Index

_

__call__() (otaf.SystemOfConstraintsAssemblyModel method) __getitem__() (otaf.AssemblyDataProcessor method) __init__() (otaf.CompatibilityLoopHandling method) __repr__() (otaf.AssemblyDataProcessor method) (otaf.DeviationMatrix method) (otaf.GapMatrix method) (otaf.I4 method) (otaf.J4 method) (otaf.SystemOfConstraintsAssemblyModel method) (otaf.TransformationMatrix method)

__setitem__() (otaf.AssemblyDataProcessor method) _deviation_matrix_map (otaf.CompatibilityLoopHandling attribute) _gap_matrix_map (otaf.CompatibilityLoopHandling attribute) _transformation_matrix_map (otaf.CompatibilityLoopHandling attribute)

A

A_eq_Def (otaf.SystemOfConstraintsAssemblyModel attribute) A_eq_Gap (otaf.SystemOfConstraintsAssemblyModel attribute) A_ub_Def (otaf.SystemOfConstraintsAssemblyModel attribute) A_ub_Gap (otaf.SystemOfConstraintsAssemblyModel attribute) add_surface_points() (otaf.AssemblyDataProcessor method) ADP (otaf.CompatibilityLoopHandling attribute) alphabet_generator() (in module otaf.common) angle_between_planes() (in module otaf.geometry) angle_between_vectors() (in module otaf.geometry) apply_FO_matrix_expansion_to_matrix_loop_list() (otaf.CompatibilityLoopHandling method), [1]

are_lines_collinear() (in module otaf.geometry) are_normals_aligned_and_facing() (in module otaf.geometry) are_planes_coincident() (in module otaf.geometry) are_planes_facing() (in module otaf.geometry) are_planes_parallel() (in module otaf.geometry) are_planes_perpendicular() (in module otaf.geometry) are_points_on_2d_plane() (in module otaf.geometry) arrange_axes_in_grid() (in module otaf.plotting) arrays_close_enough() (in module otaf.common) AssemblyDataProcessor (class in otaf)

B

BASE_PART_SURF_PATTERN (in module otaf.constants) BASE_SURFACE_TYPES (in module otaf.constants) BASIS_DICT (in module otaf.constants)

bidirectional_string_to_array_conversion() (in module otaf.common) bounds (otaf.optimization.OptimizationTracker attribute) (otaf.sampling.LagrangeConstraintSolver attribute) (otaf.sampling.UniformSurfaceSampler attribute)

C

calculate_cylinder_surface_frame() (in module otaf.geometry) calculate_nominal_gap_transform() (otaf.CompatibilityLoopHandling method), [1] calculate_sample_in_deviation_domain() (in module otaf.sampling) calculate_scalar_projection_factor() (in module otaf.geometry) centroid() (in module otaf.geometry) closest_point_on_line() (in module otaf.geometry) closest_point_on_plane() (in module otaf.geometry) compatibility_eqs (otaf.SystemOfConstraintsAssemblyModel attribute) compatibility_expressions (otaf.CompatibilityLoopHandling attribute) compatibility_loops_expanded (otaf.AssemblyDataProcessor attribute) compatibility_loops_FO_matrices (otaf.CompatibilityLoopHandling attribute) compatibility_loops_matrices (otaf.CompatibilityLoopHandling attribute) CompatibilityLoopHandling (class in otaf) compose_defects_with_lambdas() (in module otaf.sampling) composedDistribution (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution attribute)

compute_bounding_box() (in module otaf.geometry) compute_failure_probability_FORM() (in module otaf.uncertainty) compute_failure_probability_NAIS() (in module otaf.uncertainty) compute_failure_probability_SUBSET() (in module otaf.uncertainty) compute_failure_probability_subset_sampling() (in module otaf.uncertainty) compute_first_order_expansion() (otaf.FirstOrderMatrixExpansion method) compute_gap_optimizations_on_sample() (in module otaf.uncertainty) compute_gap_optimizations_on_sample_batch() (in module otaf.uncertainty) compute_sup_inf_distributions() (in module otaf.distribution) condition_lambda_sample() (in module otaf.sampling) condition_sample_array() (in module otaf.sampling) ConflictingSurfaceDirectionsException constraint_tolerance (otaf.optimization.OptimizationTracker attribute) CONTACT_TYPE_TO_GAP_DOF (in module otaf.constants) CONTACT_TYPES (in module otaf.constants) CylindricalInterferenceGeometricException

D

D_MATRIX_MSTRING_PATTERN (in module otaf.constants) D_MATRIX_PATTERN1 (in module otaf.constants) D_MATRIX_PATTERN2 (in module otaf.constants) D_MATRIX_PATTERN3 (in module otaf.constants) deviation_symbols (otaf.SystemOfConstraintsAssemblyModel attribute)

