android / platform / prebuilts / python / linux-x86 / refs/heads/llvm-r383902b / . / include / python3.8 / pymath.h

#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 definition 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 | |

/* Tau (2pi) to 40 digits, taken from tauday.com/tau-digits. */ | |

#ifndef Py_MATH_TAU | |

#define Py_MATH_TAU 6.2831853071795864769252867665590057683943L | |

#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 | |

/* Return whether integral type *type* is signed or not. */ | |

#define _Py_IntegralTypeSigned(type) ((type)(-1) < 0) | |

/* Return the maximum value of integral type *type*. */ | |

#define _Py_IntegralTypeMax(type) ((_Py_IntegralTypeSigned(type)) ? (((((type)1 << (sizeof(type)*CHAR_BIT - 2)) - 1) << 1) + 1) : ~(type)0) | |

/* Return the minimum value of integral type *type*. */ | |

#define _Py_IntegralTypeMin(type) ((_Py_IntegralTypeSigned(type)) ? -_Py_IntegralTypeMax(type) - 1 : 0) | |

/* Check whether *v* is in the range of integral type *type*. This is most | |

* useful if *v* is floating-point, since demoting a floating-point *v* to an | |

* integral type that cannot represent *v*'s integral part is undefined | |

* behavior. */ | |

#define _Py_InIntegralTypeRange(type, v) (_Py_IntegralTypeMin(type) <= v && v <= _Py_IntegralTypeMax(type)) | |

#endif /* Py_PYMATH_H */ |