Index

A

acos() (in module volumential.symbolic) acosh() (in module volumential.symbolic) acospi() (in module volumential.symbolic) active() (in module volumential.phase_profile) adaptive_quadrature() (in module volumential.singular_integral_2d) add() (in module volumential.opcounters) (volumential.opcounters.OpCounters method) (volumential.volume_fmm.TimingRecorder method) adjust_for_kernel_scaling() (volumential.function_extension.ComplexLinearKernel method) (volumential.function_extension.ComplexLogKernel method) (volumential.table_manager.ConstantKernel method) alpha (volumential.gaussian.GaussianComponent attribute) amplitude (volumential.gaussian.GaussianComponent attribute) as_dict() (volumential.opcounters.OpCounters method) (volumential.phase_profile.PhaseProfile method) as_metadata() (volumential.gaussian.GaussianComponent method) (volumential.gaussian.GaussianMixture method)

asin() (in module volumential.symbolic) asinh() (in module volumential.symbolic) asinpi() (in module volumential.symbolic) assemble_parameterized_table() (in module volumential.rke_table_assembly) assemble_windowed_damped_table() (in module volumential.rke_table_assembly) assemble_windowed_parameterized_table() (in module volumential.rke_table_assembly) atan() (in module volumential.symbolic) atan2() (in module volumential.symbolic) atan2pi() (in module volumential.symbolic) atanh() (in module volumential.symbolic) atanpi() (in module volumential.symbolic) auto_tune_candidates (volumential.nearfield_potential_table.DuffyBuildConfig attribute) auto_tune_floor_factor (volumential.nearfield_potential_table.DuffyBuildConfig attribute) auto_tune_orders (volumential.nearfield_potential_table.DuffyBuildConfig attribute) auto_tune_samples (volumential.nearfield_potential_table.DuffyBuildConfig attribute) axes (volumential.gaussian.SliceGrid attribute) axis_aligned_slice_grid() (in module volumential.gaussian) axis_values (volumential.gaussian.SliceGrid attribute)

B

barycentric_lagrange_weights() (in module volumential.lagrange) base_table_count (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) base_table_payload_bytes (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) basis_table_count (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) batched_duffy_nodes_per_entry() (in module volumential.opcounters) bbox_getter (volumential.geometry.BoxFMMGeometryFactory attribute) BoundingBoxFactory (class in volumential.geometry) box_quad() (in module volumential.singular_integral_2d) box_quad_duffy_radial() (in module volumential.singular_integral_2d) box_quad_duffy_radial_nd() (in module volumential.singular_integral_2d) box_quad_tanh_sinh_radial() (in module volumential.singular_integral_2d) BoxFMMGeometryData (class in volumential.geometry) BoxFMMGeometryFactory (class in volumential.geometry) BoxIndexArray (in module volumential.expansion_wrangler_interface)

BoxSpecificMap (class in volumential.box_operators) BoxSpecificReduction (class in volumential.box_operators) BoxSum (class in volumential.box_operators) BoxTree (class in volumential.tree_interactive_build) build_arithmetic_case_metadata() (in module volumential.orbit_arithmetic) build_geometry_info() (in module volumential.meshgen) build_kernel_exterior_normalizer_table() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_normalizer_table() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_particle_tree_from_box_tree() (in module volumential.tree_interactive_build) build_table() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_table_via_duffy_radial() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_table_via_duffy_radial_batched() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_table_via_duffy_radial_batched_2d() (volumential.nearfield_potential_table.NearFieldInteractionTable method) build_tree() (in module volumential.list1_gallery) by_function() (volumential.opcounters.OpCounters method)

C

CacheMode (class in volumential) CACHING_ENABLED (in module volumential) CahnHilliardKernel (class in volumential.table_manager) calls() (volumential.phase_profile.PhaseProfile method) case_encode (volumential.list1_gallery.List1Gallery attribute) case_indices (volumential.list1_gallery.List1Gallery attribute) CaseVecReduction (class in volumential.list1_symmetry) cbrt() (in module volumential.symbolic) ceil() (in module volumential.symbolic) center (volumential.gaussian.GaussianComponent attribute) choose_truncation_order() (in module volumential.rke_table_assembly) cl_context (volumential.geometry.BoxFMMGeometryFactory attribute) CL_MATH_FUNCS (in module volumential.symbolic) CL_MATH_URL (in module volumential.symbolic) clean_file() (in module volumential.tools) coarsen_multipoles() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) code_cache (in module volumential) codegen_compute_displacement() (volumential.list1.NearFieldFromCSR method) codegen_compute_scaling() (volumential.list1.NearFieldFromCSR method) codegen_exterior_part() (volumential.list1.NearFieldFromCSR method) codegen_get_dimension_specific_snippets() (volumential.interpolation.ElementsToSourcesLookupBuilder method) codegen_get_table_level() (volumential.list1.NearFieldFromCSR method) codegen_vec_component() (volumential.list1.NearFieldFromCSR method)

