#include <itkFEMLinearSystemWrapperDenseVNL.h>

Inheritance diagram for itk::fem::LinearSystemWrapperDenseVNL:

Collaboration diagram for itk::fem::LinearSystemWrapperDenseVNL:

Detailed Description

LinearSystemWrapper class that uses VNL numeric library functions to define a sparse linear system of equations.

See Also: LinearSystemWrapper

Definition at line 39 of file itkFEMLinearSystemWrapperDenseVNL.h.

Public Types
typedef LinearSystemWrapper::Float	Float

typedef std::vector < MatrixRepresentation * >	MatrixHolder

typedef vnl_matrix< Float >	MatrixRepresentation

typedef LinearSystemWrapper	Superclass

Public Types inherited from itk::fem::LinearSystemWrapper
typedef std::vector< unsigned int >	ColumnArray

typedef const Self *	ConstPointer

typedef Self *	Pointer

typedef LinearSystemWrapper	Self

typedef Solution	Superclass

Public Types inherited from itk::fem::Solution
typedef const Self *	ConstPointer

typedef double	Float

typedef Self *	Pointer

typedef Solution	Self

typedef Solution	Superclass

Public Member Functions
virtual void	AddMatrixValue (unsigned int i, unsigned int j, Float value, unsigned int matrixIndex) override

virtual void	AddSolutionValue (unsigned int i, Float value, unsigned int solutionIndex) override

virtual void	AddVectorValue (unsigned int i, Float value, unsigned int vectorIndex) override

virtual void	CopySolution2Vector (unsigned solutionIndex, unsigned int vectorIndex) override

virtual void	CopyVector2Solution (unsigned int vectorIndex, unsigned int solutionIndex) override

virtual void	DestroyMatrix (unsigned int matrixIndex) override

virtual void	DestroySolution (unsigned int solutionIndex) override

virtual void	DestroyVector (unsigned int vectorIndex) override

virtual Float	GetMatrixValue (unsigned int i, unsigned int j, unsigned int matrixIndex) const override

virtual Float	GetSolutionValue (unsigned int i, unsigned int solutionIndex) const override

virtual Float	GetVectorValue (unsigned int i, unsigned int vectorIndex) const override

virtual void	InitializeMatrix (unsigned int matrixIndex) override

virtual void	InitializeSolution (unsigned int solutionIndex) override

virtual void	InitializeVector (unsigned int vectorIndex) override

virtual bool	IsMatrixInitialized (unsigned int matrixIndex) override

virtual bool	IsSolutionInitialized (unsigned int solutionIndex) override

virtual bool	IsVectorInitialized (unsigned int vectorIndex) override

	LinearSystemWrapperDenseVNL ()

virtual void	MultiplyMatrixMatrix (unsigned int resultMatrixIndex, unsigned int leftMatrixIndex, unsigned int rightMatrixIndex) override

virtual void	MultiplyMatrixVector (unsigned int resultVectorIndex, unsigned int matrixIndex, unsigned int vectorIndex) override

virtual void	ScaleMatrix (Float scale, unsigned int matrixIndex) override

virtual void	ScaleSolution (Float scale, unsigned int solutionIndex)

virtual void	ScaleVector (Float scale, unsigned int vectorIndex)

virtual void	SetMatrixValue (unsigned int i, unsigned int j, Float value, unsigned int matrixIndex) override

virtual void	SetMaximumNonZeroValuesInMatrix (unsigned int, unsigned int)

virtual void	SetSolutionValue (unsigned int i, Float value, unsigned int solutionIndex) override

virtual void	SetVectorValue (unsigned int i, Float value, unsigned int vectorIndex) override

virtual void	Solve (void) override

virtual void	SwapMatrices (unsigned int matrixIndex1, unsigned int matrixIndex2) override

virtual void	SwapSolutions (unsigned int solutionIndex1, unsigned int solutionIndex2) override

virtual void	SwapVectors (unsigned int vectorIndex1, unsigned int vectorIndex2) override

virtual	~LinearSystemWrapperDenseVNL () override

Public Member Functions inherited from itk::fem::LinearSystemWrapper
virtual void	AddMatrixMatrix (unsigned int matrixIndex1, unsigned int matrixIndex2)

virtual void	AddVectorVector (unsigned int vectorIndex1, unsigned int vectorIndex2)

virtual void	Clean ()

virtual void	CopyMatrix (unsigned int matrixIndex1, unsigned int matrixIndex2)

