def test_crystal_model():
real_space_a = matrix.col((10, 0, 0))
real_space_b = matrix.col((0, 11, 0))
real_space_c = matrix.col((0, 0, 12))
model = Crystal(
real_space_a=(10, 0, 0),
real_space_b=(0, 11, 0),
real_space_c=(0, 0, 12),
space_group_symbol="P 1",
)
# This doesn't work as python class uctbx.unit_cell(uctbx_ext.unit_cell)
# so C++ and python classes are different types
# assert isinstance(model.get_unit_cell(), uctbx.unit_cell)
assert model.get_unit_cell().parameters() == (10.0, 11.0, 12.0, 90.0, 90.0,
90.0)
assert approx_equal(model.get_A(),
(1 / 10, 0, 0, 0, 1 / 11, 0, 0, 0, 1 / 12))
assert approx_equal(
matrix.sqr(model.get_A()).inverse(), (10, 0, 0, 0, 11, 0, 0, 0, 12))
assert approx_equal(model.get_B(), model.get_A())
assert approx_equal(model.get_U(), (1, 0, 0, 0, 1, 0, 0, 0, 1))
assert approx_equal(model.get_real_space_vectors(),
(real_space_a, real_space_b, real_space_c))
assert (model.get_crystal_symmetry().unit_cell().parameters() ==
model.get_unit_cell().parameters())
assert model.get_crystal_symmetry().space_group() == model.get_space_group(
)
model2 = Crystal(
real_space_a=(10, 0, 0),
real_space_b=(0, 11, 0),
real_space_c=(0, 0, 12),
space_group_symbol="P 1",
)
assert model == model2
model2a = Crystal(model.get_A(), model.get_space_group())
assert model == model2a
model2b = Crystal(
matrix.sqr(model.get_A()).inverse().elems,
model.get_space_group().type().lookup_symbol(),
reciprocal=False,
)
assert model == model2b
# rotate 45 degrees about x-axis
R1 = matrix.sqr((
1,
0,
0,
0,
math.cos(math.pi / 4),
-math.sin(math.pi / 4),
0,
math.sin(math.pi / 4),
math.cos(math.pi / 4),
))
# rotate 30 degrees about y-axis
R2 = matrix.sqr((
math.cos(math.pi / 6),
0,
math.sin(math.pi / 6),
0,
1,
0,
-math.sin(math.pi / 6),
0,
math.cos(math.pi / 6),
))
# rotate 60 degrees about z-axis
R3 = matrix.sqr((
math.cos(math.pi / 3),
-math.sin(math.pi / 3),
0,
math.sin(math.pi / 3),
math.cos(math.pi / 3),
0,
0,
0,
1,
))
R = R1 * R2 * R3
model.set_U(R)
# B is unchanged
assert approx_equal(model.get_B(),
(1 / 10, 0, 0, 0, 1 / 11, 0, 0, 0, 1 / 12))
assert approx_equal(model.get_U(), R)
assert approx_equal(model.get_A(),
matrix.sqr(model.get_U()) * matrix.sqr(model.get_B()))
a_, b_, c_ = model.get_real_space_vectors()
assert approx_equal(a_, R * real_space_a)
assert approx_equal(b_, R * real_space_b)
assert approx_equal(c_, R * real_space_c)
assert (str(model).replace("-0.0000", " 0.0000") == """\
Crystal:
Unit cell: (10.000, 11.000, 12.000, 90.000, 90.000, 90.000)
Space group: P 1
U matrix: {{ 0.4330, -0.7500, 0.5000},
{ 0.7891, 0.0474, -0.6124},
{ 0.4356, 0.6597, 0.6124}}
B matrix: {{ 0.1000, 0.0000, 0.0000},
{ 0.0000, 0.0909, 0.0000},
{ 0.0000, 0.0000, 0.0833}}
A = UB: {{ 0.0433, -0.0682, 0.0417},
{ 0.0789, 0.0043, -0.0510},
{ 0.0436, 0.0600, 0.0510}}
""")
model.set_B((1 / 12, 0, 0, 0, 1 / 12, 0, 0, 0, 1 / 12))
assert approx_equal(model.get_unit_cell().parameters(),
(12, 12, 12, 90, 90, 90))
U = matrix.sqr((0.3455, -0.2589, -0.9020, 0.8914, 0.3909, 0.2293, 0.2933,
-0.8833, 0.3658))
B = matrix.sqr((1 / 13, 0, 0, 0, 1 / 13, 0, 0, 0, 1 / 13))
model.set_A(U * B)
assert approx_equal(model.get_A(), U * B)
assert approx_equal(model.get_U(), U, 1e-4)
assert approx_equal(model.get_B(), B, 1e-5)
model3 = Crystal(
real_space_a=(10, 0, 0),
real_space_b=(0, 11, 0),
real_space_c=(0, 0, 12),
