Some extensions to the math/vector lib. More...

Classes
class	RandGenerator
	Wrap System.Random and extend with vector random generation. More...
Static Public Member Functions
static Matrix4	LookAt (Vector3 eye, Vector3 center, Vector3 _Up)
	Compute a lookat matrix for the camera.
static void	TranslationRotationScale (ref Matrix3 ret, Vector2 translation, Vector2 rotation, Vector2 scale)
	Fast build of a Matrix3 TRS matrix.
static float	Det (Vector2 value1, Vector2 value2)
	Return the determinant formed by 2 vectors.
static float	Sign (float x)
	Return the sign of x (returns 0.0f is x=0.0f).
static Vector2	Perp (Vector2 value)
	Return value rotated by pi/2.
static Vector4	SetAlpha (Vector4 value, float w)
	Set alpha (can be inlined in math expressions).
static float	SafeAcos (float x)
	SafeAcos checks that x is in [-1,1], and if x is off by an epsilon it clamps it.
static float	Angle (Vector2 value)
	Return the absolute 2d angle formed by (1,0) and value, in range -pi,pi.
static Vector2	Rotate (Vector2 point, float angle, Vector2 pivot)
	Rotate 'point' around rotation center 'pivot' by an angle 'angle' (radians).
static float	Deg2Rad (float value)
	Degree to radians.
static float	Rad2Deg (float value)
	Radians to degrees.
static Vector2	Deg2Rad (Vector2 value)
	Element wise degree to radians.
static Vector2	Rad2Deg (Vector2 value)
	Element wise radians to degrees.
static float	Lerp (float a, float b, float x)
	Linear interpolation.
static Vector2	Lerp (Vector2 a, Vector2 b, float x)
	Linear interpolation.
static Vector3	Lerp (Vector3 a, Vector3 b, float x)
	Linear interpolation.
static Vector4	Lerp (Vector4 a, Vector4 b, float x)
	Linear interpolation.
static Vector2	LerpUnitVectors (Vector2 va, Vector2 vb, float x)
	Lerp 2 (assumed) unit vectors (shortest path).
static float	LerpAngles (float a, float b, float x)
	Lerp 2 angle values (shortest path).
static float	Sin (uint period, float phase, uint mstime)
	A "safe" sine function taking uint values.
static float	Sin (ulong period, float phase, ulong mstime)
	A "safe" sine function taking ulong values.
static float	Linear (float x)
	This is just f(x)=x, named so that code is more explicit when it is passed as a tween function.
static float	PowerfulScurve (float x, float p1, float p2)
	A very controlable s curve, lets you do polynomial ease in/out curves with little code.
static float	PowEaseIn (float x, float p)
	Ease in curve using Pow.
static float	PowEaseOut (float x, float p)
	Ease out curve using Pow.
static float	PowEaseInOut (float x, float p)
	PowEaseIn/PowEaseOut mirrored around 0.5,0.5.
static float	ExpEaseOut (float x, float a)
	Ease out curve using a 1-exp(-a*x) exponential, but normalized so that we reach 1 when x=1.
static float	ExpEaseIn (float x, float a)
	Ease in curve using an exponential.
static float	BackEaseIn (float x, float a)
	BackEaseIn function (see http://www.robertpenner.com)
static float	BackEaseOut (float x, float a)
	BackEaseOut function (see http://www.robertpenner.com)
static float	BackEaseInOut (float x, float p)
