SG++-Doxygen-Documentation
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Modified polynomial base functions. More...
#include <LinearModifiedClenshawCurtisBasis.hpp>
Public Member Functions | |
double | eval (LT level, IT index, double p) override |
Evaluate the basis function with given level and index. More... | |
double | eval (LT level, IT index, double p, double offset, double width) |
double | evalHierToTop (LT level, IT index, DataVector &coeffs, double pos) |
Evaluates all the hierarchical ancestors of the node defined by level and index. More... | |
size_t | getDegree () const override |
Returns the polynomial degree of the basis. More... | |
double | getIntegral (LT level, IT index) override |
returns the integal of the current basis function More... | |
LinearModifiedClenshawCurtisBasis () | |
Constructor. More... | |
~LinearModifiedClenshawCurtisBasis () override | |
Destructor. More... | |
Public Member Functions inherited from sgpp::base::Basis< LT, IT > | |
virtual | ~Basis () |
Destructor. More... | |
Protected Attributes | |
ClenshawCurtisTable & | clenshawCurtisTable |
reference to the Clenshaw-Curtis cache table More... | |
SLinearClenshawCurtisBase | linearBasis |
poly basis More... | |
Modified polynomial base functions.
Special polynomial functions to cover values unequal 0 at the border. Implemented as seen in AWR 2 paper by Prof. Bungartz (http://www5.in.tum.de/wiki/index.php/Algorithmen_des_Wissenschaftlichen_Rechnens_II_-_Winter_08)
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inline |
Constructor.
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inlineoverride |
Destructor.
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inlineoverridevirtual |
Evaluate the basis function with given level and index.
level | level of the basis function |
index | index of the basis function |
x | evaluation point |
Implements sgpp::base::Basis< LT, IT >.
Referenced by python.uq.analysis.asgc.ASGCAnalysis.ASGCAnalysis::estimateDensity(), sgpp::base::OperationEvalModLinearClenshawCurtisNaive::eval(), sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >::eval(), sgpp::base::LinearModifiedClenshawCurtisBasis< unsigned int, unsigned int >::evalHierToTop(), sgpp::base::OperationMultipleEvalModLinearClenshawCurtisNaive::mult(), and sgpp::base::OperationMultipleEvalModLinearClenshawCurtisNaive::multTranspose().
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inline |
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Evaluates all the hierarchical ancestors of the node defined by level and index.
NOTE: It does not evaluate the current node itself.
level | |
index | |
coeffs | |
pos |
Referenced by sgpp::base::DehierarchisationModLinearClenshawCurtis::rec(), and sgpp::base::HierarchisationModLinearClenshawCurtis::rec().
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inlineoverridevirtual |
Returns the polynomial degree of the basis.
Implements sgpp::base::Basis< LT, IT >.
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inlineoverridevirtual |
returns the integal of the current basis function
level | level of the basis function |
index | index of the basis function |
Implements sgpp::base::Basis< LT, IT >.
Referenced by sgpp::base::OperationQuadratureModLinearClenshawCurtis::doQuadrature().
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protected |
reference to the Clenshaw-Curtis cache table
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protected |
poly basis