def test_1(self):
mesh = RectangularMesh((10, 10, 10), (1e-9, 1e-9, 1e-9))
M = VectorField(mesh); M.fill((-8e5, 0, 0))
Ms = Field(mesh); Ms.fill(8e5)
sam = magneto.scaled_abs_max(M, Ms)
self.assertEqual(1.0, sam)
def test_1(self):
mesh = RectangularMesh((10,10,10), (1e-9,1e-9,1e-9))
M = VectorField(mesh); M.fill((-8e5,0,0))
Ms = Field(mesh); Ms.fill(8e5)
sam = magneto.scaled_abs_max(M, Ms)
self.assertEqual(1.0, sam)
def test_llge(self):
mesh = RectangularMesh((10, 10, 10), (1e-9, 1e-9, 1e-9))
f1, f2 = Field(mesh), Field(mesh)
M, H, dM = VectorField(mesh), VectorField(mesh), VectorField(mesh)
# dM = f1*MxH + f2*Mx(MxH)
f1.fill(10)
f2.fill(20)
M.fill((5, 10, 15))
H.fill((20, 25, 30))
magneto.llge(f1, f2, M, H, dM)
for idx in range(dM.size()):
self.assertEqual(dM.get(idx), (-60750.0, -13500.0, 29250.0))
def test_rotated_magnetization_produces_same_rotated_exchange_field(self):
def compute(M, Ms, A, rotations=1):
for _ in range(rotations):
M = right_rotate_vector_field(M)
Ms = right_rotate_field(Ms); A = right_rotate_field(A)
H = VectorField(M.mesh)
nx, ny, nz = M.mesh.num_nodes
dx, dy, dz = M.mesh.delta
pbc, pbc_rep = M.mesh.periodic_bc
bcx, bcy, bcz = "x" in pbc, "y" in pbc, "z" in pbc
magneto.exchange(nx, ny, nz, dx, dy, dz, bcx, bcy, bcz, Ms, A, M, H)
for _ in range(rotations): H = left_rotate_vector_field(H)
return H
#mesh = RectangularMesh((32,16,8), (1e-9,1e-9,1e-9), "z", 20)
mesh = RectangularMesh((20, 20, 6), (5e-9, 5e-9, 5e-9), "xy", 20)
M0 = VectorField(mesh); M0.randomize(); M0.scale(8e5)
A = Field(mesh); A.fill(Material.Py().A)
Ms = Field(mesh); Ms.fill(Material.Py().Ms)
H0 = compute(M0, Ms, A, 0)
H1 = compute(M0, Ms, A, 1)
H2 = compute(M0, Ms, A, 2)
self.assertVectorFieldEqual(H0, H1, 1e0)
self.assertVectorFieldEqual(H0, H2, 1e0)
def test_llge(self):
mesh = RectangularMesh((10, 10, 10), (1e-9, 1e-9, 1e-9))
f1, f2 = Field(mesh), Field(mesh)
M, H, dM = VectorField(mesh), VectorField(mesh), VectorField(mesh)
# dM = f1*MxH + f2*Mx(MxH)
f1.fill(10)
f2.fill(20)
M.fill((5, 10, 15))
H.fill((20, 25, 30))
magneto.llge(f1, f2, M, H, dM)
for idx in range(dM.size()):
self.assertEqual(dM.get(idx), (-60750.0, -13500.0, 29250.0))
def right_rotate_field(M):
pbc, pbc_rep = M.mesh.periodic_bc
pbc2, pbc_rep2 = "", pbc_rep
if "x" in pbc: pbc2 += "y"
if "y" in pbc: pbc2 += "z"
if "z" in pbc: pbc2 += "x"
nn = M.mesh.num_nodes
dd = M.mesh.delta
mesh = RectangularMesh((nn[2], nn[0], nn[1]), (dd[2], dd[0], dd[1]), pbc2, pbc_rep2)
M2 = Field(mesh)
for x, y, z in M.mesh.iterateCellIndices():
a = M.get(x, y, z)
M2.set(z, x, y, a)
return M2
def right_rotate_field(M):
pbc, pbc_rep = M.mesh.periodic_bc
pbc2, pbc_rep2 = "", pbc_rep
if "x" in pbc: pbc2 += "y"
if "y" in pbc: pbc2 += "z"
if "z" in pbc: pbc2 += "x"
nn = M.mesh.num_nodes
dd = M.mesh.delta
mesh = RectangularMesh((nn[2], nn[0], nn[1]), (dd[2], dd[0], dd[1]), pbc2, pbc_rep2)
M2 = Field(mesh)
for x, y, z in M.mesh.iterateCellIndices():
a = M.get(x,y,z)
M2.set(z,x,y, a)
return M2
def test_2(self):
mesh = RectangularMesh((10, 10, 10), (1e-9, 1e-9, 1e-9))
M = VectorField(mesh)
M.fill((-8e5, 0, 0))
