Include some of common math, about counting, geometry, lerp. More...

Static Public Member Functions
static int	Sum (params int[] values)
	Count the sum of `int` values. More...

static float	Sum (params float[] values)
	Count the sum of `float` values. More...

static Vector2	Sum (params Vector2[] values)
	Count the sum of `UnityEngine.Vector2` values. More...

static Vector3	Sum (params Vector3[] values)
	Count the sum of `UnityEngine.Vector3` values. More...

static Quaternion	Sum (params Quaternion[] values)
	Count the sum of `UnityEngine.Quaternion` values. More...

static float	SumDistance (params Vector2[] values)
	Count the sum of distances between series of `UnityEngine.Vector2`. More...

static float	SumDistance (params Vector3[] values)
	Count the sum of distances between series of `UnityEngine.Vector3`. More...

static float	Average (params float[] values)
	Count the average of `float` values. More...

static Vector2	Average (params Vector2[] values)
	Count the average of `UnityEngine.Vector2` values. More...

static Vector3	Average (params Vector3[] values)
	Count the average of `UnityEngine.Vector3` values. More...

static Quaternion	Average (params Quaternion[] values)
	Count the average of `UnityEngine.Quaternion` values. More...

static Color	Average (params Color[] values)
	Count the average of `UnityEngine.Color` values. More...

static Matrix4x4	Average (params Matrix4x4[] values)
	Count the average of `UnityEngine.Matrix4x4` values. More...

static Vector2	Max (params Vector2[] values)
	Returns a vector that is made from the largest components of all vectors. More...

static Vector2	Min (params Vector2[] values)
	Returns a vector that is made from the smallest components of all vectors. More...

static Vector3	Max (params Vector3[] values)
	Returns a vector that is made from the largest components of all vectors. More...

static Vector3	Min (params Vector3[] values)
	Returns a vector that is made from the smallest components of all vectors. More...

static float	Lerp (float from, float to, float t, bool clamp=true)
	Interpolates between `from` and `to` by `t`. More...

static float	InverseLerp (float from, float to, float value, bool clamp=true)
	Calculates the Lerp parameter between of two values. More...

static Vector3	Lerp (Vector3 from, Vector3 to, float t, bool clamp=true)
	Interpolates between `from` and `to` by `t`. More...

static Vector3	Slerp (Vector3 from, Vector3 to, float t, bool clamp=true)
	Spherically interpolates between `from` and `to` by `t`. More...

static Quaternion	Lerp (Quaternion from, Quaternion to, float t, bool clamp=true)
	Interpolates between `from` and `to` by `t`. More...

static Quaternion	Slerp (Quaternion from, Quaternion to, float t, bool clamp=true)
	Spherically interpolates between `from` and `to` by `t`. More...

static Matrix4x4	Lerp (Matrix4x4 from, Matrix4x4 to, float t, bool clamp=true)
	Interpolates between `from` and `to` by `t`. More...

static Matrix4x4	Slerp (Matrix4x4 from, Matrix4x4 to, float t, bool clamp=true)
	Interpolates between `from` and `to` by `t`. More...

static Quaternion	SignQuaternion (Quaternion rotation)
	Get new rotation with the corrected sign by converting to and from euler angles. More...

static float	ProjectFactor (Vector3 point, Vector3 from, Vector3 to, bool clamp=false)
	Projects a point onto a line segment. More...

static Vector3	ProjectPoint (Vector3 point, Vector3 from, Vector3 to, bool clamp=false)
	Projects a point onto a line segment. More...

static bool	PointsInLine (Vector3 p1, Vector3 p2, Vector3 p3, float approx=0f)
	Check if 3 points lying on the same line. More...

static bool	VectorsInLine (Vector3 v1, Vector3 v2, float approx=0f)
	Check if 2 vectors lying on the same line. More...

static bool	PointsInPlane (Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float approx=0f)
	Check if 4 points lying in the same plane. More...

static bool	VectorsInPlane (Vector3 v1, Vector3 v2, Vector3 v3, float approx=0f)
	Check if 3 vectors lying in the same plane. More...

static bool	PointsToCircle (Vector3 p1, Vector3 p2, Vector3 p3, out Vector3 origin, out float radius, out Vector3 normal)
	Calculate 3 Points to a circle, `normal` vector by lhs order. More...

Detailed Description

Include some of common math, about counting, geometry, lerp.

Member Function Documentation

static int Sum ( params int[] values )

static

Count the sum of int values.

Parameters

values Values.

Returns: The sum.

static float Sum ( params float[] values )

static

Count the sum of float values.

Parameters

values Values.

Returns: The sum.

static Vector2 Sum ( params Vector2[] values )

static

Count the sum of UnityEngine.Vector2 values.

Parameters

values Values.

Returns: The sum.

static Vector3 Sum ( params Vector3[] values )

static

Count the sum of UnityEngine.Vector3 values.

Parameters

values Values.

Returns: The sum.

static Quaternion Sum ( params Quaternion[] values )

static

Count the sum of UnityEngine.Quaternion values.

Parameters

values Values.

Returns: The sum.

static float SumDistance ( params Vector2[] values )

static

Count the sum of distances between series of UnityEngine.Vector2.

Parameters

values Values.

Returns: The sum.

static float SumDistance ( params Vector3[] values )

static

Count the sum of distances between series of UnityEngine.Vector3.

Parameters

values Values.

Returns: The sum.

static float Average ( params float[] values )

static

Count the average of float values.

Parameters

values Values.

Returns: The average.

static Vector2 Average ( params Vector2[] values )

static

Count the average of UnityEngine.Vector2 values.

Parameters

values Values.

Returns: The average.

static Vector3 Average ( params Vector3[] values )

static

Count the average of UnityEngine.Vector3 values.

