def test_rfftn(self):
force = np.zeros([2 * r for r in self.res])
force[:self.res[0], :self.res[1]] = np.random.random(self.res)
from muFFT import FFT
ref = rfftn(force.T).T
fftengine = FFT([2 * r for r in self.res], fft="serial")
fftengine.create_plan(1)
tested = np.zeros(fftengine.nb_fourier_grid_pts,
order='f',
dtype=complex)
fftengine.fft(force, tested)
np.testing.assert_allclose(ref.real, tested.real)
np.testing.assert_allclose(ref.imag, tested.imag)
def test_save_and_load(comm):
nb_grid_pts = (128, 128)
size = (3, 3)
np.random.seed(1)
t = fourier_synthesis(nb_grid_pts, size, 0.8, rms_slope=0.1, unit='µm')
fft = FFT(nb_grid_pts, communicator=comm, fft="mpi")
fft.create_plan(1)
dt = t.domain_decompose(fft.subdomain_locations,
fft.nb_subdomain_grid_pts,
communicator=comm)
assert t.unit == 'µm'
assert dt.unit == 'µm'
assert t.info['unit'] == 'µm'
assert dt.info['unit'] == 'µm'
if comm.size > 1:
assert dt.is_domain_decomposed
# Save file
dt.to_netcdf('parallel_save_test.nc')
# Attempt to open full file on each MPI process
t2 = read_topography('parallel_save_test.nc')
assert t.physical_sizes == t2.physical_sizes
assert t.unit == t2.unit
assert t.info['unit'] == t2.info['unit']
np.testing.assert_array_almost_equal(t.heights(), t2.heights())
# Attempt to open file in parallel
r = NCReader('parallel_save_test.nc', communicator=comm)
assert r.channels[0].nb_grid_pts == nb_grid_pts
t3 = r.topography(subdomain_locations=fft.subdomain_locations,
nb_subdomain_grid_pts=fft.nb_subdomain_grid_pts)
assert t.physical_sizes == t3.physical_sizes
assert t.unit == t3.unit
assert t.info['unit'] == t3.info['unit']
np.testing.assert_array_almost_equal(dt.heights(), t3.heights())
assert t3.is_periodic
comm.barrier()
if comm.rank == 0:
os.remove('parallel_save_test.nc')
def test_sineWave_disp(comm, pnp, nx, ny, basenpoints):
"""
for given sinusoidal displacements, compares the pressures and the energies
to the analytical solutions
Special cases at the edges of the fourier domain are done
Parameters
----------
comm
pnp
fftengine_class
nx
ny
basenpoints
Returns
-------
"""
nx += basenpoints
ny += basenpoints
sx = 2.45 # 30.0
sy = 1.0
# equivalent Young's modulus
E_s = 1.0
for k in [(1, 0), (0, 1), (1, 2), (nx // 2, 0), (1, ny // 2), (0, 2),
(nx // 2, ny // 2), (0, ny // 2)]:
# print("testing wavevector ({}* np.pi * 2 / sx,
# {}* np.pi * 2 / sy) ".format(*k))
qx = k[0] * np.pi * 2 / sx
qy = k[1] * np.pi * 2 / sy
q = np.sqrt(qx**2 + qy**2)
Y, X = np.meshgrid(
np.linspace(0, sy, ny + 1)[:-1],
np.linspace(0, sx, nx + 1)[:-1])
disp = np.cos(qx * X + qy * Y) + np.sin(qx * X + qy * Y)
refpressure = -disp * E_s / 2 * q
substrate = PeriodicFFTElasticHalfSpace((nx, ny),
E_s, (sx, sy),
fft='mpi',
communicator=comm)
fftengine = FFT((nx, ny), fft='mpi', communicator=comm)
fftengine.create_plan(1)
kpressure = substrate.evaluate_k_force(
disp[substrate.subdomain_slices]) / substrate.area_per_pt / (nx *
ny)
expected_k_disp = np.zeros((nx // 2 + 1, ny), dtype=complex)
expected_k_disp[k[0], k[1]] += .5 - .5j
# add the symetrics
if k[0] == 0:
expected_k_disp[0, -k[1]] += .5 + .5j
if k[0] == nx // 2 and nx % 2 == 0:
expected_k_disp[k[0], -k[1]] += .5 + .5j
fft_disp = np.zeros(substrate.nb_fourier_grid_pts,
order='f',
dtype=complex)
fftengine.fft(disp[substrate.subdomain_slices], fft_disp)
np.testing.assert_allclose(fft_disp / (nx * ny),
expected_k_disp[substrate.fourier_slices],
rtol=1e-7,
atol=1e-10)
expected_k_pressure = -E_s / 2 * q * expected_k_disp
np.testing.assert_allclose(
kpressure,
expected_k_pressure[substrate.fourier_slices],
rtol=1e-7,
atol=1e-10)
computedpressure = substrate.evaluate_force(
disp[substrate.subdomain_slices]) / substrate.area_per_pt
np.testing.assert_allclose(computedpressure,
refpressure[substrate.subdomain_slices],
atol=1e-10,
rtol=1e-7)
computedenergy_kspace = \
substrate.evaluate(disp[substrate.subdomain_slices], pot=True,
forces=False)[0]
computedenergy = \
substrate.evaluate(disp[substrate.subdomain_slices], pot=True,
forces=True)[0]
refenergy = E_s / 8 * 2 * q * sx * sy
# print(substrate.nb_domain_grid_pts[-1] % 2)
# print(substrate.nb_fourier_grid_pts)
# print(substrate.fourier_locations[-1] +
# substrate.nb_fourier_grid_pts[-1] - 1)
# print(substrate.nb_domain_grid_pts[-1] // 2 )
# print(computedenergy)
# print(computedenergy_kspace)
# print(refenergy)
np.testing.assert_allclose(
computedenergy,
refenergy,
rtol=1e-10,
err_msg="wavevektor {} for nb_domain_grid_pts {}, "
"subdomain nb_grid_pts {}, nb_fourier_grid_pts {}".format(
k, substrate.nb_domain_grid_pts,
substrate.nb_subdomain_grid_pts,
substrate.nb_fourier_grid_pts))
np.testing.assert_allclose(
computedenergy_kspace,
refenergy,
rtol=1e-10,
err_msg="wavevektor {} for nb_domain_grid_pts {}, "
"subdomain nb_grid_pts {}, nb_fourier_grid_pts {}".format(
k, substrate.nb_domain_grid_pts,
substrate.nb_subdomain_grid_pts,
substrate.nb_fourier_grid_pts))