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"""Tests for DOLFINx integration of various form operations"""
# Copyright (C) 2021 Garth N. Wells
#
# This file is part of DOLFINx (https://www.fenicsproject.org)
#
# SPDX-License-Identifier: LGPL-3.0-or-later
from mpi4py import MPI
import numpy as np
import pytest
import basix
import basix.ufl
import dolfinx
from dolfinx.fem import IntegralType, extract_function_spaces, form, functionspace
from dolfinx.fem.forms import form_cpp_class
from dolfinx.mesh import create_unit_square
from ufl import Measure, SpatialCoordinate, TestFunction, TrialFunction, dx, inner
def test_extract_forms():
"""Test extraction on unique function spaces for rows and columns of
a block system"""
mesh = create_unit_square(MPI.COMM_WORLD, 32, 31)
V0 = functionspace(mesh, ("Lagrange", 1))
V1 = functionspace(mesh, ("Lagrange", 2))
V2 = V0.clone()
V3 = V1.clone()
v0, u0 = TestFunction(V0), TrialFunction(V0)
v1, u1 = TestFunction(V1), TrialFunction(V1)
v2, u2 = TestFunction(V2), TrialFunction(V2)
v3, u3 = TestFunction(V3), TrialFunction(V3)
a = form([[inner(u0, v0) * dx, inner(u1, v1) * dx], [inner(u2, v2) * dx, inner(u3, v3) * dx]])
with pytest.raises(AssertionError):
extract_function_spaces(a, 0)
with pytest.raises(AssertionError):
extract_function_spaces(a, 1)
a = form([[inner(u0, v0) * dx, inner(u2, v1) * dx], [inner(u0, v2) * dx, inner(u2, v2) * dx]])
with pytest.raises(AssertionError):
extract_function_spaces(a, 0)
Vc = extract_function_spaces(a, 1)
assert Vc[0] is V0._cpp_object
assert Vc[1] is V2._cpp_object
a = form([[inner(u0, v0) * dx, inner(u1, v0) * dx], [inner(u2, v1) * dx, inner(u3, v1) * dx]])
Vr = extract_function_spaces(a, 0)
assert Vr[0] is V0._cpp_object
assert Vr[1] is V1._cpp_object
with pytest.raises(AssertionError):
extract_function_spaces(a, 1)
def test_incorrect_element():
"""Test that an error is raised if an incorrect element is used."""
mesh = create_unit_square(MPI.COMM_WORLD, 32, 31)
element = basix.ufl.element(
"Lagrange",
"triangle",
4,
lagrange_variant=basix.LagrangeVariant.gll_warped,
dtype=dolfinx.default_real_type,
)
incorrect_element = basix.ufl.element(
"Lagrange",
"triangle",
4,
lagrange_variant=basix.LagrangeVariant.equispaced,
dtype=dolfinx.default_real_type,
)
space = functionspace(mesh, element)
incorrect_space = functionspace(mesh, incorrect_element)
u = TrialFunction(space)
v = TestFunction(space)
a = inner(u, v) * dx
dtype = dolfinx.default_scalar_type
ftype = form_cpp_class(dtype)
ufcx_form, module, code = dolfinx.jit.ffcx_jit(
mesh.comm, a, form_compiler_options={"scalar_type": dtype}
)
f = ftype(
[module.ffi.cast("uintptr_t", module.ffi.addressof(ufcx_form))],
[space._cpp_object, space._cpp_object],
[],
[],
{IntegralType.cell: []},
[],
mesh._cpp_object,
)
dolfinx.fem.Form(f, ufcx_form, code)
with pytest.raises(RuntimeError):
f = ftype(
[module.ffi.cast("uintptr_t", module.ffi.addressof(ufcx_form))],
[incorrect_space._cpp_object, incorrect_space._cpp_object],
[],
[],
{IntegralType.cell: []},
[],
mesh._cpp_object,
)
dolfinx.fem.Form(f, ufcx_form, code)
def test_multiple_measures_one_subdomain_data():
comm = MPI.COMM_WORLD
mesh = dolfinx.mesh.create_unit_interval(comm, 10)
x = SpatialCoordinate(mesh)
num_cells_local = mesh.topology.index_map(mesh.topology.dim).size_local
ct = dolfinx.mesh.meshtags(
mesh,
mesh.topology.dim,
np.arange(num_cells_local, dtype=np.int32),
np.arange(num_cells_local, dtype=np.int32),
)
dx = Measure("dx", domain=mesh, subdomain_data=ct)
dx_stand = Measure("dx", domain=mesh)
J = dolfinx.fem.form(x[0] ** 2 * dx + x[0] * dx_stand)
J_local = dolfinx.fem.assemble_scalar(J)
J_global = comm.allreduce(J_local, op=MPI.SUM)
assert np.isclose(J_global, 1 / 3 + 1 / 2)
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