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import pytest
from petsc4py import PETSc
from mpi4py import MPI
import numpy as np
import dolfinx
from scifem import evaluate_function
@pytest.mark.parametrize(
"cell_type", [dolfinx.mesh.CellType.triangle, dolfinx.mesh.CellType.quadrilateral]
)
def test_evaluate_scalar_function_2D(cell_type):
comm = MPI.COMM_WORLD
Lx = Ly = 2.0
nx = ny = 10
mesh = dolfinx.mesh.create_rectangle(
comm=comm,
points=[np.array([0.0, 0.0]), np.array([Lx, Ly])],
n=[nx, ny],
cell_type=cell_type,
)
V = dolfinx.fem.functionspace(mesh, ("P", 1))
u = dolfinx.fem.Function(V, dtype=PETSc.ScalarType)
f = lambda x: x[0] + 2 * x[1]
u.interpolate(f)
points = np.array([[0.0, 0.0], [0.2, 0.2], [0.5, 0.5], [0.7, 0.2]])
u_values = evaluate_function(u, points)
exact = np.array(f(points.T)).T
assert np.allclose(u_values[:, 0], exact)
@pytest.mark.parametrize(
"cell_type", [dolfinx.mesh.CellType.triangle, dolfinx.mesh.CellType.quadrilateral]
)
def test_evaluate_vector_function_2D(cell_type):
comm = MPI.COMM_WORLD
Lx = Ly = 2.0
nx = ny = 10
mesh = dolfinx.mesh.create_rectangle(
comm=comm,
points=[np.array([0.0, 0.0]), np.array([Lx, Ly])],
n=[nx, ny],
cell_type=cell_type,
)
V = dolfinx.fem.functionspace(mesh, ("P", 1, (2,)))
u = dolfinx.fem.Function(V, dtype=PETSc.ScalarType)
f = lambda x: (x[0], 2 * x[1])
u.interpolate(f)
points = np.array([[0.0, 0.0], [0.2, 0.2], [0.5, 0.5], [0.7, 0.2]])
u_values = evaluate_function(u, points)
exact = np.array(f(points.T)).T
assert np.allclose(u_values, exact)
@pytest.mark.parametrize(
"cell_type", [dolfinx.mesh.CellType.tetrahedron, dolfinx.mesh.CellType.hexahedron]
)
def test_evaluate_scalar_function_3D(cell_type):
comm = MPI.COMM_WORLD
Lx = Ly = Lz = 2.0
nx = ny = nz = 10
mesh = dolfinx.mesh.create_box(
comm=comm,
points=[np.array([0.0, 0.0, 0.0]), np.array([Lx, Ly, Lz])],
n=[nx, ny, nz],
cell_type=cell_type,
)
V = dolfinx.fem.functionspace(mesh, ("P", 1))
u = dolfinx.fem.Function(V, dtype=PETSc.ScalarType)
f = lambda x: x[0] + 2 * x[1]
u.interpolate(f)
points = np.array([[0.0, 0.0, 0.0], [0.2, 0.2, 0.3], [0.5, 0.5, 0.2], [0.7, 0.2, 0.5]])
u_values = evaluate_function(u, points)
exact = np.array(f(points.T)).T
assert np.allclose(u_values[:, 0], exact)
@pytest.mark.parametrize(
"cell_type", [dolfinx.mesh.CellType.tetrahedron, dolfinx.mesh.CellType.hexahedron]
)
def test_evaluate_vector_function_3D(cell_type):
comm = MPI.COMM_WORLD
Lx = Ly = Lz = 2.0
nx = ny = nz = 10
mesh = dolfinx.mesh.create_box(
comm=comm,
points=[np.array([0.0, 0.0, 0.0]), np.array([Lx, Ly, Lz])],
n=[nx, ny, nz],
cell_type=cell_type,
)
V = dolfinx.fem.functionspace(mesh, ("P", 1, (3,)))
u = dolfinx.fem.Function(V, dtype=PETSc.ScalarType)
f = lambda x: (x[0], 2 * x[1], -x[2])
u.interpolate(f)
points = np.array([[0.0, 0.0, 0.0], [0.2, 0.2, 0.3], [0.5, 0.5, 0.2], [0.7, 0.2, 0.5]])
u_values = evaluate_function(u, points)
exact = np.array(f(points.T)).T
assert np.allclose(u_values, exact)
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