#include <utl4thOrderTensor.h>

Inheritance diagram for utl::NDArray< T, 4 >:

Collaboration diagram for utl::NDArray< T, 4 >:

Detailed Description

template<class T>
class utl::NDArray< T, 4 >

NDArray<T,4> is a 4th order tensor.

Author: Jian Cheng

Date: 05-22-2016

Definition at line 33 of file utl4thOrderTensor.h.

Public Types
typedef Superclass::ConstIterator	ConstIterator

typedef Superclass::ConstPointer	ConstPointer

typedef Superclass::ConstReference	ConstReference

typedef Superclass::Iterator	Iterator

typedef Superclass::Pointer	Pointer

typedef Superclass::Reference	Reference

typedef Superclass::ScalarValueType	ScalarValueType

typedef NDArray	Self

typedef Superclass::ShapeType	ShapeType

typedef Superclass::SizeType	SizeType

typedef NDArrayBase< T, 4 >	Superclass

typedef Superclass::ValueType	ValueType

Public Types inherited from utl::NDArrayBase< T, 4 >
enum

typedef const ValueType *	ConstIterator

typedef const ValueType *	ConstPointer

typedef const ValueType &	ConstReference

typedef ValueType *	Iterator

typedef ValueType *	Pointer

typedef ValueType &	Reference

typedef utl::remove_complex_t< T >	ScalarValueType

typedef NDArrayBase	Self

typedef Superclass::ShapeType	ShapeType

typedef Superclass::SizeType	SizeType

typedef Expr< NDArrayBase< T, Dim >, T >	Superclass

typedef T	ValueType

Public Types inherited from utl::Expr< NDArrayBase< T, Dim >, T >
typedef SizeType const *	ShapeType

typedef unsigned int	SizeType

typedef T	ValueType

Public Member Functions
void	EigenDecompositionWithMinorSymmetry (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg) const

void	EigenDecompositionWithMinorSymmetry (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg, std::vector< NDArray< T, 2 > > &matRealR, std::vector< NDArray< T, 2 > > &matImgR) const

void	EigenDecompositionWithMinorSymmetry (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg, std::vector< NDArray< T, 2 > > &matRealR, std::vector< NDArray< T, 2 > > &matImgR, std::vector< NDArray< T, 2 > > &matRealL, std::vector< NDArray< T, 2 > > &matImgL) const

NDArray< T, 2 >	GetRefSubMatrix (const int i, const int j) const

bool	IsMajorSymmetric () const

bool	IsMinorSymmetric () const

void	MajorSymmetrize ()

void	MinorSymmetrize ()

	NDArray ()

	NDArray (const NDArray< T, 4 > &mat)

template<typename EType >
	NDArray (const Expr< EType, typename EType::ValueType > &expr)

template<typename TMatrixValueType >
	NDArray (const NDArray< TMatrixValueType, 4 > &r)

	NDArray (NDArray< T, 4 > &&r)

	NDArray (const ShapeType &shape)

	NDArray (const T *vec, const SizeType s0, const SizeType s1, const SizeType s2, const SizeType s3)

	NDArray (const SizeType s0, const SizeType s1, const SizeType s2, const SizeType s3)

	NDArray (const SizeType s0, const SizeType s1, const SizeType s2, const SizeType s3, const T r)

	NDArray (const T *vec, const ShapeType &shape)

	NDArray (const ShapeType &shape, const T r)

Reference	operator() (unsigned int i, unsigned int j, unsigned int k, unsigned int l)

ConstReference	operator() (unsigned int i, unsigned int j, unsigned int k, unsigned int l) const

NDArray< T, 4 > &	operator= (NDArray< T, 4 > &r)

NDArray< T, 4 > &	operator= (NDArray< T, 4 > &&r)

bool	ReSize (const SizeType s0, const SizeType s1, const SizeType s2, const SizeType s3)

Public Member Functions inherited from utl::NDArrayBase< T, 4 >
	__Array_Saver_Scalar (+=) __Array_Saver_Scalar(-

T	AbsoluteMaxValue () const

T	AbsoluteMinValue () const

void	Apply (const FuncT &func, NDArrayBase< T, Dim > &vec) const

void	Apply (T(*f)(T), NDArrayBase< T, Dim > &vec) const

void	Apply (T(*f)(T const &), NDArrayBase< T, Dim > &vec) const

unsigned	ArgAbsoluteMax () const

unsigned	ArgAbsoluteMin () const

unsigned	ArgMax () const

unsigned	ArgMin () const

Reference	Back ()

ConstReference	Back () const

Iterator	Begin ()