	BackEaseIn/BackEaseOut mirrored around 0.5,0.5.
static float	Impulse (float x, float b)
	Impulse function (source Inigo Quilez).
static float	ShockWave (float d, float time, float wave_half_width, float wave_speed, float wave_fade, float d_scale)
	Travelling wave function.
static int	Log2 (int v)
	Return the log of v in base 2.
static bool	IsPowerOf2 (int i)
	Return true if 'i' is a power of 2.
static int	GreatestOrEqualPowerOf2 (int i)
	Return the closest greater or equal power of 2.
static Vector2	ClosestSegmentPoint (Vector2 P, Vector2 A, Vector2 B)
	Return the closest point to P that's on segment [A,B].
Static Public Attributes
static Vector2i	_00i = new Vector2i(0,0)
static Vector2i	_10i = new Vector2i(1,0)
static Vector2i	_01i = new Vector2i(0,1)
static Vector2i	_11i = new Vector2i(1,1)
static Vector3i	_000i = new Vector3i(0,0,0)
static Vector3i	_100i = new Vector3i(1,0,0)
static Vector3i	_010i = new Vector3i(0,1,0)
static Vector3i	_110i = new Vector3i(1,1,0)
static Vector3i	_001i = new Vector3i(0,0,1)
static Vector3i	_101i = new Vector3i(1,0,1)
static Vector3i	_011i = new Vector3i(0,1,1)
static Vector3i	_111i = new Vector3i(1,1,1)
static Vector2	_00 = new Vector2(0.0f,0.0f)
static Vector2	_10 = new Vector2(1.0f,0.0f)
static Vector2	_01 = new Vector2(0.0f,1.0f)
static Vector2	_11 = new Vector2(1.0f,1.0f)
static Vector3	_000 = new Vector3(0.0f,0.0f,0.0f)
static Vector3	_100 = new Vector3(1.0f,0.0f,0.0f)
static Vector3	_010 = new Vector3(0.0f,1.0f,0.0f)
static Vector3	_110 = new Vector3(1.0f,1.0f,0.0f)
static Vector3	_001 = new Vector3(0.0f,0.0f,1.0f)
static Vector3	_101 = new Vector3(1.0f,0.0f,1.0f)
static Vector3	_011 = new Vector3(0.0f,1.0f,1.0f)
static Vector3	_111 = new Vector3(1.0f,1.0f,1.0f)
static Vector4	_0000 = new Vector4(0.0f,0.0f,0.0f,0.0f)
static Vector4	_1000 = new Vector4(1.0f,0.0f,0.0f,0.0f)
static Vector4	_0100 = new Vector4(0.0f,1.0f,0.0f,0.0f)
static Vector4	_1100 = new Vector4(1.0f,1.0f,0.0f,0.0f)
static Vector4	_0010 = new Vector4(0.0f,0.0f,1.0f,0.0f)
static Vector4	_1010 = new Vector4(1.0f,0.0f,1.0f,0.0f)
static Vector4	_0110 = new Vector4(0.0f,1.0f,1.0f,0.0f)
static Vector4	_1110 = new Vector4(1.0f,1.0f,1.0f,0.0f)
static Vector4	_0001 = new Vector4(0.0f,0.0f,0.0f,1.0f)
static Vector4	_1001 = new Vector4(1.0f,0.0f,0.0f,1.0f)
static Vector4	_0101 = new Vector4(0.0f,1.0f,0.0f,1.0f)
static Vector4	_1101 = new Vector4(1.0f,1.0f,0.0f,1.0f)
static Vector4	_0011 = new Vector4(0.0f,0.0f,1.0f,1.0f)
static Vector4	_1011 = new Vector4(1.0f,0.0f,1.0f,1.0f)
static Vector4	_0111 = new Vector4(0.0f,1.0f,1.0f,1.0f)
static Vector4	_1111 = new Vector4(1.0f,1.0f,1.0f,1.0f)
static Vector4	UV_TransformIdentity = new Vector4( 0.0f, 0.0f, 1.0f, 1.0f )
	UV transform stored as (offset, scale) in a Vector4.
static Vector4	UV_TransformFlipV = new Vector4( 0.0f, 1.0f, 1.0f, -1.0f )
	UV transform stored as (offset, scale) in a Vector4 UV_TransformFlipV v into 1-v, and leaves u unchanged.
Properties
static float	Pi `[get]`
static float	TwicePi `[get]`
	2pi
static float	HalfPi `[get]`
	pi/2

