Index

A

a (pyna.fields.coords.Coords4DKerr attribute) (pyna.flt_cuda.FieldLineTracerCUDA attribute) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic attribute) A (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) a (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) a_eff (pyna.toroidal.minor_radius.GeometricMinorRadiusProvider attribute) A_matrix (pyna.control.topology_state.OPointState attribute) (pyna.control.topology_state.XPointState attribute) A_matrix() (in module pyna.control.FPT) a_minor (pyna.topo.topology_eval.DeviceConfig attribute) abs (pyna.fields.cylindrical.VectorFieldCylind property) accelerations() (pyna.dynamics.NBodySystem method) accept_func (pyna.topo.section.HyperplaneSection attribute) (pyna.topo.section.ParametricSection attribute) accepts() (pyna.topo.section.HyperplaneSection method) (pyna.topo.section.ParametricSection method) (pyna.topo.section.Section method) accumulate_s_from_RZ_arr() (in module pyna.topo.manifold) adaptive_wall_fraction_seed_points() (in module pyna.toroidal.flt.adaptive_density) AdaptivePoincareSectionTraces (class in pyna.toroidal.flt.adaptive_density) add_child_chain() (pyna.topo.core.Island method) add_coil() (pyna.toroidal.coils.coil_system.CoilSet method) add_from_orbit_clouds() (pyna.topo.builders.IslandChainBuilder method) add_island() (pyna.topo.builders.IslandChainBuilder method) (pyna.topo.core.IslandChain method) add_tube() (pyna.topo.builders.TubeChainBuilder method) added_R (pyna.toroidal.flt.adaptive_density.BoundarySeedDensificationResult attribute) added_Z (pyna.toroidal.flt.adaptive_density.BoundarySeedDensificationResult attribute) alive (pyna.topo.fpt.OrbitPerturbationShift attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) all_fixed_points (pyna.topo.topology_analysis.TopologyReport attribute), [1] all_gaps() (pyna.toroidal.control.wall.WallGeometry method) alpha (pyna.toroidal.visual.RMP_spectrum.SurfaceMapResidual attribute) ambient_dim (pyna.context.DynamicsContext property) (pyna.topo.core.Cycle property) (pyna.topo.core.Orbit property) (pyna.topo.core.PeriodicOrbit property) (pyna.topo.core.SectionPoint property) (pyna.topo.core.Trajectory property) (pyna.topo.invariant.InvariantTorus property) (pyna.topo.invariant_torus.InvariantTorus attribute) (pyna.topo.invariants.FixedPoint property) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) amplitude (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum property) (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum property) (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix property) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) analyse_topology() (in module pyna.topo.topology_analysis) analytic_coil_field_batched_gpu() (in module pyna.toroidal.coils.accel) analyze_resonant_island_chains() (in module pyna.toroidal.perturbation_spectrum) analyze_resonant_island_chains_multi_n() (in module pyna.toroidal.perturbation_spectrum) anti_diagnoal() (in module pyna.polynomial) ANTISYMMETRIC (pyna.fields.properties.FieldProperty attribute)

apply_radial_mode_overlays() (in module pyna.toroidal.visual.magnetic_spectrum) apply_rational_surface_overlays() (in module pyna.toroidal.visual.magnetic_spectrum) apply_section_limits() (in module pyna.plot.section_geometry) arc_weight (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) area() (pyna.topo.flux_surface.FluxSurface method) arg_dim (pyna.flow.Flow property) (pyna.flow.FlowCallable property) (pyna.flow.FlowSympy property) (pyna.map.Map property) (pyna.map.MapCallable property) (pyna.map.MapCallableComposite property) (pyna.map.MapSympy property) (pyna.map.MapSympyComposite property) (pyna.map.MapUniCallable property) array_hash() (in module pyna.cache) ArrayLike (in module pyna.topo.healed_flux_coords) as_array() (pyna.topo.toroidal_section_view.SectionViewPoint method) as_arrays() (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain method) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit method) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory method) as_backend() (pyna.cache.HDF5Backend method) as_cycle() (in module pyna.topo.adapters) as_dict() (pyna.toroidal.geometry.ToroidalComponentSurface method) as_field_cache() (pyna.fields.cylindrical.CylindricalFieldArrays method) as_fixed_point() (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint method) as_fp_by_section() (pyna.toroidal.flt.island_chain.BoundaryIslandChain method) as_orbit() (in module pyna.topo.adapters) (pyna.topo.invariants.FixedPoint method) as_periodic_orbit() (in module pyna.topo.adapters) as_scalar_field_cylind (in module pyna.fields.cylindrical) as_scalar_field_cylindrical() (in module pyna.fields.cylindrical) as_section_point() (in module pyna.topo.adapters) (pyna.topo.invariants.FixedPoint method) as_trajectory() (in module pyna.topo.adapters) as_twall_arrays() (pyna.toroidal.geometry.ToroidalComponentSurface method) as_vector_field_cylind (in module pyna.fields.cylindrical) as_vector_field_cylindrical() (in module pyna.fields.cylindrical) assemble_boundary_island_chains() (in module pyna.toroidal.flt.island_chain) assemble_boundary_island_chains_field() (in module pyna.toroidal.flt.island_chain) assign_island_chain_pest_angles() (in module pyna.toroidal.coords.island_healing) assign_island_chain_pest_angles_from_orbit() (in module pyna.toroidal.coords.island_healing) assign_pest_angles_from_orbit() (in module pyna.toroidal.coords.island_healing) async_write (pyna.cache.CacheStore attribute) attract_arcs (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) attract_points (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) AutonomousDynamicalSystem (class in pyna.system) axes (pyna.fields.tensor.TensorField4DRank2 property) axis (pyna.topo.healed_flux_coords.XOSequence attribute) axis_cycle_shift_from_fields() (in module pyna.toroidal.flt.cycle_shift) axis_R (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) (pyna.toroidal.flt.cycle_shift.AxisCycleShift attribute) axis_Z (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) (pyna.toroidal.flt.cycle_shift.AxisCycleShift attribute) AxisCoreInsertion (class in pyna.toroidal.pest_coords) AxisCycleShift (class in pyna.toroidal.flt.cycle_shift) AxisymmetricField (in module pyna.fields.toroidal)

B

B (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.ScalarFieldCylindAxisym property) (pyna.fields.toroidal.Equilibrium attribute) (pyna.fields.toroidal.EquilibriumLike property) B0 (pyna.flt_cuda.FieldLineTracerCUDA attribute) b0 (pyna.imas_compat.IMASEquilibriumIDS attribute) B0 (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic attribute) (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev property) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) B2_jacobian_B (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) b_abs (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) B_abs_at() (EBField.EBField method) B_at() (EBField.EBField method) (LoopBetweenCapacitor.LoopBetweenCapacitor method) (pyna.toroidal.coils.base.CoilFieldScaled method) (pyna.toroidal.coils.base.CoilFieldSuperposition method) (pyna.toroidal.coils.base.CoilFieldVacuum method) (pyna.toroidal.coils.coil.CoilFieldAnalyticCircular method) (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection method) (pyna.toroidal.coils.coil_system.CoilFieldBiotSavart method) (pyna.toroidal.coils.vector_potential.CoilFieldVectorPotential method) B_at_grid() (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection method) B_field() (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym method) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic method) (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) b_fit (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) B_from_circular_capacitor_charging() (in module electromagnetics) B_from_circular_coil() (in module electromagnetics) B_from_TF_coils() (in module electromagnetics) b_mn (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) b_mn_amplitude (pyna.imas_compat.IMASMHDLinearIDS attribute) b_mn_phase (pyna.imas_compat.IMASMHDLinearIDS attribute) b_phase_fit (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) b_phase_shift (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) b_res (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) BACKENDS (in module pyna.cache) bar3d_tilde_b_mn_on_surface() (in module pyna.draw.resonant) basis_delta_lambda() (in module pyna.control.FPT_3d) biot_savart_all_coils_gpu() (in module pyna.toroidal.coils.accel) Biot_Savart_field() (in module pyna.toroidal.coils.coil_system) biot_savart_field() (in module pyna.toroidal.coils.cuda_kernels) biot_savart_field_cpu() (in module pyna.toroidal.coils.cuda_kernels) biot_savart_field_gpu() (in module pyna.toroidal.coils.cuda_kernels) blend_width (pyna.topo.island_healed_coords.IslandHealedCoordMap attribute) BoozerCoordinateMesh (class in pyna.toroidal.boozer_coords) boundary_family (pyna.topo.healed_flux_coords.SectionScaffoldBundle attribute) boundary_island_edge_state_payload() (in module pyna.toroidal.flt.island_chain) boundary_island_topology_payload_field() (in module pyna.toroidal.flt.island_chain) boundary_recurrence_seed_candidates_field() (in module pyna.toroidal.flt.island_chain) boundary_seed_grid() (in module pyna.toroidal.flt.island_chain) boundary_source (pyna.topo.healed_flux_coords.SectionFit attribute) boundary_valid_fraction (pyna.topo.healed_flux_coords.SectionFit attribute) boundary_wall_fractions() (in module pyna.toroidal.flt.island_chain) BoundaryConstraintSet (class in pyna.topo.healed_flux_coords) BoundaryFamily3D (class in pyna.topo.healed_flux_coords) BoundaryIslandChain (class in pyna.toroidal.flt.island_chain) BoundaryIslandDenseChain (class in pyna.toroidal.flt.island_chain) BoundaryIslandDenseOrbit (class in pyna.toroidal.flt.island_chain) BoundaryIslandFixedPoint (class in pyna.toroidal.flt.island_chain)

BoundaryIslandOrbit (class in pyna.toroidal.flt.island_chain) BoundaryIslandSearchResult (class in pyna.toroidal.flt.island_chain) BoundaryIslandSeedCandidates (class in pyna.toroidal.flt.island_chain) BoundarySection (class in pyna.topo.healed_flux_coords) BoundarySeedDensificationResult (class in pyna.toroidal.flt.adaptive_density) BPhi (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.io.mgrid.MGridField attribute) Bphi() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) BPhi_flat (pyna.fields.cylindrical.CylindricalFieldArrays property) BPOL_CMAP (in module pyna.toroidal.visual.equilibrium) Bpol_lcfs (pyna.control.optimizer.ControlWeights attribute) (pyna.control.topology_state.TopologyState attribute) BR (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.io.mgrid.MGridField attribute) BR_BZ() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) BR_flat (pyna.fields.cylindrical.CylindricalFieldArrays property) branch (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) branch_payload_point_subset() (in module pyna.plot.section_geometry) branch_payload_smax() (in module pyna.plot.section_geometry) BRBZ_induced_by_current_loop() (in module pyna.toroidal.coils.coil) BRBZ_induced_by_thick_finitelen_solenoid() (in module pyna.toroidal.coils.coil) BRBZ_induced_by_thick_finitelen_solenoid_multiprocessing() (in module pyna.toroidal.coils.coil) brownian_dim (pyna.dynamics.ItoSDE attribute) BrownianMotion (class in pyna.dynamics) build() (pyna.topo.builders.IslandChainBuilder method) (pyna.topo.builders.TubeChainBuilder method) (pyna.topo.island_healed_coords.IslandHealedCoordMap class method) build_A_matrix_func() (in module pyna.topo.monodromy) build_Boozer_coordinates() (in module pyna.toroidal.boozer_coords) build_Boozer_mesh() (in module pyna.toroidal.coords.Boozer) build_cxo_spline() (in module pyna.topo.healed_flux_coords) build_delta_b_pol_func() (in module pyna.topo.monodromy) build_equal_arc_mesh() (in module pyna.toroidal.coords.EqualArc) build_from_island_chain() (in module pyna.topo.island_healed_coords) build_from_orbits() (in module pyna.topo.island_healed_coords) build_from_trajectory_npz() (in module pyna.topo.island_healed_coords) build_full_response_matrix() (in module pyna.control.response_matrix) build_Hamada_mesh() (in module pyna.toroidal.coords.Hamada) build_pchip_family() (in module pyna.topo.healed_flux_coords) build_PEST_mesh() (in module pyna.toroidal.coords.PEST) build_prefect_fieldline_flow() (in module pyna.toroidal.flt.trajectory) build_prefect_trace_orbit_flow() (in module pyna.workflow.tracing) build_prefect_trace_trajectory_flow() (in module pyna.workflow.tracing) build_prefect_wall_post_compute_flow() (in module pyna.toroidal.flt.postcompute) build_qprofile_response() (in module pyna.toroidal.control.qprofile_response) build_r1_boundary() (in module pyna.toroidal.coords.island_healing) build_r1_boundary_from_anchors() (in module pyna.toroidal.coords.island_healing) build_r1_boundary_from_orbit() (in module pyna.toroidal.coords.island_healing) build_response_matrix() (in module pyna.control.response_matrix) build_section_scaffold_bundle() (in module pyna.topo.healed_flux_coords) build_xo_sequence() (in module pyna.topo.healed_flux_coords) bundle_tracing_with_t_as_DeltaPhi (in module pyna.topo.manifold) BZ (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.io.mgrid.MGridField attribute) BZ_flat (pyna.fields.cylindrical.CylindricalFieldArrays property)

C

c (pyna.fields.coords.Coords4DKerr attribute) (pyna.fields.coords.Coords4DMinkowski attribute) (pyna.fields.coords.Coords4DSchwarzschild attribute) cache_info() (in module pyna.cache) CacheStore (class in pyna.cache) calc_dRZdSTET_mesh() (in module pyna.toroidal.coords.coordinate) CallableFlow (class in pyna.dynamics) CallableMap (class in pyna.dynamics) chain (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) chain_id (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) chaotic_boundary_estimate() (in module pyna.topo.chaos) chaotic_boundary_R (pyna.topo.topology_analysis.TopologyReport attribute) chaotic_boundary_Z (pyna.topo.topology_analysis.TopologyReport attribute) charges (pyna.dynamics.NBodySystem attribute) check_lambdify_package_available() (in module pyna.sysutil) child_chains (pyna.topo.core.Island attribute) children (pyna.topo.topology_analysis.IslandChain attribute), [1] chirikov_after (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) chirikov_before (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) chirikov_overlap() (in module pyna.topo.chaos) chirikov_overlaps() (in module pyna.toroidal.perturbation_spectrum) chirikov_sigma (pyna.topo.topology_analysis.IslandChain attribute), [1] ChirikovOverlap (class in pyna.toroidal.perturbation_spectrum) christoffel_symbols() (pyna.fields.coords.CoordinateSystem method) (pyna.fields.coords.Coords3DCylindrical method) (pyna.fields.coords.Coords3DSpherical method) (pyna.fields.coords.Coords4DMinkowski method) (pyna.fields.coords.CoordsCartesian method) chunk_size (pyna.cache.HDF5Backend attribute) cid_key_press (matplotlib.pickpoints.Line2DExtender attribute) cid_mouse_press (matplotlib.pickpoints.Line2DExtender attribute) circle_map_lift_iota() (in module pyna.toroidal.pest_coords) circular() (pyna.flt.WallModel class method) circular_coil_field() (in module pyna.toroidal.coils.cuda_kernels) circular_coil_field_cpu() (in module pyna.toroidal.coils.cuda_kernels) circular_coil_field_gpu() (in module pyna.toroidal.coils.cuda_kernels) circular_shell_divergence_diagnostic() (in module pyna.toroidal.visual.RMP_spectrum) CircularCoilTemplate (class in pyna.toroidal.coils.accel) classification (pyna.topo.core.LinearStabilityData property) classify_fixed_point() (in module pyna.topo.fixed_points) classify_fixed_point_higher_order() (in module pyna.topo.fixed_points) classify_orbit() (in module pyna.topo.regularity) classify_surface_fate() (in module pyna.control.surface_fate) clear() (pyna.cache.CacheStore method) clear_cache() (in module pyna.cache) clear_global_cache() (in module pyna.cache) clear_manifold_cache() (in module pyna.toroidal.control.gap_response) clip (pyna.toroidal.minor_radius.GeometricMinorRadiusProvider attribute) clip_branch_payloads_by_arclength() (in module pyna.plot.section_geometry) close() (pyna.progress.CompositeProgress method) (pyna.progress.LogFileProgress method) (pyna.progress.MPIProgress method) (pyna.progress.NullProgress method) (pyna.progress.TqdmProgress method) (pyna.progress.TraceProgressBase method) close_periodic_field_cache_phi() (in module pyna.fields.cylindrical) close_periodic_phi_grid() (in module pyna.fields.cylindrical) closed_cycle() (pyna.topo.workflow.TopologyWorkflow method) closest_R (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) closest_Z (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) closing_error() (pyna.topo.workflow.TopologyWorkflow method) closure_residual (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) closure_tol (pyna.topo.builders.GeometryBuilder attribute) (pyna.topo.workflow.TopologyWorkflow attribute) co_comp_of_a_field() (in module pyna.toroidal.coords.PEST) coefficient (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix attribute) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) coerce_section() (in module pyna.topo.section) coerce_toroidal_section() (in module pyna.topo.section) coerce_toroidal_surface_arrays() (in module pyna.toroidal.geometry) coil_conductor (pyna.imas_compat.IMASCoilsNonAxisymmetric attribute) coil_current (pyna.imas_compat.IMASCoilsNonAxisymmetric attribute) coil_index (pyna.io.mgrid.MGridField attribute) coil_names (pyna.imas_compat.IMASCoilsNonAxisymmetric attribute) CoilFieldAnalyticCircular (class in pyna.toroidal.coils.coil) CoilFieldAnalyticRectangularSection (class in pyna.toroidal.coils.coil) CoilFieldBiotSavart (class in pyna.toroidal.coils.coil_system) CoilFieldScaled (class in pyna.toroidal.coils.base) CoilFieldSuperposition (class in pyna.toroidal.coils.base) CoilFieldVacuum (class in pyna.toroidal.coils.base) CoilFieldVectorPotential (class in pyna.toroidal.coils.vector_potential) coils (pyna.toroidal.coils.coil_system.CoilSet attribute) (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) CoilSet (class in pyna.toroidal.coils.coil_system) colour (pyna.progress.TqdmProgress attribute) compare_cyna_fixed_points_for_component() (in module pyna.toroidal.visual.RMP_spectrum) complete (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit property) component() (pyna.fields.tensor.Tensor2FieldCylind method) (pyna.fields.tensor.TensorField4DRank2 method) (pyna.topo.core.Trajectory method) component_order (pyna.fields.cylindrical.VectorFieldCylind attribute) component_stats() (pyna.toroidal.diagnostics.mgrid.PestCurrentComponents method) components (pyna.fields.cylindrical.VectorFieldCylind property) components_3d (pyna.fields.cylindrical.VectorFieldCylind property) compose_magnetic_perturbations() (in module pyna.toroidal.visual.RMP_spectrum) CompositeProgress (class in pyna.progress) compression (pyna.cache.HDF5Backend attribute) compression_opts (pyna.cache.HDF5Backend attribute) compute_A_matrix_batch_from_cache() (in module pyna.control.FPT_3d) compute_all_objectives() (in module pyna.toroidal.optimize.objectives) compute_beta_max_fast() (in module pyna.topo.fast_metrics) compute_current_density_cylindrical() (in module pyna.io.mgrid) compute_cycle_shift() (in module pyna.topo.fpt) compute_cycle_shift_from_cache() (in module pyna.topo.fpt) compute_delta_Pm() (pyna.topo.perturbation.CyclePerturbationShift method) compute_delta_x_cyc() (pyna.topo.perturbation.CyclePerturbationShift method) compute_J_by_curl() (in module pyna.fields.toroidal)