codegen_vec_id() (volumential.list1.NearFieldFromCSR method) ComplexExponentialRewriter (class in volumential.nearfield_potential_table) ComplexFractionalKernel (class in volumential.function_extension) ComplexLinearKernel (class in volumential.function_extension) ComplexLinearLogKernel (class in volumential.function_extension) ComplexLogKernel (class in volumential.function_extension) components (volumential.gaussian.GaussianMixture attribute) compression_ratio (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) compute_affine_transform() (in module volumential.interpolation) compute_and_update_table() (volumential.table_manager.NearFieldInteractionTableManager method) compute_and_update_table_for_request() (volumential.table_manager.NearFieldInteractionTableManager method) compute_barycentric_lagrange_params() (in module volumential.volume_fmm) compute_biharmonic_extension() (in module volumential.function_extension) compute_constant_extension() (in module volumential.function_extension) compute_harmonic_extension() (in module volumential.function_extension) compute_nmlz() (volumential.nearfield_potential_table.NearFieldInteractionTable method) compute_short_lists() (volumential.interpolation.ElementsToSourcesLookupBuilder method) compute_table_entry_duffy_radial() (volumential.nearfield_potential_table.NearFieldInteractionTable method) constant_one() (in module volumential.nearfield_potential_table) ConstantKernel (class in volumential.table_manager) copysign() (in module volumential.symbolic) cos() (in module volumential.symbolic) cosh() (in module volumential.symbolic) cospi() (in module volumential.symbolic) counting() (in module volumential.opcounters)

D

damped_kernel_radial() (in module volumential.rke_table_assembly) data (volumential.nearfield_potential_table.NearFieldInteractionTable property) decode_index() (volumential.nearfield_potential_table.NearFieldInteractionTable method) default_name (volumential.list1.NearFieldEvalBase attribute) (volumential.list1.NearFieldFromCSR attribute) default_overlapping_gaussian_mixture() (in module volumential.gaussian) der_laplacian() (in module volumential.symbolic) dim (volumential.gaussian.GaussianComponent property) (volumential.gaussian.GaussianMixture property) (volumential.table_manager.KernelSpec attribute) (volumential.table_manager.TableRequest property) dimension_specific_setup() (volumential.meshgen.MeshGen1D method) (volumential.meshgen.MeshGen2D method) (volumential.meshgen.MeshGen3D method) (volumential.meshgen.MeshGenBase method)

dimensions (volumential.tree_interactive_build.BoxTree property) direct_build_fallback_reason() (in module volumential.opcounters) direct_build_routing() (in module volumential.opcounters) discr (volumential.interpolation.ElementsToSourcesLookup attribute) (volumential.interpolation.LeavesToNodesLookup attribute) DiscreteLegendreTransform (class in volumential.box_operators) discretization (volumential.table_manager.TableRequest attribute) displacement_code (volumential.list1.KernelScalingPolicy attribute) dmk_gaussian_split_sigma() (in module volumential.gaussian) draw() (volumential.list1_gallery.TreeBox method) drive_volume_fmm() (in module volumential.volume_fmm) duffy_block_geometry() (in module volumential.opcounters) DUFFY_BUILD_ROUTINGS (in module volumential.nearfield_potential_table) DUFFY_NO_FALLBACK_ENV_VAR (in module volumential.nearfield_potential_table) DuffyBuildConfig (class in volumential.nearfield_potential_table)

E

ElementsToSourcesLookup (class in volumential.interpolation) ElementsToSourcesLookupBuilder (class in volumential.interpolation) engine (volumential.geometry.BoxFMMGeometryFactory attribute) enumerate_scalar_arithmetic_representatives() (in module volumential.orbit_arithmetic) erf() (in module volumential.symbolic) erfc() (in module volumential.symbolic) eval_direct() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) eval_direct_helmholtz_split_correction() (volumential.wranglers.helmholtz_split.HelmholtzSplitCorrectionMixin method) eval_direct_p2p() (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) eval_direct_single_out_kernel() (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) eval_locals() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method)

eval_multipoles() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) evaluate_gaussian_laplacian_power() (in module volumential.gaussian) evaluate_gaussian_mixture() (in module volumential.gaussian) evaluate_lagrange_basis_1d() (in module volumential.lagrange) exp() (in module volumential.symbolic) exp10() (in module volumential.symbolic) exp2() (in module volumential.symbolic) expansion_coefficient_counts() (in module volumential.opcounters) ExpansionWranglerInterface (class in volumential.expansion_wrangler_interface) expm1() (in module volumential.symbolic) EXTERNAL_TABLE_BUILD_METHOD (in module volumential.table_manager)

