Designed to keep other code clean of messy spaghetti code required for some math operations. More...

Static Public Member Functions
static decimal	Clamp (this decimal value, decimal min=0, decimal max=1)
	Makes a value stay within a certain range More...

static double	Clamp (this double value, double min=0, double max=1)
	Makes a value stay within a certain range More...

static float	Clamp (this float value, float min=0, float max=1)
	Makes a value stay within a certain range More...

static int	Clamp (this int value, int min=0, int max=1)
	Makes a value stay within a certain range More...

static double	Modulo (this double dividend, double divisor)
	Calculates a modulus (always positive). More...

static float	Modulo (this float dividend, float divisor)
	Calculates a modulus (always positive). More...

static int	Modulo (this int dividend, int divisor)
	Calculates a modulus (always positive). More...

static float	DegreeToRadian (this float value)
	Converts an angle in degrees to radians More...

static double	DegreeToRadian (this double value)
	Converts an angle in degrees to radians More...

static float	RadianToDegree (this float value)
	Converts an angle in radians to degrees More...

static double	RadianToDegree (this double value)
	Converts an angle in radians to degrees More...

static Vector3	UnitVector (double inclination, double azimuth)
	Calculates a unit vector using spherical coordinates. More...

static byte	AngleToByte (this double angle)
	Maps a 0�-180� angle in radians to a 0-255 byte value. More...

static double	ByteToAngle (this byte b)
	Maps a 0-255 byte value to a 0�-180� angle in radians. More...

static Vector4	ByteToAngle (this ByteVector4 vector)
	Maps a vector of 0-255 byte values to a vector of 0�-180� angles in radians. More...

static double	InterpolateTrigonometric (double factor, [NotNull] params double[] values)
	Performs smooth (trigonometric) interpolation between two or more values More...

static float	InterpolateTrigonometric (this float factor, [NotNull] params float[] values)
	Performs smooth (trigonometric) interpolation between two or more values More...

static Vector4	InterpolateTrigonometric (float factor, [NotNull] params Vector4[] values)
	Performs smooth (trigonometric) interpolation between two or more values More...

static double	Factorial (int n)
	Calculates the factorial of n (n!) More...

static double	BinomCoeff (int n, int k)
	Calculates the binomial coefficient (n choose k) More...

static Vector2 []	Bezier (int resolution, [NotNull] params Vector2[] controlPoints)
	Calculates points on a 2D bezier curve More...

static DoubleVector3 []	Bezier (int resolution, [NotNull] params DoubleVector3[] controlPoints)
	Calculates points on a 3D bezier curve More...

static double []	GaussKernel (double sigma, int kernelSize)
	Generates a Gaussian kernel. More...

static short	LoWord (uint l)

static short	LoWord (int l)

static short	HiWord (uint l)

static short	HiWord (int l)

static int	HiByte (byte b)

static int	LoByte (byte b)

static byte	CombineHiLoByte (int high, int low)

static Quaternion	ViewQuaternion (this Vector3 view, float roll)
	Calculates a rotation quaternion for a view vector More...

static Vector2	Rotate (this Vector2 value, float rotation)
	Rotates a Vector2 by rotation around the origin. More...

static BoundingBox	Transform (this BoundingBox box, Matrix matrix)
	Applies a matrix transform to a bounding box. More...

static BoundingSphere	Transform (this BoundingSphere sphere, Matrix matrix)
	Applies a matrix transform to a bounding sphere. More...

Detailed Description

Designed to keep other code clean of messy spaghetti code required for some math operations.

Member Function Documentation

◆ AngleToByte()

static byte OmegaEngine.MathUtils.AngleToByte ( this double angle )

static

Maps a 0�-180� angle in radians to a 0-255 byte value.