Detailed Description

Some extensions to the math/vector lib.

Member Function Documentation

static Matrix4 LookAt	(	Vector3	eye,
		Vector3	center,
		Vector3	_Up
	)		`[static]`

Compute a lookat matrix for the camera.

The vector (eye, center) maps to -z (since OpenGL looks downward z), and up maps to y.

static float PowEaseInOut	(	float	x,
		float	p
	)		`[static]`

PowEaseIn/PowEaseOut mirrored around 0.5,0.5.

Same exponent in and out.

static float PowerfulScurve	(	float	x,
		float	p1,
		float	p2
	)		`[static]`

A very controlable s curve, lets you do polynomial ease in/out curves with little code.

Parameters:

x	Asssumed to be in 0,1.
p1	Controls the ease in exponent (if >1).
p2	Controls the ease out exponent (if >1.,(p1,p2)=(1,1) just gives f(x)=x

Member Data Documentation

Vector2 _00 = new Vector2(0.0f,0.0f) [static]

Vector3 _000 = new Vector3(0.0f,0.0f,0.0f) [static]

Vector4 _0000 = new Vector4(0.0f,0.0f,0.0f,0.0f) [static]

Vector4 _0001 = new Vector4(0.0f,0.0f,0.0f,1.0f) [static]

Vector3i _000i = new Vector3i(0,0,0) [static]

Vector3 _001 = new Vector3(0.0f,0.0f,1.0f) [static]

Vector4 _0010 = new Vector4(0.0f,0.0f,1.0f,0.0f) [static]

Vector4 _0011 = new Vector4(0.0f,0.0f,1.0f,1.0f) [static]

Vector3i _001i = new Vector3i(0,0,1) [static]

Vector2i _00i = new Vector2i(0,0) [static]

Vector2 _01 = new Vector2(0.0f,1.0f) [static]

Vector3 _010 = new Vector3(0.0f,1.0f,0.0f) [static]

Vector4 _0100 = new Vector4(0.0f,1.0f,0.0f,0.0f) [static]

Vector4 _0101 = new Vector4(0.0f,1.0f,0.0f,1.0f) [static]

Vector3i _010i = new Vector3i(0,1,0) [static]

Vector3 _011 = new Vector3(0.0f,1.0f,1.0f) [static]

Vector4 _0110 = new Vector4(0.0f,1.0f,1.0f,0.0f) [static]

Vector4 _0111 = new Vector4(0.0f,1.0f,1.0f,1.0f) [static]

Vector3i _011i = new Vector3i(0,1,1) [static]

Vector2i _01i = new Vector2i(0,1) [static]

Vector2 _10 = new Vector2(1.0f,0.0f) [static]

Vector3 _100 = new Vector3(1.0f,0.0f,0.0f) [static]

Vector4 _1000 = new Vector4(1.0f,0.0f,0.0f,0.0f) [static]

Vector4 _1001 = new Vector4(1.0f,0.0f,0.0f,1.0f) [static]

Vector3i _100i = new Vector3i(1,0,0) [static]

Vector3 _101 = new Vector3(1.0f,0.0f,1.0f) [static]

Vector4 _1010 = new Vector4(1.0f,0.0f,1.0f,0.0f) [static]

Vector4 _1011 = new Vector4(1.0f,0.0f,1.0f,1.0f) [static]

Vector3i _101i = new Vector3i(1,0,1) [static]

Vector2i _10i = new Vector2i(1,0) [static]

Vector2 _11 = new Vector2(1.0f,1.0f) [static]

Vector3 _110 = new Vector3(1.0f,1.0f,0.0f) [static]

Vector4 _1100 = new Vector4(1.0f,1.0f,0.0f,0.0f) [static]

Vector4 _1101 = new Vector4(1.0f,1.0f,0.0f,1.0f) [static]

Vector3i _110i = new Vector3i(1,1,0) [static]

Vector3 _111 = new Vector3(1.0f,1.0f,1.0f) [static]

Vector4 _1110 = new Vector4(1.0f,1.0f,1.0f,0.0f) [static]

Vector4 _1111 = new Vector4(1.0f,1.0f,1.0f,1.0f) [static]

Vector3i _111i = new Vector3i(1,1,1) [static]

Vector2i _11i = new Vector2i(1,1) [static]

Vector4 UV_TransformIdentity = new Vector4( 0.0f, 0.0f, 1.0f, 1.0f ) [static]

UV transform stored as (offset, scale) in a Vector4.

offset=0,0 scale=1,1 means identity.

Property Documentation

float HalfPi [static, get]

pi/2

float Pi [static, get]

float TwicePi [static, get]

2pi

Math Class Reference

Classes

Static Public Member Functions

Static Public Attributes

Properties

Detailed Description

Member Function Documentation

Member Data Documentation

Property Documentation