Package com.io7m.jtensors.core.unparameterized.matrices

Class Matrices2x2D

java.lang.Object

com.io7m.jtensors.core.unparameterized.matrices.Matrices2x2D

public final class Matrices2x2D
extends java.lang.Object

Functions over Matrix2x2D 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	Description
static Matrix2x2D	add(Matrix2x2D m0, Matrix2x2D m1)	Add the matrices m0 and m1.
static Vector2D	column0(Matrix2x2D m)
static Vector2D	column1(Matrix2x2D m)
static double	determinant(Matrix2x2D m)	Calculate the determinant of the matrix m.
static Matrix2x2D	identity()	The identity matrix.
static java.util.Optional<Matrix2x2D>	invert(Matrix2x2D m)	Calculate the inverse of the matrix m.
static Matrix2x2D	multiply(Matrix2x2D m0, Matrix2x2D m1)	Multiply the matrices m0 and m1.
static Vector2D	multiplyVectorPost(Matrix2x2D m, Vector2D v)	Multiply the vector v by the matrix m.
static Matrix2x2D	ofColumns(Vector2D c0, Vector2D c1)	Construct a matrix from the column vectors (c0, c1).
static Matrix2x2D	ofRows(Vector2D r0, Vector2D r1)	Construct a matrix from the row vectors (r0, r1).
static Matrix2x2D	ofScale(double x, double y)	Construct a matrix that will scale by (x, y).
static Vector2D	row0(Matrix2x2D m)
static Vector2D	row1(Matrix2x2D m)
static Matrix2x2D	scale(Matrix2x2D m, double r)	Scale the matrix m by r.
static Matrix2x2D	subtract(Matrix2x2D m0, Matrix2x2D m1)	Subtract the matrices m0 and m1.
static double	trace(Matrix2x2D m)	Return the trace of the matrix m.
static Matrix2x2D	transpose(Matrix2x2D m)	Calculate the transpose of the matrix m.
static Matrix2x2D	withColumn(Matrix2x2D m, int column, double r0, double r1)	Set the column column of m to (r0, r1).
static Matrix2x2D	withRow(Matrix2x2D m, int row, double c0, double c1)	Set the row row of m to (c0, c1).
static Matrix2x2D	zero()	The zero matrix.

Methods inherited from class java.lang.Object

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

Method Details

add

public static Matrix2x2D add(Matrix2x2D m0, Matrix2x2D m1)

Add the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 + m1

determinant

public static double determinant(Matrix2x2D m)

Calculate the determinant of the matrix m.

Parameters:

m - The matrix

Returns:

The determinant of m

invert

public static java.util.Optional<Matrix2x2D> invert(Matrix2x2D 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 Matrix2x2D multiply(Matrix2x2D m0, Matrix2x2D m1)

Multiply the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 * m1

multiplyVectorPost

public static Vector2D multiplyVectorPost(Matrix2x2D m, Vector2D 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 Matrix2x2D ofColumns(Vector2D c0, Vector2D c1)

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

Parameters:

c0 - The column 0

c1 - The column 1

Returns:

A constructed matrix

ofRows

public static Matrix2x2D ofRows(Vector2D r0, Vector2D r1)

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

Parameters:

r0 - The row 0

r1 - The row 1

Returns:

A constructed matrix

ofScale

public static Matrix2x2D ofScale(double x, double y)

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

Parameters:

x - The X scaling value

y - The Y scaling value

Returns:

A constructed matrix

row0

public static Vector2D row0(Matrix2x2D m)

Parameters:

m - The matrix

Returns:

Row 0 of the matrix

row1

public static Vector2D row1(Matrix2x2D m)

Parameters:

m - The matrix

Returns:

Row 1 of the matrix

column0

public static Vector2D column0(Matrix2x2D m)

Parameters:

m - The matrix

Returns:

Column 0 of the matrix

column1

public static Vector2D column1(Matrix2x2D m)

Parameters:

m - The matrix

Returns:

Column 1 of the matrix

scale

public static Matrix2x2D scale(Matrix2x2D m, double r)

Scale the matrix m by r.

Parameters:

m - The matrix

r - The scale factor

Returns:

m * r

subtract

public static Matrix2x2D subtract(Matrix2x2D m0, Matrix2x2D m1)

Subtract the matrices m0 and m1.

Parameters:

m0 - The left matrix

m1 - The right matrix

Returns:

m0 - m1

trace

public static double trace(Matrix2x2D 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 Matrix2x2D transpose(Matrix2x2D m)

Calculate the transpose of the matrix m.

Parameters:

m - The matrix

Returns:

The transpose of m

withColumn

public static Matrix2x2D withColumn(Matrix2x2D m, int column, double r0, double r1)

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

Parameters:

m - The matrix

column - The column index in the range [0, 1] * @param r0 The value of row 0 in the column

r1 - The value of row 1 in the column

Returns:

A matrix with the given row

withRow

public static Matrix2x2D withRow(Matrix2x2D m, int row, double c0, double c1)

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

Parameters:

m - The matrix

row - The row index in the range [0, 1]

c0 - The value of column 0 in the row

c1 - The value of column 1 in the row

Returns:

A matrix with the given row

zero

public static Matrix2x2D zero()

The zero matrix.

Returns:

A matrix with all zero components

identity

public static Matrix2x2D identity()

The identity matrix.

Returns:

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