compute_mn_spectrum() (in module pyna.toroidal.visual.RMP_spectrum) compute_pest_current_components() (in module pyna.toroidal.diagnostics.mgrid) compute_profile_objectives_fast() (in module pyna.topo.fast_metrics) compute_resonant_amplitude() (in module pyna.toroidal.control.island_control) compute_surface_deformation() (in module pyna.toroidal.control.island_optimizer) compute_topology_state() (in module pyna.control.topology_state) condition_number() (pyna.toroidal.control.island_optimizer.IslandOptimizer method) config_type (pyna.topo.topology_eval.TopologyEval attribute) connected_component_count (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain property) connection_length() (in module pyna.connection_length) connection_length_map() (in module pyna.connection_length) connection_length_scale (pyna.control.topology_state.XPointState property) connection_length_views_from_wall_hits() (in module pyna.toroidal.flt.postcompute) CONSERVATIVE (pyna.fields.properties.FieldProperty attribute) contains() (pyna.cache.CacheStore method) (pyna.topo.flux_surface.FluxSurface method) (pyna.topo.section.HyperplaneSection method) (pyna.topo.section.ParametricSection method) (pyna.topo.section.Section method) (pyna.topo.section.ToroidalSection method) contiguous_prefix_mask() (in module pyna.plot.section_geometry) ContinuousFlow (class in pyna.topo.dynamics) contravariant_radial_component() (in module pyna.toroidal.perturbation_spectrum) contribution_rows() (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse method) control (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) ControlConstraints (class in pyna.control.optimizer) ControlWeights (class in pyna.control.optimizer) converged (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) coord_mirror() (in module pyna.toroidal.coords.coordinate) coord_names (pyna.fields.coords.CoordinateSystem property) (pyna.fields.coords.Coords3DCylindrical property) (pyna.fields.coords.Coords3DSpherical property) (pyna.fields.coords.Coords3DToroidal property) (pyna.fields.coords.Coords4DKerr property) (pyna.fields.coords.Coords4DMinkowski property) (pyna.fields.coords.Coords4DSchwarzschild property) (pyna.fields.coords.CoordsCartesian property) coord_system_change() (in module pyna.toroidal.coords.coordinate) coordinate_names (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.topo.core.Orbit attribute) (pyna.topo.core.SectionPoint property) (pyna.topo.core.Trajectory attribute) (pyna.topo.dynamics.PhaseSpace attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) CoordinateSystem (class in pyna.fields.coords) coords (pyna.fields.base.Field property) Coords3DCylindrical (class in pyna.fields.coords) Coords3DSpherical (class in pyna.fields.coords) Coords3DToroidal (class in pyna.fields.coords) Coords4DKerr (class in pyna.fields.coords) Coords4DMinkowski (class in pyna.fields.coords) Coords4DSchwarzschild (class in pyna.fields.coords) CoordsCartesian (class in pyna.fields.coords) copy() (pyna.topo.factories.Registry method) CoreSectionCutBridge (class in pyna.topo.bridges) correct_boundary_with_constraints() (in module pyna.topo.healed_flux_coords) correspondence (pyna.topo.toroidal_section_view.SectionView attribute) correspondence_at() (pyna.topo.healed_flux_coords.FieldLineScaffold3D method) count_self_intersections() (in module pyna.topo.healed_flux_coords) counter_comp_of_a_field() (in module pyna.toroidal.coords.PEST) counts (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) CoupledFixedPointSweep (class in pyna.toroidal.visual.RMP_spectrum) coupling (pyna.dynamics.NBodySystem attribute) covariant_derivative_of_vector() (in module pyna.fields.diff_ops) coverage_fraction() (pyna.topo.healed_flux_coords.SectionCorrespondence method) create() (pyna.topo.factories.DynamicalSystemFactory class method) (pyna.topo.factories.GeometryFactory static method) (pyna.topo.factories.PoincareMapFactory static method) (pyna.topo.factories.Registry method) create_rmp_section_layout() (in module pyna.plot.rmp) create_section_grid() (in module pyna.plot.section_geometry) create_W1d_interpolator_s_to_RZdRZds() (in module pyna.topo.manifold) cross() (in module pyna.utils.symutil.vector) (in module pyna.vector_calc) (pyna.fields.cylindrical.VectorFieldCylind method) cross_section_area() (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) crossing_array() (pyna.topo.invariant.InvariantTorus method) (pyna.topo.poincare.PoincareAccumulator method) crossing_direction() (pyna.topo.section.Section method) cs (in module pyna.fields.coords) cumulative_contribution() (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse method) cumulative_fraction (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) curl() (in module pyna.fields.diff_ops) (pyna.fields.cylindrical.VectorFieldCylind method) CURL_FREE (pyna.fields.properties.FieldProperty attribute) current (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property) (pyna.toroidal.coils.coil_system.CoilFieldBiotSavart property) currents (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) cut_cycle() (pyna.topo.bridges.CoreSectionCutBridge method) cut_tube() (pyna.topo.bridges.CoreSectionCutBridge method) (pyna.topo.bridges.SectionCutBridge method) cut_tube_chain() (pyna.topo.bridges.CoreSectionCutBridge method) (pyna.topo.bridges.SectionCutBridge method) cxo_param (pyna.topo.healed_flux_coords.SectionFit attribute) Cycle (class in pyna.topo.core) cycle() (pyna.context.DynamicsContext method) (pyna.topo.builders.GeometryBuilder method) (pyna.topo.workflow.TopologyWorkflow method) cycle_points_shift_from_fields() (in module pyna.toroidal.flt.cycle_shift) cycle_shift (pyna.toroidal.flt.cycle_shift.AxisCycleShift attribute) cycle_shift() (in module pyna.control.FPT) cycle_shift_from_fields() (in module pyna.toroidal.flt.cycle_shift) cycle_shifts (pyna.toroidal.flt.cycle_shift.CyclePointShift attribute) CyclePerturbationShift (class in pyna.topo.fpt) (class in pyna.topo.perturbation) CyclePointShift (class in pyna.toroidal.flt.cycle_shift) CycleVariationalData (class in pyna.topo.monodromy) CylindricalFieldArrays (class in pyna.fields.cylindrical) cyna_arrays() (pyna.fields.cylindrical.VectorFieldCylind method) cyna_component_args() (pyna.fields.cylindrical.CylindricalFieldArrays method) cyna_grid_args() (pyna.fields.cylindrical.CylindricalFieldArrays method) CynaStableManifold (in module pyna.topo.manifold_improve) CynaUnstableManifold (in module pyna.topo.manifold_improve)

D

D2Pm (pyna.control.topology_state.XPointState attribute) D3Pm (pyna.control.topology_state.XPointState attribute) d_capacitor (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) data (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.tensor.Tensor2FieldCylind property) (pyna.fields.tensor.TensorField4DRank2 property) data_2d (pyna.fields.tensor.Tensor2FieldCylindAxisym property) dBr (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.torus_deformation.RadialPerturbationSplit attribute) dBr_grid (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) debug_info (pyna.topo.core.Tube attribute) (pyna.topo.core.TubeChain attribute) (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) (pyna.topo.toroidal_section_view.SectionView attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) deduplicate_boundary_island_orbits() (in module pyna.toroidal.flt.island_chain) DEFAULT_DEVICE_CONFIG (in module pyna.topo.topology_eval) DEFAULT_DPI (in module pyna.toroidal.visual.tokamak_manifold) deform_max (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) deformation (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) deformation_metric (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) deformation_peak_valley() (in module pyna.toroidal.torus_deformation) DEFORMED (pyna.control.topology_state.SurfaceFate attribute) deformed_circular_section_rz() (in module pyna.toroidal.visual.RMP_spectrum) deformed_surface_map_residual() (in module pyna.toroidal.visual.RMP_spectrum) DeformedFixedPointProjection (class in pyna.toroidal.visual.RMP_spectrum) delta (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) delta_A_total() (in module pyna.control.FPT) delta_B_func (pyna.topo.perturbation.CyclePerturbationShift attribute) delta_DPm_along_cycle_3d() (in module pyna.control.FPT_3d) delta_g_from_delta_B() (in module pyna.control.FPT) delta_I_regularization (pyna.control.optimizer.ControlWeights attribute) delta_phi (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute), [1] delta_r (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute), [1] delta_r_coefficient (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) delta_theta (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute), [1] delta_theta_coefficient (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) delta_X_cyc (pyna.topo.fpt.CyclePerturbationShift attribute) delta_X_cyc0 (pyna.topo.fpt.CyclePerturbationShift attribute) delta_X_pol (pyna.topo.fpt.OrbitPerturbationShift attribute) dense_orbits (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) DenseFieldLineTrajectory (class in pyna.toroidal.flt.trajectory) densify_boundary_poincare_seeds() (in module pyna.toroidal.flt.adaptive_density) deprecated() (in module pyna.diff.cycle) (in module pyna.topo.manifold) description (pyna.progress.TqdmProgress attribute) dest_rank (pyna.progress.MPIProgress attribute) detect_crossing() (pyna.topo.poincare.PoincareSection method) (pyna.topo.poincare.PoincareToroidalSection method) (pyna.topo.protocols.SectionLike method) (pyna.topo.section.Section method) detect_residual_islands() (in module pyna.topo.island_extract) detuning (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) device_name (pyna.topo.topology_eval.TopologyEval attribute) DeviceConfig (class in pyna.topo.topology_eval) diagnostics (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.healed_flux_coords.XOSequence attribute) (pyna.toroidal.flt.adaptive_density.BoundarySeedDensificationResult attribute) (pyna.toroidal.flt.cycle_shift.AxisCycleShift attribute) (pyna.toroidal.flt.cycle_shift.CyclePointShift attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandSeedCandidates attribute) diagnostics() (pyna.topo.core.Cycle method) (pyna.topo.core.Island method) (pyna.topo.core.IslandChain method) (pyna.topo.core.LinearStabilityData method) (pyna.topo.core.Orbit method) (pyna.topo.core.PeriodicOrbit method) (pyna.topo.core.SectionPoint method) (pyna.topo.core.Trajectory method) (pyna.topo.core.Tube method) (pyna.topo.core.TubeChain method) (pyna.topo.invariant.InvariantTorus method) (pyna.topo.invariant_torus.InvariantTorus method) (pyna.topo.invariants.FixedPoint method) (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace method) (pyna.topo.toroidal_section_view.SectionCorrespondence method) (pyna.topo.toroidal_section_view.SectionView method) dict_safe_add() (in module pyna.diff.diff) diff_xi_exprs (pyna.flow.FlowSympy property) diff_xi_funcs (pyna.flow.FlowCallable property) diff_xi_lambdas() (pyna.flow.FlowCallable method) (pyna.flow.FlowSympy method) diffusion (pyna.dynamics.BrownianMotion attribute) diffusion_matrix() (pyna.dynamics.ItoSDE method) dim (pyna.dynamics.ItoSDE attribute) (pyna.fields.base.VectorField3D property) (pyna.fields.coords.CoordinateSystem property) (pyna.fields.coords.Coords3DCylindrical property) (pyna.fields.coords.Coords3DSpherical property) (pyna.fields.coords.Coords3DToroidal property) (pyna.fields.coords.Coords4DKerr property) (pyna.fields.coords.Coords4DMinkowski property) (pyna.fields.coords.Coords4DSchwarzschild property) (pyna.fields.coords.CoordsCartesian property) (pyna.system.VectorField property) (pyna.system.VectorField1D property) (pyna.system.VectorField2D property) (pyna.system.VectorField4D property) (pyna.topo.dynamics.DynamicalSystem property) (pyna.topo.dynamics.PhaseSpace attribute) (pyna.topo.resonance.ResonanceNumber property)

dim_phase (pyna.topo.protocols.SectionLike property) (pyna.topo.section.HyperplaneSection property) (pyna.topo.section.ParametricSection property) (pyna.topo.section.Section property) (pyna.topo.section.ToroidalSection property) dim_section (pyna.topo.section.Section property) direction (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) directional_derivative_of_scalar() (in module pyna.vector_calc) directional_derivative_of_vector() (in module pyna.vector_calc) DiscreteMap (class in pyna.topo.dynamics) distance (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) distance_cm (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection property) div() (pyna.fields.cylindrical.VectorFieldCylind method) divergence (pyna.fields.cylindrical.VectorFieldCylind attribute) divergence() (in module pyna.fields.diff_ops) (in module pyna.vector_calc) DIVERGENCE_FREE (pyna.fields.properties.FieldProperty attribute) divergence_free() (pyna.toroidal.coils.base.CoilFieldScaled method) (pyna.toroidal.coils.base.CoilFieldSuperposition method) (pyna.toroidal.coils.base.CoilFieldVacuum method) (pyna.toroidal.coils.coil.CoilFieldAnalyticCircular method) (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection method) (pyna.toroidal.coils.coil_system.CoilFieldBiotSavart method) (pyna.toroidal.coils.vector_potential.CoilFieldVectorPotential method) DivergenceDiagnostic (class in pyna.toroidal.visual.RMP_spectrum) divide_Array_Eq() (in module pyna.utils.symutil.basics) domain_dim (pyna.fields.base.Field property) (pyna.fields.base.ScalarField1D property) (pyna.fields.base.ScalarField2D property) (pyna.fields.base.ScalarField3D property) (pyna.fields.base.ScalarField4D property) (pyna.fields.base.TensorField3DRank2 property) (pyna.fields.base.VectorField1D property) (pyna.fields.base.VectorField2D property) (pyna.fields.base.VectorField3D property) (pyna.fields.base.VectorField4D property) (pyna.fields.tensor.TensorField4DRank2 property) dot() (in module pyna.utils.symutil.vector) (pyna.fields.cylindrical.VectorFieldCylind method) downsample() (pyna.fields.cylindrical.VectorFieldCylind method) DP (pyna.topo.fpt.OrbitPerturbationShift attribute) DPhi (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) DPm (pyna.control.topology_state.OPointState attribute) (pyna.control.topology_state.XPointState attribute) (pyna.topo.monodromy.CycleVariationalData attribute) (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace attribute), [1] (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) DPm_arr (pyna.topo.monodromy.CycleVariationalData attribute) DPm_at() (pyna.topo.monodromy.CycleVariationalData method) DPm_axisymmetric() (in module pyna.control.FPT) DPm_change() (in module pyna.control.FPT) DPm_eigenvalue (pyna.control.optimizer.ControlWeights attribute) DPm_eigenvalues (pyna.control.topology_state.OPointState attribute) (pyna.control.topology_state.XPointState attribute) DPm_eigenvector (pyna.control.optimizer.ControlWeights attribute) DPm_eigenvectors (pyna.control.topology_state.XPointState attribute) DPm_finite_difference() (in module pyna.topo.perturbation) DPm_shift_under_field_perturbation() (in module pyna.topo.perturbation) dR (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property) draw_axis_point() (in module pyna.plot.section_geometry) draw_branch_manifold_lines() (in module pyna.plot.section_geometry) draw_eig_direction() (in module pyna.diff.fixedpoint) draw_fixed_point_orbits() (in module pyna.plot.section_geometry) draw_Jac_direction() (in module pyna.diff.fixedpoint) draw_manifold_lines() (in module pyna.plot.section_geometry) draw_manifold_origins() (in module pyna.plot.section_geometry) draw_manifold_points() (in module pyna.plot.section_geometry) draw_orbit_points() (in module pyna.plot.section_geometry) draw_pest_grid() (in module pyna.plot.rmp) draw_poincare_background() (in module pyna.plot.section_geometry) draw_poincare_background_by_seed_value() (in module pyna.plot.section_geometry) draw_poincare_points() (in module pyna.plot.section_geometry) draw_reduced_stable_manifolds() (in module pyna.plot.rmp) draw_resonant_surfaces() (in module pyna.plot.rmp) draw_rmp_fixed_points() (in module pyna.plot.rmp) draw_rmp_island_width_bars() (in module pyna.plot.rmp) draw_rmp_overlays() (in module pyna.toroidal.visual.RMP_spectrum) draw_rmp_poincare_points() (in module pyna.plot.rmp) draw_rmp_resonance_section() (in module pyna.plot.rmp) draw_rmp_section_overlays() (in module pyna.plot.rmp) draw_smooth_pest_grid() (in module pyna.plot.mgrid) draw_wall_section() (in module pyna.plot.section_geometry) draw_xo_points() (in module pyna.plot.xo_points) drift() (pyna.dynamics.ItoSDE method) drift_vector (pyna.dynamics.BrownianMotion attribute) dt (pyna.flt.FieldLineTracer attribute) (pyna.flt_cuda.FieldLineTracerCUDA attribute) duplicate_tube_ids (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) DX_pol_arr (pyna.topo.monodromy.CycleVariationalData attribute) DX_pol_at() (pyna.topo.monodromy.CycleVariationalData method) DynamicalSystem (class in pyna.system) (class in pyna.topo.dynamics) DynamicalSystemFactory (class in pyna.topo.factories) DynamicsContext (class in pyna.context) dZ (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property)

E

E_and_B_at() (EBField.EBField method) E_at() (EBField.EBField method) (LoopBetweenCapacitor.LoopBetweenCapacitor method) E_from_circular_capacitor() (in module electromagnetics) EAST_CONFIG (in module pyna.topo.topology_eval) EBField module EBField (class in EBField) eigenvalue_after (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) eigenvalue_before (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) eigenvalue_evolution_from_sequence() (in module pyna.topo.regularity) eigenvalue_perturbation() (in module pyna.topo.perturbation) eigenvalues (pyna.topo.core.LinearStabilityData attribute) (pyna.topo.monodromy.CycleVariationalData property) (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) eigenvectors (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] eigvec_interpolator_along_Xcycle (in module pyna.topo.manifold) eigvec_interpolator_along_Xcycle() (in module pyna.diff.cycle) elapsed_s (pyna.topo.topology_eval.TopologyEval attribute) electromagnetics module ELLIPTIC (pyna.topo.core.Stability attribute) endpoint_state (pyna.toroidal.visual.RMP_spectrum.SurfaceMapResidual attribute) energy() (pyna.dynamics.HamiltonianSystem method)

epsilon_eff_proxy() (in module pyna.toroidal.control.island_optimizer) epsilon_h (pyna.flt_cuda.FieldLineTracerCUDA attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) eq_hash() (in module pyna.cache) EQUIL_CMAP (in module pyna.toroidal.visual.tokamak_manifold) Equilibrium (class in pyna.fields.toroidal) EquilibriumAxisym (class in pyna.toroidal.equilibrium.axisymmetric) EquilibriumLike (class in pyna.fields.toroidal) EquilibriumSolovev (class in pyna.toroidal.equilibrium.Solovev) EquilibriumTokamakCircularSynthetic (class in pyna.toroidal.equilibrium.axisymmetric) ergosphere_radius() (pyna.fields.coords.Coords4DKerr method) euler_maruyama() (pyna.dynamics.ItoSDE method) eval_fourier_family() (in module pyna.topo.healed_flux_coords) eval_RZ() (pyna.topo.island_healed_coords.InnerFourierSection method) (pyna.topo.island_healed_coords.IslandHealedCoordMap method) evaluate_topology() (in module pyna.topo.topology_eval) event_horizon_radius (pyna.fields.coords.Coords4DKerr property) evolve_delta_X_cycle_along_cycle() (in module pyna.toroidal.flt.numba_poincare) evolve_delta_X_cycle_along_cycle_field() (in module pyna.toroidal.flt.numba_poincare) evolve_delta_X_cycle_along_orbit() (in module pyna.toroidal.flt.numba_poincare) evolve_delta_X_cycle_along_orbit_field() (in module pyna.toroidal.flt.numba_poincare) evolve_DPm_along_cycle() (in module pyna.topo.monodromy) exact_relation_residual (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) expected (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit attribute) expected_log_growth() (pyna.dynamics.GeometricBrownianMotion method) extract_island_width() (in module pyna.topo.island_extract)

