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import math
import unittest
import warnings
import numpy as np
import meep as mp
import meep.geom as gm
def zeros():
return gm.Vector3(0, 0, 0)
def ones():
return gm.Vector3(1, 1, 1)
class TestGeom(unittest.TestCase):
def test_geometric_object_duplicates_x(self):
rad = 1
s = mp.Sphere(rad)
res = mp.geometric_object_duplicates(mp.Vector3(x=1), 1, 5, s)
expected = [
mp.Sphere(rad, center=mp.Vector3(x=5)),
mp.Sphere(rad, center=mp.Vector3(x=4)),
mp.Sphere(rad, center=mp.Vector3(x=3)),
mp.Sphere(rad, center=mp.Vector3(x=2)),
mp.Sphere(rad, center=mp.Vector3(x=1))
]
for r, e in zip(res, expected):
self.assertEqual(r.center, e.center)
def test_geometric_object_duplicates_xyz(self):
rad = 1
s = mp.Sphere(rad)
res = mp.geometric_object_duplicates(mp.Vector3(1, 1, 1), 1, 5, s)
expected = [
mp.Sphere(rad, center=mp.Vector3(5, 5, 5)),
mp.Sphere(rad, center=mp.Vector3(4, 4, 4)),
mp.Sphere(rad, center=mp.Vector3(3, 3, 3)),
mp.Sphere(rad, center=mp.Vector3(2, 2, 2)),
mp.Sphere(rad, center=mp.Vector3(1, 1, 1)),
]
for r, e in zip(res, expected):
self.assertEqual(r.center, e.center)
def test_geometric_objects_duplicates(self):
rad = 1
s = mp.Sphere(rad)
c = mp.Cylinder(rad)
res = mp.geometric_objects_duplicates(mp.Vector3(1, 1, 1), 1, 5, [s, c])
expected = [
mp.Sphere(rad, center=mp.Vector3(5, 5, 5)),
mp.Sphere(rad, center=mp.Vector3(4, 4, 4)),
mp.Sphere(rad, center=mp.Vector3(3, 3, 3)),
mp.Sphere(rad, center=mp.Vector3(2, 2, 2)),
mp.Sphere(rad, center=mp.Vector3(1, 1, 1)),
mp.Cylinder(rad, center=mp.Vector3(5, 5, 5)),
mp.Cylinder(rad, center=mp.Vector3(4, 4, 4)),
mp.Cylinder(rad, center=mp.Vector3(3, 3, 3)),
mp.Cylinder(rad, center=mp.Vector3(2, 2, 2)),
mp.Cylinder(rad, center=mp.Vector3(1, 1, 1)),
]
for r, e in zip(res, expected):
self.assertEqual(r.center, e.center)
def test_geometric_objects_lattice_duplicates(self):
geometry_lattice = mp.Lattice(size=mp.Vector3(1, 7),
basis1=mp.Vector3(math.sqrt(3) / 2, 0.5),
basis2=mp.Vector3(math.sqrt(3) / 2, -0.5))
eps = 12
r = 0.2
geometry = [mp.Cylinder(r, material=mp.Medium(epsilon=eps))]
geometry = mp.geometric_objects_lattice_duplicates(geometry_lattice, geometry)
med = mp.Medium(epsilon=12)
expected = [
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=3.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=2.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=1.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=0.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=-1.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=-2.0)),
mp.Cylinder(0.2, material=med, center=mp.Vector3(y=-3.0)),
]
for exp, res in zip(expected, geometry):
self.assertEqual(exp.center, res.center)
self.assertEqual(exp.radius, res.radius)
def test_cartesian_to_lattice(self):
lattice = mp.Lattice(size=mp.Vector3(1, 7),
basis1=mp.Vector3(math.sqrt(3) / 2, 0.5),
basis2=mp.Vector3(math.sqrt(3) / 2, -0.5))
res = mp.cartesian_to_lattice(lattice.basis * mp.Vector3(1), lattice)
