645 lines
20 KiB
C++
645 lines
20 KiB
C++
/***
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*math.h - definitions and declarations for math library
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*
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* Copyright (c) 1985-2001, Microsoft Corporation. All rights reserved.
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*
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*Purpose:
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* This file contains constant definitions and external subroutine
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* declarations for the math subroutine library.
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* [ANSI/System V]
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*
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* [Public]
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*
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****/
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#if _MSC_VER > 1000
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#pragma once
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#endif
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#ifndef _INC_MATH
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#define _INC_MATH
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#if !defined(_WIN32)
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#error ERROR: Only Win32 target supported!
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#endif
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#ifdef _MSC_VER
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/*
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* Currently, all MS C compilers for Win32 platforms default to 8 byte
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* alignment.
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*/
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#pragma pack(push,8)
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#endif /* _MSC_VER */
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#ifdef __cplusplus
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extern "C" {
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#endif
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#ifndef __assembler /* Protect from assembler */
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/* Define _CRTIMP */
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#ifndef _CRTIMP
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#ifdef _DLL
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#define _CRTIMP __declspec(dllimport)
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#else /* ndef _DLL */
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#define _CRTIMP
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#endif /* _DLL */
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#endif /* _CRTIMP */
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/* Define __cdecl for non-Microsoft compilers */
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#if ( !defined(_MSC_VER) && !defined(__cdecl) )
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#define __cdecl
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#endif
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/* Definition of _exception struct - this struct is passed to the matherr
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* routine when a floating point exception is detected
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*/
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#ifndef _EXCEPTION_DEFINED
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struct _exception {
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int type; /* exception type - see below */
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char *name; /* name of function where error occured */
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double arg1; /* first argument to function */
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double arg2; /* second argument (if any) to function */
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double retval; /* value to be returned by function */
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} ;
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#define _EXCEPTION_DEFINED
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#endif
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/* Definition of a _complex struct to be used by those who use cabs and
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* want type checking on their argument
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*/
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#ifndef _COMPLEX_DEFINED
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struct _complex {
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double x,y; /* real and imaginary parts */
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} ;
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#if !__STDC__ && !defined (__cplusplus)
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/* Non-ANSI name for compatibility */
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#define complex _complex
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#endif
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#define _COMPLEX_DEFINED
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#endif
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#endif /* __assembler */
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/* Constant definitions for the exception type passed in the _exception struct
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*/
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#define _DOMAIN 1 /* argument domain error */
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#define _SING 2 /* argument singularity */
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#define _OVERFLOW 3 /* overflow range error */
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#define _UNDERFLOW 4 /* underflow range error */
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#define _TLOSS 5 /* total loss of precision */
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#define _PLOSS 6 /* partial loss of precision */
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#define EDOM 33
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#define ERANGE 34
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/* Definitions of _HUGE and HUGE_VAL - respectively the XENIX and ANSI names
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* for a value returned in case of error by a number of the floating point
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* math routines
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*/
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#ifndef __assembler /* Protect from assembler */
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_CRTIMP extern double _HUGE;
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#endif /* __assembler */
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#define HUGE_VAL _HUGE
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#ifdef _USE_MATH_DEFINES
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/* Define _USE_MATH_DEFINES before including math.h to expose these macro
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* definitions for common math constants. These are placed under an #ifdef
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* since these commonly-defined names are not part of the C/C++ standards.
