From 345d90934bb5ad6da5291ff0d0b3867681b82206 Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 28 Aug 2022 00:59:54 +0900 Subject: [PATCH 01/26] raise internal version --- pyproject.toml | 2 +- sphinx/conf.py | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index 21bfab2..5b5a9d8 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,6 +1,6 @@ [tool.poetry] name = "femio" -version = "0.3.2" +version = "0.3.3" description = "FEM I/O Tool" authors = ["RICOS Co. Ltd."] readme = "README.md" diff --git a/sphinx/conf.py b/sphinx/conf.py index a4dd4df..f61fb38 100644 --- a/sphinx/conf.py +++ b/sphinx/conf.py @@ -53,7 +53,7 @@ def __call__(self, block, block_vars, gallery_conf): author = 'RICOS Co. Ltd.' # The full version, including alpha/beta/rc tags -release = '0.3.2' +release = '0.3.3' # -- General configuration --------------------------------------------------- From e752105efac402a28c2eb045008b9542bf61b862 Mon Sep 17 00:00:00 2001 From: horiem Date: Thu, 1 Sep 2022 20:19:38 +0900 Subject: [PATCH 02/26] add test data --- tests/data/vtu/voxel/mesh.vtu | 39 +++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 tests/data/vtu/voxel/mesh.vtu diff --git a/tests/data/vtu/voxel/mesh.vtu b/tests/data/vtu/voxel/mesh.vtu new file mode 100644 index 0000000..ba3567d --- /dev/null +++ b/tests/data/vtu/voxel/mesh.vtu @@ -0,0 +1,39 @@ + + + + + + -2 -2 -5 + -1 -2 -5 + -2 -1 -5 + -1 -1 -5 + -2 -2 -4.5 + -1 -2 -4.5 + -2 -1 -4.5 + -1 -1 -4.5 + 0 -2 -5 + 0 -1 -5 + 0 -2 -4.5 + 0 -1 -4.5 + -1 0 -5 + 0 0 -5 + -1 0 -4.5 + 0 0 -4.5 + + + + + 0 1 2 3 4 5 6 7 + 1 8 3 9 5 10 7 11 + 3 9 13 12 7 11 15 14 + + + 8 16 24 + + + 11 11 12 + + + + + From 86253b3eb60ffe4cf9fd84a8f5c592f7e32b1abd Mon Sep 17 00:00:00 2001 From: horiem Date: Thu, 1 Sep 2022 20:19:57 +0900 Subject: [PATCH 03/26] update to support voxel --- femio/config.py | 1 + femio/io.py | 26 ++++++++++++++++++++++++++ tests/format/polyvtk/test_polyvtk.py | 19 +++++++++++++++++++ 3 files changed, 46 insertions(+) diff --git a/femio/config.py b/femio/config.py index 0dc7bd2..8eb7d26 100644 --- a/femio/config.py +++ b/femio/config.py @@ -192,6 +192,7 @@ DICT_VTK_ID_TO_ELEMENT_TYPE = { 10: 'tet', + 11: 'voxel', 12: 'hex', 13: 'prism', 14: 'pyr', diff --git a/femio/io.py b/femio/io.py index 034afa3..4a3f92c 100644 --- a/femio/io.py +++ b/femio/io.py @@ -65,6 +65,7 @@ def convert_vtk_unstructured_to_femio(mesh): data=stack_if_needed( t, element_connectivities[cell_types == t]) + 1) for t in unique_cell_types} + update_voxel2hex_if_needed(elements_data) elements = FEMElementalAttribute('ELEMENT', elements_data) obj = FEMData(nodes=nodes, elements=elements) @@ -112,6 +113,31 @@ def convert_vtk_unstructured_to_femio(mesh): return obj +def update_voxel2hex_if_needed(elements_data): + if 'voxel' not in elements_data: + return elements_data + voxel = elements_data.pop('voxel') + d = voxel.data + + ids = voxel.ids + data = np.stack([ + d[:, 0], + d[:, 1], + d[:, 3], + d[:, 2], + d[:, 4], + d[:, 5], + d[:, 7], + d[:, 6], + ], axis=-1) + if 'hex' in elements_data: + ids = np.concatenate([elements_data['hex'].ids, ids]) + data = np.concatenate([elements_data['hex'].data, data]) + + elements_data.update({'hex': FEMAttribute(name='hex', ids=ids, data=data)}) + return + + def convert_to_2d_if_needed(x): if len(x.shape) == 1: return x[:, None] diff --git a/tests/format/polyvtk/test_polyvtk.py b/tests/format/polyvtk/test_polyvtk.py index 8b0f931..26ba8bd 100644 --- a/tests/format/polyvtk/test_polyvtk.py +++ b/tests/format/polyvtk/test_polyvtk.py @@ -247,3 +247,22 @@ def test_read_vtk_pyramid(self): np.testing.assert_almost_equal( volumes[[3, 1, 2, 0]], vtk_fem_data.calculate_element_volumes(linear=True)) + + def test_read_vtk_voxel(self): + file_name = pathlib.Path('tests/data/vtu/voxel/mesh.vtu') + fem_data = FEMData.read_files('polyvtk', [file_name]) + + volumes = fem_data.calculate_element_volumes(linear=True) + np.testing.assert_almost_equal(volumes, .5) + write_file_name = 'tests/data/vtu/write_voxel/mesh.vtu' + fem_data.write( + 'polyvtk', write_file_name, overwrite=True) + written_fem_data = FEMData.read_files('polyvtk', write_file_name) + np.testing.assert_array_equal( + written_fem_data.elements.data - 1, + np.array([ + [3, 9, 13, 12, 7, 11, 15, 14], # Original hex comes first + [0, 1, 3, 2, 4, 5, 7, 6], + [1, 8, 9, 3, 5, 10, 11, 7], + ]) + ) From e745da38d2560118325076469adb64ee47578f9f Mon Sep 17 00:00:00 2001 From: horiem Date: Wed, 23 Nov 2022 15:11:44 +0900 Subject: [PATCH 04/26] add test data --- tests/data/vtp/curved/mesh.vtp | 54 ++++++++++++++++++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 tests/data/vtp/curved/mesh.vtp diff --git a/tests/data/vtp/curved/mesh.vtp b/tests/data/vtp/curved/mesh.vtp new file mode 100644 index 0000000..46138ba --- /dev/null +++ b/tests/data/vtp/curved/mesh.vtp @@ -0,0 +1,54 @@ + + + + + + +0 + + + + + + 0.0 0.0 0.0 + 1.0 0.0 0.01 + 1.0 0.0 0.0 + 0.0 1.0 0.0 + 0.0 1.0 0.01 + + + + + 0 1 2 3 4 + + + 5 + + + + + 0.0 + + + 0.0 0.0 3.0 + + + + + 0.0 + 1.0 + 1.5 + 1.0 + 1.0 + + + 0.0 0.0 0.0 + 0.0 0.0 1.0 + 0.5 0.0 1.5 + 1.0 0.0 1.0 + 1.0 0.0 1.0 + + + + + From 44d768c5205f5bbacfec27a0bf87f13ed95de377 Mon Sep 17 00:00:00 2001 From: horiem Date: Wed, 23 Nov 2022 15:12:02 +0900 Subject: [PATCH 05/26] update polygon normal computation --- femio/geometry_processor.py | 8 ++++---- tests/test_geometry_processor.py | 15 +++++++++++++++ 2 files changed, 19 insertions(+), 4 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 5a74555..7fb9da3 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -526,13 +526,13 @@ def _calculate_quad_normals(self, elements): return vectors def _calculate_polygon_normals(self, elements): - vectors = np.stack([ - self._calculate_polygon_normal(e) for e in elements.data], axis=0) + vectors = functions.normalize(np.stack([ + self._calculate_polygon_cross(e) for e in elements.data], axis=0)) return vectors - def _calculate_polygon_normal(self, element): + def _calculate_polygon_cross(self, element): triangle_elements = self._trianglate_polygon(element) - return np.mean(self._calculate_tri_normals(triangle_elements), axis=0) + return np.mean(self._calculate_tri_crosses(triangle_elements), axis=0) def _trianglate_polygon(self, element): n_points = len(element) diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index dbcf29d..71afe0a 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -462,6 +462,21 @@ def test_calculate_elementl_normals_polygon(self): ]) np.testing.assert_almost_equal(normals, desired_normals) + def test_calculate_elementl_normals_curved_polygon(self): + data_directory = pathlib.Path('tests/data/vtp/curved') + fem_data = FEMData.read_directory( + 'vtp', data_directory, read_npy=False, save=False) + normals = fem_data.calculate_element_normals() + + desired_normals = np.array([ + [0., 0., 1.], + ]) + np.testing.assert_almost_equal(normals, desired_normals, decimal=2) + + normal_norms = np.linalg.norm(normals, axis=1) + desired_normal_norms = np.array([1.]) + np.testing.assert_almost_equal(normal_norms, desired_normal_norms) + def test_calculate_elemental_normals_mixed_polygon(self): data_directory = pathlib.Path('tests/data/vtp/closed') fem_data = FEMData.read_directory( From 90b6badbc6eafba487a19c3a0895d90a20a4e363 Mon Sep 17 00:00:00 2001 From: maspypy Date: Wed, 30 Nov 2022 15:24:10 +0900 Subject: [PATCH 06/26] add test data --- femio/formats/obj/obj.py | 18 +++++++++++++----- femio/formats/obj/write_obj.py | 20 +++++++++----------- tests/data/obj/polygon/polygon.obj | 19 +++++++++++++++++++ tests/format/obj/test_obj.py | 21 +++++++++++++++++++++ tests/format/obj/test_write_obj.py | 20 ++++++++++++++++++++ 5 files changed, 82 insertions(+), 16 deletions(-) create mode 100644 tests/data/obj/polygon/polygon.obj diff --git a/femio/formats/obj/obj.py b/femio/formats/obj/obj.py index 9549199..5c64694 100644 --- a/femio/formats/obj/obj.py +++ b/femio/formats/obj/obj.py @@ -58,12 +58,20 @@ def read_elements(self, string_series): for s in str_element_data], dtype=object) element_ids = np.arange(len(element_data), dtype=int) + 1 lengths = np.array([len(e) for e in element_data]) - unique_lengths = np.unique(lengths) - elements = { - self.DICT_LENGTH2TYPE[length]: - self.extract_elements(element_ids, element_data, lengths, length) - for length in unique_lengths} + keys = list(self.DICT_LENGTH2TYPE.keys()) + is_polygon = ~np.isin(lengths, keys) + + elements = {} + for length in keys: + if np.all(lengths != length): + continue + elements[self.DICT_LENGTH2TYPE[length]] = self.extract_elements( + element_ids, element_data, lengths, length) + if np.any(is_polygon): + elements['polygon'] = FEMAttribute( + 'polygon', element_ids[is_polygon], element_data[is_polygon] + ) return FEMElementalAttribute('ELEMENT', elements) def extract_elements(self, element_ids, element_data, lengths, length): diff --git a/femio/formats/obj/write_obj.py b/femio/formats/obj/write_obj.py index 8849316..2991550 100644 --- a/femio/formats/obj/write_obj.py +++ b/femio/formats/obj/write_obj.py @@ -1,4 +1,3 @@ - import pandas as pd @@ -21,7 +20,7 @@ def write(self, file_name=None, *, overwrite=False): # Node n_node = len(self.fem_data.nodes.ids) f.write(pd.DataFrame( - index=['v']*n_node, data=self.fem_data.nodes.data + index=['v'] * n_node, data=self.fem_data.nodes.data ).to_csv(sep=' ', header=False, na_rep='NaN')) surface_indices, _ \ @@ -29,14 +28,13 @@ def write(self, file_name=None, *, overwrite=False): if isinstance(surface_indices, dict): # Mixed elements for v in surface_indices.values(): - n_element = len(v) - f.write(pd.DataFrame( - index=['f']*n_element, data=v+1 - ).to_csv(sep=' ', header=False, na_rep='NaN')) + row_strings = [ + "f " + " ".join(str(x + 1) for x in row) + for row in v.tolist()] + f.write("\n".join(row_strings) + "\n") else: - n_element = len(surface_indices) - f.write(pd.DataFrame( - index=['f']*n_element, data=surface_indices+1 - ).to_csv(sep=' ', header=False, na_rep='NaN')) - + row_strings = [ + "f " + " ".join(str(x + 1) for x in row) + for row in surface_indices.tolist()] + f.write("\n".join(row_strings) + "\n") return file_name diff --git a/tests/data/obj/polygon/polygon.obj b/tests/data/obj/polygon/polygon.obj new file mode 100644 index 0000000..7cd65a8 --- /dev/null +++ b/tests/data/obj/polygon/polygon.obj @@ -0,0 +1,19 @@ +v 1.0 0.0 0.0 +v 2.0 0.0 0.0 +v 5.0 0.0 0.0 +v 6.0 0.0 0.0 +v 0.0 1.0 0.0 +v 3.0 1.0 0.0 +v 4.0 1.0 0.0 +v 8.0 1.0 0.0 +v 0.0 2.0 0.0 +v 3.0 2.0 0.0 +v 4.0 2.0 0.0 +v 8.0 2.0 0.0 +v 1.0 3.0 0.0 +v 2.0 3.0 0.0 +v 5.0 3.0 0.0 +v 6.0 3.0 0.0 +f 6 7 11 10 +f 1 2 6 10 14 13 9 5 +f 3 4 8 12 16 15 11 7 diff --git a/tests/format/obj/test_obj.py b/tests/format/obj/test_obj.py index df79a9c..278719a 100644 --- a/tests/format/obj/test_obj.py +++ b/tests/format/obj/test_obj.py @@ -43,3 +43,24 @@ def test_obj(self): [1, 2, 3, 4], [3, 6, 7, 4], ])) + + def test_obj_polygon(self): + fem_data = FEMData.read_files( + 'obj', 'tests/data/obj/polygon/polygon.obj') + + np.testing.assert_array_equal( + fem_data.elements.ids, np.array([1, 2, 3])) + + np.testing.assert_array_equal( + fem_data.elements['quad'].data, + np.array([ + [6, 7, 11, 10] + ])) + np.testing.assert_array_equal( + fem_data.elements['polygon'].data[0], + [1, 2, 6, 10, 14, 13, 9, 5] + ) + np.testing.assert_array_equal( + fem_data.elements['polygon'].data[1], + [3, 4, 8, 12, 16, 15, 11, 7] + ) diff --git a/tests/format/obj/test_write_obj.py b/tests/format/obj/test_write_obj.py index 9a3bba4..a87d909 100644 --- a/tests/format/obj/test_write_obj.py +++ b/tests/format/obj/test_write_obj.py @@ -51,3 +51,23 @@ def test_write_obj_mixture_shell(self): np.testing.assert_almost_equal( fem_data.nodes.data, obj_fem_data.nodes.data) + + def test_write_obj_polygon(self): + fem_data = FEMData.read_files( + 'vtu', 'tests/data/vtu/polyhedron/polyhedron.vtu') + fem_data = fem_data.to_surface() + write_file_name = 'tests/data/obj/write/mesh.obj' + if os.path.exists(write_file_name): + os.remove(write_file_name) + fem_data.write('obj', write_file_name) + + obj_fem_data = FEMData.read_files( + 'obj', write_file_name) + np.testing.assert_almost_equal( + fem_data.nodes.data, + obj_fem_data.nodes.data) + for i in range(len(fem_data.elements.data)): + np.testing.assert_array_equal( + fem_data.elements.data[i], + obj_fem_data.elements.data[i], + ) From 4b175e2363afd210c0748a6539400e96c209a95a Mon Sep 17 00:00:00 2001 From: horiem Date: Tue, 21 Feb 2023 19:06:24 +0900 Subject: [PATCH 07/26] anable surface writing for VTU --- femio/config.py | 3 +++ tests/format/polyvtk/test_write_polyvtk.py | 18 ++++++++++++++++++ 2 files changed, 21 insertions(+) diff --git a/femio/config.py b/femio/config.py index 8eb7d26..260a017 100644 --- a/femio/config.py +++ b/femio/config.py @@ -190,7 +190,10 @@ 'vtk': 'vtk', } +# https://vtk.org/doc/nightly/html/vtkCellType_8h_source.html DICT_VTK_ID_TO_ELEMENT_TYPE = { + 5: 'tri', + 9: 'quad', 10: 'tet', 11: 'voxel', 12: 'hex', diff --git a/tests/format/polyvtk/test_write_polyvtk.py b/tests/format/polyvtk/test_write_polyvtk.py index 6ccfa66..05c2fb8 100644 --- a/tests/format/polyvtk/test_write_polyvtk.py +++ b/tests/format/polyvtk/test_write_polyvtk.py @@ -202,3 +202,21 @@ def test_read_write_npy_directory(self): np.testing.assert_almost_equal(ae[0], np.sort(de[0])) np.testing.assert_almost_equal(ae[1], de[2]) np.testing.assert_almost_equal(ae[2], de[1]) + + def test_read_stl_write_vtu(self): + file_name = pathlib.Path('tests/data/stl/binary/out.stl') + write_file_name = pathlib.Path( + 'tests/data/vtu/write_stl/mesh.vtu') + if write_file_name.exists(): + shutil.rmtree(write_file_name.parent) + fem_data = FEMData.read_files('stl', file_name) + fem_data.write('vtu', write_file_name) + + def test_read_obj_write_vtu(self): + file_name = pathlib.Path('tests/data/obj/mixture_graph/mesh.obj') + write_file_name = pathlib.Path( + 'tests/data/vtu/write_obj/mesh.vtu') + if write_file_name.exists(): + shutil.rmtree(write_file_name.parent) + fem_data = FEMData.read_files('obj', file_name) + fem_data.write('vtu', write_file_name) From 4d6a8a46c2653d7d6278c5027ab3a2cbd481d1cf Mon Sep 17 00:00:00 2001 From: maspypy Date: Fri, 21 Apr 2023 04:56:33 +0900 Subject: [PATCH 08/26] centroid area, normal, volume --- femio/geometry_processor.py | 266 +++++++++++++++++++++++++++---- tests/test_geometry_processor.py | 69 ++++---- 2 files changed, 275 insertions(+), 60 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 7fb9da3..e1c5ef0 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -11,7 +11,7 @@ class GeometryProcessorMixin: def calculate_element_areas( - self, *, linear=False, raise_negative_area=False, + self, *, mode="centroid", raise_negative_area=False, return_abs_area=True, elements=None, element_type=None, update=True): """Calculate areas of each element assuming that the geometry of @@ -21,10 +21,13 @@ def calculate_element_areas( Parameters ---------- - linear: bool, optional [False] - If False, areas are calculated by gaussian integral. - If True, areas are calculated under the assumption that + mode: str, optional ["centroid"] + If "gaussian", areas are calculated by gaussian integral. + If "linear", areas are calculated under the assumption that all elements is linear, and it runs a bit faster. + If "centroid", areas are calculated by decomposing it into + triangles at centroid. Therefore, the result doesn't depend on + the node labels. raise_negative_area: bool, optional [False] If True, raise ValueError when negative area exists. return_abs_area: bool, optional [True] @@ -54,12 +57,20 @@ def calculate_element_areas( if element_type in ['tri']: areas = self._calculate_element_areas_tri(elements) elif element_type in ['quad']: - if linear: + if mode == "linear": areas = self._calculate_element_areas_quad(elements) - else: + elif mode == "gaussian": areas = self._calculate_element_areas_quad_gaussian(elements) + elif mode == "centroid": + areas = self._calculate_element_areas_quad_centroid(elements) + else: + raise ValueError("Unknown mode") elif element_type in ['polygon']: - areas = self._calculate_element_areas_polygon(elements) + if mode == "centroid": + areas = self._calculate_element_areas_polygon(elements) + else: + areas = self._calculate_element_areas_polygon_centroid( + elements) elif element_type in ['mix']: areas = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -134,6 +145,20 @@ def J21(xi, eta): res /= 16 return res.reshape(-1, 1) + def _calculate_element_areas_quad_centroid(self, elements): + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p = (p0 + p1 + p2 + p3) / 4 + v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p + cross_0 = np.cross(v0, v1) + cross_1 = np.cross(v1, v2) + cross_2 = np.cross(v2, v3) + cross_3 = np.cross(v3, v0) + normals = sum([cross_0, cross_1, cross_2, cross_3]) + return np.linalg.norm(normals, axis=1, keepdims=True) * 0.5 + def _calculate_element_areas_polygon(self, elements): areas = np.stack([ self._calculate_element_area_polygon(e) @@ -145,6 +170,24 @@ def _calculate_element_area_polygon(self, element): return np.linalg.norm(np.sum( self._calculate_tri_crosses(triangle_elements), axis=0)) * .5 + def _calculate_element_areas_polygon_centroid(self, elements): + areas = np.stack([ + self._calculate_element_area_polygon_centroid(e) + for e in elements.data], axis=0)[..., None] + return areas + + def _calculate_element_area_polygon_centroid(self, element): + points = self.collect_node_positions_by_ids(element) + n = len(points) + p = points.mean(axis=0) + n = len(points) + normal = np.zeros(3, np.float32) + for i in range(n): + v1 = points[i - 1] - p + v2 = points[i] - p + normal += np.cross(v1, v2) + return np.linalg.norm(normal) * 0.5 + def _calculate_element_volumes_hex_gaussian(self, elements): element_data = elements.data x0, y0, z0 = self.collect_node_positions_by_ids(element_data[:, 0]).T @@ -208,7 +251,7 @@ def J2(xi, eta, zeta): res -= J00 * J21 * J12 + J10 * J01 * J22 + J20 * J11 * J02 return res.reshape(-1, 1) / 512 - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_edge_lengths(self): """Calculate edge lengths of each element. Calculated lengths are returned and also stored in @@ -241,7 +284,7 @@ def _calculate_edge_lengths_polygon(self, elements): return edge_lengths - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_angles(self): """Calculate angles of each element. Calculated angles are returned and also stored in @@ -276,7 +319,7 @@ def _calculate_angles_polygon(self, elements): return angles - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_jacobians(self): """Calculate jacobians of each element. Calculated jacobians are returned and also stored in @@ -315,7 +358,7 @@ def projection(p): cross = np.cross(vector1, vector2) return np.linalg.norm(cross, axis=1) - @functools.lru_cache(maxsize=2) + @ functools.lru_cache(maxsize=2) def calculate_surface_normals(self, mode='mean'): """Calculate nodal normal vectors of the surface of a solid mesh. If an node is not on the surface, the vector will be zero. @@ -336,8 +379,7 @@ def calculate_surface_normals(self, mode='mean'): surface_normals, mode=mode), keep_zeros=True) nodal_normals = FEMAttribute( 'normal', self.nodes.ids, np.zeros((len(self.nodes.ids), 3))) - nodal_normals.loc[surface_fem_data.nodes.ids].data\ - = surface_nodal_normals + nodal_normals.loc[surface_fem_data.nodes.ids].data = surface_nodal_normals self.nodal_data.update({'normal': nodal_normals}) return nodal_normals.data @@ -392,7 +434,7 @@ def calculate_normal_incidence_matrix(self): signed_incidence_data, (coo.row, coo.col))) return facet_data, signed_incidence, facet_normals - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_all_element_normals(self, facet_data=None): """Calculate normal vectors of each elements. If the elements are solid, then multiple normal vectors per solid will be generated. @@ -418,14 +460,19 @@ def calculate_all_element_normals(self, facet_data=None): return np.reshape( normals, (len(self.elements), n_facet_per_element, 3)) - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_element_normals( - self, elements=None, element_type=None, update=True): + self, mode="centroid", elements=None, element_type=None, + update=True): """Calculate normal vectors of each shell elements. Please note that the calculated normal may not be aligned with neighbor elements. To make vector field smooth, use femio.extract_direction_feature() method. Args: + mode: str, optional ["centroid"] + If "centroid", normal vectors are calculated by decomposing + it into triangles at centroid. Therefore, the result doesn't + depend on the node labels. Returns: normals: numpy.ndarray (n_element, 3)-shaped array. @@ -434,13 +481,18 @@ def calculate_element_normals( elements = self.elements if element_type is None: element_type = self.elements.element_type - if element_type in ['tri']: normals = self._calculate_tri_normals(elements) elif element_type in ['quad']: - normals = self._calculate_quad_normals(elements) + if mode == "centroid": + normals = self._calculate_quad_normals_centroid(elements) + else: + normals = self._calculate_quad_normals(elements) elif element_type in ['polygon']: - normals = self._calculate_polygon_normals(elements) + if mode == "centroid": + normals = self._calculate_polygon_normals_centroid(elements) + else: + normals = self._calculate_polygon_normals(elements) elif element_type in ['mix']: normals = np.zeros((len(self.elements), 3)) for k, e in self.elements.items(): @@ -525,15 +577,47 @@ def _calculate_quad_normals(self, elements): vectors = functions.normalize(vectors) return vectors + def _calculate_quad_normals_centroid(self, elements): + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p = (p0 + p1 + p2 + p3) / 4 + v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p + cross_0 = np.cross(v0, v1) + cross_1 = np.cross(v1, v2) + cross_2 = np.cross(v2, v3) + cross_3 = np.cross(v3, v0) + normals = sum([cross_0, cross_1, cross_2, cross_3]) + return functions.normalize(normals) + def _calculate_polygon_normals(self, elements): vectors = functions.normalize(np.stack([ self._calculate_polygon_cross(e) for e in elements.data], axis=0)) return vectors + def _calculate_polygon_normals_centroid(self, elements): + vectors = functions.normalize(np.stack([ + self._calculate_polygon_cross_centroid(e) for e in elements.data], + axis=0)) + return vectors + def _calculate_polygon_cross(self, element): triangle_elements = self._trianglate_polygon(element) return np.mean(self._calculate_tri_crosses(triangle_elements), axis=0) + def _calculate_polygon_cross_centroid(self, element): + points = self.collect_node_positions_by_ids(element) + n = len(points) + p = points.mean(axis=0) + n = len(points) + normal = np.zeros(3, np.float32) + for i in range(n): + v1 = points[i - 1] - p + v2 = points[i] - p + normal += np.cross(v1, v2) + return normal + def _trianglate_polygon(self, element): n_points = len(element) assert n_points > 2, f"Non facet element fed (given {n_points} points)" @@ -617,7 +701,7 @@ def _validate_metric( return metric def calculate_element_volumes( - self, *, linear=False, raise_negative_volume=True, + self, *, mode="centroid", raise_negative_volume=True, return_abs_volume=False, elements=None, element_type=None, faces=None, update=True): """Calculate volume of each element assuming that the geometry of @@ -627,10 +711,13 @@ def calculate_element_volumes( Parameters ---------- - linear: bool, optional [False] - If False, areas are calculated by gaussian integral. - If True, areas are calculated under the assumption that - all elements is linear, and it runs a bit faster. + mode: str, optional ["centroid"] + If "gaussian", volumes are calculated by gaussian integral. + If "linear", volumes are calculated under the assumption that + all elements are linear, and it runs a bit faster. + If "centroid", volumes are calculated by decomposing their surfaces + into triangles at centroid. Therefore, the result doesn't depend on + the node labels. raise_negative_volume: bool, optional [True] If True, raise ValueError when negative volume exists. return_abs_volume: bool, optional [False] @@ -663,21 +750,42 @@ def calculate_element_volumes( volumes = self._calculate_element_volumes_tet_like( elements) elif element_type in ['hex']: - if linear: + if mode == "linear": volumes = self._calculate_element_volumes_hex( elements) - else: + elif mode == "gaussian": volumes = self._calculate_element_volumes_hex_gaussian( elements) + elif mode == "centroid": + volumes = self._calculate_element_volumes_hex_centroid( + elements) + else: + raise ValueError("Unknown mode") elif element_type in ['pyr']: - volumes = self._calculate_element_volumes_pyr(elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_pyr_centroid( + elements) + else: + volumes = self._calculate_element_volumes_pyr(elements) elif element_type in ['prism']: - volumes = self._calculate_element_volumes_prism(elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_prism_centroid( + elements) + else: + volumes = self._calculate_element_volumes_prism(elements) elif element_type in ['hexprism']: - volumes = self._calculate_element_volumes_hexprism( - elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_hexprism( + elements) + else: + volumes = self._calculate_element_volumes_hexprism( + elements) elif element_type in ['polyhedron']: - volumes = self._calculate_element_volumes_polyhedron(faces) + if mode == "centroid": + volumes = self._calculate_element_volumes_polyhedron_centroid( + faces) + else: + volumes = self._calculate_element_volumes_polyhedron(faces) elif element_type == 'mix': volumes = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -686,7 +794,7 @@ def calculate_element_volumes( else: faces = None partial_volumes = self.calculate_element_volumes( - elements=e, element_type=k, update=False, linear=linear, + elements=e, element_type=k, update=False, mode=mode, raise_negative_volume=raise_negative_volume, return_abs_volume=return_abs_volume, faces=faces @@ -764,6 +872,35 @@ def _calculate_element_volumes_hex_with_nodes( + np.linalg.det(np.stack([p1 - p5, p4 - p5, p6 - p5], axis=1)) )[:, None] + def _calculate_volumes_quad_centroid(self, p0, p1, p2, p3): + n = len(p0) + p = (p0 + p1 + p2 + p3) / 4 + res = np.zeros(n, np.float32) + res += np.linalg.det(np.stack([p, p0, p1], axis=1)) + res += np.linalg.det(np.stack([p, p1, p2], axis=1)) + res += np.linalg.det(np.stack([p, p2, p3], axis=1)) + res += np.linalg.det(np.stack([p, p3, p0], axis=1)) + return res + + def _calculate_element_volumes_hex_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) + p6 = self.collect_node_positions_by_ids(elements.data[:, 6]) + p7 = self.collect_node_positions_by_ids(elements.data[:, 7]) + res = np.zeros(n, np.float32) + res += self._calculate_volumes_quad_centroid(p3, p2, p1, p0) + res += self._calculate_volumes_quad_centroid(p5, p4, p0, p1) + res += self._calculate_volumes_quad_centroid(p6, p7, p4, p5) + res += self._calculate_volumes_quad_centroid(p2, p3, p7, p6) + res += self._calculate_volumes_quad_centroid(p5, p1, p2, p6) + res += self._calculate_volumes_quad_centroid(p4, p7, p3, p0) + return (res / 6).reshape(n, 1) + def _calculate_element_volumes_pyr(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -774,6 +911,21 @@ def _calculate_element_volumes_pyr(self, elements): p0, p1, p2, p4) + self._calculate_element_volumes_tet_like_core( p0, p2, p3, p4) + def _calculate_element_volumes_pyr_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + vol = np.zeros(n, np.float32) + vol += np.linalg.det(np.stack([p0, p1, p4], axis=1)) + vol += np.linalg.det(np.stack([p1, p2, p4], axis=1)) + vol += np.linalg.det(np.stack([p2, p3, p4], axis=1)) + vol += np.linalg.det(np.stack([p3, p0, p4], axis=1)) + vol += self._calculate_volumes_quad_centroid(p1, p0, p3, p2) + return (vol / 6).reshape(n, -1) + def _calculate_element_volumes_prism(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -788,6 +940,22 @@ def _calculate_element_volumes_prism(self, elements): + self._calculate_element_volumes_tet_like_core( p2, p4, p3, p5) + def _calculate_element_volumes_prism_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) + vol = np.zeros(n, np.float32) + vol += np.linalg.det(np.stack([p0, p1, p2], axis=1)) + vol += np.linalg.det(np.stack([p5, p4, p3], axis=1)) + vol += self._calculate_volumes_quad_centroid(p2, p5, p3, p0) + vol += self._calculate_volumes_quad_centroid(p1, p4, p5, p2) + vol += self._calculate_volumes_quad_centroid(p0, p3, p4, p1) + return (vol / 6).reshape(n, -1) + def _calculate_element_volumes_hexprism(self, elements): """Calculate volume of each hexprism elements. @@ -860,6 +1028,40 @@ def _calculate_element_volumes_polyhedron(self, faces): face_csr, nodes) return volumes.reshape((-1, 1)) + @staticmethod + @njit + def _calculate_element_volumes_polyhedron_centroid_core(face_csr, nodes): + indptr, dat = face_csr + P = len(indptr) - 1 + volumes = np.empty(P) + for p in range(P): + poly = dat[indptr[p]:indptr[p + 1]] + n = poly[0] + L = 1 + volume = 0.0 + for _ in range(n): + k = poly[L] + L += 1 + F = nodes[poly[L:L + k]] + L += k + centroid = np.zeros(3, np.float32) + for i in range(k): + centroid += F[i] + centroid /= k + for i in range(k): + volume += np.dot(np.cross(centroid, F[i - 1]), F[i]) + volumes[p] = volume / 6 + return volumes + + def _calculate_element_volumes_polyhedron_centroid(self, faces): + indptr = np.append(0, np.array([len(x) for x in faces], np.int64)) + np.cumsum(indptr, out=indptr) + face_csr = (indptr, np.concatenate(faces)) + nodes = self.nodes.data + volumes = self._calculate_element_volumes_polyhedron_centroid_core( + face_csr, nodes) + return volumes.reshape((-1, 1)) + def make_elements_positive(self): """Perfmute element connectivity order when it has negative volume.""" metric = self.calculate_element_metrics( diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 71afe0a..4deb4dc 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -27,9 +27,13 @@ def test_calculate_volume_hex(self): fem_data = FEMData.read_directory( 'fistr', 'tests/data/fistr/hex_cross', read_npy=False, save=False) - actual_volumes = fem_data.calculate_element_volumes(linear=True) + linear_volumes = fem_data.calculate_element_volumes(mode="linear") + gaussian_volumes = fem_data.calculate_element_volumes(mode="gaussian") + centroid_volumes = fem_data.calculate_element_volumes(mode="centroid") desired_volumes = np.ones((7, 1)) * 8. - np.testing.assert_almost_equal(actual_volumes, desired_volumes) + np.testing.assert_almost_equal(linear_volumes, desired_volumes) + np.testing.assert_almost_equal(gaussian_volumes, desired_volumes) + np.testing.assert_almost_equal(centroid_volumes, desired_volumes) def test_calculate_volume_tet_negative_raise_valueerror(self): fem_data = FEMData.read_directory( @@ -57,7 +61,7 @@ def test_calculate_area_tri(self): [3.], [6.], ]) - fem_data.calculate_element_areas(linear=True) + fem_data.calculate_element_areas() np.testing.assert_almost_equal( fem_data.elemental_data.get_attribute_data('area'), desired_areas) @@ -70,9 +74,12 @@ def test_calculate_area_quad(self): [1.5], [np.sqrt(2)], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + gaussian_areas = fem_data.calculate_element_areas(mode="gaussian") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(gaussian_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_area_quad_gaussian(self): data_directory = 'tests/data/obj/quad' @@ -91,7 +98,7 @@ def test_calculate_area_quad_gaussian(self): [1.5], [np.sqrt(2)], ]) - actual = fem_data.calculate_element_areas(linear=False) + actual = fem_data.calculate_element_areas(mode="gaussian") np.testing.assert_almost_equal(actual, desired_areas) def test_calculate_area_polygon(self): @@ -104,9 +111,10 @@ def test_calculate_area_polygon(self): [1.16], [1.25], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_area_nonconvex(self): data_directory = 'tests/data/vtp/nonconvex' @@ -115,9 +123,10 @@ def test_calculate_area_nonconvex(self): desired_areas = np.array([ [3.], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_volumes_hex_gaussian(self): fem_data = FEMData.read_directory( @@ -133,7 +142,7 @@ def test_calculate_volumes_hex_gaussian(self): fem_data.translation(vx, vy, vz) desired_volumes = np.full((7, 1), 8.0) - actual = fem_data.calculate_element_volumes(linear=False) + actual = fem_data.calculate_element_volumes(mode="gaussian") np.testing.assert_almost_equal(actual, desired_volumes) def test_calculate_volumes_polyhedron(self): @@ -172,7 +181,7 @@ def test_calculate_volumes_polyhedron(self): fem_data = FEMData.read_files( 'polyvtk', 