def test_prec_solve_2D(arpack_eigs, interface, x, num_evs, tol, atol, interactive=False):
from fvm import JadaHYMLSInterface
from jadapy import EpetraInterface
from jadapy import jdqz
numpy.random.seed(1234)
jac_op = EpetraInterface.CrsMatrix(interface.jacobian(x))
mass_op = EpetraInterface.CrsMatrix(interface.mass_matrix())
jada_interface = JadaHYMLSInterface.JadaHYMLSInterface(interface.map, interface, preconditioned_solve=True)
alpha, beta = jdqz.jdqz(jac_op, mass_op, num_evs, tol=tol, subspace_dimensions=[20, 40],
interface=jada_interface)
jdqz_eigs = numpy.array(sorted(alpha / beta, key=lambda x: abs(x)))
assert_allclose(jdqz_eigs.real, arpack_eigs.real, rtol=0, atol=atol)
assert_allclose(abs(jdqz_eigs.imag), abs(arpack_eigs.imag), rtol=0, atol=atol)
if not interactive:
return x
fig, ax = plt.subplots()
ax.scatter(jdqz_eigs.real, jdqz_eigs.imag, marker='+')
plt.show()
def generate_Epetra_test_matrix(map, shape, dtype):
try:
from PyTrilinos import Epetra
from jadapy import EpetraInterface
except ImportError:
pytest.skip("Trilinos not found")
a1 = generate_test_matrix(shape, dtype)
a2 = EpetraInterface.CrsMatrix(Epetra.Copy, map, shape[1])
for i in range(shape[0]):
for j in range(shape[1]):
a2[i, j] = a1[i, j]
a2.FillComplete()
return a1, a2