This class implements a 2x2 square matrix. More...

Public Types
typedef T	Type
	Definition of the used data type. More...

Public Member Functions
	SquareMatrixT2 ()
	Creates a new SquareMatrixT2 object with undefined elements. More...

	SquareMatrixT2 (const SquareMatrixT2< T > &matrix)=default
	Copy constructor. More...

template<typename U >
	SquareMatrixT2 (const SquareMatrixT2< U > &matrix)
	Copy constructor for a matrix with difference element data type than T. More...

	SquareMatrixT2 (const bool setToIdentity)
	Creates a new SquareMatrixT2 object. More...

	SquareMatrixT2 (const VectorT2< T > &diagonal)
	Creates a new SquareMatrixT2 object by a given diagonal vector. More...

template<typename U >
	SquareMatrixT2 (const U *arrayValues)
	Creates a new SquareMatrixT2 object by four elements of float type U. More...

	SquareMatrixT2 (const T *arrayValues)
	Creates a new SquareMatrixT2 object by four elements. More...

template<typename U >
	SquareMatrixT2 (const U *arrayValues, const bool valuesRowAligned)
	Creates a new SquareMatrixT2 object by four elements. More...

	SquareMatrixT2 (const T *arrayValues, const bool valuesRowAligned)
	Creates a new SquareMatrixT2 object by four elements. More...

	SquareMatrixT2 (const T &m00, const T &m10, const T &m01, const T &m11)
	Creates a 2x2 rotation matrix by 4 given matrix elements. More...

	SquareMatrixT2 (const T eigenValue0, const T eigenValue1, const VectorT2< T > &eigenVector0, const VectorT2< T > &eigenVector1)
	Creates a covariance matrix by two eigen values and two corresponding eigen vectors. More...

SquareMatrixT2< T >	transposed () const
	Returns the transposed of this matrix. More...

void	transpose ()
	Transposes the matrix. More...

SquareMatrixT2< T >	inverted () const
	Returns the inverted matrix of this matrix. More...

bool	invert ()
	Inverts this matrix in place. More...

bool	invert (SquareMatrixT2< T > &invertedMatrix) const
	Inverts the matrix and returns the result as parameter. More...

T	determinant () const
	Returns the determinant of the matrix. More...

T	trace () const
	Returns the trace of the matrix which is the sum of the diagonal elements. More...

bool	solve (const VectorT2< T > &b, VectorT2< T > &x) const
	Solve a simple 2x2 system of linear equations: Ax = b Beware: The system of linear equations is assumed to be fully determined. More...

void	toIdentity ()
	Sets the matrix to the identity matrix. More...

void	toNull ()
	Sets the matrix to a zero matrix. More...

VectorT2< T >	xAxis () const
	Returns the x axis which is the first column of the matrix. More...

VectorT2< T >	yAxis () const
	Returns the y axis which is the middle column of the matrix. More...

VectorT2< T >	diagonal () const
	Returns a 2D vector with values of the matrix diagonal. More...

T	norm () const
	Returns the norm of this matrix that is the sum of the absolute matrix elements. More...

bool	isNull () const
	Returns whether this matrix is a null matrix. More...

bool	isIdentity () const
	Returns whether this matrix is the identity matrix. More...

bool	isSingular () const
	Returns whether this matrix is singular (and thus cannot be inverted). More...

bool	isSymmetric (const T epsilon=NumericT< T >::eps()) const
	Returns whether this matrix is symmetric. More...

bool	isEqual (const SquareMatrixT2< T > &matrix, const T eps=NumericT< T >::eps()) const
	Returns whether two matrices are almost identical up to a specified epsilon. More...

bool	eigenSystem (T &eigenValue0, T &eigenValue1, VectorT2< T > &eigenVector0, VectorT2< T > &eigenVector1) const
	Performs an eigen value analysis. More...

const T *	data () const
	Returns a pointer to the internal values. More...