Ms = Field(mesh)
Ms.fill(8e5)
Ms.set(0, 0)
Ms.set(0, 8e5)
self.assertFalse(Ms.isUniform())
sam = magneto.scaled_abs_max(M, Ms)
self.assertEqual(1.0, sam)
def test_parallel_and_orthogonal_anisotropy(self):
mesh = RectangularMesh((40, 40, 40), (1e-9, 1e-9, 1e-9))
k = Field(mesh)
k.fill(520e3)
Ms = Field(mesh)
Ms.fill(8e5)
def calc(axis_vec, M_vec):
axis = VectorField(mesh)
axis.fill(axis_vec)
M = VectorField(mesh)
M.fill(M_vec)
H = VectorField(mesh)
H.fill((0, 0, 0))
E = magneto.uniaxial_anisotropy(axis, k, Ms, M,
H) * mesh.cell_volume
return H.average(), E
# parallel cases
E_ref = 0.0
H, E = calc((1, 0, 0), (8e5, 0, 0))
self.assertAlmostEqual(E_ref, E)
H, E = calc((0, 1, 0), (0, -8e5, 0))
self.assertAlmostEqual(E_ref, E)
H, E = calc((0, 0, -1), (0, 0, -1))
self.assertAlmostEqual(E_ref, E)
# orthogonal cases
E_ref = k.average() * mesh.volume
H, E = calc((0, 0, 1), (8e5, 0, 0))
self.assertAlmostEqual(E_ref, E)
for i in range(3):
self.assertAlmostEqual(0, H[i])
H, E = calc((1, 0, 0), (0, -8e5, 0))
self.assertAlmostEqual(E_ref, E)
for i in range(3):
self.assertAlmostEqual(0, H[i])
H, E = calc((0, -1, 0), (0, 0, 1))
self.assertAlmostEqual(E_ref, E)
for i in range(3):
self.assertAlmostEqual(0, H[i])
def test_2(self):
mesh = RectangularMesh((10, 10, 10), (1e-9, 1e-9, 1e-9))
M = VectorField(mesh)
M.fill((-8e5, 0, 0))
Ms = Field(mesh)
Ms.fill(8e5)
Ms.set(0, 0)
Ms.set(0, 8e5)
self.assertFalse(Ms.isUniform())
sam = magneto.scaled_abs_max(M, Ms)
self.assertEqual(1.0, sam)
def test_parallel_anisotropy(self):
mesh = RectangularMesh((40, 40, 40), (1e-9, 1e-9, 1e-9))
k = Field(mesh); k.fill(520e3)
Ms = Field(mesh); Ms.fill(8e5)
def calc(axis1_vec, axis2_vec, M_vec):
axis1 = VectorField(mesh); axis1.fill(axis1_vec)
axis2 = VectorField(mesh); axis2.fill(axis2_vec)
M = VectorField(mesh); M.fill(M_vec)
H = VectorField(mesh); H.fill((0,0,0))
E = magneto.cubic_anisotropy(axis1, axis2, k, Ms, M, H) * mesh.cell_volume
return H.average(), E
# parallel cases
E_ref = 0.0
H, E = calc((1,0,0), (0,1,0), (8e5,0,0))
self.assertEqual(E_ref, E)
for i in range(3): self.assertEqual(0.0, H[i])
H, E = calc((1,0,0), (0,-1,0), (0,-8e5,0))
self.assertEqual(E_ref, E)
for i in range(3): self.assertEqual(0, H[i])
H, E = calc((0,-1,0), (0,0,-1), (0,0,8e5))
self.assertAlmostEqual(E_ref, E)
for i in range(3): self.assertAlmostEqual(0, H[i])
def do_test(self, M_file, H_file, epsilon):
# load ref
M = readOMF(M_file)
H_ref = readOMF(H_file)
H = VectorField(M.mesh)
A = Field(M.mesh); A.fill(Material.Py().A)
Ms = Field(M.mesh); Ms.fill(Material.Py().Ms)
# calculate
mesh = M.mesh
nx, ny, nz = mesh.num_nodes
dx, dy, dz = mesh.delta
bcx, bcy, bcz = False, False, False
magneto.exchange(nx, ny, nz, dx, dy, dz, bcx, bcy, bcz, Ms, A, M, H)
# compare
self.assertVectorFieldEqual(H_ref, H, epsilon)
def pbc_exchange(self, nx, ny, nz):
dx, dy, dz = 1e-9, 1e-9, 1e-9
mesh = RectangularMesh((nx, ny, nz), (dx, dy, dz))
A = Field(mesh); A.fill(Material.Py().A)
Ms = Field(mesh); Ms.fill(Material.Py().Ms)
M = VectorField(mesh)
H = VectorField(mesh)
for bcx, bcy, bcz in itertools.product([False, True], [False, True], [False, True]):
