File: test_geodesic.py

package info (click to toggle)
einsteinpy 0.4.0-4
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 40,712 kB
  • sloc: python: 8,196; makefile: 146
file content (171 lines) | stat: -rw-r--r-- 3,799 bytes parent folder | download | duplicates (2)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
import warnings

import numpy as np
import pytest
from numpy.testing import assert_allclose

from einsteinpy.geodesic import Geodesic, Nulllike, Timelike


@pytest.fixture()
def dummy_timegeod():
    """
    Equatorial Capture

    """
    return Timelike(
        metric="Kerr",
        metric_params=(0.9,),
        position=[2.15, np.pi / 2, 0.],
        momentum=[0., 0., 1.5],
        steps=50,
        delta=0.5,
        omega=0.01,  # Close orbit
        return_cartesian=True,
        suppress_warnings=True,
    )


@pytest.fixture()
def dummy_nullgeod():
    """
    Equatorial Geodesic

    """
    return Nulllike(
        metric="Kerr",
        metric_params=(0.5,),
        position=[4., np.pi / 2, 0.],
        momentum=[0., 0., 2.],
        steps=50,
        delta=0.5,
        return_cartesian=False,
        suppress_warnings=True,
    )


def test_str_repr(dummy_timegeod):
    geod = dummy_timegeod

    assert str(geod) == repr(geod)


def test_NotImplementedError():
    try:
        geod = Nulllike(
            metric="Ker",
            metric_params=(0.9,),
            position=[2.5, np.pi / 2, 0.],
            momentum=[0., 0., -8.5],
        )
        assert False

    except NotImplementedError:
        assert True


def test_geodesic_attributes1(dummy_timegeod):
    geod = dummy_timegeod
    traj = geod.trajectory

    assert traj
    assert isinstance(traj, tuple)
    assert isinstance(traj[0], np.ndarray)


def test_geodesic_attributes2(dummy_timegeod):
    geod = dummy_timegeod
    traj = geod.trajectory

    assert isinstance(traj[1], np.ndarray)
    assert traj[0].shape[0] == traj[1].shape[0]
    assert traj[1].shape[1] == 8


def test_constant_angular_momentum(dummy_nullgeod):
    L = dummy_nullgeod.momentum[-1]

    assert_allclose(dummy_nullgeod.trajectory[1][:, -1], L, atol=1e-4, rtol=1e-4)


def test_equatorial_geodesic(dummy_nullgeod):
    theta = dummy_nullgeod.position[2]

    assert_allclose(dummy_nullgeod.trajectory[1][:, 2], theta, atol=1e-6, rtol=1e-6)


def test_constant_rad():
    geod = Timelike(
        metric="Kerr",
        metric_params=(0.99,),
        position=[4., np.pi / 3, 0.],
        momentum=[0., 0.767851, 2.],
        return_cartesian=False,
        steps=50,
        delta=1.,
    )
    r = geod.trajectory[1][:, 1]

    assert_allclose(r, 4., atol=1e-2, rtol=1e-2)


def test_kerr0_eq_sch():
    metric_params = (0.,)
    q0 = [4., np.pi / 2, 0.]
    p0 = [0., 0., 0.]

    k = Timelike(
        metric="Kerr",
        metric_params=metric_params,
        position=q0,
        momentum=p0,
        steps=50,
        delta=0.5,
        return_cartesian=True,
        suppress_warnings=True,
    )

    s = Timelike(
        metric="Schwarzschild",
        metric_params=metric_params,
        position=q0,
        momentum=p0,
        steps=50,
        delta=0.5,
        return_cartesian=True,
        suppress_warnings=True,
    )

    assert_allclose(k.trajectory[0], s.trajectory[0], atol=1e-6, rtol=1e-6)
    assert_allclose(k.trajectory[1], s.trajectory[1], atol=1e-6, rtol=1e-6)


def test_kerr0_eq_kn00():
    metric_params = (0.5, 0.)
    q0 = [2.5, np.pi / 2, 0.]
    p0 = [0., 0., -8.5]

    k = Timelike(
        metric="Kerr",
        metric_params=metric_params,
        position=q0,
        momentum=p0,
        steps=50,
        delta=0.5,
        return_cartesian=True,
        suppress_warnings=True,
    )

    kn = Timelike(
        metric="KerrNewman",
        metric_params=metric_params,
        position=q0,
        momentum=p0,
        steps=50,
        delta=0.5,
        return_cartesian=True,
        suppress_warnings=True,
    )

    assert_allclose(k.trajectory[0], kn.trajectory[0], atol=1e-6, rtol=1e-6)
    assert_allclose(k.trajectory[1], kn.trajectory[1], atol=1e-6, rtol=1e-6)