C# Class Fusion.Engine.Graphics.GIS.GlobeMath.DMathUtil

显示文件 Open project: demiurghg/FusionEngine

Public Methods

Method	Description
Clamp ( double value, double min, double max ) : double	Clamps the specified value.
Clamp ( int value, int min, int max ) : int	Clamps the specified value.
DegreesToRadians ( DVector2 degree ) : DVector2
DegreesToRadians ( double degree ) : double	Converts degrees to radians.
DegreesToRevolutions ( double degree ) : double	Converts degrees to revolutions.
Gauss ( double amplitude, double x, double y, double radX, double radY, double sigmaX, double sigmaY ) : double	Gauss function.
GradiansToDegrees ( double gradian ) : double	Converts gradians to degrees.
GradiansToRadians ( double gradian ) : double	Converts gradians to radians.
GradiansToRevolutions ( double gradian ) : double	Converts gradians to revolutions.
IsOne ( double a ) : bool	Determines whether the specified value is close to one (1.0f).
IsZero ( double a ) : bool	Determines whether the specified value is close to zero (0.0f).
Lerp ( byte from, byte to, double amount ) : byte	Interpolates between two values using a linear function by a given amount. See http://www.encyclopediaofmath.org/index.php/Linear_interpolation and http://fgiesen.wordpress.com/2012/08/15/linear-interpolation-past-present-and-future/
Lerp ( double from, double to, double amount ) : double	Interpolates between two values using a linear function by a given amount. See http://www.encyclopediaofmath.org/index.php/Linear_interpolation and http://fgiesen.wordpress.com/2012/08/15/linear-interpolation-past-present-and-future/
Mod ( double value, double modulo ) : double	Calculates the modulo of the specified value.
Mod2PI ( double value ) : double	Calculates the modulo 2*PI of the specified value.
NearEqual ( double a, double b ) : bool	Checks if a and b are almost equals, taking into account the magnitude of doubleing point numbers (unlike WithinEpsilon method). See Remarks. See remarks. The code is using the technique described by Bruce Dawson in Comparing doubleing point numbers 2012 edition.
RadiansToDegrees ( double radian ) : double	Converts radians to degrees.
RadiansToGradians ( double radian ) : double	Converts radians to gradians.
RadiansToRevolutions ( double radian ) : double	Converts radians to revolutions.
RevolutionsToDegrees ( double revolution ) : double	Converts revolutions to degrees.
RevolutionsToGradians ( double revolution ) : double	Converts revolutions to gradians.
RevolutionsToRadians ( double revolution ) : double	Converts revolutions to radians.
SmoothStep ( double amount ) : double	Performs smooth (cubic Hermite) interpolation between 0 and 1. See https://en.wikipedia.org/wiki/Smoothstep
SmootherStep ( double amount ) : double	Performs a smooth(er) interpolation between 0 and 1 with 1st and 2nd order derivatives of zero at endpoints. See https://en.wikipedia.org/wiki/Smoothstep
WithinEpsilon ( double a, double b, double epsilon ) : bool	Checks if a - b are almost equals within a double epsilon.
Wrap ( double value, double min, double max ) : double	Wraps the specified value into a range [min, max[
Wrap ( int value, int min, int max ) : int	Wraps the specified value into a range [min, max]

Method Details

Clamp() public static method

Clamps the specified value.

public static Clamp ( double value, double min, double max ) : double
value	double	The value.
min	double	The min.
max	double	The max.
return	double

Clamp() public static method

Clamps the specified value.

public static Clamp ( int value, int min, int max ) : int
value	int	The value.
min	int	The min.
max	int	The max.
return	int

DegreesToRadians() public static method

public static DegreesToRadians ( DVector2 degree ) : DVector2
degree	DVector2
return	DVector2

DegreesToRadians() public static method

Converts degrees to radians.

public static DegreesToRadians ( double degree ) : double
degree	double	The value to convert.
return	double

DegreesToRevolutions() public static method

Converts degrees to revolutions.

public static DegreesToRevolutions ( double degree ) : double
degree	double	The value to convert.
return	double

Gauss() public static method

Gauss function.

public static Gauss ( double amplitude, double x, double y, double radX, double radY, double sigmaX, double sigmaY ) : double
amplitude	double	Curve amplitude.
x	double	Position X.
y	double	Position Y
radX	double	Radius X.
radY	double	Radius Y.
sigmaX	double	Curve sigma X.
sigmaY	double	Curve sigma Y.
return	double

GradiansToDegrees() public static method

Converts gradians to degrees.

