WSPolygonalBasis2d.hpp

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#pragma once
 
#include <polyfem/mesh/mesh2D/Mesh2D.hpp>
#include <polyfem/basis/ElementBases.hpp>
#include <polyfem/mesh/LocalBoundary.hpp>
 
#include <Eigen/Dense>
#include <vector>
 
namespace polyfem
{
    namespace basis
    {
        class WSPolygonalBasis2d
        {
        public:
            static int build_bases(
                const std::string &assembler_name,
                const int dim,
                const mesh::Mesh2D &mesh,
                const int n_bases,
                const int quadrature_order,
                const int mass_quadrature_order,
                std::vector<ElementBases> &bases,
                std::vector<mesh::LocalBoundary> &local_boundary,
                std::map<int, Eigen::MatrixXd> &mapped_boundary);
 
            static void wachspress(const Eigen::MatrixXd &polygon, const Eigen::RowVector2d &point, Eigen::MatrixXd &b, const double tol);
            static void wachspress_derivative(const Eigen::MatrixXd &polygon, const Eigen::RowVector2d &point, Eigen::MatrixXd &derivatives, const double tol);
        };
    } // namespace basis
} // namespace polyfem