org.geotoolkit.referencing.operation.matrix
Class Matrix3

Object
  Matrix3d
      Matrix3

All Implemented Interfaces:

Serializable, Cloneable, XMatrix, LenientComparable, Matrix

public class Matrix3
extends Matrix3d
implements XMatrix

A matrix of fixed 3×3 size. This specialized matrix provides better accuracy than GeneralMatrix for matrix inversion and multiplication.

Since:

2.2

Version:

3.18

Author:

Martin Desruisseaux (IRD, Geomatys)

See Also:

Serialized Form

Module:

referencing/geotk-referencing (download)

View source code for this class

Field Summary

static int

SIZE The matrix size, which is 3.

Fields inherited from class Matrix3d

m00, m01, m02, m10, m11, m12, m20, m21, m22

Constructor Summary

Matrix3()
Creates a new identity matrix.

Matrix3(AffineTransform transform)
Constructs a 3×3 matrix from the specified affine transform.

Matrix3(double[] elements)
Creates a new matrix initialized to the specified values.

Matrix3(double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
Creates a new matrix initialized to the specified values.

Matrix3(Matrix matrix)
Creates a new matrix initialized to the same value than the specified one.

Method Summary

Matrix3	clone() Returns a clone of this matrix.
boolean	equals(Matrix matrix, double tolerance) Compares the element values regardless the object class.
boolean	equals(Object object, ComparisonMode mode) Compares this matrix with the given object for equality.
boolean	equalsAffine(AffineTransform transform) Returns true if this matrix is equal to the specified affine transform.
int	getNumCol() Returns the number of colmuns in this matrix, which is always 3 in this implementation.
int	getNumRow() Returns the number of rows in this matrix, which is always 3 in this implementation.
boolean	isAffine() Returns true if this matrix is an affine transform.
boolean	isIdentity() Returns true if this matrix is an identity matrix.
boolean	isIdentity(double tolerance) Returns true if this matrix is an identity matrix using the provided tolerance.
boolean	isNaN() Returns true if at least one coefficient value is NaN.
void	multiply(Matrix matrix) Sets the value of this matrix to the result of multiplying itself with the specified matrix.
void	setMatrix(AffineTransform transform) Sets this matrix to the specified affine transform.
AffineTransform	toAffineTransform() Returns an affine transform for this matrix.
String	toString() Returns a string representation of this matrix.

Methods inherited from class Matrix3d

add, add, add, add, determinant, epsilonEquals, equals, equals, getColumn, getColumn, getElement, getRow, getRow, getScale, hashCode, invert, invert, mul, mul, mul, mul, mulNormalize, mulNormalize, mulTransposeBoth, mulTransposeLeft, mulTransposeRight, negate, negate, normalize, normalize, normalizeCP, normalizeCP, rotX, rotY, rotZ, set, set, set, set, set, set, set, set, setColumn, setColumn, setColumn, setElement, setIdentity, setRow, setRow, setRow, setScale, setZero, sub, sub, transform, transform, transpose, transpose

Methods inherited from class Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface XMatrix

invert, negate, setIdentity, setZero, transpose

Methods inherited from interface Matrix

getElement, setElement

Methods inherited from interface LenientComparable

equals

Field Detail

SIZE

public static final int SIZE

The matrix size, which is 3.

See Also:

Constant Field Values

Constructor Detail

Matrix3

public Matrix3()

Creates a new identity matrix.

Matrix3

public Matrix3(double m00,
               double m01,
               double m02,
               double m10,
               double m11,
               double m12,
               double m20,
               double m21,
               double m22)

Creates a new matrix initialized to the specified values.

Parameters:

m00 - The first matrix element in the first row.

m01 - The second matrix element in the first row.

m02 - The third matrix element in the first row.

m10 - The first matrix element in the second row.

m11 - The second matrix element in the second row.

m12 - The third matrix element in the second row.

m20 - The first matrix element in the third row.

m21 - The second matrix element in the third row.

m22 - The third matrix element in the third row.

Matrix3

public Matrix3(double[] elements)

Creates a new matrix initialized to the specified values. The length of the given array must be 9 and the values in the same order than the above constructor.

Parameters:

elements - Elements of the matrix. Column indices vary fastest.

Since:

3.00

Matrix3

public Matrix3(AffineTransform transform)

Constructs a 3×3 matrix from the specified affine transform.

Parameters:

transform - The affine transform to copy.