'tests/data/vtu/polyhedron/polyhedron.vtu', ) - desired = np.array([[19/24], [3/2], [1/24]]) + desired = np.array([[19 / 24], [3 / 2], [1 / 24]]) actual = fem_data.calculate_element_volumes() np.testing.assert_almost_equal(actual, desired) @@ -271,10 +280,13 @@ def test_calculate_normal_quad(self): [0., 0., 1.], [-np.sqrt(.5), -np.sqrt(.5), 0.], ]) - fem_data.calculate_element_normals() + normals = fem_data.calculate_element_normals() + normals_centroid = fem_data.calculate_element_normals(mode="centroid") np.testing.assert_almost_equal( - fem_data.extract_direction_feature( - fem_data.elemental_data.get_attribute_data('normal')), + fem_data.extract_direction_feature(normals), + fem_data.extract_direction_feature(desired_normals), decimal=5) + np.testing.assert_almost_equal( + fem_data.extract_direction_feature(normals_centroid), fem_data.extract_direction_feature(desired_normals), decimal=5) def test_calculate_surface_normals(self): @@ -440,7 +452,7 @@ def test_calculate_surface_normals_polyhedron_complex(self): [27, 29, 30, 28]]), 'polygon': np.array([ np.array([1, 2, 9, 20, 19]), - np.array([5, 23, 24, 12, 6]), + np.array([5, 23, 24, 12, 6]), np.array([4, 8, 14, 18, 17, 11]), np.array([20, 21, 27, 28, 25, 24])], dtype=object) } @@ -493,7 +505,7 @@ def test_calculate_elemental_normals_mixed_polygon(self): [1., 0., -0.], [0.70710678, 0.70710678, -0.], [0.70710678, 0.70710678, -0.], - [-0.70710678, 0.70710678, 0.], + [-0.70710678, 0.70710678, 0.], [-1., 0., 0.], [0., 0., 1.], [0., 0., 1.], @@ -680,14 +692,14 @@ def test_translation_and_rotation(self): 'obj', data_directory, read_npy=False, save=False) fem_data.nodal_data.reset() - fem_data.rotation(1, 1, 1, np.pi/2) - a, b, c = 1/3, (1+3**.5)/3, (1-3**.5)/3 + fem_data.rotation(1, 1, 1, np.pi / 2) + a, b, c = 1 / 3, (1 + 3**.5) / 3, (1 - 3**.5) / 3 desired = np.array([0, 0, 0, a, b, c, c, a, b, b, c, a]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) fem_data.translation(1, 2, 3) - desired = np.array([1, 2, 3, a+1, b+2, c+3, c+1, a+2, - b+3, b+1, c+2, a+3]).reshape(4, 3) + desired = np.array([1, 2, 3, a + 1, b + 2, c + 3, c + 1, a + 2, + b + 3, b + 1, c + 2, a + 3]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) vx, vy, vz = np.random.random(3) @@ -700,7 +712,8 @@ def test_translation_and_rotation(self): dist = np.empty((4, 4)) for i in range(4): for j in range(4): - dist[i, j] = (X[i]-X[j])**2 + (Y[i]-Y[j])**2 + (Z[i]-Z[j])**2 + dist[i, j] = (X[i] - X[j])**2 + \ + (Y[i] - Y[j])**2 + (Z[i] - Z[j])**2 desired = np.array([0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0], np.float64).reshape(4, 4) np.testing.assert_almost_equal(dist, desired) @@ -712,8 +725,8 @@ def test_integrate_node_attribute_over_surface(self): 'values', np.array([3, 1, 4, 1, 5], np.float32)) # 123, 124, 134, 235, 245, 345 sq2 = 2 ** .5 - areas = [1/2, 1/2, 1/2, sq2/2, sq2/2, 1/2] - vals = [8/3, 5/3, 8/3, 10/3, 7/3, 10/3] - desired = sum(x*y for x, y in zip(areas, vals)) + areas = [1 / 2, 1 / 2, 1 / 2, sq2 / 2, sq2 / 2, 1 / 2] + vals = [8 / 3, 5 / 3, 8 / 3, 10 / 3, 7 / 3, 10 / 3] + desired = sum(x * y for x, y in zip(areas, vals)) actual = fem_data.integrate_node_attribute_over_surface('values') np.testing.assert_almost_equal(actual, desired) From c14590d0eedf676f327609ecd9657fde7e0210fc Mon Sep 17 00:00:00 2001 From: maspypy Date: Fri, 21 Apr 2023 05:22:48 +0900 Subject: [PATCH 09/26] pep --- femio/geometry_processor.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index e1c5ef0..5c3ac63 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -379,7 +379,8 @@ def calculate_surface_normals(self, mode='mean'): surface_normals, mode=mode), keep_zeros=True) nodal_normals = FEMAttribute( 'normal', self.nodes.ids, np.zeros((len(self.nodes.ids), 3))) - nodal_normals.loc[surface_fem_data.nodes.ids].data = surface_nodal_normals + nodal_normals.loc[surface_fem_data.nodes.ids].data = \ + surface_nodal_normals self.nodal_data.update({'normal': nodal_normals}) return nodal_normals.data From 9dd3cb4245eed0d1999ea8206c8ded201e550cfe Mon Sep 17 00:00:00 2001 From: maspypy Date: Fri, 21 Apr 2023 05:39:43 +0900 Subject: [PATCH 10/26] linear=True->mode=linear --- tests/format/polyvtk/test_polyvtk.py | 8 ++++---- tests/format/vtk/test_vtk.py | 10 +++++----- 2 files changed, 9 insertions(+), 9 deletions(-) diff --git a/tests/format/polyvtk/test_polyvtk.py b/tests/format/polyvtk/test_polyvtk.py index 26ba8bd..1f64453 100644 --- a/tests/format/polyvtk/test_polyvtk.py +++ b/tests/format/polyvtk/test_polyvtk.py @@ -240,19 +240,19 @@ def test_read_vtk_pyramid(self): vtk_fem_data.elements.data): np.testing.assert_almost_equal(ae, np.array(de)) - volumes = fem_data.calculate_element_volumes(linear=True) + volumes = fem_data.calculate_element_volumes(mode="linear") # fem_data.write('polyvtk', 'tmp.vtu', overwrite=True) - vtk_fem_data.calculate_element_volumes(linear=True) + vtk_fem_data.calculate_element_volumes(mode="linear") # vtk_fem_data.write('vtk', 'tmp.vtk', overwrite=True) np.testing.assert_almost_equal( volumes[[3, 1, 2, 0]], - vtk_fem_data.calculate_element_volumes(linear=True)) + vtk_fem_data.calculate_element_volumes(mode="linear")) def test_read_vtk_voxel(self): file_name = pathlib.Path('tests/data/vtu/voxel/mesh.vtu') fem_data = FEMData.read_files('polyvtk', [file_name]) - volumes = fem_data.calculate_element_volumes(linear=True) + volumes = fem_data.calculate_element_volumes(mode="linear") np.testing.assert_almost_equal(volumes, .5) write_file_name = 'tests/data/vtu/write_voxel/mesh.vtu' fem_data.write( diff --git a/tests/format/vtk/test_vtk.py b/tests/format/vtk/test_vtk.py index 1180c1d..6ff7a77 100644 --- a/tests/format/vtk/test_vtk.py +++ b/tests/format/vtk/test_vtk.py @@ -219,10 +219,10 @@ def test_read_mix_hex_hexprism(self): np.ones((2, 1)) * .3 * .3 * .1, np.array([[.1 * .1 * .1]]), np.ones((2, 1)) * .3 * .3 * .1, - np.ones((2, 1)) * .1 / 6 * (.4 * .3 * 2 + (.3**2 + .4**2)*2), + np.ones((2, 1)) * .1 / 6 * (.4 * .3 * 2 + (.3**2 + .4**2) * 2), np.array([[.1 * .1 * .1]]), - np.ones((2, 1)) * .1 / 6 * (.4 * .3 * 2 + (.3**2 + .4**2)*2), - np.ones((4, 1)) * (.3*.3 + .02) * .1, + np.ones((2, 1)) * .1 / 6 * (.4 * .3 * 2 + (.3**2 + .4**2) * 2), + np.ones((4, 1)) * (.3 * .3 + .02) * .1, np.ones((4, 1)) * ((.3 + .4) * .3 * .1 / 2 + .02 * .1) ])) @@ -230,7 +230,7 @@ def test_read_pyramid(self): file_name = Path('tests/data/vtu/pyramid/pyramid.vtu') fem_data = FEMData.read_files('vtk', [file_name]) - volumes = fem_data.calculate_element_volumes(linear=True) + volumes = fem_data.calculate_element_volumes(mode="linear") desired_volumes = np.array([ 1. / 2 - 1. / 3, 1. / 3, 1. / 3, 1.])[:, None] np.testing.assert_almost_equal(volumes, desired_volumes) @@ -254,7 +254,7 @@ def test_read_wedge(self): file_name = Path('tests/data/vtu/wedge/mesh.vtu') fem_data = FEMData.read_files('vtk', [file_name]) - volumes = fem_data.calculate_element_volumes(linear=True) + volumes = fem_data.calculate_element_volumes(mode="linear") desired_volumes = np.array([ 1. / 2 * 1. / 3, 1. / 2 * 1. / 3, 1. / 2, 1. / 2])[:, None] np.testing.assert_almost_equal(volumes, desired_volumes) From 0e4b9289b9d440f64cf31db6b6103ae348652746 Mon Sep 17 00:00:00 2001 From: Masanobu Horie Date: Fri, 21 Apr 2023 15:04:50 +0000 Subject: [PATCH 11/26] Revert "centroid area, normal, volume" This reverts commit 4d6a8a46c2653d7d6278c5027ab3a2cbd481d1cf --- femio/geometry_processor.py | 266 ++++--------------------------- tests/test_geometry_processor.py | 69 ++++---- 2 files changed, 60 insertions(+), 275 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index e1c5ef0..7fb9da3 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -11,7 +11,7 @@ class GeometryProcessorMixin: def calculate_element_areas( - self, *, mode="centroid", raise_negative_area=False, + self, *, linear=False, raise_negative_area=False, return_abs_area=True, elements=None, element_type=None, update=True): """Calculate areas of each element assuming that the geometry of @@ -21,13 +21,10 @@ def calculate_element_areas( Parameters ---------- - mode: str, optional ["centroid"] - If "gaussian", areas are calculated by gaussian integral. - If "linear", areas are calculated under the assumption that + linear: bool, optional [False] + If False, areas are calculated by gaussian integral. + If True, areas are calculated under the assumption that all elements is linear, and it runs a bit faster. - If "centroid", areas are calculated by decomposing it into - triangles at centroid. Therefore, the result doesn't depend on - the node labels. raise_negative_area: bool, optional [False] If True, raise ValueError when negative area exists. return_abs_area: bool, optional [True] @@ -57,20 +54,12 @@ def calculate_element_areas( if element_type in ['tri']: areas = self._calculate_element_areas_tri(elements) elif element_type in ['quad']: - if mode == "linear": + if linear: areas = self._calculate_element_areas_quad(elements) - elif mode == "gaussian": - areas = self._calculate_element_areas_quad_gaussian(elements) - elif mode == "centroid": - areas = self._calculate_element_areas_quad_centroid(elements) else: - raise ValueError("Unknown mode") + areas = self._calculate_element_areas_quad_gaussian(elements) elif element_type in ['polygon']: - if mode == "centroid": - areas = self._calculate_element_areas_polygon(elements) - else: - areas = self._calculate_element_areas_polygon_centroid( - elements) + areas = self._calculate_element_areas_polygon(elements) elif element_type in ['mix']: areas = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -145,20 +134,6 @@ def J21(xi, eta): res /= 16 return res.reshape(-1, 1) - def _calculate_element_areas_quad_centroid(self, elements): - p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) - p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) - p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) - p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) - p = (p0 + p1 + p2 + p3) / 4 - v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p - cross_0 = np.cross(v0, v1) - cross_1 = np.cross(v1, v2) - cross_2 = np.cross(v2, v3) - cross_3 = np.cross(v3, v0) - normals = sum([cross_0, cross_1, cross_2, cross_3]) - return np.linalg.norm(normals, axis=1, keepdims=True) * 0.5 - def _calculate_element_areas_polygon(self, elements): areas = np.stack([ self._calculate_element_area_polygon(e) @@ -170,24 +145,6 @@ def _calculate_element_area_polygon(self, element): return np.linalg.norm(np.sum( self._calculate_tri_crosses(triangle_elements), axis=0)) * .5 - def _calculate_element_areas_polygon_centroid(self, elements): - areas = np.stack([ - self._calculate_element_area_polygon_centroid(e) - for e in elements.data], axis=0)[..., None] - return areas - - def _calculate_element_area_polygon_centroid(self, element): - points = self.collect_node_positions_by_ids(element) - n = len(points) - p = points.mean(axis=0) - n = len(points) - normal = np.zeros(3, np.float32) - for i in range(n): - v1 = points[i - 1] - p - v2 = points[i] - p - normal += np.cross(v1, v2) - return np.linalg.norm(normal) * 0.5 - def _calculate_element_volumes_hex_gaussian(self, elements): element_data = elements.data x0, y0, z0 = self.collect_node_positions_by_ids(element_data[:, 0]).T @@ -251,7 +208,7 @@ def J2(xi, eta, zeta): res -= J00 * J21 * J12 + J10 * J01 * J22 + J20 * J11 * J02 return res.reshape(-1, 1) / 512 - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_edge_lengths(self): """Calculate edge lengths of each element. Calculated lengths are returned and also stored in @@ -284,7 +241,7 @@ def _calculate_edge_lengths_polygon(self, elements): return edge_lengths - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_angles(self): """Calculate angles of each element. Calculated angles are returned and also stored in @@ -319,7 +276,7 @@ def _calculate_angles_polygon(self, elements): return angles - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_jacobians(self): """Calculate jacobians of each element. Calculated jacobians are returned and also stored in @@ -358,7 +315,7 @@ def projection(p): cross = np.cross(vector1, vector2) return np.linalg.norm(cross, axis=1) - @ functools.lru_cache(maxsize=2) + @functools.lru_cache(maxsize=2) def calculate_surface_normals(self, mode='mean'): """Calculate nodal normal vectors of the surface of a solid mesh. If an node is not on the surface, the vector will be zero. @@ -379,7 +336,8 @@ def calculate_surface_normals(self, mode='mean'): surface_normals, mode=mode), keep_zeros=True) nodal_normals = FEMAttribute( 'normal', self.nodes.ids, np.zeros((len(self.nodes.ids), 3))) - nodal_normals.loc[surface_fem_data.nodes.ids].data = surface_nodal_normals + nodal_normals.loc[surface_fem_data.nodes.ids].data\ + = surface_nodal_normals self.nodal_data.update({'normal': nodal_normals}) return nodal_normals.data @@ -434,7 +392,7 @@ def calculate_normal_incidence_matrix(self): signed_incidence_data, (coo.row, coo.col))) return facet_data, signed_incidence, facet_normals - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_all_element_normals(self, facet_data=None): """Calculate normal vectors of each elements. If the elements are solid, then multiple normal vectors per solid will be generated. @@ -460,19 +418,14 @@ def calculate_all_element_normals(self, facet_data=None): return np.reshape( normals, (len(self.elements), n_facet_per_element, 3)) - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_element_normals( - self, mode="centroid", elements=None, element_type=None, - update=True): + self, elements=None, element_type=None, update=True): """Calculate normal vectors of each shell elements. Please note that the calculated normal may not be aligned with neighbor elements. To make vector field smooth, use femio.extract_direction_feature() method. Args: - mode: str, optional ["centroid"] - If "centroid", normal vectors are calculated by decomposing - it into triangles at centroid. Therefore, the result doesn't - depend on the node labels. Returns: normals: numpy.ndarray (n_element, 3)-shaped array. @@ -481,18 +434,13 @@ def calculate_element_normals( elements = self.elements if element_type is None: element_type = self.elements.element_type + if element_type in ['tri']: normals = self._calculate_tri_normals(elements) elif element_type in ['quad']: - if mode == "centroid": - normals = self._calculate_quad_normals_centroid(elements) - else: - normals = self._calculate_quad_normals(elements) + normals = self._calculate_quad_normals(elements) elif element_type in ['polygon']: - if mode == "centroid": - normals = self._calculate_polygon_normals_centroid(elements) - else: - normals = self._calculate_polygon_normals(elements) + normals = self._calculate_polygon_normals(elements) elif element_type in ['mix']: normals = np.zeros((len(self.elements), 3)) for k, e in self.elements.items(): @@ -577,47 +525,15 @@ def _calculate_quad_normals(self, elements): vectors = functions.normalize(vectors) return vectors - def _calculate_quad_normals_centroid(self, elements): - p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) - p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) - p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) - p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) - p = (p0 + p1 + p2 + p3) / 4 - v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p - cross_0 = np.cross(v0, v1) - cross_1 = np.cross(v1, v2) - cross_2 = np.cross(v2, v3) - cross_3 = np.cross(v3, v0) - normals = sum([cross_0, cross_1, cross_2, cross_3]) - return functions.normalize(normals) - def _calculate_polygon_normals(self, elements): vectors = functions.normalize(np.stack([ self._calculate_polygon_cross(e) for e in elements.data], axis=0)) return vectors - def _calculate_polygon_normals_centroid(self, elements): - vectors = functions.normalize(np.stack([ - self._calculate_polygon_cross_centroid(e) for e in elements.data], - axis=0)) - return vectors - def _calculate_polygon_cross(self, element): triangle_elements = self._trianglate_polygon(element) return np.mean(self._calculate_tri_crosses(triangle_elements), axis=0) - def _calculate_polygon_cross_centroid(self, element): - points = self.collect_node_positions_by_ids(element) - n = len(points) - p = points.mean(axis=0) - n = len(points) - normal = np.zeros(3, np.float32) - for i in range(n): - v1 = points[i - 1] - p - v2 = points[i] - p - normal += np.cross(v1, v2) - return normal - def _trianglate_polygon(self, element): n_points = len(element) assert n_points > 2, f"Non facet element fed (given {n_points} points)" @@ -701,7 +617,7 @@ def _validate_metric( return metric def calculate_element_volumes( - self, *, mode="centroid", raise_negative_volume=True, + self, *, linear=False, raise_negative_volume=True, return_abs_volume=False, elements=None, element_type=None, faces=None, update=True): """Calculate volume of each element assuming that the geometry of @@ -711,13 +627,10 @@ def calculate_element_volumes( Parameters ---------- - mode: str, optional ["centroid"] - If "gaussian", volumes are calculated by gaussian integral. - If "linear", volumes are calculated under the assumption that - all elements are linear, and it runs a bit faster. - If "centroid", volumes are calculated by decomposing their surfaces - into triangles at centroid. Therefore, the result doesn't depend on - the node labels. + linear: bool, optional [False] + If False, areas are calculated by gaussian integral. + If True, areas are calculated under the assumption that + all elements is linear, and it runs a bit faster. raise_negative_volume: bool, optional [True] If True, raise ValueError when negative volume exists. return_abs_volume: bool, optional [False] @@ -750,42 +663,21 @@ def calculate_element_volumes( volumes = self._calculate_element_volumes_tet_like( elements) elif element_type in ['hex']: - if mode == "linear": + if linear: volumes = self._calculate_element_volumes_hex( elements) - elif mode == "gaussian": + else: volumes = self._calculate_element_volumes_hex_gaussian( elements) - elif mode == "centroid": - volumes = self._calculate_element_volumes_hex_centroid( - elements) - else: - raise ValueError("Unknown mode") elif element_type in ['pyr']: - if mode == "centroid": - volumes = self._calculate_element_volumes_pyr_centroid( - elements) - else: - volumes = self._calculate_element_volumes_pyr(elements) + volumes = self._calculate_element_volumes_pyr(elements) elif element_type in ['prism']: - if mode == "centroid": - volumes = self._calculate_element_volumes_prism_centroid( - elements) - else: - volumes = self._calculate_element_volumes_prism(elements) + volumes = self._calculate_element_volumes_prism(elements) elif element_type in ['hexprism']: - if mode == "centroid": - volumes = self._calculate_element_volumes_hexprism( - elements) - else: - volumes = self._calculate_element_volumes_hexprism( - elements) + volumes = self._calculate_element_volumes_hexprism( + elements) elif element_type in ['polyhedron']: - if mode == "centroid": - volumes = self._calculate_element_volumes_polyhedron_centroid( - faces) - else: - volumes = self._calculate_element_volumes_polyhedron(faces) + volumes = self._calculate_element_volumes_polyhedron(faces) elif element_type == 'mix': volumes = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -794,7 +686,7 @@ def calculate_element_volumes( else: faces = None partial_volumes = self.calculate_element_volumes( - elements=e, element_type=k, update=False, mode=mode, + elements=e, element_type=k, update=False, linear=linear, raise_negative_volume=raise_negative_volume, return_abs_volume=return_abs_volume, faces=faces @@ -872,35 +764,6 @@ def _calculate_element_volumes_hex_with_nodes( + np.linalg.det(np.stack([p1 - p5, p4 - p5, p6 - p5], axis=1)) )[:, None] - def _calculate_volumes_quad_centroid(self, p0, p1, p2, p3): - n = len(p0) - p = (p0 + p1 + p2 + p3) / 4 - res = np.zeros(n, np.float32) - res += np.linalg.det(np.stack([p, p0, p1], axis=1)) - res += np.linalg.det(np.stack([p, p1, p2], axis=1)) - res += np.linalg.det(np.stack([p, p2, p3], axis=1)) - res += np.linalg.det(np.stack([p, p3, p0], axis=1)) - return res - - def _calculate_element_volumes_hex_centroid(self, elements): - n = len(elements.data) - p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) - p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) - p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) - p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) - p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) - p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) - p6 = self.collect_node_positions_by_ids(elements.data[:, 6]) - p7 = self.collect_node_positions_by_ids(elements.data[:, 7]) - res = np.zeros(n, np.float32) - res += self._calculate_volumes_quad_centroid(p3, p2, p1, p0) - res += self._calculate_volumes_quad_centroid(p5, p4, p0, p1) - res += self._calculate_volumes_quad_centroid(p6, p7, p4, p5) - res += self._calculate_volumes_quad_centroid(p2, p3, p7, p6) - res += self._calculate_volumes_quad_centroid(p5, p1, p2, p6) - res += self._calculate_volumes_quad_centroid(p4, p7, p3, p0) - return (res / 6).reshape(n, 1) - def _calculate_element_volumes_pyr(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -911,21 +774,6 @@ def _calculate_element_volumes_pyr(self, elements): p0, p1, p2, p4) + self._calculate_element_volumes_tet_like_core( p0, p2, p3, p4) - def _calculate_element_volumes_pyr_centroid(self, elements): - n = len(elements.data) - p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) - p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) - p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) - p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) - p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) - vol = np.zeros(n, np.float32) - vol += np.linalg.det(np.stack([p0, p1, p4], axis=1)) - vol += np.linalg.det(np.stack([p1, p2, p4], axis=1)) - vol += np.linalg.det(np.stack([p2, p3, p4], axis=1)) - vol += np.linalg.det(np.stack([p3, p0, p4], axis=1)) - vol += self._calculate_volumes_quad_centroid(p1, p0, p3, p2) - return (vol / 6).reshape(n, -1) - def _calculate_element_volumes_prism(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -940,22 +788,6 @@ def _calculate_element_volumes_prism(self, elements): + self._calculate_element_volumes_tet_like_core( p2, p4, p3, p5) - def _calculate_element_volumes_prism_centroid(self, elements): - n = len(elements.data) - p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) - p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) - p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) - p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) - p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) - p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) - vol = np.zeros(n, np.float32) - vol += np.linalg.det(np.stack([p0, p1, p2], axis=1)) - vol += np.linalg.det(np.stack([p5, p4, p3], axis=1)) - vol += self._calculate_volumes_quad_centroid(p2, p5, p3, p0) - vol += self._calculate_volumes_quad_centroid(p1, p4, p5, p2) - vol += self._calculate_volumes_quad_centroid(p0, p3, p4, p1) - return (vol / 6).reshape(n, -1) - def _calculate_element_volumes_hexprism(self, elements): """Calculate volume of each hexprism elements. @@ -1028,40 +860,6 @@ def _calculate_element_volumes_polyhedron(self, faces): face_csr, nodes) return volumes.reshape((-1, 1)) - @staticmethod - @njit - def _calculate_element_volumes_polyhedron_centroid_core(face_csr, nodes): - indptr, dat = face_csr - P = len(indptr) - 1 - volumes = np.empty(P) - for p in range(P): - poly = dat[indptr[p]:indptr[p + 1]] - n = poly[0] - L = 1 - volume = 0.0 - for _ in range(n): - k = poly[L] - L += 1 - F = nodes[poly[L:L + k]] - L += k - centroid = np.zeros(3, np.float32) - for i in range(k): - centroid += F[i] - centroid /= k - for i in range(k): - volume += np.dot(np.cross(centroid, F[i - 1]), F[i]) - volumes[p] = volume / 6 - return volumes - - def _calculate_element_volumes_polyhedron_centroid(self, faces): - indptr = np.append(0, np.array([len(x) for x in faces], np.int64)) - np.cumsum(indptr, out=indptr) - face_csr = (indptr, np.concatenate(faces)) - nodes = self.nodes.data - volumes = self._calculate_element_volumes_polyhedron_centroid_core( - face_csr, nodes) - return volumes.reshape((-1, 1)) - def make_elements_positive(self): """Perfmute element connectivity order when it has negative volume.""" metric = self.calculate_element_metrics( diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 4deb4dc..71afe0a 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -27,13 +27,9 @@ def test_calculate_volume_hex(self): fem_data = FEMData.read_directory( 'fistr', 'tests/data/fistr/hex_cross', read_npy=False, save=False) - linear_volumes = fem_data.calculate_element_volumes(mode="linear") - gaussian_volumes = fem_data.calculate_element_volumes(mode="gaussian") - centroid_volumes = fem_data.calculate_element_volumes(mode="centroid") + actual_volumes = fem_data.calculate_element_volumes(linear=True) desired_volumes = np.ones((7, 1)) * 8. - np.testing.assert_almost_equal(linear_volumes, desired_volumes) - np.testing.assert_almost_equal(gaussian_volumes, desired_volumes) - np.testing.assert_almost_equal(centroid_volumes, desired_volumes) + np.testing.assert_almost_equal(actual_volumes, desired_volumes) def test_calculate_volume_tet_negative_raise_valueerror(self): fem_data = FEMData.read_directory( @@ -61,7 +57,7 @@ def test_calculate_area_tri(self): [3.], [6.], ]) - fem_data.calculate_element_areas() + fem_data.calculate_element_areas(linear=True) np.testing.assert_almost_equal( fem_data.elemental_data.get_attribute_data('area'), desired_areas) @@ -74,12 +70,9 @@ def test_calculate_area_quad(self): [1.5], [np.sqrt(2)], ]) - linear_areas = fem_data.calculate_element_areas(mode="linear") - gaussian_areas = fem_data.calculate_element_areas(mode="gaussian") - centroid_areas = fem_data.calculate_element_areas(mode="centroid") - np.testing.assert_almost_equal(linear_areas, desired_areas) - np.testing.assert_almost_equal(gaussian_areas, desired_areas) - np.testing.assert_almost_equal(centroid_areas, desired_areas) + fem_data.calculate_element_areas(linear=True) + np.testing.assert_almost_equal( + fem_data.elemental_data.get_attribute_data('area'), desired_areas) def test_calculate_area_quad_gaussian(self): data_directory = 'tests/data/obj/quad' @@ -98,7 +91,7 @@ def test_calculate_area_quad_gaussian(self): [1.5], [np.sqrt(2)], ]) - actual = fem_data.calculate_element_areas(mode="gaussian") + actual = fem_data.calculate_element_areas(linear=False) np.testing.assert_almost_equal(actual, desired_areas) def test_calculate_area_polygon(self): @@ -111,10 +104,9 @@ def test_calculate_area_polygon(self): [1.16], [1.25], ]) - linear_areas = fem_data.calculate_element_areas(mode="linear") - centroid_areas = fem_data.calculate_element_areas(mode="centroid") - np.testing.assert_almost_equal(linear_areas, desired_areas) - np.testing.assert_almost_equal(centroid_areas, desired_areas) + fem_data.calculate_element_areas(linear=True) + np.testing.assert_almost_equal( + fem_data.elemental_data.get_attribute_data('area'), desired_areas) def test_calculate_area_nonconvex(self): data_directory = 'tests/data/vtp/nonconvex' @@ -123,10 +115,9 @@ def test_calculate_area_nonconvex(self): desired_areas = np.array([ [3.], ]) - linear_areas = fem_data.calculate_element_areas(mode="linear") - centroid_areas = fem_data.calculate_element_areas(mode="centroid") - np.testing.assert_almost_equal(linear_areas, desired_areas) - np.testing.assert_almost_equal(centroid_areas, desired_areas) + fem_data.calculate_element_areas(linear=True) + np.testing.assert_almost_equal( + fem_data.elemental_data.get_attribute_data('area'), desired_areas) def test_calculate_volumes_hex_gaussian(self): fem_data = FEMData.read_directory( @@ -142,7 +133,7 @@ def test_calculate_volumes_hex_gaussian(self): fem_data.translation(vx, vy, vz) desired_volumes = np.full((7, 1), 8.0) - actual = fem_data.calculate_element_volumes(mode="gaussian") + actual = fem_data.calculate_element_volumes(linear=False) np.testing.assert_almost_equal(actual, desired_volumes) def test_calculate_volumes_polyhedron(self): @@ -181,7 +172,7 @@ def test_calculate_volumes_polyhedron(self): fem_data = FEMData.read_files( 'polyvtk', 'tests/data/vtu/polyhedron/polyhedron.vtu', ) - desired = np.array([[19 / 24], [3 / 2], [1 / 24]]) + desired = np.array([[19/24], [3/2], [1/24]]) actual = fem_data.calculate_element_volumes() np.testing.assert_almost_equal(actual, desired) @@ -280,13 +271,10 @@ def test_calculate_normal_quad(self): [0., 0., 1.], [-np.sqrt(.5), -np.sqrt(.5), 0.], ]) - normals = fem_data.calculate_element_normals() - normals_centroid = fem_data.calculate_element_normals(mode="centroid") - np.testing.assert_almost_equal( - fem_data.extract_direction_feature(normals), - fem_data.extract_direction_feature(desired_normals), decimal=5) + fem_data.calculate_element_normals() np.testing.assert_almost_equal( - fem_data.extract_direction_feature(normals_centroid), + fem_data.extract_direction_feature( + fem_data.elemental_data.get_attribute_data('normal')), fem_data.extract_direction_feature(desired_normals), decimal=5) def test_calculate_surface_normals(self): @@ -452,7 +440,7 @@ def test_calculate_surface_normals_polyhedron_complex(self): [27, 29, 30, 28]]), 'polygon': np.array([ np.array([1, 2, 9, 20, 19]), - np.array([5, 23, 24, 12, 6]), + np.array([5, 23, 24, 12, 6]), np.array([4, 8, 14, 18, 17, 11]), np.array([20, 21, 27, 28, 25, 24])], dtype=object) } @@ -505,7 +493,7 @@ def test_calculate_elemental_normals_mixed_polygon(self): [1., 0., -0.], [0.70710678, 0.70710678, -0.], [0.70710678, 0.70710678, -0.], - [-0.70710678, 0.70710678, 0.], + [-0.70710678, 0.70710678, 0.], [-1., 0., 0.], [0., 0., 1.], [0., 0., 1.], @@ -692,14 +680,14 @@ def test_translation_and_rotation(self): 'obj', data_directory, read_npy=False, save=False) fem_data.nodal_data.reset() - fem_data.rotation(1, 1, 1, np.pi / 2) - a, b, c = 1 / 3, (1 + 3**.5) / 3, (1 - 3**.5) / 3 + fem_data.rotation(1, 1, 1, np.pi/2) + a, b, c = 1/3, (1+3**.5)/3, (1-3**.5)/3 desired = np.array([0, 0, 0, a, b, c, c, a, b, b, c, a]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) fem_data.translation(1, 2, 3) - desired = np.array([1, 2, 3, a + 1, b + 2, c + 3, c + 1, a + 2, - b + 3, b + 1, c + 2, a + 3]).reshape(4, 3) + desired = np.array([1, 2, 3, a+1, b+2, c+3, c+1, a+2, + b+3, b+1, c+2, a+3]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) vx, vy, vz = np.random.random(3) @@ -712,8 +700,7 @@ def test_translation_and_rotation(self): dist = np.empty((4, 4)) for i in range(4): for j in range(4): - dist[i, j] = (X[i] - X[j])**2 + \ - (Y[i] - Y[j])**2 + (Z[i] - Z[j])**2 + dist[i, j] = (X[i]-X[j])**2 + (Y[i]-Y[j])**2 + (Z[i]-Z[j])**2 desired = np.array([0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0], np.float64).reshape(4, 4) np.testing.assert_almost_equal(dist, desired) @@ -725,8 +712,8 @@ def test_integrate_node_attribute_over_surface(self): 'values', np.array([3, 1, 4, 1, 5], np.float32)) # 123, 124, 134, 235, 245, 345 sq2 = 2 ** .5 - areas = [1 / 2, 1 / 2, 1 / 2, sq2 / 2, sq2 / 2, 1 / 2] - vals = [8 / 3, 5 / 3, 8 / 3, 10 / 3, 7 / 3, 10 / 3] - desired = sum(x * y for x, y in zip(areas, vals)) + areas = [1/2, 1/2, 1/2, sq2/2, sq2/2, 1/2] + vals = [8/3, 5/3, 8/3, 10/3, 7/3, 10/3] + desired = sum(x*y for x, y in zip(areas, vals)) actual = fem_data.integrate_node_attribute_over_surface('values') np.testing.assert_almost_equal(actual, desired) From a2d8fec523c90ce265a8b0382be14b2af1f25f6a Mon Sep 17 00:00:00 2001 From: Masanobu Horie Date: Fri, 21 Apr 2023 15:25:44 +0000 Subject: [PATCH 12/26] Revert "resolve conflicts" This reverts commit f985d50e853a0c9161c3339969e448aa9aabe40e --- femio/geometry_processor.py | 263 +++++++++++++++++++++++++++---- tests/test_geometry_processor.py | 69 ++++---- 2 files changed, 274 insertions(+), 58 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 8e093b3..5c3ac63 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -11,7 +11,7 @@ class GeometryProcessorMixin: def calculate_element_areas( - self, *, linear=False, raise_negative_area=False, + self, *, mode="centroid", raise_negative_area=False, return_abs_area=True, elements=None, element_type=None, update=True): """Calculate areas of each element assuming that the geometry of @@ -21,10 +21,13 @@ def calculate_element_areas( Parameters ---------- - linear: bool, optional [False] - If False, areas are calculated by gaussian integral. - If True, areas are calculated under the assumption that + mode: str, optional ["centroid"] + If "gaussian", areas