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*/
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/* Definitions of useful mathematical constants
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* M_E - e
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* M_LOG2E - log2(e)
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* M_LOG10E - log10(e)
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* M_LN2 - ln(2)
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* M_LN10 - ln(10)
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* M_PI - pi
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* M_PI_2 - pi/2
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* M_PI_4 - pi/4
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* M_1_PI - 1/pi
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* M_2_PI - 2/pi
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* M_2_SQRTPI - 2/sqrt(pi)
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* M_SQRT2 - sqrt(2)
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* M_SQRT1_2 - 1/sqrt(2)
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*/
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#define M_E 2.71828182845904523536
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#define M_LOG2E 1.44269504088896340736
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#define M_LOG10E 0.434294481903251827651
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#define M_LN2 0.693147180559945309417
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#define M_LN10 2.30258509299404568402
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#define M_PI 3.14159265358979323846
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#define M_PI_2 1.57079632679489661923
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#define M_PI_4 0.785398163397448309616
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#define M_1_PI 0.318309886183790671538
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#define M_2_PI 0.636619772367581343076
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#define M_2_SQRTPI 1.12837916709551257390
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#define M_SQRT2 1.41421356237309504880
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#define M_SQRT1_2 0.707106781186547524401
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#endif /* _USE_MATH_DEFINES */
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/* Function prototypes */
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#if !defined(__assembler) /* Protect from assembler */
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#if defined(_M_MRX000)
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_CRTIMP int __cdecl abs(int);
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_CRTIMP double __cdecl acos(double);
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_CRTIMP double __cdecl asin(double);
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_CRTIMP double __cdecl atan(double);
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_CRTIMP double __cdecl atan2(double, double);
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_CRTIMP double __cdecl cos(double);
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_CRTIMP double __cdecl cosh(double);
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_CRTIMP double __cdecl exp(double);
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_CRTIMP double __cdecl fabs(double);
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_CRTIMP double __cdecl fmod(double, double);
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_CRTIMP long __cdecl labs(long);
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_CRTIMP double __cdecl log(double);
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_CRTIMP double __cdecl log10(double);
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_CRTIMP double __cdecl pow(double, double);
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_CRTIMP double __cdecl sin(double);
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_CRTIMP double __cdecl sinh(double);
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_CRTIMP double __cdecl tan(double);
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_CRTIMP double __cdecl tanh(double);
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_CRTIMP double __cdecl sqrt(double);
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#else
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int __cdecl abs(int);
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double __cdecl acos(double);
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double __cdecl asin(double);
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double __cdecl atan(double);
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double __cdecl atan2(double, double);
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double __cdecl cos(double);
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double __cdecl cosh(double);
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double __cdecl exp(double);
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double __cdecl fabs(double);
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double __cdecl fmod(double, double);
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long __cdecl labs(long);
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double __cdecl log(double);
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double __cdecl log10(double);
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double __cdecl pow(double, double);
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double __cdecl sin(double);
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double __cdecl sinh(double);
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double __cdecl tan(double);
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double __cdecl tanh(double);
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double __cdecl sqrt(double);
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#endif
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_CRTIMP double __cdecl atof(const char *);
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_CRTIMP double __cdecl _cabs(struct _complex);
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#if defined(_M_ALPHA)
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double __cdecl ceil(double);
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double __cdecl floor(double);
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#else
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_CRTIMP double __cdecl ceil(double);
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_CRTIMP double __cdecl floor(double);
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#endif
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_CRTIMP double __cdecl frexp(double, int *);
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_CRTIMP double __cdecl _hypot(double, double);
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_CRTIMP double __cdecl _j0(double);
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_CRTIMP double __cdecl _j1(double);
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_CRTIMP double __cdecl _jn(int, double);
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_CRTIMP double __cdecl ldexp(double, int);
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int __cdecl _matherr(struct _exception *);
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_CRTIMP double __cdecl modf(double, double *);
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_CRTIMP double __cdecl _y0(double);
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_CRTIMP double __cdecl _y1(double);
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_CRTIMP double __cdecl _yn(int, double);
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#if defined(_M_IX86)
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_CRTIMP int __cdecl _set_SSE2_enable(int);
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#endif