DeviationMatrix (class in otaf) dim (otaf.sampling.LagrangeConstraintSolver attribute) (otaf.sampling.UniformSurfaceSampler attribute) distance_between_planes() (in module otaf.geometry) do_bounding_boxes_overlap() (in module otaf.geometry) DuplicatePointError

E

embedOptimizationVariable() (otaf.SystemOfConstraintsAssemblyModel method) euclidean_distance() (in module otaf.geometry) eval_credal_set_constraints() (in module otaf.example_models.models_2_D.model1) (in module otaf.example_models.models_3_D.model3) (in module otaf.example_models.models_3_D.model4) eval_scaled_credal_set_constraints() (in module otaf.example_models.models_2_D.model1) (in module otaf.example_models.models_2_D.model2) (in module otaf.example_models.models_3_D.model3) (in module otaf.example_models.models_3_D.model4)

extract_expressions_with_variables() (in module otaf.common) extract_unique_gap_matrices_from_expanded_loops() (otaf.InterfaceLoopHandling method) extractFreeGapAndDeviationVariables() (otaf.SystemOfConstraintsAssemblyModel method)

F

facing_point_dictionary (otaf.InterfaceLoopHandling property) filter_gap_matrices() (otaf.InterfaceLoopHandling method)

filter_points() (otaf.optimization.OptimizationTracker method) find_best_worst_quantile() (in module otaf.sampling) FirstOrderMatrixExpansion (class in otaf)

G

g (otaf.sampling.LagrangeConstraintSolver attribute) (otaf.sampling.UniformSurfaceSampler attribute) G_MATRIX_MSTRING_PATTERN (in module otaf.constants) G_MATRIX_PATTERN1 (in module otaf.constants) G_MATRIX_PATTERN2 (in module otaf.constants) gap_symbols (otaf.SystemOfConstraintsAssemblyModel attribute) GAP_TYPE_TO_NULLIFIED_NOMINAL_COMPONENTS (in module otaf.constants) GapMatrix (class in otaf) generate() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) generate_all_gap_matrix_names() (otaf.InterfaceLoopHandling method) generate_and_transform_sequence() (in module otaf.sampling) generate_circle_points() (in module otaf.geometry) generate_circle_points_3d() (in module otaf.geometry) generate_correlated_samples() (in module otaf.distribution) generate_deviation_matrix() (otaf.CompatibilityLoopHandling method), [1] generate_expanded_loops() (otaf.AssemblyDataProcessor method) generate_FO_loop_matrices() (otaf.CompatibilityLoopHandling method), [1] generate_functional_cylinders() (otaf.AssemblyDataProcessor method) generate_functional_lines() (otaf.AssemblyDataProcessor method) generate_functional_planes() (otaf.AssemblyDataProcessor method) generate_gap_matrix() (otaf.CompatibilityLoopHandling method), [1] generate_imprecise_probabilistic_samples() (in module otaf.sampling) generate_lhs_experiment() (in module otaf.sampling) generate_loop_id_to_matrix_list_dict() (otaf.CompatibilityLoopHandling method), [1] generate_matrices_from_expanded_loop() (otaf.CompatibilityLoopHandling method), [1] generate_points_for_surface() (otaf.AssemblyDataProcessor method) generate_random_permutations_with_sampling() (in module otaf.sampling) generate_scaled_permutations() (in module otaf.sampling) generate_sphere_clouds() (otaf.AssemblyDataProcessor method) generate_topological_tikz() (in module otaf.plotting) generate_transformation_matrix() (otaf.CompatibilityLoopHandling method), [1] generateConstraintMatrices() (otaf.SystemOfConstraintsAssemblyModel method) generateWithWeights() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) GeometricConditionError get_change_of_basis_matrix() (otaf.TransformationMatrix method) get_compatibility_expressions() (otaf.CompatibilityLoopHandling method), [1] get_composed_normal_defect_distribution() (in module otaf.distribution) get_data() (otaf.optimization.OptimizationTracker method) get_deviation_matrix_by_id() (otaf.CompatibilityLoopHandling method), [1] get_distribution_params() (in module otaf.example_models.models_2_D.model1) (in module otaf.example_models.models_2_D.model2) (in module otaf.example_models.models_3_D.model3) get_feature_indices_and_dimensions() (otaf.SystemOfConstraintsAssemblyModel method)