are calculated by gaussian integral. + If "linear", areas are calculated under the assumption that all elements is linear, and it runs a bit faster. + If "centroid", areas are calculated by decomposing it into + triangles at centroid. Therefore, the result doesn't depend on + the node labels. raise_negative_area: bool, optional [False] If True, raise ValueError when negative area exists. return_abs_area: bool, optional [True] @@ -54,12 +57,20 @@ def calculate_element_areas( if element_type in ['tri']: areas = self._calculate_element_areas_tri(elements) elif element_type in ['quad']: - if linear: + if mode == "linear": areas = self._calculate_element_areas_quad(elements) - else: + elif mode == "gaussian": areas = self._calculate_element_areas_quad_gaussian(elements) + elif mode == "centroid": + areas = self._calculate_element_areas_quad_centroid(elements) + else: + raise ValueError("Unknown mode") elif element_type in ['polygon']: - areas = self._calculate_element_areas_polygon(elements) + if mode == "centroid": + areas = self._calculate_element_areas_polygon(elements) + else: + areas = self._calculate_element_areas_polygon_centroid( + elements) elif element_type in ['mix']: areas = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -134,6 +145,20 @@ def J21(xi, eta): res /= 16 return res.reshape(-1, 1) + def _calculate_element_areas_quad_centroid(self, elements): + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p = (p0 + p1 + p2 + p3) / 4 + v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p + cross_0 = np.cross(v0, v1) + cross_1 = np.cross(v1, v2) + cross_2 = np.cross(v2, v3) + cross_3 = np.cross(v3, v0) + normals = sum([cross_0, cross_1, cross_2, cross_3]) + return np.linalg.norm(normals, axis=1, keepdims=True) * 0.5 + def _calculate_element_areas_polygon(self, elements): areas = np.stack([ self._calculate_element_area_polygon(e) @@ -145,6 +170,24 @@ def _calculate_element_area_polygon(self, element): return np.linalg.norm(np.sum( self._calculate_tri_crosses(triangle_elements), axis=0)) * .5 + def _calculate_element_areas_polygon_centroid(self, elements): + areas = np.stack([ + self._calculate_element_area_polygon_centroid(e) + for e in elements.data], axis=0)[..., None] + return areas + + def _calculate_element_area_polygon_centroid(self, element): + points = self.collect_node_positions_by_ids(element) + n = len(points) + p = points.mean(axis=0) + n = len(points) + normal = np.zeros(3, np.float32) + for i in range(n): + v1 = points[i - 1] - p + v2 = points[i] - p + normal += np.cross(v1, v2) + return np.linalg.norm(normal) * 0.5 + def _calculate_element_volumes_hex_gaussian(self, elements): element_data = elements.data x0, y0, z0 = self.collect_node_positions_by_ids(element_data[:, 0]).T @@ -208,7 +251,7 @@ def J2(xi, eta, zeta): res -= J00 * J21 * J12 + J10 * J01 * J22 + J20 * J11 * J02 return res.reshape(-1, 1) / 512 - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_edge_lengths(self): """Calculate edge lengths of each element. Calculated lengths are returned and also stored in @@ -241,7 +284,7 @@ def _calculate_edge_lengths_polygon(self, elements): return edge_lengths - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_angles(self): """Calculate angles of each element. Calculated angles are returned and also stored in @@ -276,7 +319,7 @@ def _calculate_angles_polygon(self, elements): return angles - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_jacobians(self): """Calculate jacobians of each element. Calculated jacobians are returned and also stored in @@ -315,7 +358,7 @@ def projection(p): cross = np.cross(vector1, vector2) return np.linalg.norm(cross, axis=1) - @functools.lru_cache(maxsize=2) + @ functools.lru_cache(maxsize=2) def calculate_surface_normals(self, mode='mean'): """Calculate nodal normal vectors of the surface of a solid mesh. If an node is not on the surface, the vector will be zero. @@ -392,7 +435,7 @@ def calculate_normal_incidence_matrix(self): signed_incidence_data, (coo.row, coo.col))) return facet_data, signed_incidence, facet_normals - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_all_element_normals(self, facet_data=None): """Calculate normal vectors of each elements. If the elements are solid, then multiple normal vectors per solid will be generated. @@ -418,14 +461,19 @@ def calculate_all_element_normals(self, facet_data=None): return np.reshape( normals, (len(self.elements), n_facet_per_element, 3)) - @functools.lru_cache(maxsize=1) + @ functools.lru_cache(maxsize=1) def calculate_element_normals( - self, elements=None, element_type=None, update=True): + self, mode="centroid", elements=None, element_type=None, + update=True): """Calculate normal vectors of each shell elements. Please note that the calculated normal may not be aligned with neighbor elements. To make vector field smooth, use femio.extract_direction_feature() method. Args: + mode: str, optional ["centroid"] + If "centroid", normal vectors are calculated by decomposing + it into triangles at centroid. Therefore, the result doesn't + depend on the node labels. Returns: normals: numpy.ndarray (n_element, 3)-shaped array. @@ -434,13 +482,18 @@ def calculate_element_normals( elements = self.elements if element_type is None: element_type = self.elements.element_type - if element_type in ['tri']: normals = self._calculate_tri_normals(elements) elif element_type in ['quad']: - normals = self._calculate_quad_normals(elements) + if mode == "centroid": + normals = self._calculate_quad_normals_centroid(elements) + else: + normals = self._calculate_quad_normals(elements) elif element_type in ['polygon']: - normals = self._calculate_polygon_normals(elements) + if mode == "centroid": + normals = self._calculate_polygon_normals_centroid(elements) + else: + normals = self._calculate_polygon_normals(elements) elif element_type in ['mix']: normals = np.zeros((len(self.elements), 3)) for k, e in self.elements.items(): @@ -525,15 +578,47 @@ def _calculate_quad_normals(self, elements): vectors = functions.normalize(vectors) return vectors + def _calculate_quad_normals_centroid(self, elements): + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p = (p0 + p1 + p2 + p3) / 4 + v0, v1, v2, v3 = p0 - p, p1 - p, p2 - p, p3 - p + cross_0 = np.cross(v0, v1) + cross_1 = np.cross(v1, v2) + cross_2 = np.cross(v2, v3) + cross_3 = np.cross(v3, v0) + normals = sum([cross_0, cross_1, cross_2, cross_3]) + return functions.normalize(normals) + def _calculate_polygon_normals(self, elements): vectors = functions.normalize(np.stack([ self._calculate_polygon_cross(e) for e in elements.data], axis=0)) return vectors + def _calculate_polygon_normals_centroid(self, elements): + vectors = functions.normalize(np.stack([ + self._calculate_polygon_cross_centroid(e) for e in elements.data], + axis=0)) + return vectors + def _calculate_polygon_cross(self, element): triangle_elements = self._trianglate_polygon(element) return np.mean(self._calculate_tri_crosses(triangle_elements), axis=0) + def _calculate_polygon_cross_centroid(self, element): + points = self.collect_node_positions_by_ids(element) + n = len(points) + p = points.mean(axis=0) + n = len(points) + normal = np.zeros(3, np.float32) + for i in range(n): + v1 = points[i - 1] - p + v2 = points[i] - p + normal += np.cross(v1, v2) + return normal + def _trianglate_polygon(self, element): n_points = len(element) assert n_points > 2, f"Non facet element fed (given {n_points} points)" @@ -617,7 +702,7 @@ def _validate_metric( return metric def calculate_element_volumes( - self, *, linear=False, raise_negative_volume=True, + self, *, mode="centroid", raise_negative_volume=True, return_abs_volume=False, elements=None, element_type=None, faces=None, update=True): """Calculate volume of each element assuming that the geometry of @@ -627,10 +712,13 @@ def calculate_element_volumes( Parameters ---------- - linear: bool, optional [False] - If False, areas are calculated by gaussian integral. - If True, areas are calculated under the assumption that - all elements is linear, and it runs a bit faster. + mode: str, optional ["centroid"] + If "gaussian", volumes are calculated by gaussian integral. + If "linear", volumes are calculated under the assumption that + all elements are linear, and it runs a bit faster. + If "centroid", volumes are calculated by decomposing their surfaces + into triangles at centroid. Therefore, the result doesn't depend on + the node labels. raise_negative_volume: bool, optional [True] If True, raise ValueError when negative volume exists. return_abs_volume: bool, optional [False] @@ -663,21 +751,42 @@ def calculate_element_volumes( volumes = self._calculate_element_volumes_tet_like( elements) elif element_type in ['hex']: - if linear: + if mode == "linear": volumes = self._calculate_element_volumes_hex( elements) - else: + elif mode == "gaussian": volumes = self._calculate_element_volumes_hex_gaussian( elements) + elif mode == "centroid": + volumes = self._calculate_element_volumes_hex_centroid( + elements) + else: + raise ValueError("Unknown mode") elif element_type in ['pyr']: - volumes = self._calculate_element_volumes_pyr(elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_pyr_centroid( + elements) + else: + volumes = self._calculate_element_volumes_pyr(elements) elif element_type in ['prism']: - volumes = self._calculate_element_volumes_prism(elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_prism_centroid( + elements) + else: + volumes = self._calculate_element_volumes_prism(elements) elif element_type in ['hexprism']: - volumes = self._calculate_element_volumes_hexprism( - elements) + if mode == "centroid": + volumes = self._calculate_element_volumes_hexprism( + elements) + else: + volumes = self._calculate_element_volumes_hexprism( + elements) elif element_type in ['polyhedron']: - volumes = self._calculate_element_volumes_polyhedron(faces) + if mode == "centroid": + volumes = self._calculate_element_volumes_polyhedron_centroid( + faces) + else: + volumes = self._calculate_element_volumes_polyhedron(faces) elif element_type == 'mix': volumes = np.zeros((len(self.elements), 1)) for k, e in self.elements.items(): @@ -686,7 +795,7 @@ def calculate_element_volumes( else: faces = None partial_volumes = self.calculate_element_volumes( - elements=e, element_type=k, update=False, linear=linear, + elements=e, element_type=k, update=False, mode=mode, raise_negative_volume=raise_negative_volume, return_abs_volume=return_abs_volume, faces=faces @@ -764,6 +873,35 @@ def _calculate_element_volumes_hex_with_nodes( + np.linalg.det(np.stack([p1 - p5, p4 - p5, p6 - p5], axis=1)) )[:, None] + def _calculate_volumes_quad_centroid(self, p0, p1, p2, p3): + n = len(p0) + p = (p0 + p1 + p2 + p3) / 4 + res = np.zeros(n, np.float32) + res += np.linalg.det(np.stack([p, p0, p1], axis=1)) + res += np.linalg.det(np.stack([p, p1, p2], axis=1)) + res += np.linalg.det(np.stack([p, p2, p3], axis=1)) + res += np.linalg.det(np.stack([p, p3, p0], axis=1)) + return res + + def _calculate_element_volumes_hex_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) + p6 = self.collect_node_positions_by_ids(elements.data[:, 6]) + p7 = self.collect_node_positions_by_ids(elements.data[:, 7]) + res = np.zeros(n, np.float32) + res += self._calculate_volumes_quad_centroid(p3, p2, p1, p0) + res += self._calculate_volumes_quad_centroid(p5, p4, p0, p1) + res += self._calculate_volumes_quad_centroid(p6, p7, p4, p5) + res += self._calculate_volumes_quad_centroid(p2, p3, p7, p6) + res += self._calculate_volumes_quad_centroid(p5, p1, p2, p6) + res += self._calculate_volumes_quad_centroid(p4, p7, p3, p0) + return (res / 6).reshape(n, 1) + def _calculate_element_volumes_pyr(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -774,6 +912,21 @@ def _calculate_element_volumes_pyr(self, elements): p0, p1, p2, p4) + self._calculate_element_volumes_tet_like_core( p0, p2, p3, p4) + def _calculate_element_volumes_pyr_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + vol = np.zeros(n, np.float32) + vol += np.linalg.det(np.stack([p0, p1, p4], axis=1)) + vol += np.linalg.det(np.stack([p1, p2, p4], axis=1)) + vol += np.linalg.det(np.stack([p2, p3, p4], axis=1)) + vol += np.linalg.det(np.stack([p3, p0, p4], axis=1)) + vol += self._calculate_volumes_quad_centroid(p1, p0, p3, p2) + return (vol / 6).reshape(n, -1) + def _calculate_element_volumes_prism(self, elements): p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) @@ -788,6 +941,22 @@ def _calculate_element_volumes_prism(self, elements): + self._calculate_element_volumes_tet_like_core( p2, p4, p3, p5) + def _calculate_element_volumes_prism_centroid(self, elements): + n = len(elements.data) + p0 = self.collect_node_positions_by_ids(elements.data[:, 0]) + p1 = self.collect_node_positions_by_ids(elements.data[:, 1]) + p2 = self.collect_node_positions_by_ids(elements.data[:, 2]) + p3 = self.collect_node_positions_by_ids(elements.data[:, 3]) + p4 = self.collect_node_positions_by_ids(elements.data[:, 4]) + p5 = self.collect_node_positions_by_ids(elements.data[:, 5]) + vol = np.zeros(n, np.float32) + vol += np.linalg.det(np.stack([p0, p1, p2], axis=1)) + vol += np.linalg.det(np.stack([p5, p4, p3], axis=1)) + vol += self._calculate_volumes_quad_centroid(p2, p5, p3, p0) + vol += self._calculate_volumes_quad_centroid(p1, p4, p5, p2) + vol += self._calculate_volumes_quad_centroid(p0, p3, p4, p1) + return (vol / 6).reshape(n, -1) + def _calculate_element_volumes_hexprism(self, elements): """Calculate volume of each hexprism elements. @@ -860,6 +1029,40 @@ def _calculate_element_volumes_polyhedron(self, faces): face_csr, nodes) return volumes.reshape((-1, 1)) + @staticmethod + @njit + def _calculate_element_volumes_polyhedron_centroid_core(face_csr, nodes): + indptr, dat = face_csr + P = len(indptr) - 1 + volumes = np.empty(P) + for p in range(P): + poly = dat[indptr[p]:indptr[p + 1]] + n = poly[0] + L = 1 + volume = 0.0 + for _ in range(n): + k = poly[L] + L += 1 + F = nodes[poly[L:L + k]] + L += k + centroid = np.zeros(3, np.float32) + for i in range(k): + centroid += F[i] + centroid /= k + for i in range(k): + volume += np.dot(np.cross(centroid, F[i - 1]), F[i]) + volumes[p] = volume / 6 + return volumes + + def _calculate_element_volumes_polyhedron_centroid(self, faces): + indptr = np.append(0, np.array([len(x) for x in faces], np.int64)) + np.cumsum(indptr, out=indptr) + face_csr = (indptr, np.concatenate(faces)) + nodes = self.nodes.data + volumes = self._calculate_element_volumes_polyhedron_centroid_core( + face_csr, nodes) + return volumes.reshape((-1, 1)) + def make_elements_positive(self): """Perfmute element connectivity order when it has negative volume.""" metric = self.calculate_element_metrics( diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 71afe0a..4deb4dc 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -27,9 +27,13 @@ def test_calculate_volume_hex(self): fem_data = FEMData.read_directory( 'fistr', 'tests/data/fistr/hex_cross', read_npy=False, save=False) - actual_volumes = fem_data.calculate_element_volumes(linear=True) + linear_volumes = fem_data.calculate_element_volumes(mode="linear") + gaussian_volumes = fem_data.calculate_element_volumes(mode="gaussian") + centroid_volumes = fem_data.calculate_element_volumes(mode="centroid") desired_volumes = np.ones((7, 1)) * 8. - np.testing.assert_almost_equal(actual_volumes, desired_volumes) + np.testing.assert_almost_equal(linear_volumes, desired_volumes) + np.testing.assert_almost_equal(gaussian_volumes, desired_volumes) + np.testing.assert_almost_equal(centroid_volumes, desired_volumes) def test_calculate_volume_tet_negative_raise_valueerror(self): fem_data = FEMData.read_directory( @@ -57,7 +61,7 @@ def test_calculate_area_tri(self): [3.], [6.], ]) - fem_data.calculate_element_areas(linear=True) + fem_data.calculate_element_areas() np.testing.assert_almost_equal( fem_data.elemental_data.get_attribute_data('area'), desired_areas) @@ -70,9 +74,12 @@ def test_calculate_area_quad(self): [1.5], [np.sqrt(2)], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + gaussian_areas = fem_data.calculate_element_areas(mode="gaussian") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(gaussian_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_area_quad_gaussian(self): data_directory = 'tests/data/obj/quad' @@ -91,7 +98,7 @@ def test_calculate_area_quad_gaussian(self): [1.5], [np.sqrt(2)], ]) - actual = fem_data.calculate_element_areas(linear=False) + actual = fem_data.calculate_element_areas(mode="gaussian") np.testing.assert_almost_equal(actual, desired_areas) def test_calculate_area_polygon(self): @@ -104,9 +111,10 @@ def test_calculate_area_polygon(self): [1.16], [1.25], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_area_nonconvex(self): data_directory = 'tests/data/vtp/nonconvex' @@ -115,9 +123,10 @@ def test_calculate_area_nonconvex(self): desired_areas = np.array([ [3.], ]) - fem_data.calculate_element_areas(linear=True) - np.testing.assert_almost_equal( - fem_data.elemental_data.get_attribute_data('area'), desired_areas) + linear_areas = fem_data.calculate_element_areas(mode="linear") + centroid_areas = fem_data.calculate_element_areas(mode="centroid") + np.testing.assert_almost_equal(linear_areas, desired_areas) + np.testing.assert_almost_equal(centroid_areas, desired_areas) def test_calculate_volumes_hex_gaussian(self): fem_data = FEMData.read_directory( @@ -133,7 +142,7 @@ def test_calculate_volumes_hex_gaussian(self): fem_data.translation(vx, vy, vz) desired_volumes = np.full((7, 1), 8.0) - actual = fem_data.calculate_element_volumes(linear=False) + actual = fem_data.calculate_element_volumes(mode="gaussian") np.testing.assert_almost_equal(actual, desired_volumes) def test_calculate_volumes_polyhedron(self): @@ -172,7 +181,7 @@ def test_calculate_volumes_polyhedron(self): fem_data = FEMData.read_files( 'polyvtk', 'tests/data/vtu/polyhedron/polyhedron.vtu', ) - desired = np.array([[19/24], [3/2], [1/24]]) + desired = np.array([[19 / 24], [3 / 2], [1 / 24]]) actual = fem_data.calculate_element_volumes() np.testing.assert_almost_equal(actual, desired) @@ -271,10 +280,13 @@ def test_calculate_normal_quad(self): [0., 0., 1.], [-np.sqrt(.5), -np.sqrt(.5), 0.], ]) - fem_data.calculate_element_normals() + normals = fem_data.calculate_element_normals() + normals_centroid = fem_data.calculate_element_normals(mode="centroid") np.testing.assert_almost_equal( - fem_data.extract_direction_feature( - fem_data.elemental_data.get_attribute_data('normal')), + fem_data.extract_direction_feature(normals), + fem_data.extract_direction_feature(desired_normals), decimal=5) + np.testing.assert_almost_equal( + fem_data.extract_direction_feature(normals_centroid), fem_data.extract_direction_feature(desired_normals), decimal=5) def test_calculate_surface_normals(self): @@ -440,7 +452,7 @@ def test_calculate_surface_normals_polyhedron_complex(self): [27, 29, 30, 28]]), 'polygon': np.array([ np.array([1, 2, 9, 20, 19]), - np.array([5, 23, 24, 12, 6]), + np.array([5, 23, 24, 12, 6]), np.array([4, 8, 14, 18, 17, 11]), np.array([20, 21, 27, 28, 25, 24])], dtype=object) } @@ -493,7 +505,7 @@ def test_calculate_elemental_normals_mixed_polygon(self): [1., 0., -0.], [0.70710678, 0.70710678, -0.], [0.70710678, 0.70710678, -0.], - [-0.70710678, 0.70710678, 0.], + [-0.70710678, 0.70710678, 0.], [-1., 0., 0.], [0., 0., 1.], [0., 0., 1.], @@ -680,14 +692,14 @@ def test_translation_and_rotation(self): 'obj', data_directory, read_npy=False, save=False) fem_data.nodal_data.reset() - fem_data.rotation(1, 1, 1, np.pi/2) - a, b, c = 1/3, (1+3**.5)/3, (1-3**.5)/3 + fem_data.rotation(1, 1, 1, np.pi / 2) + a, b, c = 1 / 3, (1 + 3**.5) / 3, (1 - 3**.5) / 3 desired = np.array([0, 0, 0, a, b, c, c, a, b, b, c, a]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) fem_data.translation(1, 2, 3) - desired = np.array([1, 2, 3, a+1, b+2, c+3, c+1, a+2, - b+3, b+1, c+2, a+3]).reshape(4, 3) + desired = np.array([1, 2, 3, a + 1, b + 2, c + 3, c + 1, a + 2, + b + 3, b + 1, c + 2, a + 3]).reshape(4, 3) np.testing.assert_almost_equal(fem_data.nodes.data, desired) vx, vy, vz = np.random.random(3) @@ -700,7 +712,8 @@ def test_translation_and_rotation(self): dist = np.empty((4, 4)) for i in range(4): for j in range(4): - dist[i, j] = (X[i]-X[j])**2 + (Y[i]-Y[j])**2 + (Z[i]-Z[j])**2 + dist[i, j] = (X[i] - X[j])**2 + \ + (Y[i] - Y[j])**2 + (Z[i] - Z[j])**2 desired = np.array([0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0], np.float64).reshape(4, 4) np.testing.assert_almost_equal(dist, desired) @@ -712,8 +725,8 @@ def test_integrate_node_attribute_over_surface(self): 'values', np.array([3, 1, 4, 1, 5], np.float32)) # 123, 124, 134, 235, 245, 345 sq2 = 2 ** .5 - areas = [1/2, 1/2, 1/2, sq2/2, sq2/2, 1/2] - vals = [8/3, 5/3, 8/3, 10/3, 7/3, 10/3] - desired = sum(x*y for x, y in zip(areas, vals)) + areas = [1 / 2, 1 / 2, 1 / 2, sq2 / 2, sq2 / 2, 1 / 2] + vals = [8 / 3, 5 / 3, 8 / 3, 10 / 3, 7 / 3, 10 / 3] + desired = sum(x * y for x, y in zip(areas, vals)) actual = fem_data.integrate_node_attribute_over_surface('values') np.testing.assert_almost_equal(actual, desired) From 11e804ee621717a5a240d7585c9e26b26210c01d Mon Sep 17 00:00:00 2001 From: maspypy Date: Sat, 22 Apr 2023 00:52:07 +0900 Subject: [PATCH 13/26] remove extra spaces --- femio/geometry_processor.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 5c3ac63..02b260d 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -251,7 +251,7 @@ def J2(xi, eta, zeta): res -= J00 * J21 * J12 + J10 * J01 * J22 + J20 * J11 * J02 return res.reshape(-1, 1) / 512 - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_edge_lengths(self): """Calculate edge lengths of each element. Calculated lengths are returned and also stored in @@ -284,7 +284,7 @@ def _calculate_edge_lengths_polygon(self, elements): return edge_lengths - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_angles(self): """Calculate angles of each element. Calculated angles are returned and also stored in @@ -319,7 +319,7 @@ def _calculate_angles_polygon(self, elements): return angles - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_jacobians(self): """Calculate jacobians of each element. Calculated jacobians are returned and also stored in @@ -358,7 +358,7 @@ def projection(p): cross = np.cross(vector1, vector2) return np.linalg.norm(cross, axis=1) - @ functools.lru_cache(maxsize=2) + @functools.lru_cache(maxsize=2) def calculate_surface_normals(self, mode='mean'): """Calculate nodal normal vectors of the surface of a solid mesh. If an node is not on the surface, the vector will be zero. @@ -435,7 +435,7 @@ def calculate_normal_incidence_matrix(self): signed_incidence_data, (coo.row, coo.col))) return facet_data, signed_incidence, facet_normals - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_all_element_normals(self, facet_data=None): """Calculate normal vectors of each elements. If the elements are solid, then multiple normal vectors per solid will be generated. @@ -461,7 +461,7 @@ def calculate_all_element_normals(self, facet_data=None): return np.reshape( normals, (len(self.elements), n_facet_per_element, 3)) - @ functools.lru_cache(maxsize=1) + @functools.lru_cache(maxsize=1) def calculate_element_normals( self, mode="centroid", elements=None, element_type=None, update=True): From 10b583106f6ac9bbcb311a1fd4b0afc020346afc Mon Sep 17 00:00:00 2001 From: horiem Date: Thu, 11 May 2023 04:30:06 +0900 Subject: [PATCH 14/26] support more element types --- femio/config.py | 2 ++ femio/fem_elemental_attribute.py | 1 + 2 files changed, 3 insertions(+) diff --git a/femio/config.py b/femio/config.py index 260a017..59fe893 100644 --- a/femio/config.py +++ b/femio/config.py @@ -192,6 +192,8 @@ # https://vtk.org/doc/nightly/html/vtkCellType_8h_source.html DICT_VTK_ID_TO_ELEMENT_TYPE = { + 1: 'pt', + 3: 'line', 5: 'tri', 9: 'quad', 10: 'tet', diff --git a/femio/fem_elemental_attribute.py b/femio/fem_elemental_attribute.py index ff0a44f..fe84137 100644 --- a/femio/fem_elemental_attribute.py +++ b/femio/fem_elemental_attribute.py @@ -94,6 +94,7 @@ def from_meshio(cls, cell_data): cls._from_meshio(k, v) for k, v in cell_data.items() if k in [ + 'line', 'quad', 'triangle', 'tetra', 'tetra10', 'hexahedron', 'wedge', 'pyramid', 'hexa_prism']}) From 49845d0ccadde23a05ffd2d240856ce447545adc Mon Sep 17 00:00:00 2001 From: horiem Date: Fri, 9 Jun 2023 21:40:00 +0900 Subject: [PATCH 15/26] debug to_facet to support mixed elements --- femio/fem_elemental_attribute.py | 29 ++++++++++++++++++++++++--- femio/functions.py | 6 ++++-- femio/geometry_processor.py | 10 +++++++--- femio/graph_processor.py | 23 ++++++++++++++++++--- tests/test_geometry_processor.py | 27 +++++++++++++++++++++++++ tests/test_graph_processor.py | 34 ++++++++++++++++++++++++++++++++ 6 files changed, 118 insertions(+), 11 deletions(-) diff --git a/femio/fem_elemental_attribute.py b/femio/fem_elemental_attribute.py index fe84137..a580eac 100644 --- a/femio/fem_elemental_attribute.py +++ b/femio/fem_elemental_attribute.py @@ -409,13 +409,33 @@ def _generate_surface_ids_tuple(self, surface_ids_dict): def _generate_surface(self, tuple_surface_ids): ret = {} + last_id_end = 0 for surface_ids in tuple_surface_ids: if len(surface_ids) == 0: continue - ret.update(self._generate_surface_core(surface_ids)) + item_surface = self._generate_surface_core( + surface_ids, last_id_end) + key = list(item_surface.keys())[0] + new_value = list(item_surface.values())[0] + if key in ret: + original_value = ret[key] + try: + data = np.concatenate( + [original_value.data, new_value.data]) + except ValueError: + # Manage if the arrays are not in the same shape + data = np.array( + list(original_value.data) + list(new_value.data)) + ret[key] = FEMAttribute( + key, + ids=np.concatenate([original_value.ids, new_value.ids]), + data=data) + else: + ret.update(item_surface) + last_id_end = new_value.ids[-1] return ret - def _generate_surface_core(self, surface_ids): + def _generate_surface_core(self, surface_ids, last_id_end=0): shape = surface_ids.shape if len(shape) == 1: element_type = 'polygon' @@ -425,13 +445,16 @@ def _generate_surface_core(self, surface_ids): element_type = 'tri' elif n_node_per_element == 4: element_type = 'quad' + elif n_node_per_element > 4: + element_type = 'polygon' else: raise NotImplementedError( f"Unsupported shape of elements: {shape}") return { element_type: FEMAttribute( - element_type, np.arange(len(surface_ids)) + 1, surface_ids)} + element_type, + np.arange(len(surface_ids)) + last_id_end + 1, surface_ids)} def detect_element_type(self, element_data): n_node_per_element = element_data.shape[1] diff --git a/femio/functions.py b/femio/functions.py index 5626b32..18ba711 100644 --- a/femio/functions.py +++ b/femio/functions.py @@ -71,7 +71,7 @@ def align_nnz(sparses): return align_nnz([s.tocsr() for s in sparses]) -def remove_duplicates(connectivities, return_index=False): +def remove_duplicates(connectivities, return_index=False, end=None): """Remove duplicating elements. Parameters @@ -80,6 +80,8 @@ def remove_duplicates(connectivities, return_index=False): Element connectivities. return_index: bool, optional If True, return also indices of unique. + end: int, optional + If fed, use only first `end` elements to detect duplication. Returns ------- @@ -87,7 +89,7 @@ def remove_duplicates(connectivities, return_index=False): Element connectivities without duplications. """ sorted_connectivities = [ - np.sort(connectivity) for connectivity in connectivities] + np.sort(connectivity)[:end] for connectivity in connectivities] _, indices = np.unique(sorted_connectivities, axis=0, return_index=True) if return_index: return connectivities[indices], indices diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 02b260d..cd8cae7 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -402,9 +402,13 @@ def calculate_normal_incidence_matrix(self): facet_data, minimum_n_sharing=3) coo = relative_incidence.tocoo() - tuple_facets = self.extract_facets( - remove_duplicates=False, method=np.stack)[ - self.elements.element_type] + dict_facets = self.extract_facets( + remove_duplicates=False, method=np.stack) + raise ValueError(dict_facets) + if self.elements.element_type == 'mix': + raise ValueError(self.elements.keys()) + else: + tuple_facets = dict_facets[self.elements.element_type] tuple_all_facets = tuple(f[coo.row] for f in tuple_facets) all_normals = self.calculate_all_element_normals()[coo.row] col_facet_elements = facet_data.elements.data[coo.col] diff --git a/femio/graph_processor.py b/femio/graph_processor.py index d5518f0..a861134 100644 --- a/femio/graph_processor.py +++ b/femio/graph_processor.py @@ -227,7 +227,10 @@ def extract_facets( elements, element_type, method=method) if remove_duplicates: - facets = tuple(functions.remove_duplicates(f) for f in facets) + facets = tuple( + functions.remove_duplicates(f) for f in facets) + # facets = tuple( + # functions.remove_duplicates(f, end=3) for f in facets) return {element_type: facets} @@ -339,9 +342,16 @@ def _generate_all_faces( assert 'face' in self.elemental_data, \ 'No face definition found for polyhedron: ' \ f"{self.elemental_data.keys()}" - face_ids = method([ + faces = [ self._parse_polyhedron_faces(f) - for f in self.elemental_data.get_attribute_data('face')]) + for f in self.elemental_data.get_attribute_data('face')] + n_vertices = np.unique([ + len(_f) for f in faces for _f in f]) + + # NOTE: It uses concatenate ignoring `method` + face_ids = tuple( + np.concatenate(self._collect_faces(faces, n)) + for n in n_vertices) else: raise NotImplementedError( f"Unexpected element type: {element_type}") @@ -351,6 +361,13 @@ def _generate_all_faces( else: return (face_ids,) + def _collect_faces(self, faces, n_vertex): + collected_faces = [ + [f for f in face if len(f) == n_vertex] + for face in faces + ] + return [np.stack(f) for f in collected_faces if len(f) > 0] + def _parse_polyhedron_faces(self, faces): def split(n, f): return f[:n], f[n:] diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 4deb4dc..a445367 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -210,6 +210,33 @@ def test_normal_incidence_hex(self): for data, i_cell, i_facet in zip(coo.data, coo.row, coo.col)] np.testing.assert_almost_equal(all_normals, desired_normals) + def test_normal_incidence_openfoam(self): + # fem_data = FEMData.read_files( + # 'vtu', ['tests/data/vtu/complex/mesh.vtu']) + fem_data = FEMData.read_files( + 'vtu', ['tests/data/vtu/openfoam/internal.vtu']) + _, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + coo = inc_facet2cell.tocoo() + desired_normals = np.array([ + [0., 0., -1.], + [0., -1., 0.], + [-1., 0., 0.], + [1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.], + [0., 0., -1.], + [0., -1., 0.], + [-1., 0., 0.], + [1., 0., 0.], + [0., 1., 0.], + [0., 0., 1.], + ]) + all_normals = [ + data * normals[i_facet] + for data, i_cell, i_facet in zip(coo.data, coo.row, coo.col)] + np.testing.assert_almost_equal(all_normals, desired_normals) + def test_relative_incidence_graph_tet1(self): fem_data = FEMData.read_files( 'fistr', ['tests/data/fistr/graph_tet1/mesh.msh']) diff --git a/tests/test_graph_processor.py b/tests/test_graph_processor.py index cf5da8d..d9f411c 100644 --- a/tests/test_graph_processor.py +++ b/tests/test_graph_processor.py @@ -444,6 +444,40 @@ def test_relative_incidence_graph_tet1(self): np.testing.assert_array_equal( inc_facet2cell.toarray().astype(int), desired_inc) + def test_relative_incidence_graph_complex(self): + fem_data = FEMData.read_files( + 'vtu', ['tests/data/vtu/complex/mesh.vtu']) + facet_fem_data = fem_data.to_facets() + facet_fem_data.calculate_element_normals() + facet_fem_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) + inc_facet2cell = fem_data.calculate_relative_incidence_metrix_element( + facet_fem_data, minimum_n_sharing=3) + desired_inc = np.array([ + [ + 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], + [ + 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], + [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, + 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1], + [ + 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0], + [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, + 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, + 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], + [ + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, + 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], + ]) + np.testing.assert_array_equal( + inc_facet2cell.toarray().astype(int), desired_inc) + def