T *	data ()
	Returns a pointer to the internal values. More...

template<typename U >
void	copyElements (U *arrayValues, const bool columnAligned=true) const
	Copies the elements of this matrix to an array with floating point values of type U. More...

void	copyElements (T *arrayValues, const bool columnAligned=true) const
	Copies the elements of this matrix to an array with floating point values of type T. More...

SquareMatrixT2< T > &	operator= (const SquareMatrixT2< T > &)=default
	Default copy assignment operator. More...

bool	operator== (const SquareMatrixT2< T > &matrix) const
	Returns whether two matrices are identical up to a small epsilon. More...

bool	operator!= (const SquareMatrixT2< T > &matrix) const
	Returns whether two matrices are not identical up to a small epsilon. More...

SquareMatrixT2< T >	operator+ (const SquareMatrixT2< T > &matrix) const
	Adds two matrices. More...

SquareMatrixT2< T > &	operator+= (const SquareMatrixT2< T > &matrix)
	Adds and assigns two matrices. More...

SquareMatrixT2< T >	operator- (const SquareMatrixT2< T > &matrix) const
	Subtracts two matrices. More...

SquareMatrixT2< T > &	operator-= (const SquareMatrixT2< T > &matrix)
	Subtracts and assigns two matrices. More...

SquareMatrixT2< T >	operator- () const
	Returns the negative matrix of this matrix (all matrix elements are multiplied by -1). More...

SquareMatrixT2< T >	operator* (const SquareMatrixT2< T > &matrix) const
	Multiplies two matrices. More...

SquareMatrixT2< T > &	operator*= (const SquareMatrixT2< T > &matrix)
	Multiplies and assigns two matrices. More...

VectorT2< T >	operator* (const VectorT2< T > &vector) const
	Multiply operator for a 2D vector. More...

SquareMatrixT2< T >	operator* (const T value) const
	Multiplies this matrix with a scalar value. More...

SquareMatrixT2< T > &	operator*= (const T value)
	Multiplies and assigns this matrix with a scalar value. More...

T	operator[] (const unsigned int index) const
	Element operator. More...

T &	operator[] (const unsigned int index)
	Element operator. More...

T	operator() (const unsigned int row, const unsigned int column) const
	Element operator. More...

T &	operator() (const unsigned int row, const unsigned int column)
	Element operator. More...

T	operator() (const unsigned int index) const
	Element operator. More...

T &	operator() (const unsigned int index)
	Element operator. More...

const T *	operator() () const
	Access operator. More...

T *	operator() ()
	Access operator. More...

size_t	operator() (const SquareMatrixT2< T > &matrix) const
	Hash function. More...

std::vector< SquareMatrixT2< float > >	matrices2matrices (const std::vector< SquareMatrixT2< float > > &matrices)

std::vector< SquareMatrixT2< double > >	matrices2matrices (const std::vector< SquareMatrixT2< double > > &matrices)

Static Public Member Functions
static size_t	elements ()
	Returns the number of elements this matrix has. More...

template<typename U >
static std::vector< SquareMatrixT2< T > >	matrices2matrices (const std::vector< SquareMatrixT2< U > > &matrices)
	Converts matrices with specific data type to matrices with different data type. More...

template<typename U >
static std::vector< SquareMatrixT2< T > >	matrices2matrices (const SquareMatrixT2< U > *matrices, const size_t size)
	Converts matrices with specific data type to matrices with different data type. More...

Protected Attributes
T	values [4]
	The four values of the matrix. More...

Friends
template<typename U >
class	SquareMatrixT2

Detailed Description

template<typename T>
class Ocean::SquareMatrixT2< T >

This class implements a 2x2 square matrix.

The four values are stored in a column aligned order with indices:

| 0 2 |
| 1 3 |

Template Parameters

T	Data type of matrix elements

See also: SquareMatrix2, SquareMatrixF2, SquareMatrixD2.