F

fabs() (in module volumential.symbolic) FAR_FIELD_PHASES (in module volumential.phase_profile) fdim() (in module volumential.symbolic) finalize_potentials() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) find_base_vecs() (volumential.list1_symmetry.CaseVecReduction method) find_invariant_group() (volumential.list1_symmetry.CaseVecReduction method) find_target_point() (volumential.nearfield_potential_table.NearFieldInteractionTable method) fixed_axis (volumential.gaussian.SliceGrid attribute) fixed_value (volumential.gaussian.SliceGrid attribute) Flip (class in volumential.list1_symmetry) floor() (in module volumential.symbolic) fma() (in module volumential.symbolic) fmax() (in module volumential.symbolic) fmin() (in module volumential.symbolic) FMM_FAR_FIELD_STAGES (in module volumential.opcounters) fmm_stage_operation_counts() (in module volumential.opcounters) fmm_stage_operation_counts_from_traversal() (in module volumential.opcounters) FMMArray (in module volumential.expansion_wrangler_interface)

FMMLibBatchedStagesMixin (class in volumential.wranglers.fmmlib_batched) fmod() (in module volumential.symbolic) form_locals() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) form_multipoles() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) FPNDExpansionWrangler (class in volumential.wranglers.sumpy_backend) FPNDFMMLibExpansionWrangler (class in volumential.wranglers.fmmlib_backend) FPNDFMMLibTreeIndependentDataForWrangler (class in volumential.wranglers.fmmlib_backend) FPNDSumpyExpansionWrangler (class in volumential.wranglers.sumpy_backend) FPNDSumpyTreeIndependentDataForWrangler (class in volumential.wranglers.sumpy_backend) FPNDTreeIndependentDataForWrangler (class in volumential.wranglers.sumpy_backend) fract() (in module volumential.symbolic) frexp() (in module volumential.symbolic) from_args() (volumential.table_manager.KernelSpec class method) (volumential.table_manager.TableDiscretization class method) (volumential.table_manager.TableRequest class method) full_entry_count (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute)

G

gaussian_filter_mixture() (in module volumential.gaussian) gaussian_mixture_tail_report() (in module volumential.gaussian) GaussianComponent (class in volumential.gaussian) GaussianMixture (class in volumential.gaussian) generate_boxes() (in module volumential.list1_gallery) generate_boxes_on_level() (in module volumential.list1_gallery) generate_gmsh() (volumential.meshgen.MeshGenBase method) generate_interactions() (in module volumential.list1_gallery) generate_leading_order_filtering() (in module volumential.box_operators) generate_list1_gallery() (in module volumential.list1_gallery) generate_uniform_boxtree() (volumential.tree_interactive_build.BoxTree method) get_arclength_parametrization_derivative() (in module volumential.function_extension) get_box_extent() (volumential.tree_interactive_build.BoxTree method) get_cache_key() (volumential.box_operators.BoxSum method) (volumential.box_operators.DiscreteLegendreTransform method) (volumential.expression_eval.ScalarFieldExpressionEvaluation method) (volumential.kernel_cache.KernelCacheWrapper method) (volumential.list1.NearFieldEvalBase method) (volumential.list1.NearFieldFromCSR method) get_cached_optimized_kernel() (volumential.kernel_cache.KernelCacheWrapper method) get_cahn_hilliard() (in module volumential.nearfield_potential_table) get_cahn_hilliard_laplacian() (in module volumential.nearfield_potential_table) get_cell_centers() (volumential.meshgen.MeshGenBase method) (volumential.tree_interactive_build.QuadratureOnBoxTree method) get_cell_centers_dev() (volumential.meshgen.MeshGenBase method) get_cell_measures() (volumential.meshgen.MeshGenBase method) (volumential.tree_interactive_build.QuadratureOnBoxTree method) get_cell_measures_dev() (volumential.meshgen.MeshGenBase method) get_entry_data() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_entry_data_for_full_indices() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_entry_index() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_evaluator() (in module volumential.symbolic) get_extension_bie_symbolic_operator() (in module volumential.function_extension) get_full_reduction_ratio() (volumential.list1_symmetry.CaseVecReduction method) get_helmholtz_split_cache_accounting() (volumential.wranglers.helmholtz_split.HelmholtzSplitCorrectionMixin method) get_inter_box_reduction_ratio() (volumential.list1_symmetry.CaseVecReduction method) get_intra_box_reduction_ratio() (volumential.list1_symmetry.CaseVecReduction method) get_kernel() (volumential.box_operators.BoxSum method) (volumential.box_operators.DiscreteLegendreTransform method) (volumential.expression_eval.ScalarFieldExpressionEvaluation method) (volumential.kernel_cache.KernelCacheWrapper method) (volumential.list1.NearFieldFromCSR method)