M.fill(tuple((random.random()-0.5) * 2e5 for i in range(3)))
#M.fill((8e5, 8e5, -8e5))
magneto.exchange(nx, ny, nz, dx, dy, dz, bcx, bcy, bcz, Ms, A, M, H)
for i in range(nx*ny*nz):
#self.assertEqual(H.get(i), (0.0, 0.0, 0.0))
self.assertAlmostEqual(H.get(i)[0], 0.0)
self.assertAlmostEqual(H.get(i)[1], 0.0)
self.assertAlmostEqual(H.get(i)[2], 0.0)
def doTest(self, M_file, H_file, epsilon):
# load ref
M = readOMF(M_file)
H_ref = readOMF(H_file)
H = VectorField(M.mesh)
axis = VectorField(M.mesh)
axis.fill(
(1.0 / math.sqrt(3.0), 1.0 / math.sqrt(3.0), 1.0 / math.sqrt(3.0)))
k = Field(M.mesh)
k.fill(520e3)
Ms = Field(M.mesh)
Ms.fill(8e5)
# calculate
magneto.uniaxial_anisotropy(axis, k, Ms, M, H)
# compare
self.assertVectorFieldEqual(H_ref, H, epsilon)
def doTest(self, M_file, H_file, epsilon):
# load ref
M = readOMF(M_file)
H_ref = readOMF(H_file)
H = VectorField(M.mesh)
axis = VectorField(M.mesh); axis.fill((1.0/math.sqrt(3.0), 1.0/math.sqrt(3.0), 1.0/math.sqrt(3.0)))
k = Field(M.mesh); k.fill(520e3)
Ms = Field(M.mesh); Ms.fill(8e5)
# calculate
magneto.uniaxial_anisotropy(axis, k, Ms, M, H)
# compare
self.assertVectorFieldEqual(H_ref, H, epsilon)
def test_parallel_anisotropy(self):
mesh = RectangularMesh((40, 40, 40), (1e-9, 1e-9, 1e-9))
k = Field(mesh)
k.fill(520e3)
Ms = Field(mesh)
Ms.fill(8e5)
def calc(axis1_vec, axis2_vec, M_vec):
axis1 = VectorField(mesh)
axis1.fill(axis1_vec)
axis2 = VectorField(mesh)
axis2.fill(axis2_vec)
M = VectorField(mesh)
M.fill(M_vec)
H = VectorField(mesh)
H.fill((0, 0, 0))
E = magneto.cubic_anisotropy(axis1, axis2, k, Ms, M,
H) * mesh.cell_volume
return H.average(), E
# parallel cases
E_ref = 0.0
H, E = calc((1, 0, 0), (0, 1, 0), (8e5, 0, 0))
self.assertEqual(E_ref, E)
for i in range(3):
self.assertEqual(0.0, H[i])
H, E = calc((1, 0, 0), (0, -1, 0), (0, -8e5, 0))
self.assertEqual(E_ref, E)
for i in range(3):
self.assertEqual(0, H[i])
H, E = calc((0, -1, 0), (0, 0, -1), (0, 0, 8e5))
self.assertAlmostEqual(E_ref, E)
for i in range(3):
self.assertAlmostEqual(0, H[i])
def test_parallel_and_orthogonal_anisotropy(self):
mesh = RectangularMesh((40, 40, 40), (1e-9, 1e-9, 1e-9))
k = Field(mesh); k.fill(520e3)
Ms = Field(mesh); Ms.fill(8e5)
def calc(axis_vec, M_vec):
axis = VectorField(mesh); axis.fill(axis_vec)
M = VectorField(mesh); M.fill(M_vec)
H = VectorField(mesh); H.fill((0, 0, 0))
E = magneto.uniaxial_anisotropy(axis, k, Ms, M, H) * mesh.cell_volume
return H.average(), E
# parallel cases
E_ref = 0.0
H, E = calc((1,0,0), (8e5,0,0))
self.assertAlmostEqual(E_ref, E)
H, E = calc((0,1,0), (0,-8e5,0))
self.assertAlmostEqual(E_ref, E)
H, E = calc((0,0,-1), (0,0,-1))
self.assertAlmostEqual(E_ref, E)
# orthogonal cases
E_ref = k.average() * mesh.volume
H, E = calc((0,0,1), (8e5,0,0))
self.assertAlmostEqual(E_ref, E)
for i in range(3): self.assertAlmostEqual(0, H[i])
H, E = calc((1,0,0), (0,-8e5,0))
self.assertAlmostEqual(E_ref, E)
for i in range(3): self.assertAlmostEqual(0, H[i])
H, E = calc((0,-1,0), (0,0,1))
self.assertAlmostEqual(E_ref, E)
for i in range(3): self.assertAlmostEqual(0, H[i])