Utility functions for working with numbers, lines and vectors. More...

Detailed Description

Utility functions for working with numbers, lines and vectors.

See Also: Polygon

Static Public Member Functions
static float	Abs (float a)

static int	Abs (int a)

static float	Clamp (float a, float b, float c)

static int	Clamp (int a, int b, int c)

static float	Clamp01 (float a)

static int	Clamp01 (int a)

static int	ComputeVertexHash (int x, int y, int z)
	Returns a hash value for a integer vector.

static Vector3	CubicBezier (Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
	Returns a point on a cubic bezier curve.

static float	DistancePointSegment (int x, int z, int px, int pz, int qx, int qz)
	Returns the approximate shortest squared distance between x,z and the line p-q.

static float	DistancePointSegment (Int3 a, Int3 b, Int3 p)
	Returns the approximate shortest squared distance between x,z and the line p-q.

static float	DistancePointSegment2 (int x, int z, int px, int pz, int qx, int qz)
	Returns the distance between x,z and the line p-q.

static float	DistancePointSegment2 (Vector3 a, Vector3 b, Vector3 p)
	Returns the distance between c and the line a-b.

static float	DistancePointSegmentStrict (Vector3 a, Vector3 b, Vector3 p)
	Returns the squared distance between c and the line a-b.

static string	FormatBytes (int bytes)
	Returns a nicely formatted string for the number of bytes (kB, MB, GB etc).

static string	FormatBytesBinary (int bytes)
	Returns a nicely formatted string for the number of bytes (KiB, MiB, GiB etc).

static float	Hermite (float start, float end, float value)
	Returns a point on a hermite curve.

static Color	IntToColor (int i, float a)
	Returns a nice color from int i with alpha a.

static float	Lerp (float a, float b, float t)

static float	MagnitudeXZ (Vector3 a, Vector3 b)
	Distance between two points on the XZ plane.

static float	MapTo (float startMin, float startMax, float value)
	Maps a value between startMin and startMax to be between 0 and 1.

static float	MapTo (float startMin, float startMax, float targetMin, float targetMax, float value)
	Maps a value between startMin and startMax to be between targetMin and targetMax.

static float	MapToRange (float targetMin, float targetMax, float value)
	Maps a value (0...1) to be between targetMin and targetMax.

static float	Max (float a, float b)

static int	Max (int a, int b)

static uint	Max (uint a, uint b)

static ushort	Max (ushort a, ushort b)

static float	Min (float a, float b)

static int	Min (int a, int b)

static uint	Min (uint a, uint b)

static Vector3	NearestPoint (Vector3 lineStart, Vector3 lineEnd, Vector3 point)
	Returns the closest point on the line.

static float	NearestPointFactor (Vector3 lineStart, Vector3 lineEnd, Vector3 point)

static float	NearestPointFactor (Int3 lineStart, Int3 lineEnd, Int3 point)
	Factor of the nearest point on the segment.

static float	NearestPointFactor (Int2 lineStart, Int2 lineEnd, Int2 point)
	Factor of the nearest point on the segment.

static Vector3	NearestPointStrict (Vector3 lineStart, Vector3 lineEnd, Vector3 point)
	Returns the closest point on the line segment.

static Vector3	NearestPointStrictXZ (Vector3 lineStart, Vector3 lineEnd, Vector3 point)
	Returns the closest point on the line segment on the XZ plane.

static int	Repeat (int i, int n)

static int	RoundToInt (float v)

static int	RoundToInt (double v)

static float	Sign (float a)

static int	Sign (int a)

static float	SqrMagnitudeXZ (Vector3 a, Vector3 b)
	Squared distance between two points on the XZ plane.

Static Private Member Functions
static int	Bit (int a, int b)
	Returns bit number b from int a.

Member Function Documentation

static float Abs ( float a )

static

static int Abs ( int a )

static

static int Bit	(	int	a,
		int	b
	)

staticprivate

Returns bit number b from int a.

The bit number is zero based. Relevant b values are from 0 to 31
Equals to (a >> b) & 1

static float Clamp	(	float	a,
		float	b,
		float	c
	)

static

static int Clamp	(	int	a,
		int	b,
		int	c
	)

static

static float Clamp01 ( float a )

static

static int Clamp01 ( int a )

static

static int ComputeVertexHash	(	int	x,
		int	y,
		int	z
	)

static

Returns a hash value for a integer vector.

Author: Code got from the internet

static Vector3 CubicBezier	(	Vector3	p0,
		Vector3	p1,
		Vector3	p2,
		Vector3	p3,
		float	t
	)

static

Returns a point on a cubic bezier curve.

t is clamped between 0 and 1

static float DistancePointSegment	(	int	x,
		int	z,
		int	px,
		int	pz,
		int	qx,
		int	qz
	)

static

Returns the approximate shortest squared distance between x,z and the line p-q.

