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Toolkit for Adaptive Stochastic Modeling and Non-Intrusive ApproximatioN: Tasmanian v8.2
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Sparse Grids

Topics

 Sparse Grid Class
 Enumerated types

Namespaces

namespace  TasGrid
 Encapsulates the Tasmanian Sparse Grid module.

Functions

TasmanianSparseGrid TasGrid::makeEmpty ()
 Returns an empty sparse grid.
TasmanianSparseGrid TasGrid::makeGlobalGrid (int dimensions, int outputs, int depth, TypeDepth type, TypeOneDRule rule, std::vector< int > const &anisotropic_weights=std::vector< int >(), double alpha=0.0, double beta=0.0, const char *custom_filename=nullptr, std::vector< int > const &level_limits=std::vector< int >())
 Factory method, creates a new grid and calls TasmanianSparseGrid::makeGlobalGrid().
TasmanianSparseGrid TasGrid::makeSequenceGrid (int dimensions, int outputs, int depth, TypeDepth type, TypeOneDRule rule, std::vector< int > const &anisotropic_weights=std::vector< int >(), std::vector< int > const &level_limits=std::vector< int >())
 Factory method, creates a new grid and calls TasmanianSparseGrid::makeSequenceGrid().
TasmanianSparseGrid TasGrid::makeLocalPolynomialGrid (int dimensions, int outputs, int depth, int order=1, TypeOneDRule rule=rule_localp, std::vector< int > const &level_limits=std::vector< int >())
 Factory method, creates a new grid and calls TasmanianSparseGrid::makeLocalPolynomialGrid().
TasmanianSparseGrid TasGrid::makeWaveletGrid (int dimensions, int outputs, int depth, int order=1, std::vector< int > const &level_limits=std::vector< int >())
 Factory method, creates a new grid and calls TasmanianSparseGrid::makeWaveletGrid().
TasmanianSparseGrid TasGrid::makeFourierGrid (int dimensions, int outputs, int depth, TypeDepth type, std::vector< int > const &anisotropic_weights=std::vector< int >(), std::vector< int > const &level_limits=std::vector< int >())
 Factory method, creates a new grid and calls TasmanianSparseGrid::makeFourierGrid().
TasmanianSparseGrid TasGrid::readGrid (const char *filename)
 Factory method, creates a new grid and calls TasmanianSparseGrid::read().
TasmanianSparseGrid TasGrid::readGrid (std::string const &filename)
 Overload using std::string.
TasmanianSparseGrid TasGrid::copyGrid (TasmanianSparseGrid const &source, int outputs_begin=0, int outputs_end=-1)
 Returns a grid that is a copy of the source.

Variables

constexpr bool TasGrid::mode_ascii = false
 Constant allowing for more expressive selection of ascii and binary mode in IO methods.
constexpr bool TasGrid::mode_binary = true
 Constant allowing for more expressive selection of ascii and binary mode in IO methods.

Detailed Description

Sparse Grids
A family of algorithms for multidimensional integration and interpolation where the operator is constructed as a linear combination of tensors with different number of points in each direction. The combination of tensors is chosen to include a specific function space that is optimal for approximation of the target model. For more details of the sparse grid construction, refer to the .pdf manual available at http://tasmanian.ornl.gov/

Function Documentation

◆ makeEmpty()

TasmanianSparseGrid TasGrid::makeEmpty ( )
inline

Returns an empty sparse grid.

Usage:

auto grid = TasGrid::makeEmpty(); // equivalent to TasGrid::TasmanianSparseGrid grid;
grid = TasGrid::makeEmpty(); // equivalent to grid.clear();
TasGrid::makeEmpty
TasmanianSparseGrid makeEmpty()
Returns an empty sparse grid.
Definition TasmanianSparseGrid.hpp:2270

Useful for some MPI calls where some MPI ranks must pass a dummy empty grid.

◆ makeGlobalGrid()

TasmanianSparseGrid TasGrid::makeGlobalGrid ( int dimensions,
int outputs,
int depth,
TypeDepth type,
TypeOneDRule rule,
std::vector< int > const & anisotropic_weights = std::vector<int>(),
double alpha = 0.0,
double beta = 0.0,
const char * custom_filename = nullptr,
std::vector< int > const & level_limits = std::vector<int>() )
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::makeGlobalGrid().