Parameters

values Values.

Returns: The average.

static Quaternion Average ( params Quaternion[] values )

static

Count the average of UnityEngine.Quaternion values.

Use average of forward and upward to make smooth.

Parameters

values Values.

Returns: The average.

static Color Average ( params Color[] values )

static

Count the average of UnityEngine.Color values.

Parameters

values Values.

Returns: The average.

static Matrix4x4 Average ( params Matrix4x4[] values )

static

Count the average of UnityEngine.Matrix4x4 values.

Parameters

values Values.

Returns: The average.

static Vector2 Max ( params Vector2[] values )

static

Returns a vector that is made from the largest components of all vectors.

Parameters

values Values.

Returns: The max vector.

static Vector2 Min ( params Vector2[] values )

static

Returns a vector that is made from the smallest components of all vectors.

Parameters

values Values.

Returns: The min vector.

static Vector3 Max ( params Vector3[] values )

static

Returns a vector that is made from the largest components of all vectors.

Parameters

values Values.

Returns: The max vector.

static Vector3 Min ( params Vector3[] values )

static

Returns a vector that is made from the smallest components of all vectors.

Parameters

values Values.

Returns: The min vector.

static float Lerp	(	float	from,
		float	to,
		float	t,
		bool	clamp = `true`
	)

static

Interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static float InverseLerp	(	float	from,
		float	to,
		float	value,
		bool	clamp = `true`
	)

static

Calculates the Lerp parameter between of two values.

Return zero if value from is the same as to.

Parameters

from	Value from.
to	Value to.
value	Value.
clamp	If set to `true` clamp.

Returns: The lerp time.

static Vector3 Lerp	(	Vector3	from,
		Vector3	to,
		float	t,
		bool	clamp = `true`
	)

static

Interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Vector3 Slerp	(	Vector3	from,
		Vector3	to,
		float	t,
		bool	clamp = `true`
	)

static

Spherically interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Quaternion Lerp	(	Quaternion	from,
		Quaternion	to,
		float	t,
		bool	clamp = `true`
	)

static

Interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Quaternion Slerp	(	Quaternion	from,
		Quaternion	to,
		float	t,
		bool	clamp = `true`
	)

static

Spherically interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Matrix4x4 Lerp	(	Matrix4x4	from,
		Matrix4x4	to,
		float	t,
		bool	clamp = `true`
	)

static

Interpolates between from and to by t.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Matrix4x4 Slerp	(	Matrix4x4	from,
		Matrix4x4	to,
		float	t,
		bool	clamp = `true`
	)

static

Interpolates between from and to by t.

Spherically interpolates axes of matrix., but position and last row linearly.

Parameters

from	Value from.
to	Value to.
t	Time.
clamp	If set to `true` clamp.

Returns: The lerp result.

static Quaternion SignQuaternion ( Quaternion rotation )

static

Get new rotation with the corrected sign by converting to and from euler angles.

Rotations present the same from different source might have contrast sign. Use this to get the same signed rotation with the same present.

It might have negative w from Transform.rotation.
It might have negative w from Quaternion.LookRotation().
It always has positive w from Random.rotation.

Parameters

rotation Rotation.

Returns: The corrected rotation.

static float ProjectFactor	(	Vector3	point,
		Vector3	from,
		Vector3	to,
		bool	clamp = `false`
	)

static

Projects a point onto a line segment.

Return 0 if the point on the begin of the segment, return 1 if on the end.

Parameters

point	Point.
from	Segment from.
to	Segment to.
clamp	If set to `true` clamp between 0 and 1.

Returns: The lerp factor.

static Vector3 ProjectPoint	(	Vector3	point,
		Vector3	from,
		Vector3	to,
		bool	clamp = `false`
	)

static

Projects a point onto a line segment.

Parameters

point	Point.
from	Segment from.
to	Segment to.
clamp	If set to `true` clamp the point locate on the segment.

Returns: The point on line.

static bool PointsInLine	(	Vector3	p1,
		Vector3	p2,
		Vector3	p3,
		float	approx = `0f`
	)

static

Check if 3 points lying on the same line.

Parameters

p1	Point 1.
p2	Point 2.
p3	Point 3.
approx	Approx range.

Returns: true, if points lying on the same line.

static bool VectorsInLine	(	Vector3	v1,
		Vector3	v2,
		float	approx = `0f`
	)

static

Check if 2 vectors lying on the same line.

Parameters

v1	Vector 1.
v2	Vector 2.
approx	Approx range.

Returns: true, if vectors lying on the same line.

static bool PointsInPlane	(	Vector3	p0,
		Vector3	p1,
		Vector3	p2,
		Vector3	p3,
		float	approx = `0f`
	)

static

Check if 4 points lying in the same plane.

Parameters

p0	Point 0.
p1	Point 1.
p2	Point 2.
p3	Point 3.
approx	Approx range.

Returns: true, if points lying in the same plane.

static bool VectorsInPlane	(	Vector3	v1,
		Vector3	v2,
		Vector3	v3,
		float	approx = `0f`
	)

static

Check if 3 vectors lying in the same plane.

Parameters

v1	Vector 1.
v2	Vector 2.
v3	Vector 3.
approx	Approx range.

Returns: true, if vectors lying in the same plane.

static bool PointsToCircle	(	Vector3	p1,
		Vector3	p2,
		Vector3	p3,
		out Vector3	origin,
		out float	radius,
		out Vector3	normal
	)

static

Calculate 3 Points to a circle, normal vector by lhs order.

Parameters

p1	Point 1.
p2	Point 2.
p3	Point 3.
origin	Origin point.
radius	Radius.
normal	Normal vector.

Returns: false, if points on the same line, not able to make a circle.

Static Public Member Functions

Detailed Description

Member Function Documentation