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
|
# Copyright (c) 2019-2025, Saransh Chopra, Henry Schreiner, Eduardo Rodrigues, Jonas Eschle, and Jim Pivarski.
#
# Distributed under the 3-clause BSD license, see accompanying file LICENSE
# or https://github.com/scikit-hep/vector for details.
from __future__ import annotations
import math
import pytest
import vector
sympy = pytest.importorskip("sympy")
pytestmark = pytest.mark.sympy
x, y, rho, phi, theta = sympy.symbols("x y rho phi theta", real=True)
values = {x: 3, y: 4, rho: 5, phi: 0, theta: 0.4636476090008061}
def test_xy_z():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(
sympy.sqrt(x**2 + y**2) / sympy.tan(theta)
),
)
assert vec.cottheta == 1 / sympy.tan(theta)
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
def test_xy_theta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyTheta(theta),
)
assert vec.cottheta == 1 / sympy.tan(theta)
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
def test_xy_eta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyXY(x, y),
longitudinal=vector.backends.sympy.LongitudinalSympyEta(
-sympy.log(sympy.tan(0.5 * theta))
),
)
assert vec.cottheta == 1 / sympy.tan(2.0 * sympy.atan(sympy.tan(0.5 * theta)))
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
def test_rhophi_z():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyZ(rho / sympy.tan(theta)),
)
assert vec.cottheta == 1 / sympy.tan(theta)
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
def test_rhophi_theta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyTheta(theta),
)
assert vec.cottheta == 1 / sympy.tan(theta)
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
def test_rhophi_eta():
vec = vector.VectorSympy3D(
azimuthal=vector.backends.sympy.AzimuthalSympyRhoPhi(rho, phi),
longitudinal=vector.backends.sympy.LongitudinalSympyEta(
-sympy.log(sympy.tan(0.5 * theta))
),
)
assert vec.cottheta == 1 / sympy.tan(2.0 * sympy.atan(sympy.tan(0.5 * theta)))
assert vec.cottheta.subs(values).evalf() == pytest.approx(
1 / math.tan(0.4636476090008061)
)
|
