This file defines math constants and methods which may be useful in simulations. More...

Macros
#define	DtEPico 1.0E-12
	DtMin/DtMax via vlUtil.h. More...

#define	DtENano 1.0E-09

#define	DtEMicro 1.0E-06

#define	DtEMilli 1.0E-03

#define	DtECenti 1.0E-02

#define	DtEDeci 1.0E-01

#define	DtEHalf 5.0E-01

#define	DtENineTenths 9.0E-01

#define	DtEOne 1.0

#define	DtEDeca 1.0E01

#define	DtEHecto 1.0E02

#define	DtEKilo 1.0E03

#define	DtEMega 1.0E06

#define	DtEGiga 1.0E09

#define	DtEq(x, y, e) ((DtAbs((x) - (y)) <= (e)) ? true : false)
	A macro to make use of these tolerances. More...

#define	M_2PI 6.28318530717958647693 /* 2Pi */

#define	M_E 2.7182818284590452354 /* Euler constant "e" */

#define	M_1_E 0.36787944117144232160 /* 1/e */

#define	M_LN2 0.69314718055994530942 /* ln(2) */

#define	M_LN10 2.30258509299404568402 /* ln(10) */

#define	M_LOG2E 1.4426950408889634074 /* log2(e) = 1/ln(2) */

#define	M_LOG10E 0.43429448190325182765 /* log10(e) = 1/ln(10) */

#define	M_PI 3.14159265358979323846 /* Pythagorean constant "Pi" */

#define	M_PI_2 1.57079632679489661923 /* Pi/2 */

#define	M_PI_3 1.04719755119659774615 /* Pi/3 */

#define	M_PI_4 0.78539816339744830962 /* Pi/4 */

#define	M_1_PI 0.31830988618379067154 /* 1/Pi */

#define	M_2_PI 0.63661977236758134308 /* 2/Pi */

#define	M_3_PI 0.954929658551372014613 /* 3/Pi */

#define	M_4_PI 1.27323954473516268615 /* 4/Pi */

#define	M_SQRTPI 1.77245385090551602730 /* Sqrt(Pi) */

#define	M_1_SQRTPI 0.564189583547756286948 /* 1/Sqrt(Pi) */

#define	M_2_SQRTPI 1.12837916709551257390 /* 2/Sqrt(Pi) */

#define	M_3_SQRTPI 1.69256875064326886084 /* 3/Sqrt(Pi) */

#define	M_4_SQRTPI 2.25675833419102514779 /* 4/Sqrt(Pi) */

#define	M_SQRT2PI 2.50662827463100050242 /* Sqrt(2Pi) */

#define	M_1_SQRT2PI 0.39894228040143267794 /* 1/Sqrt(2Pi) */

#define	M_RAD2DEG 57.2957795130823208768 /* 180/Pi radians --> degrees */

#define	M_DEG2RAD 0.0174532925199432957692 /* Pi/180 degrees --> radians */

#define	M_SQRT2 1.41421356237309504880 /* Sqrt(2) */

#define	M_SQRT_2 0.707106781186547524401 /* 1/Sqrt(2) */

#define	M_GOLDEN_R 0.6180339887498948482046 /* GoldenRatio: (Sqrt(5) - 1)/2 */

Functions
double	DtRad2Deg (double rad)
	Converts Radians to Degrees. More...

double	DtDeg2Rad (double deg)
	Converts Degrees to Radians. More...

template<typename T >
T	DtAbs (T x)
	Returns the absolute value of x for type T. More...

template<typename T >
int	DtSgn (T x)
	Returns the sign of X for type T. More...

template<typename T >
T	DtPos (T x)
	Returns x if greater than zero. More...

template<typename T >
T	DtNeg (const T &val)
	Returns x if x is less than zero for type T. More...

template<typename T >
T	DtSquare (const T &val)
	Returns the square of x for type T. More...

template<typename T >
T	DtLimit (T x, T lo, T hi)
	if x is outside the limits (hi and lo) then x is set to the nearest limit More...

template<typename T >
T	DtMod (T a, T b)
	Returns the remainder of a / b for type T. More...

template<>
float	DtMod (float a, float b)
	Returns the remainder of a / b for float. More...

template<>
double	DtMod (double a, double b)
	Returns the remainder of a / b for double. More...

template<typename T >
T	DtGCD (T a, T b)
	Returns the greatest common divisor of a and b for type T. More...

template<typename T >
T	DtLCM (T a, T b)
	Returns the least common multiple of a and b for Type T. More...

Detailed Description

This file defines math constants and methods which may be useful in simulations.

