#include <utlMatrix.h>

Inheritance diagram for utl::NDArray< T, 2 >:

Collaboration diagram for utl::NDArray< T, 2 >:

Detailed Description

template<class T>
class utl::NDArray< T, 2 >

NDArray<T,2> is a row-major matrix.

Author: Jian Cheng (JC), jian..nosp@m.chen.nosp@m.g.198.nosp@m.3@gm.nosp@m.ail.c.nosp@m.om

Date: 08-23-2014

Definition at line 37 of file utlMatrix.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, 2 >	Superclass

typedef Superclass::ValueType	ValueType

Public Types inherited from utl::NDArrayBase< T, 2 >
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
SizeType	Cols () const

SizeType	Columns () const

void	CopyData (T *const data, const unsigned rows, const unsigned cols)

T	Determinant () const

void	EigenDecompositionNonSymmetricMatrix (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg) const

void	EigenDecompositionNonSymmetricMatrix (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg, NDArray< T, 2 > &vecRealR, NDArray< T, 2 > &vecImgR) const

void	EigenDecompositionNonSymmetricMatrix (NDArray< T, 1 > &valReal, NDArray< T, 1 > &valImg, NDArray< T, 2 > &vecRealR, NDArray< T, 2 > &vecImgR, NDArray< T, 2 > &vecRealL, NDArray< T, 2 > &vecImgL) const

void	EigenDecompositionSymmetricMatrix (NDArray< T, 1 > &eigenValues, NDArray< T, 2 > &eigenVectors) const

NDArray< T, 2 >	ExpM ()

NDArray< T, 2 > &	FillDiagonal (const T val)

double	GetArrayInfNorm () const

double	GetArrayOneNorm () const

double	GetArrayTwoNorm () const

int	GetArrayZeroNorm () const

void	GetColumn (const int index, T *vec) const

NDArray< T, 1 >	GetColumn (const int index) const

NDArray< T, 2 >	GetColumns (const std::vector< int > &indexVec) const

NDArray< T, 2 >	GetConjugateTranspose (const T scale=1.0) const

NDArray< T, 2 >	GetCrop (const int x0, const int x1, const int y0, const int y1) const

void	GetDiagonal (NDArray< T, 1 > &vec) const

double	GetInfNorm () const

NDArray< T, 2 >	GetNColumns (const int index0, const int N) const

NDArray< T, 2 >	GetNRows (const int index0, const int N) const

double	GetOneNorm () const

void	GetRow (const int index, T *vec) const

NDArray< T, 1 >	GetRow (const int index) const

NDArray< T, 2 >	GetRows (const std::vector< int > &indexVec) const

NDArray< T, 2 >	GetTranspose (const T scale=1.0) const

double	GetTwoNorm () const

NDArray< T, 2 >	InverseMatrix (const double eps=1e-10)

NDArray< T, 2 >	InverseSymmericMatrix (const double eps=1e-10)

bool	IsSquareMatrix () const

bool	IsSymmetric (const double eps=1e-10) const

NDArray< T, 2 >	LogM ()

	NDArray ()

	NDArray (const SizeType rows, const SizeType columns)

	NDArray (const NDArray< T, 2 > &mat)

	NDArray (NDArray< T, 2 > &&mat)

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

	NDArray (const T *vec, const SizeType rows, const SizeType columns)

	NDArray (const SizeType rows, const SizeType columns, const T r)

template<typename TMatrixValueType >
	NDArray (const NDArray< TMatrixValueType, 2 > &r)

	NDArray (const ShapeType &shape)

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

	NDArray (const ShapeType &shape, const T r)

T &	operator() (unsigned int row, unsigned int col)

const T &	operator() (unsigned int row, unsigned int col) const

NDArray< T, 2 > &	operator= (NDArray< T, 2 > &r)

NDArray< T, 2 > &	operator= (NDArray< T, 2 > &&r)

NDArray< T, 2 >	PInverseMatrix (const double eps=1e-10)

NDArray< T, 2 >	PInverseSymmericMatrix (const double eps=1e-10)

bool	ReSize (const SizeType rows, const SizeType cols)