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#if defined(_M_MRX000)
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/* MIPS fast prototypes for float */
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/* ANSI C, 4.5 Mathematics */
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/* 4.5.2 Trigonometric functions */
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_CRTIMP float __cdecl acosf( float );
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_CRTIMP float __cdecl asinf( float );
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_CRTIMP float __cdecl atanf( float );
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_CRTIMP float __cdecl atan2f( float , float );
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_CRTIMP float __cdecl cosf( float );
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_CRTIMP float __cdecl sinf( float );
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_CRTIMP float __cdecl tanf( float );
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/* 4.5.3 Hyperbolic functions */
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_CRTIMP float __cdecl coshf( float );
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_CRTIMP float __cdecl sinhf( float );
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_CRTIMP float __cdecl tanhf( float );
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/* 4.5.4 Exponential and logarithmic functions */
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_CRTIMP float __cdecl expf( float );
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_CRTIMP float __cdecl logf( float );
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_CRTIMP float __cdecl log10f( float );
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_CRTIMP float __cdecl modff( float , float* );
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/* 4.5.5 Power functions */
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_CRTIMP float __cdecl powf( float , float );
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float __cdecl sqrtf( float );
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/* 4.5.6 Nearest integer, absolute value, and remainder functions */
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float __cdecl ceilf( float );
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float __cdecl fabsf( float );
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float __cdecl floorf( float );
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_CRTIMP float __cdecl fmodf( float , float );
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_CRTIMP float __cdecl hypotf(float, float);
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#endif /* _M_MRX000 */
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#if defined(_M_ALPHA)
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/* ALPHA fast prototypes for float */
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/* ANSI C, 4.5 Mathematics */
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/* 4.5.2 Trigonometric functions */
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float __cdecl acosf( float );
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float __cdecl asinf( float );
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float __cdecl atanf( float );
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float __cdecl atan2f( float , float );
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float __cdecl cosf( float );
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float __cdecl sinf( float );
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float __cdecl tanf( float );
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/* 4.5.3 Hyperbolic functions */
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float __cdecl coshf( float );
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float __cdecl sinhf( float );
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float __cdecl tanhf( float );
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/* 4.5.4 Exponential and logarithmic functions */
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float __cdecl expf( float );
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float __cdecl logf( float );
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float __cdecl log10f( float );
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_CRTIMP float __cdecl modff( float , float* );
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/* 4.5.5 Power functions */
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float __cdecl powf( float , float );
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float __cdecl sqrtf( float );
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/* 4.5.6 Nearest integer, absolute value, and remainder functions */
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float __cdecl ceilf( float );
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float __cdecl fabsf( float );
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float __cdecl floorf( float );
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float __cdecl fmodf( float , float );
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_CRTIMP float __cdecl _hypotf(float, float);
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#endif /* _M_ALPHA */
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#if defined(_M_IA64)
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/* ANSI C, 4.5 Mathematics */
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/* 4.5.2 Trigonometric functions */
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float __cdecl acosf( float );
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float __cdecl asinf( float );
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float __cdecl atanf( float );
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float __cdecl atan2f( float , float );
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float __cdecl cosf( float );
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float __cdecl sinf( float );
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float __cdecl tanf( float );
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/* 4.5.3 Hyperbolic functions */
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float __cdecl coshf( float );
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float __cdecl sinhf( float );
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float __cdecl tanhf( float );
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/* 4.5.4 Exponential and logarithmic functions */
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float __cdecl expf( float );
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float __cdecl logf( float );
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float __cdecl log10f( float );
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float __cdecl modff( float , float* );
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/* 4.5.5 Power functions */
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float __cdecl powf( float , float );
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float __cdecl sqrtf( float );
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/* 4.5.6 Nearest integer, absolute value, and remainder functions */
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float __cdecl ceilf( float );
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float __cdecl fabsf( float );
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float __cdecl floorf( float );
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float __cdecl fmodf( float , float );
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float __cdecl hypotf(float, float);
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#endif /* _M_IA64 */
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/* Macros defining long double functions to be their double counterparts
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* (long double is synonymous with double in this implementation).