get_gap_matrix_by_id() (otaf.CompatibilityLoopHandling method), [1] get_interface_expressions() (otaf.InterfaceLoopHandling method) get_inverse() (otaf.DeviationMatrix method) (otaf.GapMatrix method) (otaf.I4 method) (otaf.J4 method) (otaf.TransformationMatrix method) get_matrix() (otaf.DeviationMatrix method) (otaf.GapMatrix method) (otaf.I4 method) (otaf.J4 method) (otaf.TransformationMatrix method) get_matrix_inverse() (otaf.DeviationMatrix method) (otaf.GapMatrix method) (otaf.I4 method) (otaf.J4 method) (otaf.TransformationMatrix method) get_means_standards_composed_distribution() (in module otaf.distribution) get_notebook_scene_sphere_clouds() (otaf.AssemblyDataProcessor method) get_prob_below_threshold() (in module otaf.distribution) get_scaled_credal_set_constraints_function() (in module otaf.example_models.models_2_D.model1) (in module otaf.example_models.models_2_D.model2) (in module otaf.example_models.models_3_D.model4) get_SE3_base() (in module otaf.common) get_SE3_matrices_from_indices() (in module otaf.common) get_surface_points() (otaf.AssemblyDataProcessor method) get_symbol_coef_map() (in module otaf.common) get_symbols_in_expressions() (in module otaf.common) get_system_of_constraints_assembly_model() (in module otaf.example_models.models_2_D.model1) (in module otaf.example_models.models_2_D.model2) (in module otaf.example_models.models_3_D.model3) get_topological_graph() (otaf.AssemblyDataProcessor method) get_tqdm_range() (in module otaf.common) get_variables() (otaf.DeviationMatrix method) (otaf.GapMatrix method) getClassName() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) getId() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) getName() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) getShadowedId() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) getSize() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) getVisibility() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) GLOBAL_CONSTRAINTS_TO_DEVIATION_DOF (in module otaf.constants) GLOBAL_CONSTRAINTS_TO_GAP_DOF (in module otaf.constants)

H

hasName() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) hasUniformWeights() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method)

hasVisibleName() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) hex_to_rgba() (in module otaf.plotting) history (otaf.optimization.OptimizationTracker attribute)

I

I4 (class in otaf) ID (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) (otaf.I4 attribute) (otaf.J4 attribute) (otaf.TransformationMatrix attribute) interface_eqs (otaf.SystemOfConstraintsAssemblyModel attribute) InterfaceLoopHandling (class in otaf) InvalidAffineTransformException InvalidGlobalConstraintError

InvalidInteractionFormatError InvalidPartLabelError InvalidSurfaceDirectionError InvalidSurfaceLabelError inverse (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) inverse_mstring() (in module otaf.common) is_affine_transformation_matrix() (in module otaf.geometry) is_bounding_box_within() (in module otaf.geometry) is_running_in_notebook() (in module otaf.common)

J

J4 (class in otaf)

K

K_eq (otaf.SystemOfConstraintsAssemblyModel attribute)

K_ub (otaf.SystemOfConstraintsAssemblyModel attribute)

L

LabelPatternError LabelPrefixError LagrangeConstraintSolver (class in otaf.sampling)

line_plane_intersection() (in module otaf.geometry) LOC_STAMP_PATTERN (in module otaf.constants) LOOP_ELEMENT_PATTERN (in module otaf.constants)

M

matrix (otaf.exceptions.InvalidAffineTransformException attribute) matrix_list (otaf.FirstOrderMatrixExpansion attribute) merge_with_checks() (in module otaf.common) message (otaf.exceptions.InvalidAffineTransformException attribute) milp_batch_sequential() (in module otaf.uncertainty) MissingKeyError MissingOriginPointError MissingSurfaceTypeKeyError module otaf otaf.capabilities otaf.common otaf.constants otaf.distribution otaf.example_models otaf.example_models.models_2_D otaf.example_models.models_2_D.model1 otaf.example_models.models_2_D.model2 otaf.example_models.models_3_D otaf.example_models.models_3_D.model3 otaf.example_models.models_3_D.model4 otaf.exceptions otaf.geometry otaf.optimization otaf.plotting otaf.sampling otaf.sensitivity otaf.tolerances otaf.uncertainty

multiply_composed_distribution_standard_with_constants() (in module otaf.distribution) multiply_composed_distribution_with_constant() (in module otaf.distribution)

N

n_variables (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) name (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) (otaf.TransformationMatrix attribute) nC (otaf.SystemOfConstraintsAssemblyModel attribute)

nD (otaf.SystemOfConstraintsAssemblyModel attribute) nG (otaf.SystemOfConstraintsAssemblyModel attribute) nI (otaf.SystemOfConstraintsAssemblyModel attribute) NoAxialOverlapException NonConcentricCylindersException NonUniqueCoordinatesError NonUniqueLabelError