Member Typedef Documentation

◆ Type

template<typename T >

typedef T Ocean::SquareMatrixT2< T >::Type

Definition of the used data type.

Constructor & Destructor Documentation

◆ SquareMatrixT2() [1/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2

inline

Creates a new SquareMatrixT2 object with undefined elements.

Beware: This matrix is neither a zero nor an entity matrix!

◆ SquareMatrixT2() [2/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const SquareMatrixT2< T > & matrix )

default

Copy constructor.

Parameters

matrix The matrix to copy

◆ SquareMatrixT2() [3/11]

template<typename T >

template<typename U >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const SquareMatrixT2< U > & matrix )

inlineexplicit

Copy constructor for a matrix with difference element data type than T.

Parameters

matrix The matrix to copy

Template Parameters

U	The element data type of the second matrix

◆ SquareMatrixT2() [4/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const bool setToIdentity )

inlineexplicit

Creates a new SquareMatrixT2 object.

Parameters

setToIdentity Determines whether an identity matrix will be created, otherwise the matrix is initialized with zeros

◆ SquareMatrixT2() [5/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const VectorT2< T > & diagonal )

inlineexplicit

Creates a new SquareMatrixT2 object by a given diagonal vector.

Parameters

diagonal Diagonal vector for the new matrix

◆ SquareMatrixT2() [6/11]

template<typename T >

template<typename U >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const U * arrayValues )

explicit

Creates a new SquareMatrixT2 object by four elements of float type U.

Parameters

arrayValues The four matrix elements defining the new matrix, must be valid

Template Parameters

U	The floating point type of the given elements

◆ SquareMatrixT2() [7/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2 ( const T * arrayValues )

explicit

Creates a new SquareMatrixT2 object by four elements.

Parameters

arrayValues The four matrix elements defining the new matrix, must be valid

◆ SquareMatrixT2() [8/11]

template<typename T >

template<typename U >

Ocean::SquareMatrixT2< T >::SquareMatrixT2	(	const U *	arrayValues,
		const bool	valuesRowAligned
	)

Creates a new SquareMatrixT2 object by four elements.

Parameters

arrayValues	The four matrix elements defining the new matrix, must be valid
valuesRowAligned	True, if the given values are stored in a row aligned order; False, if the values are stored in a column aligned order (which is the default case for this matrix)

Template Parameters

U	The floating point type of the given elements

◆ SquareMatrixT2() [9/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2	(	const T *	arrayValues,
		const bool	valuesRowAligned
	)

Creates a new SquareMatrixT2 object by four elements.

Parameters

arrayValues	The four matrix elements defining the new matrix, must be valid
valuesRowAligned	True, if the given values are stored in a row aligned order; False, if the values are stored in a column aligned order (which is the default case for this matrix)

◆ SquareMatrixT2() [10/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2	(	const T &	m00,
		const T &	m10,
		const T &	m01,
		const T &	m11
	)

inline

Creates a 2x2 rotation matrix by 4 given matrix elements.

Parameters

m00	Element of the first row and first column
m10	Element of the second row and first column
m01	Element of the first row and second column
m11	Element of the second row and second column

◆ SquareMatrixT2() [11/11]

template<typename T >

Ocean::SquareMatrixT2< T >::SquareMatrixT2	(	const T	eigenValue0,
		const T	eigenValue1,
		const VectorT2< T > &	eigenVector0,
		const VectorT2< T > &	eigenVector1
	)

Creates a covariance matrix by two eigen values and two corresponding eigen vectors.

Parameters

eigenValue0	First eigen value
eigenValue1	Second eigen value
eigenVector0	First eigen vector
eigenVector1	Second eigen vector

Member Function Documentation

◆ copyElements() [1/2]

template<typename T >

void Ocean::SquareMatrixT2< T >::copyElements	(	T *	arrayValues,
		const bool	columnAligned = `true`
	)		const

inline

Copies the elements of this matrix to an array with floating point values of type T.