virtual void	CopySolution2Vector (unsigned int solutionIndex, unsigned int vectorIndex)=0

virtual void	CopyVector (unsigned int vectorSource, unsigned int vectorDestination)

virtual void	GetColumnsOfNonZeroMatrixElementsInRow (unsigned int row, ColumnArray &cols, unsigned int matrixIndex=0)

unsigned int	GetNumberOfMatrices () const

unsigned int	GetNumberOfSolutions () const

unsigned int	GetNumberOfVectors () const

unsigned int	GetSystemOrder () const

virtual void	MultiplyMatrixSolution (unsigned int resultVectorIndex, unsigned int matrixIndex, unsigned int solutionIndex)

virtual void	OptimizeMatrixStorage (unsigned int matrixIndex, unsigned int tempMatrixIndex)

virtual void	ReverseCuthillMckeeOrdering (ColumnArray &newNumbering, unsigned int matrixIndex=0)

void	ScaleSolution (Float scale, unsigned int solutionIndex=0)

void	ScaleVector (Float scale, unsigned int vectorIndex=0)

void	SetNumberOfMatrices (unsigned int nMatrices)

void	SetNumberOfSolutions (unsigned int nSolutions)

void	SetNumberOfVectors (unsigned int nVectors)

void	SetSystemOrder (unsigned int N)

virtual	~LinearSystemWrapper ()

	LinearSystemWrapper ()

Public Member Functions inherited from itk::fem::Solution
virtual	~Solution ()

Private Attributes
MatrixHolder *	m_Matrices

std::vector< vnl_vector< Float > * > *	m_Solutions

std::vector< vnl_vector< Float > * > *	m_Vectors

Additional Inherited Members
Protected Attributes inherited from itk::fem::LinearSystemWrapper
unsigned int	m_NumberOfMatrices

unsigned int	m_NumberOfSolutions

unsigned int	m_NumberOfVectors

unsigned int	m_Order

Member Typedef Documentation

typedef LinearSystemWrapper::Float itk::fem::LinearSystemWrapperDenseVNL::Float

Definition at line 44 of file itkFEMLinearSystemWrapperDenseVNL.h.

typedef std::vector<MatrixRepresentation *> itk::fem::LinearSystemWrapperDenseVNL::MatrixHolder

Definition at line 53 of file itkFEMLinearSystemWrapperDenseVNL.h.

typedef vnl_matrix<Float> itk::fem::LinearSystemWrapperDenseVNL::MatrixRepresentation

Definition at line 50 of file itkFEMLinearSystemWrapperDenseVNL.h.

typedef LinearSystemWrapper itk::fem::LinearSystemWrapperDenseVNL::Superclass

Definition at line 47 of file itkFEMLinearSystemWrapperDenseVNL.h.

Constructor & Destructor Documentation

itk::fem::LinearSystemWrapperDenseVNL::LinearSystemWrapperDenseVNL ( )

inline

Definition at line 56 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual itk::fem::LinearSystemWrapperDenseVNL::~LinearSystemWrapperDenseVNL ( )

overridevirtual

Member Function Documentation

virtual void itk::fem::LinearSystemWrapperDenseVNL::AddMatrixValue	(	unsigned int	i,
		unsigned int	j,
		Float	value,
		unsigned int	matrixIndex
	)

inlineoverridevirtual

Virtual function to add a value to a specific element of the A matrix.

Parameters

i	row of the element
j	column of the element
value	value to add to the existing element
matrixIndex	index of matrix to add value to

Implements itk::fem::LinearSystemWrapper.

Definition at line 95 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::AddSolutionValue	(	unsigned int	i,
		Float	value,
		unsigned int	solutionIndex
	)

inlineoverridevirtual

Virtual function to add a value of specific element of the solution vector.

Parameters

i	element Index in solution vector
value	new value of the element
solutionIndex	index of solution vector to add value to

Implements itk::fem::LinearSystemWrapper.

Definition at line 122 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::AddVectorValue	(	unsigned int	i,
		Float	value,
		unsigned int	vectorIndex
	)

inlineoverridevirtual

Virtual function to add a value to a specific element of the B vector.

Parameters

i	row of the element
value	value to add to the existing element
vectorIndex	index of vector to add value to

Implements itk::fem::LinearSystemWrapper.