self.assertEqual(res, mp.Vector3(1))
class TestSphere(unittest.TestCase):
def test_kwargs_passed_to_parent(self):
s = gm.Sphere(1.0)
self.assertEqual(s.material.epsilon_diag, ones())
self.assertEqual(s.center, zeros())
self.assertEqual(s.radius, 1)
s = gm.Sphere(radius=2.0)
self.assertEqual(s.material.epsilon_diag, ones())
self.assertEqual(s.center, zeros())
self.assertEqual(s.radius, 2.0)
s = gm.Sphere(1.0, center=ones())
self.assertEqual(s.material.epsilon_diag, ones())
self.assertEqual(s.center, ones())
self.assertEqual(s.radius, 1)
def test_invalid_kwarg_raises_exception(self):
with self.assertRaises(TypeError):
gm.Sphere(invalid='This is not allowed')
with self.assertRaises(TypeError):
gm.Sphere(radius=1.0, oops='Nope')
def test_non_neg_radius_constructor(self):
gm.Sphere(radius=0.0)
gm.Sphere(radius=1.0)
with self.assertRaises(ValueError) as ctx:
gm.Sphere(radius=-1)
self.assertIn("Got -1", ctx.exception)
def test_non_neg_radius_setter(self):
s = gm.Sphere(radius=0.0)
s.radius = 1.0
with self.assertRaises(ValueError) as ctx:
s.radius = -1.0
self.assertIn("Got -1.0", ctx.exception)
def test_contains_point(self):
s = gm.Sphere(center=zeros(), radius=2.0)
point = ones()
self.assertTrue(point in s)
self.assertTrue(mp.is_point_in_periodic_object(mp.Vector3(), s))
self.assertIn(point, s)
self.assertFalse(gm.Vector3(10, 10, 10) in s)
def test_shift(self):
s = gm.Sphere(center=zeros(), radius=2.0)
self.assertEqual(s.center, gm.Vector3())
shifted = s.shift(gm.Vector3(10))
self.assertEqual(shifted.center, gm.Vector3(10, 0, 0))
self.assertEqual(shifted.radius, 2.0)
s = gm.Sphere(center=gm.Vector3(10, 10), radius=2.0)
shifted = s.shift(gm.Vector3(-10, -10))
self.assertEqual(shifted.center, gm.Vector3())
def test_info(self):
# Sanity test to ensure that display_geometric_object_info is callable
s = gm.Sphere(2)
s.info()
s.info(2)
class TestCylinder(unittest.TestCase):
def test_non_neg_height_constructor(self):
gm.Cylinder(radius=1.0, height=0.0)
gm.Cylinder(radius=1.0, height=1.0)
with self.assertRaises(ValueError) as ctx:
gm.Cylinder(radius=1.0, height=-1)
self.assertIn("Got -1", ctx.exception)
def test_non_neg_height_setter(self):
s = gm.Cylinder(radius=1.0, height=0.0)
s.height = 1.0
with self.assertRaises(ValueError) as ctx:
s.height = -1.0
self.assertIn("Got -1.0", ctx.exception)
def test_contains_point(self):
c = gm.Cylinder(center=zeros(), radius=2.0, height=4.0)
self.assertIn(zeros(), c)
self.assertIn(gm.Vector3(2, 0, 0), c)
self.assertIn(gm.Vector3(2, 0, 2), c)
self.assertNotIn(gm.Vector3(2.0001, 0, 0), c)
self.assertNotIn(gm.Vector3(10, 10, 10), c)
def test_missing_required_arg_throws(self):
c = gm.Cylinder(radius=2.0, height=4.0, center=None)
with self.assertRaises(ValueError) as ctx:
self.assertIn(zeros(), c)
self.assertIn("Vector3 is not initialized", ctx.exception)
def test_wrong_type_exception(self):
"""Test for Issue 180"""
with self.assertRaises(TypeError):