F

f() (pyna.topo.section.HyperplaneSection method) (pyna.topo.section.ParametricSection method) (pyna.topo.section.Section method) (pyna.topo.section.ToroidalSection method) f_func (pyna.topo.section.ParametricSection attribute) fd_eps (pyna.topo.variational.PoincareMapVariationalEquations attribute) fd_eps2 (pyna.topo.variational.PoincareMapVariationalEquations attribute) fd_eps3 (pyna.topo.variational.PoincareMapVariationalEquations attribute) Field (class in pyna.fields.base) field() (pyna.topo.dynamics.MagneticFieldLine method) field_all_coils() (pyna.toroidal.coils.accel.CircularCoilTemplate method) field_arrays_from_field() (in module pyna.toroidal.flt.numba_poincare) field_arrays_from_interpolators() (in module pyna.toroidal.flt.numba_poincare) field_cache (pyna.topo.dynamics.MCFPoincareMap property) field_func (pyna.flt.FieldLineTracer attribute) (pyna.topo.topology_analysis.TopologyReport attribute), [1] (pyna.topo.variational.PoincareMapVariationalEquations attribute) field_func() (pyna.toroidal.equilibrium.stellarator.StellaratorSimple method) field_line_curvature() (in module pyna.fields.diff_ops) field_line_endpoints() (in module pyna.toroidal.diagnostics.measure) field_line_length() (in module pyna.toroidal.diagnostics.measure) field_line_min_psi() (in module pyna.toroidal.diagnostics.measure) field_on_grid() (pyna.toroidal.coils.coil_system.CoilSet method) field_period (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint property) (pyna.toroidal.geometry.ToroidalComponentSurface property) field_period_cache_from_components() (in module pyna.toroidal.flt.cycle_shift) field_periods (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.fields.cylindrical.ScalarFieldCylind attribute) (pyna.fields.cylindrical.VectorFieldCylind attribute) fieldline_deformation_spectrum() (in module pyna.toroidal.torus_deformation) fieldline_trajectory_flow() (in module pyna.toroidal.flt.trajectory) fieldline_velocity_spectrum_on_circular_surface() (in module pyna.toroidal.visual.RMP_spectrum) FieldLineScaffold3D (class in pyna.topo.healed_flux_coords) FieldLineTracer (class in pyna.flt) FieldLineTracerCUDA (class in pyna.flt_cuda) FieldlineVelocitySpectrum (class in pyna.toroidal.visual.RMP_spectrum) FieldProperty (class in pyna.fields.properties) filter_poincare_traces_by_seed_count() (in module pyna.toroidal.flt.adaptive_density) final (pyna.topo.core.Orbit property) (pyna.topo.core.Trajectory property) find_all_cycles_near_resonance() (in module pyna.topo.toroidal_cycle) find_all_trig_period() (in module pyna.utils.symutil.characteristics) find_boundary_island_fixed_points_field() (in module pyna.toroidal.flt.island_chain) find_boundary_island_fixed_points_multi_section_field() (in module pyna.toroidal.flt.island_chain) find_cycle() (in module pyna.topo.toroidal_cycle) find_fixed_point_newton() (in module pyna.topo.fixed_points) find_fixed_points_batch() (in module pyna.toroidal.flt.numba_poincare) find_fixed_points_batch_field() (in module pyna.toroidal.flt.numba_poincare) find_fixed_points_batch_span() (in module pyna.toroidal.flt.numba_poincare) find_fixed_points_batch_span_field() (in module pyna.toroidal.flt.numba_poincare) find_island_chain_fixed_points() (in module pyna.topo.fixed_points) find_magnetic_axis() (in module pyna.topo.fixed_points) find_opoint() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) find_periodic_orbit() (in module pyna.topo.fixed_points) find_resonant_components_analytic() (in module pyna.toroidal.visual.RMP_spectrum) find_xpoint() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) finish() (matplotlib.pickpoints.Line2DExtender method) finite_difference_jacobian() (in module pyna.dynamics) first_order_residual (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) first_order_residual_fit (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) fit() (pyna.toroidal.control.island_optimizer.UnperturbedSurfaceReconstructor method) fit_residual (pyna.topo.flux_surface.FluxSurface attribute), [1] fit_ring_fourier() (in module pyna.topo.healed_flux_coords) fits (pyna.topo.healed_flux_coords.SectionScaffoldBundle attribute) fixed_axis (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) fixed_point (pyna.topo.toroidal_section_view.SectionViewPoint attribute) fixed_point() (pyna.context.DynamicsContext method) fixed_point_eigenspaces() (in module pyna.dynamics) fixed_point_residual() (pyna.dynamics.CallableMap method) fixed_points (pyna.topo.topology_analysis.IslandChain attribute), [1] (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult attribute) fixed_points() (pyna.topo.classical_maps.HenonMap method) (pyna.topo.toroidal_section_view.SectionView method) (pyna.toroidal.perturbation_spectrum.ResonantIslandChain method) (pyna.toroidal.visual.RMP_spectrum.ResonantComponent method) fixed_points_by_section_payload() (in module pyna.toroidal.flt.island_chain)

fixed_value (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) FixedPoint (class in pyna.topo.invariants) FixedPointInfo (class in pyna.topo.topology_analysis) FixedPointPhaseComparison (class in pyna.toroidal.visual.RMP_spectrum) fletcher32 (pyna.cache.HDF5Backend attribute) Flow (class in pyna.flow) flow (pyna.context.DynamicsContext attribute) (pyna.topo.dynamics.GeneralPoincareMap property) (pyna.topo.dynamics.PoincareMap property) flow() (pyna.topo.dynamics.ContinuousFlow method) FlowCallable (class in pyna.flow) FlowLike (class in pyna.topo.protocols) FlowSympy (class in pyna.flow) flush() (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory method) flush_every (pyna.progress.LogFileProgress attribute) (pyna.progress.MPIProgress attribute) flux_surface() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) flux_surface_deformation() (in module pyna.control.FPT) FluxSurface (class in pyna.topo.flux_surface) FluxSurfaceMap (class in pyna.topo.flux_surface) format_section_axis() (in module pyna.plot.section_geometry) fourier_m (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) fourier_n (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) fp_by_sec (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult attribute) fp_by_section_from_orbits() (in module pyna.topo.island_healed_coords) fp_pkl_path (pyna.topo.topology_eval.DeviceConfig attribute) fractions (pyna.toroidal.pest_coords.AxisCoreInsertion attribute) free_params (pyna.flow.FlowSympy property) (pyna.map.MapSympy property) (pyna.withparam.ImmutableDenseNDimArrayWithParam property) (pyna.withparam.WithParam property) free_symbols (pyna.flow.FlowSympy property) (pyna.map.MapSympy property) (pyna.withparam.ImmutableDenseNDimArrayWithParam property) (pyna.withparam.WithParam property) from_arrays() (pyna.toroidal.geometry.ToroidalComponentSurface class method) from_cache() (pyna.fields.cylindrical.VectorFieldCylind class method) (pyna.fields.toroidal.Equilibrium class method) from_callable() (pyna.fields.cylindrical.VectorFieldCylind class method) from_cartesian() (pyna.fields.coords.CoordinateSystem method) (pyna.fields.coords.Coords3DCylindrical method) (pyna.fields.coords.Coords3DSpherical method) (pyna.fields.coords.Coords3DToroidal method) (pyna.fields.coords.Coords4DKerr method) (pyna.fields.coords.Coords4DMinkowski method) (pyna.fields.coords.Coords4DSchwarzschild method) (pyna.fields.coords.CoordsCartesian method) from_coil_field() (pyna.toroidal.coils.vector_potential.CoilFieldVectorPotential class method) from_coil_set() (pyna.imas_compat.IMASCoilsNonAxisymmetric class method) from_components() (pyna.fields.cylindrical.VectorFieldCylind class method) from_cycles() (pyna.topo.builders.TubeChainBuilder class method) from_dict() (pyna.imas_compat.IMASCoilsNonAxisymmetric class method) (pyna.imas_compat.IMASEquilibriumIDS class method) (pyna.imas_compat.IMASMHDLinearIDS class method) (pyna.imas_compat.IMASPoincareMapping class method) from_field_cache() (pyna.fields.cylindrical.VectorFieldCylind class method) from_full_grid_with_cycle_constraint() (pyna.topo.island_healed_coords.InnerFourierSection class method) from_island_chain() (pyna.topo.toroidal_section_view.SectionView class method) from_json() (pyna.imas_compat.IMASCoilsNonAxisymmetric class method) (pyna.imas_compat.IMASEquilibriumIDS class method) (pyna.imas_compat.IMASMHDLinearIDS class method) (pyna.imas_compat.IMASPoincareMapping class method) from_metric() (pyna.fields.tensor.TensorField4DRank2 class method) from_npz() (pyna.fields.cylindrical.ScalarFieldCylind class method) (pyna.fields.cylindrical.VectorFieldCylind class method) from_periodic_orbits() (pyna.topo.builders.IslandChainBuilder class method) from_poincare() (pyna.topo.flux_surface.FluxSurface class method) from_poincare_data() (pyna.imas_compat.IMASPoincareMapping class method) from_poincare_surfaces() (pyna.topo.island_healed_coords.InnerFourierSection class method) from_poincare_trace() (pyna.topo.invariant.InvariantTorus class method) from_reference_curve() (pyna.topo.healed_flux_coords.BoundaryFamily3D class method) from_reference_map() (pyna.topo.healed_flux_coords.FieldLineScaffold3D class method) from_section_data() (pyna.topo.toroidal_section_view.SectionViewBuilder method) from_spec() (pyna.topo.factories.DynamicalSystemFactory class method) (pyna.topo.factories.GeometryFactory class method) from_stellarator() (pyna.imas_compat.IMASEquilibriumIDS class method) from_surfaces() (pyna.topo.flux_surface.FluxSurfaceMap class method) from_tubechain() (pyna.topo.toroidal_section_view.SectionViewBuilder class method) ftle (pyna.topo.topology_analysis.TopologyReport attribute), [1] ftle_field() (in module pyna.topo.chaos)

G

G (pyna.fields.coords.Coords4DKerr attribute) (pyna.fields.coords.Coords4DSchwarzschild attribute) g_i_g__i_from_STET_mesh() (in module pyna.toroidal.coords.PEST) gap_gi (pyna.control.optimizer.ControlWeights attribute) (pyna.control.topology_state.TopologyState attribute) gap_min (pyna.control.optimizer.ControlConstraints attribute) gap_monitor_names (pyna.toroidal.control.wall.WallGeometry attribute), [1] gap_monitor_R (pyna.toroidal.control.wall.WallGeometry attribute), [1] gap_monitor_Z (pyna.toroidal.control.wall.WallGeometry attribute), [1] gap_response_matrix_fpt() (in module pyna.toroidal.control.gap_response) gap_to_LCFS() (pyna.toroidal.control.wall.WallGeometry method) GC_4D (in module pyna.topo.dynamics) gc_motion() (in module motion) gc_motion_stateRdotR() (in module motion) gc_motion_stateRv() (in module motion) gcd (pyna.topo.resonance.ResonanceNumber property) GeneralPoincareMap (class in pyna.topo.dynamics) GeometricBrownianMotion (class in pyna.dynamics) GeometricMinorRadiusProvider (class in pyna.toroidal.minor_radius) geometry (pyna.topo.workflow.TopologyWorkflow attribute) geometry_object() (pyna.topo.workflow.TopologyWorkflow method) GeometryBuilder (class in pyna.topo.builders) GeometryFactory (class in pyna.topo.factories) get() (pyna.cache.CacheStore method) (pyna.topo.factories.Registry method)

get_backend() (in module pyna.cache) (in module pyna.flt) get_cache() (in module pyna.cache) get_currents() (pyna.toroidal.coils.coil_system.CoilSet method) get_J_total() (pyna.fields.toroidal.Equilibrium method) get_template() (in module pyna.toroidal.coils.accel) GlassWindow (class in pyna.toroidal.geometry) grad() (pyna.fields.cylindrical.ScalarFieldCylind method) grad_func (pyna.topo.section.ParametricSection attribute) grad_r_direction() (pyna.topo.island_healed_coords.InnerFourierSection method) (pyna.topo.island_healed_coords.IslandHealedCoordMap method) gradB_abs_at() (EBField.EBField method) gradient (pyna.fields.cylindrical.ScalarFieldCylind attribute) gradient() (in module pyna.fields.diff_ops) (pyna.dynamics.HamiltonianSystem method) green_function_spectrum() (in module pyna.toroidal.torus_deformation) Greene_residue (pyna.control.topology_state.XPointState attribute) (pyna.topo.monodromy.CycleVariationalData property) greene_residue (pyna.topo.toroidal_section_view.SectionViewPoint property) Greene_residue() (in module pyna.control.surface_fate) grow_manifold_from_Xcycle_eig_interp() (in module pyna.topo.manifold) grow_manifold_from_Xcycle_naive_carousel() (in module pyna.topo.manifold) grow_manifold_from_Xcycle_naive_init_segment() (in module pyna.topo.manifold) grow_stable_manifold_cached() (in module pyna.toroidal.control.gap_response)

H

half_width (pyna.topo.topology_analysis.IslandChain attribute), [1] (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) half_width_psi (pyna.topo.island_extract.IslandChain attribute), [1] (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) half_width_r (pyna.topo.island_extract.IslandChain attribute), [1] (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) hamiltonian() (pyna.dynamics.HamiltonianSystem method) (pyna.topo.dynamics.HamiltonianFlow method) HamiltonianFlow (class in pyna.topo.dynamics) HamiltonianSystem (class in pyna.dynamics) HARMONIC (pyna.fields.properties.FieldProperty attribute) harmonic_order (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute)

has_property() (pyna.fields.base.Field method) hatb_at() (EBField.EBField method) HDF5Backend (class in pyna.cache) heal_pest_mesh_at_island_chain() (in module pyna.toroidal.coords.island_healing) helical_phase_error (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) helical_phase_error_deg (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison property) helmholtz_decomposition() (in module pyna.fields.diff_ops) HenonMap (class in pyna.topo.classical_maps) hessian() (in module pyna.fields.diff_ops) (pyna.fields.cylindrical.ScalarFieldCylind method) hessian_regularity() (in module pyna.topo.regularity) high_order_diff_of_fieldline_ODE_RZPhi() (in module pyna.diff.fieldline) HYPERBOLIC (pyna.topo.core.Stability attribute) HyperplaneSection (class in pyna.topo.section)

I

I0 (pyna.toroidal.coils.coil_system.StellaratorControlCoils attribute) I_capacitor (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) I_coil (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) I_max (pyna.control.optimizer.ControlConstraints attribute) I_min (pyna.control.optimizer.ControlConstraints attribute) I_TF_coils (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) if_package_installed() (in module pyna.sysutil) IMASCoilsNonAxisymmetric (class in pyna.imas_compat) IMASEquilibriumIDS (class in pyna.imas_compat) IMASMHDLinearIDS (class in pyna.imas_compat) IMASPoincareMapping (class in pyna.imas_compat) ImmutableDenseNDimArrayWithParam (class in pyna.withparam) include_shear (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) index (pyna.topo.healed_flux_coords.XOArcPoint attribute) InnerFourierSection (class in pyna.topo.island_healed_coords) insert_axis_core_surfaces() (in module pyna.toroidal.pest_coords) INTACT (pyna.control.topology_state.SurfaceFate attribute) interaction (pyna.dynamics.NBodySystem attribute) intercept (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit attribute) interpolate_at() (pyna.fields.cylindrical.ScalarFieldCylind method) (pyna.fields.cylindrical.VectorFieldCylind method) (pyna.fields.cylindrical.VectorFieldCylindAxisym method) (pyna.topo.core.Trajectory method) (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) intersect() (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) intrinsic_dim (pyna.topo.core.Cycle property) (pyna.topo.core.Island property) (pyna.topo.core.IslandChain property) (pyna.topo.core.PeriodicOrbit property) (pyna.topo.core.Tube property) (pyna.topo.core.TubeChain property) (pyna.topo.invariant.InvariantTorus property) (pyna.topo.invariants.FixedPoint property) inv_PolyMap2d() (in module pyna.polymap) InvariantTorus (class in pyna.topo.invariant) (class in pyna.topo.invariant_torus) InvariantTorusPerturbationShift (class in pyna.topo.fpt) inward_normal_at() (pyna.toroidal.control.wall.WallGeometry method) iota (pyna.control.topology_state.OPointState attribute) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) iota_core (pyna.control.optimizer.ControlWeights attribute) iota_prime (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) iota_prime_from_q_prime() (in module pyna.toroidal.torus_deformation) iota_profile (pyna.topo.topology_eval.TopologyEval attribute) iota_response_matrix() (in module pyna.toroidal.control.qprofile_response) iota_to_q() (in module pyna.toroidal.torus_deformation) iota_variation_pf() (in module pyna.toroidal.torus_deformation) ip (pyna.imas_compat.IMASEquilibriumIDS attribute)

IRROTATIONAL (pyna.fields.properties.FieldProperty attribute) is_axisymmetric (pyna.control.topology_state.TopologyState attribute) (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.ScalarFieldCylindAxisym property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.tensor.Tensor2FieldCylind property) (pyna.fields.tensor.Tensor2FieldCylindAxisym property) is_closed (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit property) is_complete() (pyna.topo.toroidal_section_view.SectionCorrespondence method) is_elliptic (pyna.control.topology_state.OPointState property) is_hyperbolic (pyna.control.topology_state.XPointState property) is_manifold_payload() (in module pyna.plot.section_geometry) is_outside() (pyna.flt.WallModel method) is_resonant (pyna.topo.invariant.InvariantTorus property) is_section (pyna.fields.cylindrical.VectorFieldCylind property) is_skeleton_complete (pyna.topo.core.Tube property) is_stable (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) is_time_reversible (pyna.topo.dynamics.ContinuousFlow property) (pyna.topo.dynamics.HamiltonianFlow property) is_transverse() (pyna.topo.section.Section method) Island (class in pyna.topo.core) ISLAND (pyna.control.topology_state.SurfaceFate attribute) island() (pyna.context.DynamicsContext method) island_bars_on_section() (in module pyna.toroidal.visual.magnetic_spectrum) island_chain() (pyna.context.DynamicsContext method) (pyna.topo.workflow.TopologyWorkflow method) island_chain_fixed_points() (in module pyna.toroidal.perturbation_spectrum) island_chain_section_points() (in module pyna.plot.island_chain) island_chains (pyna.topo.topology_analysis.RegularZone attribute), [1] ISLAND_CMAPS (in module pyna.toroidal.visual.equilibrium) island_fixed_points() (in module pyna.toroidal.visual.RMP_spectrum) island_id (pyna.topo.toroidal_section_view.SectionViewPoint attribute) island_index (pyna.topo.identity.IslandID attribute) island_period (pyna.topo.topology_eval.DeviceConfig attribute) island_section_points() (in module pyna.plot.island) island_suppression_current() (in module pyna.toroidal.control.island_control) island_to_point_indices (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) IslandChain (class in pyna.topo.core) (class in pyna.topo.island_extract) (class in pyna.topo.topology_analysis) IslandChainBuilder (class in pyna.topo.builders) IslandHealedCoordMap (class in pyna.topo.island_healed_coords) IslandID (class in pyna.topo.identity) IslandOptimizer (class in pyna.toroidal.control.island_optimizer) islands (pyna.topo.core.IslandChain attribute) iterate() (pyna.topo.classical_maps.HenonMap method) (pyna.topo.classical_maps.StandardMap method) (pyna.topo.dynamics.DiscreteMap method) ItoSDE (class in pyna.dynamics)

