SpatialIntegralForms.hpp

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#pragma once
 
#include <polyfem/State.hpp>
#include <polyfem/Common.hpp>
#include <polyfem/utils/Logger.hpp>
#include <polyfem/optimization/DiffCache.hpp>
#include <polyfem/optimization/forms/AdjointForm.hpp>
 
#include <Eigen/Core>
 
#include <set>
#include <string>
#include <vector>
#include <memory>
#include <utility>
 
namespace polyfem::solver
{
    class SpatialIntegralForm : public StaticForm
    {
    public:
        SpatialIntegralForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : StaticForm(variable_to_simulations), state_(std::move(state)), diff_cache_(std::move(diff_cache))
        {
        }
 
        std::string name() const override { return "spatial_integral"; }
 
        Eigen::VectorXd compute_adjoint_rhs_step(const int time_step, const Eigen::VectorXd &x, const State &state, const DiffCache &diff_cache) const override;
        double value_unweighted_step(const int time_step, const Eigen::VectorXd &x) const override;
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        void set_integral_type(const SpatialIntegralType type) { spatial_integral_type_ = type; }
 
        virtual IntegrableFunctional get_integral_functional() const = 0;
 
        std::shared_ptr<const State> state_;
        std::shared_ptr<const DiffCache> diff_cache_;
        SpatialIntegralType spatial_integral_type_;
        std::set<int> ids_;
    };
 
    class ElasticEnergyForm : public SpatialIntegralForm
    {
    public:
        ElasticEnergyForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
        }
 
        std::string name() const override { return "elastic_energy"; }
 
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
    };
 
    class StressNormForm : public SpatialIntegralForm
    {
    public:
        StressNormForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
 
            if (args["power"] > 0)
                in_power_ = args["power"];
        }
 
        std::string name() const override { return "stress_norm"; }
 
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
 
    private:
        int in_power_ = 2;
    };
 
    class DirichletEnergyForm : public SpatialIntegralForm
    {
    public:
        DirichletEnergyForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
 
        {
            std::string formulation = state_->formulation();
            if (!(formulation == "Laplacian" || formulation == "Electrostatics"))
                log_and_throw_adjoint_error("DirichletEnergyForm can only be used with Laplacian or Electrostatics problems!");
 
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
        }
 
        std::string name() const override { return "dirichlet_energy"; }
 
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
    };
 
    class ComplianceForm : public SpatialIntegralForm
    {
    public:
        ComplianceForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
        }
 
        std::string name() const override { return "compliance"; }
 
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
    };
 
    class PositionForm : public SpatialIntegralForm
    {
    public:
        PositionForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
 
            set_dim(args["dim"]);
        }
 
        void set_dim(const int dim) { dim_ = dim; }
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
 
    private:
        int dim_ = 0;
    };
 
    class AccelerationForm : public SpatialIntegralForm
    {
    public:
        AccelerationForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
 
            set_dim(args["dim"].get<int>());
        }
 
        void set_dim(const int dim) { dim_ = dim; }
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
 
    private:
        int dim_ = 0;
    };
 
    class KineticForm : public SpatialIntegralForm
    {
    public:
        KineticForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
        }
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
    };
 
    class StressForm : public SpatialIntegralForm
    {
    public:
        StressForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
 
            dimensions_ = args["dimensions"].get<std::vector<int>>();
        }
 
        std::string name() const override { return "stress"; }
 
        void compute_partial_gradient_step(const int time_step, const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override;
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
 
        std::vector<int> dimensions_;
    };
 
    class VolumeForm : public SpatialIntegralForm
    {
    public:
        VolumeForm(const VariableToSimulationGroup &variable_to_simulations, std::shared_ptr<const State> state, std::shared_ptr<const DiffCache> diff_cache, const json &args)
            : SpatialIntegralForm(variable_to_simulations, std::move(state), std::move(diff_cache), args)
        {
            set_integral_type(SpatialIntegralType::Volume);
 
            auto tmp_ids = args["volume_selection"].get<std::vector<int>>();
            ids_ = std::set(tmp_ids.begin(), tmp_ids.end());
        }
 
    protected:
        IntegrableFunctional get_integral_functional() const override;
    };
} // namespace polyfem::solver