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

Static Public Member Functions
static float	Abs (float a)

static int	Abs (int a)

static int	Bit (int a, int b)
	Returns bit number b from 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 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 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.

Detailed Description

Utility functions for working with numbers, lines and vectors.

See Also: Polygon

Member Function Documentation

static int Bit	(	int	a,
		int	b
	)

static

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

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

static

Returns a hash value for a integer vector.

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 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.

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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

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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

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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

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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

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

/Users/aron/Unity/AstarPathfindingGIT/Assets/AstarPathfindingProject/Core/AstarMath.cs

Static Public Member Functions

Detailed Description

Member Function Documentation