/// <summary>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator -(Matrix2D left, Matrix2D right)
{
return(Matrix2D.Subtract(left, right));;
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the result.</returns>
public static Matrix2D operator *(Matrix2D left, Matrix2D right)
{
return(Matrix2D.Multiply(left, right));;
}
/// <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="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator +(Matrix2D left, Matrix2D right)
{
return(Matrix2D.Add(left, right));;
}
/// <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>
/// 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>
/// Converts the specified string to its <see cref="Matrix2D"/> equivalent.
/// A return value indicates whether the conversion succeeded or failed.
/// </summary>
/// <param name="value">A string representation of a <see cref="Matrix2D"/>.</param>
/// <param name="result">
/// When this method returns, if the conversion succeeded,
/// contains a <see cref="Matrix2D"/> representing the vector specified by <paramref name="value"/>.
/// </param>
/// <returns><see langword="true"/> if value was converted successfully; otherwise, <see langword="false"/>.</returns>
/// <remarks>
/// The string should be in the following form: "2x2..matrix elements..>".<br/>
/// Exmaple : "2x2[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]"
/// </remarks>
public static bool TryParse(string value, out Matrix2D result)
{
Regex r = new Regex(regularExp, RegexOptions.Singleline);
Match m = r.Match(value);
if (m.Success)
{
result = new Matrix2D(
double.Parse(m.Result("${m11}")),
double.Parse(m.Result("${m12}")),
double.Parse(m.Result("${m21}")),
double.Parse(m.Result("${m22}"))
);
return true;
}
result = Matrix2D.Zero;
return false;
}
/// <summary>
/// Multiplies two matrices and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Multiply(Matrix2D left, Matrix2D right, ref Matrix2D result)
{
result.M11 = left.M11 * right.M11 + left.M12 * right.M21;
result.M12 = left.M11 * right.M12 + left.M12 * right.M22;
result.M21 = left.M21 * right.M11 + left.M22 * right.M21;
result.M22 = left.M21 * right.M12 + left.M22 * right.M22;
}
/// <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>
/// 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>
/// 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>
/// 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>
/// 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>
/// 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+(Matrix2D a, double s)
{
return Matrix2D.Add(a,s);
}
/// <summary>
/// Adds two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D Add(Matrix2D left, Matrix2D right)
{
return new Matrix2D(
left.M11 + right.M11, left.M12 + right.M12,
left.M21 + right.M21, left.M22 + right.M22
);
}
/// <summary>
/// Multiplies two matrices.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the result.</returns>
public static Matrix2D Multiply(Matrix2D left, Matrix2D right)
{
return new Matrix2D(
left.M11 * right.M11 + left.M12 * right.M21,
left.M11 * right.M12 + left.M12 * right.M22,
left.M21 * right.M11 + left.M22 * right.M21,
left.M21 * right.M12 + left.M22 * right.M22
);
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D Add(Matrix2D matrix, double scalar)
{
return new Matrix2D(
matrix.M11 + scalar, matrix.M12 + scalar,
matrix.M21 + scalar, matrix.M22 + scalar
);
}
/// <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 and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Add(Matrix2D left, Matrix2D right, ref Matrix2D result)
{
result.M11 = left.M11 + right.M11;
result.M12 = left.M12 + right.M12;
result.M21 = left.M21 + right.M21;
result.M22 = left.M22 + right.M22;
}
/// <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>
/// Adds a matrix and a scalar and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Add(Matrix2D matrix, double scalar, ref Matrix2D result)
{
result.M11 = matrix.M11 + scalar;
result.M12 = matrix.M12 + scalar;
result.M21 = matrix.M21 + scalar;
result.M22 = matrix.M22 + scalar;
}
/// <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>
/// Subtracts a matrix from a matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance to subtract from.</param>
/// <param name="right">A <see cref="Matrix2D"/> instance to subtract.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
/// <remarks>result[x][y] = left[x][y] - right[x][y]</remarks>
public static Matrix2D Subtract(Matrix2D left, Matrix2D right)
{
return new Matrix2D(
left.M11 - right.M11, left.M12 - right.M12,
left.M21 - right.M21, left.M22 - right.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="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D Subtract(Matrix2D matrix, double scalar)
{
return new Matrix2D(
matrix.M11 - scalar, matrix.M12 - scalar,
matrix.M21 - scalar, matrix.M22 - scalar
);
}
/// <summary>
/// Adds a matrix and a scalar.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the sum.</returns>
public static Matrix2D operator +(double scalar, Matrix2D matrix)
{
return(Matrix2D.Add(matrix, scalar));
}
/// <summary>
/// Subtracts a matrix from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="left">A <see cref="Matrix2D"/> instance to subtract from.</param>
/// <param name="right">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] = left[x][y] - right[x][y]</remarks>
public static void Subtract(Matrix2D left, Matrix2D right, ref Matrix2D result)
{
result.M11 = left.M11 - right.M11;
result.M12 = left.M12 - right.M12;
result.M21 = left.M21 - right.M21;
result.M22 = left.M22 - right.M22;
}
/// <summary>
/// Subtracts a scalar from a matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <returns>A new <see cref="Matrix2D"/> instance containing the difference.</returns>
public static Matrix2D operator -(Matrix2D matrix, double scalar)
{
return(Matrix2D.Subtract(matrix, scalar));
}
/// <summary>
/// Subtracts a scalar from a matrix and put the result in a third matrix.
/// </summary>
/// <param name="matrix">A <see cref="Matrix2D"/> instance.</param>
/// <param name="scalar">A double-precision floating-point number.</param>
/// <param name="result">A <see cref="Matrix2D"/> instance to hold the result.</param>
public static void Subtract(Matrix2D matrix, double scalar, ref Matrix2D result)
{
result.M11 = matrix.M11 - scalar;
result.M12 = matrix.M12 - scalar;
result.M21 = matrix.M21 - scalar;
result.M22 = matrix.M22 - scalar;
}
/// <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>
/// 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;
}