space_group=sgtbx.space_group_info("P 222").group(),
)
assert model3.get_space_group().type().hall_symbol() == " P 2 2"
assert model != model3
#
sgi_ref = sgtbx.space_group_info(number=230)
model_ref = Crystal(
real_space_a=(44, 0, 0),
real_space_b=(0, 44, 0),
real_space_c=(0, 0, 44),
space_group=sgi_ref.group(),
)
assert approx_equal(model_ref.get_U(), (1, 0, 0, 0, 1, 0, 0, 0, 1))
assert approx_equal(model_ref.get_B(),
(1 / 44, 0, 0, 0, 1 / 44, 0, 0, 0, 1 / 44))
assert approx_equal(model_ref.get_A(), model_ref.get_B())
assert approx_equal(model_ref.get_unit_cell().parameters(),
(44, 44, 44, 90, 90, 90))
a_ref, b_ref, c_ref = map(matrix.col, model_ref.get_real_space_vectors())
cb_op_to_primitive = sgi_ref.change_of_basis_op_to_primitive_setting()
model_primitive = model_ref.change_basis(cb_op_to_primitive)
cb_op_to_reference = (model_primitive.get_space_group().info().
change_of_basis_op_to_reference_setting())
a_prim, b_prim, c_prim = map(matrix.col,
model_primitive.get_real_space_vectors())
assert (cb_op_to_primitive.as_abc() ==
"-1/2*a+1/2*b+1/2*c,1/2*a-1/2*b+1/2*c,1/2*a+1/2*b-1/2*c")
assert approx_equal(a_prim, -1 / 2 * a_ref + 1 / 2 * b_ref + 1 / 2 * c_ref)
assert approx_equal(b_prim, 1 / 2 * a_ref - 1 / 2 * b_ref + 1 / 2 * c_ref)
assert approx_equal(c_prim, 1 / 2 * a_ref + 1 / 2 * b_ref - 1 / 2 * c_ref)
assert cb_op_to_reference.as_abc() == "b+c,a+c,a+b"
assert approx_equal(a_ref, b_prim + c_prim)
assert approx_equal(b_ref, a_prim + c_prim)
assert approx_equal(c_ref, a_prim + b_prim)
assert approx_equal(
model_primitive.get_U(),
[
-0.5773502691896258,
0.40824829046386285,
0.7071067811865476,
0.5773502691896257,
-0.4082482904638631,
0.7071067811865476,
0.5773502691896257,
0.8164965809277259,
0.0,
],
)
assert approx_equal(
model_primitive.get_B(),
[
0.0262431940540739,
0.0,
0.0,
0.00927837023781507,
0.02783511071344521,
0.0,
0.01607060866333063,
0.01607060866333063,
0.03214121732666125,
],
)
assert approx_equal(
model_primitive.get_A(),
(0, 1 / 44, 1 / 44, 1 / 44, 0, 1 / 44, 1 / 44, 1 / 44, 0),
)
assert approx_equal(
model_primitive.get_unit_cell().parameters(),
[
38.1051177665153,
38.1051177665153,
38.1051177665153,
109.47122063449069,
109.47122063449069,
109.47122063449069,
],
)
assert model_ref != model_primitive
model_ref_recycled = model_primitive.change_basis(cb_op_to_reference)
assert approx_equal(model_ref.get_U(), model_ref_recycled.get_U())
assert approx_equal(model_ref.get_B(), model_ref_recycled.get_B())
assert approx_equal(model_ref.get_A(), model_ref_recycled.get_A())
assert approx_equal(
model_ref.get_unit_cell().parameters(),
model_ref_recycled.get_unit_cell().parameters(),
)
assert model_ref == model_ref_recycled
uc = uctbx.unit_cell(
(58.2567, 58.1264, 39.7093, 46.9077, 46.8612, 62.1055))
sg = sgtbx.space_group_info(symbol="P1").group()
cs = crystal.symmetry(unit_cell=uc, space_group=sg)
cb_op_to_minimum = cs.change_of_basis_op_to_minimum_cell()
# the reciprocal matrix
B = matrix.sqr(uc.fractionalization_matrix()).transpose()
U = random_rotation()
direct_matrix = (U * B).inverse()
model = Crystal(direct_matrix[:3],
direct_matrix[3:6],
direct_matrix[6:9],
space_group=sg)
assert uc.is_similar_to(model.get_unit_cell())
uc_minimum = uc.change_basis(cb_op_to_minimum)
model_minimum = model.change_basis(cb_op_to_minimum)
assert uc_minimum.is_similar_to(model_minimum.get_unit_cell())