SizeType	Rows () const

void	Save (const std::string &file) const

NDArray< T, 2 > &	SetColumn (const int index, T const *vec)

NDArray< T, 2 > &	SetColumn (const int index, const NDArray< T, 1 > &vec)

NDArray< T, 2 > &	SetColumns (const std::vector< int > &indexVec, const NDArray< T, 2 > &mat)

NDArray< T, 2 > &	SetCrop (const int x0, const int x1, const int y0, const int y1, const NDArray< T, 2 > &mat)

void	SetData (T *const data, const unsigned rows, const unsigned cols)

NDArray< T, 2 > &	SetDiagonal (const NDArray< T, 1 > &vec)

NDArray< T, 2 >	SetIdentity ()

NDArray< T, 2 > &	SetRow (const int index, T const *vec)

NDArray< T, 2 > &	SetRow (const int index, const NDArray< T, 1 > &vec)

NDArray< T, 2 > &	SetRows (const std::vector< int > &indexVec, const NDArray< T, 2 > &mat)

void	SVD (NDArray< T, 2 > &U, NDArray< ScalarValueType, 1 > &S, NDArray< T, 2 > &V, char format='S') const

void	Symmetrize ()

NDArray< T, 2 > &	TransposeInplace (const T scale=1.0)

Public Member Functions inherited from utl::NDArrayBase< T, 2 >
	__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, 2 >
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, 2 >
static constexpr SizeType	SubDimension

Protected Member Functions inherited from utl::NDArrayBase< T, 2 >
void	ClearData ()

void	ClearShape ()

void	ComputeOffSetTable ()

Protected Attributes inherited from utl::NDArrayBase< T, 2 >
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, 2 >::ConstIterator

Definition at line 53 of file utlMatrix.h.

template<class T>

typedef Superclass::ConstPointer utl::NDArray< T, 2 >::ConstPointer

Definition at line 49 of file utlMatrix.h.

template<class T>

typedef Superclass::ConstReference utl::NDArray< T, 2 >::ConstReference

Definition at line 51 of file utlMatrix.h.

template<class T>

typedef Superclass::Iterator utl::NDArray< T, 2 >::Iterator

Definition at line 52 of file utlMatrix.h.

template<class T>

typedef Superclass::Pointer utl::NDArray< T, 2 >::Pointer

Definition at line 48 of file utlMatrix.h.

template<class T>

typedef Superclass::Reference utl::NDArray< T, 2 >::Reference

Definition at line 50 of file utlMatrix.h.

template<class T>

typedef Superclass::ScalarValueType utl::NDArray< T, 2 >::ScalarValueType

Definition at line 44 of file utlMatrix.h.

template<class T>

typedef NDArray utl::NDArray< T, 2 >::Self

Definition at line 40 of file utlMatrix.h.

template<class T>

typedef Superclass::ShapeType utl::NDArray< T, 2 >::ShapeType

Definition at line 47 of file utlMatrix.h.

template<class T>

typedef Superclass::SizeType utl::NDArray< T, 2 >::SizeType

Definition at line 46 of file utlMatrix.h.

template<class T>

typedef NDArrayBase<T,2> utl::NDArray< T, 2 >::Superclass

Definition at line 41 of file utlMatrix.h.

template<class T>

typedef Superclass::ValueType utl::NDArray< T, 2 >::ValueType

Definition at line 43 of file utlMatrix.h.

Constructor & Destructor Documentation

template<class T>

utl::NDArray< T, 2 >::NDArray ( )

inline

Definition at line 68 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::NDArray	(	const SizeType	rows,
		const SizeType	columns
	)

inlineexplicit

Definition at line 70 of file utlMatrix.h.

References __utl_ndarray_alloc_blah.

template<class T>

utl::NDArray< T, 2 >::NDArray ( const NDArray< T, 2 > & mat )

inline

Definition at line 76 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::NDArray ( NDArray< T, 2 > && mat )

inline

Definition at line 79 of file utlMatrix.h.