test_filter_first_order_nodes(self): fem_data = FEMData.read_directory( 'fistr', 'tests/data/fistr/tet2_3', read_npy=False) From 5de3327f336fbb3e226179f4f05657ddec83eef8 Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 11 Jun 2023 05:52:31 +0900 Subject: [PATCH 16/26] update calculate_normal_incidence_matrix --- femio/fem_data.py | 19 +++- femio/functions.py | 20 ++++- femio/geometry_processor.py | 53 ++++------- femio/graph_processor.py | 50 +++++++++-- tests/test_geometry_processor.py | 148 ++++++++++++++++++++++++++----- 5 files changed, 214 insertions(+), 76 deletions(-) diff --git a/femio/fem_data.py b/femio/fem_data.py index a3c9cd0..8c5f760 100644 --- a/femio/fem_data.py +++ b/femio/fem_data.py @@ -713,7 +713,9 @@ def flatten(indices, element_type): nodes=nodes, elements=elements, nodal_data=nodal_data, elemental_data={}) - def to_facets(self, remove_duplicates=True): + def to_facets( + self, remove_duplicates=True, return_dict_facets=False, + dict_facets=None): """Convert the FEMData object to the facet data including facets inside the solid. @@ -722,19 +724,28 @@ def to_facets(self, remove_duplicates=True): remove_duplicates: bool, optional If True, remove duplicated faces and remain only one. The default is True. + return_dict_facets: bool, optional + If True, also return dict_facets. Returns ------- FEMData: Facets FEMData object. """ - dict_facets = self.extract_facets(remove_duplicates=remove_duplicates) - elements = self.elements.to_surface(dict_facets) + if dict_facets is None: + dict_facets = self.extract_facets( + remove_duplicates=remove_duplicates) - return FEMData( + elements = self.elements.to_surface(dict_facets) + facet_fem_data = FEMData( nodes=self.nodes, elements=elements, nodal_data=self.nodal_data, elemental_data={}) + if return_dict_facets: + return facet_fem_data, dict_facets + else: + return facet_fem_data + @staticmethod @njit def convert_polyhedron(now_ids, new_ids, poly): diff --git a/femio/functions.py b/femio/functions.py index 18ba711..a3991de 100644 --- a/femio/functions.py +++ b/femio/functions.py @@ -71,7 +71,8 @@ def align_nnz(sparses): return align_nnz([s.tocsr() for s in sparses]) -def remove_duplicates(connectivities, return_index=False, end=None): +def remove_duplicates( + connectivities, return_index=False, return_inverse=False, end=None): """Remove duplicating elements. Parameters @@ -80,6 +81,8 @@ def remove_duplicates(connectivities, return_index=False, end=None): Element connectivities. return_index: bool, optional If True, return also indices of unique. + return_inverse: bool, optional + If True, return also the inverse_indice end: int, optional If fed, use only first `end` elements to detect duplication. @@ -90,11 +93,20 @@ def remove_duplicates(connectivities, return_index=False, end=None): """ sorted_connectivities = [ np.sort(connectivity)[:end] for connectivity in connectivities] - _, indices = np.unique(sorted_connectivities, axis=0, return_index=True) + unique = np.unique( + sorted_connectivities, axis=0, + return_index=True, return_inverse=return_inverse) + indices = unique[1] + ret = [connectivities[indices]] + if return_index: - return connectivities[indices], indices + ret.append(indices) + if return_inverse: + ret.append(unique[-1]) + if len(ret) == 1: + return ret[0] else: - return connectivities[indices] + return tuple(ret) def convert_array2symmetric_matrix( diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index cd8cae7..3c34c94 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -399,44 +399,25 @@ def calculate_normal_incidence_matrix(self): """ facet_data = self.to_facets(remove_duplicates=True) relative_incidence = self.calculate_relative_incidence_metrix_element( - facet_data, minimum_n_sharing=3) - coo = relative_incidence.tocoo() + facet_data, minimum_n_sharing=3) # TODO: Fix minimum_n_sharing + coo = relative_incidence.tocoo() # [n_cell, n_facet] - dict_facets = self.extract_facets( - remove_duplicates=False, method=np.stack) - raise ValueError(dict_facets) - if self.elements.element_type == 'mix': - raise ValueError(self.elements.keys()) - else: - tuple_facets = dict_facets[self.elements.element_type] - tuple_all_facets = tuple(f[coo.row] for f in tuple_facets) - all_normals = self.calculate_all_element_normals()[coo.row] - col_facet_elements = facet_data.elements.data[coo.col] + cell_pos = self.convert_nodal2elemental( + self.nodes.data, calc_average=True) + facet_pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) facet_normals = facet_data.calculate_element_normals() - col_facet_normals = facet_normals[coo.col] - - if len(tuple_all_facets) > 1: - raise NotImplementedError - else: - all_facets = tuple_all_facets[0] - - inner_prods = np.concatenate([ - np.dot( - all_normal[np.all(np.isin(all_facet, facet_element), axis=1)], - facet_normal) - for all_facet, all_normal, facet_element, facet_normal - in zip( - all_facets, all_normals, - col_facet_elements, col_facet_normals)]) - if np.sum(np.logical_and( - -1 + 1e-3 < inner_prods, inner_prods < 1 - 1e-3)) > 0: - raise ValueError( - f"Normal vector computation failed: {inner_prods}") - signed_incidence_data = np.zeros(len(inner_prods), dtype=int) - signed_incidence_data[1. - 1e-3 < inner_prods] = 1 - signed_incidence_data[inner_prods < -1. + 1e-3] = -1 - signed_incidence = sp.csr_matrix(( - signed_incidence_data, (coo.row, coo.col))) + rela_x = coo.multiply(facet_pos[:, 0]) - coo.T.multiply( + cell_pos[:, 0]).T + rela_y = coo.multiply(facet_pos[:, 1]) - coo.T.multiply( + cell_pos[:, 1]).T + rela_z = coo.multiply(facet_pos[:, 2]) - coo.T.multiply( + cell_pos[:, 2]).T + dots = rela_x.multiply(facet_normals[:, 0]) + rela_y.multiply( + facet_normals[:, 1]) + rela_z.multiply(facet_normals[:, 2]) + dots.data[dots.data < 0] = -1 + dots.data[dots.data >= 0] = 1 + signed_incidence = coo.multiply(dots).tocsr() return facet_data, signed_incidence, facet_normals @functools.lru_cache(maxsize=1) diff --git a/femio/graph_processor.py b/femio/graph_processor.py index a861134..5567a49 100644 --- a/femio/graph_processor.py +++ b/femio/graph_processor.py @@ -210,13 +210,36 @@ def extract_facets( if hasattr(elements, 'element_type'): if elements.element_type == 'mix': - return { + dict_element_facet = { element_type: self.extract_facets( element, element_type=element_type, - remove_duplicates=remove_duplicates, method=method)[ + remove_duplicates=False, method=method)[ element_type] for element_type, element in self.elements.items()} + n_vertices = np.unique([ + len(f[0]) for facet in dict_element_facet.values() + for f in facet]) + + dict_vertices_facet = {} + for i_vertices in n_vertices: + dict_vertices_facet[i_vertices] = [] + for key, facet in dict_element_facet.items(): + for f in facet: + if len(f[0]) == i_vertices: + dict_vertices_facet[i_vertices].append(f) + + if remove_duplicates: + dict_vertices_facet[i_vertices] \ + = functions.remove_duplicates(np.concatenate( + dict_vertices_facet[i_vertices])) + else: + dict_vertices_facet[i_vertices] \ + = np.concatenate( + dict_vertices_facet[i_vertices]) + + return {'mix': tuple(v for v in dict_vertices_facet.values())} + else: elements = list(elements.values())[0] @@ -229,8 +252,6 @@ def extract_facets( if remove_duplicates: facets = tuple( functions.remove_duplicates(f) for f in facets) - # facets = tuple( - # functions.remove_duplicates(f, end=3) for f in facets) return {element_type: facets} @@ -349,9 +370,16 @@ def _generate_all_faces( len(_f) for f in faces for _f in f]) # NOTE: It uses concatenate ignoring `method` - face_ids = tuple( - np.concatenate(self._collect_faces(faces, n)) - for n in n_vertices) + if method == np.concatenate: + face_ids = tuple( + np.concatenate(self._collect_faces_concat(faces, n)) + for n in n_vertices) + elif method == np.stack: + face_ids = tuple( + np.array(self._collect_faces_stack(faces, n)) + for n in n_vertices) + else: + raise ValueError(f"Unexpected method: {method}") else: raise NotImplementedError( f"Unexpected element type: {element_type}") @@ -361,13 +389,19 @@ def _generate_all_faces( else: return (face_ids,) - def _collect_faces(self, faces, n_vertex): + def _collect_faces_concat(self, faces, n_vertex): collected_faces = [ [f for f in face if len(f) == n_vertex] for face in faces ] return [np.stack(f) for f in collected_faces if len(f) > 0] + def _collect_faces_stack(self, faces, n_vertex): + return np.array([ + np.array([f for f in face if len(f) == n_vertex]) + for face in faces + ]) + def _parse_polyhedron_faces(self, faces): def split(n, f): return f[:n], f[n:] diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index a445367..8d54321 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -4,6 +4,7 @@ import numpy as np from femio.fem_data import FEMData +from femio.util import brick_generator RUN_FISTR = True @@ -13,6 +14,10 @@ FISTR_INP_FILE = 'tests/data/fistr/thermal/fistr_hex.inp' +def rmse(x, y): + return np.mean((x - y)**2)**.5 + + class TestGeometryProcessor(unittest.TestCase): def test_calculate_volume_tet(self): @@ -188,9 +193,23 @@ def test_calculate_volumes_polyhedron(self): def test_normal_incidence_hex(self): fem_data = FEMData.read_files( 'vtk', ['tests/data/vtk/hex/mesh.vtk']) - _, inc_facet2cell, normals \ + facet_data, inc_facet2cell, normals \ = fem_data.calculate_normal_incidence_matrix() coo = inc_facet2cell.tocoo() + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + np.testing.assert_almost_equal(actual_grad_x[:, 0], 1) + np.testing.assert_almost_equal(actual_grad_x[:, 1:], 0) + + # fem_data.elemental_data.update_data( + # fem_data.elements.ids, {'grad_x': actual_grad_x}) + # fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + desired_normals = np.array([ [0., 0., -1.], [0., -1., 0.], @@ -210,32 +229,113 @@ def test_normal_incidence_hex(self): for data, i_cell, i_facet in zip(coo.data, coo.row, coo.col)] np.testing.assert_almost_equal(all_normals, desired_normals) + def test_normal_incidence_brick_hex(self): + fem_data = brick_generator.generate_brick('hex', 2, 3, 4) + facet_data, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + # fem_data.elemental_data.update_data( + # fem_data.elements.ids, {'grad_x': actual_grad_x}) + # fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + + np.testing.assert_almost_equal(actual_grad_x[:, 0], 1) + np.testing.assert_almost_equal(actual_grad_x[:, 1:], 0) + + def test_normal_incidence_brick_tet(self): + fem_data = brick_generator.generate_brick('tet', 2, 3, 4) + facet_data, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + fem_data.elemental_data.update_data( + fem_data.elements.ids, {'grad_x': actual_grad_x}) + fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + + np.testing.assert_almost_equal(actual_grad_x[:, 0], 1) + np.testing.assert_almost_equal(actual_grad_x[:, 1:], 0) + + def test_normal_incidence_wedge(self): + fem_data = FEMData.read_files( + 'vtu', ['tests/data/vtu/wedge/mesh.vtu']) + facet_data, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + fem_data.elemental_data.update_data( + fem_data.elements.ids, {'grad_x': actual_grad_x}) + fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + facet_data.elemental_data.update_data( + facet_data.elements.ids, {'normal': normals}, allow_overwrite=True) + facet_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) + + np.testing.assert_almost_equal(actual_grad_x[:, 0], 1) + np.testing.assert_almost_equal(actual_grad_x[:, 1:], 0) + + def test_normal_incidence_cylinder(self): + fem_data = FEMData.read_files( + 'vtu', ['tests/data/vtu/cylinder/internal.vtu']) + facet_data, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + fem_data.elemental_data.update_data( + fem_data.elements.ids, {'grad_x': actual_grad_x}) + fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + + np.testing.assert_almost_equal( + rmse(actual_grad_x[:, 0], 1.), 0, decimal=3) + np.testing.assert_almost_equal( + rmse(actual_grad_x[:, 1:], 0.), 0, decimal=2) + def test_normal_incidence_openfoam(self): - # fem_data = FEMData.read_files( - # 'vtu', ['tests/data/vtu/complex/mesh.vtu']) fem_data = FEMData.read_files( - 'vtu', ['tests/data/vtu/openfoam/internal.vtu']) - _, inc_facet2cell, normals \ + 'vtu', ['tests/data/vtu/light_openfoam/internal.vtu']) + facet_data, inc_facet2cell, normals \ = fem_data.calculate_normal_incidence_matrix() - coo = inc_facet2cell.tocoo() - desired_normals = np.array([ - [0., 0., -1.], - [0., -1., 0.], - [-1., 0., 0.], - [1., 0., 0.], - [0., 1., 0.], - [0., 0., 1.], - [0., 0., -1.], - [0., -1., 0.], - [-1., 0., 0.], - [1., 0., 0.], - [0., 1., 0.], - [0., 0., 1.], - ]) - all_normals = [ - data * normals[i_facet] - for data, i_cell, i_facet in zip(coo.data, coo.row, coo.col)] - np.testing.assert_almost_equal(all_normals, desired_normals) + + pos = facet_data.convert_nodal2elemental( + facet_data.nodes.data, calc_average=True) + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + fem_data.elemental_data.update_data( + fem_data.elements.ids, {'grad_x': actual_grad_x}) + fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + facet_data.elemental_data.update_data( + facet_data.elements.ids, {'normal': normals}, allow_overwrite=True) + facet_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) + + np.testing.assert_almost_equal( + rmse(actual_grad_x[:, 0], 1.), 0, decimal=3) + np.testing.assert_almost_equal( + rmse(actual_grad_x[:, 1:], 0.), 0, decimal=2) def test_relative_incidence_graph_tet1(self): fem_data = FEMData.read_files( From 78f409a9e9d3635d977556f8c7603a61ef2b7feb Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 11 Jun 2023 14:28:40 +0900 Subject: [PATCH 17/26] debug to_surface --- femio/graph_processor.py | 8 ++++++-- tests/test_geometry_processor.py | 14 ++++++++------ 2 files changed, 14 insertions(+), 8 deletions(-) diff --git a/femio/graph_processor.py b/femio/graph_processor.py index 5567a49..ad24d53 100644 --- a/femio/graph_processor.py +++ b/femio/graph_processor.py @@ -68,10 +68,14 @@ def extract_surface(self, elements=None, element_type=None): if 4 in unique_n_nodes: dict_facet_shapes['quad'].append( np.stack(f[n_nodes == 4])) - dict_facet_shapes['polygon'].append(f[n_nodes > 4]) + dict_facet_shapes['polygon'] += list(f[n_nodes > 4]) extracted_surface_info = { - k: self._extract_surface(np.concatenate(v, axis=0), facet_type=k) + k: + self._extract_surface(np.array(v), facet_type=k) + if k == 'polygon' + else + self._extract_surface(np.concatenate(v, axis=0), facet_type=k) for k, v in dict_facet_shapes.items() if len(v) > 0} if len(extracted_surface_info) == 1: s = list(extracted_surface_info.values())[0] diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 8d54321..a4464df 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -512,13 +512,15 @@ def test_calculate_surface_normals_polyhedron_complex(self): data_file = pathlib.Path('tests/data/vtu/complex/mesh.vtu') fem_data = FEMData.read_files('polyvtk', data_file) normals = fem_data.calculate_surface_normals() - fem_data.write( - 'polyvtk', 'tests/data/vtu/write_complex/mesh.vtu', - overwrite=True) surface_fem_data = fem_data.to_surface() - surface_fem_data.write( - 'vtp', 'tests/data/vtp/write_surface_complex/mesh.vtp', - overwrite=True) + + # fem_data.write( + # 'polyvtk', 'tests/data/vtu/write_complex/mesh.vtu', + # overwrite=True) + # surface_fem_data.write( + # 'vtp', 'tests/data/vtp/write_surface_complex/mesh.vtp', + # overwrite=True) + desired_normals = np.array([ [-0.57735027, -0.57735027, -0.57735027], [0., -0.6, -0.8], From 0972be5e732255c2532bda73999be122429c32ae Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 11 Jun 2023 14:32:37 +0900 Subject: [PATCH 18/26] add test data --- tests/data/vtu/cylinder/internal.vtu | 22576 +++++++++++++++++++ tests/data/vtu/light_openfoam/internal.vtu | 476 + 2 files changed, 23052 insertions(+) create mode 100644 tests/data/vtu/cylinder/internal.vtu create mode 100644 tests/data/vtu/light_openfoam/internal.vtu diff --git a/tests/data/vtu/cylinder/internal.vtu b/tests/data/vtu/cylinder/internal.vtu new file mode 100644 index 0000000..4664cc2 --- /dev/null +++ b/tests/data/vtu/cylinder/internal.vtu @@ -0,0 +1,22576 @@ + + + + + + +0 + + + + + +-0.489831 -1.93298 0 -0.257289 -1.9831 0 +0.000337851 -1.99461 0 0.251402 -1.97687 0 +0.491422 -1.93365 0 -1.0158 -1.7148 0 +-0.793441 -1.82883 0 -0.507053 -1.75953 