Macro Definition Documentation

#define DtECenti 1.0E-02

#define DtEDeca 1.0E01

#define DtEDeci 1.0E-01

#define DtEGiga 1.0E09

#define DtEHalf 5.0E-01

#define DtEHecto 1.0E02

#define DtEKilo 1.0E03

#define DtEMega 1.0E06

#define DtEMicro 1.0E-06

#define DtEMilli 1.0E-03

#define DtENano 1.0E-09

#define DtENineTenths 9.0E-01

#define DtEOne 1.0

#define DtEPico 1.0E-12

DtMin/DtMax via vlUtil.h.

Definitions A selection of constants useful as tolerance and threshold levels, etc.

#define DtEq	(	x,
		y,
		e
	)	((DtAbs((x) - (y)) <= (e)) ? true : false)

A macro to make use of these tolerances.

#define M_1_E 0.36787944117144232160 /* 1/e */

#define M_1_PI 0.31830988618379067154 /* 1/Pi */

#define M_1_SQRT2PI 0.39894228040143267794 /* 1/Sqrt(2Pi) */

#define M_1_SQRTPI 0.564189583547756286948 /* 1/Sqrt(Pi) */

#define M_2_PI 0.63661977236758134308 /* 2/Pi */

#define M_2_SQRTPI 1.12837916709551257390 /* 2/Sqrt(Pi) */

#define M_2PI 6.28318530717958647693 /* 2Pi */

#define M_3_PI 0.954929658551372014613 /* 3/Pi */

#define M_3_SQRTPI 1.69256875064326886084 /* 3/Sqrt(Pi) */

#define M_4_PI 1.27323954473516268615 /* 4/Pi */

#define M_4_SQRTPI 2.25675833419102514779 /* 4/Sqrt(Pi) */

#define M_DEG2RAD 0.0174532925199432957692 /* Pi/180 degrees --> radians */

#define M_E 2.7182818284590452354 /* Euler constant "e" */

#define M_GOLDEN_R 0.6180339887498948482046 /* GoldenRatio: (Sqrt(5) - 1)/2 */

#define M_LN10 2.30258509299404568402 /* ln(10) */

#define M_LN2 0.69314718055994530942 /* ln(2) */

#define M_LOG10E 0.43429448190325182765 /* log10(e) = 1/ln(10) */

#define M_LOG2E 1.4426950408889634074 /* log2(e) = 1/ln(2) */

#define M_PI 3.14159265358979323846 /* Pythagorean constant "Pi" */

Referenced by DtDeg2Rad(), DtGeocentricToMgFlatEarth(), DtRad2Deg(), DtThresholder::setDfltRotationThreshold(), and DtArtPartThresholder::setDfltRotationThreshold().

#define M_PI_2 1.57079632679489661923 /* Pi/2 */

#define M_PI_3 1.04719755119659774615 /* Pi/3 */

#define M_PI_4 0.78539816339744830962 /* Pi/4 */

#define M_RAD2DEG 57.2957795130823208768 /* 180/Pi radians --> degrees */

#define M_SQRT2 1.41421356237309504880 /* Sqrt(2) */

#define M_SQRT2PI 2.50662827463100050242 /* Sqrt(2Pi) */

#define M_SQRT_2 0.707106781186547524401 /* 1/Sqrt(2) */

#define M_SQRTPI 1.77245385090551602730 /* Sqrt(Pi) */

Function Documentation

template<typename T >

T DtAbs ( T x )

Returns the absolute value of x for type T.

double DtDeg2Rad ( double deg )

inline

Converts Degrees to Radians.

References M_PI.

template<typename T >

T DtGCD	(	T	a,
		T	b
	)

Returns the greatest common divisor of a and b for type T.

References DtMod(), and DtTHROW_NEW.

Referenced by DtLCM().

template<typename T >

T DtLCM	(	T	a,
		T	b
	)

Returns the least common multiple of a and b for Type T.

References DtGCD(), and DtTHROW_NEW.

template<typename T >

T DtLimit	(	T	x,
		T	lo,
		T	hi
	)

if x is outside the limits (hi and lo) then x is set to the nearest limit

Referenced by DtThresholder::setDfltRotationThreshold(), and DtArtPartThresholder::setDfltRotationThreshold().

template<typename T >

T DtMod	(	T	a,
		T	b
	)

inline

Returns the remainder of a / b for type T.

Referenced by DtGCD().

template<>

float DtMod	(	float	a,
		float	b
	)

inline

Returns the remainder of a / b for float.

template<>

double DtMod	(	double	a,
		double	b
	)

inline

Returns the remainder of a / b for double.

template<typename T >

T DtNeg ( const T & val )

Returns x if x is less than zero for type T.

template<typename T >

T DtPos ( T x )

Returns x if greater than zero.

double DtRad2Deg ( double rad )

inline

Converts Radians to Degrees.

References M_PI.

Referenced by DtGeocentricToMgFlatEarth().

template<typename T >

int DtSgn ( T x )

Returns the sign of X for type T.

template<typename T >

T DtSquare ( const T & val )

Returns the square of x for type T.

Macros

Functions

Detailed Description

Macro Definition Documentation

Function Documentation