Definition at line 110 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::CopySolution2Vector	(	unsigned	solutionIndex,
		unsigned int	vectorIndex
	)

overridevirtual

virtual void itk::fem::LinearSystemWrapperDenseVNL::CopyVector2Solution	(	unsigned int	vectorIndex,
		unsigned int	solutionIndex
	)

overridevirtual

Copy a vector to a solution vector

Parameters

vectorIndex	index of a vector to copy
solutionIndex	index of a solution to copy the solution to

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::DestroyMatrix ( unsigned int matrixIndex )

overridevirtual

Free the memory from a matrix

Parameters

matrixIndex index of matrix to destroy

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::DestroySolution ( unsigned int solutionIndex )

overridevirtual

Free the memory from a solution vector

Parameters

solutionIndex index of solution vector to destroy

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::DestroyVector ( unsigned int vectorIndex )

overridevirtual

Free the memory from a vector

Parameters

vectorIndex index of vector to destroy

Implements itk::fem::LinearSystemWrapper.

virtual Float itk::fem::LinearSystemWrapperDenseVNL::GetMatrixValue	(	unsigned int	i,
		unsigned int	j,
		unsigned int	matrixIndex
	)		const

inlineoverridevirtual

Virtual function to get a value of a specific element of a matrix.

Parameters

i	row of the element
j	column of the element
matrixIndex	index of matrix to get value from

Implements itk::fem::LinearSystemWrapper.

Definition at line 85 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual Float itk::fem::LinearSystemWrapperDenseVNL::GetSolutionValue	(	unsigned int	i,
		unsigned int	solutionIndex
	)		const

overridevirtual

Returns value of i-th element in a solution vector. This value is calculated generalized displacement of the i-th degree of freedom in a FEM problem. Note that in general there may be several solution vectors. You can select which one do you want by passing the second parameter.

Parameters

i	element index in solution vector
solutionIndex	index of solution vector to get value from

Note: If the solution vector doesn't exist (problem was not yet solved), or the index i is out of range, the function returns 0.0.

Implements itk::fem::Solution.

virtual Float itk::fem::LinearSystemWrapperDenseVNL::GetVectorValue	(	unsigned int	i,
		unsigned int	vectorIndex
	)		const

inlineoverridevirtual

Virtual function to get a value of a specific element of the B vector.

Parameters

i	row of the element
vectorIndex	index of vector to get value from

Implements itk::fem::LinearSystemWrapper.

Definition at line 100 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::InitializeMatrix ( unsigned int matrixIndex )

overridevirtual

Initialization of the A matrix. First any existing data for matrix A must be be destroyed, and then a new matrix is created in the memory. All elements in A must be set to zero.

Parameters

matrixIndex index of matrix to initialize

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::InitializeSolution ( unsigned int solutionIndex )

overridevirtual

Initialization of a solution vector. Existing memory must be destroyed and the new solution vector is created in memory. All values should be set to zero.

Parameters

solutionIndex index of solution vector to initialize

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::InitializeVector ( unsigned int vectorIndex )

overridevirtual

Initialization of the a vector. First any existing data for vector B must be destroyed, then new vector is created in the memory. All elements in B must be set to zero.

Implements itk::fem::LinearSystemWrapper.

virtual bool itk::fem::LinearSystemWrapperDenseVNL::IsMatrixInitialized ( unsigned int matrixIndex )

overridevirtual

Check to see if matrix is initialized

Parameters

matrixIndex index of matrix to examine

Implements itk::fem::LinearSystemWrapper.

virtual bool itk::fem::LinearSystemWrapperDenseVNL::IsSolutionInitialized ( unsigned int solutionIndex )

overridevirtual

Check to see if solution vector is initialized

Parameters

solutionIndex index of solution vector to examine

Implements itk::fem::LinearSystemWrapper.

virtual bool itk::fem::LinearSystemWrapperDenseVNL::IsVectorInitialized ( unsigned int vectorIndex )

overridevirtual

Check to see if vector is initialized

Parameters

vectorIndex vector of index to examine

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::MultiplyMatrixMatrix	(	unsigned int	resultMatrixIndex,
		unsigned int	leftMatrixIndex,
		unsigned int	rightMatrixIndex
	)

overridevirtual

Perform a matrix*matrix operation and store the result in the linear system

Parameters

leftMatrixIndex	index of left matrix
rightMatrixIndex	index of right matrix
resultMatrixIndex	index of matrix where solution is stored

