NodeProblem.cpp

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#include "NodeProblem.hpp"
#include <polyfem/utils/Logger.hpp>
#include <polyfem/utils/JSONUtils.hpp>
 
#include <iostream>
#include <fstream>
 
namespace polyfem
{
    using namespace utils;
 
    namespace problem
    {
        NodeValues::NodeValues()
        {
        }
 
        void NodeValues::load(const io::ResourceIO &resources, const std::string &path)
        {
            auto file = resources.open(path, false);
 
            std::string s;
 
            while (getline(*file, s))
            {
                std::stringstream input(s);
 
                int id;
                input >> id;
                raw_ids_.push_back(id);
 
                bool flag;
                input >> flag;
                raw_dirichlet_.push_back(flag);
 
                double temp;
                raw_data_.emplace_back();
                std::vector<double> &currentLine = raw_data_.back();
 
                while (input >> temp)
                    currentLine.push_back(temp);
            }
        }
 
        void NodeValues::init(const mesh::Mesh &mesh)
        {
            const int n_primitive = mesh.is_volume() ? mesh.n_faces() : mesh.n_edges();
            if (!data_.empty())
            {
                assert(data_.size() == n_primitive);
                assert(dirichlet_.size() == n_primitive);
                return;
            }
 
            data_.resize(n_primitive);
            dirichlet_.resize(n_primitive);
 
            for (size_t i = 0; i < raw_ids_.size(); ++i)
            {
                const int index = raw_ids_[i];
 
                dirichlet_[index] = raw_dirichlet_[i];
 
                data_[index].resize(raw_data_[i].size());
                for (size_t j = 0; j < raw_data_[i].size(); ++j)
                    data_[index](j) = raw_data_[i][j];
            }
        }
 
        double NodeValues::interpolate(const int p_id, const Eigen::MatrixXd &uv, bool is_dirichlet) const
        {
            assert(dirichlet_[p_id] == is_dirichlet);
 
            const auto &vals = data_[p_id];
            assert(uv.size() == vals.size());
 
            return (uv.array() * vals.transpose().array()).sum();
        }
 
        NodeProblem::NodeProblem(const std::string &name)
            : Problem(name), rhs_(0), is_all_(false)
        {
        }
 
        void NodeProblem::init(const mesh::Mesh &mesh)
        {
            values_.init(mesh);
        }
 
        void NodeProblem::rhs(const assembler::Assembler &assembler, const Eigen::MatrixXd &pts, const double t, Eigen::MatrixXd &val, const int) const
        {
            val = Eigen::MatrixXd::Constant(pts.rows(), pts.cols(), rhs_);
        }
 
        void NodeProblem::dirichlet_bc(const mesh::Mesh &mesh, const Eigen::MatrixXi &global_ids, const Eigen::MatrixXd &uv, const Eigen::MatrixXd &pts, const double t, Eigen::MatrixXd &val, const int) const
        {
            val = Eigen::MatrixXd::Zero(pts.rows(), 1);
 
            for (long i = 0; i < uv.rows(); ++i)
            {
                const int p_id = global_ids(i);
                if (is_all_)
                {
                    val(i) = values_.dirichlet_interpolate(p_id, uv.row(i));
                }
                else
                {
                    const int id = mesh.get_boundary_id(p_id);
                    for (size_t b = 0; b < boundary_ids_.size(); ++b)
                    {
                        if (id == boundary_ids_[b])
                        {
                            val(i) = values_.dirichlet_interpolate(p_id, uv.row(i));
                            break;
                        }
                    }
                }
            }
        }
 
        void NodeProblem::neumann_bc(const mesh::Mesh &mesh, const Eigen::MatrixXi &global_ids, const Eigen::MatrixXd &uv, const Eigen::MatrixXd &pts, const Eigen::MatrixXd &normals, const double t, Eigen::MatrixXd &val, const int) const
        {
            val = Eigen::MatrixXd::Zero(pts.rows(), 1);
 
            for (long i = 0; i < uv.rows(); ++i)
            {
                const int p_id = global_ids(i);
                const int id = mesh.get_boundary_id(p_id);
                for (size_t b = 0; b < boundary_ids_.size(); ++b)
                {
                    if (id == boundary_ids_[b])
                    {
                        val(i) = values_.neumann_interpolate(p_id, uv.row(i));
                        break;
                    }
                }
            }
        }
 
        bool NodeProblem::is_dimension_dirichet(const int tag, const int dim, const int fe_space_id) const
        {
            if (all_dimensions_dirichlet(fe_space_id))
                return true;
 
            if (is_all_)
            {
                return dirichlet_dimensions_[0][dim];
            }
 
            for (size_t b = 0; b < boundary_ids_.size(); ++b)
            {
                if (tag == boundary_ids_[b])
                {
                    auto &tmp = dirichlet_dimensions_[b];
                    return tmp[dim];
                }
            }
 
            assert(false);
            return true;
        }
 
        void NodeProblem::set_parameters(const json &params, const io::ResourceIO &resources)
        {
            if (params.contains("rhs"))
            {
                rhs_ = params["rhs"];
            }
 
            if (params.contains("values"))
            {
                const std::string path = params["values"];
                values_.load(resources, path);
            }
 
            if (params.contains("dirichlet_boundary"))
            {
                boundary_ids_.clear();
                std::vector<json> j_boundary = utils::json_as_array(params["dirichlet_boundary"]);
 
                boundary_ids_.resize(j_boundary.size());
                dirichlet_dimensions_.resize(j_boundary.size());
 
                for (size_t i = 0; i < boundary_ids_.size(); ++i)
                {
                    if (j_boundary[i]["id"] == "all")
                    {
                        assert(boundary_ids_.size() == 1);
                        is_all_ = true;
                        boundary_ids_.clear();
                    }
                    else
                        boundary_ids_[i] = j_boundary[i]["id"];
 
                    dirichlet_dimensions_[i].setConstant(false);
 
                    if (j_boundary[i].contains("dimension"))
                    {
                        all_dimensions_dirichlet_ = false;
                        auto &tmp = j_boundary[i]["dimension"];
                        assert(tmp.is_array());
                        for (size_t k = 0; k < tmp.size(); ++k)
                            dirichlet_dimensions_[i](k) = tmp[k];
                    }
                }
            }
 
            if (params.contains("neumann_boundary"))
            {
                neumann_boundary_ids_.clear();
                auto j_boundary = params["neumann_boundary"];
 
                neumann_boundary_ids_.resize(j_boundary.size());
 
                for (size_t i = 0; i < neumann_boundary_ids_.size(); ++i)
                {
                    neumann_boundary_ids_[i] = j_boundary[i]["id"];
                }
            }
        }
    } // namespace problem
} // namespace polyfem