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|
# Copyright (C) 2011-2021 Garth N. Wells and Jørgen S. Dokken
#
# This file is part of DOLFINx (https://www.fenicsproject.org)
#
# SPDX-License-Identifier: LGPL-3.0-or-later
from pathlib import Path
from mpi4py import MPI
import numpy as np
import pytest
from numpy.testing import assert_array_equal
import ufl
from basix.ufl import element, mixed_element
from dolfinx import default_real_type
from dolfinx.fem import Function, functionspace
from dolfinx.io import VTKFile
from dolfinx.io.utils import cell_perm_vtk # F401
from dolfinx.mesh import (
CellType,
create_mesh,
create_unit_cube,
create_unit_interval,
create_unit_square,
)
from dolfinx.plot import vtk_mesh
cell_types_2D = [CellType.triangle, CellType.quadrilateral]
cell_types_3D = [CellType.tetrahedron, CellType.hexahedron]
def test_save_1d_mesh_subdir(tempdir):
filename = Path(tempdir, "mesh.pvd")
mesh = create_unit_interval(MPI.COMM_WORLD, 32)
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_mesh(mesh)
vtk.write_mesh(mesh, 1)
@pytest.mark.parametrize("cell_type", cell_types_2D)
def test_save_2d_mesh(tempdir, cell_type):
mesh = create_unit_square(MPI.COMM_WORLD, 32, 32, cell_type=cell_type)
filename = Path(tempdir, f"mesh_{cell_type.name}.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_mesh(mesh, 0.0)
vtk.write_mesh(mesh, 2.0)
@pytest.mark.parametrize("cell_type", cell_types_3D)
def test_save_3d_mesh(tempdir, cell_type):
mesh = create_unit_cube(MPI.COMM_WORLD, 8, 8, 8, cell_type=cell_type)
filename = Path(tempdir, f"mesh_{cell_type.name}.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_mesh(mesh, 0.0)
vtk.write_mesh(mesh, 2.0)
def test_save_1d_scalar(tempdir):
mesh = create_unit_interval(MPI.COMM_WORLD, 32)
u = Function(functionspace(mesh, ("Lagrange", 2)))
u.interpolate(lambda x: x[0])
filename = Path(tempdir, "u.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
@pytest.mark.parametrize("cell_type", cell_types_2D)
def test_save_2d_scalar(tempdir, cell_type):
mesh = create_unit_square(MPI.COMM_WORLD, 16, 16, cell_type=cell_type)
u = Function(functionspace(mesh, ("Lagrange", 2)))
u.x.array[:] = 1.0
filename = Path(tempdir, "u.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
vtk.write_function(u, 1.0)
@pytest.mark.parametrize("cell_type", cell_types_3D)
def test_save_3d_scalar(tempdir, cell_type):
mesh = create_unit_cube(MPI.COMM_WORLD, 8, 8, 8, cell_type=cell_type)
u = Function(functionspace(mesh, ("Lagrange", 2)))
u.x.array[:] = 1.0
filename = Path(tempdir, "u.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
vtk.write_function(u, 1.0)
def test_save_1d_vector(tempdir):
mesh = create_unit_interval(MPI.COMM_WORLD, 32)
def f(x):
vals = np.zeros((2, x.shape[1]))
vals[0] = x[0]
vals[1] = 2 * x[0] * x[0]
return vals
e = element("Lagrange", mesh.basix_cell(), 2, shape=(2,), dtype=default_real_type)
u = Function(functionspace(mesh, e))
u.interpolate(f)
filename = Path(tempdir, "u.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
@pytest.mark.parametrize("cell_type", cell_types_2D)
def test_save_2d_vector(tempdir, cell_type):
mesh = create_unit_square(MPI.COMM_WORLD, 16, 16, cell_type=cell_type)
gdim = mesh.geometry.dim
u = Function(functionspace(mesh, ("Lagrange", 1, (gdim,))))
def f(x):
vals = np.zeros((2, x.shape[1]))
vals[0] = x[0]
vals[1] = 2 * x[0] * x[1]
return vals
u.interpolate(f)
filename = Path(tempdir, "u.pvd")
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
vtk.write_function(u, 1.0)
@pytest.mark.skip_in_parallel
def test_save_2d_vector_CG2(tempdir):
points = np.array(
[[0, 0], [1, 0], [1, 2], [0, 2], [1 / 2, 0], [1, 1], [1 / 2, 2], [0, 1], [1 / 2, 1]],
dtype=default_real_type,
)
points = np.array(
[[0, 0], [1, 0], [0, 2], [0.5, 1], [0, 1], [0.5, 0], [1, 2], [0.5, 2], [1, 1]],
dtype=default_real_type,
)
cells = np.array([[0, 1, 2, 3, 4, 5], [1, 6, 2, 7, 3, 8]])
domain = ufl.Mesh(element("Lagrange", "triangle", 2, shape=(2,), dtype=default_real_type))
mesh = create_mesh(MPI.COMM_WORLD, cells, points, domain)
gdim = mesh.geometry.dim
u = Function(functionspace(mesh, ("Lagrange", 2, (gdim,))))
u.interpolate(lambda x: np.vstack((x[0], x[1])))
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function(u, 0.0)
def test_save_vtk_mixed(tempdir):
mesh = create_unit_cube(MPI.COMM_WORLD, 3, 3, 3)
P2 = element(
