tsgExoticQuadrature.hpp File Reference

Header to include the exotic quadrature templates. More...

#include "tsgAddonsCommon.hpp"

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Namespaces
	TasGrid
	Encapsulates the Tasmanian Sparse Grid module.

Functions
double	TasGrid::poly_eval (const std::vector< double > &roots, double x)
	Evaluates a polynomial with roots given by roots at the point x. More...
double	TasGrid::lagrange_eval (size_t idx, const std::vector< double > &roots, double x)
	Evaluates a Lagrange basis polynomial at a point x. More...
template<bool is_symmetric>
void	TasGrid::getGaussNodesAndWeights (const int n, const std::vector< double > &ref_points, const std::vector< double > &ref_weights, std::vector< std::vector< double >> &points_cache, std::vector< std::vector< double >> &weights_cache)
	Generates n levels of points and weights using orthogonal polynomials with respect to ref_points and ref_weights. More...
TasGrid::CustomTabulated	TasGrid::getShiftedExoticQuadrature (const int n, const double shift, const std::vector< double > &shifted_weights, const std::vector< double > &ref_points, const char *description, const bool is_symmetric=false)
	Generate the exotic quadrature points and weights and load them into a TasGrid::CustomTabulated object. More...
void	TasGrid::shiftReferenceWeights (std::vector< double > const &vals, double shift, std::vector< double > &ref_weights)
	Multiplies the reference quadrature weights by the shifted values of the weight function. More...
TasGrid::CustomTabulated	TasGrid::getExoticQuadrature (const int num_levels, const double shift, const TasGrid::TasmanianSparseGrid &grid, const char *description, const bool is_symmetric=false)
	Constructs an exotic quadrature from a sparse grid object. More...
TasGrid::CustomTabulated	TasGrid::getExoticQuadrature (const int num_levels, const double shift, std::function< double(double)> weight_fn, const int num_ref_points, const char *description, const bool is_symmetric=false)
	Similar to getExoticQuadrature() but the weight function is defined by a lambda expression. More...

Detailed Description

Header to include the exotic quadrature templates.

Author

Miroslav Stoyanov