def test_field_at_position(self):
mesh = SpatialMeshConf((2, 4, 8),
(1, 2, 4)).make(BoundaryConditionsConf())
mesh.electric_field[1:2, 0:2, 0:2] = np.array([[[2, 1, 0], [-3, 1, 0]],
[[0, -1, 0], [-1, 0,
0]]])
assert_array_equal(mesh.field_at_position([(1, 1, 3)]),
[(-1.25, 0.375, 0)])
def test_eval_field_from_potential(self):
mesh = SpatialMeshConf((1.5, 2, 1),
(0.5, 1, 1)).make(BoundaryConditionsConf())
mesh.potential = np.stack([
np.array([[0., 0, 0], [1, 2, 3], [4, 3, 2], [4, 4, 4]]),
np.zeros((4, 3))
], -1)
FieldSolver.eval_fields_from_potential(mesh)
expected = np.array([[[[-2, 0, 0], [0, 0, 0]], [[-4, 0, 0], [0, 0, 0]],
[[-6, 0, 0], [0, 0, 0]]],
[[[-4, -1, 1], [0, 0, 1]], [[-3, -1, 2],
[0, 0, 2]],
[[-2, -1, 3], [0, 0, 3]]],
[[[-3, 1, 4], [0, 0, 4]], [[-2, 1, 3], [0, 0, 3]],
[[-1, 1, 2], [0, 0, 2]]],
[[[0, 0, 4], [0, 0, 4]], [[-2, 0, 4], [0, 0, 4]],
[[-4, 0, 4], [0, 0, 4]]]])
assert_array_equal(mesh.electric_field, expected)
def test_large_grid(solver_, backend_):
try:
configure_application(solver_, backend_)
c = Config(TimeGridConf(1, 1, 1), SpatialMeshConf(100, 1),
inner_regions=[InnerRegionConf('tube',
Tube((50, 50, 10), (50, 50, 12), 10, 90),
10)])
r = Runner(c.make())
r.eval_and_write_fields_without_particles()
assert r.simulation.potential.data.mean() >= 0
assert r.simulation.potential.data.mean() <= 10
assert abs(r.simulation.potential.data.max() - 10) < 0.01
assert abs(r.simulation.potential.data.min()) < 0.01
finally:
inject.clear()
def test_transfer_solution_to_spat_mesh(self):
mesh = SpatialMeshConf((4, 6, 9),
(1, 2, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
solver.phi_vec = np.array(range(1, 3 * 2 * 2 + 1))
solver.transfer_solution_to_spat_mesh(mesh)
assert_array_equal(
mesh.potential[1:-1, 1:-1, 1:-1],
[[[1, 7], [4, 10]], [[2, 8], [5, 11]], [[3, 9], [6, 12]]])
assert_array_equal(
mesh.potential,
[[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 1, 7, 0], [0, 4, 10, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 2, 8, 0], [0, 5, 11, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 3, 9, 0], [0, 6, 12, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]])
def test_config(self, capsys):
mesh = SpatialMeshConf((4, 2, 3), (2, 1, 3)).make(BoundaryConditionsConf(3.14))
assert mesh.mesh.node_coordinates.shape == (3, 3, 2, 3)
assert mesh.charge_density.shape == (3, 3, 2)
assert mesh.potential.shape == (3, 3, 2)
assert mesh.electric_field.shape == (3, 3, 2, 3)
coords = np.array([[[[0., 0., 0.], [0., 0., 3.]], [[0., 1., 0.], [0., 1., 3.]],
[[0., 2., 0.], [0., 2., 3.]]],
[[[2., 0., 0.], [2., 0., 3.]], [[2., 1., 0.], [2., 1., 3.]],
[[2., 2., 0.], [2., 2., 3.]]],
[[[4., 0., 0.], [4., 0., 3.]], [[4., 1., 0.], [4., 1., 3.]],
[[4., 2., 0.], [4., 2., 3.]]]])
assert_array_equal(mesh.mesh.node_coordinates, coords)
assert_array_equal(mesh.charge_density, np.zeros((3, 3, 2)))
potential = np.full((3, 3, 2), 3.14)
assert_array_equal(mesh.potential, potential)
assert_array_equal(mesh.electric_field, np.zeros((3, 3, 2, 3)))
out, err = capsys.readouterr()
assert out == ""
assert err == ""
def test_construct_equation_matrix(self):
mesh = SpatialMeshConf((4, 6, 9),
(1, 2, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
solver.construct_equation_matrix(mesh, [])
d = -2 * (2 * 2 * 3 * 3 + 3 * 3 + 2 * 2)
x = 2 * 2 * 3 * 3
y = 3 * 3
z = 2 * 2
assert_array_equal(solver.A.toarray(),
[[d, x, 0, y, 0, 0, z, 0, 0, 0, 0, 0],
[x, d, x, 0, y, 0, 0, z, 0, 0, 0, 0],
[0, x, d, 0, 0, y, 0, 0, z, 0, 0, 0],
[y, 0, 0, d, x, 0, 0, 0, 0, z, 0, 0],
[0, y, 0, x, d, x, 0, 0, 0, 0, z, 0],
[0, 0, y, 0, x, d, 0, 0, 0, 0, 0, z],
[z, 0, 0, 0, 0, 0, d, x, 0, y, 0, 0],
[0, z, 0, 0, 0, 0, x, d, x, 0, y, 0],
[0, 0, z, 0, 0, 0, 0, x, d, 0, 0, y],
[0, 0, 0, z, 0, 0, y, 0, 0, d, x, 0],
[0, 0, 0, 0, z, 0, 0, y, 0, x, d, x],
[0, 0, 0, 0, 0, z, 0, 0, y, 0, x, d]])
def test_zero_nondiag_inside_objects(self):
mesh = SpatialMeshConf((4, 6, 9),
(1, 2, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