Parameters

arrayValues	Array with 4 floating point values of type T receiving the elements of this matrix
columnAligned	True, if the target elements are column aligned, false to target row aligned elements

◆ copyElements() [2/2]

template<typename T >

template<typename U >

void Ocean::SquareMatrixT2< T >::copyElements	(	U *	arrayValues,
		const bool	columnAligned = `true`
	)		const

inline

Copies the elements of this matrix to an array with floating point values of type U.

Parameters

arrayValues	Array with 4 floating point values of type U receiving the elements of this matrix
columnAligned	True, if the target elements are column aligned, false to target row aligned elements

Template Parameters

U	Floating point type

◆ data() [1/2]

template<typename T >

T * Ocean::SquareMatrixT2< T >::data

inline

Returns a pointer to the internal values.

Returns: Pointer to the internal values

◆ data() [2/2]

template<typename T >

const T * Ocean::SquareMatrixT2< T >::data

inline

Returns a pointer to the internal values.

Returns: Pointer to the internal values

◆ determinant()

template<typename T >

T Ocean::SquareMatrixT2< T >::determinant

inline

Returns the determinant of the matrix.

Returns: Matrix determinant

◆ diagonal()

template<typename T >

VectorT2< T > Ocean::SquareMatrixT2< T >::diagonal

inline

Returns a 2D vector with values of the matrix diagonal.

Returns: Vector with diagonal values

◆ eigenSystem()

template<typename T >

bool Ocean::SquareMatrixT2< T >::eigenSystem	(	T &	eigenValue0,
		T &	eigenValue1,
		VectorT2< T > &	eigenVector0,
		VectorT2< T > &	eigenVector1
	)		const

Performs an eigen value analysis.

Parameters

eigenValue0	First eigen value
eigenValue1	Second eigen value
eigenVector0	First eigen vector
eigenVector1	Second eigen vector

Returns: True, if succeeded

◆ elements()

template<typename T >

size_t Ocean::SquareMatrixT2< T >::elements

inlinestatic

Returns the number of elements this matrix has.

Returns: The number of elements, always 4

◆ invert() [1/2]

template<typename T >

bool Ocean::SquareMatrixT2< T >::invert

inline

Inverts this matrix in place.

Returns: True, if the matrix is not singular and could be inverted

See also: inverted(), solve().

◆ invert() [2/2]

template<typename T >

bool Ocean::SquareMatrixT2< T >::invert ( SquareMatrixT2< T > & invertedMatrix ) const

inline

Inverts the matrix and returns the result as parameter.

Parameters

invertedMatrix The resulting inverted matrix

Returns: True, if the matrix is not singular and could be inverted

See also: inverted(), solve().

◆ inverted()

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::inverted

inline

Returns the inverted matrix of this matrix.

This matrix must not be singular.
Beware: This function does not throw an exception if the matrix cannot be inverted.
Thus, ensure that the matrix is invertible before calling this function.
Even better: avoid the usage of this function and call invert() instead.
In case, this matrix is not invertible, this matrix will be returned instead.

Returns: The inverted matrix

See also: invert(), isSingular().

◆ isEqual()

template<typename T >

bool Ocean::SquareMatrixT2< T >::isEqual	(	const SquareMatrixT2< T > &	matrix,
		const T	eps = `NumericT<T>::eps()`
	)		const

inline

Returns whether two matrices are almost identical up to a specified epsilon.

Parameters

matrix	Second matrix that will be checked
eps	The epsilon threshold to be used, with range [0, infinity)

Returns: True, if so

◆ isIdentity()

template<typename T >

bool Ocean::SquareMatrixT2< T >::isIdentity

inline

Returns whether this matrix is the identity matrix.

Returns: True, if so

◆ isNull()

template<typename T >

bool Ocean::SquareMatrixT2< T >::isNull

inline

Returns whether this matrix is a null matrix.

