MathExtended.Matrix

C# Library for Matrices

Legal information and credits

MathExtended.Matrix is project by Ales Hotko and was first released in April 2018. It's licensed under the MIT license.

Usage

Matrix Creation

Square Matrix

//Create square matrix of size 3x3
Matrix matrix = new Matrix(3);

Matrix of any size

//Create matrix of any size (i.e. 5x3)
Matrix matrix = new Matrix(5, 3);

Zero Matrix

Matrix zero = Matrix.Zero(rows, cols);
//..or..
Matrix zeroSquare = Matrix.Zero(size);

Identity Matrix

Matrix identity = Matrix.Identity(size);

Populating the matrix

//Populate Matrix
matrix[1, 1] = 5.0;
matrix[1, 2] = 5.0;
matrix[1, 3] = 5.0;
//...or populate with random values between -5.0 and 10.0
matrix.Randomize(-5,0, 10.0);
//..or with random values between 0 and 1
matrix.Randomize();

Math operations

Matrix a = new Matrix(3, 3);
Matrix b = new Matrix(3, 3);

Addition

Matrix sum = a + b;
//..or..
a.Add(b);

Subtraction

Matrix diff = a - b;
//..or..
a.Add(b);

Multiplication

//multiplication with scalar
Matrix product = a * 3.0;
//..or..
a.Multiply(3.0);
//multiplication with another matrix
Matrix product = a * b;
//..or..
a.Multiply(b);

Hadamard Product

a.HadamardProduct(b);

Inversion

Matrix inverse = !a;
//..or..
a.Inverse();

Transposition

Matrix r = new Matrix(5, 4);
r.Transpose();

Mapping elements with a function

Matrix r = new Matrix(5, 4);
r.Map(Math.Sin); //Apply Sine function to every matrix element
//or own function
public double MyFunction(double param)
{
	return param * 42.0;
}

//[...]
r.Map(MyFunction);
//[...]

Comparing the matrices

//Equality
if(a == b) {}
//..or..
if(a != b) {}
//..or..
if(a > b) {}
//..or..
if(a < b) {}
//..or..
if(a >= b) {}
//..or..
if(a <= b) {}

Creating Transformation Matrices

Rotation

//2D
Matrix rotation2D = Matrix.Rotation2D(angleInDegrees);
//3D around X, Y or Z axis
Matrix rotation3D = Matrix.Rotation3DX(angleInDegrees);
Matrix rotation3D = Matrix.Rotation3DY(angleInDegrees);
Matrix rotation3D = Matrix.Rotation3DZ(angleInDegrees);

Scaling

Matrix scaling = Matrix.Scaling(factorX, factorY, factorZ);

Translation

Matrix translation = Matrix.Translation(moveX, moveY, moveZ);