Allows for one-line initialization, i.e.,

auto grid = TasGrid::makeGlobalGrid(...);
TasGrid::makeGlobalGrid
TasmanianSparseGrid makeGlobalGrid(int dimensions, int outputs, int depth, TypeDepth type, TypeOneDRule rule, std::vector< int > const &anisotropic_weights=std::vector< int >(), double alpha=0.0, double beta=0.0, const char *custom_filename=nullptr, std::vector< int > const &level_limits=std::vector< int >())
Factory method, creates a new grid and calls TasmanianSparseGrid::makeGlobalGrid().
Definition TasmanianSparseGrid.hpp:2287

as opposed to

TasGrid::TasmanianSparseGrid grid;
grid.makeGlobalGrid(...);
TasGrid::TasmanianSparseGrid
The master-class that represents an instance of a Tasmanian sparse grid.
Definition TasmanianSparseGrid.hpp:293
TasGrid::TasmanianSparseGrid::makeGlobalGrid
void makeGlobalGrid(int dimensions, int outputs, int depth, TypeDepth type, TypeOneDRule rule, std::vector< int > const &anisotropic_weights, double alpha=0.0, double beta=0.0, const char *custom_filename=nullptr, std::vector< int > const &level_limits=std::vector< int >())
Make a Global Grid using Lagrange polynomials with support over the entire domain.

◆ makeSequenceGrid()

TasmanianSparseGrid TasGrid::makeSequenceGrid ( int dimensions,
int outputs,
int depth,
TypeDepth type,
TypeOneDRule rule,
std::vector< int > const & anisotropic_weights = std::vector<int>(),
std::vector< int > const & level_limits = std::vector<int>() )
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::makeSequenceGrid().

Allows for one-line initialization, see TasGrid::makeGlobalGrid().

◆ makeLocalPolynomialGrid()

TasmanianSparseGrid TasGrid::makeLocalPolynomialGrid ( int dimensions,
int outputs,
int depth,
int order = 1,
TypeOneDRule rule = rule_localp,
std::vector< int > const & level_limits = std::vector<int>() )
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::makeLocalPolynomialGrid().

Allows for one-line initialization, see TasGrid::makeGlobalGrid().

◆ makeWaveletGrid()

TasmanianSparseGrid TasGrid::makeWaveletGrid ( int dimensions,
int outputs,
int depth,
int order = 1,
std::vector< int > const & level_limits = std::vector<int>() )
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::makeWaveletGrid().

Allows for one-line initialization, see TasGrid::makeGlobalGrid().

◆ makeFourierGrid()

TasmanianSparseGrid TasGrid::makeFourierGrid ( int dimensions,
int outputs,
int depth,
TypeDepth type,
std::vector< int > const & anisotropic_weights = std::vector<int>(),
std::vector< int > const & level_limits = std::vector<int>() )
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::makeFourierGrid().

Allows for one-line initialization, see TasGrid::makeGlobalGrid().

◆ readGrid() [1/2]

TasmanianSparseGrid TasGrid::readGrid ( const char * filename)
inline

Factory method, creates a new grid and calls TasmanianSparseGrid::read().

Allows for one-line initialization, makes a new grid and reads from a file.

Parameters
filenamesame as TasmanianSparseGrid::read().
Returns
a new grid that is read from the file.

◆ readGrid() [2/2]

TasmanianSparseGrid TasGrid::readGrid ( std::string const & filename)
inline

Overload using std::string.

Same as readGrid() but the filename is given as a string.

◆ copyGrid()

TasmanianSparseGrid TasGrid::copyGrid ( TasmanianSparseGrid const & source,
int outputs_begin = 0,
int outputs_end = -1 )
inline

Returns a grid that is a copy of the source.

Creates a new grid and calls TasmanianSparseGrid::copyGrid() from the source.

Parameters
sourceis the grid to copy from.
outputs_beginsame as TasmanianSparseGrid::copyGrid().
outputs_endsame as TasmanianSparseGrid::copyGrid().
Returns
a new grid that is a copy of the source.