ConstIterator	Begin () const

ConstIterator	cBegin () const

ConstIterator	cEnd () const

void	Clear ()

void	CopyData (T *const data, const ShapeType &shape)

NDArrayBase< T, Dim > &	CopyIn (T const *ptr, const int size, const int start=0)

void	CopyOut (T *ptr, const int size, const int start=0) const

ConstReverseIterator	crBegin () const

ConstReverseIterator	crEnd () const

NDArrayBase< T, Dim > &	ElementAbsolute (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementAbsolute (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementAdd (T const vec, T outVec=NULL)

NDArrayBase< T, Dim > &	ElementAxpby (T *const vec, const T alpha, const T beta)

NDArrayBase< T, Dim > &	ElementCos (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementCos (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementDivide (T const vec, T outVec=NULL)

NDArrayBase< T, Dim > &	ElementExp (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementExp (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementInverse (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementInverse (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementMultiply (T const vec, T outVec=NULL)

NDArrayBase< T, Dim > &	ElementSin (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementSin (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementSqrt (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementSqrt (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementSquare (T *outVec=NULL)

NDArrayBase< T, Dim > &	ElementSquare (NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	ElementSubstract (T const vec, T outVec=NULL)

Iterator	End ()

ConstIterator	End () const

T	Eval (int i) const

void	Fill (const T &value)

NDArrayBase< T, Dim > &	Flip ()

T *	GetData ()

const T *	GetData () const

ConstReference	GetElement (unsigned short index) const

NDArrayBase< T, Dim >	GetElementAbsolute () const

NDArrayBase< T, Dim >	GetElementCos () const

NDArrayBase< T, Dim >	GetElementExp () const

NDArrayBase< T, Dim >	GetElementInverse () const

NDArrayBase< T, Dim >	GetElementSin () const

NDArrayBase< T, Dim >	GetElementSqrt () const

NDArrayBase< T, Dim >	GetElementSquare () const

void	GetIndex (const SizeType offset, SizeType index[Dimension]) const

double	GetInfNorm () const

bool	GetIsShared () const

T	GetMean () const

T	GetMedian () const

SizeType	GetOffset (const ShapeType &shapeIndex) const

const SizeType *	GetOffSetTable () const

double	GetOneNorm () const

NDArray< T, SubDimension >	GetRefSubArray (const int i) const

NDArray< T, Dim >	GetRefSubArray (const int istart, const int iend) const

double	GetRootMeanSquares () const

const ShapeType	GetShape () const

SizeType	GetSize () const

double	GetSquaredTwoNorm () const

T	GetSum () const

double	GetTwoNorm () const

int	GetZeroNorm (const double eps=1e-10) const

void	HardThreshold (const double threshold)

ValueType	InnerProduct (const NDArrayBase< T, Dim > &vec) const

bool	IsEmpty () const

bool	IsEqual (const NDArrayBase< T, Dim > &r, const double eps) const

bool	IsSameShape (const EType &src) const

bool	IsSameShape (const ShapeType &shape) const

bool	IsSameSize (const ShapeType &shape) const

bool	IsSameValues (const NDArrayBase< T, Dim > &r, const double eps) const

bool	IsZero () const

T	MaxValue () const

T	MinValue () const

	NDArrayBase ()

	NDArrayBase (const ShapeType &shape)

	NDArrayBase (const NDArrayBase< T, Dim > &vec)

	NDArrayBase (NDArrayBase< T, Dim > &&vec)

	NDArrayBase (const Expr< EType, typename EType::ValueType > &expr)

	NDArrayBase (const T *vec, const ShapeType &shape)

	NDArrayBase (const ShapeType &shape, const T r)

	NDArrayBase (const NDArrayBase< TValue, Dim > &r)

int	NNZ (const double eps=1e-10) const

NDArrayBase< T, Dim > &	operator saver (const T val)

bool	operator!= (const NDArrayBase< T, Dim > &r) const

NDArrayBase< T, Dim > &	operator%= (const Expr< EType, typename EType::ValueType > &src)

NDArrayBase< T, Dim > &	operator%= (const NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	operator%= (const T val)

Reference	operator() (const ShapeType &shape)

ConstReference	operator() (const ShapeType &shape) const

NDArrayBase< T, Dim > &	operator+= (const Expr< EType, typename EType::ValueType > &src)

NDArrayBase< T, Dim > &	operator+= (const NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	operator-= (const Expr< EType, typename EType::ValueType > &src)

NDArrayBase< T, Dim > &	operator-= (const NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	operator/= (const Expr< EType, typename EType::ValueType > &src)