get_kernel_function() (volumential.table_manager.NearFieldInteractionTableManager method) get_kernel_function_type() (volumential.table_manager.NearFieldInteractionTableManager method) get_kernel_scaling_policy() (volumential.list1.NearFieldFromCSR method) get_laplace() (in module volumential.nearfield_potential_table) get_mode() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_mode_cheb_coeffs() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_normal_vectors() (in module volumential.function_extension) get_normalised_expr() (volumential.expression_eval.ScalarFieldExpressionEvaluation method) get_optimized_kernel() (volumential.box_operators.BoxSum method) (volumential.box_operators.DiscreteLegendreTransform method) (volumential.expression_eval.ScalarFieldExpressionEvaluation method) (volumential.kernel_cache.KernelCacheWrapper method) (volumential.list1.NearFieldFromCSR method) get_path_length() (in module volumential.function_extension) get_potential_scaler() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_q_points() (volumential.meshgen.MeshGenBase method) (volumential.tree_interactive_build.QuadratureOnBoxTree method) get_q_points_dev() (volumential.meshgen.MeshGenBase method) get_q_weights() (volumential.meshgen.MeshGenBase method) (volumential.tree_interactive_build.QuadratureOnBoxTree method) get_q_weights_dev() (volumential.meshgen.MeshGenBase method) get_reduced_entry_ids() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_reduced_invariant_groups() (volumential.list1_symmetry.CaseVecReduction method) get_reduced_table_data() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_reduced_vec_ids() (volumential.list1_symmetry.CaseVecReduction method) get_reduced_vecs() (volumential.list1_symmetry.CaseVecReduction method) get_scale_factor() (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) get_simplex_lookup_kernel() (volumential.interpolation.ElementsToSourcesLookupBuilder method) get_sumpy_kernel() (volumential.table_manager.NearFieldInteractionTableManager method) get_symmetry_reduction_diagnostics() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_symmetry_transform() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_table() (volumential.table_manager.NearFieldInteractionTableManager method) get_table_from_request() (volumential.table_manager.NearFieldInteractionTableManager method) get_tangent_vectors() (in module volumential.function_extension) get_template_mode() (volumential.nearfield_potential_table.NearFieldInteractionTable method) get_variable_assignment_code() (volumential.expression_eval.ScalarFieldExpressionEvaluation method) get_windowed_channel_table() (in module volumential.rke_table_assembly) get_wrangler() (volumential.expansion_wrangler_interface.TreeIndependentDataForWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibTreeIndependentDataForWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyTreeIndependentDataForWrangler method) greet() (in module volumential.meshgen) grouped_duffy_singular_nodes() (in module volumential.opcounters)

H

has_efficient_scale_adjustment (volumential.function_extension.ComplexFractionalKernel attribute) (volumential.function_extension.ComplexLinearKernel attribute) (volumential.function_extension.ComplexLinearLogKernel attribute) (volumential.function_extension.ComplexLogKernel attribute) (volumential.table_manager.ConstantKernel attribute)

has_entry_data_for_full_indices() (volumential.nearfield_potential_table.NearFieldInteractionTable method) HelmholtzSplitCacheAccounting (class in volumential.wranglers.split_terms) HelmholtzSplitCorrectionMixin (class in volumential.wranglers.helmholtz_split) hypot() (in module volumential.symbolic)

