com.io7m.jtensors.core.unparameterized.matrices

Class Matrices3x3D

java.lang.Object

com.io7m.jtensors.core.unparameterized.matrices.Matrices3x3D

public final class Matrices3x3D
extends Object

Functions over Matrix3x3D values.

See "Mathematics for 3D Game Programming and Computer Graphics" 2nd Ed for the derivations of most of the code in this class (ISBN: 1-58450-277-0).

Since:

8.0.0

Method Summary

Modifier and Type	Method and Description
static Matrix3x3D	add(Matrix3x3D m0, Matrix3x3D m1) Add the matrices m0 and m1.
static Vector3D	column0(Matrix3x3D m)
static Vector3D	column1(Matrix3x3D m)
static Vector3D	column2(Matrix3x3D m)
static double	determinant(Matrix3x3D m) Calculate the determinant of the matrix m.
static Matrix3x3D	identity() The identity matrix.
static Optional<Matrix3x3D>	invert(Matrix3x3D m) Calculate the inverse of the matrix m.
static Matrix3x3D	multiply(Matrix3x3D m0, Matrix3x3D m1) Multiply the matrices m0 and m1.
static Vector3D	multiplyVectorPost(Matrix3x3D m, Vector3D v) Multiply the vector v by the matrix m.
static Matrix3x3D	ofAxisAngle(double axis_x, double axis_y, double axis_z, double angle) Construct a matrix that will rotate by angle radians around the axis (x, y, z).
static Matrix3x3D	ofColumns(Vector3D c0, Vector3D c1, Vector3D c2) Construct a matrix from the column vectors (c0, c1, c2).
static Matrix3x3D	ofRows(Vector3D r0, Vector3D r1, Vector3D r2) Construct a matrix from the row vectors (r0, r1, r2).
static Matrix3x3D	ofScale(double x, double y, double z) Construct a matrix that will scale by (x, y, z).
static Vector3D	row0(Matrix3x3D m)
static Vector3D	row1(Matrix3x3D m)
static Vector3D	row2(Matrix3x3D m)
static Matrix3x3D	scale(Matrix3x3D m, double r) Scale the matrix m by r.
static Matrix3x3D	subtract(Matrix3x3D m0, Matrix3x3D m1) Subtract the matrices m0 and m1.
static double	trace(Matrix3x3D m) Return the trace of the matrix m.
static Matrix3x3D	transpose(Matrix3x3D m) Calculate the transpose of the matrix m.
static Matrix3x3D	withColumn(Matrix3x3D m, int column, double r0, double r1, double r2) Set the column column of m to (r0, r1, r2).
static Matrix3x3D	withRow(Matrix3x3D m, int row, double c0, double c1, double c2) Set the row row of m to (c0, c1, c2).
static Matrix3x3D	zero() The zero matrix.

Methods inherited from class java.lang.Object

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

Method Detail

add

public static Matrix3x3D add(Matrix3x3D m0,
                             Matrix3x3D m1)

Add the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 + m1

determinant

public static double determinant(Matrix3x3D m)

Calculate the determinant of the matrix m.

Parameters:

m - The matrix

Returns:

The determinant of m

invert

public static Optional<Matrix3x3D> invert(Matrix3x3D m)

Calculate the inverse of the matrix m.

Parameters:

m - The matrix

Returns:

The inverse of m, or nothing if no inverse exists

multiply

public static Matrix3x3D multiply(Matrix3x3D m0,
                                  Matrix3x3D m1)

Multiply the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 * m1

multiplyVectorPost

public static Vector3D multiplyVectorPost(Matrix3x3D m,
                                          Vector3D v)

Multiply the vector v by the matrix m.

This is post multiplication.

Parameters:

m - The matrix

v - The vector

Returns:

m * v

ofColumns

public static Matrix3x3D ofColumns(Vector3D c0,
                                   Vector3D c1,
                                   Vector3D c2)

Construct a matrix from the column vectors (c0, c1, c2).

Parameters:

c0 - The column 0

c1 - The column 1

c2 - The column 2

Returns:

A constructed matrix

ofRows

public static Matrix3x3D ofRows(Vector3D r0,
                                Vector3D r1,
                                Vector3D r2)

Construct a matrix from the row vectors (r0, r1, r2).

Parameters:

r0 - The row 0

r1 - The row 1

r2 - The row 2

Returns:

A constructed matrix

ofScale

public static Matrix3x3D ofScale(double x,
                                 double y,
                                 double z)

Construct a matrix that will scale by (x, y, z).

Parameters:

x - The X scaling value

y - The Y scaling value

z - The Z scaling value

Returns:

A constructed matrix

ofAxisAngle

public static Matrix3x3D ofAxisAngle(double axis_x,
                                     double axis_y,
                                     double axis_z,
                                     double angle)

Construct a matrix that will rotate by angle radians around the axis (x, y, z).

Parameters:

angle - The angle in radians

axis_x - The X axis value

axis_y - The Y axis value

axis_z - The Z axis value

Returns:

A constructed matrix

row0

public static Vector3D row0(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Row 0 of the matrix

row1

public static Vector3D row1(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Row 1 of the matrix

row2

public static Vector3D row2(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Row 2 of the matrix

column0

public static Vector3D column0(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Column 0 of the matrix

column1

public static Vector3D column1(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Column 1 of the matrix

column2

public static Vector3D column2(Matrix3x3D m)

Parameters:

m - The matrix

Returns:

Column 2 of the matrix

scale

public static Matrix3x3D scale(Matrix3x3D m,
                               double r)

Scale the matrix m by r.

Parameters:

m - The matrix

r - The scale factor

Returns:

m * r

subtract

public static Matrix3x3D subtract(Matrix3x3D m0,
                                  Matrix3x3D m1)

Subtract the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 - m1

trace

public static double trace(Matrix3x3D m)

Return the trace of the matrix m. The trace is defined as the sum of the diagonal elements of the matrix.

Parameters:

m - The matrix

Returns:

The trace of the matrix

transpose

public static Matrix3x3D transpose(Matrix3x3D m)

Calculate the transpose of the matrix m.

Parameters:

m - The matrix

Returns:

The transpose of m

withColumn

public static Matrix3x3D withColumn(Matrix3x3D m,
                                    int column,
                                    double r0,
                                    double r1,
                                    double r2)

Set the column column of m to (r0, r1, r2).

Parameters:

m - The matrix

column - The column index in the range [0, 2] * @param r0 The value of row 0 in the column

r1 - The value of row 1 in the column

r2 - The value of row 2 in the column

Returns:

A matrix with the given row

withRow

public static Matrix3x3D withRow(Matrix3x3D m,
                                 int row,
                                 double c0,
                                 double c1,
                                 double c2)

Set the row row of m to (c0, c1, c2).

Parameters:

m - The matrix

row - The row index in the range [0, 2]

c0 - The value of column 0 in the row

c1 - The value of column 1 in the row

c2 - The value of column 2 in the row

Returns:

A matrix with the given row

zero

public static Matrix3x3D zero()

The zero matrix.

Returns:

A matrix with all zero components

identity

public static Matrix3x3D identity()

The identity matrix.

Returns:

A matrix with all diagonal components set to 1 and all other components set to 0.