Returns: True, if so

◆ isSingular()

template<typename T >

bool Ocean::SquareMatrixT2< T >::isSingular

inline

Returns whether this matrix is singular (and thus cannot be inverted).

A matrix is singular if the determinant of a matrix is 0.

Returns: True, if so

◆ isSymmetric()

template<typename T >

bool Ocean::SquareMatrixT2< T >::isSymmetric ( const T epsilon = NumericT<T>::eps() ) const

inline

Returns whether this matrix is symmetric.

Parameters

epsilon The epsilon threshold to be used, with range [0, infinity)

Returns: True, if so

◆ matrices2matrices() [1/4]

template<typename T >

template<typename U >

std::vector< SquareMatrixT2< T > > Ocean::SquareMatrixT2< T >::matrices2matrices	(	const SquareMatrixT2< U > *	matrices,
		const size_t	size
	)

inlinestatic

Converts matrices with specific data type to matrices with different data type.

Parameters

matrices	The matrices to convert
size	The number of matrices to convert

Returns: The converted matrices

Template Parameters

U	The element data type of the matrices to convert

◆ matrices2matrices() [2/4]

std::vector< SquareMatrixT2< double > > Ocean::SquareMatrixT2< double >::matrices2matrices ( const std::vector< SquareMatrixT2< double > > & matrices )

inline

◆ matrices2matrices() [3/4]

std::vector< SquareMatrixT2< float > > Ocean::SquareMatrixT2< float >::matrices2matrices ( const std::vector< SquareMatrixT2< float > > & matrices )

inline

◆ matrices2matrices() [4/4]

template<typename T >

template<typename U >

std::vector< SquareMatrixT2< T > > Ocean::SquareMatrixT2< T >::matrices2matrices ( const std::vector< SquareMatrixT2< U > > & matrices )

inlinestatic

Converts matrices with specific data type to matrices with different data type.

Parameters

matrices The matrices to convert

Returns: The converted matrices

Template Parameters

U	The element data type of the matrices to convert

◆ norm()

template<typename T >

T Ocean::SquareMatrixT2< T >::norm

inline

Returns the norm of this matrix that is the sum of the absolute matrix elements.

Returns: Matrix norm

◆ operator!=()

template<typename T >

bool Ocean::SquareMatrixT2< T >::operator!= ( const SquareMatrixT2< T > & matrix ) const

inline

Returns whether two matrices are not identical up to a small epsilon.

Parameters

matrix Right operand

Returns: True, if so

◆ operator()() [1/7]

template<typename T >

T * Ocean::SquareMatrixT2< T >::operator()

inline

Access operator.

Returns: Pointer to the internal values

◆ operator()() [2/7]

template<typename T >

const T * Ocean::SquareMatrixT2< T >::operator()

inline

Access operator.

Returns: Pointer to the internal values

◆ operator()() [3/7]

template<typename T >

size_t Ocean::SquareMatrixT2< T >::operator() ( const SquareMatrixT2< T > & matrix ) const

inline

Hash function.

Parameters

matrix The matrix for which the hash value will be determined

Returns: The resulting hash value

◆ operator()() [4/7]

template<typename T >

T & Ocean::SquareMatrixT2< T >::operator() ( const unsigned int index )

inline

Element operator.

Beware: No range check will be done!

Parameters

index Index of the element to return [0, 8]

Returns: Specified element

◆ operator()() [5/7]

template<typename T >

T Ocean::SquareMatrixT2< T >::operator() ( const unsigned int index ) const

inline

Element operator.

Beware: No range check will be done!

Parameters

index Index of the element to return [0, 8]

Returns: Specified element

◆ operator()() [6/7]

template<typename T >

T & Ocean::SquareMatrixT2< T >::operator()	(	const unsigned int	row,
		const unsigned int	column
	)

inline

Element operator.

Beware: No range check will be done!

