Matrix3x3C Class Reference

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
This class defines a 3x3 Matrix of complex numbers.
Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as complex or Vector3C as well. More...

Public Member Functions
override int	GetHashCode ()
	Returns a hash code for this instance.
	Matrix3x3C ()
	Standard constructor, creates an empty (all zero values) matrix.
	Matrix3x3C (Complex c)
	Constructor to get a diagonal matrix having constant value \(c\) on all diagonal elements.
	Matrix3x3C (Complex m11, Complex m21, Complex m31, Complex m12, Complex m22, Complex m32, Complex m13, Complex m23, Complex m33)
	Constructor taking nine complex to initialize Matrix3x3C.
	Matrix3x3C (Matrix3x3C matC)
	Copy constructor.
	Matrix3x3C (Vector3C firstCol, Vector3C secondCol, Vector3C thirdCol)
	Constructor taking three VectorC to initialize Matrix3x3C.

Static Public Member Functions
static Matrix3x3C	operator* (double b, Matrix3x3C a)
	Multiplies a Matrix3x3C with a scalar.
static Matrix3x3C	operator* (Matrix3x3C a, double b)
	Multiplies a Matrix3x3C with a scalar.
static Matrix3x3C	operator* (Matrix3x3C a, Matrix3x3C b)
	Multiplies the elements of two Matrix3x3C objects.
static Matrix3x3C	operator* (Matrix3x3C a, Matrix3x3D b)
	Multiplies the elements of two 3x3 matrices.
static Vector3C	operator* (Matrix3x3C a, Vector3C vec)
	Multiplies a Matrix with an 3-dim. complex Vector (A*Vec)
static Matrix3x3C	operator* (Matrix3x3D a, Matrix3x3C b)
	Multiplies the elements of two 3x3 matrices objects.
static Matrix3x3C	operator+ (Matrix3x3C a, Matrix3x3C b)
	Adds the elements of two Matrix3x3C objects.
static Matrix3x3C	operator- (Matrix3x3C a, Matrix3x3C b)
	Subtracts the elements of two Matrix3x3C objects.
static bool	operator== (Matrix3x3C a, Matrix3x3C b)
	Compares two matrices. Two matrices are equal when they are equal in all elements.

Public Attributes
Complex[]	_elements
	The field in which the complex elements are stored. Note that indices [1..9] are interpreted mathematical. [0] exists but contains no information. Mapping of rows [1..3] and columns [1..3] to one-dimensional index \(i\) is defined by: \(i := row + 3 * (column-1)\).

Properties
Complex	this[int row, int col] [get, set]
	Gets or sets a certain matrix element.

Detailed Description

This class is subject to change. Programs using this class may require changes with a new version of VirtualLab.
This class defines a 3x3 Matrix of complex numbers.
Operators ( \(a+b\), \(a-b\)). Operator ( \(a*b\)) supports \(b\) as complex or Vector3C as well.

Constructor & Destructor Documentation

Matrix3x3C() [1/5]

Matrix3x3C

(

)

Standard constructor, creates an empty (all zero values) matrix.

Matrix3x3C() [2/5]

Matrix3x3C

(

Complex

c

)

Constructor to get a diagonal matrix having constant value \(c\) on all diagonal elements.

Parameters

c	Value \(c\) used to initialize diagonal elements.

Matrix3x3C() [3/5]

Matrix3x3C

(

Matrix3x3C

matC

)

Copy constructor.

Parameters

matC	Matrix3x3C to be copied.

Matrix3x3C() [4/5]

Matrix3x3C	(	Vector3C	firstCol,
		Vector3C	secondCol,
		Vector3C	thirdCol
	)

Constructor taking three VectorC to initialize Matrix3x3C.

Parameters

firstCol	First column.
secondCol	Second column.
thirdCol	Third column.

Matrix3x3C() [5/5]

Matrix3x3C	(	Complex	m11,
		Complex	m21,
		Complex	m31,
		Complex	m12,
		Complex	m22,
		Complex	m32,
		Complex	m13,
		Complex	m23,
		Complex	m33
	)

Constructor taking nine complex to initialize Matrix3x3C.

Parameters

m11	First element of first column.
m21	Second element of first column.
m31	Third element of first column.
m12	First element of second column.
m22	Second element of second column.
m32	Third element of second column.
m13	First element of third column.
m23	Second element of third column.
m33	Third element of third column.

Member Function Documentation

GetHashCode()

override int GetHashCode

(

)

Returns a hash code for this instance.

Returns

A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.

operator*() [1/6]

static Matrix3x3C operator* ( double  b, Matrix3x3C  a  )

static

Multiplies a Matrix3x3C with a scalar.

Parameters

b	scalar
a	Matrix

Returns

product

operator*() [2/6]

static Matrix3x3C operator* ( Matrix3x3C  a, double  b  )

static

Multiplies a Matrix3x3C with a scalar.

Parameters

a	Matrix
b	scalar

Returns

product

operator*() [3/6]

static Matrix3x3C operator* ( Matrix3x3C  a, Matrix3x3C  b  )

static

Multiplies the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns

The product of the two matrices.

operator*() [4/6]

static Matrix3x3C operator* ( Matrix3x3C  a, Matrix3x3D  b  )

static

Multiplies the elements of two 3x3 matrices.

Parameters

a	the first matrix
b	the second matrix

Returns

The product of the two matrices.

operator*() [5/6]

static Vector3C operator* ( Matrix3x3C  a, Vector3C  vec  )

static

Multiplies a Matrix with an 3-dim. complex Vector (A*Vec)

Parameters

a	3x3-Matrix
vec	Vector3C

Returns

Product: Vector3C

operator*() [6/6]

static Matrix3x3C operator* ( Matrix3x3D  a, Matrix3x3C  b  )

static

Multiplies the elements of two 3x3 matrices objects.

Parameters

a	the first matrix
b	the second matrix

Returns

The product of the two matrices.

operator+()

static Matrix3x3C operator+ ( Matrix3x3C  a, Matrix3x3C  b  )

static

Adds the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns

The sum of the two matrices.

operator-()

static Matrix3x3C operator- ( Matrix3x3C  a, Matrix3x3C  b  )

static

Subtracts the elements of two Matrix3x3C objects.

Parameters

a	the first matrix
b	the second matrix

Returns

The Difference of the two matrices.

operator==()

static bool operator== ( Matrix3x3C  a, Matrix3x3C  b  )

static

Compares two matrices. Two matrices are equal when they are equal in all elements.

Parameters

a	first matrix
b	second matrix

Returns

TRUE if they are equal, otherwise false.

Property Documentation

this[int row, int col]

Complex this[int row, int col]

getset

Gets or sets a certain matrix element.

The selected matrix element.

Parameters

row	The zero-based row index.
col	The zero-based column index.

Returns

The element at the specified matrix position.

Exceptions

System.ArgumentOutOfRangeException

At least one of the two given indices is out of range.