NLHomoProblem.hpp

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#pragma once
 
#include "NLProblem.hpp"
 
namespace polyfem
{
    class State;
    namespace assembler {
        class MacroStrainValue;
    }
}
 
namespace polyfem::solver
{
    class NLHomoProblem : public NLProblem
    {
    public:
        using typename FullNLProblem::Scalar;
        using typename FullNLProblem::THessian;
        using typename FullNLProblem::TVector;
 
        NLHomoProblem(const int full_size,
                  const std::vector<int> &boundary_nodes,
                  const std::vector<mesh::LocalBoundary> &local_boundary,
                  const int n_boundary_samples,
                  const assembler::RhsAssembler &rhs_assembler,
                  const assembler::MacroStrainValue &macro_strain_constraint,
                  const State &state,
                  const double t, const std::vector<std::shared_ptr<Form>> &forms, 
                  const bool solve_symmetric_macro_strain);
        virtual ~NLHomoProblem() = default;
 
        double value(const TVector &x) override;
        void gradient(const TVector &x, TVector &gradv) override;
        void hessian(const TVector &x, THessian &hessian) override;
 
        void full_hessian_to_reduced_hessian(const THessian &full, THessian &reduced) const override;
 
        int macro_reduced_size() const;
 
        TVector full_to_reduced(const TVector &full, const Eigen::MatrixXd &disp_grad) const;
        TVector full_to_reduced(const TVector &full) const override;
        TVector full_to_reduced_grad(const TVector &full) const override;
        TVector reduced_to_full(const TVector &reduced) const override;
        TVector reduced_to_full_shape_derivative(const Eigen::MatrixXd &disp_grad, const TVector &adjoint_full) const;
 
        TVector reduced_to_extended(const TVector &reduced, bool homogeneous = false) const;
        TVector extended_to_reduced(const TVector &extended) const;
        TVector extended_to_reduced_grad(const TVector &extended) const;
        void extended_hessian_to_reduced_hessian(const THessian &extended, THessian &reduced) const;
 
        Eigen::MatrixXd reduced_to_disp_grad(const TVector &reduced, bool homogeneous = false) const;
 
        void set_fixed_entry(const Eigen::VectorXi &fixed_entry);
 
        void init(const TVector &x0) override;
        bool is_step_valid(const TVector &x0, const TVector &x1) override;
        bool is_step_collision_free(const TVector &x0, const TVector &x1) override;
        double max_step_size(const TVector &x0, const TVector &x1) override;
 
        void line_search_begin(const TVector &x0, const TVector &x1) override;
        void post_step(const polysolve::nonlinear::PostStepData &data) override;
 
        void solution_changed(const TVector &new_x) override;
 
        void init_lagging(const TVector &x) override;
        void update_lagging(const TVector &x, const int iter_num) override;
 
        void update_quantities(const double t, const TVector &x) override;
 
        void add_form(const std::shared_ptr<Form> &form) { homo_forms.push_back(form); }
        bool has_symmetry_constraint() const { return only_symmetric; }
 
    protected:
        Eigen::MatrixXd boundary_values() const override;
 
    private:
        void init_projection();
        Eigen::MatrixXd constraint_grad() const;
 
        TVector macro_full_to_reduced(const TVector &full) const;
        Eigen::MatrixXd macro_full_to_reduced_grad(const Eigen::MatrixXd &full) const;
        TVector macro_reduced_to_full(const TVector &reduced, bool homogeneous = false) const;
 
        const State &state_;
        const bool only_symmetric;
        const assembler::MacroStrainValue &macro_strain_constraint_;
 
        Eigen::VectorXi fixed_mask_;
        Eigen::MatrixXd macro_mid_to_reduced_; // (dim*dim) x (dim*(dim+1)/2)
        Eigen::MatrixXd macro_full_to_mid_, macro_mid_to_full_;
 
        std::vector<std::shared_ptr<Form>> homo_forms;
    };
}