public static GradiansToDegrees ( double gradian ) : double
gradian	double	The value to convert.
return	double

GradiansToRadians() public static method

Converts gradians to radians.

public static GradiansToRadians ( double gradian ) : double
gradian	double	The value to convert.
return	double

GradiansToRevolutions() public static method

Converts gradians to revolutions.

public static GradiansToRevolutions ( double gradian ) : double
gradian	double	The value to convert.
return	double

IsOne() public static method

Determines whether the specified value is close to one (1.0f).

public static IsOne ( double a ) : bool
a	double	The doubleing value.
return	bool

IsZero() public static method

Determines whether the specified value is close to zero (0.0f).

public static IsZero ( double a ) : bool
a	double	The doubleing value.
return	bool

Lerp() public static method

Interpolates between two values using a linear function by a given amount.

See http://www.encyclopediaofmath.org/index.php/Linear_interpolation and http://fgiesen.wordpress.com/2012/08/15/linear-interpolation-past-present-and-future/

public static Lerp ( byte from, byte to, double amount ) : byte
from	byte	Value to interpolate from.
to	byte	Value to interpolate to.
amount	double	Interpolation amount.
return	byte

Lerp() public static method

Interpolates between two values using a linear function by a given amount.

See http://www.encyclopediaofmath.org/index.php/Linear_interpolation and http://fgiesen.wordpress.com/2012/08/15/linear-interpolation-past-present-and-future/

public static Lerp ( double from, double to, double amount ) : double
from	double	Value to interpolate from.
to	double	Value to interpolate to.
amount	double	Interpolation amount.
return	double

Mod() public static method

Calculates the modulo of the specified value.

public static Mod ( double value, double modulo ) : double
value	double	The value.
modulo	double	The modulo.
return	double

Mod2PI() public static method

Calculates the modulo 2*PI of the specified value.

public static Mod2PI ( double value ) : double
value	double	The value.
return	double

NearEqual() public static method

Checks if a and b are almost equals, taking into account the magnitude of doubleing point numbers (unlike WithinEpsilon method). See Remarks. See remarks.

The code is using the technique described by Bruce Dawson in Comparing doubleing point numbers 2012 edition.

public static NearEqual ( double a, double b ) : bool
a	double	The left value to compare.
b	double	The right value to compare.
return	bool

RadiansToDegrees() public static method

Converts radians to degrees.

public static RadiansToDegrees ( double radian ) : double
radian	double	The value to convert.
return	double

RadiansToGradians() public static method

Converts radians to gradians.

public static RadiansToGradians ( double radian ) : double
radian	double	The value to convert.
return	double

RadiansToRevolutions() public static method

Converts radians to revolutions.

public static RadiansToRevolutions ( double radian ) : double
radian	double	The value to convert.
return	double

RevolutionsToDegrees() public static method

Converts revolutions to degrees.

public static RevolutionsToDegrees ( double revolution ) : double
revolution	double	The value to convert.
return	double

RevolutionsToGradians() public static method

Converts revolutions to gradians.

public static RevolutionsToGradians ( double revolution ) : double
revolution	double	The value to convert.
return	double

RevolutionsToRadians() public static method

Converts revolutions to radians.

public static RevolutionsToRadians ( double revolution ) : double
revolution	double	The value to convert.
return	double

SmoothStep() public static method

Performs smooth (cubic Hermite) interpolation between 0 and 1.

See https://en.wikipedia.org/wiki/Smoothstep

public static SmoothStep ( double amount ) : double
amount	double	Value between 0 and 1 indicating interpolation amount.
return	double

SmootherStep() public static method

Performs a smooth(er) interpolation between 0 and 1 with 1st and 2nd order derivatives of zero at endpoints.

See https://en.wikipedia.org/wiki/Smoothstep

public static SmootherStep ( double amount ) : double
amount	double	Value between 0 and 1 indicating interpolation amount.
return	double

WithinEpsilon() public static method

Checks if a - b are almost equals within a double epsilon.

public static WithinEpsilon ( double a, double b, double epsilon ) : bool
a	double	The left value to compare.
b	double	The right value to compare.
epsilon	double	Epsilon value
return	bool

Wrap() public static method

Wraps the specified value into a range [min, max[

Is thrown when is greater than .

public static Wrap ( double value, double min, double max ) : double
value	double	The value.
min	double	The min.
max	double	The max.
return	double

Wrap() public static method

Wraps the specified value into a range [min, max]

Is thrown when is greater than .

public static Wrap ( int value, int min, int max ) : int
value	int	The value to wrap.
min	int	The min.
max	int	The max.
return	int