NDArrayBase< T, Dim > &	operator/= (const NDArrayBase< T, Dim > &vec)

NDArrayBase< T, Dim > &	operator/= (const T val)

NDArrayBase< T, Dim > &	operator= (const Expr< EType, typename EType::ValueType > &src)

Dim &	operator= (const NDArrayBase< T, Dim > &r)

NDArrayBase< T, Dim > &	operator= (NDArrayBase< T, Dim > &&r)

NDArrayBase< T, Dim > &	operator= (const NDArrayBase< TValueType, Dim > &r)

NDArrayBase< T, Dim > &	operator= (const std::initializer_list< T > &r)

NDArrayBase< T, Dim > &	operator= (const std::vector< T > &r)

NDArrayBase< T, Dim > &	operator= (const T r)

bool	operator== (const NDArrayBase< T, Dim > &r) const

Reference	operator[] (short index)

ConstReference	operator[] (short index) const

Reference	operator[] (unsigned short index)

ConstReference	operator[] (unsigned short index) const

Reference	operator[] (int index)

ConstReference	operator[] (int index) const

Reference	operator[] (unsigned int index)

ConstReference	operator[] (unsigned int index) const

Reference	operator[] (long index)

ConstReference	operator[] (long index) const

Reference	operator[] (unsigned long index)

ConstReference	operator[] (unsigned long index) const

Reference	operator[] (long long index)

ConstReference	operator[] (long long index) const

Reference	operator[] (unsigned long long index)

ConstReference	operator[] (unsigned long long index) const

void	Print (std::ostream &os, const char *separate=" ") const

void	PrintInfo (std::ostream &os, const char *separate=" ") const

void	PrintWithIndex (std::ostream &os, const char *separate=" ") const

ReverseIterator	rBegin ()

ConstReverseIterator	rBegin () const

ReverseIterator	rEnd ()

ConstReverseIterator	rEnd () const

NDArrayBase< T, Dim > &	ReShape (const ShapeType &shape)

bool	ReSize (const ShapeType &shape)

NDArrayBase< T, Dim > &	Scale (const T a)

void	SetData (T *const data, const ShapeType &shape)

void	SetElement (unsigned short index, ConstReference value)

SizeType	Size () const

void	SoftThreshold (const double threshold)

void	Swap (NDArrayBase< T, Dim > &vec)

	~NDArrayBase ()

Public Member Functions inherited from utl::Expr< NDArrayBase< T, Dim >, T >
const NDArrayBase< T, Dim > &	ConstRef (void) const

const ShapeType	GetShape () const

NDArrayBase< T, Dim > &	Ref (void)

Additional Inherited Members
Static Public Member Functions inherited from utl::NDArrayBase< T, 4 >
static constexpr SizeType	GetDimension ()

Static Public Member Functions inherited from utl::Expr< NDArrayBase< T, Dim >, T >
static SizeType	GetDimension ()

Static Public Attributes inherited from utl::NDArrayBase< T, 4 >
static constexpr SizeType	SubDimension

Protected Member Functions inherited from utl::NDArrayBase< T, 4 >
void	ClearData ()

void	ClearShape ()

void	ComputeOffSetTable ()

Protected Attributes inherited from utl::NDArrayBase< T, 4 >
T *	m_Data

bool	m_IsShared

SizeType	m_OffSetTable [Dimension]

SizeType	m_Shape [Dimension]

Member Typedef Documentation

template<class T >

typedef Superclass::ConstIterator utl::NDArray< T, 4 >::ConstIterator

Definition at line 49 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::ConstPointer utl::NDArray< T, 4 >::ConstPointer

Definition at line 45 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::ConstReference utl::NDArray< T, 4 >::ConstReference

Definition at line 47 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::Iterator utl::NDArray< T, 4 >::Iterator

Definition at line 48 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::Pointer utl::NDArray< T, 4 >::Pointer

Definition at line 44 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::Reference utl::NDArray< T, 4 >::Reference

Definition at line 46 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::ScalarValueType utl::NDArray< T, 4 >::ScalarValueType

Definition at line 40 of file utl4thOrderTensor.h.

template<class T >

typedef NDArray utl::NDArray< T, 4 >::Self

Definition at line 36 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::ShapeType utl::NDArray< T, 4 >::ShapeType

Definition at line 43 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::SizeType utl::NDArray< T, 4 >::SizeType

Definition at line 42 of file utl4thOrderTensor.h.

template<class T >

typedef NDArrayBase<T,4> utl::NDArray< T, 4 >::Superclass

Definition at line 37 of file utl4thOrderTensor.h.

template<class T >

typedef Superclass::ValueType utl::NDArray< T, 4 >::ValueType

Definition at line 39 of file utl4thOrderTensor.h.