Parameters

row	Row of the element to return [0, 1]
column	Column of the element to return [0, 1]

Returns: Specified element

◆ operator()() [7/7]

template<typename T >

T Ocean::SquareMatrixT2< T >::operator()	(	const unsigned int	row,
		const unsigned int	column
	)		const

inline

Element operator.

Beware: No range check will be done!

Parameters

row	Row of the element to return [0, 1]
column	Column of the element to return [0, 1]

Returns: Specified element

◆ operator*() [1/3]

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::operator* ( const SquareMatrixT2< T > & matrix ) const

inline

Multiplies two matrices.

Parameters

matrix Right operand

Returns: Product matrix

◆ operator*() [2/3]

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::operator* ( const T value ) const

inline

Multiplies this matrix with a scalar value.

Parameters

value Right operand

Returns: Resulting matrix

◆ operator*() [3/3]

template<typename T >

VectorT2< T > Ocean::SquareMatrixT2< T >::operator* ( const VectorT2< T > & vector ) const

inline

Multiply operator for a 2D vector.

Parameters

vector Right operand

Returns: Resulting 2D vector

◆ operator*=() [1/2]

template<typename T >

SquareMatrixT2< T > & Ocean::SquareMatrixT2< T >::operator*= ( const SquareMatrixT2< T > & matrix )

inline

Multiplies and assigns two matrices.

Parameters

matrix Right operand

Returns: Reference to this object

◆ operator*=() [2/2]

template<typename T >

SquareMatrixT2< T > & Ocean::SquareMatrixT2< T >::operator*= ( const T value )

inline

Multiplies and assigns this matrix with a scalar value.

Parameters

value right operand

Returns: Reference to this object

◆ operator+()

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::operator+ ( const SquareMatrixT2< T > & matrix ) const

inline

Adds two matrices.

Parameters

matrix Right operand

Returns: Sum matrix

◆ operator+=()

template<typename T >

SquareMatrixT2< T > & Ocean::SquareMatrixT2< T >::operator+= ( const SquareMatrixT2< T > & matrix )

inline

Adds and assigns two matrices.

Parameters

matrix Right operand

Returns: Reference to this object

◆ operator-() [1/2]

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::operator-

inline

Returns the negative matrix of this matrix (all matrix elements are multiplied by -1).

Returns: Resulting negative matrix

◆ operator-() [2/2]

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::operator- ( const SquareMatrixT2< T > & matrix ) const

inline

Subtracts two matrices.

Parameters

matrix Right operand

Returns: Difference matrix

◆ operator-=()

template<typename T >

SquareMatrixT2< T > & Ocean::SquareMatrixT2< T >::operator-= ( const SquareMatrixT2< T > & matrix )

inline

Subtracts and assigns two matrices.

Parameters

matrix Right operand

Returns: Reference to this object

◆ operator=()

template<typename T >

SquareMatrixT2<T>& Ocean::SquareMatrixT2< T >::operator= ( const SquareMatrixT2< T > & )

default

Default copy assignment operator.

Returns: Reference to this object

◆ operator==()

template<typename T >

bool Ocean::SquareMatrixT2< T >::operator== ( const SquareMatrixT2< T > & matrix ) const

inline

Returns whether two matrices are identical up to a small epsilon.

Parameters

matrix Right operand

Returns: True, if so

◆ operator[]() [1/2]

template<typename T >

T & Ocean::SquareMatrixT2< T >::operator[] ( const unsigned int index )

inline

Element operator.

Beware: No range check will be done!

Parameters

index Index of the element to return [0, 4]

Returns: Specified element

◆ operator[]() [2/2]

template<typename T >

T Ocean::SquareMatrixT2< T >::operator[] ( const unsigned int index ) const

inline

Element operator.

Beware: No range check will be done!