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

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template<class T>

template<typename EType >

utl::NDArray< T, 2 >::NDArray ( const Expr< EType, typename EType::ValueType > & expr )

inline

Definition at line 85 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::NDArray	(	const T *	vec,
		const SizeType	rows,
		const SizeType	columns
	)

inline

Definition at line 87 of file utlMatrix.h.

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

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template<class T>

utl::NDArray< T, 2 >::NDArray	(	const SizeType	rows,
		const SizeType	columns,
		const T	r
	)

inline

Definition at line 94 of file utlMatrix.h.

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

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template<class T>

template<typename TMatrixValueType >

utl::NDArray< T, 2 >::NDArray ( const NDArray< TMatrixValueType, 2 > & r )

inline

Definition at line 103 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::NDArray ( const ShapeType & shape )

inlineexplicit

Definition at line 106 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::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 113 of file utlMatrix.h.

template<class T>

utl::NDArray< T, 2 >::NDArray	(	const ShapeType &	shape,
		const T	r
	)

inline

Constructor to initialize entire array to one value.

Definition at line 118 of file utlMatrix.h.

Member Function Documentation

template<class T>

SizeType utl::NDArray< T, 2 >::Cols ( ) const

inline

Definition at line 138 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

Referenced by utl::Convert2To1Tensor(), utl::Convert2To4Tensor(), utl::gesdd_UtlMatrix(), utl::gesvd_UtlMatrix(), GetCrop(), utl::InnerProduct(), utl::InverseMatrix(), utl::InverseSymmericMatrix(), utl::NormalizeGrad(), utl::operator*(), utl::PInverseSymmericMatrix(), utl::RotationMatrixToAxisAngle(), SetCrop(), utl::syev_UtlMatrix(), utl::syevd_UtlMatrix(), and utl::UtlMatrixToVnlMatrix().

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template<class T>

SizeType utl::NDArray< T, 2 >::Columns ( ) const

inline

Definition at line 137 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

Referenced by utl::CartesianToSpherical(), utl::ComputeSHMatrix(), utl::ConnectUtlMatrix(), utl::FlipOrientations(), utl::GetMXArrayFromUtlMatrix(), utl::GetUtlMatrixFromMXArray(), utl::MatchBVectorAndGradientMatrix(), spams::MatrixToUtlMatrix(), utl::SphericalToCartesian(), and spams::UtlMatrixToMatrix().

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template<class T>

void utl::NDArray< T, 2 >::CopyData	(	T *const	data,
		const unsigned	rows,
		const unsigned	cols
	)

inline

copy m_Data from data

Definition at line 198 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::CopyData().

Referenced by utl::VnlMatrixToUtlMatrix().

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template<class T>

T utl::NDArray< T, 2 >::Determinant ( ) const

inline

Definition at line 441 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utlException.

template<class T>

void utl::NDArray< T, 2 >::EigenDecompositionNonSymmetricMatrix	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg
	)		const

inline

Definition at line 408 of file utlMatrix.h.

References utl::geev_UtlMatrix().

Referenced by utl::NDArray< T, 4 >::EigenDecompositionWithMinorSymmetry().

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template<class T>

void utl::NDArray< T, 2 >::EigenDecompositionNonSymmetricMatrix	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg,
		NDArray< T, 2 > &	vecRealR,
		NDArray< T, 2 > &	vecImgR
	)		const

inline

Definition at line 412 of file utlMatrix.h.

References utl::geev_UtlMatrix().

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template<class T>

void utl::NDArray< T, 2 >::EigenDecompositionNonSymmetricMatrix	(	NDArray< T, 1 > &	valReal,
		NDArray< T, 1 > &	valImg,
		NDArray< T, 2 > &	vecRealR,
		NDArray< T, 2 > &	vecImgR,
		NDArray< T, 2 > &	vecRealL,
		NDArray< T, 2 > &	vecImgL
	)		const

inline

Definition at line 416 of file utlMatrix.h.

References utl::geev_UtlMatrix().

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template<class T>

void utl::NDArray< T, 2 >::EigenDecompositionSymmetricMatrix	(	NDArray< T, 1 > &	eigenValues,
		NDArray< T, 2 > &	eigenVectors
	)		const

inline

Eigen-decomposition for symmetric matrix.