◆ Bezier() [1/2]

static Vector2 [] OmegaEngine.MathUtils.Bezier	(	int	resolution,
		[NotNull] params Vector2 []	controlPoints
	)

inlinestatic

Calculates points on a 2D bezier curve

Parameters

controlPoints	An array of control points; the curve will pass through the first and the last entry
resolution	The desired number of output points

Returns: An array of resolution points on the curve

◆ Bezier() [2/2]

static DoubleVector3 [] OmegaEngine.MathUtils.Bezier	(	int	resolution,
		[NotNull] params DoubleVector3 []	controlPoints
	)

inlinestatic

Calculates points on a 3D bezier curve

Parameters

resolution	The desired number of output points
controlPoints	An array of control points; the curve will pass through the first and the last entry

Returns: An array of resolution points on the curve

◆ BinomCoeff()

static double OmegaEngine.MathUtils.BinomCoeff	(	int	n,
		int	k
	)

inlinestatic

Calculates the binomial coefficient (n choose k)

Parameters

n	A value between 0 and 32768
k	An integer

◆ ByteToAngle() [1/2]

static double OmegaEngine.MathUtils.ByteToAngle ( this byte b )

static

Maps a 0-255 byte value to a 0�-180� angle in radians.

◆ ByteToAngle() [2/2]

static Vector4 OmegaEngine.MathUtils.ByteToAngle ( this ByteVector4 vector )

static

Maps a vector of 0-255 byte values to a vector of 0�-180� angles in radians.

◆ Clamp() [1/4]

static decimal OmegaEngine.MathUtils.Clamp	(	this decimal	value,
		decimal	min = `0`,
		decimal	max = `1`
	)

inlinestatic

Makes a value stay within a certain range

Parameters

value	The number to clamp
min	The minimum number to return
max	The maximum number to return

Returns: The value if it was in range, otherwise min or max .

◆ Clamp() [2/4]

static double OmegaEngine.MathUtils.Clamp	(	this double	value,
		double	min = `0`,
		double	max = `1`
	)

inlinestatic

Makes a value stay within a certain range

Parameters

value	The number to clamp
min	The minimum number to return
max	The maximum number to return

Returns: The value if it was in range, otherwise min or max .

◆ Clamp() [3/4]

static float OmegaEngine.MathUtils.Clamp	(	this float	value,
		float	min = `0`,
		float	max = `1`
	)

inlinestatic

Makes a value stay within a certain range

Parameters

value	The number to clamp
min	The minimum number to return
max	The maximum number to return

Returns: The value if it was in range, otherwise min or max .

◆ Clamp() [4/4]

static int OmegaEngine.MathUtils.Clamp	(	this int	value,
		int	min = `0`,
		int	max = `1`
	)

inlinestatic

Makes a value stay within a certain range

Parameters

value	The number to clamp
min	The minimum number to return
max	The maximum number to return

Returns: The value if it was in range, otherwise min or max .

◆ DegreeToRadian() [1/2]

static float OmegaEngine.MathUtils.DegreeToRadian ( this float value )

static

Converts an angle in degrees to radians

Parameters

value The angle in degrees

Returns: The angle in radians

◆ DegreeToRadian() [2/2]

static double OmegaEngine.MathUtils.DegreeToRadian ( this double value )

static

Converts an angle in degrees to radians

Parameters

value The angle in degrees

Returns: The angle in radians

◆ Factorial()

static double OmegaEngine.MathUtils.Factorial ( int n )

inlinestatic

Calculates the factorial of n (n!)

Parameters

n	A value between 0 and 32768

Values between n=0 and n=16 have been pre-calculated and are therefor very fast

◆ GaussKernel()

static double [] OmegaEngine.MathUtils.GaussKernel	(	double	sigma,
		int	kernelSize
	)

inlinestatic

Generates a Gaussian kernel.

Parameters

sigma	The standard deviation of the Gaussian distribution.
kernelSize	The size of the kernel. Should be an uneven number.

◆ InterpolateTrigonometric() [1/3]

static double OmegaEngine.MathUtils.InterpolateTrigonometric	(	double	factor,
		[NotNull] params double []	values
	)

inlinestatic

Performs smooth (trigonometric) interpolation between two or more values

Parameters

factor	A factor between 0 and values .Length
values	The value checkpoints

◆ InterpolateTrigonometric() [2/3]

static float OmegaEngine.MathUtils.InterpolateTrigonometric	(	this float	factor,
		[NotNull] params float []	values
	)

inlinestatic

Performs smooth (trigonometric) interpolation between two or more values

Parameters

factor	A factor between 0 and values .Length
values	The value checkpoints

◆ InterpolateTrigonometric() [3/3]

static Vector4 OmegaEngine.MathUtils.InterpolateTrigonometric	(	float	factor,
		[NotNull] params Vector4 []	values
	)

inlinestatic

Performs smooth (trigonometric) interpolation between two or more values

Parameters

factor	A factor between 0 and values .Length
values	The value checkpoints

◆ Modulo() [1/3]

static double OmegaEngine.MathUtils.Modulo	(	this double	dividend,
		double	divisor
	)

inlinestatic

Calculates a modulus (always positive).

