Grid with B-spline basis functions with not-a-knot boundary conditions. More...

#include <NakBsplineBoundaryGrid.hpp>

Inheritance diagram for sgpp::base::NakBsplineBoundaryGrid:

Public Member Functions
SBasis &	getBasis () override

virtual size_t	getDegree ()

GridGenerator &	getGenerator () override
	Creates new GridGenerator This must be changed if we add other storage types.

sgpp::base::GridType	getType () override

	NakBsplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	Constructor.

void	serialize (std::ostream &ostr, int version=SERIALIZATION_VERSION) override
	Serializes the grid.

	~NakBsplineBoundaryGrid () override
	Destructor.

Public Member Functions inherited from sgpp::base::Grid
Grid *	clone ()
	copies a grid

Grid *	createGridOfEquivalentType (size_t numDims)
	creates an equivalent grid without copying the grid points

std::vector< size_t >	getAlgorithmicDimensions ()
	returns the algorithmic dimensions (the dimensions in which the Up Down operations should be applied)

virtual BoundingBox &	getBoundingBox ()
	gets a reference to the GridStorage's BoundingsBox object

size_t	getDimension () const
	Returns the number of dimensions.

size_t	getSize () const
	Returns the number of points on the grid.

virtual GridStorage &	getStorage ()
	gets a reference to the GridStorage object

virtual Stretching &	getStretching ()
	gets a reference to the GridStorage's Stretching object

std::string	getTypeAsString ()
	Returns a string that identifies the grid type uniquely.

sgpp::base::GridType	getZeroBoundaryType ()
	Returns the grid type that corresponds to the actual type but does no boundary treatment.

	Grid (const Grid &other)=delete
	delete copy constructor

void	insertPoint (size_t dim, unsigned int levels[], unsigned int indices[], bool isLeaf)
	Insert one point to the grid.

void	refine (DataVector &vector, int numOfPoints)
	Refine grid Refine the given number of points on the grid according to the vector.

std::string	serialize (int version=SERIALIZATION_VERSION)
	Serializes grid to a string.

void	serialize (std::string &ostr, int version=SERIALIZATION_VERSION)
	Serializes grid to a string.

void	setAlgorithmicDimensions (std::vector< size_t > newAlgoDims)
	sets the algorithmic dimensions (the dimensions in which the Up Down operations should be applied)

virtual void	setBoundingBox (BoundingBox &boundingBox)
	sets the GridStorage's BoundingsBox

virtual void	setStretching (Stretching &stretching)
	sets the GridStorage's Stretching pointer to a Stretching object

virtual	~Grid ()
	Desctructor.

Static Public Member Functions
static Grid *	unserialize (std::istream &istr)
	reads a grid out of a string

Static Public Member Functions inherited from sgpp::base::Grid
static Grid *	createBsplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	creates a B-spline trapezoid boundary grid

static Grid *	createBsplineClenshawCurtisGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	creates a B-spline Clenshaw-Curtis grid

static Grid *	createBsplineGrid (size_t dim, size_t degree)
	creates a B-spline grid

static Grid *	createFundamentalNakSplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)

static Grid *	createFundamentalSplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)

static Grid *	createFundamentalSplineGrid (size_t dim, size_t degree)
	creates a fundamental spline grid

static Grid *	createGrid (RegularGridConfiguration gridConfig)
	creates a grid defined by the grid configuration

static Grid *	createLinearBoundaryGrid (size_t dim, level_t boundaryLevel=1)
	creates a linear boundary grid

static Grid *	createLinearClenshawCurtisBoundaryGrid (size_t dim, level_t boundaryLevel=1)
	creates a linear Clenshaw-Curtis boundary grid

static Grid *	createLinearClenshawCurtisGrid (size_t dim)
	creates a linear Clenshaw-Curtis grid

static Grid *	createLinearGrid (size_t dim)
	Creates and returns a grid without grid points on the boundary (zero boundary conditions) with piecewise linear basis functions.

static Grid *	createLinearGridStencil (size_t dim)
	creates a stencil for a linear grid (without boundaries)

static Grid *	createLinearStretchedBoundaryGrid (size_t dim)
	creates a linearstretched truncated boundary grid

static Grid *	createLinearStretchedGrid (size_t dim)
	creates a linear stretched grid without boundaries

static Grid *	createLinearTruncatedBoundaryGrid (size_t dim)
	creates a truncated boundary grid=contains all the gridpoints of the fullgrids which have \(\|l\|<level and li>=l_user\)

static Grid *	createModBsplineClenshawCurtisGrid (size_t dim, size_t degree)
	creates a modified B-spline Clenshaw-Curtis grid

static Grid *	createModBsplineGrid (size_t dim, size_t degree)
	creates a modified B-spline grid

static Grid *	createModFundamentalSplineGrid (size_t dim, size_t degree)
	creates a modified fundamental spline grid

static Grid *	createModLinearClenshawCurtisGrid (size_t dim)
	creates a modified linear Clenshaw-Curtis grid