I

ilogb() (in module volumential.symbolic) import_code() (in module volumential.tools) infer_kernel_scaling (volumential.list1.KernelScalingPolicy attribute) init_arg_names (volumential.function_extension.ComplexFractionalKernel attribute) (volumential.function_extension.ComplexLinearKernel attribute) (volumential.function_extension.ComplexLinearLogKernel attribute) (volumential.function_extension.ComplexLogKernel attribute) (volumential.table_manager.CahnHilliardKernel attribute) (volumential.table_manager.ConstantKernel attribute) interpolate_from_meshmode() (in module volumential.interpolation) interpolate_to_meshmode() (in module volumential.interpolation) interpolate_volume_potential() (in module volumential.volume_fmm) inverse_id_map() (in module volumential.wranglers.device_arrays)

InverseDiscreteLegendreTransform (class in volumential.box_operators) invert_affine_transform() (in module volumential.interpolation) is_collinear() (in module volumential.singular_integral_2d) is_complex_valued (volumential.function_extension.ComplexFractionalKernel attribute) (volumential.function_extension.ComplexLinearKernel attribute) (volumential.function_extension.ComplexLinearLogKernel attribute) (volumential.function_extension.ComplexLogKernel attribute) (volumential.table_manager.CahnHilliardKernel property) (volumential.table_manager.ConstantKernel property) is_in_r() (in module volumential.singular_integral_2d) is_in_t() (in module volumential.singular_integral_2d) is_positive_triangle() (in module volumential.singular_integral_2d) is_supported_helmknl() (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler static method)

K

kernel (volumential.table_manager.TableRequest attribute) KERNEL_EVALS (in module volumential.opcounters) kernel_extra_kwargs (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler attribute) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler attribute) kernel_func (volumential.table_manager.TableKernelBundle attribute) kernel_global_scaling_const_to_pymbolic() (in module volumential.nearfield_potential_table) kernel_name (volumential.list1.KernelScalingPolicy attribute)

kernel_scale_type (volumential.table_manager.TableKernelBundle attribute) kernel_type (volumential.table_manager.KernelSpec attribute) (volumential.table_manager.TableRequest property) KERNEL_VERSION (in module volumential.version) KernelCacheWrapper (class in volumential.kernel_cache) KernelScalingPolicy (class in volumential.list1) KernelSpec (class in volumential.table_manager)

L

l2_reconstruction_error (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) labels() (volumential.opcounters.OpCounters method) laplace3d_gaussian_potential() (in module volumential.gaussian) ldexp() (in module volumential.symbolic) leaves_near_ball_lists (volumential.interpolation.LeavesToNodesLookup attribute) leaves_near_ball_starts (volumential.interpolation.LeavesToNodesLookup attribute) LeavesToNodesLookup (class in volumential.interpolation) LeavesToNodesLookupBuilder (class in volumential.interpolation) level_to_rscale() (in module volumential.wranglers.device_arrays) lgamma() (in module volumential.symbolic) lgamma_r() (in module volumential.symbolic) linf_dist() (in module volumential.list1_gallery)

List1Gallery (class in volumential.list1_gallery) load_saved_table() (volumential.table_manager.NearFieldInteractionTableManager method) load_saved_table_from_request() (volumential.table_manager.NearFieldInteractionTableManager method) local_expansion_zeros() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) log() (in module volumential.symbolic) log10() (in module volumential.symbolic) log1p() (in module volumential.symbolic) log2() (in module volumential.symbolic) logb() (in module volumential.symbolic) lookup_by_symmetry() (volumential.nearfield_potential_table.NearFieldInteractionTable method) LOOPY_LANG_VERSION (in module volumential.version)