gm.Cylinder(radius=mp.Vector3())
class TestWedge(unittest.TestCase):
def test_default_properties(self):
import math
w = gm.Wedge(center=zeros(), radius=2.0, height=4.0, axis=gm.Vector3(0, 0, 1))
self.assertEqual(w.wedge_angle, 8 * math.atan(1))
def test_contains_point(self):
w = gm.Wedge(center=zeros(), radius=2.0, height=4.0, axis=gm.Vector3(0, 0, 1))
self.assertIn(gm.Vector3(2.0, 0, 0), w)
class TestCone(unittest.TestCase):
def test_contains_point(self):
c = gm.Cone(center=zeros(), radius=2.0, height=3.0, axis=gm.Vector3(0, 0, 1))
self.assertIn(gm.Vector3(0, 0, 1), c)
class TestBlock(unittest.TestCase):
def test_contains_point(self):
b = gm.Block(size=ones(), center=zeros())
self.assertIn(zeros(), b)
class TestEllipsoid(unittest.TestCase):
def test_contains_point(self):
e = gm.Ellipsoid(size=ones(), center=zeros())
self.assertIn(zeros(), e)
class TestPrism(unittest.TestCase):
def test_contains_point(self):
vertices = [gm.Vector3(-1, 1), gm.Vector3(1, 1), gm.Vector3(1, -1), gm.Vector3(-1, -1)]
p = gm.Prism(vertices, height=1)
self.assertIn(zeros(), p)
self.assertNotIn(gm.Vector3(2, 2), p)
class TestMedium(unittest.TestCase):
def test_D_conductivity(self):
m = gm.Medium(D_conductivity=2)
self.assertEqual(m.D_conductivity_diag.x, 2)
self.assertEqual(m.D_conductivity_diag.y, 2)
self.assertEqual(m.D_conductivity_diag.z, 2)
def test_B_conductivity(self):
m = gm.Medium(B_conductivity=2)
self.assertEqual(m.B_conductivity_diag.x, 2)
self.assertEqual(m.B_conductivity_diag.y, 2)
self.assertEqual(m.B_conductivity_diag.z, 2)
def test_E_chi2(self):
m = gm.Medium(E_chi2=2)
self.assertEqual(m.E_chi2_diag.x, 2)
self.assertEqual(m.E_chi2_diag.y, 2)
self.assertEqual(m.E_chi2_diag.z, 2)
def test_E_chi3(self):
m = gm.Medium(E_chi3=2)
self.assertEqual(m.E_chi3_diag.x, 2)
self.assertEqual(m.E_chi3_diag.y, 2)
self.assertEqual(m.E_chi3_diag.z, 2)
def test_H_chi2(self):
m = gm.Medium(H_chi2=2)
self.assertEqual(m.H_chi2_diag.x, 2)
self.assertEqual(m.H_chi2_diag.y, 2)
self.assertEqual(m.H_chi2_diag.z, 2)
def test_H_chi3(self):
m = gm.Medium(H_chi3=2)
self.assertEqual(m.H_chi3_diag.x, 2)
self.assertEqual(m.H_chi3_diag.y, 2)
self.assertEqual(m.H_chi3_diag.z, 2)
def test_check_material_frequencies(self):
mat = mp.Medium(valid_freq_range=mp.FreqRange(min=10, max=20))
invalid_sources = [
[mp.Source(mp.GaussianSource(5, fwidth=1), mp.Ez, mp.Vector3())],
[mp.Source(mp.ContinuousSource(10, fwidth=1), mp.Ez, mp.Vector3())],
[mp.Source(mp.GaussianSource(10, width=1), mp.Ez, mp.Vector3())],
[mp.Source(mp.GaussianSource(20, width=1), mp.Ez, mp.Vector3())],
]
cell_size = mp.Vector3(5, 5)
resolution = 5
def check_warnings(sim, should_warn=True):
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
sim.run(until=5)
if should_warn:
self.assertEqual(len(w), 1)
self.assertIn("material", str(w[-1].message))
else:
self.assertEqual(len(w), 0)
geom = [mp.Sphere(0.2, material=mat)]
for s in invalid_sources:
