ProGAL.math

Class Matrix3x3

java.lang.Object

ProGAL.math.Matrix

ProGAL.math.Matrix3x3

public class Matrix3x3
extends Matrix

Nested Class Summary

Nested classes/interfaces inherited from class ProGAL.math.Matrix

Matrix.EigenvalueDecomposition, Matrix.ImmutableMatrix

Field Summary

Fields inherited from class ProGAL.math.Matrix

coords, M, N

Constructor Summary

Constructors

Constructor and Description
Matrix3x3()
Matrix3x3(double[][] coords)

Method Summary

Modifier and Type	Method and Description
Matrix3x3	clone() Returns a clone of this matrix.
double	determinant() Get the determinant of this matrix.
Vector	getColumn(int c)
Vector[]	getEigenvectors() Get the eigenvectors of a 3x3 matrix sorted by decreasing eigenvalue.
Vector	getRow(int r)
Matrix3x3	getTranspose() Get the transpose of this matrix
Matrix	invertThis() Invert this matrix (overwrites this and returns it).
Matrix3x3	multiply(Matrix3x3 M)
static Matrix3x3	randRotation(double[] x) This routine maps three values (x[0], x[1], x[2]) in the range [0,1] into a 3x3 rotation matrix, M.
static Matrix3x3	randRotation2(double[] x)
static Matrix3x3	randRotation3(double scl)

Methods inherited from class ProGAL.math.Matrix

add, addThis, create4x4ColumnMatrix, createColumnMatrix, createIdentityMatrix, createRandomMatrix, createRotationMatrix, createRowMatrix, equals, equals, expand, extend, get, getCoords, getEigenvalueDecomposition, getM, getN, getSubmatrix, invert, isSquare, minor, multiply_Strassen, multiply, multiply, multiply, multiply, multiply, multiplyIn, multiplyIn, multiplyThis, multiplyThis, orthonormalizeThis, reduce, reduceThis, set, setColumn, setRow, setSubmatrix, subtract, subtractThis, toConsole, toConsole, toString, toString, transpose

Methods inherited from class java.lang.Object

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

Constructor Detail

Matrix3x3

public Matrix3x3()

Matrix3x3

public Matrix3x3(double[][] coords)

Method Detail

getColumn

public Vector getColumn(int c)

Overrides:

getColumn in class Matrix

getRow

public Vector getRow(int r)

Overrides:

getRow in class Matrix

getTranspose

public Matrix3x3 getTranspose()

Description copied from class: Matrix

Get the transpose of this matrix

Overrides:

getTranspose in class Matrix

determinant

public double determinant()

Get the determinant of this matrix.

Overrides:

determinant in class Matrix

invertThis

public Matrix invertThis()

Invert this matrix (overwrites this and returns it).

Overrides:

invertThis in class Matrix

getEigenvectors

public Vector[] getEigenvectors()

Get the eigenvectors of a 3x3 matrix sorted by decreasing eigenvalue. If the matrix is singular ... TODO: test this.

Returns:

an array containing eigenvectors.

multiply

public Matrix3x3 multiply(Matrix3x3 M)

randRotation

public static Matrix3x3 randRotation(double[] x)

This routine maps three values (x[0], x[1], x[2]) in the range [0,1] into a 3x3 rotation matrix, M. Uniformly distributed random variables x0, x1, and x2 create uniformly distributed random rotation matrices. To create small uniformly distributed "perturbations", supply samples in the following ranges

     x[0] in [ 0, d ]
     x[1] in [ 0, 1 ]
     x[2] in [ 0, d ]
 

where 0 < d < 1 controls the size of the perturbation. Any of the random variables may be stratified (or "jittered") for a slightly more even distribution. *

randRotation2

public static Matrix3x3 randRotation2(double[] x)

randRotation3

public static Matrix3x3 randRotation3(double scl)

clone

public Matrix3x3 clone()

Description copied from class: Matrix

Returns a clone of this matrix.

Overrides:

clone in class Matrix