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InterpolationTests.cpp
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1 // This file is part of the Acts project.
2 //
3 // Copyright (C) 2017-2018 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/Algebra.hpp"
12 #include "Acts/Tests/CommonHelpers/FloatComparisons.hpp"
13 #include "Acts/Utilities/Interpolation.hpp"
14 #include "Acts/Utilities/TypeTraits.hpp"
15 
16 #include <array>
17 #include <vector>
18 
19 namespace Acts {
20 
21 using namespace detail;
22 
23 namespace Test {
24 
25 BOOST_AUTO_TEST_CASE(interpolation_1d) {
26  using Point = std::array<double, 1u>;
27  using Values = std::array<double, 2u>;
28 
29  Point low = {{1.}};
30  Point high = {{2.}};
31  Values v = {{10., 20.}};
32 
33  CHECK_CLOSE_REL(interpolate(Point({{0.5}}), low, high, v), 5., 1e-6);
34  CHECK_CLOSE_REL(interpolate(Point({{1.}}), low, high, v), 10., 1e-6);
35  CHECK_CLOSE_REL(interpolate(Point({{1.3}}), low, high, v), 13., 1e-6);
36  CHECK_CLOSE_REL(interpolate(Point({{1.5}}), low, high, v), 15., 1e-6);
37  CHECK_CLOSE_REL(interpolate(Point({{1.8}}), low, high, v), 18., 1e-6);
38  CHECK_CLOSE_REL(interpolate(Point({{2.}}), low, high, v), 20., 1e-6);
39  CHECK_CLOSE_REL(interpolate(Point({{2.3}}), low, high, v), 23., 1e-6);
40 }
41 
42 BOOST_AUTO_TEST_CASE(interpolation_2d) {
43  using Point = std::array<double, 2u>;
44  using Values = std::array<double, 4u>;
45 
46  Point low = {{1., 1.}};
47  Point high = {{2., 3.}};
48  Values v = {{10., 30., 20., 40.}};
49 
50  CHECK_CLOSE_REL(interpolate(Point({{1., 1.}}), low, high, v), 10., 1e-6);
51  CHECK_CLOSE_REL(interpolate(Point({{2., 1.}}), low, high, v), 20., 1e-6);
52  CHECK_CLOSE_REL(interpolate(Point({{1., 3.}}), low, high, v), 30., 1e-6);
53  CHECK_CLOSE_REL(interpolate(Point({{2., 3.}}), low, high, v), 40., 1e-6);
54  CHECK_CLOSE_REL(interpolate(Point({{1.3, 1.}}), low, high, v), 13., 1e-6);
55  CHECK_CLOSE_REL(interpolate(Point({{1.5, 1.}}), low, high, v), 15., 1e-6);
56  CHECK_CLOSE_REL(interpolate(Point({{1.8, 1.}}), low, high, v), 18., 1e-6);
57  CHECK_CLOSE_REL(interpolate(Point({{1.3, 3.}}), low, high, v), 33., 1e-6);
58  CHECK_CLOSE_REL(interpolate(Point({{1.5, 3.}}), low, high, v), 35., 1e-6);
59  CHECK_CLOSE_REL(interpolate(Point({{1.8, 3.}}), low, high, v), 38., 1e-6);
60  CHECK_CLOSE_REL(interpolate(Point({{1., 1.7}}), low, high, v), 17., 1e-6);
61  CHECK_CLOSE_REL(interpolate(Point({{1., 2.}}), low, high, v), 20., 1e-6);
62  CHECK_CLOSE_REL(interpolate(Point({{1., 2.5}}), low, high, v), 25., 1e-6);
63  CHECK_CLOSE_REL(interpolate(Point({{2., 1.7}}), low, high, v), 27., 1e-6);
64  CHECK_CLOSE_REL(interpolate(Point({{2., 2.}}), low, high, v), 30., 1e-6);
65  CHECK_CLOSE_REL(interpolate(Point({{2., 2.5}}), low, high, v), 35., 1e-6);
66  CHECK_CLOSE_REL(interpolate(Point({{1.5, 2.}}), low, high, v), 25., 1e-6);
67  CHECK_CLOSE_REL(interpolate(Point({{1.3, 1.7}}), low, high, v), 20., 1e-6);
68  CHECK_CLOSE_REL(interpolate(Point({{1.3, 2.5}}), low, high, v), 28., 1e-6);
69  CHECK_CLOSE_REL(interpolate(Point({{1.8, 1.7}}), low, high, v), 25., 1e-6);