Constructor & Destructor Documentation

template<class T >

utl::NDArray< T, 4 >::NDArray ( )

inline

Definition at line 64 of file utl4thOrderTensor.h.

template<class T >

utl::NDArray< T, 4 >::NDArray ( const NDArray< T, 4 > & mat )

inline

Definition at line 66 of file utl4thOrderTensor.h.

template<class T >

template<typename EType >

utl::NDArray< T, 4 >::NDArray ( const Expr< EType, typename EType::ValueType > & expr )

inline

Definition at line 69 of file utl4thOrderTensor.h.

template<class T >

template<typename TMatrixValueType >

utl::NDArray< T, 4 >::NDArray ( const NDArray< TMatrixValueType, 4 > & r )

inline

Definition at line 73 of file utl4thOrderTensor.h.

template<class T >

utl::NDArray< T, 4 >::NDArray ( NDArray< T, 4 > && r )

inline

Definition at line 76 of file utl4thOrderTensor.h.

References utl::NDArray< T, Dim >::operator=().

Here is the call graph for this function:

template<class T >

utl::NDArray< T, 4 >::NDArray ( const ShapeType & shape )

inlineexplicit

Definition at line 81 of file utl4thOrderTensor.h.

template<class T >

utl::NDArray< T, 4 >::NDArray	(	const T *	vec,
		const SizeType	s0,
		const SizeType	s1,
		const SizeType	s2,
		const SizeType	s3
	)

inline

Definition at line 83 of file utl4thOrderTensor.h.

References __utl_ndarray_alloc_blah, utl::NDArrayBase< T, Dim >::m_Data, and utl::NDArrayBase< T, Dim >::Size().

Here is the call graph for this function:

template<class T >

utl::NDArray< T, 4 >::NDArray	(	const SizeType	s0,
		const SizeType	s1,
		const SizeType	s2,
		const SizeType	s3
	)

inline

Definition at line 91 of file utl4thOrderTensor.h.

References __utl_ndarray_alloc_blah.

template<class T >

utl::NDArray< T, 4 >::NDArray	(	const SizeType	s0,
		const SizeType	s1,
		const SizeType	s2,
		const SizeType	s3,
		const T	r
	)

inline

Definition at line 98 of file utl4thOrderTensor.h.

References __utl_ndarray_alloc_blah, and utl::NDArrayBase< T, Dim >::Fill().

Here is the call graph for this function:

template<class T >

utl::NDArray< T, 4 >::NDArray	(	const T *	vec,
		const ShapeType &	shape
	)

inline

Constructor assumes input points to array of correct size. Values are copied individually instead of with a binary copy. This allows the T's assignment operator to be executed.

Definition at line 111 of file utl4thOrderTensor.h.

template<class T >

utl::NDArray< T, 4 >::NDArray	(	const ShapeType &	shape,
		const T	r
	)

inline

Constructor to initialize entire array to one value.

Definition at line 116 of file utl4thOrderTensor.h.

Member Function Documentation

template<class T >

void utl::NDArray< T, 4 >::EigenDecompositionWithMinorSymmetry	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg
	)		const

inline

Definition at line 294 of file utl4thOrderTensor.h.

References utl::Convert4To2Tensor(), utl::NDArray< T, 2 >::EigenDecompositionNonSymmetricMatrix(), utl::NDArrayBase< T, Dim >::m_Shape, and utlException.

Here is the call graph for this function:

template<class T >

void utl::NDArray< T, 4 >::EigenDecompositionWithMinorSymmetry	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg,
		std::vector< NDArray< T, 2 > > &	matRealR,
		std::vector< NDArray< T, 2 > > &	matImgR
	)		const

inline

Definition at line 302 of file utl4thOrderTensor.h.

References utl::Convert1To2Tensor(), utl::Convert4To2Tensor(), utl::NDArray< T, 2 >::EigenDecompositionNonSymmetricMatrix(), utl::NDArrayBase< T, Dim >::m_Shape, utl::NDArrayBase< T, Dim >::Size(), and utlException.

Here is the call graph for this function:

template<class T >

void utl::NDArray< T, 4 >::EigenDecompositionWithMinorSymmetry	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg,
		std::vector< NDArray< T, 2 > > &	matRealR,
		std::vector< NDArray< T, 2 > > &	matImgR,
		std::vector< NDArray< T, 2 > > &	matRealL,
		std::vector< NDArray< T, 2 > > &	matImgL
	)		const