This commit uses global pre allocated work space to dramatically reduce memory usage and allocation time
257 lines
11 KiB
C++
257 lines
11 KiB
C++
module;
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#include <compare>
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#include <cstdint>
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#include <expected>
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#include <limits>
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#include <memory>
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#include <optional>
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#include <stdexcept>
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#include <vector>
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#include <mfem.hpp>
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export module mean_field:operators.prepared_angular_momentum;
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export import :fem;
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export import :mapping.domain_mapper;
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export import :mapping.prepared_cache;
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export import :model.compiled_fixed_angular_momentum;
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export import :operators.context.gravity_field;
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export namespace mean_field::operators {
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struct AngularMomentumDependencyStamp final {
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std::uint64_t identity{0};
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std::uint64_t revision{0};
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constexpr auto operator<=>(const AngularMomentumDependencyStamp &) const = default;
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};
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struct AngularMomentumDependencies final {
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AngularMomentumDependencyStamp discretization;
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AngularMomentumDependencyStamp density;
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AngularMomentumDependencyStamp displacement;
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AngularMomentumDependencyStamp rotation;
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constexpr auto operator<=>(const AngularMomentumDependencies &) const = default;
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};
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struct PreparedAngularMomentumReport final {
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bool rebuiltStaticPlan{false};
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bool refreshedGeometry{false};
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bool refreshedDensity{false};
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bool updatedAngularVelocity{false};
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bool assembledResidual{false};
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[[nodiscard]] bool DidAnyWork() const noexcept {
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return rebuiltStaticPlan || refreshedGeometry || refreshedDensity || updatedAngularVelocity ||
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assembledResidual;
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}
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constexpr auto operator<=>(const PreparedAngularMomentumReport &) const = default;
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};
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enum class AngularMomentumPreparationRejectionReason : std::uint8_t {
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inverted_geometry,
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non_finite_geometry,
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non_finite_angular_velocity,
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non_finite_density,
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negative_moment_of_inertia,
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non_finite_moment_of_inertia,
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non_finite_residual
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};
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/*
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* A trial state can fail to define the angular-momentum invariant without
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* violating the operator's structural contract. Keep that distinction in
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* a fixed-size value so a line search can reject the candidate without
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* constructing or transporting an exception.
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*/
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struct AngularMomentumPreparationRejection final {
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AngularMomentumPreparationRejectionReason reason{AngularMomentumPreparationRejectionReason::inverted_geometry};
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mapping::MappingStatus mappingStatus{mapping::MappingStatus::valid};
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double momentOfInertia{std::numeric_limits<double>::quiet_NaN()};
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};
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using AngularMomentumPreparationResult =
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std::expected<PreparedAngularMomentumReport, AngularMomentumPreparationRejection>;
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[[noreturn]] inline void
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throwAngularMomentumPreparationRejection(const AngularMomentumPreparationRejection &rejection) {
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switch (rejection.reason) {
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case AngularMomentumPreparationRejectionReason::inverted_geometry:
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throw std::domain_error("The angular-momentum trial inverts mapped geometry.");
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case AngularMomentumPreparationRejectionReason::non_finite_geometry:
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throw std::domain_error("The angular-momentum trial produced non-finite mapped geometry.");
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case AngularMomentumPreparationRejectionReason::non_finite_angular_velocity:
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throw std::domain_error("The angular-momentum trial has a non-finite angular velocity.");
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case AngularMomentumPreparationRejectionReason::non_finite_density:
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throw std::domain_error("The angular-momentum trial produced a non-finite interpolated density.");
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case AngularMomentumPreparationRejectionReason::negative_moment_of_inertia:
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throw std::domain_error("The angular-momentum trial produced a negative moment of inertia.");
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case AngularMomentumPreparationRejectionReason::non_finite_moment_of_inertia:
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throw std::domain_error("The angular-momentum trial produced a non-finite moment of inertia.");
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case AngularMomentumPreparationRejectionReason::non_finite_residual:
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throw std::domain_error("The angular-momentum trial produced a non-finite residual.");
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}
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throw std::logic_error("An unknown angular-momentum trial rejection was reported.");
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}
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struct AngularMomentumConstraintReport final {
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double targetAngularMomentum;
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double achievedAngularMomentum;
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double momentOfInertia;
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double angularVelocity;
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double dimensionalResidual;
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double scaledResidual;
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};
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struct PreparedAngularMomentumActionStatistics final {
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std::uint64_t densityApplications{0};
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std::uint64_t displacementApplications{0};
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std::uint64_t angularVelocityApplications{0};
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std::uint64_t completeApplications{0};
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constexpr auto operator<=>(const PreparedAngularMomentumActionStatistics &) const = default;
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};
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/*
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* Prepared scalar invariant
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*
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* R_J(rho, d, Omega) = Omega I_axis(rho, d) - J_target,
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* I_axis = integral rho |(x-x_0)_perp|^2 dV.
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*
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* The axis is normalized by CompiledFixedAngularMomentum. Density and
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* geometry are borrowed from the shared gravity context, so this row is
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* linearized at exactly the same mapped state as every physical equation.