Parameters

eigenValues	Eigen-values are in increasing order.
eigenVectors	Eigen-vectors. each row is an eigen-vector

Definition at line 396 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape, and utlSAException.

Referenced by utl::MeanDirector(), and utl::PInverseSymmericMatrix().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::ExpM ( )

inline

Assume the matrix is symmetric

Definition at line 523 of file utlMatrix.h.

References utl::NDArray< T, 1 >::GetDiagonalMatrix(), GetTranspose(), and utl::NDArrayBase< T, Dim >::Size().

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::FillDiagonal ( const T val )

inline

set diagonal values to val

Definition at line 155 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape, and utl::min().

Referenced by utl::Eye().

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template<class T>

double utl::NDArray< T, 2 >::GetArrayInfNorm ( ) const

inline

Definition at line 555 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetInfNorm().

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template<class T>

double utl::NDArray< T, 2 >::GetArrayOneNorm ( ) const

inline

Definition at line 553 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetOneNorm().

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template<class T>

double utl::NDArray< T, 2 >::GetArrayTwoNorm ( ) const

inline

Definition at line 554 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetTwoNorm().

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template<class T>

int utl::NDArray< T, 2 >::GetArrayZeroNorm ( ) const

inline

Definition at line 556 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetZeroNorm().

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template<class T>

void utl::NDArray< T, 2 >::GetColumn	(	const int	index,
		T *	vec
	)		const

inline

Definition at line 277 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utlSAException.

Referenced by utl::RotationMatrixToAxisAngle(), and SetColumns().

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template<class T>

NDArray<T,1> utl::NDArray< T, 2 >::GetColumn ( const int index ) const

inline

Definition at line 282 of file utlMatrix.h.

References utl::GetColumn(), utl::NDArrayBase< T, Dim >::GetData(), and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetColumns ( const std::vector< int > & indexVec ) const

inline

Definition at line 303 of file utlMatrix.h.

References utl::GetColumn(), and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetConjugateTranspose ( const T scale = 1.0 ) const

inline

Definition at line 219 of file utlMatrix.h.

References utl::Conj().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetCrop	(	const int	x0,
		const int	x1,
		const int	y0,
		const int	y1
	)		const

inline

get a submatrix

Parameters

x0	starting row index
x1	ending row index
y0	starting column index
y1	ending column index

Definition at line 348 of file utlMatrix.h.

References Cols(), utl::NDArrayBase< T, Dim >::m_Shape, Rows(), and utlSAException.

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template<class T>

void utl::NDArray< T, 2 >::GetDiagonal ( NDArray< T, 1 > & vec ) const

inline

Definition at line 173 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape, utl::min(), and utl::NDArray< T, 1 >::ReSize().

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template<class T>

double utl::NDArray< T, 2 >::GetInfNorm ( ) const

inline

Definition at line 561 of file utlMatrix.h.

References utl::lange(), utl::NDArrayBase< T, Dim >::m_Data, and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetNColumns	(	const int	index0,
		const int	N
	)		const

inline

Definition at line 314 of file utlMatrix.h.

template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetNRows	(	const int	index0,
		const int	N
	)		const

inline

Definition at line 296 of file utlMatrix.h.

template<class T>

double utl::NDArray< T, 2 >::GetOneNorm ( ) const

inline

Definition at line 559 of file utlMatrix.h.

References utl::lange(), utl::NDArrayBase< T, Dim >::m_Data, and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

void utl::NDArray< T, 2 >::GetRow	(	const int	index,
		T *	vec
	)		const

inline

Definition at line 266 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utlSAException.

Referenced by utl::MeanDirector(), utl::NormalizeGrad(), and SetRows().

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template<class T>

NDArray<T,1> utl::NDArray< T, 2 >::GetRow ( const int index ) const

inline

Definition at line 271 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetData(), utl::GetRow(), and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetRows ( const std::vector< int > & indexVec ) const

inline

Definition at line 289 of file utlMatrix.h.

