tig.maths

Class Matrix3

java.lang.Object

tig.maths.Matrix3

All Implemented Interfaces:

GeneralConstants

public class Matrix3
extends java.lang.Object
implements GeneralConstants

Simple representation of a 3 x 3 matrix based on doubles.

Field Summary

Fields

Modifier and Type	Field and Description
double	m00 Term of the matrix
double	m01 Term of the matrix
double	m02 Term of the matrix
double	m10 Term of the matrix
double	m11 Term of the matrix
double	m12 Term of the matrix
double	m20 Term of the matrix
double	m21 Term of the matrix
double	m22 Term of the matrix

Fields inherited from interface tig.GeneralConstants

BLANK, FS, LS, NO_SPECIF, SPACE

Constructor Summary

Constructors

Constructor and Description
Matrix3(double x00, double x01, double x02, double x10, double x11, double x12, double x20, double x21, double x22) Unique constructor.

Method Summary

Modifier and Type	Method and Description
static double	det(Matrix3 M) Returns the determinant of matrix M.
static Matrix3	getIdentityMatrix() Returns the identity matrix.
static Matrix3	getRotX(double alpha) Returns a matrix that can be used as a rotation matrix around the X axis.
static Matrix3	getRotY(double alpha) Returns a matrix that can be used as a rotation matrix around the Y axis.
static Matrix3	getRotZ(double alpha) Returns a matrix that can be used as a rotation matrix around the Z axis.
static Matrix3	invert(Matrix3 M) Returns the inverse matrix of M.
static void	main(java.lang.String[] args)
static Matrix3	mul(Matrix3 M1, Matrix3 M2) Returns a matrix M such as M = M1 * M2.
java.lang.String	toString() Returns a String representation of this Vector.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

m00

public double m00

Term of the matrix

m01

public double m01

Term of the matrix

m02

public double m02

Term of the matrix

m10

public double m10

Term of the matrix

m11

public double m11

Term of the matrix

m12

public double m12

Term of the matrix

m20

public double m20

Term of the matrix

m21

public double m21

Term of the matrix

m22

public double m22

Term of the matrix

Constructor Detail

Matrix3

public Matrix3(double x00,
               double x01,
               double x02,
               double x10,
               double x11,
               double x12,
               double x20,
               double x21,
               double x22)

Unique constructor.
Fills the instance variables mij from parameters xij.

Method Detail

toString

public java.lang.String toString()

Returns a String representation of this Vector. The form is : (x0, x1, x2).

Overrides:

toString in class java.lang.Object

getIdentityMatrix

public static Matrix3 getIdentityMatrix()

Returns the identity matrix.

getRotX

public static Matrix3 getRotX(double alpha)

Returns a matrix that can be used as a rotation matrix around the X axis.

Parameters:

alpha - The rotation angle, in radians.

getRotY

public static Matrix3 getRotY(double alpha)

Returns a matrix that can be used as a rotation matrix around the Y axis.

Parameters:

alpha - The rotation angle, in radians.

getRotZ

public static Matrix3 getRotZ(double alpha)

Returns a matrix that can be used as a rotation matrix around the Z axis.

Parameters:

alpha - The rotation angle, in radians.

mul

public static Matrix3 mul(Matrix3 M1,
                          Matrix3 M2)

Returns a matrix M such as M = M1 * M2.

det

public static double det(Matrix3 M)

Returns the determinant of matrix M.

Parameters:

M - The matrix whose determinant must be found.

invert

public static Matrix3 invert(Matrix3 M)

Returns the inverse matrix of M.
If the resulting matrix is called N, we have : M x N = I, the identity matrix.

Parameters:

M - The matrix to invert.

Throws:

java.lang.RuntimeException - if the determinant of M is = 0.

main

public static void main(java.lang.String[] args)