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*/
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#ifndef __cplusplus
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#define acosl(x) ((long double)acos((double)(x)))
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#define asinl(x) ((long double)asin((double)(x)))
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#define atanl(x) ((long double)atan((double)(x)))
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#define atan2l(x,y) ((long double)atan2((double)(x), (double)(y)))
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#define _cabsl _cabs
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#define ceill(x) ((long double)ceil((double)(x)))
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#define cosl(x) ((long double)cos((double)(x)))
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#define coshl(x) ((long double)cosh((double)(x)))
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#define expl(x) ((long double)exp((double)(x)))
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#define fabsl(x) ((long double)fabs((double)(x)))
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#define floorl(x) ((long double)floor((double)(x)))
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#define fmodl(x,y) ((long double)fmod((double)(x), (double)(y)))
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#define frexpl(x,y) ((long double)frexp((double)(x), (y)))
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#define _hypotl(x,y) ((long double)_hypot((double)(x), (double)(y)))
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#define ldexpl(x,y) ((long double)ldexp((double)(x), (y)))
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#define logl(x) ((long double)log((double)(x)))
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#define log10l(x) ((long double)log10((double)(x)))
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#define _matherrl _matherr
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#define modfl(x,y) ((long double)modf((double)(x), (double *)(y)))
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#define powl(x,y) ((long double)pow((double)(x), (double)(y)))
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#define sinl(x) ((long double)sin((double)(x)))
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#define sinhl(x) ((long double)sinh((double)(x)))
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#define sqrtl(x) ((long double)sqrt((double)(x)))
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#define tanl(x) ((long double)tan((double)(x)))
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#define tanhl(x) ((long double)tanh((double)(x)))
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#else /* __cplusplus */
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inline long double acosl(long double _X)
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{return (acos((double)_X)); }
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inline long double asinl(long double _X)
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{return (asin((double)_X)); }
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inline long double atanl(long double _X)
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{return (atan((double)_X)); }
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inline long double atan2l(long double _X, long double _Y)
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{return (atan2((double)_X, (double)_Y)); }
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inline long double ceill(long double _X)
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{return (ceil((double)_X)); }
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inline long double cosl(long double _X)
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{return (cos((double)_X)); }
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inline long double coshl(long double _X)
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{return (cosh((double)_X)); }
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inline long double expl(long double _X)
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{return (exp((double)_X)); }
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inline long double fabsl(long double _X)
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{return (fabs((double)_X)); }
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inline long double floorl(long double _X)
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{return (floor((double)_X)); }
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inline long double fmodl(long double _X, long double _Y)
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{return (fmod((double)_X, (double)_Y)); }
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inline long double frexpl(long double _X, int *_Y)
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{return (frexp((double)_X, _Y)); }
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inline long double ldexpl(long double _X, int _Y)
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{return (ldexp((double)_X, _Y)); }
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inline long double logl(long double _X)
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{return (log((double)_X)); }
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inline long double log10l(long double _X)
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{return (log10((double)_X)); }
