Matrix2D Struct Reference

Double precision 2x2 Matrix struct. More...

Public Member Functions
	Matrix2D (double a11, double a12, double a21, double a22)
	Construct a 2x2 matrix. More...
	Matrix2D (Angle rotation)
	Construct a 2x2 matrix that represents a rotation. More...
	Matrix2D (Angle rotation, double scale)
	Construct a 2x2 matrix that is a combination of a rotation and scale operation. More...
	Matrix2D (double scale)
	Construct a 2x2 matrix that represents a scaling. More...
	Matrix2D (double scaleX, double scaleY)
	Constructs a 2x2 matrix that represent a scaling with different scaling in x and y directions. More...
	Matrix2D (Point2Dd column1, Point2Dd column2)
	Construct a 2x2 matrix from two column vectors. More...
void	Invert ()
	Invert this matrix if possible. More...
override bool	Equals (object obj)
	Comparison function. More...
override int	GetHashCode ()
	Hash code. More...
override string	ToString ()
	String conversion. More...

Static Public Member Functions
static Matrix2D	operator- (Matrix2D lhs, Matrix2D rhs)
	Subtraction operator for MatrixD structs. More...
static Matrix2D	operator+ (Matrix2D lhs, Matrix2D rhs)
	Addition operator for MatrixD structs. More...
static Matrix2D	operator* (Matrix2D lhs, Matrix2D rhs)
	Multiplication operator for MatrixD structs. More...
static bool	operator!= (Matrix2D lhs, Matrix2D rhs)
	Comparison operator for MatrixD structs. More...
static bool	operator== (Matrix2D lhs, Matrix2D rhs)
	Comparison operator for MatrixD structs. More...
static Matrix2D	operator* (double lhs, Matrix2D rhs)
	Multiplication operator between MatrixD and scalar. More...

Static Public Attributes
static readonly Matrix2D	Identity = new Matrix2D(1.0, 0.0, 0.0, 1.0)
	1-element for matrix operations.
static readonly Matrix2D	Empty = new Matrix2D()
	0-element for matrix operations.

Properties
double	A11 [get, set]
	Top left matrix element.
double	A12 [get, set]
	Top right matrix element.
double	A21 [get, set]
	Bottom left matrix element.
double	A22 [get, set]
	Bottom right matrix element.
double	this[int row, int column] [get, set]
	Index access. More...
double	Det [get]
	Matrix determinant.

Detailed Description

Double precision 2x2 Matrix struct.

Constructor & Destructor Documentation

Matrix2D() [1/6]

Matrix2D	(	double	a11,
		double	a12,
		double	a21,
		double	a22
	)

Construct a 2x2 matrix.

Parameters

a11	Top left matrix element
a12	Top right matrix element
a21	Bottom left matrix element
a22	Bottom right matrix element

Matrix2D() [2/6]

Matrix2D

(

Angle

rotation

)

Construct a 2x2 matrix that represents a rotation.

Parameters

rotation

Angle of the rotation

Matrix2D() [3/6]

Matrix2D	(	Angle	rotation,
		double	scale
	)

Construct a 2x2 matrix that is a combination of a rotation and scale operation.

Parameters

rotation	Rotation angle to create the matrix for
scale	Scale factor to create the matrix for

Matrix2D() [4/6]

Matrix2D

(

double

scale

)

Construct a 2x2 matrix that represents a scaling.

Parameters

scale

Scale factor to create the matrix for.

Matrix2D() [5/6]

Matrix2D	(	double	scaleX,
		double	scaleY
	)

Constructs a 2x2 matrix that represent a scaling with different scaling in x and y directions.

Parameters

scaleX	Scale factor in X direction to create the matrix for.
scaleY	Scale factor in Y direction to create the matrix for.

Matrix2D() [6/6]

Matrix2D	(	Point2Dd	column1,
		Point2Dd	column2
	)

Construct a 2x2 matrix from two column vectors.

Parameters

column1	Column vector one
column2	Columns vector two

Member Function Documentation

Equals()

override bool Equals

(

object

obj

)

Comparison function.

Parameters

obj	Object to compare to

Returns

true if obj == this, false otherwise

GetHashCode()

override int GetHashCode

(

)

Hash code.

Returns

hash code

Invert()

void Invert

(

)

Invert this matrix if possible.

Exceptions

DivideByZeroException

If the matrix cannot be inverted.

operator!=()

static bool operator!= ( Matrix2D  lhs, Matrix2D  rhs  )

static

Comparison operator for MatrixD structs.

Parameters

lhs	Left hand side operand
rhs	Right hand side operand

Returns

true lhs != rhs, false otherwise

operator*() [1/2]

static Matrix2D operator* ( double  lhs, Matrix2D  rhs  )

static

Multiplication operator between MatrixD and scalar.

Parameters

lhs	Scalar to multiply the matrix with.
rhs	Matrix to be multiplied.

Returns

Multiplication result.

operator*() [2/2]

static Matrix2D operator* ( Matrix2D  lhs, Matrix2D  rhs  )

static

Multiplication operator for MatrixD structs.

Parameters

lhs	Left hand side operand
rhs	Right hand side operand

Returns

Product of lhs and rhs .

operator+()

static Matrix2D operator+ ( Matrix2D  lhs, Matrix2D  rhs  )

static

Addition operator for MatrixD structs.

Parameters

lhs	Left hand side operand
rhs	Right hand side operand

Returns

Sum of lhs and rhs .

operator-()

static Matrix2D operator- ( Matrix2D  lhs, Matrix2D  rhs  )

static

Subtraction operator for MatrixD structs.

Parameters

lhs	Left hand side operand
rhs	Right hand side operand

Returns

Difference of lhs and rhs .

operator==()

static bool operator== ( Matrix2D  lhs, Matrix2D  rhs  )

static

Comparison operator for MatrixD structs.

Parameters

lhs	Left hand side operand
rhs	Right hand side operand

Returns

true lhs == rhs, false otherwise

ToString()

override string ToString

(

)

String conversion.

Returns

string representation of this MatrixD

Property Documentation

this[int row, int column]

double this[int row, int column]

getset

Index access.

Parameters

row	The row, or "Y" index to get.
column	The column, or "X" index to get.

Returns

Value at the specified position.