"Lagrange", mesh.basix_cell(), 1, shape=(mesh.geometry.dim,), dtype=default_real_type
)
P1 = element("Lagrange", mesh.basix_cell(), 1, dtype=default_real_type)
W = functionspace(mesh, mixed_element([P2, P1]))
V1 = functionspace(mesh, P1)
V2 = functionspace(mesh, P2)
U = Function(W)
U.sub(0).interpolate(lambda x: np.vstack((x[0], 0.2 * x[1], np.zeros_like(x[0]))))
U.sub(1).interpolate(lambda x: 0.5 * x[0])
U1, U2 = Function(V1), Function(V2)
U1.interpolate(U.sub(1))
U2.interpolate(U.sub(0))
U2.name = "u"
U1.name = "p"
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function([U2, U1], 0.0)
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function([U1, U2], 0.0)
Up = U.sub(1)
Up.name = "psub"
with pytest.raises(RuntimeError):
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function([U2, Up, U1], 0)
with pytest.raises(RuntimeError):
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function([U.sub(i) for i in range(W.num_sub_spaces)], 0)
@pytest.mark.parametrize("cell_type", cell_types_2D)
def test_save_vector_element(tempdir, cell_type):
mesh = create_unit_square(MPI.COMM_WORLD, 16, 16, cell_type=cell_type)
u = Function(functionspace(mesh, ("RT", 1)))
def f(x):
vals = np.zeros((2, x.shape[1]))
vals[0] = x[0]
vals[1] = 2 * x[0] * x[1]
return vals
u.interpolate(f)
filename = Path(tempdir, "u.pvd")
with pytest.raises(RuntimeError):
with VTKFile(MPI.COMM_WORLD, filename, "w") as vtk:
vtk.write_function(u, 0.0)
vtk.write_function(u, 1.0)
def test_save_vtk_cell_point(tempdir):
"""Test writing cell-wise and point-wise data"""
mesh = create_unit_cube(MPI.COMM_WORLD, 3, 3, 3)
P2 = element("Lagrange", mesh.basix_cell(), 1, shape=(3,), dtype=default_real_type)
P1 = element("Discontinuous Lagrange", mesh.basix_cell(), 0, dtype=default_real_type)
V2, V1 = functionspace(mesh, P2), functionspace(mesh, P1)
U2, U1 = Function(V2), Function(V1)
U2.interpolate(lambda x: np.vstack((x[0], 0.2 * x[1], np.zeros_like(x[0]))))
U1.interpolate(lambda x: 0.5 * x[0])
U2.name = "A"
U1.name = "B"
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function([U2, U1], 0.0)
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function((U1, U2), 0.0)
def test_save_1d_tensor(tempdir):
mesh = create_unit_interval(MPI.COMM_WORLD, 32)
e = element("Lagrange", mesh.basix_cell(), 2, shape=(2, 2), dtype=default_real_type)
u = Function(functionspace(mesh, e))
u.x.array[:] = 1.0
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function(u, 0.0)
def test_save_2d_tensor(tempdir):
mesh = create_unit_square(MPI.COMM_WORLD, 16, 16)
gdim = mesh.geometry.dim
u = Function(functionspace(mesh, ("Lagrange", 2, (gdim, gdim))))
u.x.array[:] = 1.0
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function(u, 0.0)
u.x.array[:] = 2.0
vtk.write_function(u, 1.0)
def test_save_3d_tensor(tempdir):
mesh = create_unit_cube(MPI.COMM_WORLD, 8, 8, 8)
gdim = mesh.geometry.dim
u = Function(functionspace(mesh, ("Lagrange", 2, (gdim, gdim))))
u.x.array[:] = 1.0
filename = Path(tempdir, "u.pvd")
with VTKFile(mesh.comm, filename, "w") as vtk:
vtk.write_function(u, 0.0)
def test_triangle_perm_vtk():
higher_order_triangle_perm = {
10: np.array([0, 1, 2, 5, 6, 8, 7, 3, 4, 9]),
15: np.array([0, 1, 2, 6, 7, 8, 11, 10, 9, 3, 4, 5, 12, 13, 14]),
21: np.array([0, 1, 2, 7, 8, 9, 10, 14, 13, 12, 11, 3, 4, 5, 6, 15, 18, 16, 20, 19, 17]),
28: np.array(
[
0,
1,
2,
8,
9,
10,
11,
12,
17,
16,
15,
14,
13,
3,
4,
5,
6,
7,
18,
21,
22,
19,
26,
27,
23,
25,
24,
20,
]
),
36: np.array(
[
0,
1,
2,
9,
10,
11,
12,
13,
14,
20,
19,
18,
17,
16,
15,
3,
4,
5,
6,
7,
8,
21,
24,
25,
26,
22,
32,
33,
34,
27,
31,
35,
28,
30,
29,
23,
]
),
45: np.array(
[
0,
1,
2,
10,
11,
12,
13,
14,
15,
16,
23,
22,
21,
20,
19,
18,
17,
3,
4,
5,
6,
7,
8,
9,
24,
27,
28,
29,
30,
25,
38,
39,
42,
40,
31,
37,
44,
43,
32,
36,
41,
33,
35,
34,
26,
]
),
55: np.array(
[
0,
1,
2,
11,
12,
13,
14,
15,
16,
17,
18,
26,
25,
24,
23,
22,
21,
20,
19,
3,
4,
5,
6,
7,
8,
9,
10,
27,
30,
31,
32,
33,
34,
28,
44,
45,
48,
49,
46,
35,
43,
53,
54,
50,
36,
42,
52,
51,
37,
41,
47,
38,
40,
39,
29,
]
),
}
for p_test, v_test in higher_order_triangle_perm.items():
v = cell_perm_vtk(CellType.triangle, p_test)
assert_array_equal(v, v_test)
def test_vtk_mesh():
comm = MPI.COMM_WORLD
mesh = create_unit_square(comm, 2 * comm.size, 2 * comm.size)
V = functionspace(mesh, ("Lagrange", 1))
vtk_mesh(V)
|
