/// <summary>
/// Transposes a matrix.
/// </summary>
/// <param name="m">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the transposed matrix.</returns>
public static Matrix2D Transpose(Matrix2D m)
{
Matrix2D t = new Matrix2D(m);
t.Transpose();
return t;
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2D"/> instance.</param>
/// <returns>A new <see cref="Vector2D"/> instance containing the result.</returns>
public static Vector2D Transform(Matrix2D matrix, Vector2D vector)
{
return(new Vector2D(
(matrix.M11 * vector.X) + (matrix.M12 * vector.Y),
(matrix.M21 * vector.X) + (matrix.M22 * vector.Y)));
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D Add(Matrix2D a, Matrix2D b)
{
return new Matrix2D(
a.M11 + b.M11, a.M12 + b.M12,
a.M21 + b.M21, a.M22 + b.M22
);
}
/// <summary>
/// Transforms a given vector by a matrix and put the result in a vector.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2D"/> instance.</param>
/// <param name="result">A <see cref="Vector2D"/> instance to hold the result.</param>
public static void Transform(Matrix2D matrix, Vector2D vector, ref Vector2D result)
{
result.X = (matrix.M11 * vector.X) + (matrix.M12 * vector.Y);
result.Y = (matrix.M21 * vector.X) + (matrix.M22 * vector.Y);
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator-(Matrix2D a, double s)
{
return(Matrix2D.Subtract(a, s));
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2D"/> instance.</param>
/// <returns>A new <see cref="Vector2D"/> instance containing the result.</returns>
public static Vector2D operator*(Matrix2D matrix, Vector2D vector)
{
return(Matrix2D.Transform(matrix, vector));
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance to subtract from.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance to subtract.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
/// <remarks>result[x][y] = a[x][y] - b[x][y]</remarks>
public static Matrix2D Subtract(Matrix2D a, Matrix2D b)
{
return new Matrix2D(
a.M11 - b.M11, a.M12 - b.M12,
a.M21 - b.M21, a.M22 - b.M22
);
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator+(double s, Matrix2D a)
{
return(Matrix2D.Add(a, s));
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the result.</returns>
public static Matrix2D Multiply(Matrix2D a, Matrix2D b)
{
return new Matrix2D(
a.M11 * b.M11 + a.M12 * b.M21,
a.M11 * b.M12 + a.M12 * b.M22,
a.M11 * b.M12 + a.M12 * b.M22,
a.M21 * b.M12 + a.M22 * b.M22
);
}
/// <summary>
/// Multiplies two matrices and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Multiply(Matrix2D a, Matrix2D b, ref Matrix2D result)
{
result.M11 = a.M11 * b.M11 + a.M12 * b.M21;
result.M12 = a.M11 * b.M12 + a.M12 * b.M22;
result.M21 = a.M11 * b.M12 + a.M12 * b.M22;
result.M22 = a.M21 * b.M12 + a.M22 * b.M22;
}
/// <summary>
/// Adds a matrix and a scalar and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Add(Matrix2D a, double s, ref Matrix2D result)
{
result.M11 = a.M11 + s;
result.M12 = a.M12 + s;
result.M21 = a.M21 + s;
result.M22 = a.M22 + s;
}
/// <summary>
/// Adds two matrices and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Add(Matrix2D a, Matrix2D b, ref Matrix2D result)
{
result.M11 = a.M11 + b.M11;
result.M12 = a.M12 + b.M12;
result.M21 = a.M21 + b.M21;
result.M22 = a.M22 + b.M22;
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D Add(Matrix2D a, double s)
{
return new Matrix2D(
a.M11 + s, a.M12 + s,
a.M21 + s, a.M22 + s
);
}
/// <summary>
/// Transforms a given vector by a matrix and put the result in a vector.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2D"/> instance.</param>
/// <param name="result">A <see cref="Vector2D"/> instance to hold the result.</param>
public static void Transform(Matrix2D matrix, Vector2D vector, ref Vector2D result)
{
result.X = (matrix.M11 * vector.X) + (matrix.M12 * vector.Y);
result.Y = (matrix.M21 * vector.X) + (matrix.M22 * vector.Y);
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D Subtract(Matrix2D a, double s)
{
return new Matrix2D(
a.M11 - s, a.M12 - s,
a.M21 - s, a.M22 - s
);
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator+(Matrix2D a, Matrix2D b)
{
return(Matrix2D.Add(a, b));
}
/// <summary>
/// Subtracts a matrix from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance to subtract from.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance to subtract.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
/// <remarks>result[x][y] = a[x][y] - b[x][y]</remarks>
public static void Subtract(Matrix2D a, Matrix2D b, ref Matrix2D result)
{
result.M11 = a.M11 - b.M11;
result.M12 = a.M12 - b.M12;
result.M21 = a.M21 - b.M21;
result.M22 = a.M22 - b.M22;
}
/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator-(Matrix2D a, Matrix2D b)
{
return(Matrix2D.Subtract(a, b));
}
/// <summary>
/// Subtracts a scalar from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="s">A scalar.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Subtract(Matrix2D a, double s, ref Matrix2D result)
{
result.M11 = a.M11 - s;
result.M12 = a.M12 - s;
result.M21 = a.M21 - s;
result.M22 = a.M22 - s;
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="a">A <see cref="Matrix2D"/> instance.</param>
/// <param name="b">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the result.</returns>
public static Matrix2D operator*(Matrix2D a, Matrix2D b)
{
return(Matrix2D.Multiply(a, b));
}
/// <summary>
/// Transforms a given vector by a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="vector">A <see cref="Vector2D"/> instance.</param>
/// <returns>A new <see cref="Vector2D"/> instance containing the result.</returns>
public static Vector2D Transform(Matrix2D matrix, Vector2D vector)
{
return new Vector2D(
(matrix.M11 * vector.X) + (matrix.M12 * vector.Y),
(matrix.M21 * vector.X) + (matrix.M22 * vector.Y));
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix2D"/> class using a given matrix.
/// </summary>
public Matrix2D(Matrix2D m)
{
_m11 = m.M11; _m12 = m.M12;
_m21 = m.M21; _m22 = m.M22;
}
/// <summary>
/// Initializes a new instance of the <see cref="Matrix2D"/> class using a given matrix.
/// </summary>
public Matrix2D(Matrix2D m)
{
_m11 = m.M11; _m12 = m.M12;
_m21 = m.M21; _m22 = m.M22;
}