assert model_minimum != model
model_minimum.update(model)
assert model_minimum == model # lgtm
A_static = matrix.sqr(model.get_A())
A_as_scan_points = [A_static]
num_scan_points = 11
for i in range(num_scan_points - 1):
A_as_scan_points.append(
A_as_scan_points[-1] *
matrix.sqr(euler_angles.xyz_matrix(0.1, 0.2, 0.3)))
model.set_A_at_scan_points(A_as_scan_points)
model_minimum = model.change_basis(cb_op_to_minimum)
assert model.num_scan_points == model_minimum.num_scan_points == num_scan_points
M = matrix.sqr(cb_op_to_minimum.c_inv().r().transpose().as_double())
M_inv = M.inverse()
for i in range(num_scan_points):
A_orig = matrix.sqr(model.get_A_at_scan_point(i))
A_min = matrix.sqr(model_minimum.get_A_at_scan_point(i))
assert approx_equal(A_min, A_orig * M_inv)
assert model.get_unit_cell().parameters() == pytest.approx(
(58.2567, 58.1264, 39.7093, 46.9077, 46.8612, 62.1055))
uc = uctbx.unit_cell((10, 11, 12, 91, 92, 93))
model.set_unit_cell(uc)
assert model.get_unit_cell().parameters() == pytest.approx(uc.parameters())
def test_check_old_vs_new():
from dxtbx.tests.model.crystal_model_old import crystal_model_old
model_1 = Crystal(
real_space_a=(10, 0, 0),
real_space_b=(0, 11, 0),
real_space_c=(0, 0, 12),
space_group_symbol="P 1",
)
model_2 = crystal_model_old(
real_space_a=(10, 0, 0),
real_space_b=(0, 11, 0),
real_space_c=(0, 0, 12),
space_group_symbol="P 1",
)
cov_B = matrix.sqr([1] * (9 * 9))
model_1.set_B_covariance(cov_B)
model_2.set_B_covariance(cov_B)
A_list = [model_1.get_A() for i in range(20)]
model_1.set_A_at_scan_points(A_list)
model_2.set_A_at_scan_points(A_list)
A1 = model_1.get_A()
A2 = model_2.get_A()
U1 = model_1.get_U()
U2 = model_2.get_U()
B1 = model_1.get_B()
B2 = model_2.get_B()
UC1 = model_1.get_unit_cell()
UC2 = model_2.get_unit_cell()
RSV1 = model_1.get_real_space_vectors()
RSV2 = model_2.get_real_space_vectors()
SG1 = model_1.get_space_group()
SG2 = model_2.get_space_group()
assert model_1.num_scan_points == model_2.num_scan_points
A_list_1 = [
model_1.get_A_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
A_list_2 = [
model_2.get_A_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
B_list_1 = [
model_1.get_B_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
B_list_2 = [
model_2.get_B_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
U_list_1 = [
model_1.get_U_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
U_list_2 = [
model_2.get_U_at_scan_point(i)
for i in range(model_1.get_num_scan_points())
]
assert approx_equal(A1, A2)
assert approx_equal(B1, B2)
assert approx_equal(U1, U2)
assert approx_equal(UC1.parameters(), UC2.parameters())
assert approx_equal(RSV1[0], RSV2[0])
assert approx_equal(RSV1[1], RSV2[1])
assert approx_equal(RSV1[2], RSV2[2])
assert str(SG1.info()) == str(SG2.info())
for i in range(model_1.get_num_scan_points()):
assert approx_equal(A_list_1[i], A_list_2[i])
assert approx_equal(B_list_1[i], B_list_2[i])
assert approx_equal(U_list_1[i], U_list_2[i])
cell_sd_1 = model_1.get_cell_parameter_sd()
cell_sd_2 = model_2.get_cell_parameter_sd()
cell_volume_sd_1 = model_1.get_cell_volume_sd()
cell_volume_sd_2 = model_2.get_cell_volume_sd()
covB1 = model_1.get_B_covariance()
covB2 = model_1.get_B_covariance()
assert approx_equal(covB1, covB2)
assert approx_equal(cell_volume_sd_1, cell_volume_sd_2)
assert approx_equal(cell_sd_1, cell_sd_2)