M

mad() (in module volumential.symbolic) make_uniform_cubic_grid() (in module volumential.meshgen) map_call() (volumential.nearfield_potential_table.ComplexExponentialRewriter method) map_common_subexpression_uncached() (volumential.nearfield_potential_table.ComplexExponentialRewriter method) mapper_method (volumential.function_extension.ComplexFractionalKernel attribute) (volumential.function_extension.ComplexLinearKernel attribute) (volumential.function_extension.ComplexLinearLogKernel attribute) (volumential.function_extension.ComplexLogKernel attribute) (volumential.table_manager.CahnHilliardKernel attribute) (volumential.table_manager.ConstantKernel attribute) materialized (volumential.geometry.BoundingBoxFactory property) math_func_mangler() (in module volumential.symbolic) max_reconstruction_error (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) mean_seconds() (volumential.phase_profile.PhaseProfile method) mesh_leaf_box_arrays() (in module volumential.gaussian) MeshGen1D (class in volumential.meshgen) MeshGen2D (class in volumential.meshgen) MeshGen3D (class in volumential.meshgen) MeshGenBase (class in volumential.meshgen) metadata_payload_bytes (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) mode (volumential.list1.KernelScalingPolicy attribute) modf() (in module volumential.symbolic) module volumential volumential.box_operators volumential.expansion_wrangler_fpnd volumential.expansion_wrangler_interface volumential.expression_eval volumential.function_extension volumential.gaussian volumential.geometry volumential.interpolation volumential.kernel_cache volumential.lagrange volumential.list1 volumential.list1_gallery volumential.list1_symmetry volumential.meshgen volumential.nearfield_potential_table volumential.opcounters volumential.orbit_arithmetic volumential.phase_profile volumential.rke_table_assembly volumential.singular_integral_2d volumential.symbolic volumential.table_manager volumential.tools volumential.tree_interactive_build volumential.version volumential.volume_fmm volumential.wranglers volumential.wranglers.arithmetic_orbits volumential.wranglers.barycentric volumential.wranglers.box_layout volumential.wranglers.device_arrays volumential.wranglers.fmmlib_backend volumential.wranglers.fmmlib_batched volumential.wranglers.helmholtz_split volumential.wranglers.kernel_symmetry volumential.wranglers.kernels volumential.wranglers.nearfield_cache volumential.wranglers.orbit_generated volumential.wranglers.orbit_lookup volumential.wranglers.split_terms volumential.wranglers.sumpy_backend volumential.wranglers.table_data volumential.wranglers.timing

mp_dps (volumential.nearfield_potential_table.DuffyBuildConfig attribute) multipole_expansion_zeros() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) multipole_to_local() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method)

N

n_active_boxes (volumential.tree_interactive_build.BoxTree property) n_active_cells (volumential.geometry.BoxFMMGeometryFactory property) n_active_cells() (volumential.meshgen.MeshGenBase method) n_cells (volumential.geometry.BoxFMMGeometryFactory property) n_cells() (volumential.meshgen.MeshGenBase method) n_q_points_per_cell (volumential.geometry.BoxFMMGeometryFactory property) name (volumential.gaussian.GaussianMixture attribute) names() (volumential.phase_profile.PhaseProfile method) nan() (in module volumential.symbolic) nboxes (volumential.tree_interactive_build.BoxTree property) NEAR_FIELD_PHASES (in module volumential.phase_profile) nearest_axis_slice() (in module volumential.gaussian) nearfield_point_pairs() (in module volumential.opcounters) nearfield_point_pairs_from_counts() (in module volumential.opcounters)

NearFieldEvalBase (class in volumential.list1) NearFieldFromCSR (class in volumential.list1) NearFieldInteractionTable (class in volumential.nearfield_potential_table) NearFieldInteractionTableManager (class in volumential.table_manager) NearFieldPayloadCacheMixin (class in volumential.wranglers.nearfield_cache) negative_scale_count (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) nested_names (volumential.phase_profile.PhaseProfile property) nextafter() (in module volumential.symbolic) nlevels (volumential.geometry.BoxFMMGeometryFactory attribute) (volumential.tree_interactive_build.BoxTree property) nodes (volumential.geometry.BoxFMMGeometryData attribute) nodes_in_leaf_lists (volumential.interpolation.LeavesToNodesLookup attribute) nodes_in_leaf_starts (volumential.interpolation.LeavesToNodesLookup attribute) notes (volumential.list1.KernelScalingPolicy attribute)

O

OpCounters (class in volumential.opcounters) OPT_ENABLED (in module volumential) orbit_size_histogram (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute)

order (volumential.geometry.BoxFMMGeometryFactory attribute) output_zeros() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method)

P

p2l() (volumential.wranglers.sumpy_backend.FPNDSumpyTreeIndependentDataForWrangler method) p2m() (volumential.wranglers.sumpy_backend.FPNDSumpyTreeIndependentDataForWrangler method) parameter_count (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) parse_symmetry_tags() (volumential.list1_symmetry.CaseVecReduction method) phase() (in module volumential.phase_profile) PhaseProfile (class in volumential.phase_profile) points (volumential.gaussian.SliceGrid attribute) postprocess_interactions() (in module volumential.list1_gallery)

pow() (in module volumential.symbolic) pown() (in module volumential.symbolic) powr() (in module volumential.symbolic) prepare_loopy_kernel() (volumential.table_manager.CahnHilliardKernel method) print_info() (volumential.meshgen.MeshGenBase method) PROFILE_NODES (in module volumential.opcounters) profiling() (in module volumential.phase_profile) provider (in module volumential.meshgen)

