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UnitsTests.cpp
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1 // This file is part of the Acts project.
2 //
3 // Copyright (C) 2017-2020 CERN for the benefit of the Acts project
4 //
5 // This Source Code Form is subject to the terms of the Mozilla Public
6 // License, v. 2.0. If a copy of the MPL was not distributed with this
7 // file, You can obtain one at http://mozilla.org/MPL/2.0/.
8 
9 #include <boost/test/unit_test.hpp>
10 
11 #include "Acts/Definitions/Units.hpp"
12 #include "Acts/Tests/CommonHelpers/FloatComparisons.hpp"
13 
14 #include <cmath>
15 #include <limits>
16 
17 using namespace Acts::UnitLiterals;
18 
19 static constexpr auto eps = std::numeric_limits<double>::epsilon();
20 
21 BOOST_AUTO_TEST_SUITE(DefinitionsUnits)
22 
23 BOOST_AUTO_TEST_CASE(Length) {
24  CHECK_CLOSE_REL(1_m, 1e-3_km, eps);
25  CHECK_CLOSE_REL(1_m, 1e2_cm, eps);
26  CHECK_CLOSE_REL(1_m, 1e3_mm, eps);
27  CHECK_CLOSE_REL(1_m, 1e6_um, eps);
28  CHECK_CLOSE_REL(1_m, 1e9_nm, eps);
29  CHECK_CLOSE_REL(1_m, 1e12_pm, eps);
30  CHECK_CLOSE_REL(1_m, 1e15_fm, eps);
31 }
32 
33 BOOST_AUTO_TEST_CASE(Area) {
34  CHECK_CLOSE_REL(1_mm * 1_mm, 1_mm2, eps);
35  CHECK_CLOSE_REL(1_mm * 1_mm, 0.01_cm2, eps);
36  CHECK_CLOSE_REL(1_mm * 1_mm, 0.000001_m2, eps);
37  CHECK_CLOSE_REL(1_cm * 1_cm, 100_mm2, eps);
38  CHECK_CLOSE_REL(1_cm * 1_cm, 1_cm2, eps);
39  CHECK_CLOSE_REL(1_cm * 1_cm, 0.0001_m2, eps);
40  CHECK_CLOSE_REL(1_m * 1_m, 1000000_mm2, eps);
41  CHECK_CLOSE_REL(1_m * 1_m, 10000_cm2, eps);
42  CHECK_CLOSE_REL(1_m * 1_m, 1_m2, eps);
43 }
44 
45 BOOST_AUTO_TEST_CASE(Volume) {
46  CHECK_CLOSE_REL(1_mm * 1_mm * 1_mm, 1_mm3, eps);
47  CHECK_CLOSE_REL(1_mm2 * 1_mm, 1_mm3, eps);
48  CHECK_CLOSE_REL(1_cm * 1_cm * 1_cm, 1_cm3, eps);
49  CHECK_CLOSE_REL(1_cm2 * 1_cm, 1_cm3, eps);
50  CHECK_CLOSE_REL(1_m * 1_m * 1_m, 1_m3, eps);
51  CHECK_CLOSE_REL(1_m2 * 1_m, 1_m3, eps);
52 }
53 
54 BOOST_AUTO_TEST_CASE(Time) {
55  CHECK_CLOSE_REL(1_h, 60_min, eps);
56  CHECK_CLOSE_REL(1_h, 3600_s, eps);
57  CHECK_CLOSE_REL(1_min, 60_s, eps);
58  CHECK_CLOSE_REL(1_s, 1e3_ms, eps);
59  CHECK_CLOSE_REL(1_s, 1e6_us, eps);
60  CHECK_CLOSE_REL(1_s, 1e9_ns, eps);
61  CHECK_CLOSE_REL(1_s, 1e12_ps, eps);
62  CHECK_CLOSE_REL(1_s, 1e15_fs, eps);
63 }
64 
65 BOOST_AUTO_TEST_CASE(Angle) {
66  CHECK_CLOSE_REL(45_degree, M_PI / 4 * 1_rad, eps);
67  CHECK_CLOSE_REL(90_degree, M_PI / 2 * 1_rad, eps);
68  CHECK_CLOSE_REL(180_degree, M_PI * 1_rad, eps);
