org.opensourcephysics.numerics
Class Matrix2DTransformation

java.lang.Object
  org.opensourcephysics.numerics.Matrix2DTransformation

All Implemented Interfaces:

java.lang.Cloneable, MatrixTransformation, Transformation

public class Matrix2DTransformation
extends java.lang.Object
implements MatrixTransformation

Matrix2DTransformation implements 2D affine transformations

Nested Class Summary

protected static class

Matrix2DTransformation.Matrix2DTransformationLoader

Constructor Summary

Matrix2DTransformation(java.awt.geom.AffineTransform transform)
Constructor Matrix2DTransformation

Matrix2DTransformation(double[][] matrix)
Constructs a 2D transformation using the given matrix.

Method Summary

java.lang.Object	clone() Provides a copy of this transformation.
static Matrix2DTransformation	createAlignmentTransformation(double[] v1, double[] v2) Instantiates a rotation that aligns the first vector with the second vector.
double[]	direct(double[] point) Transforms the given point+.
double[]	getFlatMatrix(double[] mat) Gets the direct homogeneous affine transformation flattened into a 1-d arrray.
static XML.ObjectLoader	getLoader()
java.awt.geom.AffineTransform	getTotalTransform()
double[]	inverse(double[] point) Transforms the given point using the inverse transformation (if it exists).
void	multiply(double[][] mat) Multiplies this rotation matrix by the given matrix.
void	multiply(Matrix2DTransformation trans) Multiplies (concatenates) this transformation matrix with the given transformation.
static Matrix2DTransformation	rotation(double theta) Creates a 2D transformation representing a rotation about the origin by the given angle.
static Matrix2DTransformation	rotation(double theta, double anchorx, double anchory) Creates a 2D transformation representing a rotation about the origin by the given angle around the given axis.
double[]	setOrigin(double[] origin) Sets the origin for this rotation.
void	setOrigin(double ox, double oy) Sets the origin for this rotation.

Methods inherited from class java.lang.Object

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

Constructor Detail

Matrix2DTransformation

public Matrix2DTransformation(double[][] matrix)

Constructs a 2D transformation using the given matrix. Affine transformations can be applied to 2D coordinates. A 2 by 3 matrix sets the rotation and shear. A null matrix sets the transformation to the identity transformation.

Parameters:

matrix - double[][]

Matrix2DTransformation

public Matrix2DTransformation(java.awt.geom.AffineTransform transform)

Constructor Matrix2DTransformation

Parameters:

transform -

Method Detail

rotation

public static Matrix2DTransformation rotation(double theta)

Creates a 2D transformation representing a rotation about the origin by the given angle.

Parameters:

theta - double

Returns:

Matrix2DTransformation

rotation

public static Matrix2DTransformation rotation(double theta,
                                              double anchorx,
                                              double anchory)

Creates a 2D transformation representing a rotation about the origin by the given angle around the given axis.

Parameters:

theta - double

anchorx - double

anchory - double

Returns:

Matrix2DTransformation

getTotalTransform

public java.awt.geom.AffineTransform getTotalTransform()

clone

public java.lang.Object clone()

Provides a copy of this transformation.

Specified by:

clone in interface Transformation

Overrides:

clone in class java.lang.Object

getFlatMatrix

public final double[] getFlatMatrix(double[] mat)

Gets the direct homogeneous affine transformation flattened into a 1-d arrray. If the mat parameter is null a double[6] array is created; otherwise the given array is used.

Specified by:

getFlatMatrix in interface MatrixTransformation

Parameters:

mat - double[] optional matrix

Returns:

double[] the matrix

createAlignmentTransformation

public static Matrix2DTransformation createAlignmentTransformation(double[] v1,
                                                                   double[] v2)

Instantiates a rotation that aligns the first vector with the second vector.

Parameters:

v1 - double[]

v2 - double[]

Returns:

Matrix2DTransformation

setOrigin

public void setOrigin(double ox,
                      double oy)

Sets the origin for this rotation.

Parameters:

ox - double

oy - double

setOrigin

public double[] setOrigin(double[] origin)

Sets the origin for this rotation.

Parameters:

origin - double[] the new origin

Returns:

double[]

multiply

public final void multiply(Matrix2DTransformation trans)

Multiplies (concatenates) this transformation matrix with the given transformation.

Parameters:

trans - Matrix2DTransformation

multiply

public final void multiply(double[][] mat)

Multiplies this rotation matrix by the given matrix.

Parameters:

mat - double[][]

direct

public double[] direct(double[] point)

Transforms the given point+.

Specified by:

direct in interface Transformation

Parameters:

point - the coordinates to be transformed

Returns:

double[] the transformed vector (i.e. point)

inverse

public double[] inverse(double[] point)
                 throws java.lang.UnsupportedOperationException

Transforms the given point using the inverse transformation (if it exists). If the transformation is not invertible, then a call to this method must throw a UnsupportedOperationException exception.

Specified by:

inverse in interface Transformation

Parameters:

point - the coordinates to be transformed

Returns:

double[] the transformed vector (i.e. point)

Throws:

java.lang.UnsupportedOperationException - If the transformation is not invertible

getLoader

public static XML.ObjectLoader getLoader()