0 +-0.255303 -1.76144 0 -0.000528682 -1.76338 0 +0.253751 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c50d776cf2a855030d467411bedd996483329ec1 Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 11 Jun 2023 23:45:07 +0900 Subject: [PATCH 20/26] add centroid computation --- femio/geometry_processor.py | 86 +++++++++++++++++++++++- femio/graph_processor.py | 15 ++++- tests/test_geometry_processor.py | 112 ++++++++++++++++++++++++++----- 3 files changed, 193 insertions(+), 20 deletions(-) diff --git a/femio/geometry_processor.py b/femio/geometry_processor.py index 3c34c94..69c21ae 100644 --- a/femio/geometry_processor.py +++ b/femio/geometry_processor.py @@ -2,7 +2,6 @@ from numba import njit import numpy as np -import scipy.sparse as sp from .fem_attribute import FEMAttribute from . import functions @@ -10,6 +9,89 @@ class GeometryProcessorMixin: + def calculate_element_centroids(self, element_type=None, elements=None): + """Calculate centroid of each element. + + Parameters + ---------- + element_type: str, optional + Element type of the element. + elements: femio.FEMAttribute, optional + If fed, compute centroids for the fed one. + + Returns + ------- + centroid: numpy.ndarray[float] + [n_elemnt, 3] shaped array of centroid coordinates. + """ + if elements is None: + element_type = self.elements.element_type + elements = self.elements + if element_type is None: + raise ValueError('Feed element_type when elements is fed') + + if element_type == 'tri': + centroid = self.convert_nodal2elemental(self.nodes.data) + elif element_type == 'quad': + centroid = self._calculate_element_centroids_quad(elements) + elif element_type == 'polygon': + centroid = self._calculate_element_centroids_polygon(elements) + elif element_type == 'mix': + centroid = np.zeros((len(self.elements), 3)) + for k, e in self.elements.items(): + partial_centroid = self.calculate_element_centroids( + elements=e, element_type=k) + centroid[self.elements.types == k] = partial_centroid + else: + raise NotImplementedError(element_type) + + return centroid + + def _calculate_element_centroids_quad(self, elements): + element_data = elements.data + node0_points = self.collect_node_positions_by_ids(element_data[:, 0]) + node1_points = self.collect_node_positions_by_ids(element_data[:, 1]) + node2_points = self.collect_node_positions_by_ids(element_data[:, 2]) + node3_points = self.collect_node_positions_by_ids(element_data[:, 3]) + + v10 = node1_points - node0_points + v20 = node2_points - node0_points + crosses1 = np.cross(v10, v20) + v32 = node3_points - node2_points + v02 = node0_points - node2_points + crosses2 = np.cross(v32, v02) + areas1 = np.linalg.norm(crosses1, axis=1, keepdims=True) / 2 + areas2 = np.linalg.norm(crosses2, axis=1, keepdims=True) / 2 + + center1 = (node0_points + node1_points + node2_points) / 3 + center2 = (node0_points + node2_points + node3_points) / 3 + + return (center1 * areas1 + center2 * areas2) / (areas1 + areas2) + + def _calculate_element_centroids_polygon(self, elements): + centroid = np.stack([ + self._calculate_element_centroid_polygon(e) + for e in elements.data], axis=0) + return centroid + + def _calculate_element_centroid_polygon(self, element): + triangle_elements = self._trianglate_polygon(element) + node0_points = self.collect_node_positions_by_ids( + triangle_elements[:, 0]) + node1_points = self.collect_node_positions_by_ids( + triangle_elements[:, 1]) + node2_points = self.collect_node_positions_by_ids( + triangle_elements[:, 2]) + centers = (node0_points + node1_points + node2_points) / 3 + + v10 = node1_points - node0_points + v20 = node2_points - node0_points + crosses = np.cross(v10, v20) + return np.einsum( + 'e,ep->p', + np.linalg.norm(crosses, axis=1), centers) \ + / np.linalg.norm(np.sum(crosses, axis=0)) + def calculate_element_areas( self, *, mode="centroid", raise_negative_area=False, return_abs_area=True, elements=None, element_type=None, @@ -399,7 +481,7 @@ def calculate_normal_incidence_matrix(self): """ facet_data = self.to_facets(remove_duplicates=True) relative_incidence = self.calculate_relative_incidence_metrix_element( - facet_data, minimum_n_sharing=3) # TODO: Fix minimum_n_sharing + facet_data, minimum_n_sharing=None) # TODO: Fix minimum_n_sharing coo = relative_incidence.tocoo() # [n_cell, n_facet] cell_pos = self.convert_nodal2elemental( diff --git a/femio/graph_processor.py b/femio/graph_processor.py index ad24d53..b9b59fc 100644 --- a/femio/graph_processor.py +++ b/femio/graph_processor.py @@ -447,7 +447,7 @@ def calculate_filter_by_ids(self, all_ids, extracting_ids): return filter_ def calculate_relative_incidence_metrix_element( - self, other_fem_data, minimum_n_sharing): + self, other_fem_data, minimum_n_sharing=None): """Calculate incidence matrix from other_fem_data to self based on elements, i.e., the resultant incidence matrix being of the shape (n_self_element, n_other_element). @@ -468,8 +468,17 @@ def calculate_relative_incidence_metrix_element( int) # (n_self_element, n_node) other_incidence = other_fem_data.calculate_incidence_matrix().astype( int) # (n_node, n_other_element) - relative_incidence = self_incidence.dot(other_incidence) \ - >= minimum_n_sharing # (n_self_element, n_other_elemnt) + if minimum_n_sharing is None: + n_vertex = np.array(other_incidence.sum(axis=0))[0] + dot = self_incidence.dot(other_incidence).tocoo() + col = dot.col + filter_ = dot.data >= n_vertex[col] + relative_incidence = sp.csr_matrix(( + np.ones(np.sum(filter_), dtype=bool), + (dot.row[filter_], dot.col[filter_])), shape=dot.shape) + else: + relative_incidence = self_incidence.dot(other_incidence) \ + >= minimum_n_sharing # (n_self_element, n_other_elemnt) return relative_incidence @functools.lru_cache(maxsize=1) diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index a4464df..77bdd74 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -4,6 +4,8 @@ import numpy as np from femio.fem_data import FEMData +from femio.fem_attribute import FEMAttribute +from femio.fem_elemental_attribute import FEMElementalAttribute from femio.util import brick_generator @@ -14,12 +16,57 @@ FISTR_INP_FILE = 'tests/data/fistr/thermal/fistr_hex.inp' -def rmse(x, y): - return np.mean((x - y)**2)**.5 +def rmse(x, y, weight=None): + if weight is None: + weight = 1 + return (np.sum((x - y)**2 * weight) / np.sum(weight))**.5 class TestGeometryProcessor(unittest.TestCase): + def test_calculate_element_centroids_quad(self): + fem_data = brick_generator.generate_brick( + 'quad', 3, 1, x_length=3., y_length=1.) + fem_data.nodes.data[-1, 0] = 2. + # raise ValueError(fem_data.nodes.data) + actual_centroid = fem_data.calculate_element_centroids() + desired_centroid = np.array([ + [.5, .5, 0.], + [1.5, .5, 0.], + [2 + 1/3, 1/3, 0], + ]) + np.testing.assert_almost_equal(actual_centroid, desired_centroid) + + def test_calculate_element_centroids_polygon(self): + nodes = FEMAttribute( + 'NODE', ids=np.arange(7)+1, data=np.array([ + [0., 0., 0.], + [1., 0., 0.], + [1.5, 0., 0.], + [2., 0., 0.], + [0., 1., 0.], + [1., 1., 0.], + [2., 1., 0.]])) + elements = FEMElementalAttribute( + 'ELEMENT', ids=np.array([1, 2]), + data={ + 'quad': FEMAttribute( + 'quad', ids=np.array([1]), data=np.array([ + [1, 2, 6, 5], + ])), + 'polygon': FEMAttribute( + 'polygon', ids=np.array([2]), data=np.array([ + [2, 3, 4, 7, 6], + ])), + }) + fem_data = FEMData(nodes=nodes, elements=elements) + actual_centroid = fem_data.calculate_element_centroids() + desired_centroid = np.array([ + [.5, .5, 0.], + [1.5, .5, 0.], + ]) + np.testing.assert_almost_equal(actual_centroid, desired_centroid) + def test_calculate_volume_tet(self): fem_data = FEMData.read_directory( 'fistr', 'tests/data/fistr/tet_volume', read_npy=False, @@ -312,30 +359,65 @@ def test_normal_incidence_cylinder(self): np.testing.assert_almost_equal( rmse(actual_grad_x[:, 1:], 0.), 0, decimal=2) - def test_normal_incidence_openfoam(self): + def test_normal_incidence_light_openfoam(self): fem_data = FEMData.read_files( 'vtu', ['tests/data/vtu/light_openfoam/internal.vtu']) facet_data, inc_facet2cell, normals \ = fem_data.calculate_normal_incidence_matrix() - pos = facet_data.convert_nodal2elemental( - facet_data.nodes.data, calc_average=True) + pos = facet_data.calculate_element_centroids() volume = fem_data.calculate_element_volumes() area = facet_data.calculate_element_areas() actual_grad_x = inc_facet2cell.dot( np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume - fem_data.elemental_data.update_data( - fem_data.elements.ids, {'grad_x': actual_grad_x}) - fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) - facet_data.elemental_data.update_data( - facet_data.elements.ids, {'normal': normals}, allow_overwrite=True) - facet_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) + # cell_pos = fem_data.convert_nodal2elemental( + # fem_data.nodes.data, calc_average=True) + # fem_data.elemental_data.update_data( + # fem_data.elements.ids, { + # 'elem_index': fem_data.elements.ids[:, None] - 1, + # 'grad_x': actual_grad_x, 'pos': cell_pos, + # }) + # fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + # facet_data.elemental_data.update_data( + # facet_data.elements.ids, { + # 'elem_index': facet_data.elements.ids[:, None] - 1, + # 'normal': normals, 'pos': pos, + # }, allow_overwrite=True) + # facet_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) - np.testing.assert_almost_equal( - rmse(actual_grad_x[:, 0], 1.), 0, decimal=3) - np.testing.assert_almost_equal( - rmse(actual_grad_x[:, 1:], 0.), 0, decimal=2) + assert rmse(actual_grad_x[:, 0], 1., volume) < .02 + assert rmse(actual_grad_x[:, 1:], 0., volume) < .002 + + def test_normal_incidence_mid_openfoam(self): + fem_data = FEMData.read_files( + 'vtu', ['tests/data/vtu/mid_openfoam/internal.vtu']) + facet_data, inc_facet2cell, normals \ + = fem_data.calculate_normal_incidence_matrix() + + pos = facet_data.calculate_element_centroids() + volume = fem_data.calculate_element_volumes() + area = facet_data.calculate_element_areas() + actual_grad_x = inc_facet2cell.dot( + np.einsum('f,f,fp->fp', pos[:, 0], area[:, 0], normals)) / volume + + # cell_pos = fem_data.convert_nodal2elemental( + # fem_data.nodes.data, calc_average=True) + # fem_data.elemental_data.update_data( + # fem_data.elements.ids, { + # 'elem_index': fem_data.elements.ids[:, None] - 1, + # 'grad_x': actual_grad_x, 'pos': cell_pos, + # }) + # fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) + # facet_data.elemental_data.update_data( + # facet_data.elements.ids, { + # 'elem_index': facet_data.elements.ids[:, None] - 1, + # 'normal': normals, 'pos': pos, + # }, allow_overwrite=True) + # facet_data.write('vtp', 'data/tmp/mesh.vtp', overwrite=True) + + assert rmse(actual_grad_x[:, 0], 1., volume) < .2 + assert rmse(actual_grad_x[:, 1:], 0., volume) < .005 def test_relative_incidence_graph_tet1(self): fem_data = FEMData.read_files( From 8d846a62c89b9a9f25799dd3176a3552b10e823c Mon Sep 17 00:00:00 2001 From: horiem Date: Sun, 11 Jun 2023 23:56:19 +0900 Subject: [PATCH 21/26] update test criteria --- tests/test_geometry_processor.py | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/tests/test_geometry_processor.py b/tests/test_geometry_processor.py index 77bdd74..c4400e2 100644 --- a/tests/test_geometry_processor.py +++ b/tests/test_geometry_processor.py @@ -354,10 +354,8 @@ def test_normal_incidence_cylinder(self): fem_data.elements.ids, {'grad_x': actual_grad_x}) fem_data.write('vtu', 'data/tmp/mesh.vtu', overwrite=True) - np.testing.assert_almost_equal( - rmse(actual_grad_x[:, 0], 1.), 0, decimal=3) - np.testing.assert_almost_equal( - rmse(actual_grad_x[:, 1:], 0.), 0, decimal=2) + assert rmse(actual_grad_x[:, 0], 1., volume) < .05 + assert rmse(actual_grad_x[:, 1:], 0., volume) < .002 def test_normal_incidence_light_openfoam(self): fem_data = FEMData.read_files( From e3f2a06d09eebe51e3c079931688c67be8ba982b Mon Sep 17 00:00:00 2001 From: horiem Date: Wed, 13 Sep 2023 03:11:05 +0900 Subject: [PATCH 22/26] update pyproject.toml --- pyproject.toml | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index 5b5a9d8..888bfd0 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -14,16 +14,15 @@ kiwisolver = "==1.0.1" matplotlib = "^3.1" meshio = "^3.3" networkx = "^2.4" -numba = "^0.53.1" +numba = ">=0.53.1" numpy = "^1.20" numpy-stl = "^2.13" pandas = "^1.0" -scikit-learn = "^0.24.0" scipy = "^1.7.0" lxml = "^4.6.3" +vtk = "^9.0.3" +mayavi = "^4.7.3" PyQt5 = {version = "^5.14.0", optional = true} -vtk = {version = "^9.0.3", optional = true} -mayavi = {version = "^4.7.3", optional = true} [tool.poetry.extras] PyQt5 = ["PyQt5"] From 91636e5a88f186a48b42bc81f954dbc5ae377aee Mon Sep 17 00:00:00 2001 From: horiem Date: Fri, 10 Nov 2023 16:32:02 +0900 Subject: [PATCH 23/26] add test data --- tests/data/vtu/polygons/mesh.vtu | 41 ++++++++++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 tests/data/vtu/polygons/mesh.vtu diff --git a/tests/data/vtu/polygons/mesh.vtu b/tests/data/vtu/polygons/mesh.vtu new file mode 100644 index 0000000..21a0043 --- /dev/null +++ b/tests/data/vtu/polygons/mesh.vtu @@ -0,0 +1,41 @@ + + + + + + + + + + 0.0 0.0 0.0 + 0.0 1.0 0.0 + 0.5 1.5 0.0 + 1.0 1.0 0.0 + 1.0 0.0 0.0 + 0.0 0.0 1.0 + 0.0 1.0 1.0 + 0.5 1.5 1.0 + 1.0 1.0 1.0 + 1.0 0.0 1.0 + -0.2 0.0 0.2 + -0.2 0.0 0.8 + 1.0 1.5 0.5 + + + + + 0 1 2 3 4 + 5 9 8 7 6 + 0 4 9 5 11 10 + 4 3 12 8 9 + + + 5 10 16 21 + + + 7 7 7 7 + + + + + From 86a1329762d0c1878f2c77b3c9edc0ca8c1d1ab0 Mon Sep 17 00:00:00 2001 From: horiem Date: Fri, 10 Nov 2023 16:32:15 +0900 Subject: [PATCH 24/26] add polygon support for vtu --- femio/config.py | 1 + femio/io.py | 2 +- tests/format/polyvtk/test_polyvtk.py | 12 ++++++++++++ 3 files changed, 14 insertions(+), 1 deletion(-) diff --git a/femio/config.py b/femio/config.py index 59fe893..dbed7d3 100644 --- a/femio/config.py +++ b/femio/config.py @@ -195,6 +195,7 @@ 1: 'pt', 3: 'line', 5: 'tri', + 7: 'polygon', 9: 'quad', 10: 'tet', 11: 'voxel', diff --git a/femio/io.py b/femio/io.py index 4a3f92c..1e48f95 100644 --- a/femio/io.py +++ b/femio/io.py @@ -146,7 +146,7 @@ def convert_to_2d_if_needed(x): def stack_if_needed(type_id, data): - if type_id == 42: + if type_id in [42, 7]: return data else: return np.stack(data) diff --git a/tests/format/polyvtk/test_polyvtk.py b/tests/format/polyvtk/test_polyvtk.py index 1f64453..5610142 100644 --- a/tests/format/polyvtk/test_polyvtk.py +++ b/tests/format/polyvtk/test_polyvtk.py @@ -266,3 +266,15 @@ def test_read_vtk_voxel(self): [1, 8, 9, 3, 5, 10, 11, 7], ]) ) + + def test_read_vtk_polygon(self): + file_name = pathlib.Path('tests/data/vtu/polygons/mesh.vtu') + fem_data = FEMData.read_files('vtu', [file_name]) + + ref_file_name = pathlib.Path('tests/data/vtp/polys/mesh.vtp') + ref_fem_data = FEMData.read_files('vtp', [ref_file_name]) + + np.testing.assert_almost_equal( + fem_data.nodes.data, ref_fem_data.nodes.data) + for d, r in zip(fem_data.elements.data, ref_fem_data.elements.data): + np.testing.assert_array_equal(d, r) From 2097c07fbedec7f28192c2c677a8bd42a23ac3cb Mon Sep 17 00:00:00 2001 From: horiem Date: Fri, 10 Nov 2023 17:25:46 +0900 Subject: [PATCH 25/26] update mayavi --- pyproject.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 888bfd0..97b8d16 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -21,7 +21,7 @@ pandas = "^1.0" scipy = "^1.7.0" lxml = "^4.6.3" vtk = "^9.0.3" -mayavi = "^4.7.3" +mayavi = "^4.8.1" PyQt5 = {version = "^5.14.0", optional = true} [tool.poetry.extras] From ca229f1006c46eb1f670b74d392dfbbb0ff074e2 Mon Sep 17 00:00:00 2001 From: horiem Date: Fri, 10 Nov 2023 17:27:10 +0900 Subject: [PATCH 26/26] fix test data --- pyproject.toml | 2 +- tests/data/vtu/polygons/mesh.vtu | 4 ++-- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index 97b8d16..888bfd0 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -21,7 +21,7 @@ pandas = "^1.0" scipy = "^1.7.0" lxml = "^4.6.3" vtk = "^9.0.3" -mayavi = "^4.8.1" +mayavi = "^4.7.3" PyQt5 = {version = "^5.14.0", optional = true} [tool.poetry.extras] diff --git a/tests/data/vtu/polygons/mesh.vtu b/tests/data/vtu/polygons/mesh.vtu index 21a0043..1b4fa12 100644 --- a/tests/data/vtu/polygons/mesh.vtu +++ b/tests/data/vtu/polygons/mesh.vtu @@ -23,13 +23,13 @@ - + 0 1 2 3 4 5 9 8 7 6 0 4 9 5 11 10 4 3 12 8 9 - + 5 10 16 21