C# Class Server.Utils.Math.MathHelper

Contains commonly used precalculated values and mathematical operations.

ファイルを表示 Open project: GrindFest/GrindFest

Public Methods

Method	Description
Barycentric ( float value1, float value2, float value3, float amount1, float amount2 ) : float	Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.
CatmullRom ( float value1, float value2, float value3, float value4, float amount ) : float	Performs a Catmull-Rom interpolation using the specified positions.
Clamp ( float value, float min, float max ) : float	Restricts a value to be within a specified range.
Clamp ( int value, int min, int max ) : int	Restricts a value to be within a specified range.
Distance ( float value1, float value2 ) : float	Calculates the absolute value of the difference of two values.
Hermite ( float value1, float tangent1, float value2, float tangent2, float amount ) : float	Performs a Hermite spline interpolation.
IsPowerOfTwo ( int value ) : bool	Determines if value is powered by two.
Lerp ( float value1, float value2, float amount ) : float	Linearly interpolates between two values. This method performs the linear interpolation based on the following formula. `value1 + (value2 - value1) * amount` Passing amount a value of 0 will cause value1 to be returned, a value of 1 will cause value2 to be returned.
Max ( float value1, float value2 ) : float	Returns the greater of two values.
Min ( float value1, float value2 ) : float	Returns the lesser of two values.
SmoothStep ( float value1, float value2, float amount ) : float	Interpolates between two values using a cubic equation.
ToDegrees ( float radians ) : float	Converts radians to degrees. This method uses double precission internally, though it returns single float Factor = 180 / pi
ToRadians ( float degrees ) : float	Converts degrees to radians. This method uses double precission internally, though it returns single float Factor = pi / 180
WrapAngle ( float angle ) : float	Reduces a given angle to a value between π and -π.

Method Details

Barycentric() public static method

Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.

public static Barycentric ( float value1, float value2, float value3, float amount1, float amount2 ) : float
value1	float	The coordinate on one axis of vertex 1 of the defining triangle.
value2	float	The coordinate on the same axis of vertex 2 of the defining triangle.
value3	float	The coordinate on the same axis of vertex 3 of the defining triangle.
amount1	float	The normalized barycentric (areal) coordinate b2, equal to the weighting factor for vertex 2, the coordinate of which is specified in value2.
amount2	float	The normalized barycentric (areal) coordinate b3, equal to the weighting factor for vertex 3, the coordinate of which is specified in value3.
return	float

CatmullRom() public static method

Performs a Catmull-Rom interpolation using the specified positions.

public static CatmullRom ( float value1, float value2, float value3, float value4, float amount ) : float
value1	float	The first position in the interpolation.
value2	float	The second position in the interpolation.
value3	float	The third position in the interpolation.
value4	float	The fourth position in the interpolation.
amount	float	Weighting factor.
return	float

Clamp() public static method

Restricts a value to be within a specified range.

public static Clamp ( float value, float min, float max ) : float
value	float	The value to clamp.
min	float	The minimum value. If value is less than min, min will be returned.
max	float	The maximum value. If value is greater than max, max will be returned.
return	float

Clamp() public static method

Restricts a value to be within a specified range.

public static Clamp ( int value, int min, int max ) : int
value	int	The value to clamp.
min	int	The minimum value. If value is less than min, min will be returned.
max	int	The maximum value. If value is greater than max, max will be returned.
return	int

Distance() public static method

Calculates the absolute value of the difference of two values.

public static Distance ( float value1, float value2 ) : float
value1	float	Source value.
value2	float	Source value.
return	float

Hermite() public static method

Performs a Hermite spline interpolation.

public static Hermite ( float value1, float tangent1, float value2, float tangent2, float amount ) : float
value1	float	Source position.
tangent1	float	Source tangent.
value2	float	Source position.
tangent2	float	Source tangent.
amount	float	Weighting factor.
return	float

IsPowerOfTwo() public static method

Determines if value is powered by two.

public static IsPowerOfTwo ( int value ) : bool
value	int	A value.
return	bool

Lerp() public static method

Linearly interpolates between two values.

This method performs the linear interpolation based on the following formula. value1 + (value2 - value1) * amount Passing amount a value of 0 will cause value1 to be returned, a value of 1 will cause value2 to be returned.

public static Lerp ( float value1, float value2, float amount ) : float
value1	float	Source value.
value2	float	Source value.
amount	float	Value between 0 and 1 indicating the weight of value2.
return	float

Max() public static method

Returns the greater of two values.

public static Max ( float value1, float value2 ) : float
value1	float	Source value.
value2	float	Source value.
return	float

Min() public static method

Returns the lesser of two values.

public static Min ( float value1, float value2 ) : float
value1	float	Source value.
value2	float	Source value.
return	float

SmoothStep() public static method

Interpolates between two values using a cubic equation.

public static SmoothStep ( float value1, float value2, float amount ) : float
value1	float	Source value.
value2	float	Source value.
amount	float	Weighting value.
return	float

ToDegrees() public static method

Converts radians to degrees.

This method uses double precission internally, though it returns single float Factor = 180 / pi

public static ToDegrees ( float radians ) : float
radians	float	The angle in radians.
return	float

ToRadians() public static method

Converts degrees to radians.

This method uses double precission internally, though it returns single float Factor = pi / 180

public static ToRadians ( float degrees ) : float
degrees	float	The angle in degrees.
return	float

WrapAngle() public static method

Reduces a given angle to a value between π and -π.

public static WrapAngle ( float angle ) : float
angle	float	The angle to reduce, in radians.
return	float