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import numpy as np
import warnings
import pytest
from numpy.testing import assert_allclose
from einsteinpy.geodesic import Geodesic
from einsteinpy.geodesic.utils import _kerr
from einsteinpy.integrators import GeodesicIntegrator
from einsteinpy.integrators.utils import _Z
@pytest.mark.parametrize(
"order, expected",
[
(4, (-1.7024143839193153, 1.3512071919596578)),
(6, (-1.349343516178727, 1.1746717580893635)),
(8, (-1.2323658786507714, 1.1161829393253857)),
]
)
def test__Z(order, expected):
assert_allclose(_Z(order), expected, atol=1e-8, rtol=1e-8)
def test_str_repr():
geodint = GeodesicIntegrator(
metric=_kerr,
metric_params=(0.9,),
q0=[2.15, np.pi / 2, 0.],
p0=[0., 0., 1.5]
)
assert str(geodint) == repr(geodint)
def test_runtime_warning1():
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
geod = Geodesic(
metric="Kerr",
metric_params=(0.9,),
position=[2.15, np.pi / 2, 0.],
momentum=[0., 0., 1.5],
time_like=True,
steps=4,
delta=0.5,
omega=1. # Unstable integration
)
assert len(w) == 2 # 2 warnings to be shown
assert issubclass(w[-1].category, RuntimeWarning)
def test_runtime_warning2():
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
geod = Geodesic(
metric="Kerr",
metric_params=(0.9,),
position=[2.15, np.pi / 2, 0.],
momentum=[0., 0., 1.5],
time_like=True,
steps=4,
delta=0.5,
omega=0.01 # Stable integration
)
assert len(w) == 0
def test_suppress_runtime_warning():
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
geod = Geodesic(
metric="Kerr",
metric_params=(0.9,),
position=[2.15, np.pi / 2, 0.],
momentum=[0., 0., 1.5],
time_like=True,
steps=4,
delta=0.5,
omega=1., # Unstable integration
suppress_warnings=True
)
assert len(w) == 0
def test_rtol_atol_runtime_warning():
with warnings.catch_warnings(record=True) as w:
warnings.simplefilter("always")
geod = Geodesic(
metric="Kerr",
metric_params=(0.9,),
position=[2.15, np.pi / 2, 0.],
momentum=[0., 0., 1.5],
time_like=True,
steps=4,
delta=0.5,
omega=1., # Unstable integration
rtol=1.,
atol=1.
)
assert len(w) == 0 # 1 warning to be shown
def test_order_NotImplementedError():
with pytest.raises(NotImplementedError):
geod = Geodesic(
metric="Kerr",
metric_params=(0.9,),
position=[2.15, np.pi / 2, 0.],
momentum=[0., 0., 1.5],
time_like=True,
steps=4,
delta=0.5,
order=5
)
@pytest.mark.parametrize("order", [4, 6, 8])
def test_higher_order_traits(order):
geod = Geodesic(
metric="Kerr",
metric_params=(0.5,),
position=[4., np.pi / 2, 0.],
momentum=[0., 0., 2.],
time_like=False,
steps=10,
delta=0.5,
order=order,
return_cartesian=False,
suppress_warnings=True
)
L = geod.momentum[-1]
theta = geod.position[2]
assert_allclose(geod.trajectory[1][:, -1], L, atol=1e-4, rtol=1e-4)
assert_allclose(geod.trajectory[1][:, 2], theta, atol=1e-6, rtol=1e-6)
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