◆ Modulo() [2/3]

static float OmegaEngine.MathUtils.Modulo	(	this float	dividend,
		float	divisor
	)

inlinestatic

Calculates a modulus (always positive).

◆ Modulo() [3/3]

static int OmegaEngine.MathUtils.Modulo	(	this int	dividend,
		int	divisor
	)

inlinestatic

Calculates a modulus (always positive).

◆ RadianToDegree() [1/2]

static float OmegaEngine.MathUtils.RadianToDegree ( this float value )

static

Converts an angle in radians to degrees

Parameters

value The angle in radians

Returns: The angle in degrees

◆ RadianToDegree() [2/2]

static double OmegaEngine.MathUtils.RadianToDegree ( this double value )

static

Converts an angle in radians to degrees

Parameters

value The angle in radians

Returns: The angle in degrees

◆ Rotate()

static Vector2 OmegaEngine.MathUtils.Rotate	(	this Vector2	value,
		float	rotation
	)

inlinestatic

Rotates a Vector2 by rotation around the origin.

Parameters

value	The original vector.
rotation	The angle to rotate by in degrees.

Returns: The rotated Vector2.

◆ Transform() [1/2]

static BoundingBox OmegaEngine.MathUtils.Transform	(	this BoundingBox	box,
		Matrix	matrix
	)

inlinestatic

Applies a matrix transform to a bounding box.

Parameters

box	The bounding box to apply the transform to.
matrix	The transformation matrix to apply.

Returns: The transformed bounding box.

◆ Transform() [2/2]

static BoundingSphere OmegaEngine.MathUtils.Transform	(	this BoundingSphere	sphere,
		Matrix	matrix
	)

inlinestatic

Applies a matrix transform to a bounding sphere.

Parameters

sphere	The bounding sphere to apply the transform to.
matrix	The transformation matrix to apply.

Returns: The transformed bounding sphere.

◆ UnitVector()

static Vector3 OmegaEngine.MathUtils.UnitVector	(	double	inclination,
		double	azimuth
	)

static

Calculates a unit vector using spherical coordinates.

Parameters

inclination	Angle away from positive Z axis in radians. Values from 0 to Pi.
azimuth	Angle away from from positive X axis in radians. Values from 0 to 2*Pi.

◆ ViewQuaternion()

static Quaternion OmegaEngine.MathUtils.ViewQuaternion	(	this Vector3	view,
		float	roll
	)

static

Calculates a rotation quaternion for a view vector

Parameters

view	The view vector
roll	The roll value

Returns: A normalized quaternion

The documentation for this class was generated from the following file:

OmegaEngine/MathUtils.cs

Static Public Member Functions

Detailed Description

Member Function Documentation

◆ AngleToByte()

◆ Bezier() [1/2]

◆ Bezier() [2/2]

◆ BinomCoeff()

◆ ByteToAngle() [1/2]

◆ ByteToAngle() [2/2]

◆ Clamp() [1/4]

◆ Clamp() [2/4]

◆ Clamp() [3/4]

◆ Clamp() [4/4]

◆ DegreeToRadian() [1/2]

◆ DegreeToRadian() [2/2]

◆ Factorial()

◆ GaussKernel()

◆ InterpolateTrigonometric() [1/3]

◆ InterpolateTrigonometric() [2/3]

◆ InterpolateTrigonometric() [3/3]

◆ Modulo() [1/3]

◆ Modulo() [2/3]

◆ Modulo() [3/3]

◆ RadianToDegree() [1/2]

◆ RadianToDegree() [2/2]

◆ Rotate()

◆ Transform() [1/2]

◆ Transform() [2/2]

◆ UnitVector()

◆ ViewQuaternion()