SkewMatrixDecompositor

This class solves the problem of decomposition of an arbitrary matrix into a series of primitive matrices, which are rotations, scaling and translation. Solves the problem of the lack of mechanisms for working with the skew-component of the matrix, for example, in Unity.

This repository contains two implementations of matrix transformations - for Unity and for .NET Core.

Unity

1. Copy the files from the MatrixDecompositorUnity\Assets\SkewMatrixTest folder to your Unity project.

2. There is a MatrixObjectWrapper class that turns the desired GameObject into a series of nested layers (GameObject), to which the necessary transformations are applied. Using example (from RootScript):

void Start()
{
    if (this.Target != null)
    {
        Matrix3x2 matrix = this.Matrix.ToMatrix3x2();
        this.wrapper = new MatrixObjectWrapper(this.Target, matrix);
    }
}

void Update()
{
    Matrix3x2 matrix = this.Matrix.ToMatrix3x2();  
    if (this.wrapper != null)
    {
        this.wrapper.Update(matrix);
    }
}

3. For a quick health check

   3.1 Add an empty GameObject to the stage

   3.2 Add a RootScript component to it

   3.3 Assign in the editor to the Target field the object to which the matrix will be applied

   3.4 In the Matrix field set the parameters of the matrix.

   3.5 After starting the scene, layers will be created in the editor and the Target object will move into them

   3.6 You can change the values in the Matrix field online

4. If you just need to use the decomposition of the matrix into components, then you can use the method:

MatrixDecompositor.Result? MatrixDecompositor.Decompose(Matrix3x2 matrix)

Description of the returned Result:

public class Result
{
    public UnityEngine.Vector2? Scale1;
    public float? Rotate1;
    public UnityEngine.Vector2? Scale2;
    public float? Rotate2;
    public UnityEngine.Vector2? Translate;
}

.NET Core

There are two methods implemented that can be useful in different situations:

1. MatrixDecompositor.Result? MatrixDecompositor.GetDecomposeResult(Matrix3x2 matrix) - see above.

2. List<Matrix3x2>? MatrixDecompositor.Decompose(Matrix3x2 matrix) - decomposes the matrix into a series of simple matrices, multiplying which, we get the original matrix.