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meanas/meanas/test/test_fdfd.py

138 lines
3.9 KiB
Python

from typing import List, Tuple
import dataclasses
import pytest # type: ignore
import numpy # type: ignore
#from numpy.testing import assert_allclose, assert_array_equal
from .. import fdfd
from ..fdmath import vec, unvec
from .utils import assert_close # , assert_fields_close
def test_residual(sim):
A = fdfd.operators.e_full(sim.omega, sim.dxes, vec(sim.epsilon)).tocsr()
b = -1j * sim.omega * vec(sim.j)
residual = A @ vec(sim.e) - b
assert numpy.linalg.norm(residual) < 1e-10
def test_poynting_planes(sim):
mask = (sim.j != 0).any(axis=0)
if mask.sum() != 2:
pytest.skip(f'test_poynting_planes will only test 2-point sources, got {mask.sum()}')
# for dxg in sim.dxes:
# for dxa in dxg:
# if not (dxa == sim.dxes[0][0][0]).all():
# pytest.skip('test_poynting_planes skips nonuniform dxes')
points = numpy.where(mask)
mask[points[0][0], points[1][0], points[2][0]] = 0
mx = numpy.roll(mask, -1, axis=0)
my = numpy.roll(mask, -1, axis=1)
mz = numpy.roll(mask, -1, axis=2)
e2h = fdfd.operators.e2h(omega=sim.omega, dxes=sim.dxes, pmc=sim.pmc)
ev = vec(sim.e)
hv = e2h @ ev
exh = fdfd.operators.poynting_e_cross(e=ev, dxes=sim.dxes) @ hv.conj()
s = unvec(exh.real / 2, sim.shape[1:])
planes = [s[0, mask].sum(), -s[0, mx].sum(),
s[1, mask].sum(), -s[1, my].sum(),
s[2, mask].sum(), -s[2, mz].sum()]
e_dot_j = sim.e * sim.j * sim.dxes[0][0][:, None, None] * sim.dxes[0][1][None, :, None] * sim.dxes[0][2][None, None, :]
src_energy = -e_dot_j[:, mask].real / 2
assert_close(sum(planes), src_energy.sum())
#####################################
# Test fixtures
#####################################
# Also see conftest.py
@pytest.fixture(params=[1 / 1500])
def omega(request):
yield request.param
@pytest.fixture(params=[None])
def pec(request):
yield request.param
@pytest.fixture(params=[None])
def pmc(request):
yield request.param
#@pytest.fixture(scope='module',
# params=[(25, 5, 5)])
#def shape(request):
# yield (3, *request.param)
@pytest.fixture(params=['diag']) # 'center'
def j_distribution(request, shape, j_mag):
j = numpy.zeros(shape, dtype=complex)
center_mask = numpy.zeros(shape, dtype=bool)
center_mask[:, shape[1] // 2, shape[2] // 2, shape[3] // 2] = True
if request.param == 'center':
j[center_mask] = j_mag
elif request.param == 'diag':
j[numpy.roll(center_mask, [1, 1, 1], axis=(1, 2, 3))] = j_mag
j[numpy.roll(center_mask, [-1, -1, -1], axis=(1, 2, 3))] = -1j * j_mag
yield j
@dataclasses.dataclass()
class FDResult:
shape: Tuple[int]
dxes: List[List[numpy.ndarray]]
epsilon: numpy.ndarray
omega: complex
j: numpy.ndarray
e: numpy.ndarray
pmc: numpy.ndarray
pec: numpy.ndarray
@pytest.fixture()
def sim(request, shape, epsilon, dxes, j_distribution, omega, pec, pmc):
"""
Build simulation from parts
"""
# is3d = (numpy.array(shape) == 1).sum() == 0
# if is3d:
# pytest.skip('Skipping dt != 0.3 because test is 3D (for speed)')
# # If no edge currents, add pmls
# src_mask = j_distribution.any(axis=0)
# th = 10
# #if src_mask.sum() - src_mask[th:-th, th:-th, th:-th].sum() == 0:
# if src_mask.sum() - src_mask[th:-th, :, :].sum() == 0:
# for axis in (0,):
# for polarity in (-1, 1):
# dxes = fdfd.scpml.stretch_with_scpml(dxes, axis=axis, polarity=polarity,
j_vec = vec(j_distribution)
eps_vec = vec(epsilon)
e_vec = fdfd.solvers.generic(J=j_vec, omega=omega, dxes=dxes, epsilon=eps_vec,
matrix_solver_opts={'atol': 1e-15, 'tol': 1e-11})
e = unvec(e_vec, shape[1:])
sim = FDResult(
shape=shape,
dxes=dxes,
epsilon=epsilon,
j=j_distribution,
e=e,
pec=pec,
pmc=pmc,
omega=omega,
)
return sim