# Check for invalid extra_materials
sim = mp.Simulation(cell_size=cell_size, resolution=resolution, sources=s, extra_materials=[mat])
check_warnings(sim)
# Check for invalid geometry materials
sim = mp.Simulation(cell_size=cell_size, resolution=resolution, sources=s, geometry=geom)
check_warnings(sim)
valid_sources = [
[mp.Source(mp.GaussianSource(15, fwidth=1), mp.Ez, mp.Vector3())],
[mp.Source(mp.ContinuousSource(15, width=5), mp.Ez, mp.Vector3())]
]
for s in valid_sources:
sim = mp.Simulation(cell_size=cell_size, resolution=resolution, sources=s, extra_materials=[mat])
check_warnings(sim, False)
# Check DFT frequencies
# Invalid extra_materials
sim = mp.Simulation(cell_size=cell_size, resolution=resolution, sources=valid_sources[0],
extra_materials=[mat])
fregion = mp.FluxRegion(center=mp.Vector3(0, 1), size=mp.Vector3(2, 2), direction=mp.X)
sim.add_flux(15, 6, 2, fregion)
check_warnings(sim)
# Invalid geometry material
sim = mp.Simulation(cell_size=cell_size, resolution=resolution, sources=valid_sources[0], geometry=geom)
sim.add_flux(15, 6, 2, fregion)
check_warnings(sim)
def test_transform(self):
e_sus = [mp.LorentzianSusceptibility(sigma_diag=mp.Vector3(1, 2, 3),
sigma_offdiag=mp.Vector3(12, 13, 14)),
mp.DrudeSusceptibility(sigma_diag=mp.Vector3(1, 2, 3),
sigma_offdiag=mp.Vector3(12, 13, 14))]
mat = mp.Medium(epsilon_diag=mp.Vector3(1, 2, 3), epsilon_offdiag=mp.Vector3(12, 13, 14),
E_susceptibilities=e_sus)
rot_angle = math.radians(23.9)
rot_matrix = mp.Matrix(mp.Vector3(math.cos(rot_angle), math.sin(rot_angle), 0),
mp.Vector3(-math.sin(rot_angle), math.cos(rot_angle), 0),
mp.Vector3(0, 0, 1))
mat.transform(rot_matrix)
expected_diag = mp.Vector3(-7.72552, 10.72552, 3)
expected_offdiag = mp.Vector3(7.69024, 6.21332, 18.06640)
self.assertTrue(mat.epsilon_diag.close(expected_diag, tol=4))
self.assertTrue(mat.epsilon_offdiag.close(expected_offdiag, tol=4))
self.assertEqual(mat.mu_diag, mp.Vector3(1, 1, 1))
self.assertEqual(mat.mu_offdiag, mp.Vector3())
self.assertEqual(len(mat.E_susceptibilities), 2)
self.assertTrue(mat.E_susceptibilities[0].sigma_diag.close(expected_diag, tol=4))
self.assertTrue(mat.E_susceptibilities[0].sigma_offdiag.close(expected_offdiag, tol=4))
self.assertTrue(mat.E_susceptibilities[1].sigma_diag.close(expected_diag, tol=4))
self.assertTrue(mat.E_susceptibilities[1].sigma_offdiag.close(expected_offdiag, tol=4))
class TestVector3(unittest.TestCase):
def test_use_as_numpy_array(self):
v = gm.Vector3(10, 10, 10)
res = np.add(v, np.array([10, 10, 10]))
self.assertTrue(type(res) is np.ndarray)
np.testing.assert_array_equal(np.array([20, 20, 20]), res)
def test_cross(self):
v1 = mp.Vector3(x=1)
v2 = mp.Vector3(z=1)
self.assertEqual(v1.cross(v2), mp.Vector3(y=-1))
v1 = mp.Vector3(1, 1)
v2 = mp.Vector3(0, 1, 1)
self.assertEqual(v1.cross(v2), mp.Vector3(1, -1, 1))
def test_cdot(self):
complex_vec1 = mp.Vector3(complex(1, 1), complex(1, 1), complex(1, 1))
complex_vec2 = mp.Vector3(complex(2, 2), complex(2, 2), complex(2, 2))
