/// <summary>
/// Combines matrices by addition.
/// </summary>
public static TransformationMatrix2D operator +(TransformationMatrix2D matrix1, TransformationMatrix2D matrix2)
{
var result = new TransformationMatrix2D();
for (int r = 0; r < 3; r++)
{
for (int c = 0; c < 3; c++)
{
result[r, c] = matrix1[r, c] + matrix2[r, c];
}
}
return(result);
}
/// <summary>
/// Multiplies the matrix with a given factor.
/// </summary>
public static TransformationMatrix2D operator *(double factor, TransformationMatrix2D matrix)
{
var result = new TransformationMatrix2D();
for (int r = 0; r < 3; r++)
{
for (int c = 0; c < 3; c++)
{
result[r, c] = factor * matrix[r, c];
}
}
return(result);
}
/// <summary>
/// Returns a 2D transformation matrix for distorted scaling.
/// </summary>
public static TransformationMatrix2D Scaling(double sx, double sy)
{
var result = new TransformationMatrix2D();
result[0, 0] = sx;
result[0, 1] = 0;
result[0, 2] = 0;
result[1, 0] = 0;
result[1, 1] = sy;
result[1, 2] = 0;
result[2, 0] = 0;
result[2, 1] = 0;
result[2, 2] = 1;
return(result);
}
/// <summary>
/// Returns a 2D transformation matrix for translating (displacing).
/// </summary>
public static TransformationMatrix2D Translating(double x, double y)
{
var result = new TransformationMatrix2D();
result[0, 0] = 1;
result[0, 1] = 0;
result[0, 2] = x;
result[1, 0] = 0;
result[1, 1] = 1;
result[1, 2] = y;
result[2, 0] = 0;
result[2, 1] = 0;
result[2, 2] = 1;
return(result);
}
/// <summary>
/// Returns an identity 2D transformation matrix.
/// </summary>
public static TransformationMatrix2D Identity()
{
var result = new TransformationMatrix2D();
result[0, 0] = 1;
result[0, 1] = 0;
result[0, 2] = 0;
result[1, 0] = 0;
result[1, 1] = 1;
result[1, 2] = 0;
result[2, 0] = 0;
result[2, 1] = 0;
result[2, 2] = 1;
return(result);
}
/// <summary>
/// Returns a 2D transformation matrix for rotation given the angle in radians.
/// </summary>
public static TransformationMatrix2D Rotating(double rad)
{
var result = new TransformationMatrix2D();
result[0, 0] = Math.Cos(rad);
result[0, 1] = -Math.Sin(rad);
result[0, 2] = 0;
result[1, 0] = Math.Sin(rad);
result[1, 1] = Math.Cos(rad);
result[1, 2] = 0;
result[2, 0] = 0;
result[2, 1] = 0;
result[2, 2] = 1;
return(result);
}
/// <summary>
/// Combines matrices by multiplication.
/// </summary>
public static TransformationMatrix2D operator *(TransformationMatrix2D matrix1, TransformationMatrix2D matrix2)
{
var result = new TransformationMatrix2D();
for (int r = 0; r < 3; r++)
{
for (int c = 0; c < 3; c++)
{
for (int m = 0; m < 3; m++)
{
result[r, c] += matrix1[r, m] * matrix2[m, c];
}
}
}
return(result);
}