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inline long double modfl(long double _X, long double *_Y)
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{double _Di, _Df = modf((double)_X, &_Di);
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*_Y = (long double)_Di;
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return (_Df); }
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inline long double powl(long double _X, long double _Y)
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{return (pow((double)_X, (double)_Y)); }
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inline long double sinl(long double _X)
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{return (sin((double)_X)); }
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inline long double sinhl(long double _X)
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{return (sinh((double)_X)); }
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inline long double sqrtl(long double _X)
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{return (sqrt((double)_X)); }
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inline long double tanl(long double _X)
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{return (tan((double)_X)); }
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inline long double tanhl(long double _X)
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{return (tanh((double)_X)); }
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inline float frexpf(float _X, int *_Y)
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{return ((float)frexp((double)_X, _Y)); }
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inline float ldexpf(float _X, int _Y)
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{return ((float)ldexp((double)_X, _Y)); }
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#if !defined(_M_MRX000) && !defined(_M_ALPHA) && !defined(_M_IA64)
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inline float acosf(float _X)
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{return ((float)acos((double)_X)); }
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inline float asinf(float _X)
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{return ((float)asin((double)_X)); }
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inline float atanf(float _X)
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{return ((float)atan((double)_X)); }
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inline float atan2f(float _X, float _Y)
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{return ((float)atan2((double)_X, (double)_Y)); }
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inline float ceilf(float _X)
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{return ((float)ceil((double)_X)); }
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inline float cosf(float _X)
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{return ((float)cos((double)_X)); }
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inline float coshf(float _X)
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{return ((float)cosh((double)_X)); }
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inline float expf(float _X)
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{return ((float)exp((double)_X)); }
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inline float fabsf(float _X)
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{return ((float)fabs((double)_X)); }
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inline float floorf(float _X)
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{return ((float)floor((double)_X)); }
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inline float fmodf(float _X, float _Y)
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{return ((float)fmod((double)_X, (double)_Y)); }
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inline float logf(float _X)
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{return ((float)log((double)_X)); }
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inline float log10f(float _X)
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{return ((float)log10((double)_X)); }
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inline float modff(float _X, float *_Y)
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{ double _Di, _Df = modf((double)_X, &_Di);
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*_Y = (float)_Di;
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return ((float)_Df); }
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inline float powf(float _X, float _Y)
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{return ((float)pow((double)_X, (double)_Y)); }
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inline float sinf(float _X)
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{return ((float)sin((double)_X)); }
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inline float sinhf(float _X)
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{return ((float)sinh((double)_X)); }
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inline float sqrtf(float _X)
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{return ((float)sqrt((double)_X)); }
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inline float tanf(float _X)
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{return ((float)tan((double)_X)); }
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inline float tanhf(float _X)
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{return ((float)tanh((double)_X)); }