J

J_bootstrap (pyna.fields.toroidal.Equilibrium attribute) J_diamagnetic (pyna.fields.toroidal.Equilibrium attribute) J_ecrh (pyna.fields.toroidal.Equilibrium attribute) J_fast (pyna.fields.toroidal.Equilibrium attribute) J_grid() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) J_icrh (pyna.fields.toroidal.Equilibrium attribute) J_iota_samples (pyna.control.topology_state.TopologyState attribute) J_nbi (pyna.fields.toroidal.Equilibrium attribute) J_ohmic (pyna.fields.toroidal.Equilibrium attribute) J_total (pyna.fields.toroidal.Equilibrium attribute) J_vector_field() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) Jabs (pyna.io.mgrid.MGridCurrent property) Jac (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) jac_col_2_mat() (in module pyna.diff.diff) Jac_evolution_along_cycle() (in module pyna.diff.cycle) Jac_evolution_along_Xcycle() (in module pyna.diff.fixedpoint) Jac_rz2stheta() (in module pyna.toroidal.coords.coordinate) Jac_theta_evolution() (in module pyna.diff.cycle) Jac_theta_val_evolution_along_Xcycle() (in module pyna.diff.cycle) jacobian (pyna.topo.core.LinearStabilityData attribute) (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute)

jacobian() (pyna.dynamics.CallableMap method) (pyna.fields.cylindrical.VectorFieldCylind method) (pyna.topo.protocols.JacobianProvider method) Jacobian_4_field_line_Poincare() (in module pyna.diff.diff) Jacobian_4_MapCallable() (in module pyna.diff.diff) Jacobian_4_MapSympy() (in module pyna.diff.diff) jacobian_at() (pyna.topo.classical_maps.HenonMap method) (pyna.topo.classical_maps.StandardMap method) jacobian_B (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) jacobian_field() (in module pyna.fields.diff_ops) jacobian_matrix() (pyna.topo.variational.PoincareMapVariationalEquations method) jacobian_of_poincare_map() (in module pyna.topo.toroidal_cycle) JacobianProvider (class in pyna.topo.protocols) JPhi (pyna.io.mgrid.MGridCurrent attribute) Jphi (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) JR (pyna.io.mgrid.MGridCurrent attribute) Jrho (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) Jtheta (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) Jtheta_over_Jphi (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) JZ (pyna.io.mgrid.MGridCurrent attribute)

K

K (pyna.topo.classical_maps.HenonMap attribute) (pyna.topo.classical_maps.StandardMap attribute) (pyna.topo.dynamics.StandardMap attribute) k (pyna.toroidal.visual.RMP_spectrum.CoupledFixedPointSweep attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantResidualOrderScan attribute) (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) kappa (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) kappa_at() (EBField.EBField method) keys() (pyna.topo.factories.Registry method) kind (pyna.topo.healed_flux_coords.XOArcPoint attribute) (pyna.topo.identity.IslandID attribute) (pyna.topo.identity.TubeID attribute) (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) (pyna.topo.toroidal_section_view.SectionView attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute)

L

label (pyna.fields.cylindrical.VectorFieldCylind attribute) (pyna.fields.toroidal.Equilibrium attribute) (pyna.topo.builders.IslandChainBuilder attribute) (pyna.topo.builders.TubeChainBuilder attribute) (pyna.topo.core.Island attribute) (pyna.topo.core.IslandChain attribute) (pyna.topo.core.Tube attribute) (pyna.topo.core.TubeChain attribute) (pyna.topo.dynamics.PhaseSpace attribute) (pyna.topo.identity.ResonanceID attribute) (pyna.topo.invariant.InvariantTorus property) (pyna.topo.poincare.PoincareSection property) (pyna.topo.poincare.PoincareToroidalSection property) (pyna.topo.protocols.SectionLike property) (pyna.topo.section.HyperplaneSection property) (pyna.topo.section.ParametricSection property) (pyna.topo.section.Section property) (pyna.topo.section.ToroidalSection property) (pyna.topo.topology_analysis.RegularZone attribute), [1] (pyna.toroidal.diagnostics.mgrid.PestCurrentComponents attribute) (pyna.toroidal.visual.magnetic_spectrum.PoincareRationalTrace attribute) (pyna.toroidal.visual.magnetic_spectrum.RationalSurfaceMarker property) lambda_B (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) lambda_perturbation() (in module pyna.control.FPT_3d) laplacian() (in module pyna.fields.diff_ops) (pyna.fields.cylindrical.ScalarFieldCylind method) latex() (pyna.topo.resonance.ResonanceNumber method)

lcfs_effective_minor_radius() (in module pyna.topo.fast_metrics) lcfs_R (pyna.topo.topology_eval.TopologyEval attribute) lcfs_Z (pyna.topo.topology_eval.TopologyEval attribute) leave (pyna.progress.TqdmProgress attribute) left (pyna.toroidal.perturbation_spectrum.ChirikovOverlap attribute) lfs_theta_offset_at_phi0() (in module pyna.toroidal.pest_coords) line (matplotlib.pickpoints.Line2DExtender attribute) Line2DExtender (class in matplotlib.pickpoints) line_colored_by_s() (in module pyna.draw.manifold) LinearStabilityData (class in pyna.topo.core) list_keys() (pyna.cache.HDF5Backend method) load() (pyna.cache.HDF5Backend method) (pyna.topo.toroidal_trajectory.ToroidalTrajectory class method) load_keys() (pyna.cache.HDF5Backend method) load_npz() (pyna.toroidal.flt.postcompute.ToroidalWallTraceData class method) load_poincare_npz() (in module pyna.io.poincare_io) load_smooth_pest_coordinates() (in module pyna.toroidal.diagnostics.mgrid) load_vmec_mgrid() (in module pyna.io.mgrid) local_t (pyna.topo.healed_flux_coords.XOArcPoint attribute) local_weight (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) LogFileProgress (class in pyna.progress) loglog_order_fit() (in module pyna.toroidal.visual.RMP_spectrum) LogLogOrderFit (class in pyna.toroidal.visual.RMP_spectrum) LoopBetweenCapacitor module LoopBetweenCapacitor (class in LoopBetweenCapacitor) lower_map_power_residual (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) lyapunov_spectrum() (pyna.dynamics.CallableMap method)

M

M (pyna.fields.coords.Coords4DKerr attribute) (pyna.fields.coords.Coords4DSchwarzschild attribute) m (pyna.topo.identity.ResonanceID attribute) (pyna.topo.resonance.ResonanceNumber property) (pyna.topo.topology_analysis.FixedPointInfo attribute) (pyna.topo.topology_analysis.IslandChain attribute) (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.torus_deformation.RadialPerturbationSplit attribute) (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute) (pyna.toroidal.visual.magnetic_spectrum.RationalSurfaceMarker attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) m_h (pyna.flt_cuda.FieldLineTracerCUDA attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) m_list (pyna.imas_compat.IMASMHDLinearIDS attribute) m_target (pyna.toroidal.coils.coil_system.StellaratorControlCoils attribute) m_values (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix attribute) magnetic_axis (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev property) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple property) magnetic_axis_position() (in module pyna.toroidal.optimize.objectives) magnetic_component_order (pyna.fields.cylindrical.VectorFieldCylind attribute) MagneticFieldLine (class in pyna.topo.dynamics) magnitude() (in module pyna.vector_calc) (pyna.fields.cylindrical.VectorFieldCylind method) make_east_like_wall() (in module pyna.toroidal.control.wall) make_key() (in module pyna.cache) make_poincare_map() (in module pyna.topo.workflow) (pyna.topo.dynamics.DynamicalSystem method) make_reff_profile_grid() (in module pyna.topo.fast_metrics) make_source_hash() (in module pyna.cache) make_tokamak_overview_figure() (in module pyna.toroidal.visual.tokamak_manifold) make_xcyc_anchors() (in module pyna.topo.island_healed_coords) manifold_legend_handles() (in module pyna.toroidal.visual.tokamak_manifold) manifold_list() (in module pyna.plot.section_geometry) manifold_lpol_max() (in module pyna.plot.section_geometry) manifold_shift() (in module pyna.control.FPT) manifolds_for_section() (in module pyna.plot.section_geometry) ManifoldWarning Map (class in pyna.map) map_advance_per_component (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) map_count (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) map_order_value() (in module pyna.plot.section_geometry) map_power (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) map_span (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) MapCallable (class in pyna.map) MapCallableComposite (class in pyna.map) MapLike (class in pyna.topo.protocols) MapSympy (class in pyna.map) MapSympyAdd (class in pyna.map) MapSympyComposite (class in pyna.map) MapSympyMul (class in pyna.map) MapUniCallable (class in pyna.map) masses (pyna.dynamics.NBodySystem attribute) matplotlib module matplotlib.pickpoints module max_abs (pyna.toroidal.visual.RMP_spectrum.DivergenceDiagnostic attribute) max_exact_relation_residual (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan property) max_radial_response (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse property) max_residual (pyna.toroidal.visual.RMP_spectrum.SurfaceMapResidual property) max_size_gb (pyna.cache.CacheStore attribute) max_turns (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) MCF_2D (in module pyna.topo.dynamics) MCFPoincareMap (class in pyna.topo.dynamics) mean() (pyna.dynamics.BrownianMotion method) (pyna.dynamics.GeometricBrownianMotion method) mean_radial_displacement() (in module pyna.toroidal.torus_deformation) mean_radial_displacement_dc() (in module pyna.toroidal.torus_deformation) mean_radial_displacement_pf() (in module pyna.toroidal.torus_deformation) mean_radial_displacement_second_order() (in module pyna.toroidal.torus_deformation) memoize() (in module pyna.cache) memory (in module pyna.toroidal.control.qprofile_response) message (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) meta (pyna.fields.toroidal.Equilibrium attribute) metadata (pyna.topo.builders.IslandChainBuilder attribute) (pyna.topo.builders.TubeChainBuilder attribute) (pyna.topo.core.Cycle attribute) (pyna.topo.core.Island attribute) (pyna.topo.core.IslandChain attribute) (pyna.topo.core.LinearStabilityData attribute) (pyna.topo.core.Orbit attribute) (pyna.topo.core.PeriodicOrbit attribute) (pyna.topo.core.SectionPoint attribute) (pyna.topo.core.Trajectory attribute) (pyna.topo.invariants.FixedPoint attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory attribute) (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) metric_tensor() (pyna.fields.coords.CoordinateSystem method) (pyna.fields.coords.Coords3DCylindrical method) (pyna.fields.coords.Coords3DSpherical method) (pyna.fields.coords.Coords3DToroidal method) (pyna.fields.coords.Coords4DKerr method) (pyna.fields.coords.Coords4DMinkowski method) (pyna.fields.coords.Coords4DSchwarzschild method) (pyna.fields.coords.CoordsCartesian method) mgrid_toroidal_index() (in module pyna.io.mgrid) MGridCurrent (class in pyna.io.mgrid) MGridField (class in pyna.io.mgrid) min_clearance (pyna.flt.WallModel attribute) min_period() (in module pyna.utils.symutil.characteristics) minor_radius_label() (in module pyna.toroidal.minor_radius) missing_tube_ids (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) mode (pyna.io.mgrid.MGridField attribute) mode_axis (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) mode_coefficient() (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum method) mode_index() (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum method) mode_values (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) modes (pyna.toroidal.perturbation_spectrum.ChirikovOverlap property) module EBField electromagnetics LoopBetweenCapacitor matplotlib matplotlib.pickpoints motion pyna pyna.cache pyna.connection_length pyna.context pyna.control pyna.control.FPT pyna.control.FPT_3d pyna.control.optimizer pyna.control.response_matrix pyna.control.surface_fate pyna.control.topology_state pyna.diff pyna.diff.cycle pyna.diff.diff pyna.diff.fieldline pyna.diff.fixedpoint pyna.draw pyna.draw.manifold pyna.draw.resonant pyna.dynamics pyna.field_data pyna.fields pyna.fields.base pyna.fields.coords pyna.fields.cylindrical pyna.fields.diff_ops pyna.fields.properties pyna.fields.tensor pyna.fields.toroidal pyna.flow pyna.flt pyna.flt_cuda pyna.imas_compat pyna.io pyna.io.mgrid pyna.io.poincare_io pyna.mag pyna.map pyna.plot pyna.plot.boundary_island pyna.plot.island pyna.plot.island_chain pyna.plot.mgrid pyna.plot.poincare_beta pyna.plot.rmp pyna.plot.section_geometry pyna.plot.tube pyna.plot.xo_points pyna.polymap pyna.polynomial pyna.progress pyna.system pyna.sysutil pyna.topo pyna.topo.adapters pyna.topo.bridges pyna.topo.builders pyna.topo.chaos pyna.topo.classical_maps pyna.topo.core pyna.topo.cycle pyna.topo.dynamics pyna.topo.factories pyna.topo.fast_metrics pyna.topo.field pyna.topo.fixed_points pyna.topo.flux_surface pyna.topo.fpt pyna.topo.healed_flux_coords pyna.topo.identity pyna.topo.invariant pyna.topo.invariant_torus pyna.topo.invariants pyna.topo.island_extract pyna.topo.island_healed_coords pyna.topo.manifold pyna.topo.manifold_improve pyna.topo.monodromy pyna.topo.perturbation pyna.topo.poincare pyna.topo.protocols pyna.topo.regularity pyna.topo.resonance pyna.topo.section pyna.topo.section_view pyna.topo.topology_analysis pyna.topo.topology_eval pyna.topo.toroidal pyna.topo.toroidal_cycle pyna.topo.toroidal_island pyna.topo.toroidal_section_view pyna.topo.toroidal_trajectory pyna.topo.trajectory3d pyna.topo.variational pyna.topo.workflow pyna.toroidal pyna.toroidal.boozer_coords pyna.toroidal.coils pyna.toroidal.coils.accel pyna.toroidal.coils.base pyna.toroidal.coils.coil pyna.toroidal.coils.coil_system pyna.toroidal.coils.cuda_kernels pyna.toroidal.coils.field pyna.toroidal.coils.vector_potential pyna.toroidal.control pyna.toroidal.control.gap_response pyna.toroidal.control.island_control pyna.toroidal.control.island_optimizer pyna.toroidal.control.qprofile_response pyna.toroidal.control.wall pyna.toroidal.coords pyna.toroidal.coords.Boozer pyna.toroidal.coords.coordinate pyna.toroidal.coords.EqualArc pyna.toroidal.coords.Hamada pyna.toroidal.coords.island_healing pyna.toroidal.coords.PEST pyna.toroidal.diagnostics pyna.toroidal.diagnostics.measure pyna.toroidal.diagnostics.mgrid pyna.toroidal.equilibrium pyna.toroidal.equilibrium.axisymmetric pyna.toroidal.equilibrium.GradShafranov pyna.toroidal.equilibrium.Solovev pyna.toroidal.equilibrium.stellarator pyna.toroidal.flt pyna.toroidal.flt.adaptive_density pyna.toroidal.flt.cycle_shift pyna.toroidal.flt.island_chain pyna.toroidal.flt.numba_poincare pyna.toroidal.flt.postcompute pyna.toroidal.flt.trajectory pyna.toroidal.geometry pyna.toroidal.minor_radius pyna.toroidal.optimize pyna.toroidal.optimize.objectives pyna.toroidal.perturbation pyna.toroidal.perturbation.equilibrium pyna.toroidal.perturbation.response pyna.toroidal.perturbation_spectrum pyna.toroidal.pest_coords pyna.toroidal.plasma_response pyna.toroidal.surface_coordinates pyna.toroidal.torus_deformation pyna.toroidal.visual pyna.toroidal.visual.equilibrium pyna.toroidal.visual.magnetic_spectrum pyna.toroidal.visual.RMP_spectrum pyna.toroidal.visual.tokamak_manifold pyna.utils pyna.utils.symutil pyna.utils.symutil.basics pyna.utils.symutil.characteristics pyna.utils.symutil.op pyna.utils.symutil.vector pyna.vector_calc pyna.withparam pyna.workflow pyna.workflow.prefect pyna.workflow.tracing

monitor_modes (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) monodromy (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] monodromy_at_fixed_point() (pyna.topo.classical_maps.HenonMap method) monodromy_change_under_perturbation() (in module pyna.topo.monodromy) monodromy_matrix() (in module pyna.topo.monodromy) MonodromyData (in module pyna.topo.invariants) motion module MPIProgress (class in pyna.progress) mu (pyna.dynamics.GeometricBrownianMotion attribute) MU0 (in module pyna.fields.toroidal) (in module pyna.io.mgrid) MU0_OVER_4PI (in module pyna.toroidal.coils.accel) (in module pyna.toroidal.coils.coil_system) multi_mode_control() (in module pyna.toroidal.control.island_control)