70  CHECK_CLOSE_REL(interpolate(Point({{1.8, 2.5}}), low, high, v), 33., 1e-6);
71 }
72 
73 BOOST_AUTO_TEST_CASE(interpolation_3d) {
74  using Point = std::array<double, 3u>;
75  using Values = std::array<double, 8u>;
76 
77  Point low = {{1., 1., 1.}};
78  Point high = {{2., 3., 4.}};
79  Values v = {{10., 50., 30., 70., 20., 60., 40., 80.}};
80 
81  CHECK_CLOSE_REL(interpolate(Point({{1., 1., 1.}}), low, high, v), 10., 1e-6);
82  CHECK_CLOSE_REL(interpolate(Point({{2., 1., 1.}}), low, high, v), 20., 1e-6);
83  CHECK_CLOSE_REL(interpolate(Point({{1., 3., 1.}}), low, high, v), 30., 1e-6);
84  CHECK_CLOSE_REL(interpolate(Point({{2., 3., 1.}}), low, high, v), 40., 1e-6);
85  CHECK_CLOSE_REL(interpolate(Point({{1., 1., 4.}}), low, high, v), 50., 1e-6);
86  CHECK_CLOSE_REL(interpolate(Point({{2., 1., 4.}}), low, high, v), 60., 1e-6);
87  CHECK_CLOSE_REL(interpolate(Point({{1., 3., 4.}}), low, high, v), 70., 1e-6);
88  CHECK_CLOSE_REL(interpolate(Point({{2., 3., 4.}}), low, high, v), 80., 1e-6);
89  CHECK_CLOSE_REL(interpolate(Point({{1.5, 1., 1.}}), low, high, v), 15., 1e-6);
90  CHECK_CLOSE_REL(interpolate(Point({{1.5, 3., 1.}}), low, high, v), 35., 1e-6);
91  CHECK_CLOSE_REL(interpolate(Point({{1., 2., 1.}}), low, high, v), 20., 1e-6);
92  CHECK_CLOSE_REL(interpolate(Point({{2., 2., 1.}}), low, high, v), 30., 1e-6);
93  CHECK_CLOSE_REL(interpolate(Point({{1.5, 1., 4.}}), low, high, v), 55., 1e-6);
94  CHECK_CLOSE_REL(interpolate(Point({{1.5, 3., 4.}}), low, high, v), 75., 1e-6);
95  CHECK_CLOSE_REL(interpolate(Point({{1., 2., 4.}}), low, high, v), 60., 1e-6);
96  CHECK_CLOSE_REL(interpolate(Point({{2., 2., 4.}}), low, high, v), 70., 1e-6);
97  CHECK_CLOSE_REL(interpolate(Point({{1., 1., 2.5}}), low, high, v), 30., 1e-6);
98  CHECK_CLOSE_REL(interpolate(Point({{1., 3., 2.5}}), low, high, v), 50., 1e-6);
99  CHECK_CLOSE_REL(interpolate(Point({{2., 1., 2.5}}), low, high, v), 40., 1e-6);
100  CHECK_CLOSE_REL(interpolate(Point({{2., 3., 2.5}}), low, high, v), 60., 1e-6);
101  CHECK_CLOSE_REL(interpolate(Point({{1.5, 2., 2.5}}), low, high, v), 360. / 8,
102  1e-6);
103  CHECK_CLOSE_REL(interpolate(Point({{1.3, 2.1, 1.6}}), low, high, v), 32.,
104  1e-6);
105 }
106 
107 BOOST_AUTO_TEST_CASE(interpolation_mixed_point_values) {
108  using Point1 = ActsVector<1>;
109  using Point2 = std::array<double, 1u>;
110  using Point3 = std::vector<double>;
111  using Values = std::array<double, 2u>;
112 
113  Point2 low = {{1.}};
114  Point3 high = {2.};
115  Values v = {{10., 20.}};
116 
117  Point1 p;
118  CHECK_CLOSE_REL(interpolate((p << 0.5).finished(), low, high, v), 5., 1e-6);
119  CHECK_CLOSE_REL(interpolate((p << 1.).finished(), low, high, v), 10., 1e-6);
120  CHECK_CLOSE_REL(interpolate((p << 1.3).finished(), low, high, v), 13., 1e-6);
121  CHECK_CLOSE_REL(interpolate((p << 1.5).finished(), low, high, v), 15., 1e-6);
122  CHECK_CLOSE_REL(interpolate((p << 1.8).finished(), low, high, v), 18., 1e-6);
123  CHECK_CLOSE_REL(interpolate((p << 2.).finished(), low, high, v), 20., 1e-6);
124  CHECK_CLOSE_REL(interpolate((p << 2.3).finished(), low, high, v), 23., 1e-6);
125 }
126 } // namespace Test
127 
128 } // namespace Acts