References utl::GetRow(), and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::GetTranspose ( const T scale = 1.0 ) const

inline

Definition at line 205 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utl::NDArrayBase< T, Dim >::Scale().

Referenced by ExpM(), utl::gesdd_UtlMatrix(), utl::gesvd_UtlMatrix(), utl::GetEqualityConstraintProjection(), and LogM().

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template<class T>

double utl::NDArray< T, 2 >::GetTwoNorm ( ) const

inline

Definition at line 558 of file utlMatrix.h.

template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::InverseMatrix ( const double eps = 1e-10 )

inline

Definition at line 436 of file utlMatrix.h.

References utl::InverseMatrix().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::InverseSymmericMatrix ( const double eps = 1e-10 )

inline

Definition at line 421 of file utlMatrix.h.

References utl::InverseSymmericMatrix().

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template<class T>

bool utl::NDArray< T, 2 >::IsSquareMatrix ( ) const

inline

Definition at line 492 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

template<class T>

bool utl::NDArray< T, 2 >::IsSymmetric ( const double eps = 1e-10 ) const

inline

Definition at line 497 of file utlMatrix.h.

References spams::abs(), and utl::NDArrayBase< T, Dim >::m_Shape.

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::LogM ( )

inline

Assume the matrix is symmetric

Definition at line 537 of file utlMatrix.h.

References utl::NDArray< T, 1 >::GetDiagonalMatrix(), GetTranspose(), utl::NDArrayBase< T, Dim >::Size(), and utlSAException.

Referenced by utl::GetMeanOfRotationMatrix().

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template<class T>

T& utl::NDArray< T, 2 >::operator()	(	unsigned int	row,
		unsigned int	col
	)

inline

Definition at line 147 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, and utl::NDArrayBase< T, Dim >::m_Shape.

template<class T>

const T& utl::NDArray< T, 2 >::operator()	(	unsigned int	row,
		unsigned int	col
	)		const

inline

Definition at line 149 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, and utl::NDArrayBase< T, Dim >::m_Shape.

template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::operator= ( NDArray< T, 2 > & r )

inline

Definition at line 120 of file utlMatrix.h.

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

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::operator= ( NDArray< T, 2 > && r )

inline

Definition at line 126 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::Clear(), and utl::NDArrayBase< T, Dim >::Swap().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::PInverseMatrix ( const double eps = 1e-10 )

inline

Definition at line 431 of file utlMatrix.h.

References utl::PInverseMatrix().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::PInverseSymmericMatrix ( const double eps = 1e-10 )

inline

Definition at line 426 of file utlMatrix.h.

References utl::PInverseSymmericMatrix().

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template<class T>

bool utl::NDArray< T, 2 >::ReSize	(	const SizeType	rows,
		const SizeType	cols
	)

inline

Definition at line 140 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::ReSize().

Referenced by utl::Convert1To2Tensor(), utl::Convert4To2Tensor(), utl::gesdd_UtlMatrix(), utl::gesvd_UtlMatrix(), utl::NDArray< T, 1 >::GetDiagonalMatrix(), utl::GetDTIDesignMatrix(), utl::GetEqualityConstraintProjection(), utl::GetUtlMatrixFromMXArray(), utl::InnerProduct(), spams::MatrixToUtlMatrix(), utl::OuterProduct(), utl::RotationMatrixToAxisAngle(), spams::SpMatrixToUtlMatrix(), and utl::VnlMatrixToUtlMatrix().

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template<class T>

SizeType utl::NDArray< T, 2 >::Rows ( ) const

inline

Definition at line 136 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

Referenced by utl::CartesianToSpherical(), utl::ComputeSHMatrix(), utl::ConnectUtlMatrix(), utl::Convert2To1Tensor(), utl::Convert2To4Tensor(), utl::FlipOrientations(), utl::gesdd_UtlMatrix(), utl::gesvd_UtlMatrix(), GetCrop(), utl::GetDTIDesignMatrix(), utl::GetEqualityConstraintProjection(), utl::GetMXArrayFromUtlMatrix(), utl::GetUtlMatrixFromMXArray(), utl::InnerProduct(), utl::InverseMatrix(), utl::InverseSymmericMatrix(), utl::MatchBVectorAndGradientMatrix(), spams::MatrixToUtlMatrix(), utl::NormalizeGrad(), utl::operator*(), utl::PInverseSymmericMatrix(), utl::PrintUtlMatrix(), utl::RotationMatrixToAxisAngle(), SetCrop(), utl::SphericalToCartesian(), utl::syev_UtlMatrix(), utl::syevd_UtlMatrix(), spams::UtlMatrixToMatrix(), and utl::UtlMatrixToVnlMatrix().