69  CHECK_CLOSE_REL(360_degree, 2 * M_PI * 1_rad, eps);
70  CHECK_CLOSE_REL(1_mm / 1_m, 1_mrad, eps);
71  CHECK_CLOSE_REL(1_um / 1_mm, 1_mrad, eps);
72 }
73 
74 BOOST_AUTO_TEST_CASE(Energy) {
75  CHECK_CLOSE_REL(1_MeV, 1e6_eV, eps);
76  CHECK_CLOSE_REL(1_MeV, 1e3_keV, eps);
77  CHECK_CLOSE_REL(1_MeV, 1e-3_GeV, eps);
78  CHECK_CLOSE_REL(1_MeV, 1e-6_TeV, eps);
79 }
80 
81 BOOST_AUTO_TEST_CASE(Mass) {
82  // always assume c == 1
83  CHECK_CLOSE_REL(1_kg, 1000_g, eps);
84  CHECK_CLOSE_REL(0.001_kg, 1_g, eps);
85  CHECK_CLOSE_REL(1_u, 931.49410242_MeV, eps);
86  CHECK_CLOSE_REL(1_u, 1.66053906660e-24_g, 1e-7);
87 }
88 
89 BOOST_AUTO_TEST_CASE(MassEnergy) {
90  // always assume c == 1
91  CHECK_CLOSE_REL(1.782662e-36_kg, 1_eV, eps);
92  CHECK_CLOSE_REL(1.782662e-33_kg, 1_keV, eps);
93  CHECK_CLOSE_REL(1.782662e-30_kg, 1_MeV, eps);
94  CHECK_CLOSE_REL(1.782662e-27_kg, 1_GeV, eps);
95  CHECK_CLOSE_REL(1.782662e-33_g, 1_eV, eps);
96  CHECK_CLOSE_REL(1.782662e-30_g, 1_keV, eps);
97  CHECK_CLOSE_REL(1.782662e-27_g, 1_MeV, eps);
98  CHECK_CLOSE_REL(1.782662e-24_g, 1_GeV, eps);
99 }
100 
101 BOOST_AUTO_TEST_CASE(DecayWidthTime) {
102  using Acts::PhysicalConstants::hbar;
103  // lifetime is hbar / decay-width
104  // pion
105  CHECK_CLOSE_REL(hbar / 2.5284e-17_GeV, 26.032746062598505_ns, 1e-7);
106  // muon
107  CHECK_CLOSE_REL(hbar / 2.9959847e-19_GeV, 2.1969803498887713_us, 1e-7);
108  // top
109  CHECK_CLOSE_REL(hbar / 1.42_GeV, 4.635295432723526e-10_fs, 1e-7);
110 }
111 
112 BOOST_AUTO_TEST_CASE(MagneticField) {
113  CHECK_CLOSE_REL(10_kGauss, 1_T, eps);
114  CHECK_CLOSE_REL(1_kGauss, 1000_Gauss, eps);
115 }
116 
117 BOOST_AUTO_TEST_CASE(MomentumRadius) {
118  // note: no conversion factors necessary
119  CHECK_CLOSE_REL(1_GeV / (1_e * 1_T), 3.3336_m, 1e-3);
120  CHECK_CLOSE_REL(1_GeV / (1_e * 2_T), 166.8_cm, 1e-3);
121  CHECK_CLOSE_REL(1_GeV / (2_e * 1_T), 166.8_cm, 1e-3);
122  CHECK_CLOSE_REL(1_GeV / (1_e * 4_T), 83.39_cm, 1e-3);
123  CHECK_CLOSE_REL(1_GeV / (2_e * 2_T), 83.39_cm, 1e-3);
124 }
125 
126 BOOST_AUTO_TEST_CASE(PhysicalConstants) {
127  using Acts::PhysicalConstants::hbar;
128  // see https://en.wikipedia.org/wiki/Planck_constant
129  CHECK_CLOSE_REL(hbar, 6.62607015e-34 * 1_J * 1_s / (2 * M_PI), 1e-6);
130  CHECK_CLOSE_REL(hbar, 4.135667696e-15 * 1_eV * 1_s / (2 * M_PI), 1e-7);
131 
132  using Acts::PhysicalConstants::c;
133  // we really want c to be 1
134  BOOST_CHECK(c == 1.0);
135 }
136 
137 BOOST_AUTO_TEST_SUITE_END()