See Also:

toAffineTransform()

Matrix3

public Matrix3(Matrix matrix)
        throws IllegalArgumentException

Creates a new matrix initialized to the same value than the specified one. The specified matrix size must be 3×3.

Parameters:

matrix - The matrix to copy.

Throws:

IllegalArgumentException - if the given matrix is not of the expected size.

Method Detail

getNumRow

public final int getNumRow()

Returns the number of rows in this matrix, which is always 3 in this implementation.

Specified by:

getNumRow in interface Matrix

getNumCol

public final int getNumCol()

Returns the number of colmuns in this matrix, which is always 3 in this implementation.

Specified by:

getNumCol in interface Matrix

isIdentity

public final boolean isIdentity()

Returns true if this matrix is an identity matrix.

Specified by:

isIdentity in interface Matrix

isIdentity

public final boolean isIdentity(double tolerance)

Returns true if this matrix is an identity matrix using the provided tolerance. This method is equivalent to computing the difference between this matrix and an identity matrix of identical size, and returning true if and only if all differences are smaller than or equal to tolerance.

Specified by:

isIdentity in interface XMatrix

Parameters:

tolerance - The tolerance value.

Returns:

true if this matrix is close enough to the identity matrix given the tolerance value.

isAffine

public final boolean isAffine()

Returns true if this matrix is an affine transform. A transform is affine if the matrix is square and last row contains only zeros, except in the last column which contains 1.

Specified by:

isAffine in interface XMatrix

Returns:

true if this matrix is affine.

isNaN

public final boolean isNaN()

Returns true if at least one coefficient value is NaN.

Returns:

true if at least one coefficient value is NaN.

Since:

2.3

multiply

public final void multiply(Matrix matrix)

Sets the value of this matrix to the result of multiplying itself with the specified matrix. In other words, performs this = this × matrix. In the context of coordinate transformations, this is equivalent to AffineTransform.concatenate: first transforms by the supplied transform and then transform the result by the original transform.

Specified by:

multiply in interface XMatrix

Parameters:

matrix - The matrix to multiply to this matrix.

setMatrix

public void setMatrix(AffineTransform transform)

Sets this matrix to the specified affine transform.

Parameters:

transform - The affine transform to copy.

Since:

2.3

toAffineTransform

public AffineTransform toAffineTransform()
                                  throws IllegalStateException

Returns an affine transform for this matrix. This is a convenience method for inter-operability with Java2D.

Returns:

The affine transform for this matrix.

Throws:

IllegalStateException - if the last row is not [0 0 1].

Since:

3.00

equalsAffine

public boolean equalsAffine(AffineTransform transform)

Returns true if this matrix is equal to the specified affine transform.

Parameters:

transform - The affine transform to test for equality.

Returns:

true if the given affine transform has the same coefficients than this matrix.

Since:

2.3

equals

public boolean equals(Matrix matrix,
                      double tolerance)

Compares the element values regardless the object class. This is similar to a call to GMatrix.epsilonEquals. The method name is intentionally different in order to avoid ambiguities at compile-time.

Specified by:

equals in interface XMatrix

Parameters:

matrix - The matrix to compare.

tolerance - The tolerance value.

Returns:

true if this matrix is close enough to the given matrix given the tolerance value.

equals

public boolean equals(Object object,
                      ComparisonMode mode)

Compares this matrix with the given object for equality. To be considered equal, the two objects must meet the following conditions, which depend on the mode argument:

• STRICT: the two matrixes must be of the same class, have the same size and the same element values.
• BY_CONTRACT/IGNORE_METADATA: the two matrixes must have the same size and the same element values, but are not required to be the same implementation class (any Matrix is okay).
• APPROXIMATIVE: the two matrixes must have the same size, but the element values can differ up to some threshold. The threshold value is determined empirically and may change in future Geotk versions.

Specified by:

equals in interface XMatrix

Specified by:

equals in interface LenientComparable

Parameters:

object - The object to compare to this.

mode - The strictness level of the comparison.

Returns:

true if both objects are equal.

Since:

3.18

toString

public String toString()

Returns a string representation of this matrix. The returned string is implementation dependent. It is usually provided for debugging purposes only.

Overrides:

toString in class Matrix3d

clone

public Matrix3 clone()

Returns a clone of this matrix.

Specified by:

clone in interface XMatrix

Specified by:

clone in interface Matrix

Overrides:

clone in class Matrix3d