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template<class T>

void utl::NDArray< T, 2 >::Save ( const std::string & file ) const

inline

Definition at line 564 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetColumn	(	const int	index,
		T const *	vec
	)

inline

Definition at line 253 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utlSAException.

template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetColumn	(	const int	index,
		const NDArray< T, 1 > &	vec
	)

inline

Definition at line 259 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetData(), utl::NDArrayBase< T, Dim >::m_Shape, utl::NDArrayBase< T, Dim >::Size(), and utlSAException.

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetColumns	(	const std::vector< int > &	indexVec,
		const NDArray< T, 2 > &	mat
	)

inline

Definition at line 331 of file utlMatrix.h.

References GetColumn().

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetCrop	(	const int	x0,
		const int	x1,
		const int	y0,
		const int	y1,
		const NDArray< T, 2 > &	mat
	)

inline

Definition at line 359 of file utlMatrix.h.

References Cols(), utl::NDArrayBase< T, Dim >::m_Shape, Rows(), and utlSAException.

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template<class T>

void utl::NDArray< T, 2 >::SetData	(	T *const	data,
		const unsigned	rows,
		const unsigned	cols
	)

inline

set m_Data from data, the ownership is in data.

Definition at line 190 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::SetData().

Referenced by utl::NDArray< T, 4 >::GetRefSubMatrix().

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetDiagonal ( const NDArray< T, 1 > & vec )

inline

set diagonal values from vec

Definition at line 164 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape, utl::min(), utl::NDArrayBase< T, Dim >::Size(), and utlSAException.

Referenced by utl::NDArray< T, 1 >::GetDiagonalMatrix().

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template<class T>

NDArray<T,2> utl::NDArray< T, 2 >::SetIdentity ( )

inline

Definition at line 181 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Shape.

Referenced by utl::GetEqualityConstraintProjection().

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetRow	(	const int	index,
		T const *	vec
	)

inline

Definition at line 241 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::m_Data, utl::NDArrayBase< T, Dim >::m_Shape, and utlSAException.

Referenced by utl::NormalizeGrad().

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetRow	(	const int	index,
		const NDArray< T, 1 > &	vec
	)

inline

Definition at line 247 of file utlMatrix.h.

References utl::NDArrayBase< T, Dim >::GetData(), utl::NDArrayBase< T, Dim >::m_Shape, utl::NDArrayBase< T, Dim >::Size(), and utlSAException.

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template<class T>

NDArray<T,2>& utl::NDArray< T, 2 >::SetRows	(	const std::vector< int > &	indexVec,
		const NDArray< T, 2 > &	mat
	)

inline

Definition at line 321 of file utlMatrix.h.

References GetRow().

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template<class T>

void utl::NDArray< T, 2 >::SVD	(	NDArray< T, 2 > &	U,
		NDArray< ScalarValueType, 1 > &	S,
		NDArray< T, 2 > &	V,
		char	format = `'S'`
	)		const

inline

SVD.

Parameters

U	left singular vectors. If format is 'A', U is MxM matrix. If format is 'S', U size is M x min(M,N)
s	singular values with size min(M,N). Sored in decreasing order.
V	right singular vectors. If format is 'A', V size is NxN. If format is 'S', V size is N x min(M,N)
format	'S' or 'A'. 'A' means full size, 'S' means reduced size.

Definition at line 378 of file utlMatrix.h.

References utl::gesdd_UtlMatrix().

Referenced by utl::PInverseMatrix(), and utl::RotationMatrixToAxisAngle().

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