The line is considered infinite. This function is not entirely exact, but it is about twice as fast as DistancePointSegment2.

static float DistancePointSegment	(	Int3	a,
		Int3	b,
		Int3	p
	)

static

Returns the approximate shortest squared distance between x,z and the line p-q.

The line is considered infinite. This function is not entirely exact, but it is about twice as fast as DistancePointSegment2.

static float DistancePointSegment2	(	int	x,
		int	z,
		int	px,
		int	pz,
		int	qx,
		int	qz
	)

static

Returns the distance between x,z and the line p-q.

The line is considered infinite.

static float DistancePointSegment2	(	Vector3	a,
		Vector3	b,
		Vector3	p
	)

static

Returns the distance between c and the line a-b.

The line is considered infinite.

static float DistancePointSegmentStrict	(	Vector3	a,
		Vector3	b,
		Vector3	p
	)

static

Returns the squared distance between c and the line a-b.

The line is not considered infinite.

static string FormatBytes ( int bytes )

static

Returns a nicely formatted string for the number of bytes (kB, MB, GB etc).

Uses decimal values, not binary ones

See Also: FormatBytesBinary

static string FormatBytesBinary ( int bytes )

static

Returns a nicely formatted string for the number of bytes (KiB, MiB, GiB etc).

Uses decimal names (KB, Mb - 1000) but calculates using binary values (KiB, MiB - 1024)

static float Hermite	(	float	start,
		float	end,
		float	value
	)

static

Returns a point on a hermite curve.

Slow start and slow end, fast in the middle

static Color IntToColor	(	int	i,
		float	a
	)

static

Returns a nice color from int i with alpha a.

Got code from the open-source Recast project, works really good
Seems like there are only 64 possible colors from studying the code

static float Lerp	(	float	a,
		float	b,
		float	t
	)

static

static float MagnitudeXZ	(	Vector3	a,
		Vector3	b
	)

static

Distance between two points on the XZ plane.

static float MapTo	(	float	startMin,
		float	startMax,
		float	value
	)

static

Maps a value between startMin and startMax to be between 0 and 1.

static float MapTo	(	float	startMin,
		float	startMax,
		float	targetMin,
		float	targetMax,
		float	value
	)

static

Maps a value between startMin and startMax to be between targetMin and targetMax.

static float MapToRange	(	float	targetMin,
		float	targetMax,
		float	value
	)

static

Maps a value (0...1) to be between targetMin and targetMax.

static float Max	(	float	a,
		float	b
	)

static

static int Max	(	int	a,
		int	b
	)

static

static uint Max	(	uint	a,
		uint	b
	)

static

static ushort Max	(	ushort	a,
		ushort	b
	)

static

static float Min	(	float	a,
		float	b
	)

static

static int Min	(	int	a,
		int	b
	)

static

static uint Min	(	uint	a,
		uint	b
	)

static

static Vector3 NearestPoint	(	Vector3	lineStart,
		Vector3	lineEnd,
		Vector3	point
	)

static

Returns the closest point on the line.

The line is treated as infinite.

See Also: NearestPointStrict

static float NearestPointFactor	(	Vector3	lineStart,
		Vector3	lineEnd,
		Vector3	point
	)

static

static float NearestPointFactor	(	Int3	lineStart,
		Int3	lineEnd,
		Int3	point
	)

static

Factor of the nearest point on the segment.

Returned value is in the range [0,1] if the point lies on the segment otherwise it just lies on the line. The closest point can be got by (end-start)*factor + start;

static float NearestPointFactor	(	Int2	lineStart,
		Int2	lineEnd,
		Int2	point
	)

static

Factor of the nearest point on the segment.

Returned value is in the range [0,1] if the point lies on the segment otherwise it just lies on the line. The closest point can be got by (end-start)*factor + start;

static Vector3 NearestPointStrict	(	Vector3	lineStart,
		Vector3	lineEnd,
		Vector3	point
	)

static

Returns the closest point on the line segment.

The line is NOT treated as infinite.

See Also: NearestPoint

static Vector3 NearestPointStrictXZ	(	Vector3	lineStart,
		Vector3	lineEnd,
		Vector3	point
	)

static

Returns the closest point on the line segment on the XZ plane.

The line is NOT treated as infinite.

See Also: NearestPoint

static int Repeat	(	int	i,
		int	n
	)

static

static int RoundToInt ( float v )

static

static int RoundToInt ( double v )

static

static float Sign ( float a )

static

static int Sign ( int a )

static

static float SqrMagnitudeXZ	(	Vector3	a,
		Vector3	b
	)

static

Squared distance between two points on the XZ plane.

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

/Users/arong/Unity/a-pathfinding-project/Assets/AstarPathfindingProject/Core/AstarMath.cs

Detailed Description

Static Public Member Functions

Static Private Member Functions

Member Function Documentation