static Grid *	createModLinearGrid (size_t dim)
	creates a modified linear grid

static Grid *	createModLinearGridStencil (size_t dim)
	creates a stencil for a modified linear grid (without boundaries)

static Grid *	createModNakBsplineGrid (size_t dim, size_t degree)

static Grid *	createModPolyClenshawCurtisGrid (size_t dim, size_t degree)
	creates a modified poly grid with clenshaw curtis points

static Grid *	createModPolyGrid (size_t dim, size_t degree)
	creates a modified polynomial grid

static Grid *	createModWaveletGrid (size_t dim)
	creates a modified wavelet grid

static Grid *	createModWeaklyFundamentalNakSplineGrid (size_t dim, size_t degree)

static Grid *	createNakBsplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)

static Grid *	createNakBsplineExtendedGrid (size_t dim, size_t degree)
	creates a not a knot B-Spline extended grid

static Grid *	createNakBsplineGrid (size_t dim, size_t degree)
	creates a not a knot B-Spline grid

static Grid *	createNakPBsplineGrid (size_t dim, size_t degree)
	creates a not a knot polynomial B-Spline extended grid

static Grid *	createNaturalBsplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	creates a not a knot B-Spline boundary grid

static Grid *	createPeriodicGrid (size_t dim)
	creates a periodic grid

static Grid *	createPolyBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	creates a polynomial grid with truncated boundary

static Grid *	createPolyClenshawCurtisBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)
	creates a poly Clenshaw Curtis boundary grid with clenshaw curtis points

static Grid *	createPolyClenshawCurtisGrid (size_t dim, size_t degree)
	creates a poly grid with clenshaw curtis points

static Grid *	createPolyGrid (size_t dim, size_t degree)
	creates a polynomial grid

static Grid *	createPrewaveletGrid (size_t dim)
	creates a prewavelet grid

static Grid *	createSquareRootGrid (size_t dim)
	creates a square root grid (h-grid)

static Grid *	createWaveletBoundaryGrid (size_t dim, level_t boundaryLevel=1)
	creates a wavelet trapezoid boundary grid

static Grid *	createWaveletGrid (size_t dim)
	creates a wavelet grid

static Grid *	createWeaklyFundamentalNakSplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)

static Grid *	createWeaklyFundamentalSplineBoundaryGrid (size_t dim, size_t degree, level_t boundaryLevel=1)

static GridType	stringToGridType (const std::string &gridType)
	Conversion from string to grid type.

static Grid *	unserialize (const std::string &istr)
	reads a grid out of a string

static Grid *	unserialize (std::istream &istr)
	reads a grid out of a stream

static Grid *	unserializeFromFile (std::string filename)
	opens a file given by name and reads a grid out of the stored string @ param filename name of the file

Protected Member Functions
	NakBsplineBoundaryGrid (std::istream &istr)
	This constructor creates a new GridStorage out of the stream.

Protected Member Functions inherited from sgpp::base::Grid
	Grid (BoundingBox &boundingBox)
	Constructor initializing the grid storage with the given BoundingBox.

	Grid (size_t dim)
	Constructor initializing the grid storage with the given dimensionality.

	Grid (std::istream &istr)
	This constructor creates a new GridStorage out of the stream.

	Grid (Stretching &stretching)
	Constructor initializing the grid storage with the given Stretching.

Protected Attributes
std::unique_ptr< SNakBsplineBoundaryBase >	basis_
	B-spline basis.

level_t	boundaryLevel
	1 + how much levels the boundary is coarser than the main axes

size_t	degree
	B-spline degree.

BoundaryGridGenerator	generator
	grid generator

Protected Attributes inherited from sgpp::base::Grid
GridStorage	storage
	GridStorage object of the grid.

Additional Inherited Members
Protected Types inherited from sgpp::base::Grid
typedef Grid (	Factory) (std::istream &)

typedef std::map< std::string, Grid::Factory >	factoryMap

typedef std::map< sgpp::base::GridType, std::string >	gridTypeVerboseMap

Static Protected Member Functions inherited from sgpp::base::Grid
static Grid *	nullFactory (std::istream &)
	Factory for everything we don't know.

Detailed Description

Grid with B-spline basis functions with not-a-knot boundary conditions.

Constructor & Destructor Documentation

◆ NakBsplineBoundaryGrid() [1/2]

sgpp::base::NakBsplineBoundaryGrid::NakBsplineBoundaryGrid ( std::istream & istr )

explicitprotected

This constructor creates a new GridStorage out of the stream.

Parameters

istr	inputstream that contains the grid information

References basis_, boundaryLevel, degree, generator, and sgpp::base::BoundaryGridGenerator::setBoundaryLevel().

◆ NakBsplineBoundaryGrid() [2/2]

sgpp::base::NakBsplineBoundaryGrid::NakBsplineBoundaryGrid	(	size_t	dim,
		size_t	degree,
		level_t	boundaryLevel = `1`
	)

Constructor.

