#ifndef Py_PYMATH_H #define Py_PYMATH_H #include "pyconfig.h" /* include for defines */ #ifdef HAVE_STDINT_H #include #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 #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. * 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) && (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 */