N

n (pyna.topo.identity.ResonanceID attribute) (pyna.topo.topology_analysis.FixedPointInfo attribute) (pyna.topo.topology_analysis.IslandChain attribute) (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.torus_deformation.RadialPerturbationSplit attribute) (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute) (pyna.toroidal.visual.magnetic_spectrum.RationalSurfaceMarker attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) n_bodies (pyna.dynamics.NBodySystem property) n_coils (pyna.control.optimizer.TopologyController attribute) n_fourier (pyna.topo.island_healed_coords.InnerFourierSection attribute), [1] n_Fourier (pyna.toroidal.control.island_optimizer.UnperturbedSurfaceReconstructor attribute) n_h (pyna.flt_cuda.FieldLineTracerCUDA attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) n_islands (pyna.topo.core.IslandChain property) n_islands_per_section (pyna.topo.resonance.ResonanceNumber property) n_list (pyna.imas_compat.IMASMHDLinearIDS attribute) n_nonresonant_modes (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse property) n_phi (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) (pyna.toroidal.geometry.ToroidalComponentSurface property) (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) n_points (pyna.topo.toroidal_section_view.SectionView property) n_pol (pyna.topo.resonance.ResonanceNumber property) n_poloidal (pyna.toroidal.geometry.ToroidalComponentSurface property) n_radial (pyna.toroidal.control.island_optimizer.UnperturbedSurfaceReconstructor attribute) n_resonant_modes (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse property) N_rho (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) n_samples (pyna.topo.core.Orbit property) (pyna.topo.core.Trajectory property) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit property) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory property) n_section (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.island_chain.PoincareSectionTraces property) n_seed (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.island_chain.PoincareSectionTraces property) (pyna.toroidal.flt.postcompute.ToroidalWallTraceData property) n_sym (pyna.topo.topology_eval.DeviceConfig attribute) n_target (pyna.toroidal.coils.coil_system.StellaratorControlCoils attribute) n_theta (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) n_total_modes (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse property) n_tubes (pyna.topo.core.TubeChain property) n_turns (pyna.topo.dynamics.MCFPoincareMap property) N_turns (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) n_values (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix attribute) n_workers (pyna.flt.FieldLineTracer attribute) N_z (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) name (pyna.fields.base.Field attribute) (pyna.topo.topology_eval.DeviceConfig attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) nardon_island_half_width() (in module pyna.toroidal.perturbation_spectrum) nardon_radial_perturbation() (in module pyna.toroidal.perturbation_spectrum)

nardon_resonant_amplitude() (in module pyna.toroidal.perturbation_spectrum) NBodySystem (class in pyna.dynamics) ncols (pyna.progress.TqdmProgress attribute) nearest_deformed_distance (pyna.toroidal.visual.RMP_spectrum.CoupledFixedPointSweep attribute) nearest_section_index() (pyna.topo.healed_flux_coords.BoundaryFamily3D method) (pyna.topo.healed_flux_coords.FieldLineScaffold3D method) neoclassical_epsilon_eff() (in module pyna.toroidal.optimize.objectives) Newton_discrete() (in module pyna.diff.fixedpoint) newton_kind (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) newton_R (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) newton_Z (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) next_xi_exprs (pyna.map.MapSympy property) (pyna.map.MapSympyComposite property) next_xi_funcs (pyna.map.MapCallable property) (pyna.map.MapCallableComposite property) (pyna.map.MapUniCallable property) next_xi_lambdas() (pyna.map.MapCallable method) (pyna.map.MapSympy method) (pyna.map.MapUniCallable method) nfp (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) non_resonant_deformation_spectrum() (in module pyna.toroidal.torus_deformation) NonAutonomousDynamicalSystem (class in pyna.system) NONE (pyna.fields.properties.FieldProperty attribute) nonresonant_dBr (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) nonresonant_deformation() (pyna.toroidal.torus_deformation.RadialPerturbationSplit method) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum method) nonresonant_m (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) nonresonant_mask (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) nonresonant_n (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) nonresonant_response() (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum method) NonResonantContributionRow (class in pyna.toroidal.visual.RMP_spectrum) NonResonantFieldlineResponse (class in pyna.toroidal.visual.RMP_spectrum) NonResonantResidualOrderScan (class in pyna.toroidal.visual.RMP_spectrum) norm (pyna.fields.cylindrical.VectorFieldCylind attribute) norm() (in module pyna.utils.symutil.vector) normal() (pyna.topo.section.HyperplaneSection method) (pyna.topo.section.ParametricSection method) (pyna.topo.section.Section method) (pyna.topo.section.ToroidalSection method) normal_vec (pyna.topo.section.HyperplaneSection attribute) normalize_connection_length_view() (in module pyna.toroidal.flt.postcompute) Np (pyna.topo.dynamics.MCFPoincareMap property) (pyna.topo.identity.ResonanceID attribute) nPhi (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) nR (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.toroidal.Equilibrium property) NullProgress (class in pyna.progress) nZ (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.toroidal.Equilibrium property)

O

O_cycle (pyna.topo.core.Tube attribute) O_orbit (pyna.topo.core.Island attribute) o_orbits (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain property) O_order (pyna.topo.healed_flux_coords.XOSequence attribute) O_point (pyna.topo.core.Island property) O_points (pyna.topo.core.IslandChain property) (pyna.topo.healed_flux_coords.XOSequence attribute) (pyna.topo.island_extract.IslandChain attribute), [1] o_points (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult property) objective_value (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) offset (pyna.topo.section.HyperplaneSection attribute) opoint_position (pyna.control.optimizer.ControlWeights attribute) opoint_shift (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) opoint_theta (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) opoint_vs_b_phase_fit (pyna.toroidal.visual.RMP_spectrum.RMPPhaseOrderScan attribute) opoints (pyna.control.topology_state.TopologyState attribute) OPointState (class in pyna.control.topology_state) OptimisationResult (class in pyna.toroidal.control.island_optimizer) optimise() (pyna.toroidal.control.island_optimizer.IslandOptimizer method) optional_prefect() (in module pyna.workflow.prefect) Orbit (class in pyna.topo.core) (in module pyna.topo) orbit (pyna.topo.perturbation.CyclePerturbationShift attribute) orbit() (pyna.topo.builders.GeometryBuilder method) (pyna.topo.dynamics.DiscreteMap method) (pyna.topo.workflow.TopologyWorkflow method)

orbit_from_map() (in module pyna.topo.workflow) orbit_geometry() (pyna.dynamics.CallableMap method) orbit_id (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) orbit_identity() (in module pyna.plot.section_geometry) orbit_list() (in module pyna.plot.section_geometry) orbit_point_arrays() (in module pyna.plot.section_geometry) orbit_shift_under_perturbation() (in module pyna.topo.monodromy) orbit_size (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) orbit_trace (pyna.topo.core.PeriodicOrbit attribute) orbit_type (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] OrbitPerturbationShift (class in pyna.topo.fpt) orbits (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) orbits_for_section() (in module pyna.plot.section_geometry) overlay_island_bars_on_section() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_poincare_rational_trace() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_q_profile() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_radial_mode_island_bars() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_radial_mode_poincare() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_radial_resonance_curve() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_rational_island_bars() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_rational_surface_markers() (in module pyna.toroidal.visual.magnetic_spectrum) overlay_surface_resonance_line() (in module pyna.toroidal.visual.magnetic_spectrum)

P

p_electron (pyna.fields.toroidal.Equilibrium attribute) p_fast (pyna.fields.toroidal.Equilibrium attribute) p_grid() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) p_ion (pyna.fields.toroidal.Equilibrium attribute) p_profile_1d (pyna.fields.toroidal.Equilibrium attribute) p_rad (pyna.fields.toroidal.Equilibrium attribute) p_total (pyna.fields.toroidal.Equilibrium attribute) pack_state() (pyna.dynamics.NBodySystem method) PARABOLIC (pyna.topo.core.Stability attribute) param (pyna.topo.healed_flux_coords.BoundarySection attribute) param_dict (pyna.map.MapSympyComposite property) (pyna.withparam.WithParam property) param_dict_cover_free_symbols() (pyna.withparam.WithParam method) param_levels (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) ParametricSection (class in pyna.topo.section) parent_chain (pyna.topo.core.Island attribute) parent_island (pyna.topo.core.IslandChain attribute) pareto_front (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) pareto_scan() (pyna.toroidal.control.island_optimizer.IslandOptimizer method) partial_derivatives_num_until_order() (in module pyna.diff.diff) partial_XRZ_partial_x0RZ_until_ordk_along_field_line() (in module pyna.diff.fieldline) particle_motion() (in module motion) particle_motion_relativistic() (in module motion) particle_motion_withALforce() (in module motion) particle_motion_withoutALforce() (in module motion) path (pyna.progress.LogFileProgress attribute) per_task (pyna.progress.TqdmProgress attribute) period (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.topo.builders.IslandChainBuilder attribute) (pyna.topo.core.IslandChain attribute) (pyna.topo.core.PeriodicOrbit attribute) (pyna.topo.flux_surface.XPointOrbit attribute), [1] (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates property) period_guess (pyna.topo.core.Orbit property) period_m (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace attribute), [1] period_n (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) period_value (pyna.topo.core.Cycle attribute) periodic_orbit() (pyna.dynamics.CallableMap method) (pyna.topo.builders.GeometryBuilder method) (pyna.topo.workflow.TopologyWorkflow method) periodic_phi_slice() (in module pyna.toroidal.diagnostics.mgrid) periodic_residual (pyna.topo.fpt.CyclePerturbationShift property) periodic_shift_theta() (in module pyna.toroidal.pest_coords) periodic_splines() (pyna.topo.healed_flux_coords.XOSequence method) PeriodicOrbit (class in pyna.topo.core) (in module pyna.topo.cycle) PestCurrentComponents (class in pyna.toroidal.diagnostics.mgrid) PestCurrentSection (class in pyna.toroidal.diagnostics.mgrid) phase (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum property) (pyna.toroidal.perturbation_spectrum.ResonantIslandChain property) (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum property) (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix property) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow attribute) phase_control_current() (in module pyna.toroidal.control.island_control) phase_deg (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow property) (pyna.toroidal.visual.RMP_spectrum.RMPnRMPModeRow property) phase_dim (pyna.topo.section.HyperplaneSection attribute) (pyna.topo.section.ParametricSection attribute) phase_error (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) phase_error_deg (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow property) phase_space (pyna.dynamics.CallableFlow property) (pyna.dynamics.CallableMap property) (pyna.dynamics.HamiltonianSystem property) (pyna.dynamics.ItoSDE attribute) (pyna.dynamics.NBodySystem property) (pyna.topo.dynamics.DynamicalSystem property) (pyna.topo.dynamics.GeneralPoincareMap property) (pyna.topo.dynamics.MagneticFieldLine property) (pyna.topo.dynamics.MCFPoincareMap property) (pyna.topo.dynamics.PoincareMap property) (pyna.topo.dynamics.StandardMap property) (pyna.topo.protocols.FlowLike property) (pyna.topo.protocols.MapLike property) phase_span_deg (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan property) PhaseSpace (class in pyna.topo.dynamics) Phi (pyna.fields.cylindrical.ScalarFieldCylind property) phi (pyna.fields.cylindrical.VectorFieldCylind attribute) Phi (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.tensor.Tensor2FieldCylind property) phi (pyna.fields.toroidal.Equilibrium property) (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.topo.flux_surface.FluxSurface attribute), [1] (pyna.topo.fpt.OrbitPerturbationShift attribute) (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) (pyna.topo.healed_flux_coords.SectionFit attribute) (pyna.topo.healed_flux_coords.TransportedSection attribute) (pyna.topo.identity.IslandID attribute) (pyna.topo.island_healed_coords.XOCycAnchor attribute), [1] (pyna.topo.section.ToroidalSection attribute) (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) (pyna.topo.toroidal_section_view.SectionView attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit property) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) phi0 (pyna.topo.poincare.PoincareToroidalSection attribute) (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) phi_arr (pyna.topo.flux_surface.XPointOrbit attribute), [1] (pyna.topo.monodromy.CycleVariationalData attribute) phi_B (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) Phi_grid (pyna.fields.cylindrical.CylindricalFieldArrays attribute) phi_ref (pyna.control.topology_state.TopologyState attribute) (pyna.topo.flux_surface.FluxSurfaceMap attribute), [1] (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) (pyna.topo.island_healed_coords.InnerFourierSection attribute), [1] phi_samples (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) phi_section (pyna.topo.dynamics.MCFPoincareMap property) phi_sections (pyna.imas_compat.IMASPoincareMapping attribute) (pyna.topo.topology_analysis.TopologyReport attribute), [1] (pyna.topo.topology_eval.DeviceConfig attribute) (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) phi_start (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) phi_vals (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) plot() (pyna.topo.topology_analysis.TopologyReport method) plot3d() (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) plot_boundary_island_sections() (in module pyna.plot.boundary_island) plot_chirikov_overlaps() (in module pyna.toroidal.visual.magnetic_spectrum) plot_equilibrium_cross_section() (in module pyna.toroidal.visual.tokamak_manifold) plot_island() (in module pyna.plot.island) plot_island_chain() (in module pyna.plot.island_chain) plot_island_chain_by_tube() (in module pyna.plot.tube) plot_island_chains_on_section() (in module pyna.toroidal.visual.magnetic_spectrum) plot_island_phase_scan() (in module pyna.toroidal.visual.magnetic_spectrum) plot_island_width_bars() (in module pyna.toroidal.visual.RMP_spectrum) plot_manifold_1d() (in module pyna.toroidal.visual.tokamak_manifold) plot_mgrid_current_cylindrical_components() (in module pyna.plot.mgrid) plot_mn_heatmap() (in module pyna.toroidal.visual.RMP_spectrum) plot_mn_heatmap_radial() (in module pyna.toroidal.visual.RMP_spectrum) plot_nested_flux_surfaces() (in module pyna.toroidal.visual.equilibrium) plot_pareto() (pyna.toroidal.control.island_optimizer.OptimisationResult method) plot_perturbation_order_summary() (in module pyna.toroidal.visual.RMP_spectrum) plot_pest_current_components() (in module pyna.plot.mgrid) plot_poincare_beta_grid() (in module pyna.plot.poincare_beta) plot_poincare_from_npz() (in module pyna.io.poincare_io) plot_poincare_orbits() (in module pyna.toroidal.visual.tokamak_manifold) plot_radial_mode_heatmap() (in module pyna.toroidal.visual.magnetic_spectrum) plot_radial_mode_pcolormesh() (in module pyna.toroidal.visual.magnetic_spectrum) plot_rational_surface_map() (in module pyna.toroidal.visual.magnetic_spectrum) plot_resonance_section() (in module pyna.plot.tube) plot_resonance_structure_section() (in module pyna.plot.tube) plot_resonant_radial_profiles() (in module pyna.toroidal.visual.magnetic_spectrum) plot_rmp_resonance_sections() (in module pyna.plot.rmp) plot_rmp_section() (in module pyna.toroidal.visual.RMP_spectrum) plot_rmp_sections() (in module pyna.toroidal.visual.RMP_spectrum) plot_spectrum_bar3d() (in module pyna.toroidal.visual.magnetic_spectrum) plot_spectrum_heatmap() (in module pyna.toroidal.visual.magnetic_spectrum) plot_spectrum_pcolormesh() (in module pyna.toroidal.visual.magnetic_spectrum) plot_surface_fourier_ripple_summary() (in module pyna.plot.mgrid) plot_tilde_b_mn_spectrum() (in module pyna.draw.resonant) plot_tube_chain_poincare() (in module pyna.plot.tube) plot_tube_chain_section() (in module pyna.plot.tube) plot_tube_section() (in module pyna.plot.tube) plot_xcycle_all_manifolds() (in module pyna.toroidal.visual.tokamak_manifold) plot_xcycle_marker() (in module pyna.toroidal.visual.tokamak_manifold) poincare_from_fieldlines() (in module pyna.topo.poincare) poincare_map (pyna.topo.invariant.InvariantTorus property) poincare_map() (in module pyna.topo.fixed_points) (pyna.topo.workflow.TopologyWorkflow method) poincare_map_2d() (pyna.fields.base.VectorField3D method) poincare_map_henon() (in module pyna.topo.classical_maps) poincare_map_n() (in module pyna.topo.toroidal_cycle) poincare_map_n_trajectory() (in module pyna.topo.toroidal_cycle) Poincare_plot() (in module pyna.diff.fieldline) poincare_section_deformation() (in module pyna.toroidal.torus_deformation) poincare_seed_hit_counts() (in module pyna.toroidal.flt.adaptive_density) poincare_seed_values_for_points() (in module pyna.plot.section_geometry) Poincare_trace() (in module pyna.diff.fieldline) poincare_trace() (pyna.topo.dynamics.MCFPoincareMap method) poincare_wall_fraction_density() (in module pyna.toroidal.flt.adaptive_density) PoincareAccumulator (class in pyna.topo.poincare) PoincareMap (class in pyna.topo.dynamics) (in module pyna.topo.poincare) PoincareMapFactory (class in pyna.topo.factories) PoincareMapVariationalEquations (class in pyna.topo.variational) PoincareRationalTrace (class in pyna.toroidal.visual.magnetic_spectrum) PoincareSection (class in pyna.topo.poincare) PoincareSectionTraces (class in pyna.toroidal.flt.island_chain) PoincareToroidalSection (class in pyna.topo.poincare) point_index (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) point_type (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) points (pyna.topo.core.PeriodicOrbit attribute) (pyna.topo.toroidal_section_view.SectionView attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) points_per_connected_component (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain property) poloidal_abs (pyna.fields.cylindrical.VectorFieldCylind property) poloidal_coefficients_for_radial_modes() (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum method) poloidal_spectrum (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) poloidal_velocity (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) poloidal_velocity_coefficient (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) poloidal_velocity_coefficients (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) Poly2d (class in pyna.polynomial) PolyMap2d (class in pyna.polymap) POSITIVE_DEFINITE (pyna.fields.properties.FieldProperty attribute) precompile_tracer() (in module pyna.toroidal.flt.numba_poincare) predict_response() (pyna.control.optimizer.TopologyController method) predicted_kind (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) predicted_R (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) predicted_state (pyna.toroidal.visual.RMP_spectrum.SurfaceMapResidual attribute) predicted_theta (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) predicted_theta_deg (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison property) predicted_Z (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) prefect_runtime_available() (in module pyna.workflow.prefect) progress_delta_X_along_orbit() (in module pyna.toroidal.flt.numba_poincare) progress_delta_X_along_orbit_field() (in module pyna.toroidal.flt.numba_poincare) progress_DX_pol_along_orbit() (in module pyna.toroidal.flt.numba_poincare) progress_DX_pol_along_orbit_field() (in module pyna.toroidal.flt.numba_poincare) project() (pyna.topo.island_healed_coords.InnerFourierSection method) (pyna.topo.protocols.SectionLike method) (pyna.topo.section.HyperplaneSection method) (pyna.topo.section.ParametricSection method) (pyna.topo.section.Section method) (pyna.topo.section.ToroidalSection method) project_fixed_points_to_deformed_surface() (in module pyna.toroidal.visual.RMP_spectrum) project_func (pyna.topo.section.ParametricSection attribute) project_points() (pyna.topo.flux_surface.FluxSurfaceMap method) project_to_map() (pyna.topo.flux_surface.XPointOrbit method) projected_theta (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) propagate_island_chain() (in module pyna.topo.fixed_points) propagator (pyna.topo.perturbation.CyclePerturbationShift attribute) properties (pyna.fields.base.Field property) proximity_tol (pyna.topo.builders.IslandChainBuilder attribute) psi (pyna.fields.toroidal.Equilibrium attribute) (pyna.imas_compat.IMASEquilibriumIDS attribute) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) psi() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) psi0_at() (pyna.toroidal.control.island_optimizer.UnperturbedSurfaceReconstructor method) psi_2d (pyna.imas_compat.IMASEquilibriumIDS attribute) psi_ax() (pyna.toroidal.equilibrium.stellarator.StellaratorSimple method) psi_lcfs() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) psi_norm() (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym method) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic method) psi_res (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) psi_resonant (pyna.imas_compat.IMASMHDLinearIDS attribute) PUBLICATION_RC (in module pyna.toroidal.visual.tokamak_manifold) put() (pyna.cache.CacheStore method) px0R_px0Z_terms_collected_as_a_sparse_array() (in module pyna.diff.diff) px0R_px0Z_terms_collected_as_dict_factorNo_factorPow() (in module pyna.diff.diff) px0R_px0Z_terms_collected_as_dict_k_factorNoInk_factorPow() (in module pyna.diff.diff) pyna module pyna.cache module pyna.connection_length module pyna.context module pyna.control module pyna.control.FPT module pyna.control.FPT_3d module pyna.control.optimizer module pyna.control.response_matrix module pyna.control.surface_fate module pyna.control.topology_state module pyna.diff module pyna.diff.cycle module pyna.diff.diff module pyna.diff.fieldline module pyna.diff.fixedpoint module pyna.draw module