self.assertEqual(complex_vec1.cdot(complex_vec2), 12 + 0j)
def test_rotate(self):
axis = mp.Vector3(z=1)
v = mp.Vector3(x=1)
res = v.rotate(axis, math.pi)
self.assertTrue(res.close(mp.Vector3(x=-1)))
def test_close(self):
v1 = mp.Vector3(1e-7)
v2 = mp.Vector3(1e-8)
self.assertTrue(v1.close(v2))
v1 = mp.Vector3(1e-6)
v2 = mp.Vector3(1e-7)
self.assertFalse(v1.close(v2))
v1 = mp.Vector3(1e-10)
v2 = mp.Vector3(1e-11)
self.assertTrue(v1.close(v2, tol=1e-10))
def test_mul_operator(self):
self.assertEqual(mp.Vector3(2, 2, 2) * 0.5, mp.Vector3(1, 1, 1))
self.assertEqual(mp.Vector3(1, 1, 1) * mp.Vector3(1, 1, 1), 3)
self.assertEqual(0.5 * mp.Vector3(2, 2, 2), mp.Vector3(1, 1, 1))
def test_rotate_lattice(self):
axis = mp.Vector3(1)
v = mp.Vector3(2, 2, 2)
lattice = mp.Lattice(size=mp.Vector3(1, 1))
res = v.rotate_lattice(axis, 3, lattice)
self.assertTrue(res.close(mp.Vector3(2.0, -2.262225009320625, -1.6977449770811563)))
def test_rotate_reciprocal(self):
axis = mp.Vector3(1)
v = mp.Vector3(2, 2, 2)
lattice = mp.Lattice(size=mp.Vector3(1, 1))
res = v.rotate_reciprocal(axis, 3, lattice)
self.assertTrue(res.close(mp.Vector3(2.0, -2.262225009320625, -1.6977449770811563)))
class TestLattice(unittest.TestCase):
def test_basis(self):
lattice = mp.Lattice(size=mp.Vector3(1, 7),
basis1=mp.Vector3(math.sqrt(3) / 2, 0.5),
basis2=mp.Vector3(math.sqrt(3) / 2, -0.5))
b = lattice.basis
exp = mp.Matrix(mp.Vector3(0.8660254037844388, 0.5000000000000001),
mp.Vector3(0.8660254037844388, -0.5000000000000001),
mp.Vector3(z=1.0))
for e, r in zip([exp.c1, exp.c2, exp.c3], [b.c1, b.c2, b.c3]):
self.assertTrue(e.close(r))
class TestMatrix(unittest.TestCase):
identity = mp.Matrix(mp.Vector3(1), mp.Vector3(y=1), mp.Vector3(z=1))
def matrix_eq(self, exp, res):
for e, r in zip([exp.c1, exp.c2, exp.c3], [res.c1, res.c2, res.c3]):
self.assertEqual(e, r)
def matrix_close(self, exp, res):
for e, r in zip([exp.c1, exp.c2, exp.c3], [res.c1, res.c2, res.c3]):
self.assertTrue(e.close(r))
def test_indexing(self):
self.assertEqual(self.identity[0][0], 1)
self.assertEqual(self.identity[1][1], 1)
self.assertEqual(self.identity[2][2], 1)
self.assertEqual(self.identity[0][1], 0)
def test_row(self):
self.assertEqual(self.identity.row(0), self.identity.c1)
self.assertEqual(self.identity.row(1), self.identity.c2)
self.assertEqual(self.identity.row(2), self.identity.c3)
def test_mm_mult(self):
m1 = mp.Matrix(mp.Vector3(1, 2, 3),
mp.Vector3(4, 5, 6),
mp.Vector3(7, 8, 9))
m2 = mp.Matrix(mp.Vector3(9, 8, 7),
mp.Vector3(6, 5, 4),
mp.Vector3(3, 2, 1))
res = m1 * m2
exp = mp.Matrix(mp.Vector3(90.0, 114.0, 138.0),
mp.Vector3(54.0, 69.0, 84.0),
mp.Vector3(18.0, 24.0, 30.0))
self.matrix_eq(exp, res)
def test_add(self):
result = self.identity + self.identity
self.assertEqual(result.row(0), mp.Vector3(x=2))
self.assertEqual(result.row(1), mp.Vector3(y=2))
self.assertEqual(result.row(2), mp.Vector3(z=2))
def test_sub(self):
ones_matrix = mp.Matrix(ones(), ones(), ones())
