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# Copyright (C) 20222 Garth N. Wells
#
# This file is part of DOLFINx (https://www.fenicsproject.org)
#
# SPDX-License-Identifier: LGPL-3.0-or-later
"""Unit tests for MatrixCSR"""
from mpi4py import MPI
import numpy as np
import pytest
from dolfinx import cpp as _cpp
from dolfinx import la
from dolfinx.fem import functionspace
from dolfinx.mesh import create_unit_square
def test_create_matrix_csr():
"""Test creation of CSR matrix with specified types"""
mesh = create_unit_square(MPI.COMM_WORLD, 10, 11)
V = functionspace(mesh, ("Lagrange", 1))
map = V.dofmap.index_map
bs = V.dofmap.index_map_bs
pattern = _cpp.la.SparsityPattern(mesh.comm, [map, map], [bs, bs])
rows = np.arange(0, bs * map.size_local)
cols = np.arange(0, bs * map.size_local)
pattern.insert(rows, cols)
pattern.finalize()
A = la.matrix_csr(pattern)
assert A.data.dtype == np.float64
A = la.matrix_csr(pattern, dtype=np.float64)
assert A.data.dtype == np.float64
A = la.matrix_csr(pattern, dtype=np.float32)
assert A.data.dtype == np.float32
A = la.matrix_csr(pattern, dtype=np.complex128)
assert A.data.dtype == np.complex128
dense = A.to_dense()
assert np.allclose(dense, np.zeros(dense.shape, dtype=np.complex128))
@pytest.mark.parametrize(
"dtype",
[
np.float32,
np.float64,
np.complex64,
np.complex128,
],
)
def test_matvec(dtype):
mesh = create_unit_square(MPI.COMM_WORLD, 3, 3)
imap = mesh.topology.index_map(0)
sp = _cpp.la.SparsityPattern(mesh.comm, [imap, imap], [1, 1])
rows = np.arange(0, imap.size_local)
cols = np.arange(0, imap.size_local)
sp.insert(rows, cols)
sp.finalize()
# Identity
A = la.matrix_csr(sp, dtype=dtype)
for i in range(imap.size_local):
A.add([2.0], [i], [i])
A.scatter_reverse()
b = la.vector(imap, dtype=dtype)
u = la.vector(imap, dtype=dtype)
b.array[:] = 1.0
A.mult(b, u)
u.scatter_forward()
assert np.allclose(u.array[: imap.size_local], 2.0)
@pytest.mark.parametrize(
"dtype",
[
np.float32,
np.float64,
np.complex64,
np.complex128,
np.int8,
np.int32,
np.int64,
],
)
def test_create_vector(dtype):
"""Test creation of a distributed vector"""
mesh = create_unit_square(MPI.COMM_WORLD, 5, 5)
im = mesh.topology.index_map(0)
for bs in range(1, 4):
x = la.vector(im, bs=bs, dtype=dtype)
assert x.array.dtype == dtype
assert x.array.size == bs * (im.size_local + im.num_ghosts)
def xfail_norm_of_integral_type_vector(dtype):
return pytest.param(
dtype,
marks=pytest.mark.xfail(
reason="Norm of vector of integers not implemented", strict=True, raises=TypeError
),
)
@pytest.mark.parametrize(
"dtype",
[
np.float32,
np.float64,
np.complex64,
np.complex128,
xfail_norm_of_integral_type_vector(np.int8),
xfail_norm_of_integral_type_vector(np.int32),
xfail_norm_of_integral_type_vector(np.int64),
],
)
@pytest.mark.parametrize(
"norm_type",
[
la.Norm.l1,
la.Norm.l2,
la.Norm.linf,
pytest.param(
la.Norm.frobenius,
marks=pytest.mark.xfail(reason="Norm type not supported for vector", strict=True),
),
],
)
def test_vector_norm(dtype, norm_type):
mesh = create_unit_square(MPI.COMM_WORLD, 5, 5)
im = mesh.topology.index_map(0)
x = la.vector(im, dtype=dtype)
x.array[:] = 0.0
normed_value = la.norm(x, norm_type)
assert np.isclose(normed_value, 0.0)
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