Class AstarMath

Vector3 CubicBezier (

Vector3	p0
Vector3	p1
Vector3	p2
Vector3	p3
float	t

)

Returns a point on a cubic bezier curve.

t is clamped between 0 and 1

float DistancePointSegment (

Int3	a
Int3	b
Int3	p

)

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.

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.

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

float DistancePointSegmentStrict (

Vector3	a
Vector3	b
Vector3	p

)

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

The line is not considered infinite.

string FormatBytesBinary (

int

bytes

)

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)

Color HSVToRGB (

float	h
float	s
float	v

)

Converts an HSV color to an RGB color.

According to the algorithm described at http://en.wikipedia.org/wiki/HSL_and_HSV

Color IntToColor (

int	i
float	a

)

Returns a nice color from int i with alpha a.

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

float MapTo (

float	startMin
float	startMax
float	value

)

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

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.

Vector3 NearestPoint (

Vector3	lineStart
Vector3	lineEnd
Vector3	point

)

Returns the closest point on the line.

The line is treated as infinite.

float NearestPointFactor (

Vector3	lineStart
Vector3	lineEnd
Vector3	point

)

float NearestPointFactor (

Int2	lineStart
Int2	lineEnd
Int2	point

)

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;

float NearestPointFactor (

Int3	lineStart
Int3	lineEnd
Int3	point

)

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;

Vector3 NearestPointStrict (

Vector3	lineStart
Vector3	lineEnd
Vector3	point

)

Returns the closest point on the line segment.

The line is NOT treated as infinite.

Vector3 NearestPointStrictXZ (

Vector3	lineStart
Vector3	lineEnd
Vector3	point

)

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

The line is NOT treated as infinite.

float SqrMagnitudeXZ (

Vector3	a
Vector3	b

)

Squared distance between two points on the XZ plane.

int Bit (

int	a
int	b

)

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

int Abs (

int

a

)

float Abs (

float

a

)

int Clamp (

int	a
int	b
int	c

)

float Clamp (

float	a
float	b
float	c

)

int Clamp01 (

int

a

)

float Clamp01 (

float

a

)

int ComputeVertexHash (

int	x
int	y
int	z

)

float DistancePointSegment2 (

Vector3	a
Vector3	b
Vector3	p

)

float DistancePointSegment2 (

int	x
int	z
int	px
int	pz
int	qx
int	qz

)

string FormatBytes (

int

bytes

)

float Hermite (

float	start
float	end
float	value

)

float Lerp (

float	a
float	b
float	t

)

float MagnitudeXZ (

Vector3	a
Vector3	b

)

float MapToRange (

float	targetMin
float	targetMax
float	value

)

int Max (

int	a
int	b

)

float Max (

float	a
float	b

)

uint Max (

uint	a
uint	b

)

ushort Max (

ushort	a
ushort	b

)

uint Min (

uint	a
uint	b

)

int Min (

int	a
int	b

)

float Min (

float	a
float	b

)

int Repeat (

int	i
int	n

)

int RoundToInt (

float

v

)

int RoundToInt (

double

v

)

float Sign (

float

a

)

int Sign (

int

a

)