result = ones_matrix - ones_matrix
self.assertEqual(result.row(0), zeros())
self.assertEqual(result.row(1), zeros())
self.assertEqual(result.row(2), zeros())
def test_mv_mult(self):
lattice = mp.Lattice(size=mp.Vector3(1, 7),
basis1=mp.Vector3(math.sqrt(3) / 2, 0.5),
basis2=mp.Vector3(math.sqrt(3) / 2, -0.5))
res = lattice.basis * mp.Vector3(1)
exp = mp.Vector3(0.8660254037844388, 0.5000000000000001)
self.assertTrue(res.close(exp))
def test_scale(self):
m = mp.Matrix(mp.Vector3(90.0, 114.0, 138.0),
mp.Vector3(54.0, 69.0, 84.0),
mp.Vector3(18.0, 24.0, 30.0))
res = m.scale(0.5)
exp = mp.Matrix(mp.Vector3(45.0, 57.0, 69.0),
mp.Vector3(27.0, 34.5, 42.0),
mp.Vector3(9.0, 12.0, 15.0))
self.matrix_eq(exp, res)
self.matrix_eq(exp, m * 0.5)
self.matrix_eq(exp, 0.5 * m)
def test_determinant(self):
m = mp.Matrix(mp.Vector3(2),
mp.Vector3(y=2),
mp.Vector3(z=2))
m1 = mp.Matrix(mp.Vector3(1, 2, 3),
mp.Vector3(4, 5, 6),
mp.Vector3(7, 8, 9))
self.assertEqual(8, m.determinant())
self.assertEqual(0, m1.determinant())
def test_transpose(self):
m = mp.Matrix(mp.Vector3(1, 2, 3),
mp.Vector3(4, 5, 6),
mp.Vector3(7, 8, 9))
exp = mp.Matrix(mp.Vector3(1, 4, 7),
mp.Vector3(2, 5, 8),
mp.Vector3(3, 6, 9))
self.matrix_eq(exp, m.transpose())
def test_inverse(self):
self.matrix_eq(self.identity, self.identity.inverse())
lattice = mp.Lattice(size=mp.Vector3(1, 7),
basis1=mp.Vector3(math.sqrt(3) / 2, 0.5),
basis2=mp.Vector3(math.sqrt(3) / 2, -0.5))
res = lattice.basis.inverse()
exp = mp.Matrix(mp.Vector3(0.5773502691896256, 0.5773502691896256, -0.0),
mp.Vector3(0.9999999999999998, -0.9999999999999998, -0.0),
mp.Vector3(-0.0, -0.0, 1.0))
self.matrix_close(exp, res)
def test_get_rotation_matrix(self):
result = mp.get_rotation_matrix(ones(), 5)
self.assertTrue(result.c1.close(mp.Vector3(0.5224414569754843, -0.3148559165969717, 0.7924144596214877)))
self.assertTrue(result.c2.close(mp.Vector3(0.7924144596214877, 0.5224414569754843, -0.3148559165969717)))
self.assertTrue(result.c3.close(mp.Vector3(-0.3148559165969717, 0.7924144596214877, 0.5224414569754843)))
def test_conj(self):
m = mp.Matrix(mp.Vector3(x=1+1j), mp.Vector3(y=1+1j), mp.Vector3(z=1+1j))
result = m.conj()
self.assertEqual(result.c1, mp.Vector3(x=1-1j))
self.assertEqual(result.c2, mp.Vector3(y=1-1j))
self.assertEqual(result.c3, mp.Vector3(z=1-1j))
def test_adjoint(self):
m = mp.Matrix(mp.Vector3(1+1j), mp.Vector3(1+1j), mp.Vector3(1+1j))
getH_result = m.getH()
H_result = m.H
self.assertEqual(getH_result.c1, mp.Vector3(1-1j, 1-1j, 1-1j))
self.assertEqual(getH_result.c2, mp.Vector3())
self.assertEqual(getH_result.c3, mp.Vector3())
np.testing.assert_allclose(getH_result, H_result)
def test_to_numpy_array(self):
m = mp.Matrix(mp.Vector3(1+1j), mp.Vector3(1+1j), mp.Vector3(1+1j))
adjoint = m.H
m_arr = np.matrix(m)
np_adjoint = m_arr.H
np.testing.assert_allclose(adjoint, np_adjoint)
if __name__ == '__main__':
unittest.main()
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