core.math
Class Vec2Transform

java.lang.Object
  core.math.Vec2Transform

public class Vec2Transform

extends java.lang.Object

Stores and operates on a 2-dimensional affine transformation. The transformation is given by = < m, o > s.t. v' = m*v + o.

Field Summary

protected Mat2	matrix matrix = m, the linear transformation
protected Vec2	origin origin = o, the translation

Constructor Summary

Vec2Transform(Vec2 origin, double scale)
Constructs a new Vec2Transform = < scale*I, origin >

Vec2Transform(Vec2 origin, Mat2 matrix)
Constructs a new Vec2Transform = < matrix, origin >

Vec2Transform(Vec2Transform transform)
Constructs a new Vec2Transform = 'transform'

Vec2Transform(Vec2 origin, Vec2 xaxis, Vec2 yaxis)
Constructs a new Vec2Transform = < [ xaxis, yaxis ], origin >

Method Summary

Vec2Transform	concatenate(Vec2Transform transform) Returns: a new Vec2Transform that is the concatenation of 'this' followed by 'transform'
double	getScale() Returns: the scaling of the transform, assuming it is rigid
Vec2Transform	invert() Returns: a new Vec2Transform that is the inverse of 'this'
boolean	isRigid() Returns: true if 'this' is a rigid transformation, otherwise false
boolean	isRigidScaled() Returns: true if 'this' is a scaled rigid transformation, else false
Vec2Transform	reflect(Vec2 d) Returns: a new Vec2Transform that is 'this' reflected across 'd'
Vec2Transform	rotate(double theta) Returns: a new Vec2Transform that is 'this' rotated counter-clockwise by 'theta'
Vec2Transform	scale(double scale) Returns: a new Vec2Transform that is 'this' scaled by 'scale'
Vec2Transform	translate(Vec2 origin) Returns: a new Vec2Transform that is 'this' translated by 'origin'
Vec2	v(Vec2 p) Returns: a new Vec2 that is 'p' transformed by 'this'
Vec2	V(Vec2 p) Transforms 'p' y 'this' Returns: resulting 'p'
Vec2	V(Vec2 p, Vec2 v) Sets v to the transformation of 'p' by 'this' Returns: resulting 'v'

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

matrix

protected Mat2 matrix

matrix = m, the linear transformation

origin

protected Vec2 origin

origin = o, the translation

Constructor Detail

Vec2Transform

public Vec2Transform(Vec2 origin,
                     double scale)

Constructs a new Vec2Transform = < scale*I, origin >

Vec2Transform

public Vec2Transform(Vec2 origin,
                     Mat2 matrix)

Constructs a new Vec2Transform = < matrix, origin >

Vec2Transform

public Vec2Transform(Vec2 origin,
                     Vec2 xaxis,
                     Vec2 yaxis)

Constructs a new Vec2Transform = < [ xaxis, yaxis ], origin >

Vec2Transform

public Vec2Transform(Vec2Transform transform)

Constructs a new Vec2Transform = 'transform'

Method Detail

invert

public Vec2Transform invert()

Returns: a new Vec2Transform that is the inverse of 'this'

concatenate

public Vec2Transform concatenate(Vec2Transform transform)

Returns: a new Vec2Transform that is the concatenation of 'this' followed by 'transform'

translate

public Vec2Transform translate(Vec2 origin)

Returns: a new Vec2Transform that is 'this' translated by 'origin'

scale

public Vec2Transform scale(double scale)

Returns: a new Vec2Transform that is 'this' scaled by 'scale'

rotate

public Vec2Transform rotate(double theta)

Returns: a new Vec2Transform that is 'this' rotated counter-clockwise by 'theta'

reflect

public Vec2Transform reflect(Vec2 d)

Returns: a new Vec2Transform that is 'this' reflected across 'd'

isRigid

public boolean isRigid()

Returns: true if 'this' is a rigid transformation, otherwise false

isRigidScaled

public boolean isRigidScaled()

Returns: true if 'this' is a scaled rigid transformation, else false

getScale

public double getScale()

Returns: the scaling of the transform, assuming it is rigid

v

public Vec2 v(Vec2 p)

Returns: a new Vec2 that is 'p' transformed by 'this'

V

public Vec2 V(Vec2 p)

Transforms 'p' y 'this' Returns: resulting 'p'

V

public Vec2 V(Vec2 p,
              Vec2 v)

Sets v to the transformation of 'p' by 'this' Returns: resulting 'v'