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
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
|
import sys
from io import StringIO
from unittest import mock
import astropy.units as u
import numpy as np
import pytest
from numpy.testing import assert_allclose
from einsteinpy.coordinates import BoyerLindquist, Cartesian, Spherical
from einsteinpy import constant
_c = constant.c.value
@pytest.fixture()
def cartesian():
return Cartesian(
0.0 * u.s,
2e4 * u.m,
311e3 * u.m,
210e3 * u.m
)
@pytest.fixture()
def spherical():
return Spherical(
0.0 * u.s,
375793.82645275 * u.m,
0.9778376650369 * u.rad,
1.5065760775947 * u.rad
)
@pytest.fixture()
def boyerlindquist():
return BoyerLindquist(
0.0 * u.s,
375793.82645275 * u.m,
0.9778376650369 * u.rad,
1.5065760775947 * u.rad
)
def test_CartesianToSpherical(cartesian, spherical):
to_spherical = cartesian.to_spherical()
assert_allclose(
to_spherical.values(), spherical.values(), rtol=0.0, atol=1e-6
)
def test_CartesianToBoyerLindquist(cartesian, boyerlindquist):
M = 1e24 * u.kg
a = 0.75 * u.one
bl = boyerlindquist
to_bl = cartesian.to_bl(M=M, a=a)
assert_allclose(to_bl.values(), bl.values(), rtol=0.0, atol=1e-6)
def test_SphericalToCartesian(spherical, cartesian):
to_cartesian = spherical.to_cartesian()
assert_allclose(
to_cartesian.values(), cartesian.values(), rtol=0.0, atol=1e-6
)
def test_SphericalToBoyerLindquist(spherical, boyerlindquist):
M = 1e24 * u.kg
a = 0.75 * u.one
bl = boyerlindquist
to_bl = spherical.to_bl(M=M, a=a)
assert_allclose(to_bl.values(), bl.values(), rtol=0.0, atol=1e-6)
def test_BoyerLindquistToCartesian(boyerlindquist, cartesian):
M = 1e24 * u.kg
a = 0.75 * u.one
bl = boyerlindquist
to_cartesian = bl.to_cartesian(M=M, a=a)
assert_allclose(
to_cartesian.values(), cartesian.values(), rtol=0.0, atol=1e-6
)
def test_BoyerLindquistToSpherical(boyerlindquist, spherical):
M = 1e24 * u.kg
a = 0.75 * u.one
bl = boyerlindquist
to_spherical = bl.to_spherical(M=M, a=a)
assert_allclose(
to_spherical.values(), spherical.values(), rtol=0.0, atol=1e-6
)
@pytest.mark.parametrize(
"cart, M, a",
[
(
Cartesian(1e0 * u.s, 10 * u.m, 10 * u.m, 0 * u.m),
1e24 * u.kg,
0.7 * u.one
),
(
Cartesian(1e1 * u.s, -732e2 * u.m, 456e2 * u.m, -90e2 * u.m),
3e10 * u.kg,
0.9 * u.one
),
(
Cartesian(1e2 * u.s, -0.732e2 * u.m, -1.456e2 * u.m, 90 * u.m),
55e20 * u.kg,
0.3 * u.one
),
(
Cartesian(1e3 * u.s, 2 * u.m, -1 * u.m, 0 * u.m),
7e10 * u.kg,
0 * u.one
),
],
)
def test_cycle_CartesianBL(cart, M, a):
bl = cart.to_bl(M=M, a=a)
cart2 = bl.to_cartesian(M=M, a=a)
assert_allclose(cart2.values(), cart.values(), rtol=0.0, atol=1e-6)
@pytest.mark.parametrize(
"bl, M, a",
[
(
BoyerLindquist(1e2 * u.s, 3 * u.m, 2 * np.pi / 3 * u.rad, 3.0543261909900767 * u.rad),
1e24 * u.kg,
0.3 * u.one
),
(
BoyerLindquist(1e3 * u.s, 100 * u.m, 1e-3 * u.rad, 0 * u.rad),
4e20 * u.kg,
0.9 * u.one
)
],
)
def test_cycle_BLSpherical(bl, M, a):
sph = bl.to_spherical(M=M, a=a)
bl2 = sph.to_bl(M=M, a=a)
assert_allclose(bl2.values(), bl.values(), rtol=0.0, atol=1e-6)
def test_position(cartesian, spherical, boyerlindquist):
cart_pos = np.array([_c * cartesian[0].value, cartesian[1].value, cartesian[2].value, cartesian[3].value])
sph_pos = np.array([_c * spherical[0].value, spherical[1].value, spherical[2].value, spherical[3].value])
bl_pos = np.array([
_c * boyerlindquist[0].value,
boyerlindquist[1].value,
boyerlindquist[2].value,
boyerlindquist[3].value
])
assert_allclose(cartesian.position(), cart_pos)
assert_allclose(spherical.position(), sph_pos)
assert_allclose(boyerlindquist.position(), bl_pos)
# Tests for object.__str__ and object.__repr__
@mock.patch("sys.stdout", new_callable=StringIO)
def test_str_core_objects(mock_stdout, cartesian, spherical, boyerlindquist):
print(str(cartesian))
assert "object at 0x" not in mock_stdout.getvalue()
print(str(spherical))
assert "object at 0x" not in mock_stdout.getvalue()
print(str(boyerlindquist))
assert "object at 0x" not in mock_stdout.getvalue()
@mock.patch("sys.stdout", new_callable=StringIO)
def test_repr_core_objects(mock_stdout, cartesian, spherical, boyerlindquist):
print(repr(cartesian))
assert "object at 0x" not in mock_stdout.getvalue()
print(repr(spherical))
assert "object at 0x" not in mock_stdout.getvalue()
print(repr(boyerlindquist))
assert "object at 0x" not in mock_stdout.getvalue()
def test_coordinate_subscripting(cartesian, spherical, boyerlindquist):
assert cartesian["x"] == cartesian.x == cartesian[1] == cartesian[-3]
assert spherical["theta"] == spherical.theta == spherical[2] == spherical[-2]
assert (
boyerlindquist["phi"]
== boyerlindquist.phi
== boyerlindquist[3]
== boyerlindquist[-1]
)
|
