optimism.test package

Submodules

optimism.test.ConvexityPlot module

optimism.test.ConvexityPlot.f(x)

optimism.test.MeshFixture module

class optimism.test.MeshFixture.MeshFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

create_arch_mesh_disp_and_edges(N, M, w, R, bcSetFraction=0.3333333333333333, setNamePostFix='')

create_cos_mesh_disp_and_edges(N, M, w, L, warp)

create_mesh_and_disp(Nx, Ny, xRange, yRange, initial_disp_func, setNamePostFix='')

optimism.test.MeshFixture.compute_residual_norm(grad_func, dofValues)

optimism.test.MeshFixture.map_to_arch(x, R)

optimism.test.MeshFixture.map_to_cos(x, L, warp)

optimism.test.TestFixture module

class optimism.test.TestFixture.TestFixture(methodName='runTest')

Bases: TestCase

_classSetupFailed = False

_class_cleanups = []

assertArrayEqual(a, b)

assertArrayNear(a, b, decimals)

assertArrayNotEqual(a, b)

assertNear(a, b, decimals)

optimism.test.test_AxisymmPatchTest module

class optimism.test.test_AxisymmPatchTest.AxisymmPatchTest(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_axisymmetric_gradient()

test_dirichlet_patch_test()

optimism.test.test_DofManager module

class optimism.test.test_DofManager.DofManagerTest(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_get_bc_size()

test_get_unknown_size()

test_slice_unknowns_with_dof_indices()

optimism.test.test_EquationSolver module

class optimism.test.test_EquationSolver.EquationSolverFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_trust_region_equation_solver()

test_trust_region_incremental_optimizer()

test_trust_region_optimizer()

test_trust_region_optimizer_with_preconditioned_inner_products()

optimism.test.test_EquationSolver.energy(x, params)

optimism.test.test_FunctionSpace module

class optimism.test.test_FunctionSpace.ParameterizationTestSuite(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp() → None

Hook method for setting up the test fixture before exercising it.

test_integrate_with_parameter()

class optimism.test.test_FunctionSpace.TestFunctionSpaceFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_mass_matrix_exactly_integrated()

test_mass_matrix_inexactly_integrated_with_low_order_quadrature()

class optimism.test.test_FunctionSpace.TestFunctionSpaceMultiQuadPointFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_element_volume_multi_point_quadrature()

test_integrate_constant_field_multi_point_quadrature()

test_integrate_linear_field_multi_point_quadrature()

test_integrate_over_half_block()

test_integrate_over_half_block_indices()

test_jit_and_jacrev_on_integration()

test_jit_on_integration()

test_linear_reproducing_multi_point_quadrature()

class optimism.test.test_FunctionSpace.TestFunctionSpaceSingleQuadPointFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_element_volume_single_point_quadrature()

test_integrate_constant_field_single_point_quadrature()

test_integrate_linear_field_single_point_quadrature()

test_linear_reproducing_single_point_quadrature()

optimism.test.test_Interpolants module

class optimism.test.test_Interpolants.TestBubbleInterpolants(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

no_test_plot_shape_functions()

setUp()

Hook method for setting up the test fixture before exercising it.

test_bubble_grad_interpolation()

test_bubble_interpolation()

class optimism.test.test_Interpolants.TestInterpolants(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

no_test_plot_high_order_nodes()

setUp()

Hook method for setting up the test fixture before exercising it.

test_1D_element_element_topological_nodesets()

test_1D_interpolant_points_in_element()

test_grad_interpolation()

test_interpolation()

test_shape_kronecker_delta_property()

test_tri_element_element_topological_nodesets()

test_tri_face_nodes_match_1D_lobatto_nodes()

test_tri_interpolant_points_in_element()

test_tri_shapeGrads_partition_of_unity()

test_tri_shape_partition_of_unity()

optimism.test.test_Interpolants.generate_random_points_in_triangle(npts)

optimism.test.test_JaxConfig module

class optimism.test.test_JaxConfig.TestJaxConfiguration(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

test_debug_infs_is_off()

test_debug_nans_is_off()

test_double_precision_mode_is_on()

test_jit_is_enabled()

optimism.test.test_LinAlg module

class optimism.test.test_LinAlg.TestLinAlg(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_logm_iss_derivatives_on_double_degenerate_eigenvalues()

test_logm_iss_derivatives_on_triple_degenerate_eigenvalues()

test_logm_iss_fwd_mode_derivative()

