def test_get_order(rotation_matrix, translation_vector, repr_matrix,
repr_has_cc, result, numeric):
"""
Check that the ``get_order`` method matches the expected result.
"""
sym_op = sr.SymmetryOperation(rotation_matrix=rotation_matrix,
translation_vector=translation_vector,
repr_matrix=repr_matrix,
repr_has_cc=repr_has_cc,
numeric=numeric)
assert sym_op.get_order() == result
def test_get_order_invalid(numeric):
"""
Check that the ``get_order`` method raises an error when the symmetry
operations are invalid (have no power that is the identity).
"""
sym_op = sr.SymmetryOperation(rotation_matrix=[[1, 1], [0, 1]],
translation_vector=None,
repr_matrix=sp.eye(2, 2),
repr_has_cc=True,
numeric=numeric)
with pytest.raises(ValueError):
sym_op.get_order()
from sympy.physics.quantum import TensorProduct
import symmetry_representation as sr
import kdotp_symmetry as kp
kx, ky, kz = sp.symbols('kx, ky, kz')
PAULI_VEC = [sp.eye(2), *(sm.msigma(i) for i in range(1, 4))]
@pytest.mark.parametrize(
'symmetry_operations,expr_basis,repr_basis,result', [
(
[
sr.SymmetryOperation(
rotation_matrix=[[0, 1, 0], [1, 0, 0], [0, 0, 1]],
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=False,
numeric=False
)
], kp.monomial_basis(0), 'auto',
[Matrix([[1, 0], [0, 1]]),
Matrix([[0, 1], [1, 0]])]
), (
[
sr.SymmetryOperation(
rotation_matrix=[[0, 1, 0], [1, 0, 0], [0, 0, 1]],
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=False,
numeric=False
)
], kp.monomial_basis(1), 'auto', [
Matrix([[kx, 0], [0, ky]]),
15,
)
else: # case of inversion (does not do anything to spin)
spin = D12(0, 0, 0, 0)
return np.array(spin)
if __name__ == "__main__":
# For this example we already changed the order of the orbitals (unlike the
# other symmetrization example).
model_nosym = tb.Model.from_hdf5_file("data/model_nosym.hdf5")
# set up symmetry operations
time_reversal = sr.SymmetryOperation(
rotation_matrix=np.eye(3),
repr_matrix=np.kron([[0, -1j], [1j, 0]], np.eye(7)),
repr_has_cc=True,
)
structure = mg.Structure(
lattice=model_nosym.uc,
species=["In", "As"],
coords=np.array([[0, 0, 0], [0.25, 0.25, 0.25]]),
)
# get real-space representations
analyzer = mg.symmetry.analyzer.SpacegroupAnalyzer(structure)
symops = analyzer.get_symmetry_operations(cartesian=False)
symops_cart = analyzer.get_symmetry_operations(cartesian=True)
rots = [x.rotation_matrix for x in symops]
taus = [x.translation_vector for x in symops]
#!/usr/bin/env python
# -*- coding: utf-8 -*-
import tempfile
import pytest
import numpy as np
import symmetry_representation as sr
SYM_OP = sr.SymmetryOperation(rotation_matrix=np.array([[1, 2, 3], [4, 5j,
9]]),
repr_matrix=np.array([[0, 1], [3, 5]]),
repr_has_cc=True)
REPR_MATRIX = sr.Representation(matrix=np.array([[1j, 0], [-2j, 3j]]))
SYM_GROUP = sr.SymmetryGroup(symmetries=[SYM_OP, SYM_OP], full_group=True)
@pytest.mark.parametrize('data', [
SYM_OP, [SYM_OP], REPR_MATRIX, [REPR_MATRIX],
[SYM_OP, [SYM_OP], REPR_MATRIX], SYM_GROUP,
[SYM_GROUP, SYM_OP, REPR_MATRIX]
])
def test_save_load(data):
with tempfile.NamedTemporaryFile() as f:
print(data)
sr.io.save(data, f.name)
result = sr.io.load(f.name)
np.testing.assert_equal(result, data)
# (c) 2017-2018, ETH Zurich, Institut fuer Theoretische Physik
# Author: Dominik Gresch <*****@*****.**>
"""
Tests for saving and loading ``symmetry-representation`` objects.
"""
import tempfile
import pytest
import numpy as np
import sympy as sp
import symmetry_representation as sr
SYM_OP = sr.SymmetryOperation(rotation_matrix=np.array([[1, 2, 3], [4, 5, 9],
[10, 11, 12]]),
repr_matrix=np.array([[0, 1], [1, 0]]),
repr_has_cc=True)
SYM_OP_ANALYTIC = sr.SymmetryOperation(rotation_matrix=np.array([[1, 2, 3],
[4, 5, 9],
[10, 11,
12]]),
repr_matrix=sp.Matrix([[0, sp.I],
[-sp.I, 0]]),
repr_has_cc=True)
REPR_MATRIX = sr.Representation(matrix=np.array([[1j, 0], [0, -1j]]))
REPR_MATRIX_ANALYTIC = sr.Representation(
matrix=sp.Matrix([[sp.I, 0], [0, sp.I]]))
SYM_GROUP = sr.SymmetryGroup(symmetries=[SYM_OP, SYM_OP], full_group=True)
@pytest.mark.parametrize('data', [
# Author: Dominik Gresch <*****@*****.**>
"""
Tests for the SymmetryOperation class.
"""
import pytest
import numpy as np
import sympy as sp
import symmetry_representation as sr
@pytest.mark.parametrize(['left', 'right', 'result'], [
(sr.SymmetryOperation(rotation_matrix=np.eye(3),
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=True),
sr.SymmetryOperation(rotation_matrix=np.eye(3),
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=True),
sr.SymmetryOperation(
rotation_matrix=np.eye(3), repr_matrix=np.eye(2), repr_has_cc=False)),
(sr.SymmetryOperation(rotation_matrix=sp.eye(3, 3),
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=True,
numeric=False),
sr.SymmetryOperation(rotation_matrix=sp.eye(3, 3),
repr_matrix=[[0, 1], [1, 0]],
repr_has_cc=True,
numeric=False),
sr.SymmetryOperation(rotation_matrix=np.eye(3),
import sympy as sp
from sympy.core.numbers import I
import sympy.physics.matrices as sm
from sympy.physics.quantum import TensorProduct
import symmetry_representation as sr
import kdotp_symmetry as kp
# In this project we used the basis of tensor products of Pauli matrices
pauli_vec = [sp.eye(2), *(sm.msigma(i) for i in range(1, 4))]
basis = [TensorProduct(p1, p2) for p1 in pauli_vec for p2 in pauli_vec]
# creating the symmetry operations
c2y = sr.SymmetryOperation(
rotation_matrix=[[0, 1, 0], [1, 0, 0], [0, 0, -1]],
repr_matrix=sp.diag(I, -I, I, -I),
repr_has_cc=False
)
parity = sr.SymmetryOperation(
rotation_matrix=-sp.eye(3),
repr_matrix=sp.diag(1, 1, -1, -1),
repr_has_cc=False
)
time_reversal = sr.SymmetryOperation(
rotation_matrix=sp.eye(3),
repr_matrix=TensorProduct(sp.eye(2), sp.Matrix([[0, -1], [1, 0]])),
repr_has_cc=True
)