Q

q_order (volumential.table_manager.TableDiscretization attribute) (volumential.table_manager.TableRequest property) qquad() (in module volumential.singular_integral_2d) quad() (in module volumential.singular_integral_2d)

quadrature_formula (volumential.geometry.BoxFMMGeometryFactory attribute) QuadratureOnBoxTree (class in volumential.tree_interactive_build) quadri_quad() (in module volumential.singular_integral_2d) quadri_quad_duffy_radial() (in module volumential.singular_integral_2d) quadri_quad_tanh_sinh_radial() (in module volumential.singular_integral_2d)

R

radial_quad_order (volumential.nearfield_potential_table.DuffyBuildConfig attribute) radial_rule (volumential.nearfield_potential_table.DuffyBuildConfig attribute) RECOMBINATION_FLOPS (in module volumential.opcounters) reconstruct_full_table_from_symmetry() (volumential.nearfield_potential_table.NearFieldInteractionTable method) reconstructed_payload_bytes (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) record() (volumential.phase_profile.PhaseProfile method) reduce() (volumential.list1_symmetry.CaseVecReduction method) reduced_entry_count() (in module volumential.opcounters) reference_table_level (volumential.list1.KernelScalingPolicy attribute) refine_and_coarsen() (volumential.tree_interactive_build.BoxTree method) refine_locals() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) refusal_kind (volumential.rke_table_assembly.RKEConditioningError attribute) (volumential.rke_table_assembly.RKETruncationError attribute) (volumential.rke_table_assembly.RKEWindowConditioningError attribute) (volumential.rke_table_assembly.RKEWindowCoverageError attribute) register_external_table() (volumential.table_manager.NearFieldInteractionTableManager method) regular_node_count() (in module volumential.opcounters) regular_quad_order (volumential.nearfield_potential_table.DuffyBuildConfig attribute)

reinit() (volumential.geometry.BoxFMMGeometryFactory method) remainder() (in module volumential.symbolic) remquo() (in module volumential.symbolic) reorder_potentials() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) reorder_sources() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) reorder_targets() (volumential.expansion_wrangler_interface.ExpansionWranglerInterface method) (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler method) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler method) representative_count (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) rint() (in module volumential.symbolic) RKEConditioningError RKETruncationError RKEWindowConditioningError RKEWindowCoverageError rootn() (in module volumential.symbolic) round() (in module volumential.symbolic) rsqrt() (in module volumential.symbolic)

S

scalar_duffy_singular_nodes() (in module volumential.opcounters) ScalarFieldExpressionEvaluation (class in volumential.expression_eval) scaling_code (volumential.list1.KernelScalingPolicy attribute) seconds() (volumential.phase_profile.PhaseProfile method) self_extra_kwargs (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler attribute) set_caching_enabled() (in module volumential) set_optimization_enabled() (in module volumential) set_reduced_table_data() (volumential.nearfield_potential_table.NearFieldInteractionTable method) setup_array_context() (in module volumential.function_extension) setup_cl_ctx() (in module volumential.function_extension) setup_command_queue() (in module volumential.function_extension) shape (volumential.gaussian.SliceGrid attribute) shares() (volumential.phase_profile.PhaseProfile method) sign_metadata_count (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) sin() (in module volumential.symbolic) sincos() (in module volumential.symbolic) single_table_scaling_supported (volumential.list1.KernelScalingPolicy attribute) SINGULAR_NODES (in module volumential.opcounters) sinh() (in module volumential.symbolic) sinpi() (in module volumential.symbolic) SliceGrid (class in volumential.gaussian) SMOOTH_NODES (in module volumential.opcounters) solve_affine_map_2d() (in module volumential.singular_integral_2d)

SOLVE_PHASES (in module volumential.phase_profile) source_box_level (volumential.table_manager.TableDiscretization attribute) (volumential.table_manager.TableRequest property) source_extra_kwargs (volumential.wranglers.fmmlib_backend.FPNDFMMLibExpansionWrangler attribute) (volumential.wranglers.sumpy_backend.FPNDSumpyExpansionWrangler attribute) sources_in_element_lists (volumential.interpolation.ElementsToSourcesLookup attribute) sources_in_element_starts (volumential.interpolation.ElementsToSourcesLookup attribute) SPECIAL_EVALS (in module volumential.opcounters) split_enabled (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) split_order (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) split_term_keys (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) split_term_table_count (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) split_term_table_payload_bytes (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) sqrt() (in module volumential.symbolic) StageResult (in module volumential.expansion_wrangler_interface) summarize() (volumential.volume_fmm.TimingRecorder method) sumpy_kernel (volumential.table_manager.TableKernelBundle attribute) sumpy_kernel_to_lambda() (in module volumential.nearfield_potential_table) SumpyTimingFuture (class in volumential.wranglers.timing) surviving_radial_node_count() (in module volumential.opcounters) Swap (class in volumential.list1_symmetry) SymmetryOperationBase (class in volumential.list1_symmetry) SymmetryReductionDiagnostics (class in volumential.nearfield_potential_table) sync() (volumential.phase_profile.PhaseProfile method)