Parameters

index Index of the element to return [0, 4]

Returns: Specified element

◆ solve()

template<typename T >

bool Ocean::SquareMatrixT2< T >::solve	(	const VectorT2< T > &	b,
		VectorT2< T > &	x
	)		const

inline

Solve a simple 2x2 system of linear equations: Ax = b Beware: The system of linear equations is assumed to be fully determined.

Parameters

b	The right-hand side vector
x	The resulting solution vector

Returns: True, if the system could be solved

See also: invert(), inverted().

◆ toIdentity()

template<typename T >

void Ocean::SquareMatrixT2< T >::toIdentity

inline

Sets the matrix to the identity matrix.

◆ toNull()

template<typename T >

void Ocean::SquareMatrixT2< T >::toNull

inline

Sets the matrix to a zero matrix.

See also: isNull();

◆ trace()

template<typename T >

T Ocean::SquareMatrixT2< T >::trace

inline

Returns the trace of the matrix which is the sum of the diagonal elements.

Returns: Trace of the matrix

◆ transpose()

template<typename T >

void Ocean::SquareMatrixT2< T >::transpose

inline

Transposes the matrix.

◆ transposed()

template<typename T >

SquareMatrixT2< T > Ocean::SquareMatrixT2< T >::transposed

inline

Returns the transposed of this matrix.

Returns: Transposed matrix

◆ xAxis()

template<typename T >

VectorT2< T > Ocean::SquareMatrixT2< T >::xAxis

inline

Returns the x axis which is the first column of the matrix.

Returns: Vector with the first column

◆ yAxis()

template<typename T >

VectorT2< T > Ocean::SquareMatrixT2< T >::yAxis

inline

Returns the y axis which is the middle column of the matrix.

Returns: Vector with the middle column

Friends And Related Function Documentation

◆ SquareMatrixT2

template<typename T >

template<typename U >

friend class SquareMatrixT2

friend

Field Documentation

◆ values

template<typename T >

T Ocean::SquareMatrixT2< T >::values[4]

protected

The four values of the matrix.

The documentation for this class was generated from the following file:

SquareMatrix2.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Friends

Detailed Description

template<typename T> class Ocean::SquareMatrixT2< T >

Member Typedef Documentation

◆ Type

Constructor & Destructor Documentation

◆ SquareMatrixT2() [1/11]

◆ SquareMatrixT2() [2/11]

◆ SquareMatrixT2() [3/11]

◆ SquareMatrixT2() [4/11]

◆ SquareMatrixT2() [5/11]

◆ SquareMatrixT2() [6/11]

◆ SquareMatrixT2() [7/11]

◆ SquareMatrixT2() [8/11]

◆ SquareMatrixT2() [9/11]

◆ SquareMatrixT2() [10/11]

◆ SquareMatrixT2() [11/11]

Member Function Documentation

◆ copyElements() [1/2]

◆ copyElements() [2/2]

◆ data() [1/2]

◆ data() [2/2]

◆ determinant()

◆ diagonal()

◆ eigenSystem()

◆ elements()

◆ invert() [1/2]

◆ invert() [2/2]

◆ inverted()

◆ isEqual()

◆ isIdentity()

◆ isNull()

◆ isSingular()

◆ isSymmetric()

◆ matrices2matrices() [1/4]

◆ matrices2matrices() [2/4]

◆ matrices2matrices() [3/4]

◆ matrices2matrices() [4/4]

◆ norm()

◆ operator!=()

◆ operator()() [1/7]

◆ operator()() [2/7]

◆ operator()() [3/7]

◆ operator()() [4/7]

◆ operator()() [5/7]

◆ operator()() [6/7]

◆ operator()() [7/7]

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ solve()

◆ toIdentity()

◆ toNull()

◆ trace()

◆ transpose()

◆ transposed()

◆ xAxis()

◆ yAxis()

Friends And Related Function Documentation

◆ SquareMatrixT2

Field Documentation

◆ values

template<typename T>
class Ocean::SquareMatrixT2< T >