pyna.draw.manifold module pyna.draw.resonant module pyna.dynamics module pyna.field_data module pyna.fields module pyna.fields.base module pyna.fields.coords module pyna.fields.cylindrical module pyna.fields.diff_ops module pyna.fields.properties module pyna.fields.tensor module pyna.fields.toroidal module pyna.flow module pyna.flt module pyna.flt_cuda module pyna.imas_compat module pyna.io module pyna.io.mgrid module pyna.io.poincare_io module pyna.mag module pyna.map module pyna.plot module pyna.plot.boundary_island module pyna.plot.island module pyna.plot.island_chain module pyna.plot.mgrid module pyna.plot.poincare_beta module pyna.plot.rmp module pyna.plot.section_geometry module pyna.plot.tube module pyna.plot.xo_points module pyna.polymap module pyna.polynomial module pyna.progress module pyna.system module pyna.sysutil module pyna.topo module pyna.topo.adapters module pyna.topo.bridges module pyna.topo.builders module pyna.topo.chaos module pyna.topo.classical_maps module pyna.topo.core module pyna.topo.cycle module pyna.topo.dynamics module pyna.topo.factories module pyna.topo.fast_metrics module pyna.topo.field module pyna.topo.fixed_points module pyna.topo.flux_surface module pyna.topo.fpt module pyna.topo.healed_flux_coords module pyna.topo.identity module pyna.topo.invariant module pyna.topo.invariant_torus module pyna.topo.invariants module pyna.topo.island_extract module pyna.topo.island_healed_coords module pyna.topo.manifold module pyna.topo.manifold_improve module pyna.topo.monodromy module pyna.topo.perturbation module pyna.topo.poincare module pyna.topo.protocols module pyna.topo.regularity module pyna.topo.resonance module pyna.topo.section module pyna.topo.section_view module pyna.topo.topology_analysis module pyna.topo.topology_eval module pyna.topo.toroidal module pyna.topo.toroidal_cycle module pyna.topo.toroidal_island module pyna.topo.toroidal_section_view module pyna.topo.toroidal_trajectory module pyna.topo.trajectory3d module pyna.topo.variational module pyna.topo.workflow module pyna.toroidal module pyna.toroidal.boozer_coords module pyna.toroidal.coils module pyna.toroidal.coils.accel module pyna.toroidal.coils.base module pyna.toroidal.coils.coil module pyna.toroidal.coils.coil_system module pyna.toroidal.coils.cuda_kernels module pyna.toroidal.coils.field module pyna.toroidal.coils.vector_potential module pyna.toroidal.control module pyna.toroidal.control.gap_response module pyna.toroidal.control.island_control module pyna.toroidal.control.island_optimizer module pyna.toroidal.control.qprofile_response module pyna.toroidal.control.wall module pyna.toroidal.coords module pyna.toroidal.coords.Boozer module pyna.toroidal.coords.coordinate module pyna.toroidal.coords.EqualArc module pyna.toroidal.coords.Hamada module pyna.toroidal.coords.island_healing module pyna.toroidal.coords.PEST module pyna.toroidal.diagnostics module pyna.toroidal.diagnostics.measure module pyna.toroidal.diagnostics.mgrid module pyna.toroidal.equilibrium module pyna.toroidal.equilibrium.axisymmetric module pyna.toroidal.equilibrium.GradShafranov module pyna.toroidal.equilibrium.Solovev module pyna.toroidal.equilibrium.stellarator module pyna.toroidal.flt module pyna.toroidal.flt.adaptive_density module pyna.toroidal.flt.cycle_shift module pyna.toroidal.flt.island_chain module pyna.toroidal.flt.numba_poincare module pyna.toroidal.flt.postcompute module pyna.toroidal.flt.trajectory module pyna.toroidal.geometry module pyna.toroidal.minor_radius module pyna.toroidal.optimize module pyna.toroidal.optimize.objectives module pyna.toroidal.perturbation module pyna.toroidal.perturbation.equilibrium module pyna.toroidal.perturbation.response module pyna.toroidal.perturbation_spectrum module pyna.toroidal.pest_coords module pyna.toroidal.plasma_response module pyna.toroidal.surface_coordinates module pyna.toroidal.torus_deformation module pyna.toroidal.visual module pyna.toroidal.visual.equilibrium module pyna.toroidal.visual.magnetic_spectrum module pyna.toroidal.visual.RMP_spectrum module pyna.toroidal.visual.tokamak_manifold module pyna.utils module pyna.utils.symutil module pyna.utils.symutil.basics module pyna.utils.symutil.characteristics module pyna.utils.symutil.op module pyna.utils.symutil.vector module pyna.vector_calc module pyna.withparam module pyna.workflow module pyna.workflow.prefect module pyna.workflow.tracing module pyna_cache() (in module pyna.cache)

Q

q (pyna.control.topology_state.OPointState attribute) (pyna.imas_compat.IMASEquilibriumIDS attribute) (pyna.topo.identity.ResonanceID property) (pyna.topo.resonance.ResonanceNumber property) (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.visual.magnetic_spectrum.RationalSurfaceMarker attribute) q() (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym method) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic method) q0 (pyna.flt_cuda.FieldLineTracerCUDA attribute) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic attribute) (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) q1 (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) q_by_fieldline_tracing() (in module pyna.toroidal.control.qprofile_response) q_by_fieldline_winding() (in module pyna.toroidal.control.qprofile_response)

Q_capacitor (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) q_from_flux_surface_integral() (in module pyna.toroidal.control.qprofile_response) q_of_psi() (pyna.toroidal.equilibrium.stellarator.StellaratorSimple method) q_prime (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) q_prime_sign (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) q_profile (pyna.control.optimizer.ControlWeights attribute) (pyna.fields.toroidal.Equilibrium attribute) (pyna.topo.topology_analysis.RegularZone attribute), [1] q_profile() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) q_profile_S (pyna.topo.topology_analysis.RegularZone attribute), [1] q_res (pyna.topo.topology_analysis.IslandChain attribute), [1] (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) q_response_matrix_analytic() (in module pyna.toroidal.control.qprofile_response) q_response_matrix_fd() (in module pyna.toroidal.control.qprofile_response) q_samples (pyna.control.topology_state.TopologyState attribute) q_to_iota() (in module pyna.toroidal.torus_deformation)

R

R (pyna.control.topology_state.OPointState attribute) (pyna.control.topology_state.XPointState attribute) (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.tensor.Tensor2FieldCylind property) (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.topo.fpt.OrbitPerturbationShift attribute) (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) (pyna.topo.healed_flux_coords.TransportedSection attribute) (pyna.topo.healed_flux_coords.XOArcPoint attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory attribute) (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit property) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) R0 (pyna.fields.coords.Coords3DToroidal attribute) (pyna.flt_cuda.FieldLineTracerCUDA attribute) r0 (pyna.imas_compat.IMASEquilibriumIDS attribute) R0 (pyna.toroidal.coils.coil_system.StellaratorControlCoils attribute) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic attribute) (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev attribute) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) r0 (pyna.toroidal.equilibrium.stellarator.StellaratorSimple attribute) r_2d (pyna.imas_compat.IMASEquilibriumIDS attribute) R_arr (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.toroidal.Equilibrium property) (pyna.fields.toroidal.EquilibriumLike property) (pyna.topo.flux_surface.XPointOrbit attribute) r_arr (pyna.topo.flux_surface.XPointOrbit attribute), [1] r_aug_ext (pyna.topo.healed_flux_coords.SectionFit attribute) R_ax (pyna.topo.flux_surface.FluxSurface attribute), [1] (pyna.topo.flux_surface.FluxSurfaceMap attribute) (pyna.topo.healed_flux_coords.SectionFit attribute) (pyna.topo.island_healed_coords.InnerFourierSection attribute) (pyna.topo.topology_eval.TopologyEval attribute) R_ax_guess (pyna.topo.topology_eval.DeviceConfig attribute) r_boundary (pyna.imas_compat.IMASEquilibriumIDS attribute) R_closed (pyna.topo.healed_flux_coords.XOSequence attribute) r_coil (pyna.toroidal.coils.coil_system.StellaratorControlCoils attribute) R_cos (pyna.topo.flux_surface.FluxSurface attribute) r_crossings (pyna.imas_compat.IMASPoincareMapping attribute) r_eff() (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) R_flat (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) R_grid (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.topo.topology_analysis.TopologyReport attribute) R_inner (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) r_inner_fit (pyna.topo.island_healed_coords.IslandHealedCoordMap attribute) r_island (pyna.topo.island_healed_coords.IslandHealedCoordMap attribute) (pyna.topo.island_healed_coords.XOCycAnchor attribute), [1] r_levels (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) r_max (pyna.topo.flux_surface.FluxSurfaceMap attribute), [1] (pyna.topo.healed_flux_coords.SectionFit attribute) R_mesh (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym property) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic property) r_minor (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) r_nodes (pyna.topo.flux_surface.FluxSurfaceMap attribute), [1] (pyna.topo.island_healed_coords.InnerFourierSection attribute), [1] r_norm (pyna.topo.flux_surface.FluxSurface attribute), [1] R_o (pyna.topo.island_healed_coords.XOCycAnchor attribute) R_O (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) R_outer (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) R_path (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) R_ref (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) R_search_max (pyna.topo.topology_eval.DeviceConfig attribute) R_search_min (pyna.topo.topology_eval.DeviceConfig attribute) R_sin (pyna.topo.flux_surface.FluxSurface attribute) R_surf (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) (pyna.toroidal.pest_coords.AxisCoreInsertion attribute) r_transform() (in module pyna.utils.symutil.vector) R_wall (pyna.flt.WallModel attribute) (pyna.toroidal.control.wall.WallGeometry attribute), [1] R_x (pyna.topo.island_healed_coords.XOCycAnchor attribute) R_X (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) radial_error (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) radial_error_cm (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison property) radial_index (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix attribute) radial_label (pyna.toroidal.perturbation_spectrum.ResonantIslandChain attribute) (pyna.toroidal.visual.magnetic_spectrum.PoincareRationalTrace attribute) (pyna.toroidal.visual.magnetic_spectrum.RationalSurfaceMarker attribute) (pyna.toroidal.visual.magnetic_spectrum.SpectrumSurfaceMatrix attribute) radial_labels (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.pest_coords.AxisCoreInsertion attribute) (pyna.toroidal.visual.magnetic_spectrum.RadialModeSpectrum attribute) RADIAL_MODE_OVERLAYS (in module pyna.toroidal.visual.magnetic_spectrum) radial_mode_spectrum() (in module pyna.toroidal.visual.magnetic_spectrum) radial_perturbation_component() (in module pyna.toroidal.perturbation_spectrum) radial_perturbation_Fourier_spectrum() (in module pyna.toroidal.perturbation_spectrum) radial_response_weight (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) radial_rmp_field_template() (in module pyna.toroidal.visual.RMP_spectrum) radial_spectrum (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) radial_velocity (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) radial_velocity_coefficient (pyna.toroidal.visual.RMP_spectrum.NonResonantContributionRow attribute) RadialModeSpectrum (class in pyna.toroidal.visual.magnetic_spectrum) RadialPerturbationFourierSpectrum (class in pyna.toroidal.perturbation_spectrum) RadialPerturbationSplit (class in pyna.toroidal.torus_deformation) radius_capacitor (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) radius_coil (LoopBetweenCapacitor.LoopBetweenCapacitor attribute) range_rank (pyna.fields.base.Field property) (pyna.fields.base.ScalarField property) (pyna.fields.base.TensorField3DRank2 property) (pyna.fields.base.VectorField property) (pyna.fields.tensor.TensorField4DRank2 property) rank_phase_from_axis() (in module pyna.toroidal.pest_coords)

ratio (pyna.toroidal.visual.magnetic_spectrum.PoincareRationalTrace attribute) rational_surface_markers() (in module pyna.toroidal.visual.magnetic_spectrum) RATIONAL_SURFACE_OVERLAYS (in module pyna.toroidal.visual.magnetic_spectrum) RationalSurfaceMarker (class in pyna.toroidal.visual.magnetic_spectrum) raw_center (pyna.topo.toroidal_section_view.SectionViewPoint attribute) raw_distance (pyna.toroidal.visual.RMP_spectrum.CoupledFixedPointSweep attribute) Rc (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property) read_mgrid_variables() (in module pyna.io.mgrid) real_field_phi() (pyna.toroidal.torus_deformation.TorusDeformationSpectrum method) real_field_r() (pyna.toroidal.torus_deformation.TorusDeformationSpectrum method) real_field_theta() (pyna.toroidal.torus_deformation.TorusDeformationSpectrum method) real_fields() (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse method) recenter_surface() (in module pyna.topo.healed_flux_coords) reconstructed_tube_ids (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) record_step() (pyna.topo.poincare.PoincareAccumulator method) record_trajectory() (pyna.topo.poincare.PoincareAccumulator method) recover_pressure_simplest() (in module pyna.toroidal.equilibrium.GradShafranov) reduced() (pyna.topo.resonance.ResonanceNumber method) reduced_winding (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) ref_R (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) ref_source (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) ref_Z (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) reference() (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit method) reference_component (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceScan attribute) reference_index (pyna.topo.healed_flux_coords.SectionScaffoldBundle attribute) reference_n_phi (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceScan attribute) reference_n_theta (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceScan attribute) refine_fixed_point() (in module pyna.topo.fixed_points) refine_fixed_points_from_pkl() (in module pyna.topo.fixed_points) refine_fixed_points_monodromy_span_field() (in module pyna.toroidal.flt.island_chain) register() (pyna.topo.factories.DynamicalSystemFactory class method) (pyna.topo.factories.Registry method) register_hdf5_backend() (in module pyna.cache) Registry (class in pyna.topo.factories) registry() (pyna.topo.factories.DynamicalSystemFactory class method) regular_zones (pyna.topo.topology_analysis.TopologyReport attribute), [1] regularise_eps (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) RegularZone (class in pyna.topo.topology_analysis) relative_b_error (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) relative_max (pyna.toroidal.visual.RMP_spectrum.DivergenceDiagnostic attribute) relative_rms (pyna.toroidal.visual.RMP_spectrum.DivergenceDiagnostic attribute) relative_width_error (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceRow attribute) remove() (pyna.cache.CacheStore method) repel_points (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) representative_state (pyna.topo.core.PeriodicOrbit attribute) require_prefect() (in module pyna.workflow.prefect) resample_closed_curve_fourier() (in module pyna.topo.healed_flux_coords) reseed_boundary_field_lines() (in module pyna.flt) residual (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantResidualOrderScan attribute) (pyna.toroidal.visual.RMP_spectrum.SurfaceMapResidual attribute) residual_fit (pyna.toroidal.visual.RMP_spectrum.NonResonantResidualOrderScan attribute) resonance (pyna.topo.identity.IslandID attribute) (pyna.topo.identity.TubeID attribute) resonance_id (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) (pyna.topo.toroidal_section_view.SectionView attribute) (pyna.topo.toroidal_section_view.SectionViewBuilder attribute) resonance_tol (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) ResonanceID (class in pyna.topo.identity) ResonanceNumber (class in pyna.topo.resonance) resonant_dBr (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) resonant_m (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) resonant_mask (pyna.toroidal.torus_deformation.RadialPerturbationSplit attribute) (pyna.toroidal.torus_deformation.TorusDeformationSpectrum attribute), [1] resonant_n (pyna.toroidal.torus_deformation.RadialPerturbationSplit property) resonant_psi() (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) (pyna.toroidal.equilibrium.stellarator.StellaratorSimple method) ResonantComponent (class in pyna.toroidal.visual.RMP_spectrum) ResonantIslandChain (class in pyna.toroidal.perturbation_spectrum) return_map_orbit (pyna.topo.core.Cycle attribute) rho_grid (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) rho_join (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) rho_max (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) rho_vals (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) ricci_scalar() (in module pyna.fields.diff_ops) ricci_tensor() (in module pyna.fields.diff_ops) riemann_tensor() (in module pyna.fields.diff_ops) right (pyna.toroidal.perturbation_spectrum.ChirikovOverlap attribute) rmp_closure_map_span() (in module pyna.toroidal.visual.RMP_spectrum) rmp_fixed_point_seeds() (in module pyna.toroidal.visual.RMP_spectrum) rmp_nrmp_mode_rows() (in module pyna.toroidal.visual.RMP_spectrum) rmp_section_layout() (in module pyna.toroidal.visual.RMP_spectrum) RMP_SECTION_OVERLAYS (in module pyna.plot.rmp) RMPAmplitudeOrderScan (class in pyna.toroidal.visual.RMP_spectrum) RMPnRMPModeRow (class in pyna.toroidal.visual.RMP_spectrum) RMPPhaseOrderScan (class in pyna.toroidal.visual.RMP_spectrum) RMPResolutionConvergenceRow (class in pyna.toroidal.visual.RMP_spectrum) RMPResolutionConvergenceScan (class in pyna.toroidal.visual.RMP_spectrum) rms (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.toroidal.visual.RMP_spectrum.DivergenceDiagnostic attribute) root (pyna.cache.CacheStore attribute) Rord_max (pyna.polymap.PolyMap2d property) rotation_vector (pyna.topo.invariant.InvariantTorus property) (pyna.topo.invariant_torus.InvariantTorus attribute) rotational_transform (pyna.topo.invariant.InvariantTorus property) rotational_transform_from_trajectory() (in module pyna.topo.poincare) rows (pyna.toroidal.visual.RMP_spectrum.RMPResolutionConvergenceScan attribute) RZ() (pyna.topo.flux_surface.FluxSurface method) RZ2STET() (in module pyna.toroidal.coords.coordinate) RZ_partial_derivative_of_map_4_Flow_Phi_as_t() (in module pyna.diff.fieldline) RZlimit (pyna.flt.FieldLineTracer attribute) (pyna.flt_cuda.FieldLineTracerCUDA attribute) RZmesh_isoSTET() (in module pyna.toroidal.coords.PEST) rzphi0 (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace attribute), [1] rzphi_to_xyz() (in module pyna.toroidal.coords.coordinate)