test_logm_iss_hessian_on_double_degenerate_eigenvalues()

test_logm_iss_jit()

test_logm_iss_on_10x10()

test_logm_iss_on_double_degenerate_eigenvalues()

test_logm_iss_on_full_3x3s()

test_logm_iss_on_matrix_near_identity()

test_logm_iss_on_triple_degenerate_eigvalues()

test_logm_iss_rev_mode_derivative()

test_sqrtm()

test_sqrtm_derivatives_on_10x10()

test_sqrtm_fwd_mode_derivative()

test_sqrtm_jit()

test_sqrtm_on_10x10()

test_sqrtm_on_degenerate_eigenvalues()

test_sqrtm_rev_mode_derivative()

optimism.test.test_LinAlg.generate_n_random_symmetric_matrices(n, minval=0.0, maxval=1.0)

optimism.test.test_Math module

class optimism.test.test_Math.TestMathInnerProduct(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dot2_on_ill_conditioned_inner_product()

test_grad_on_dot2_works()

test_jit_dot2_on_ill_conditioned_inner_product()

test_numpy_dot_fails_badly_on_ill_conditioned_inner_product()

class optimism.test.test_Math.TestMathSum(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_grad_on_sum2_works()

test_numpy_sum_fails_badly_on_ill_conditioned_sum()

test_sum2_jitted_on_ill_conditioned_sum()

test_sum2_on_ill_conditioned_sum()

optimism.test.test_Mechanics module

class optimism.test.test_Mechanics.MechanicsFunctionsFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_internal_variables_initialization_on_multi_block()

test_internal_variables_update_on_multi_block()

optimism.test.test_Mesh module

class optimism.test.test_Mesh.TestSingleMeshFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_conversion_to_quadratic_mesh_is_valid()

test_create_nodesets_from_sidesets()

test_edge_connectivities()

test_edge_to_neighbor_cells_data()

optimism.test.test_Mesh.triangle_inradius(tcoords)

optimism.test.test_MinimizeScalar module

class optimism.test.test_MinimizeScalar.TestMinimizeScalarFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

notest_grad()

notest_jit()

notest_stiff_problem()

setUp()

Hook method for setting up the test fixture before exercising it.

test_does_not_converge_to_saddle_point()

test_solves_quadratic_problem_in_one_iteration()

optimism.test.test_MinimizeScalar.df(x)

Jacobian of f with respect to positional argument(s) 0. Takes the same arguments as f but returns the jacobian of the output with respect to the arguments at positions 0.

optimism.test.test_MinimizeScalar.f(x)

optimism.test.test_Newmark module

class optimism.test.test_Newmark.DynamicPatchTest(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_patch_test()

test_traction_patch_test()

class optimism.test.test_Newmark.DynamicsFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

constant_body_force_potential(Uu, p)

create_field(Uu, p)

get_ubcs()

setUp()

Hook method for setting up the test fixture before exercising it.

set_initial_conditions()

test_compute_kinetic_energy()

test_hessian_matrix_is_symmetric()

test_integration_of_constant_acceleration_is_exact()

test_integration_of_rigid_motion_is_exact()

test_potential()

time_step(Uu, Vu, Au, objective, dt)

optimism.test.test_Objective module

class optimism.test.test_Objective.TestObjective(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

test_param_change()

test_param_change_first_out_of_two()

test_param_change_four_out_of_four()

test_param_change_second_out_of_three()

test_param_change_third_out_of_four()

optimism.test.test_PatchTest module

class optimism.test.test_PatchTest.LinearPatchTestLinearElements(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test()

test_neumann_patch_test()

class optimism.test.test_PatchTest.LinearPatchTestQuadraticElements(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test_with_quadratic_elements()

test_dirichlet_patch_test_with_quadratic_elements_and_constant_jac_projection()

class optimism.test.test_PatchTest.QuadraticPatchTestQuadraticElements(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test_with_quadratic_elements()

optimism.test.test_PatchTestPou module

class optimism.test.test_PatchTestPou.PatchTestQuadraticElements(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

create_polys()