Parameters

dim	the dimension of the grid
degree	the bspline's degree
boundaryLevel	1 + how much levels the boundary is coarser than the main axes, 0 means one level finer, 1 means same level, 2 means one level coarser, etc.

◆ ~NakBsplineBoundaryGrid()

sgpp::base::NakBsplineBoundaryGrid::~NakBsplineBoundaryGrid ( )

override

Destructor.

Member Function Documentation

◆ getBasis()

SBasis & sgpp::base::NakBsplineBoundaryGrid::getBasis ( )

overridevirtual

Returns: B-spline basis

Implements sgpp::base::Grid.

References basis_.

◆ getDegree()

size_t sgpp::base::NakBsplineBoundaryGrid::getDegree ( )

virtual

Returns: B-spline degree

References degree.

Referenced by sgpp::op_factory::createOperationEvalGradientNaive(), sgpp::op_factory::createOperationEvalHessianNaive(), sgpp::op_factory::createOperationEvalNaive(), sgpp::op_factory::createOperationEvalPartialDerivativeNaive(), sgpp::op_factory::createOperationQuadrature(), sgpp::op_factory::createOperationWeightedQuadrature(), sgpp::op_factory::createOperationWeightedSecondMoment(), sgpp::optimization::OperationMultipleHierarchisationNakBsplineBoundary::doDehierarchisation(), and sgpp::optimization::OperationMultipleHierarchisationNakBsplineBoundary::doDehierarchisation().

◆ getGenerator()

GridGenerator & sgpp::base::NakBsplineBoundaryGrid::getGenerator ( )

overridevirtual

Creates new GridGenerator This must be changed if we add other storage types.

Returns: pointer to a GridGenerator object

Implements sgpp::base::Grid.

References generator.

◆ getType()

sgpp::base::GridType sgpp::base::NakBsplineBoundaryGrid::getType ( )

overridevirtual

Returns: string that identifies the grid type uniquely

Implements sgpp::base::Grid.

References sgpp::base::NakBsplineBoundary.

◆ serialize()

void sgpp::base::NakBsplineBoundaryGrid::serialize	(	std::ostream &	ostr,
		int	version = `SERIALIZATION_VERSION`
	)

overridevirtual

Serializes the grid.

Parameters

ostr	stream to which the grid is written
version	the serialization version of the file

Reimplemented from sgpp::base::Grid.

References boundaryLevel, degree, and sgpp::base::Grid::serialize().

Referenced by python.learner.formatter.GridFormatter.GridFormatter::serializeToFile(), python.learner.formatter.LearnedKnowledgeFormatter.LearnedKnowledgeFormatter::serializeToFile(), python.learner.formatter.LearnerFormatter.LearnerFormatter::serializeToFile(), python.uq.analysis.asgc.ASGCKnowledgeFormatter.ASGCKnowledgeFormatter::serializeToFile(), python.uq.sampler.asgc.ASGCSamplerFormatter.ASGCSamplerFormatter::serializeToFile(), python.uq.uq_setting.UQSettingFormatter.UQSettingFormatter::serializeToFile(), and python.utils.GzipSerializer.GzipSerializer::serializeToFile().

◆ unserialize()

Grid * sgpp::base::NakBsplineBoundaryGrid::unserialize ( std::istream & istr )

static

reads a grid out of a string

Parameters

istr	string that contains the grid information

Returns: grid

Member Data Documentation

◆ basis_

std::unique_ptr<SNakBsplineBoundaryBase> sgpp::base::NakBsplineBoundaryGrid::basis_

protected

B-spline basis.

Referenced by getBasis(), and NakBsplineBoundaryGrid().

◆ boundaryLevel

level_t sgpp::base::NakBsplineBoundaryGrid::boundaryLevel

protected

1 + how much levels the boundary is coarser than the main axes

Referenced by NakBsplineBoundaryGrid(), and serialize().

◆ degree

size_t sgpp::base::NakBsplineBoundaryGrid::degree

protected

B-spline degree.

Referenced by getDegree(), NakBsplineBoundaryGrid(), and serialize().

◆ generator

BoundaryGridGenerator sgpp::base::NakBsplineBoundaryGrid::generator

protected

grid generator

Referenced by getGenerator(), and NakBsplineBoundaryGrid().

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

base/src/sgpp/base/grid/type/NakBsplineBoundaryGrid.hpp
base/src/sgpp/base/grid/type/NakBsplineBoundaryGrid.cpp

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ NakBsplineBoundaryGrid() [1/2]

◆ NakBsplineBoundaryGrid() [2/2]

◆ ~NakBsplineBoundaryGrid()

Member Function Documentation

◆ getBasis()

◆ getDegree()

◆ getGenerator()

◆ getType()

◆ serialize()

◆ unserialize()

Member Data Documentation

◆ basis_

◆ boundaryLevel

◆ degree

◆ generator