O

objective_function() (otaf.sampling.LagrangeConstraintSolver method) (otaf.sampling.UniformSurfaceSampler method) open_cylinder_mesh() (in module otaf.geometry) OptimizationTracker (class in otaf.optimization) otaf module otaf.capabilities module otaf.common module otaf.constants module otaf.distribution module otaf.example_models module otaf.example_models.models_2_D module otaf.example_models.models_2_D.model1 module otaf.example_models.models_2_D.model2 module

otaf.example_models.models_3_D module otaf.example_models.models_3_D.model3 module otaf.example_models.models_3_D.model4 module otaf.exceptions module otaf.geometry module otaf.optimization module otaf.plotting module otaf.sampling module otaf.sensitivity module otaf.tolerances module otaf.uncertainty module

P

parse_matrix_string() (in module otaf.common) PartNotFoundError plane_parameters() (in module otaf.geometry) plot_deviated_surfs() (in module otaf.plotting) plot_deviation_domain() (in module otaf.plotting) plot_ensemble_gld_pbox_cdf() (in module otaf.plotting) plot_gld_pbox_cdf() (in module otaf.plotting) plot_rect_part() (in module otaf.plotting) plotSobolIndicesWithErr() (in module otaf.sensitivity) point_dict_to_arrays() (in module otaf.geometry)

point_in_hull() (in module otaf.geometry) point_plane_distance() (in module otaf.geometry) point_to_segment_distance() (in module otaf.geometry) PointDictionaryError points_in_cylinder() (in module otaf.geometry) points_in_cylinder_vect() (in module otaf.geometry) PointsNotOnPlaneError precision_decimals (otaf.optimization.OptimizationTracker attribute) process_capability() (in module otaf.capabilities) project_samples_to_hyperplane() (in module otaf.sampling) project_vector_onto_plane() (in module otaf.geometry)

R

rotation_matrix_from_vectors() (in module otaf.geometry)

S

sample_surface() (otaf.sampling.UniformSurfaceSampler method) scale_sample_with_params() (in module otaf.sampling) scaling() (in module otaf.common) SE3_basis_indices (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) setComposedDistribution() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) setName() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) setShadowedId() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) setSize() (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution method) sigma_delta_3D_plane() (in module otaf.tolerances) sigma_delta_circular_feature() (in module otaf.tolerances) sigma_delta_cylindrical_feature() (in module otaf.tolerances) size (otaf.sensitivity.SobolIndicesExperimentWithComposedDistribution attribute) SobolIndicesExperimentWithComposedDistribution (class in otaf.sensitivity)

solve() (otaf.sampling.LagrangeConstraintSolver method) (otaf.sampling.UniformSurfaceSampler method) spheres_from_point_cloud() (in module otaf.geometry) starting_points (otaf.sampling.LagrangeConstraintSolver attribute) (otaf.sampling.UniformSurfaceSampler attribute) step_size (otaf.sampling.UniformSurfaceSampler attribute) SURF_ORIGIN_PATTERN (in module otaf.constants) SURF_POINT_PATTERN (in module otaf.constants) SURF_TYPE_TO_DEVIATION_DOF (in module otaf.constants) SURFACE_DICT_VALUE_CHECKS (in module otaf.constants) SURFACE_DIRECTIONS (in module otaf.constants) surface_from_planar_contour() (in module otaf.geometry) SurfaceNotFoundError system_data (otaf.AssemblyDataProcessor attribute) SystemOfConstraintsAssemblyModel (class in otaf)

T

T_MATRIX_PATTERN (in module otaf.constants) test_zero_deviation_feasibility() (otaf.SystemOfConstraintsAssemblyModel method) tfrt() (in module otaf.geometry) threshold_for_percentile_positive_values_below() (in module otaf.common) timeout() (in module otaf.exceptions) to_dataframe() (otaf.optimization.OptimizationTracker method) transform_point() (in module otaf.geometry)

TransformationMatrix (class in otaf) tree() (in module otaf.common) trimesh_scene_as_notebook_scene() (in module otaf.plotting) TYPE (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) (otaf.I4 attribute) (otaf.J4 attribute) (otaf.TransformationMatrix attribute)

U

UniformSurfaceSampler (class in otaf.sampling) UniqueLabelSuffixError

UnsupportedSurfaceTypeError update_constraint_data() (otaf.optimization.OptimizationTracker method) update_objective_data() (otaf.optimization.OptimizationTracker method)

V

validate_and_extract_indices() (in module otaf.sampling) validate_dict_keys() (in module otaf.common) validate_point_dict() (otaf.AssemblyDataProcessor method) validate_system_data_structure() (otaf.AssemblyDataProcessor method)

validateOptimizationResults() (otaf.SystemOfConstraintsAssemblyModel method) variables (otaf.DeviationMatrix attribute) (otaf.GapMatrix attribute) verbose (otaf.SystemOfConstraintsAssemblyModel attribute)