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*/
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class PreparedAngularMomentumOperator final {
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public:
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using SpecificationType = models::FixedAngularMomentum;
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using CompiledConstraintType = models::CompiledFixedAngularMomentum;
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using Dependencies = AngularMomentumDependencies;
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using Report = PreparedAngularMomentumReport;
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PreparedAngularMomentumOperator(
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const fem::FEM &f,
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const mapping::DomainMapper &domainMapper,
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const context::gravity_field::GravityFieldLinearizationContext &gravityContext,
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models::CompiledFixedAngularMomentum constraint
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);
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PreparedAngularMomentumOperator(const PreparedAngularMomentumOperator &) = delete;
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PreparedAngularMomentumOperator &operator=(const PreparedAngularMomentumOperator &) = delete;
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PreparedAngularMomentumOperator(PreparedAngularMomentumOperator &&) = delete;
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PreparedAngularMomentumOperator &operator=(PreparedAngularMomentumOperator &&) = delete;
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PreparedAngularMomentumReport Prepare(
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double angularVelocity,
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const AngularMomentumDependencies &dependencies
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);
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[[nodiscard]] AngularMomentumPreparationResult TryPrepare(
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double angularVelocity,
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const AngularMomentumDependencies &dependencies
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);
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void BuildResidual(mfem::Vector &residual) const;
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void ApplyDensityJacobianAction(
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const mfem::Vector &densityVariation,
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mfem::Vector &action
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) const;
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void ApplyDisplacementJacobianAction(
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const mfem::Vector &displacementVariation,
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mfem::Vector &action
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) const;
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void ApplyAngularVelocityJacobianAction(
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double angularVelocityVariation,
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mfem::Vector &action
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) const;
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void ApplyCompleteJacobianAction(
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const mfem::Vector &densityVariation,
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const mfem::Vector &displacementVariation,
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double angularVelocityVariation,
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mfem::Vector &action
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) const;
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[[nodiscard]] bool IsPrepared() const noexcept;
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[[nodiscard]] double GetMomentOfInertia() const;
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[[nodiscard]] double GetAngularVelocity() const;
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[[nodiscard]] double GetCurrentAngularMomentum() const;
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[[nodiscard]] double GetTargetAngularMomentum() const noexcept;
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[[nodiscard]] physics::RigidRotation GetRotation() const;
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[[nodiscard]] AngularMomentumConstraintReport GetConstraintReport() const;
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[[nodiscard]] std::uint64_t GetPreparationCount() const noexcept;
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[[nodiscard]] std::uint64_t GetResidualApplicationCount() const noexcept;
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[[nodiscard]] const PreparedAngularMomentumActionStatistics &GetActionStatistics() const noexcept;
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[[nodiscard]] const models::CompiledFixedAngularMomentum &GetCompiledConstraint() const noexcept;
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template <typename Visitor> void VisitMappedGeometryRules(Visitor &&visitor) const {
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for (const ElementPAData &data : m_elements) {
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visitor(data.elementId, *data.integrationRule);
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}
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}
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private:
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struct ElementPAData final {
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int elementId{-1};
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mfem::Array<int> densityDofs;
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mfem::Array<int> displacementDofs;
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mfem::Array<int> compactificationDofs;
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mfem::DofTransformation *densityDofTransformation{nullptr};
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mfem::DofTransformation *displacementDofTransformation{nullptr};
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mfem::DofTransformation *compactificationDofTransformation{nullptr};
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const mfem::IntegrationRule *integrationRule{nullptr};
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mfem::Vector baseDisplacement;
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mfem::Vector compactification;
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std::shared_ptr<const fem::ScalarReferenceTable> densityBasis;
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mapping::VolumeMappingCache mappingContexts;
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mfem::Vector density;
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mfem::Vector quadratureWeights;
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mfem::Vector cylindricalRadiusSquared;
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};
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void BuildStaticPlan();
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[[nodiscard]] std::optional<mapping::MappingStatus> RefreshGeometry(const mfem::Vector &displacement);
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[[nodiscard]] bool RefreshDensity(const mfem::Vector &density);
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[[nodiscard]] std::optional<AngularMomentumPreparationRejection> TryAssembleResidual();
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void VerifyPrepared() const;
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[[nodiscard]] double EvaluateDensityMomentActionLocal(const mfem::Vector &densityVariation) const;
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[[nodiscard]] double EvaluateDisplacementMomentActionLocal(const mfem::Vector &displacementVariation) const;
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[[nodiscard]] double CylindricalRadiusSquared(const mfem::Vector &physicalPosition) const noexcept;
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[[nodiscard]] double CylindricalRadiusSquaredVariation(
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const mfem::Vector &physicalPosition,
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const mfem::Vector &physicalPositionVariation
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) const noexcept;
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[[nodiscard]] double GlobalSum(double localValue) const;
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const fem::FEM &m_fem;
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const mapping::DomainMapper &m_domainMapper;
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const context::gravity_field::GravityFieldLinearizationContext &m_gravityContext;
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models::CompiledFixedAngularMomentum m_constraint;
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std::vector<ElementPAData> m_elements;
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AngularMomentumDependencies m_preparedDependencies;
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mfem::Vector m_cachedResidual;
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mutable mfem::Vector m_densityVariationTrue;
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mutable mfem::Vector m_displacementVariationTrue;
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mutable mfem::Vector m_densityVariationLocal;
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mutable mfem::Vector m_displacementVariationLocal;
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mutable mfem::Vector m_elementDensityVariation;
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mutable mfem::Vector m_elementDisplacementVariation;
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double m_momentOfInertia{0.0};
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double m_angularVelocity{0.0};
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double m_currentAngularMomentum{0.0};
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std::uint64_t m_preparationCount{0};
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mutable std::uint64_t m_residualApplicationCount{0};
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mutable PreparedAngularMomentumActionStatistics m_actionStatistics;
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bool m_isPrepared{false};
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};
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} // namespace mean_field::operators
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