.NET Generic Vectors and Matrices

THIS REPO IS EXPERIMENTAL AND SUBJECT TO BREAKING CHANGES!

This repo contains an implementation of generic versions of the following .NET types using the new generic math feature added as preview in .NET 6:

Existing type	Generic implementation (this repo)
System.Numerics.Matrix3x2.cs	System.Numerics.Matrix3x2<T>.cs
System.Numerics.Matrix4x4.cs	System.Numerics.Matrix4x4<T>.cs
System.Numerics.Plane.cs	System.Numerics.Plane<T>.cs
System.Numerics.Quaternion.cs	System.Numerics.Quaternion<T>.cs
System.Numerics.Vector2.cs	System.Numerics.Vector2<T>.cs
System.Numerics.Vector3.cs	System.Numerics.Vector3<T>.cs
System.Numerics.Vector4.cs	System.Numerics.Vector4<T>.cs

For further details of .NET Generic Math see: Preview Features in .NET 6 – Generic Math.

The generic argument is constrained to types implementing System.IFloatingPoint which, as of .NET 6 Preview 7, are:

• System.Half
• System.Single (float)
• System.Double (double)

The code is based on the non-generic implementations.

The added generic vector and matrix types are designed to satisfy this existing .NET issue: Add support System.Numerics.Vectors types with double precision.

As the Vector and Matrix classes themselves implement some of the generic math interfaces they can be used with generic math functions:

Vector3<double>[] data = { new(1.0, 2.0, 3.0), new(4.0, 5.0, 6.0) };
var sum = Sum(data);

public static T Sum<T>(IEnumerable<T> data)
    where T : IAdditiveIdentity<T, T>, IAdditionOperators<T, T, T>
{
    T sum = T.AdditiveIdentity;
    foreach (var item in data)
        sum += item;
    return sum;
} 

Using in other projects

To use outside this repo copy the files in the src directory to your own project and follow the directions in the blog post to enable generic math.

Note that in order to get the code to compile you must be using at least .NET 6 Preview 7.

Static methods

The ideal is to add the static methods to the existing non-generic classes, for example:

    Matrix3x2<double> transform = Matrix3x2.CreateTranslation(-100.0, -100.0);

However that is not possible in this repo, so they have been added to a class with an added 'S' on the end, for example:

    Matrix3x2<double> transform = Matrix3x2S.CreateTranslation(-100.0, -100.0);