Add JdotE test
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@ -96,6 +96,7 @@ class BasicTests():
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s_h2e[py].sum(), -s_h2e[my].sum(),
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s_h2e[pz].sum(), -s_h2e[mz].sum()]
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self.assertTrue(numpy.allclose(sum(planes), (u_estep - u_hstep)[self.src_mask[1]]))
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# print(planes, '\n', numpy.rollaxis(u_estep - u_hstep, -1), sum(planes))
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class Basic2DNoDXOnlyVacuum(unittest.TestCase, BasicTests):
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@ -211,3 +212,52 @@ class Basic3DUniformDX(unittest.TestCase, BasicTests):
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eh2e(e, h, self.epsilon)
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self.es.append(e)
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self.hs.append(h)
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class JdotE_3DUniformDX(unittest.TestCase):
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def setUp(self):
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shape = [3, 5, 5, 5]
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self.dt = 0.5
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self.j_mag = 32
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self.dxes = tuple(tuple(numpy.full(s, 2.0) for s in shape[1:]) for _ in range(2))
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self.src_mask = numpy.zeros(shape, dtype=bool)
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self.src_mask[1, 2, 2, 2] = True
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self.epsilon = numpy.full(shape, 4, dtype=float)
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self.epsilon[self.src_mask] = 2
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e = numpy.random.randint(-128, 128 + 1, size=shape).astype(numpy.float32)
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h = numpy.random.randint(-128, 128 + 1, size=shape).astype(numpy.float32)
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self.es = [e]
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self.hs = [h]
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eh2h = fdtd.maxwell_h(dt=self.dt, dxes=self.dxes)
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eh2e = fdtd.maxwell_e(dt=self.dt, dxes=self.dxes)
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for ii in range(9):
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e = e.copy()
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h = h.copy()
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eh2h(e, h)
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eh2e(e, h, self.epsilon)
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self.es.append(e)
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self.hs.append(h)
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if ii == 1:
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e[self.src_mask] += self.j_mag / self.epsilon[self.src_mask]
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self.j_dot_e = self.j_mag * e[self.src_mask]
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def test_j_dot_e(self):
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e0 = self.es[2]
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j0 = numpy.zeros_like(e0)
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j0[self.src_mask] = self.j_mag
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u0 = fdtd.delta_energy_j(j0=j0, e1=e0, dxes=self.dxes)
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args = {'dxes': self.dxes,
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'epsilon': self.epsilon}
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ii=2
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u_hstep = fdtd.energy_hstep(e0=self.es[ii-1], h1=self.hs[ii], e2=self.es[ii], **args)
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u_estep = fdtd.energy_estep(h0=self.hs[ii], e1=self.es[ii], h2=self.hs[ii + 1], **args)
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#print(u0.sum(), (u_estep - u_hstep).sum())
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self.assertTrue(numpy.allclose(u0.sum(), (u_estep - u_hstep).sum(), rtol=1e-4))
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