Struct Matrix4x5

A 4x5 matrix to describe 4D transformation

public struct Matrix4x5

Constructors

Matrix4x5(Vector4, Matrix4)

Create a new 4x5 matrix.

public Matrix4x5(Vector4 position, Matrix4 rotation)

Fields

position

Fifth column of the matrix, denoted as a translation vector.

public Vector4 position

rotation

4x4 part of the matrix, denoted as a rotational matrix.

public Matrix4 rotation

Properties

forward

Get the forward (Z+) axis of the transform

public Vector4 forward { get; }

identity

Get a 4x5 identity matrix

public static Matrix4x5 identity { get; }

overward

Get the overward (W+) axis of the transform

public Vector4 overward { get; }

rightward

Get the right (X+) axis of the transform

public Vector4 rightward { get; }

upward

Get the up (Y+) axis of the transform

public Vector4 upward { get; }

Methods

Inverse(Matrix4x5)

Inverse the matrix

public static Matrix4x5 Inverse(Matrix4x5 t)

ToTRS(Vector4)

Convert to non-orthogonal matrix by applying a scale

public Matrix4x5 ToTRS(Vector4 scale)

Remarks

Do not inverse or multiply any matrix produced using this method.

Operators

Division(Matrix4x5, Matrix4x5)

Inversely combine two matrices

public static Matrix4x5 operator /(Matrix4x5 u, Matrix4x5 t)

Remarks

The operation is designed such that A * B / B is equivalent to A.

Division(Vector4, Matrix4x5)

Inversely transforms a point.

public static Vector4 operator /(Vector4 v, Matrix4x5 tx)

Remarks

This operation is equivalent to Inverse(matrix) * vector

Multiply(Matrix4x5, Bounds4)

Convert to OBB, transform, then wrap it inside AABB back

public static Bounds4 operator *(Matrix4x5 t, Bounds4 u)

Multiply(Matrix4x5, Matrix4x5)

Combine two transformations.

public static Matrix4x5 operator *(Matrix4x5 t, Matrix4x5 u)

Remarks

The operation is not commutative

Multiply(Matrix4x5, Plane4)

Transform the right-hand plane

public static Plane4 operator *(Matrix4x5 tx, Plane4 p)

Multiply(Matrix4x5, Vector4)

Transforms a point

public static Vector4 operator *(Matrix4x5 tx, Vector4 v)

Remarks

This operator does translate the vector, Otherwise you should only multiply with the rotational part of this 4x5 matrix.