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test_with_quadratic_elements()

write_output(Uu, Ubc, step)

optimism.test.test_PatchTestPou.construct_basis_on_poly(elems, conns, fs: FunctionSpace)

optimism.test.test_PatchTestPou.create_graph(conns)

optimism.test.test_PatchTestPou.create_partitions(conns)

optimism.test.test_PatchTestPou.insort(a, b, kind='mergesort')

optimism.test.test_QuadratureRule module

class optimism.test.test_QuadratureRule.TestQuadratureRules(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

endpoints = (0.0, 1.0)

max_degree_1D = 25

max_degree_2D = 10

test_1D_quadrature_exactness()

test_1D_quadrature_points_in_domain()

test_1D_quadrature_weight_positivity()

test_triangle_quadrature_exactness()

test_triangle_quadrature_points_in_domain()

test_triangle_quadrature_weight_positivity()

optimism.test.test_QuadratureRule.are_inside_unit_interval(points)

optimism.test.test_QuadratureRule.are_positive_weights(QuadratureRuleFactory, degree)

optimism.test.test_QuadratureRule.integrate_2D_monomial_on_triangle(n, m)

optimism.test.test_QuadratureRule.integrate_monomial_on_line(n)

optimism.test.test_QuadratureRule.is_inside_triangle(point)

optimism.test.test_QuadratureRule.map_1d_jac(endpoints)

optimism.test.test_QuadratureRule.map_affine_1D(xi, endpoints)

optimism.test.test_ReadExodusMesh module

class optimism.test.test_ReadExodusMesh.TestMeshReadData(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_all_sets_named()

test_entity_counts()

test_node_set_sizes()

test_side_set_sizes()

class optimism.test.test_ReadExodusMesh.TestMeshReadPatchTest(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test()

class optimism.test.test_ReadExodusMesh.TestMeshReadPropertiesTest(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_bad_property_names()

test_property_mins_and_maxs()

optimism.test.test_ReadMesh module

class optimism.test.test_ReadMesh.TestMeshReadData(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_all_sets_named()

test_entity_counts()

class optimism.test.test_ReadMesh.TestMeshReadPatchTest(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_dirichlet_patch_test()

test_neumann_patch_test()

optimism.test.test_ReadMesh.compute_traction_potential_energy(mesh, U, quadRule, edges, load)

optimism.test.test_ReadMesh.compute_traction_potential_energy_on_edge(mesh, U, quadRule, edge, load)

optimism.test.test_ReadMesh.interpolate_nodal_field_on_edge(mesh, U, quadRule, edge)

optimism.test.test_ScalarRootFinder module

class optimism.test.test_ScalarRootFinder.ScalarRootFindTestFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_find_root()

test_find_root_converges_on_hard_function()

test_find_root_with_forced_bisection_step()

test_find_root_with_jit()

test_root_find_is_differentiable()

test_root_find_with_vmap_and_jit()

test_solves_when_left_bracket_is_solution()

test_solves_when_right_bracket_is_solution()

test_unbracketed_root_gives_nan()

optimism.test.test_ScalarRootFinder.f(x)

optimism.test.test_SmoothFunctions module

class optimism.test.test_SmoothFunctions.TestSmoothFunctions(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

test_inf_grad_min()

test_inf_min()

test_min()

optimism.test.test_SparseMatrix module

class optimism.test.test_SparseMatrix.SparsePatchFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_sparse_matrix_patch_test_dirichlet_BC()

test_sparse_matrix_patch_test_noBC()

test_sparse_matrix_patch_test_traction_BC()

optimism.test.test_SparsePreconditioner module

class optimism.test.test_SparsePreconditioner.SparseCholeskyFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

precond_update_func(matrixScale)

setUp()

Hook method for setting up the test fixture before exercising it.

test_diagonal_backup_preconditioner()

test_indefinite_fixed_by_shift()

test_multiply_by_transpose()

test_sparse_solve()

test_sparse_solve_and_update()

optimism.test.test_Surface module

class optimism.test.test_Surface.TestSingleMeshFixture(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

disable_test_edge_conn()

setUp()

Hook method for setting up the test fixture before exercising it.

test_integrate_function_on_surface_that_uses_coords_and_normal()

test_integrate_perimeter()

test_integrate_quadratic_fn_on_surface()

optimism.test.test_TensorMath module

class optimism.test.test_TensorMath.TensorMathFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_determinant()

test_determinant_precision()

test_detpIm1()

test_eigen_sym33_non_unit()

test_eigen_sym33_non_unit_degenerate_case()

test_exp_symm_at_identity()

test_exp_symm_double_eigs()

test_exp_symm_gradient_distinct_eigenvalues()

test_exp_symm_gradient_double_eigs()

test_exp_symm_gradient_scaled_identity()

test_exp_symm_scaled_identity()