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#endif /* !defined(_M_MRX000) && !defined(_M_ALPHA) && !defined(_M_IA64) */
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#endif /* __cplusplus */
|
|
#endif /* __assembler */
|
|
|
|
#if !__STDC__
|
|
|
|
/* Non-ANSI names for compatibility */
|
|
|
|
#define DOMAIN _DOMAIN
|
|
#define SING _SING
|
|
#define OVERFLOW _OVERFLOW
|
|
#define UNDERFLOW _UNDERFLOW
|
|
#define TLOSS _TLOSS
|
|
#define PLOSS _PLOSS
|
|
|
|
#define matherr _matherr
|
|
|
|
#ifndef __assembler /* Protect from assembler */
|
|
|
|
_CRTIMP extern double HUGE;
|
|
|
|
_CRTIMP double __cdecl cabs(struct _complex);
|
|
_CRTIMP double __cdecl hypot(double, double);
|
|
_CRTIMP double __cdecl j0(double);
|
|
_CRTIMP double __cdecl j1(double);
|
|
_CRTIMP double __cdecl jn(int, double);
|
|
int __cdecl matherr(struct _exception *);
|
|
_CRTIMP double __cdecl y0(double);
|
|
_CRTIMP double __cdecl y1(double);
|
|
_CRTIMP double __cdecl yn(int, double);
|
|
|
|
#endif /* __assembler */
|
|
|
|
#endif /* __STDC__ */
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
|
|
extern "C++" {
|
|
|
|
template<class _Ty> inline
|
|
_Ty _Pow_int(_Ty _X, int _Y)
|
|
{unsigned int _N;
|
|
if (_Y >= 0)
|
|
_N = _Y;
|
|
else
|
|
_N = -_Y;
|
|
for (_Ty _Z = _Ty(1); ; _X *= _X)
|
|
{if ((_N & 1) != 0)
|
|
_Z *= _X;
|
|
if ((_N >>= 1) == 0)
|
|
return (_Y < 0 ? _Ty(1) / _Z : _Z); }}
|
|
|
|
#ifndef _MSC_EXTENSIONS
|
|
|
|
inline long __cdecl abs(long _X)
|
|
{return (labs(_X)); }
|
|
inline double __cdecl abs(double _X)
|
|
{return (fabs(_X)); }
|
|
inline double __cdecl pow(double _X, int _Y)
|
|
{return (_Pow_int(_X, _Y)); }
|
|
inline double __cdecl pow(int _X, int _Y)
|
|
{return (_Pow_int(_X, _Y)); }
|
|
inline float __cdecl abs(float _X)
|
|
{return (fabsf(_X)); }
|
|
inline float __cdecl acos(float _X)
|
|
{return (acosf(_X)); }
|
|
inline float __cdecl asin(float _X)
|
|
{return (asinf(_X)); }
|
|
inline float __cdecl atan(float _X)
|
|
{return (atanf(_X)); }
|
|
inline float __cdecl atan2(float _Y, float _X)
|
|
{return (atan2f(_Y, _X)); }
|
|
inline float __cdecl ceil(float _X)
|
|
{return (ceilf(_X)); }
|
|
inline float __cdecl cos(float _X)
|
|
{return (cosf(_X)); }
|
|
inline float __cdecl cosh(float _X)
|
|
{return (coshf(_X)); }
|
|
inline float __cdecl exp(float _X)
|
|
{return (expf(_X)); }
|
|
inline float __cdecl fabs(float _X)
|
|
{return (fabsf(_X)); }
|
|
inline float __cdecl floor(float _X)
|
|
{return (floorf(_X)); }
|
|
inline float __cdecl fmod(float _X, float _Y)
|
|
{return (fmodf(_X, _Y)); }
|
|
inline float __cdecl frexp(float _X, int * _Y)
|
|
{return (frexpf(_X, _Y)); }
|
|
inline float __cdecl ldexp(float _X, int _Y)
|
|
{return (ldexpf(_X, _Y)); }
|
|
inline float __cdecl log(float _X)
|
|
{return (logf(_X)); }
|
|
inline float __cdecl log10(float _X)
|
|
{return (log10f(_X)); }
|
|
inline float __cdecl modf(float _X, float * _Y)
|
|
{return (modff(_X, _Y)); }
|
|
inline float __cdecl pow(float _X, float _Y)
|
|
{return (powf(_X, _Y)); }
|
|
inline float __cdecl pow(float _X, int _Y)
|
|
{return (_Pow_int(_X, _Y)); }
|
|
inline float __cdecl sin(float _X)
|
|
{return (sinf(_X)); }
|
|
inline float __cdecl sinh(float _X)
|
|
{return (sinhf(_X)); }
|
|
inline float __cdecl sqrt(float _X)
|
|
{return (sqrtf(_X)); }
|
|
inline float __cdecl tan(float _X)
|
|
{return (tanf(_X)); }
|
|
inline float __cdecl tanh(float _X)
|
|
{return (tanhf(_X)); }
|
|
inline long double __cdecl abs(long double _X)
|
|
{return (fabsl(_X)); }
|
|
inline long double __cdecl acos(long double _X)
|
|
{return (acosl(_X)); }
|
|
inline long double __cdecl asin(long double _X)
|
|
{return (asinl(_X)); }
|
|
inline long double __cdecl atan(long double _X)
|
|
{return (atanl(_X)); }
|
|
inline long double __cdecl atan2(long double _Y, long double _X)
|
|
{return (atan2l(_Y, _X)); }
|
|
inline long double __cdecl ceil(long double _X)
|
|
{return (ceill(_X)); }
|
|
inline long double __cdecl cos(long double _X)
|
|
{return (cosl(_X)); }
|
|
inline long double __cdecl cosh(long double _X)
|
|
{return (coshl(_X)); }
|
|
inline long double __cdecl exp(long double _X)
|
|
{return (expl(_X)); }
|
|
inline long double __cdecl fabs(long double _X)
|
|
{return (fabsl(_X)); }
|
|
inline long double __cdecl floor(long double _X)
|
|
{return (floorl(_X)); }
|
|
inline long double __cdecl fmod(long double _X, long double _Y)
|
|
{return (fmodl(_X, _Y)); }
|
|
inline long double __cdecl frexp(long double _X, int * _Y)
|
|
{return (frexpl(_X, _Y)); }
|
|
inline long double __cdecl ldexp(long double _X, int _Y)
|
|
{return (ldexpl(_X, _Y)); }
|
|
inline long double __cdecl log(long double _X)
|
|
{return (logl(_X)); }
|
|
inline long double __cdecl log10(long double _X)
|
|
{return (log10l(_X)); }
|
|
inline long double __cdecl modf(long double _X, long double * _Y)
|
|
{return (modfl(_X, _Y)); }
|
|
inline long double __cdecl pow(long double _X, long double _Y)
|
|
{return (powl(_X, _Y)); }
|
|
inline long double __cdecl pow(long double _X, int _Y)
|
|
{return (_Pow_int(_X, _Y)); }
|
|
inline long double __cdecl sin(long double _X)
|
|
{return (sinl(_X)); }
|
|
inline long double __cdecl sinh(long double _X)
|
|
{return (sinhl(_X)); }
|
|
inline long double __cdecl sqrt(long double _X)
|
|
{return (sqrtl(_X)); }
|
|
inline long double __cdecl tan(long double _X)
|
|
{return (tanl(_X)); }
|
|
inline long double __cdecl tanh(long double _X)
|
|
{return (tanhl(_X)); }
|
|
|
|
#endif /* _MSC_EXTENSIONS */
|
|
|
|
}
|
|
#endif /* __cplusplus */
|
|
|
|
#ifdef _MSC_VER
|
|
#pragma pack(pop)
|
|
#endif /* _MSC_VER */
|
|
|
|
#endif /* _INC_MATH */
|