region = InnerRegion('test', Box((1, 2, 3), (1, 2, 3)), 3)
a = csr_matrix(np.full((12, 12), 2))
assert_array_equal(a.toarray(), [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]])
result = solver.zero_nondiag_for_nodes_inside_objects(
a, mesh, [region])
assert_array_equal(result.toarray(),
[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]])
# TODO: check algorithm if on-diagonal zeros should turn into ones
a = csr_matrix(
np.array([[4, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]))
result = solver.zero_nondiag_for_nodes_inside_objects(
a, mesh, [region])
assert_array_equal(result.toarray(),
[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]])
def test_init_rhs(self):
mesh = SpatialMeshConf((4, 3, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
solver.init_rhs_vector_in_full_domain(mesh)
assert_array_equal(solver.rhs, np.zeros(3 * 2 * 2))
mesh = SpatialMeshConf((4, 3, 3)).make(BoundaryConditionsConf(-2))
solver = FieldSolver(mesh, [])
solver.init_rhs_vector_in_full_domain(mesh)
assert_array_equal(solver.rhs,
[6, 4, 6, 6, 4, 6, 6, 4, 6, 6, 4, 6]) # what
mesh = SpatialMeshConf((4, 4, 5)).make(BoundaryConditionsConf(-2))
solver = FieldSolver(mesh, [])
solver.init_rhs_vector_in_full_domain(mesh)
assert_array_equal(solver.rhs, [
6, 4, 6, 4, 2, 4, 6, 4, 6, 4, 2, 4, 2, 0, 2, 4, 2, 4, 4, 2, 4, 2,
0, 2, 4, 2, 4, 6, 4, 6, 4, 2, 4, 6, 4, 6
]) # what
mesh = SpatialMeshConf((8, 12, 5),
(2, 3, 1)).make(BoundaryConditionsConf(-1))
solver = FieldSolver(mesh, [])
solver.init_rhs_vector_in_full_domain(mesh)
assert_array_equal(solver.rhs, [
49, 40, 49, 45, 36, 45, 49, 40, 49, 13, 4, 13, 9, 0, 9, 13, 4, 13,
13, 4, 13, 9, 0, 9, 13, 4, 13, 49, 40, 49, 45, 36, 45, 49, 40, 49
])
mesh = SpatialMeshConf((4, 6, 9),
(1, 2, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
mesh.charge_density = np.array([[[0, 0, 0, 0], [0, 0, 0, 0],
[0, 0, 0, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 1, 2, 0],
[0, -1, 0, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 3, 4, 0],
[0, 0, -1, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 5, 6, 0],
[0, -1, 0, 0], [0, 0, 0, 0]],
[[0, 0, 0, 0], [0, 0, 0, 0],
[0, 0, 0, 0], [0, 0, 0, 0]]])
solver.init_rhs_vector_in_full_domain(mesh)
assert_allclose(
solver.rhs, -np.array([1, 3, 5, -1, 0, -1, 2, 4, 6, 0, -1, 0]) *
np.pi * 4 * 36)
mesh = SpatialMeshConf((4, 6, 9),
(1, 2, 3)).make(BoundaryConditionsConf())
solver = FieldSolver(mesh, [])
region = InnerRegion('test', Box((1, 2, 3), (1, 2, 3)), 3)
solver.init_rhs_vector(mesh, [region])
assert_array_equal(solver.rhs, [3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0])
def test_weight_particles_charge_to_mesh(self):
mesh = SpatialMeshConf((2, 4, 8),
(1, 2, 4)).make(BoundaryConditionsConf())
particle_arrays = [ParticleArray(1, -2, 4, [(1, 1, 3)], [(0, 0, 0)])]
mesh.weight_particles_charge_to_mesh(particle_arrays)
assert_array_equal(
mesh.charge_density,
np.array([[[0, 0, 0], [0, 0, 0], [0, 0, 0]],
[[-0.25 / 8, -0.75 / 8, 0], [-0.25 / 8, -0.75 / 8, 0],
[0, 0, 0]], [[0, 0, 0], [0, 0, 0], [0, 0, 0]]]))
particle_arrays = [
ParticleArray([1, 2], -2, 4, [(1, 1, 3), (1, 1, 3)],
np.zeros((2, 3)))
]
mesh.clear_old_density_values()
mesh.weight_particles_charge_to_mesh(particle_arrays)
assert_array_equal(
mesh.charge_density,
np.array([[[0, 0, 0], [0, 0, 0], [0, 0, 0]],
[[-0.25 / 4, -0.75 / 4, 0], [-0.25 / 4, -0.75 / 4, 0],
[0, 0, 0]], [[0, 0, 0], [0, 0, 0], [0, 0, 0]]]))
mesh.clear_old_density_values()
particle_arrays = [ParticleArray(1, -2, 4, [(2, 4, 8)], [(0, 0, 0)])]
mesh.weight_particles_charge_to_mesh(particle_arrays)
assert_array_equal(
mesh.charge_density,
np.array([[[0, 0, 0], [0, 0, 0], [0, 0, 0]],
[[0, 0, 0], [0, 0, 0], [0, 0, 0]],
[[0, 0, 0], [0, 0, 0], [0, 0, -0.25]]]))
particle_arrays = [ParticleArray(1, -2, 4, [(1, 2, 8.1)], [(0, 0, 0)])]
with pytest.raises(ValueError,
match="Position is out of meshgrid bounds"):
mesh.weight_particles_charge_to_mesh(particle_arrays)