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::MultiplyMatrixVector	(	unsigned int	resultVectorIndex,
		unsigned int	matrixIndex,
		unsigned int	vectorIndex
	)

overridevirtual

Perform a matrix*vector operation and store the result in the linear system

Parameters

matrixIndex	index of matrix to multiply
vectorIndex	index of vector to multiply
resultVectorIndex	index of vector where result is store

Reimplemented from itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::ScaleMatrix	(	Float	scale,
		unsigned int	matrixIndex
	)

overridevirtual

Multiplies all elements of a matrix by a scalar

Parameters

scale	scalar to multiply all matrix values by
matrixIndex	index of matrix to modify

Reimplemented from itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::ScaleSolution	(	Float	scale,
		unsigned int	solutionIndex
	)

virtual

virtual void itk::fem::LinearSystemWrapperDenseVNL::ScaleVector	(	Float	scale,
		unsigned int	vectorIndex
	)

virtual

virtual void itk::fem::LinearSystemWrapperDenseVNL::SetMatrixValue	(	unsigned int	i,
		unsigned int	j,
		Float	value,
		unsigned int	matrixIndex
	)

inlineoverridevirtual

Virtual function to set a value of a specific element of the A matrix.

Parameters

i	row of the element
j	column of the element
value	new value of the element
matrixIndex	index of matrix to set value in

Implements itk::fem::LinearSystemWrapper.

Definition at line 90 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SetMaximumNonZeroValuesInMatrix	(	unsigned	int,
		unsigned	int
	)

inlinevirtual

Definition at line 80 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SetSolutionValue	(	unsigned int	i,
		Float	value,
		unsigned int	solutionIndex
	)

inlineoverridevirtual

Virtual function to set a value of specific element of the solution vector.

Parameters

i	element Index in solution vector
value	new value of the element
solutionIndex	index of solution vector to set value in

Implements itk::fem::LinearSystemWrapper.

Definition at line 117 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SetVectorValue	(	unsigned int	i,
		Float	value,
		unsigned int	vectorIndex
	)

inlineoverridevirtual

Virtual function to set a value of a specific element of the B vector.

Parameters

i	row of the element
value	new value of the element
vectorIndex	index of vector to set value in

Implements itk::fem::LinearSystemWrapper.

Definition at line 105 of file itkFEMLinearSystemWrapperDenseVNL.h.

virtual void itk::fem::LinearSystemWrapperDenseVNL::Solve ( void )

overridevirtual

Solves the linear system and creates the solution vector, which can later be accessed via GetSolutionValue(i,SolutionIndex) member function. Here all the major processing is done with calls to external numeric library.

Note: This function can only be called after the linear system was properly assembled.

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SwapMatrices	(	unsigned int	matrixIndex1,
		unsigned int	matrixIndex2
	)

overridevirtual

Swaps access indices of any 2 matrices in the linear system

Parameters

matrixIndex1	index of a matrix to swap
matrixIndex2	index of matrix to swap with

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SwapSolutions	(	unsigned int	solutionIndex1,
		unsigned int	solutionIndex2
	)

overridevirtual

Swaps access indices of any 2 solution vectors in the linear system

Parameters

solutionIndex1	index of a solution vector to swap
solutionIndex2	index of solution vector to swap with

Implements itk::fem::LinearSystemWrapper.

virtual void itk::fem::LinearSystemWrapperDenseVNL::SwapVectors	(	unsigned int	vectorIndex1,
		unsigned int	vectorIndex2
	)

overridevirtual

Swaps access indices of any 2 vectors in the linear system

Parameters

vectorIndex1	index of a vector to swap
vectorIndex2	index of vector to swap with

Implements itk::fem::LinearSystemWrapper.

Member Data Documentation

MatrixHolder* itk::fem::LinearSystemWrapperDenseVNL::m_Matrices

private

vector of pointers to VNL sparse matrices

Definition at line 155 of file itkFEMLinearSystemWrapperDenseVNL.h.

std::vector<vnl_vector<Float> *>* itk::fem::LinearSystemWrapperDenseVNL::m_Solutions

private

vector of pointers to VNL vectors

Definition at line 161 of file itkFEMLinearSystemWrapperDenseVNL.h.

std::vector<vnl_vector<Float> *>* itk::fem::LinearSystemWrapperDenseVNL::m_Vectors

private

vector of pointers to VNL vectors

Definition at line 158 of file itkFEMLinearSystemWrapperDenseVNL.h.

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

itkFEMLinearSystemWrapperDenseVNL.h

Detailed Description

Public Types

Public Member Functions

Private Attributes

Additional Inherited Members

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation