├── .gitignore ├── LICENSE ├── README.md ├── vox.Force ├── AppDelegate.swift ├── Base.lproj │ └── LaunchScreen.storyboard ├── ContentView.swift ├── Emitter.swift ├── Info.plist ├── MathLibrary.swift ├── Models │ ├── .DS_Store │ ├── Textures │ │ ├── .DS_Store │ │ ├── fire.png │ │ └── snowflake.png │ ├── bunny.obj │ ├── cube.obj │ ├── cup.obj │ ├── dragon.obj │ ├── kCubeTriMesh3x3x3As.obj │ └── kSphereTriMesh5x5.obj ├── Node.swift ├── Particle.metal ├── Particles.swift ├── Preview Content │ └── Preview Assets.xcassets │ │ └── Contents.json ├── RayMarching.metal ├── RayMarching.swift ├── Renderer.swift ├── SceneDelegate.swift ├── advection_solver2.swift ├── advection_solver3.swift ├── advection_solvers_render.swift ├── animation.swift ├── animation_render.swift ├── anisotropic_points_to_implicit2.swift ├── anisotropic_points_to_implicit2_render.swift ├── anisotropic_points_to_implicit3.swift ├── anisotropic_points_to_implicit3_render.swift ├── apic_solver2.metal ├── apic_solver2.swift ├── apic_solver2_render.swift ├── apic_solver3.metal ├── apic_solver3.swift ├── apic_solver3_render.swift ├── array1.swift ├── array2.swift ├── array3.swift ├── array_accessor.metal ├── array_accessor1.metal ├── array_accessor1.swift ├── array_accessor2.metal ├── array_accessor2.swift ├── array_accessor3.metal ├── array_accessor3.swift ├── array_samplers.metal ├── array_samplers1.metal ├── array_samplers1.swift ├── array_samplers2.metal ├── array_samplers2.swift ├── array_samplers3.metal ├── array_samplers3.swift ├── array_utils.metal ├── array_utils_CPU.swift ├── array_utils_GPU.swift ├── array_utils_render.swift ├── bcc_lattice_point_generator.swift ├── blas.swift ├── bounding_box2.swift ├── bounding_box3.swift ├── box2.swift ├── box3.swift ├── bvh2.swift ├── bvh3.swift ├── cell_centered_scalar_grid2.metal ├── cell_centered_scalar_grid2.swift ├── cell_centered_scalar_grid2_impl.metal ├── cell_centered_scalar_grid3.metal ├── cell_centered_scalar_grid3.swift ├── cell_centered_scalar_grid3_impl.metal ├── cell_centered_vector_grid2.metal ├── cell_centered_vector_grid2.swift ├── cell_centered_vector_grid2_impl.metal ├── cell_centered_vector_grid3.metal ├── cell_centered_vector_grid3.swift ├── cell_centered_vector_grid3_impl.metal ├── cg.swift ├── collider2.swift ├── collider3.swift ├── collider_set2.swift ├── collider_set3.swift ├── collocated_vector_grid2.swift ├── collocated_vector_grid3.swift ├── color_utils.swift ├── constant_scalar_field2.metal ├── constant_scalar_field2.swift ├── constant_scalar_field2_impl.metal ├── constant_scalar_field3.metal ├── constant_scalar_field3.swift ├── constant_scalar_field3_impl.metal ├── constant_vector_field2.metal ├── constant_vector_field2.swift ├── constant_vector_field2_impl.metal ├── constant_vector_field3.metal ├── constant_vector_field3.swift ├── constant_vector_field3_impl.metal ├── constants.metal ├── constants.swift ├── cubic_semi_lagrangian2.swift ├── cubic_semi_lagrangian3.swift ├── custom_implicit_surface2.swift ├── custom_implicit_surface3.swift ├── custom_scalar_field2.swift ├── custom_scalar_field3.swift ├── custom_vector_field2.swift ├── custom_vector_field3.swift ├── cylinder3.swift ├── eno_level_set_solver2.swift ├── eno_level_set_solver3.swift ├── face_centered_grid2.metal ├── face_centered_grid2.swift ├── face_centered_grid2_impl.metal ├── face_centered_grid3.metal ├── face_centered_grid3.swift ├── face_centered_grid3_impl.metal ├── fcc_lattice_point_generator.swift ├── fdm_cg_solver2.swift ├── fdm_cg_solver3.swift ├── fdm_gauss_seidel_solver2.metal ├── fdm_gauss_seidel_solver2.swift ├── fdm_gauss_seidel_solver3.metal ├── fdm_gauss_seidel_solver3.swift ├── fdm_iccg_solver2.swift ├── fdm_iccg_solver3.swift ├── fdm_jacobi_solver2.metal ├── fdm_jacobi_solver2.swift ├── fdm_jacobi_solver3.metal ├── fdm_jacobi_solver3.swift ├── fdm_linear_system2.metal ├── fdm_linear_system2.swift ├── fdm_linear_system3.metal ├── fdm_linear_system3.swift ├── fdm_linear_system_solver.swift ├── fdm_matrix_row_type.h ├── fdm_mg_linear_system2.metal ├── fdm_mg_linear_system2.swift ├── fdm_mg_linear_system3.metal ├── fdm_mg_linear_system3.swift ├── fdm_mg_solver2.swift ├── fdm_mg_solver3.swift ├── fdm_mgpcg_solver2.swift ├── fdm_mgpcg_solver3.swift ├── fdm_utils.metal ├── fdm_utils.swift ├── field.swift ├── field_render.swift ├── flip_solver2.metal ├── flip_solver2.swift ├── flip_solver2_render.swift ├── flip_solver3.metal ├── flip_solver3.swift ├── flip_solver3_render.swift ├── fmm_level_set_solver2.swift ├── fmm_level_set_solver3.swift ├── fmm_level_set_solvers_render.swift ├── grid.metal ├── grid2.swift ├── grid3.swift ├── grid_backward_euler_diffusion_solver2.metal ├── grid_backward_euler_diffusion_solver2.swift ├── grid_backward_euler_diffusion_solver3.metal ├── grid_backward_euler_diffusion_solver3.swift ├── grid_blocked_boundary_condition_solver2.swift ├── grid_blocked_boundary_condition_solver3.swift ├── grid_boundary_condition_solver2.swift ├── grid_boundary_condition_solver3.swift ├── grid_boundary_condition_solvers_render.swift ├── grid_diffusion_solver2.swift ├── grid_diffusion_solver3.swift ├── grid_diffusion_solvers_render.swift ├── grid_emitter2.swift ├── grid_emitter3.swift ├── grid_emitter_set2.swift ├── grid_emitter_set3.swift ├── grid_fluid_solver2.metal ├── grid_fluid_solver2.swift ├── grid_fluid_solver3.metal ├── grid_fluid_solver3.swift ├── grid_fluid_solver_render.swift ├── grid_forward_euler_diffusion_solver2.metal ├── grid_forward_euler_diffusion_solver2.swift ├── grid_forward_euler_diffusion_solver3.metal ├── grid_forward_euler_diffusion_solver3.swift ├── grid_fractional_boundary_condition_solver2.swift ├── grid_fractional_boundary_condition_solver3.swift ├── grid_fractional_single_phase_pressure_solver2.metal ├── grid_fractional_single_phase_pressure_solver2.swift ├── grid_fractional_single_phase_pressure_solver3.metal ├── grid_fractional_single_phase_pressure_solver3.swift ├── grid_point_generator2.swift ├── grid_point_generator3.swift ├── grid_pressure_solver2.swift ├── grid_pressure_solver3.swift ├── grid_single_phase_pressure_solver2.metal ├── grid_single_phase_pressure_solver2.swift ├── grid_single_phase_pressure_solver3.metal ├── grid_single_phase_pressure_solver3.swift ├── grid_smoke_solver2.metal ├── grid_smoke_solver2.swift ├── grid_smoke_solver3.metal ├── grid_smoke_solver3.swift ├── grid_smoke_solver_render.swift ├── grid_system_data2.swift ├── grid_system_data3.swift ├── heap.swift ├── hello_fluid_sim.swift ├── implicit_surface2.swift ├── implicit_surface3.swift ├── implicit_surface_set2.swift ├── implicit_surface_set3.swift ├── implicit_triangle_mesh3.swift ├── intersection_query_engine2.swift ├── intersection_query_engine3.swift ├── iterative_level_set_solver2.swift ├── iterative_level_set_solver3.swift ├── iterative_level_set_solvers_render.swift ├── kdtree.swift ├── level_set_liquid_solver2.metal ├── level_set_liquid_solver2.swift ├── level_set_liquid_solver2_render.swift ├── level_set_liquid_solver3.metal ├── level_set_liquid_solver3.swift ├── level_set_liquid_solver3_render.swift ├── level_set_solver2.swift ├── level_set_solver3.swift ├── level_set_utils.metal ├── level_set_utils.swift ├── line_shader.metal ├── list_query_engine2.swift ├── list_query_engine3.swift ├── macros.h ├── marching_cubes.swift ├── marching_cubes_render.swift ├── marching_cubes_table.swift ├── marching_squares_table.swift ├── math_utils.metal ├── math_utils.swift ├── matrix2x2.swift ├── matrix3x3.swift ├── matrix4x4.swift ├── mg.swift ├── nearest_neighbor_query_engine2.swift ├── nearest_neighbor_query_engine3.swift ├── octree.swift ├── parallel.swift ├── particle_emitter2.swift ├── particle_emitter3.swift ├── particle_emitter_set2.swift ├── particle_emitter_set3.swift ├── particle_system_data2.swift ├── particle_system_data3.swift ├── particle_system_solver2.metal ├── particle_system_solver2.swift ├── particle_system_solver2_render.swift ├── particle_system_solver3.metal ├── particle_system_solver3.swift ├── particle_system_solver3_render.swift ├── pci_sph_solver2.metal ├── pci_sph_solver2.swift ├── pci_sph_solver2_render.swift ├── pci_sph_solver3.metal ├── pci_sph_solver3.swift ├── pci_sph_solver3_render.swift ├── pde.swift ├── physics_animation.swift ├── physics_animation_render.swift ├── physics_helpers.metal ├── physics_helpers.swift ├── pic_solver2.metal ├── pic_solver2.swift ├── pic_solver2_render.swift ├── pic_solver3.metal ├── pic_solver3.swift ├── pic_solver3_render.swift ├── plane2.swift ├── plane3.swift ├── point2.swift ├── point3.swift ├── point_generator2.swift ├── point_generator3.swift ├── point_hash_grid_searcher2.swift ├── point_hash_grid_searcher3.swift ├── point_hash_grid_searchers_render.swift ├── point_neighbor_searcher2.swift ├── point_neighbor_searcher3.swift ├── point_parallel_hash_grid_searcher2.swift ├── point_parallel_hash_grid_searcher3.swift ├── point_particle_emitter2.swift ├── point_particle_emitter3.swift ├── point_shader.metal ├── point_simple_list_searcher2.swift ├── point_simple_list_searcher3.swift ├── points_to_implicit2.swift ├── points_to_implicit3.swift ├── priority_queue.swift ├── quadtree.swift ├── quaternion.swift ├── ray2.swift ├── ray3.swift ├── renderable.swift ├── rigid_body_collider2.swift ├── rigid_body_collider3.swift ├── samplers.swift ├── scalar_field2.swift ├── scalar_field3.swift ├── scalar_grid2.swift ├── scalar_grid3.swift ├── semi_lagrangian2.swift ├── semi_lagrangian3.swift ├── size2.swift ├── size3.swift ├── sph_kernels2.metal ├── sph_kernels2.swift ├── sph_kernels2_impl.metal ├── sph_kernels3.metal ├── sph_kernels3.swift ├── sph_kernels3_impl.metal ├── sph_kernels_render.swift ├── sph_points_to_implicit2.swift ├── sph_points_to_implicit2_render.swift ├── sph_points_to_implicit3.swift ├── sph_points_to_implicit3_render.swift ├── sph_solver2.metal ├── sph_solver2.swift ├── sph_solver2_render.swift ├── sph_solver3.metal ├── sph_solver3.swift ├── sph_solver3_render.swift ├── sph_system_data2.swift ├── sph_system_data2_render.swift ├── sph_system_data3.swift ├── sph_system_data3_render.swift ├── sphere2.swift ├── sphere3.swift ├── spherical_points_to_implicit2.swift ├── spherical_points_to_implicit2_render.swift ├── spherical_points_to_implicit3.swift ├── spherical_points_to_implicit3_render.swift ├── stack.swift ├── surface2.swift ├── surface3.swift ├── surface_set2.swift ├── surface_set3.swift ├── surface_to_implicit2.swift ├── surface_to_implicit3.swift ├── svd.swift ├── transform2.swift ├── transform3.swift ├── triangle3.swift ├── triangle_mesh3.swift ├── triangle_mesh3_render.swift ├── triangle_mesh_to_sdf.swift ├── triangle_mesh_to_sdf_render.swift ├── triangle_point_generator.swift ├── upwind_level_set_solver2.swift ├── upwind_level_set_solver3.swift ├── vector2.swift ├── vector3.swift ├── vector4.swift ├── vector_field2.swift ├── vector_field3.swift ├── vector_grid2.swift ├── vector_grid3.swift ├── vertex_centered_scalar_grid2.metal ├── vertex_centered_scalar_grid2.swift ├── vertex_centered_scalar_grid2_impl.metal ├── vertex_centered_scalar_grid3.metal ├── vertex_centered_scalar_grid3.swift ├── vertex_centered_scalar_grid3_impl.metal ├── vertex_centered_vector_grid2.metal ├── vertex_centered_vector_grid2.swift ├── vertex_centered_vector_grid2_impl.metal ├── vertex_centered_vector_grid3.metal ├── vertex_centered_vector_grid3.swift ├── vertex_centered_vector_grid3_impl.metal ├── volume_grid_emitter2.swift ├── volume_grid_emitter3.swift ├── volume_particle_emitter2.swift ├── volume_particle_emitter3.swift ├── volume_particle_emitters_render.swift ├── zhu_bridson_points_to_implicit2.swift ├── zhu_bridson_points_to_implicit2_render.swift ├── zhu_bridson_points_to_implicit3.swift └── zhu_bridson_points_to_implicit3_render.swift ├── vox.ForceTests ├── Info.plist ├── animation_tests.swift ├── apic_solver2_tests.swift ├── apic_solver3_tests.swift ├── array1_tests.swift ├── array2_tests.swift ├── array3_tests.swift ├── array_accessor1_GPU_tests.metal ├── array_accessor1_GPU_tests.swift ├── array_accessor1_tests.swift ├── array_accessor2_GPU_tests.metal ├── array_accessor2_GPU_tests.swift ├── array_accessor2_tests.swift ├── array_accessor3_GPU_tests.metal ├── array_accessor3_GPU_tests.swift ├── array_accessor3_tests.swift ├── array_samplers_GPU_tests.metal ├── array_samplers_GPU_tests.swift ├── array_samplers_tests.swift ├── array_utils_tests.swift ├── blas_tests.swift ├── bounding_box2_tests.swift ├── bounding_box3_tests.swift ├── box2_tests.swift ├── box3_tests.swift ├── bridge_tests.swift ├── bvh2_tests.swift ├── bvh3_tests.swift ├── cell_centered_scalar_grid2_tests.swift ├── cell_centered_scalar_grid3_tests.swift ├── cell_centered_vector_grid2_tests.swift ├── cell_centered_vector_grid3_tests.swift ├── cg_tests.swift ├── collider_set2_tests.swift ├── collider_set3_tests.swift ├── constants_test.swift ├── custom_implicit_surface2_tests.swift ├── custom_implicit_surface3_tests.swift ├── cylinder3_tests.swift ├── face_centered_grid2_tests.swift ├── face_centered_grid3_tests.swift ├── fdm_cg_solver2_tests.swift ├── fdm_cg_solver3_tests.swift ├── fdm_gauss_seidel_solver2_tests.swift ├── fdm_gauss_seidel_solver3_tests.swift ├── fdm_iccg_solver2_tests.swift ├── fdm_iccg_solver3_tests.swift ├── fdm_jacobi_solver2_tests.swift ├── fdm_jacobi_solver3_tests.swift ├── fdm_linear_system_solver_test_helper2.swift ├── fdm_linear_system_solver_test_helper3.swift ├── fdm_mg_linear_system2_tests.swift ├── fdm_mg_solver2_tests.swift ├── fdm_mg_solver3_tests.swift ├── fdm_mgpcg_solver2_tests.swift ├── fdm_mgpcg_solver3_tests.swift ├── fdm_utils_tests.swift ├── flip_solver2_tests.swift ├── flip_solver3_tests.swift ├── grid_backward_diffusion_solver2_tests.swift ├── grid_backward_diffusion_solver3_tests.swift ├── grid_blocked_boundary_condition_solver2_tests.swift ├── grid_blocked_boundary_condition_solver3_tests.swift ├── grid_emitter2_tests.swift ├── grid_emitter3_tests.swift ├── grid_fluid_solver2_tests.swift ├── grid_fluid_solver3_tests.swift ├── grid_forward_diffusion_solver2_tests.swift ├── grid_forward_diffusion_solver3_tests.swift ├── grid_fractional_boundary_condition_solver2_tests.swift ├── grid_fractional_boundary_condition_solver3_tests.swift ├── grid_fractional_single_phase_pressure_solver2_tests.swift ├── grid_fractional_single_phase_pressure_solver3_tests.swift ├── grid_single_phase_pressure_solver2_tests.swift ├── grid_single_phase_pressure_solver3_tests.swift ├── grid_system_data2_tests.swift ├── grid_system_data3_tests.swift ├── implicit_surface_set2_tests.swift ├── implicit_surface_set3_tests.swift ├── implicit_triangle_mesh3_tests.swift ├── level_set_liquid_solvers_tests.swift ├── level_set_solvers_tests.swift ├── list_query_engine2_tests.swift ├── list_query_engine3_tests.swift ├── marching_cubes_tests.swift ├── matrix2x2_tests.swift ├── matrix3x3_tests.swift ├── matrix4x4_tests.swift ├── octree_tests.swift ├── particle_system_data2_tests.swift ├── particle_system_data3_tests.swift ├── particle_system_solvers_tests.swift ├── pci_sph_solver2_tests.swift ├── pci_sph_solver3_tests.swift ├── pde_tests.swift ├── physics_animation_tests.swift ├── pic_solver2_tests.swift ├── pic_solver3_tests.swift ├── plane2_tests.swift ├── plane3_tests.swift ├── point2_tests.swift ├── point3_tests.swift ├── point_hash_grid_searcher2_tests.swift ├── point_hash_grid_searcher3_tests.swift ├── point_parallel_hash_grid_searcher2_tests.swift ├── point_parallel_hash_grid_searcher3_tests.swift ├── point_particle_emitter2_tests.swift ├── point_particle_emitter3_tests.swift ├── point_simple_list_searcher2_tests.swift ├── point_simple_list_searcher3_tests.swift ├── quadtree_tests.swift ├── quaternion_tests.swift ├── ray2_tests.swift ├── ray3_tests.swift ├── read_write_tests.swift ├── rigid_body_collider2_tests.swift ├── rigid_body_collider3_tests.swift ├── samplers_tests.swift ├── sph_kernels2_tests.swift ├── sph_kernels3_tests.swift ├── sph_solver2_tests.metal ├── sph_solver2_tests.swift ├── sph_solver3_tests.swift ├── sph_system_data2_tests.swift ├── sph_system_data3_tests.swift ├── sphere2_tests.swift ├── sphere3_tests.swift ├── surface_set2_tests.swift ├── surface_set3_tests.swift ├── surface_to_implicit2_tests.swift ├── surface_to_implicit3_tests.swift ├── transform2_tests.swift ├── transform3_tests.swift ├── triangle3_tests.swift ├── triangle_mesh3_tests.swift ├── triangle_mesh_to_sdf_tests.swift ├── unit_tests_utils.swift ├── vector2_tests.swift ├── vector3_tests.swift ├── vector4_tests.swift ├── vertex_centered_scalar_grid2_tests.swift ├── vertex_centered_scalar_grid3_tests.swift ├── vertex_centered_vector_grid2_tests.swift ├── vertex_centered_vector_grid3_tests.swift ├── volume_particle_emitter2_tests.swift ├── 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