test_log_symm_double_eigs()

test_log_symm_gradient_almost_double_degenerate()

test_log_symm_gradient_distinct_eigenvalues()

test_log_symm_gradient_double_eigs()

test_log_symm_gradient_scaled_identity()

test_log_symm_scaled_identity()

test_pow_symm_double_eigs()

test_pow_symm_gradient_almost_double_degenerate()

test_pow_symm_gradient_distinct_eigenvalues()

test_pow_symm_gradient_double_eigs()

test_pow_symm_gradient_scaled_identity()

test_pow_symm_scaled_identity()

test_right_polar_decomp()

test_sqrt_symm()

test_sqrt_symm_double_eigs()

test_sqrt_symm_gradient_almost_double_degenerate()

test_sqrt_symm_gradient_distinct_eigenvalues()

test_sqrt_symm_gradient_double_eigs()

test_sqrt_symm_gradient_scaled_identity()

test_sqrt_symm_scaled_identity()

optimism.test.test_TensorMath.numerical_grad(f)

optimism.test.test_Traction module

class optimism.test.test_Traction.TractionPatch(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_neumann_patch_test_with_quadratic_elements()

optimism.test.test_TrustRegionSPG module

class optimism.test.test_TrustRegionSPG.TRSPGCauchyPointFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

no_test_trust_region_equation_solver()

setUp()

Hook method for setting up the test fixture before exercising it.

test_cauchy_point_obeys_constraints()

test_cauchy_point_stays_inside_trust_region()

test_cauchy_point_with_active_constraints_achieves_sufficient_decrease()

test_forward_track_search_of_cp_step_length_achieves_sufficient_decrease()

test_projection()

test_unconstrained_cauchy_point_achieves_sufficient_decrease()

class optimism.test.test_TrustRegionSPG.TestProjectionOnBoundary(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_project_onto_tr_function_when_vector_is_inside_tr()

test_project_onto_tr_function_when_vector_is_outside_tr()

class optimism.test.test_TrustRegionSPG.TestSubproblemSolveFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_subproblem_solve_inside_tr()

test_subproblem_solve_on_tr_boundary()

class optimism.test.test_TrustRegionSPG.TestTrustRegionSPGFixture(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

no_test_cgunbound()

setUp()

Hook method for setting up the test fixture before exercising it.

test_trust_region_spg_on_unbounded_problem()

class optimism.test.test_TrustRegionSPG.TestTrustRegionSPGRosenbrock(methodName='runTest')

Bases: TestFixture

_classSetupFailed = False

_class_cleanups = []

no_test_hessian()

no_test_steihaug_on_rosenbrock()

setUp()

Hook method for setting up the test fixture before exercising it.

test_spg_on_rosenbrock()

optimism.test.test_TrustRegionSPG.energy(x, params)

optimism.test.test_TrustRegionSPG.quadratic(x, p)

optimism.test.test_TrustRegionSPG.rosenbrock(x, p)

optimism.test.test_VTKWriter module

class optimism.test.test_VTKWriter.TestVTKWriter(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

baseFileName = 'output'

setUp()

Hook method for setting up the test fixture before exercising it.

tearDown()

Hook method for deconstructing the test fixture after testing it.

test_vtk_no_warning_for_inconsistent_sizes()

test_vtk_write()

class optimism.test.test_VTKWriter.TestVTKWriterHigherOrder(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

baseFileName = 'output'

make_high_order_writer_with_fields(mesh)

setUp()

Hook method for setting up the test fixture before exercising it.

tearDown()

Hook method for deconstructing the test fixture after testing it.

test_vtk_writer_no_inconsistent_sizes_with_cubic_elements()

test_vtk_writer_no_inconsistent_sizes_with_quadratic_elements()

test_vtk_writer_on_cubic_elements()

test_vtk_writer_on_quadratic_elements()

optimism.test.test_VolumeAverageJ module

class optimism.test.test_VolumeAverageJ.TestVolumeAverage(methodName='runTest')

Bases: MeshFixture

_classSetupFailed = False

_class_cleanups = []

setUp()

Hook method for setting up the test fixture before exercising it.

test_constant_J_projection_exact_for_constant_J_field()

test_constant_J_projection_inexact_for_linear_J_field()

test_linear_J_projection_exact_for_constant_J_field()

test_linear_J_projection_exact_for_linear_J_field()

test_linear_J_projection_inexact_for_quadratic_J_field()

Module contents