out of an x87 FPU

register and into a 64-bit memory location, rounding from extended

precision to double precision in the process. On other platforms it does

nothing. */

/* we take double rounding as evidence of x87 usage */

#ifndef Py_LIMITED_API

#ifndef Py_FORCE_DOUBLE

# ifdef X87_DOUBLE_ROUNDING

PyAPI_FUNC(double) _Py_force_double(double);

# define Py_FORCE_DOUBLE(X) (_Py_force_double(X))

# else

# define Py_FORCE_DOUBLE(X) (X)

# endif

#endif

#endif

#ifndef Py_LIMITED_API

#ifdef HAVE_GCC_ASM_FOR_X87

PyAPI_FUNC(unsigned short) _Py_get_387controlword(void);

PyAPI_FUNC(void) _Py_set_387controlword(unsigned short);

#endif

#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

#if defined HAVE_DECL_ISNAN && HAVE_DECL_ISNAN == 1

#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.

* Py_FORCE_DOUBLE is used to avoid getting false negatives from a

* non-infinite value v sitting in an 80-bit x87 register such that

* v becomes infinite when spilled from the register to 64-bit memory.

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

*/

#ifndef Py_IS_INFINITY

# if defined HAVE_DECL_ISINF && HAVE_DECL_ISINF == 1

# define Py_IS_INFINITY(X) isinf(X)

# else

# define Py_IS_INFINITY(X) ((X) && \

(Py_FORCE_DOUBLE(X)*0.5 == Py_FORCE_DOUBLE(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

#if defined HAVE_DECL_ISFINITE && HAVE_DECL_ISFINITE == 1

#define Py_IS_FINITE(X) isfinite(X)

#elif defined 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)

#if !defined(__INTEL_COMPILER)

#define Py_NAN (Py_HUGE_VAL * 0.)

#else /* __INTEL_COMPILER */

#if defined(ICC_NAN_STRICT)

#pragma float_control(push)

#pragma float_control(precise, on)

#pragma float_control(except, on)

#if defined(_MSC_VER)

__declspec(noinline)

#else /* Linux */

__attribute__((noinline))

#endif /* _MSC_VER */

static double __icc_nan()

{

return sqrt(-1.0);

}

#pragma float_control (pop)

#define Py_NAN __icc_nan()

#else /* ICC_NAN_RELAXED as default for Intel Compiler */

static const union { unsigned char buf[8]; double __icc_nan; } __nan_store = {0,0,0,0,0,0,0xf8,0x7f};

#define Py_NAN (__nan_store.__icc_nan)

#endif /* ICC_NAN_STRICT */

#endif /* __INTEL_COMPILER */

#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 */