Abstract base class for numerical integration grids and space-filling designs. More...

#include <grid.h>

Inheritance diagram for cmp::grid::Grid:

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Public Member Functions
virtual Eigen::MatrixXd	construct (const size_t &nPoints)=0

virtual size_t	dim () const =0

virtual	~Grid ()=default

Detailed Description

Abstract base class for numerical integration grids and space-filling designs.

Mathematical Formulation Defines a mapping that generates a point set \(\mathcal{P} = \{\mathbf{x}_i\}_{i=1}^N\) in a hyperrectangle \(\prod_{d=1}^D [a_d, b_d]\) to represent the design of experiments or coordinate nodes.

Implementation Algorithm Provides pure virtual interfaces construct() to construct a matrix of coordinates, and dim() to query the dimensionality.

Constructor & Destructor Documentation

◆ ~Grid()

virtual cmp::grid::Grid::~Grid ( )

virtualdefault

Member Function Documentation

◆ construct()

virtual Eigen::MatrixXd cmp::grid::Grid::construct ( const size_t & nPoints )

pure virtual

Implemented in cmp::grid::SobolGrid, cmp::grid::ScrambledSobolGrid, cmp::grid::MonteCarloGrid, cmp::grid::LatinHypercubeGrid, cmp::grid::LinspacedGrid, cmp::grid::NiederreiterGrid, and cmp::grid::FaureGrid.

◆ dim()

virtual size_t cmp::grid::Grid::dim ( ) const