T

TABLE_ENTRIES (in module volumential.opcounters) table_level_code (volumential.list1.KernelScalingPolicy attribute) TableDiscretization (class in volumential.table_manager) TableKernelBundle (class in volumential.table_manager) TableRequest (class in volumential.table_manager) tan() (in module volumential.symbolic) tanh() (in module volumential.symbolic) tanpi() (in module volumential.symbolic) tgamma() (in module volumential.symbolic) TimingRecorder (class in volumential.volume_fmm) total() (volumential.opcounters.OpCounters method) total_seconds() (volumential.phase_profile.PhaseProfile method)

total_table_payload_bytes (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) trav (volumential.interpolation.LeavesToNodesLookup attribute) traversal (volumential.geometry.BoxFMMGeometryData attribute) tree (volumential.geometry.BoxFMMGeometryData attribute) (volumential.interpolation.ElementsToSourcesLookup attribute) TreeBox (class in volumential.list1_gallery) TreeIndependentDataForWranglerInterface (class in volumential.expansion_wrangler_interface) tria2rect_map_2d() (in module volumential.singular_integral_2d) tria_quad() (in module volumential.singular_integral_2d) tria_quad_duffy_radial() (in module volumential.singular_integral_2d) tria_quad_tanh_sinh_radial() (in module volumential.singular_integral_2d) trunc() (in module volumential.symbolic)

U

unreduced_payload_bytes (volumential.nearfield_potential_table.SymmetryReductionDiagnostics attribute) UnverifiedBuildRoutingError unwrap_mode_index() (volumential.nearfield_potential_table.NearFieldInteractionTable method)

update_mesh() (volumential.meshgen.MeshGenBase method) update_qquad_leggauss_formula() (in module volumential.singular_integral_2d) uses_online_coefficients (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute) uses_online_remainder (volumential.wranglers.split_terms.HelmholtzSplitCacheAccounting attribute)

V

vec_list (volumential.list1_gallery.List1Gallery attribute) VERSION (in module volumential.version) VERSION_STATUS (in module volumential.version) VERSION_TEXT (in module volumential.version) volumential module volumential.box_operators module volumential.expansion_wrangler_fpnd module volumential.expansion_wrangler_interface module volumential.expression_eval module volumential.function_extension module volumential.gaussian module volumential.geometry module volumential.interpolation module volumential.kernel_cache module volumential.lagrange module volumential.list1 module volumential.list1_gallery module volumential.list1_symmetry module volumential.meshgen module volumential.nearfield_potential_table module volumential.opcounters module volumential.orbit_arithmetic module volumential.phase_profile module volumential.rke_table_assembly module volumential.singular_integral_2d module

volumential.symbolic module volumential.table_manager module volumential.tools module volumential.tree_interactive_build module volumential.version module volumential.volume_fmm module volumential.wranglers module volumential.wranglers.arithmetic_orbits module volumential.wranglers.barycentric module volumential.wranglers.box_layout module volumential.wranglers.device_arrays module volumential.wranglers.fmmlib_backend module volumential.wranglers.fmmlib_batched module volumential.wranglers.helmholtz_split module volumential.wranglers.kernel_symmetry module volumential.wranglers.kernels module volumential.wranglers.nearfield_cache module volumential.wranglers.orbit_generated module volumential.wranglers.orbit_lookup module volumential.wranglers.split_terms module volumential.wranglers.sumpy_backend module volumential.wranglers.table_data module volumential.wranglers.timing module volumential_version (in module volumential)

W

weights (volumential.geometry.BoxFMMGeometryData attribute) WINDOW_COVERAGE_RELATIVE_TOLERANCE (in module volumential.rke_table_assembly) windowed_channel_profile() (in module volumential.rke_table_assembly)

windowed_remainder_profile() (in module volumential.rke_table_assembly) write_json_metadata() (in module volumential.gaussian) write_npz() (in module volumential.gaussian)

X

x (in module volumential.symbolic)

Y

y (in module volumential.symbolic)

Z

z (in module volumential.symbolic)