Quadrature.h

Go to the documentation of this file.

// Class Quadrature
//  This is the base class for all quadrature rules.
 
#ifndef IPPL_QUADRATURE_H
#define IPPL_QUADRATURE_H
 
#include <cmath>
 
#include "Types/Vector.h"
 
#include "Utility/IpplException.h"
 
#include "FEM/Elements/Element.h"
 
// own power function since Kokkos::pow is not constexpr
template <typename T>
constexpr T power(T base, unsigned exponent) {
    return exponent == 0 ? 1 : base * power(base, exponent - 1);
}
 
inline constexpr unsigned getNumElementNodes(unsigned NumNodes1D, unsigned Dim) {
    return static_cast<unsigned>(power(static_cast<int>(NumNodes1D), static_cast<int>(Dim)));
}
 
namespace ippl {

    template <typename T, unsigned NumNodes1D, typename ElementType>
    class Quadrature {
    public:
        // the number of quadrature nodes for one dimension
        static constexpr unsigned numNodes1D = NumNodes1D;
 
        // the dimension of the reference element to compute the quadrature nodes for
        static constexpr unsigned dim = ElementType::dim;
 
        // the number of quadrature nodes for the reference element
        static constexpr unsigned numElementNodes =
            getNumElementNodes(NumNodes1D, ElementType::dim);

        Quadrature(const ElementType& ref_element);

        size_t getOrder() const;

        size_t getDegree() const;

        Vector<T, numElementNodes> getWeightsForRefElement() const;

        Vector<Vector<T, dim>, numElementNodes> getIntegrationNodesForRefElement() const;

        Vector<T, NumNodes1D> getIntegrationNodes1D(const T& a, const T& b) const;

        Vector<T, NumNodes1D> getWeights1D(const T& a, const T& b) const;

        virtual void computeNodesAndWeights() = 0;
 
    protected:
        unsigned degree_m;
        const ElementType& ref_element_m;
        Vector<T, NumNodes1D> integration_nodes_m;
        Vector<T, NumNodes1D> weights_m;
 
        // local domain start
        T a_m;
        // local domain end
        T b_m;
    };
 
}  // namespace ippl
 
#include "FEM/Quadrature/Quadrature.hpp"
 
#endif