S

s (pyna.topo.healed_flux_coords.XOArcPoint attribute) S (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym attribute) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym property) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic property) s_center (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) s_closed (pyna.topo.healed_flux_coords.XOSequence attribute) s_inner (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) s_outer (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) s_path (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) S_range (pyna.topo.topology_analysis.RegularZone attribute), [1] S_res (pyna.topo.topology_analysis.IslandChain attribute), [1] s_samples (pyna.control.topology_state.TopologyState attribute) safety_factor (pyna.topo.invariant.InvariantTorus property) sample_cylindrical_vector_grid_on_surfaces() (in module pyna.toroidal.perturbation_spectrum) sample_paths() (pyna.dynamics.ItoSDE method) sample_plane_bilinear() (in module pyna.io.mgrid) sample_stellarator_cylindrical_field() (in module pyna.toroidal.visual.RMP_spectrum) sample_surface() (pyna.topo.healed_flux_coords.FieldLineScaffold3D method) sampled_arrays() (pyna.topo.healed_flux_coords.FieldLineScaffold3D method) sanitized_axis_core_fractions() (in module pyna.toroidal.pest_coords) save() (pyna.cache.HDF5Backend method) (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) save_figure() (in module pyna.plot.section_geometry) save_npz() (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain method) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit method) (pyna.toroidal.flt.postcompute.ToroidalWallTraceData method) save_poincare_npz() (in module pyna.io.poincare_io) save_views_npz() (pyna.toroidal.flt.postcompute.ToroidalWallTraceData method) scaffold_3d (pyna.topo.healed_flux_coords.SectionScaffoldBundle attribute) scaffold_valid (pyna.topo.healed_flux_coords.SectionFit attribute) ScalarField (class in pyna.fields.base) ScalarField1D (class in pyna.fields.base) ScalarField2D (class in pyna.fields.base) ScalarField3D (class in pyna.fields.base) ScalarField4D (class in pyna.fields.base) ScalarFieldCylind (class in pyna.fields.cylindrical) ScalarFieldCylindAxisym (class in pyna.fields.cylindrical) scale (pyna.toroidal.coils.base.CoilFieldScaled property) (pyna.toroidal.visual.RMP_spectrum.DivergenceDiagnostic attribute) scale_currents() (pyna.toroidal.coils.coil_system.CoilSet method) scan_coupled_fixed_point_sweep() (in module pyna.toroidal.visual.RMP_spectrum) scan_fixed_point_seeds() (in module pyna.topo.fixed_points) scan_nonresonant_residual_order() (in module pyna.toroidal.visual.RMP_spectrum) scan_rmp_amplitude_order() (in module pyna.toroidal.visual.RMP_spectrum) scan_rmp_phase_order() (in module pyna.toroidal.visual.RMP_spectrum) scan_rmp_resolution_convergence() (in module pyna.toroidal.visual.RMP_spectrum) scan_surface_fates() (in module pyna.control.surface_fate) schwarzschild_radius (pyna.fields.coords.Coords4DSchwarzschild property) ScipyStableManifold (class in pyna.topo.manifold_improve) ScipyUnstableManifold (class in pyna.topo.manifold_improve) second_order_orbit_variation() (in module pyna.topo.monodromy) Section (class in pyna.topo.section) (in module pyna.topo.poincare) section (pyna.context.DynamicsContext attribute) (pyna.topo.dynamics.GeneralPoincareMap property) (pyna.topo.dynamics.PoincareMap property) section() (pyna.toroidal.geometry.ToroidalComponentSurface method) section_at() (pyna.topo.healed_flux_coords.BoundaryFamily3D method) (pyna.topo.healed_flux_coords.FieldLineScaffold3D method) section_bridge (pyna.topo.workflow.TopologyWorkflow attribute) section_cut() (in module pyna.topo.workflow) (pyna.topo.core.Cycle method) (pyna.topo.core.Island method) (pyna.topo.core.IslandChain method) (pyna.topo.core.PeriodicOrbit method) (pyna.topo.core.Trajectory method) (pyna.topo.core.Tube method) (pyna.topo.core.TubeChain method) (pyna.topo.invariant.InvariantTorus method) (pyna.topo.invariant_torus.InvariantTorus method) (pyna.topo.invariants.FixedPoint method) (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace method) (pyna.topo.workflow.TopologyWorkflow method) section_data_limits() (in module pyna.plot.section_geometry) section_deg (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) section_dim (pyna.context.DynamicsContext property) section_label (pyna.topo.core.IslandChain property) (pyna.topo.core.PeriodicOrbit property) (pyna.topo.core.SectionPoint attribute) (pyna.topo.invariants.FixedPoint attribute) SECTION_ORBIT_COLORS (in module pyna.plot.section_geometry) section_phi (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) section_point() (pyna.dynamics.CallableMap method) (pyna.topo.builders.GeometryBuilder method) section_points (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) section_points() (pyna.topo.core.Cycle method) (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces method) (pyna.toroidal.flt.island_chain.PoincareSectionTraces method) section_r() (pyna.toroidal.torus_deformation.TorusDeformationSpectrum method) section_resampled_curve() (pyna.topo.healed_flux_coords.BoundaryFamily3D method) section_splines() (pyna.topo.healed_flux_coords.BoundaryFamily3D method) section_theta() (pyna.toroidal.torus_deformation.TorusDeformationSpectrum method) section_value (pyna.topo.core.IslandChain property) (pyna.topo.core.PeriodicOrbit property) (pyna.topo.core.SectionPoint attribute) (pyna.topo.invariants.FixedPoint attribute) SectionCorrespondence (class in pyna.topo.healed_flux_coords) (class in pyna.topo.toroidal_section_view) SectionCutBridge (class in pyna.topo.bridges) SectionFit (class in pyna.topo.healed_flux_coords) SectionIslandBar (class in pyna.toroidal.visual.magnetic_spectrum) SectionLike (class in pyna.topo.protocols) SectionPoint (class in pyna.topo.core) sections (pyna.topo.healed_flux_coords.BoundaryFamily3D attribute) (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) (pyna.topo.invariant.InvariantTorus property) (pyna.topo.poincare.PoincareAccumulator attribute) (pyna.toroidal.diagnostics.mgrid.PestCurrentComponents attribute) (pyna.toroidal.flt.cycle_shift.CyclePointShift attribute) SectionScaffoldBundle (class in pyna.topo.healed_flux_coords) SectionView (class in pyna.topo.toroidal_section_view) SectionViewBuilder (class in pyna.topo.toroidal_section_view) SectionViewPoint (class in pyna.topo.toroidal_section_view) seed_point (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit property) seed_R (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.adaptive_density.BoundarySeedDensificationResult attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult attribute) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) seed_section_points() (pyna.toroidal.flt.island_chain.PoincareSectionTraces method) seed_Z (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces property) (pyna.toroidal.flt.adaptive_density.BoundarySeedDensificationResult attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult attribute) (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) seeds_by_map_power (pyna.toroidal.flt.island_chain.BoundaryIslandSeedCandidates attribute) seeds_for_map_power() (pyna.toroidal.flt.island_chain.BoundaryIslandSeedCandidates method) sensitivity_matrix() (pyna.toroidal.control.island_optimizer.IslandOptimizer method) SeparableHamiltonianSystem (class in pyna.dynamics) separation (pyna.toroidal.perturbation_spectrum.ChirikovOverlap attribute) sequence (pyna.topo.healed_flux_coords.XOSequence attribute) Session() (in module pyna.cache) set_amplitude() (pyna.toroidal.coils.coil_system.StellaratorControlCoils method) set_cache_root() (in module pyna.cache) set_current() (pyna.toroidal.coils.coil_system.CoilSet method)

set_currents() (pyna.toroidal.coils.coil_system.CoilSet method) set_phase() (pyna.toroidal.coils.coil_system.StellaratorControlCoils method) set_Poly2d_anti_diagnoal() (in module pyna.polynomial) shape (pyna.fields.cylindrical.CylindricalFieldArrays property) (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.io.mgrid.MGridField property) short_label() (pyna.topo.identity.IslandID method) (pyna.topo.identity.ResonanceID method) (pyna.topo.identity.TubeID method) (pyna.topo.resonance.ResonanceNumber method) shuffle (pyna.cache.HDF5Backend attribute) sigma (pyna.dynamics.GeometricBrownianMotion attribute) (pyna.toroidal.perturbation_spectrum.ChirikovOverlap attribute) sigma_max (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) signature (pyna.fields.coords.Coords4DMinkowski attribute) simple_stellarator() (in module pyna.toroidal.equilibrium.stellarator) slope (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit attribute) (pyna.toroidal.visual.RMP_spectrum.NonResonantResidualOrderScan property) slot (pyna.topo.healed_flux_coords.XOArcPoint attribute) smooth1D() (in module pyna.topo.manifold) smooth_closed_boundary_polar() (in module pyna.topo.healed_flux_coords) smooth_pest_derivatives() (in module pyna.toroidal.diagnostics.mgrid) SmoothPestCoordinates (class in pyna.toroidal.diagnostics.mgrid) snap_length_scale (pyna.topo.healed_flux_coords.BoundaryConstraintSet attribute) softening (pyna.dynamics.NBodySystem attribute) sol() (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory method) SOLENOIDAL (pyna.fields.properties.FieldProperty attribute) solovev_iter_like() (in module pyna.toroidal.equilibrium.Solovev) solovev_single_null() (in module pyna.toroidal.equilibrium.Solovev) solve (pyna.dynamics.CallableFlow attribute) solve() (pyna.control.optimizer.TopologyController method) solve_GS_perturbed() (in module pyna.toroidal.equilibrium.GradShafranov) source (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) source_index (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) source_name (pyna.toroidal.minor_radius.GeometricMinorRadiusProvider attribute) source_phi (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) space_dirderivative() (in module EBField) (in module motion) spatial_dim (pyna.dynamics.NBodySystem attribute) spectral_regularity() (in module pyna.topo.regularity) spectral_regularity_single() (in module pyna.topo.regularity) spectrum_surface_matrix() (in module pyna.toroidal.visual.magnetic_spectrum) SpectrumSurfaceMatrix (class in pyna.toroidal.visual.magnetic_spectrum) spl_R_CXO (pyna.topo.healed_flux_coords.SectionFit attribute) spl_R_ext (pyna.topo.healed_flux_coords.SectionFit attribute) spl_R_in (pyna.topo.healed_flux_coords.SectionFit attribute) spl_Z_CXO (pyna.topo.healed_flux_coords.SectionFit attribute) spl_Z_ext (pyna.topo.healed_flux_coords.SectionFit attribute) spl_Z_in (pyna.topo.healed_flux_coords.SectionFit attribute) splines (pyna.topo.flux_surface.FluxSurfaceMap attribute), [1] splines_R (pyna.topo.island_healed_coords.InnerFourierSection attribute) splines_Z (pyna.topo.island_healed_coords.InnerFourierSection attribute) split() (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum method) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum method) split_radial_perturbation_spectrum() (in module pyna.toroidal.torus_deformation) split_state() (pyna.dynamics.SeparableHamiltonianSystem method) Stability (class in pyna.topo.core) stability (pyna.topo.invariants.FixedPoint attribute) stability_data (pyna.topo.core.PeriodicOrbit attribute) (pyna.topo.core.SectionPoint attribute) stability_index (pyna.control.topology_state.XPointState property) (pyna.topo.core.LinearStabilityData property) (pyna.topo.monodromy.CycleVariationalData property) (pyna.topo.topology_analysis.FixedPointInfo attribute), [1] (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace property) StabilityClassifier (class in pyna.topo.protocols) STABLE_CMAPS (in module pyna.toroidal.visual.tokamak_manifold) stable_manifold() (pyna.context.DynamicsContext method) StableManifold (class in pyna.topo.manifold_improve) StableManifoldPerturbationShift (class in pyna.topo.fpt) StandardMap (class in pyna.topo.classical_maps) (class in pyna.topo.dynamics) start() (pyna.progress.CompositeProgress method) (pyna.progress.LogFileProgress method) (pyna.progress.MPIProgress method) (pyna.progress.NullProgress method) (pyna.progress.TqdmProgress method) (pyna.progress.TraceProgressBase method) start_points_near_resonance() (pyna.toroidal.equilibrium.stellarator.StellaratorSimple method) state (pyna.topo.core.SectionPoint attribute) (pyna.topo.invariants.FixedPoint attribute) state_dim (pyna.fields.base.VectorField3D property) (pyna.system.DynamicalSystem property) (pyna.system.VectorField property) states (pyna.topo.core.Orbit attribute) (pyna.topo.core.Trajectory attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) stats (pyna.cache.CacheStore property) status (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory property) stella (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) (pyna.toroidal.control.island_optimizer.UnperturbedSurfaceReconstructor attribute) StellaratorControlCoils (class in pyna.toroidal.coils.coil_system) StellaratorSimple (class in pyna.toroidal.equilibrium.stellarator) step() (pyna.dynamics.CallableMap method) (pyna.topo.classical_maps.HenonMap method) (pyna.topo.classical_maps.StandardMap method) (pyna.topo.core.Island method) (pyna.topo.dynamics.DiscreteMap method) (pyna.topo.dynamics.GeneralPoincareMap method) (pyna.topo.dynamics.MCFPoincareMap method) (pyna.topo.dynamics.PoincareMap method) (pyna.topo.dynamics.StandardMap method) (pyna.topo.protocols.MapLike method) step_back() (pyna.topo.core.Island method) step_n() (pyna.topo.dynamics.MCFPoincareMap method) step_velocity_verlet() (pyna.dynamics.SeparableHamiltonianSystem method) steps (pyna.topo.core.Orbit attribute) STET2RZ() (in module pyna.toroidal.coords.coordinate) stitch_periodic() (in module pyna.toroidal.pest_coords) STOCHASTIC (pyna.control.topology_state.SurfaceFate attribute) storage_dir (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) strain_rate_tensor() (in module pyna.fields.diff_ops) strike() (pyna.toroidal.flt.postcompute.ToroidalWallTraceData method) strike_line_from_wall_hits() (in module pyna.toroidal.flt.numba_poincare) summary() (pyna.topo.core.TubeChain method) (pyna.topo.topology_analysis.TopologyReport method) (pyna.topo.toroidal_section_view.SectionView method) (pyna.toroidal.control.island_optimizer.OptimisationResult method) superposed_distance (pyna.toroidal.visual.RMP_spectrum.CoupledFixedPointSweep attribute) suppression_after (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) suppression_before (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) surface_deformation (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) surface_fate (pyna.control.topology_state.TopologyState attribute) surface_fourier_spectrum() (in module pyna.toroidal.diagnostics.mgrid) surface_unit_normal_cylindrical() (in module pyna.toroidal.perturbation_spectrum) SurfaceFate (class in pyna.control.topology_state) SurfaceMapResidual (class in pyna.toroidal.visual.RMP_spectrum) surfaces (pyna.topo.flux_surface.FluxSurfaceMap attribute), [1] SYMMETRIC (pyna.fields.properties.FieldProperty attribute) symmetrize() (pyna.fields.tensor.Tensor2FieldCylind method) (pyna.fields.tensor.Tensor2FieldCylindAxisym method) (pyna.fields.tensor.TensorField4DRank2 method) symplectic (pyna.topo.dynamics.PhaseSpace attribute) system() (pyna.topo.workflow.TopologyWorkflow method)

T

t (pyna.topo.core.Trajectory property) tag (pyna.progress.MPIProgress attribute) tangent_map() (pyna.topo.variational.PoincareMapVariationalEquations method) target_boundary (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) target_suppress (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) TargetPlate (class in pyna.toroidal.geometry) Tensor2FieldCylind (class in pyna.fields.tensor) Tensor2FieldCylindAxisym (class in pyna.fields.tensor) TensorField (class in pyna.fields.base) TensorField3DRank2 (class in pyna.fields.base) (in module pyna.fields.tensor) TensorField4DRank2 (class in pyna.fields.tensor) term_added_one_more_factor() (in module pyna.diff.diff) term_removed_one_factor() (in module pyna.diff.diff) TET (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym attribute) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym property) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic property) theta (pyna.toroidal.perturbation_spectrum.RadialPerturbationFourierSpectrum attribute) (pyna.toroidal.visual.RMP_spectrum.FieldlineVelocitySpectrum attribute) theta_arr (pyna.topo.flux_surface.XPointOrbit attribute), [1] theta_at_phi() (pyna.topo.flux_surface.XPointOrbit method) theta_B (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) theta_B_of_theta (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) theta_coverage() (in module pyna.toroidal.pest_coords) theta_error (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection attribute) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison attribute) theta_error_deg (pyna.toroidal.visual.RMP_spectrum.DeformedFixedPointProjection property) (pyna.toroidal.visual.RMP_spectrum.FixedPointPhaseComparison property) theta_lcfs (pyna.control.topology_state.TopologyState attribute) theta_levels (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) theta_O (pyna.topo.island_healed_coords.IslandHealedCoordMap attribute) (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) theta_o_inner (pyna.topo.island_healed_coords.XOCycAnchor attribute), [1] theta_vals (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) theta_X (pyna.topo.island_healed_coords.IslandHealedCoordMap attribute) (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) theta_x_inner (pyna.topo.island_healed_coords.XOCycAnchor attribute), [1] time_average_of_TrigFunc() (in module pyna.utils.symutil.op) time_derivative() (in module motion) time_linear_weighting() (in module pyna.toroidal.equilibrium.axisymmetric) time_name (pyna.topo.core.Trajectory attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) times (pyna.topo.core.Trajectory attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory property) TimeSeriesSolution (class in pyna.dynamics) to_cartesian() (pyna.fields.coords.CoordinateSystem method) (pyna.fields.coords.Coords3DCylindrical method) (pyna.fields.coords.Coords3DSpherical method) (pyna.fields.coords.Coords3DToroidal method) (pyna.fields.coords.Coords4DKerr method) (pyna.fields.coords.Coords4DMinkowski method) (pyna.fields.coords.Coords4DSchwarzschild method) (pyna.fields.coords.CoordsCartesian method) to_dict() (pyna.imas_compat.IMASCoilsNonAxisymmetric method) (pyna.imas_compat.IMASEquilibriumIDS method) (pyna.imas_compat.IMASMHDLinearIDS method) (pyna.imas_compat.IMASPoincareMapping method) to_field_cache() (pyna.fields.cylindrical.VectorFieldCylind method) to_fixed_point_dict() (pyna.topo.toroidal_section_view.SectionView method) to_grid_field() (pyna.toroidal.coils.base.CoilFieldVacuum method) to_island_chain() (pyna.topo.toroidal_section_view.SectionView method) (pyna.toroidal.flt.island_chain.BoundaryIslandChain method) to_json() (pyna.imas_compat.IMASCoilsNonAxisymmetric method) (pyna.imas_compat.IMASEquilibriumIDS method) (pyna.imas_compat.IMASMHDLinearIDS method) (pyna.imas_compat.IMASPoincareMapping method) to_npz() (pyna.fields.cylindrical.ScalarFieldCylind method) (pyna.fields.cylindrical.VectorFieldCylind method) to_rtheta() (pyna.topo.flux_surface.FluxSurfaceMap method) (pyna.topo.island_healed_coords.IslandHealedCoordMap method) to_RZ() (pyna.topo.flux_surface.FluxSurfaceMap method) to_vector() (pyna.control.topology_state.TopologyState method) to_vector_field() (pyna.toroidal.coils.base.CoilFieldVacuum method) (pyna.toroidal.coils.coil_system.CoilSet method) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym method) (pyna.toroidal.equilibrium.Solovev.EquilibriumSolovev method) TopologyController (class in pyna.control.optimizer) TopologyEval (class in pyna.topo.topology_eval) TopologyReport (class in pyna.topo.topology_analysis) TopologyState (class in pyna.control.topology_state) TopologyWorkflow (class in pyna.topo.workflow) toroidal_index() (in module pyna.io.mgrid) toroidal_sections() (in module pyna.topo.section) ToroidalComponentSurface (class in pyna.toroidal.geometry) ToroidalCycle (in module pyna.topo.toroidal) ToroidalField (in module pyna.fields.toroidal) ToroidalIsland (in module pyna.topo) ToroidalIslandChain (in module pyna.topo) ToroidalPeriodicOrbit (in module pyna.topo.toroidal) ToroidalPeriodicOrbitTrace (class in pyna.topo.toroidal_cycle) (in module pyna.topo) ToroidalSection (class in pyna.topo.section) (in module pyna.topo.poincare) ToroidalSectionCorrespondence (in module pyna.topo.toroidal_section_view) ToroidalSectionPoint (in module pyna.topo.toroidal) ToroidalSectionView (in module pyna.topo.toroidal_section_view) ToroidalSectionViewBuilder (in module pyna.topo.toroidal_section_view) ToroidalSectionViewPoint (in module pyna.topo.toroidal_section_view) ToroidalTrajectory (class in pyna.topo.toroidal_trajectory) ToroidalTube (in module pyna.topo) ToroidalTubeChain (in module pyna.topo) ToroidalWall (class in pyna.toroidal.geometry) ToroidalWallTraceData (class in pyna.toroidal.flt.postcompute) TorusDeformationSpectrum (class in pyna.toroidal.torus_deformation) total_energy() (pyna.dynamics.NBodySystem method) total_radial_response_l2 (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse property)

TqdmProgress (class in pyna.progress) trace (pyna.topo.core.LinearStabilityData property) trace() (pyna.fields.tensor.Tensor2FieldCylind method) (pyna.fields.tensor.Tensor2FieldCylindAxisym method) (pyna.fields.tensor.TensorField4DRank2 method) (pyna.flt.FieldLineTracer method) (pyna.topo.flux_surface.XPointOrbit class method) trace_adaptive_poincare_sections_from_same_orbits_field() (in module pyna.toroidal.flt.adaptive_density) trace_boundary_island_chain_dense_span_field() (in module pyna.toroidal.flt.island_chain) trace_boundary_island_chain_sections_span_field() (in module pyna.toroidal.flt.island_chain) trace_boundary_island_shapes_field() (in module pyna.toroidal.flt.island_chain) trace_boundary_island_shapes_multi_section_field() (in module pyna.toroidal.flt.island_chain) trace_connection_length_twall() (in module pyna.toroidal.flt.numba_poincare) trace_connection_length_twall_field() (in module pyna.toroidal.flt.numba_poincare) trace_fieldline_trajectory() (in module pyna.toroidal.flt.trajectory) trace_fieldline_trajectory_bidirectional() (in module pyna.toroidal.flt.trajectory) trace_fixed_point_manifolds_field() (in module pyna.toroidal.flt.island_chain) trace_fixed_point_manifolds_multi_section_field() (in module pyna.toroidal.flt.island_chain) trace_fixed_point_orbit_dense_span_field() (in module pyna.toroidal.flt.island_chain) trace_fixed_point_orbit_sections_span_field() (in module pyna.toroidal.flt.island_chain) trace_fixed_point_orbit_span_field() (in module pyna.toroidal.flt.island_chain) trace_fixed_point_orbits_span_field() (in module pyna.toroidal.flt.island_chain) trace_grid_to_phi() (in module pyna.topo.healed_flux_coords) trace_many() (pyna.flt.FieldLineTracer method) (pyna.flt_cuda.FieldLineTracerCUDA method) trace_map_batch_span() (in module pyna.toroidal.flt.numba_poincare) trace_map_batch_span_field() (in module pyna.toroidal.flt.numba_poincare) trace_orbit() (in module pyna.workflow.tracing) trace_orbit_along_phi() (in module pyna.toroidal.flt.numba_poincare) trace_orbit_along_phi_field() (in module pyna.toroidal.flt.numba_poincare) trace_orbit_bidirectional_along_phi() (in module pyna.toroidal.flt.numba_poincare) trace_orbit_bidirectional_along_phi_field() (in module pyna.toroidal.flt.numba_poincare) trace_orbit_flow() (in module pyna.workflow.tracing) trace_poincare_batch() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_batch_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_batch_twall() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_batch_twall_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_bidirectional_batch() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_bidirectional_batch_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_bidirectional_batch_twall() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_bidirectional_batch_twall_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_dpk_growth() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_dpk_growth_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_dpk_growth_twall() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_dpk_growth_twall_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_multi_batch() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_multi_batch_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_multi_bidirectional_batch() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_multi_bidirectional_batch_field() (in module pyna.toroidal.flt.numba_poincare) trace_poincare_sections_from_same_orbits_field() (in module pyna.toroidal.flt.island_chain) trace_section_curve_to_phi() (in module pyna.topo.healed_flux_coords) trace_strike_line_twall() (in module pyna.toroidal.flt.numba_poincare) trace_strike_line_twall_field() (in module pyna.toroidal.flt.numba_poincare) trace_surface_family_to_sections() (in module pyna.topo.healed_flux_coords) trace_toroidal_trajectory() (in module pyna.topo.toroidal_trajectory) trace_toroidal_wall_data_field() (in module pyna.toroidal.flt.postcompute) trace_trajectory() (in module pyna.workflow.tracing) trace_trajectory_flow() (in module pyna.workflow.tracing) trace_valid_fraction (pyna.topo.healed_flux_coords.SectionFit attribute) trace_wall_hits_twall() (in module pyna.toroidal.flt.numba_poincare) trace_wall_hits_twall_field() (in module pyna.toroidal.flt.numba_poincare) TraceFunction (in module pyna.topo.healed_flux_coords) TraceProgressBase (class in pyna.progress) traces (pyna.toroidal.flt.adaptive_density.AdaptivePoincareSectionTraces attribute) Trajectory (class in pyna.topo.core) (in module pyna.topo) trajectory (pyna.topo.core.Cycle attribute) (pyna.topo.monodromy.CycleVariationalData attribute) (pyna.topo.toroidal_cycle.ToroidalPeriodicOrbitTrace attribute), [1] trajectory() (pyna.dynamics.CallableFlow method) (pyna.dynamics.HamiltonianSystem method) (pyna.dynamics.NBodySystem method) (pyna.topo.builders.GeometryBuilder method) (pyna.topo.dynamics.GeneralPoincareMap method) (pyna.topo.workflow.TopologyWorkflow method) Trajectory3D (in module pyna.topo.trajectory3d) Trajectory3DToroidal (in module pyna.topo.trajectory3d) TrajectoryPerturbationShift (class in pyna.topo.fpt) transport_change (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) transport_penalty (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) TransportedSection (class in pyna.topo.healed_flux_coords) transpose() (pyna.fields.tensor.Tensor2FieldCylind method) (pyna.fields.tensor.Tensor2FieldCylindAxisym method) (pyna.fields.tensor.TensorField4DRank2 method) trim_compact_tick_labels() (in module pyna.plot.section_geometry) triple_prod() (in module pyna.utils.symutil.vector) ttl_seconds (pyna.cache.CacheStore attribute) Tube (class in pyna.topo.core) tube() (pyna.context.DynamicsContext method) (pyna.topo.workflow.TopologyWorkflow method) tube_chain() (pyna.context.DynamicsContext method) (pyna.topo.workflow.TopologyWorkflow method) tube_chain_legend() (in module pyna.plot.tube) TUBE_COLORS (in module pyna.plot.tube) tube_id (pyna.topo.toroidal_section_view.SectionViewPoint attribute) tube_index (pyna.topo.identity.TubeID attribute) tube_legend_handles() (in module pyna.plot.tube) TUBE_MARKERS_O (in module pyna.plot.tube) TUBE_MARKERS_X (in module pyna.plot.tube) tube_to_point_indices (pyna.topo.toroidal_section_view.SectionCorrespondence attribute) TubeChain (class in pyna.topo.core) TubeChainBuilder (class in pyna.topo.builders) TubeID (class in pyna.topo.identity) tubes (pyna.topo.core.TubeChain attribute) turns (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property) TWO_PERIOD_SECTIONS (in module pyna.topo.section) TWOPI (in module pyna.toroidal.pest_coords) (in module pyna.toroidal.visual.RMP_spectrum)

U

u_electron (pyna.fields.toroidal.Equilibrium attribute) u_fast (pyna.fields.toroidal.Equilibrium attribute) u_impurity (pyna.fields.toroidal.Equilibrium attribute) u_ion (pyna.fields.toroidal.Equilibrium attribute) uniformly_scattered_points_in_polygon() (in module matplotlib.pickpoints) unique_points() (pyna.topo.toroidal_section_view.SectionView method) units (pyna.fields.base.Field attribute) UNKNOWN (pyna.control.topology_state.SurfaceFate attribute) (pyna.topo.core.Stability attribute) unpack_state() (pyna.dynamics.NBodySystem method) UnperturbedSurfaceReconstructor (class in pyna.toroidal.control.island_optimizer)

unregister() (pyna.topo.factories.Registry method) UNSTABLE_CMAPS (in module pyna.toroidal.visual.tokamak_manifold) unstable_manifold() (pyna.context.DynamicsContext method) UnstableManifold (class in pyna.topo.manifold_improve) update() (pyna.progress.CompositeProgress method) (pyna.progress.LogFileProgress method) (pyna.progress.MPIProgress method) (pyna.progress.NullProgress method) (pyna.progress.TqdmProgress method) (pyna.progress.TraceProgressBase method) upper (pyna.toroidal.minor_radius.GeometricMinorRadiusProvider attribute)

V

V_lcfs (pyna.topo.topology_eval.TopologyEval attribute) valid (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) (pyna.topo.healed_flux_coords.TransportedSection attribute) valid_counts_by_r() (pyna.topo.healed_flux_coords.SectionCorrespondence method) valid_fraction() (pyna.topo.healed_flux_coords.BoundarySection method) validate_phi_grid() (in module pyna.fields.cylindrical) value (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.toroidal.visual.magnetic_spectrum.PoincareRationalTrace attribute) value_2d (pyna.fields.cylindrical.ScalarFieldCylindAxisym property) value_dim (pyna.flow.Flow property) (pyna.flow.FlowCallable property) (pyna.flow.FlowSympy property) (pyna.map.Map property) (pyna.map.MapCallable property) (pyna.map.MapCallableComposite property) (pyna.map.MapSympy property) (pyna.map.MapSympyComposite property) (pyna.map.MapUniCallable property) variance() (pyna.dynamics.BrownianMotion method) vE_at() (EBField.EBField method) vector_field() (pyna.dynamics.CallableFlow method) (pyna.dynamics.HamiltonianSystem method) (pyna.dynamics.NBodySystem method) (pyna.dynamics.SeparableHamiltonianSystem method) (pyna.topo.dynamics.ContinuousFlow method) (pyna.topo.dynamics.HamiltonianFlow method) (pyna.topo.dynamics.MagneticFieldLine method) (pyna.topo.protocols.FlowLike method)

vector_field_cylind_from_field() (in module pyna.toroidal.flt.numba_poincare) VectorField (class in pyna.fields.base) (class in pyna.system) VectorField1D (class in pyna.fields.base) (class in pyna.system) VectorField2D (class in pyna.fields.base) (class in pyna.system) VectorField3D (class in pyna.fields.base) VectorField4D (class in pyna.fields.base) (class in pyna.system) VectorFieldCylind (class in pyna.fields.cylindrical) VectorFieldCylindAxisym (class in pyna.fields.cylindrical) velocity (pyna.toroidal.visual.RMP_spectrum.NonResonantFieldlineResponse attribute) view() (pyna.toroidal.flt.postcompute.ToroidalWallTraceData method) views() (pyna.toroidal.flt.postcompute.ToroidalWallTraceData method) volume() (pyna.topo.toroidal_trajectory.ToroidalTrajectory method) VPhi (pyna.fields.cylindrical.VectorFieldCylind property) VR (pyna.fields.cylindrical.VectorFieldCylind property) VZ (pyna.fields.cylindrical.VectorFieldCylind property)

W

W7X_CONFIG (in module pyna.topo.topology_eval) w_boundary (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) w_deform (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) w_monitor (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) w_suppress (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) w_transport (pyna.toroidal.control.island_optimizer.IslandOptimizer attribute) wall_clearance() (in module pyna.toroidal.optimize.objectives) wall_file (pyna.topo.topology_eval.DeviceConfig attribute) wall_fraction_theta() (in module pyna.toroidal.flt.adaptive_density) wall_hits (pyna.toroidal.flt.postcompute.ToroidalWallTraceData attribute) wall_phi (pyna.toroidal.geometry.ToroidalComponentSurface property) wall_R_all (pyna.toroidal.geometry.ToroidalComponentSurface property) wall_trace_post_compute_flow() (in module pyna.toroidal.flt.postcompute) wall_trace_post_compute_task() (in module pyna.toroidal.flt.postcompute) wall_Z_all (pyna.toroidal.geometry.ToroidalComponentSurface property)

WallGeometry (class in pyna.toroidal.control.wall) WallModel (class in pyna.flt) warnings (pyna.topo.topology_analysis.TopologyReport attribute), [1] (pyna.toroidal.control.island_optimizer.OptimisationResult attribute) which_k_is_this_factor_No() (in module pyna.diff.diff) width_fit (pyna.toroidal.visual.RMP_spectrum.RMPAmplitudeOrderScan attribute) winding (pyna.toroidal.flt.island_chain.BoundaryIslandChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit attribute) with_all_cycle_points() (pyna.topo.island_healed_coords.InnerFourierSection method) with_island_constraint() (pyna.topo.island_healed_coords.InnerFourierSection method) with_phase_shift() (pyna.toroidal.perturbation_spectrum.ResonantIslandChain method) WithParam (class in pyna.withparam)

X

x (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit attribute) X_cycles (pyna.topo.core.Tube attribute) X_orbits (pyna.topo.core.Island attribute) x_orbits (pyna.toroidal.flt.island_chain.BoundaryIslandChain property) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseChain property) X_points (pyna.topo.core.Island property) (pyna.topo.core.IslandChain property) (pyna.topo.healed_flux_coords.XOSequence attribute) (pyna.topo.island_extract.IslandChain attribute), [1] x_points (pyna.toroidal.flt.island_chain.BoundaryIslandSearchResult property) X_slot (pyna.topo.healed_flux_coords.XOSequence attribute) xi_syms (pyna.flow.FlowSympy property) (pyna.map.MapSympy property) (pyna.map.MapSympyComposite property) xo_sequence_boundary_arcs() (in module pyna.topo.healed_flux_coords)

XO_STYLE (in module pyna.plot.xo_points) XOArcPoint (class in pyna.topo.healed_flux_coords) XOCycAnchor (class in pyna.topo.island_healed_coords) XOSequence (class in pyna.topo.healed_flux_coords) xpoint_field_parallelism() (in module pyna.toroidal.optimize.objectives) xpoint_position (pyna.control.optimizer.ControlWeights attribute) xpoint_R_bounds (pyna.control.optimizer.ControlConstraints attribute) xpoint_theta (pyna.toroidal.visual.RMP_spectrum.ResonantComponent attribute) xpoint_Z_bounds (pyna.control.optimizer.ControlConstraints attribute) XPointOrbit (class in pyna.topo.flux_surface) xpoints (pyna.control.topology_state.TopologyState attribute) XPointState (class in pyna.control.topology_state) xpt_DPm_list (pyna.topo.topology_eval.TopologyEval attribute) xs (matplotlib.pickpoints.Line2DExtender attribute) xyz (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit property) xyz_to_rzphi() (in module pyna.toroidal.coords.coordinate)

Y

y (pyna.topo.core.Trajectory property) (pyna.toroidal.visual.RMP_spectrum.LogLogOrderFit attribute)

ys (matplotlib.pickpoints.Line2DExtender attribute)

Z

Z (pyna.control.topology_state.OPointState attribute) (pyna.control.topology_state.XPointState attribute) (pyna.fields.cylindrical.ScalarFieldCylind property) (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.tensor.Tensor2FieldCylind property) (pyna.io.mgrid.MGridCurrent attribute) (pyna.io.mgrid.MGridField attribute) (pyna.topo.fpt.OrbitPerturbationShift attribute) (pyna.topo.healed_flux_coords.BoundarySection attribute) (pyna.topo.healed_flux_coords.SectionCorrespondence attribute) (pyna.topo.healed_flux_coords.TransportedSection attribute) (pyna.topo.healed_flux_coords.XOArcPoint attribute) (pyna.topo.toroidal_section_view.SectionViewPoint attribute) (pyna.topo.toroidal_trajectory.ToroidalTrajectory attribute) (pyna.toroidal.diagnostics.mgrid.PestCurrentSection attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandDenseOrbit attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandFixedPoint attribute) (pyna.toroidal.flt.island_chain.BoundaryIslandOrbit property) (pyna.toroidal.flt.trajectory.DenseFieldLineTrajectory attribute) (pyna.toroidal.geometry.ToroidalComponentSurface attribute) z_2d (pyna.imas_compat.IMASEquilibriumIDS attribute) Z_arr (pyna.fields.cylindrical.VectorFieldCylind property) (pyna.fields.toroidal.Equilibrium property) (pyna.fields.toroidal.EquilibriumLike property) (pyna.topo.flux_surface.XPointOrbit attribute) Z_ax (pyna.topo.flux_surface.FluxSurface attribute), [1] (pyna.topo.flux_surface.FluxSurfaceMap attribute) (pyna.topo.healed_flux_coords.SectionFit attribute) (pyna.topo.island_healed_coords.InnerFourierSection attribute) (pyna.topo.topology_eval.TopologyEval attribute)

Z_ax_guess (pyna.topo.topology_eval.DeviceConfig attribute) z_boundary (pyna.imas_compat.IMASEquilibriumIDS attribute) Z_closed (pyna.topo.healed_flux_coords.XOSequence attribute) Z_cos (pyna.topo.flux_surface.FluxSurface attribute) z_crossings (pyna.imas_compat.IMASPoincareMapping attribute) Z_flat (pyna.toroidal.flt.island_chain.PoincareSectionTraces attribute) Z_grid (pyna.fields.cylindrical.CylindricalFieldArrays attribute) (pyna.topo.topology_analysis.TopologyReport attribute) z_grid (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) Z_inner (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) z_max (pyna.toroidal.coils.accel.CircularCoilTemplate attribute) Z_mesh (pyna.toroidal.equilibrium.axisymmetric.EquilibriumAxisym property) (pyna.toroidal.equilibrium.axisymmetric.EquilibriumTokamakCircularSynthetic property) Z_o (pyna.topo.island_healed_coords.XOCycAnchor attribute) Z_O (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) Z_outer (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) Z_path (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) Z_ref (pyna.topo.healed_flux_coords.FieldLineScaffold3D attribute) Z_sin (pyna.topo.flux_surface.FluxSurface attribute) Z_surf (pyna.toroidal.boozer_coords.BoozerCoordinateMesh attribute) (pyna.toroidal.diagnostics.mgrid.SmoothPestCoordinates attribute) (pyna.toroidal.pest_coords.AxisCoreInsertion attribute) Z_wall (pyna.flt.WallModel attribute) (pyna.toroidal.control.wall.WallGeometry attribute), [1] Z_x (pyna.topo.island_healed_coords.XOCycAnchor attribute) Z_X (pyna.toroidal.visual.magnetic_spectrum.SectionIslandBar attribute) Zc (pyna.toroidal.coils.coil.CoilFieldAnalyticRectangularSection property) zero() (pyna.topo.dynamics.PhaseSpace method) zero_like() (pyna.fields.cylindrical.VectorFieldCylind class method) Zord_max (pyna.polymap.PolyMap2d property)