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
|
/*
* (C) Copyright 1996- ECMWF.
*
* This software is licensed under the terms of the Apache Licence Version 2.0
* which can be obtained at http://www.apache.org/licenses/LICENSE-2.0.
*
* In applying this licence, ECMWF does not waive the privileges and immunities
* granted to it by virtue of its status as an intergovernmental organisation nor
* does it submit to any jurisdiction.
*/
#include <algorithm>
#include <iostream>
#include <utility>
#include <vector>
#include "eckit/geo/util.h"
#include "eckit/testing/Test.h"
#include "eckit/types/FloatCompare.h"
template <typename T>
bool is_approximately_equal_vector(const std::vector<T>& a, const std::vector<T>& b, double eps = 0.) {
return a.size() == b.size() && std::equal(a.begin(), a.end(), b.begin(), [=](const T& a, const T& b) {
return ::eckit::types::is_approximately_equal<double>(a, b, eps);
});
}
template <typename T>
std::ostream& operator<<(std::ostream& out, const std::vector<T>& v) {
const auto* sep = "";
for (const auto& value : v) {
out << sep << value;
sep = ", ";
}
return out;
}
namespace eckit::geo::test {
constexpr double EPS = 1e-9;
CASE("eckit::geo::util::linspace") {
EXPECT(is_approximately_equal_vector(util::linspace(1, 2, 1), std::vector<double>{1.}, EPS));
EXPECT(is_approximately_equal_vector(util::linspace(1, 1, 2), std::vector<double>{1.}, EPS));
EXPECT(is_approximately_equal_vector(util::linspace(1, 2, 2), std::vector<double>{1., 2.}, EPS));
}
CASE("eckit::geo::util::arange") {
EXPECT(is_approximately_equal_vector(util::arange(1, 2, 0.5), std::vector<double>{1, 1.5, 2}, EPS));
}
CASE("eckit::geo::util::gaussian_latitudes") {
std::vector<double> lats_decreasing{
88.9277, 87.5387, 86.1415, 84.7424, 83.3426, 81.9425, 80.5421, 79.1417, 77.7412, 76.3406, 74.94,
73.5394, 72.1387, 70.7381, 69.3374, 67.9367, 66.536, 65.1353, 63.7345, 62.3338, 60.9331, 59.5323,
58.1316, 56.7309, 55.3301, 53.9294, 52.5286, 51.1279, 49.7271, 48.3264, 46.9256, 45.5249, 44.1241,
42.7233, 41.3226, 39.9218, 38.5211, 37.1203, 35.7195, 34.3188, 32.918, 31.5172, 30.1165, 28.7157,
27.315, 25.9142, 24.5134, 23.1127, 21.7119, 20.3111, 18.9104, 17.5096, 16.1088, 14.7081, 13.3073,
11.9065, 10.5058, 9.10499, 7.70422, 6.30345, 4.90269, 3.50192, 2.10115, 0.700384, -0.700384, -2.10115,
-3.50192, -4.90269, -6.30345, -7.70422, -9.10499, -10.5058, -11.9065, -13.3073, -14.7081, -16.1088, -17.5096,
-18.9104, -20.3111, -21.7119, -23.1127, -24.5134, -25.9142, -27.315, -28.7157, -30.1165, -31.5172, -32.918,
-34.3188, -35.7195, -37.1203, -38.5211, -39.9218, -41.3226, -42.7233, -44.1241, -45.5249, -46.9256, -48.3264,
-49.7271, -51.1279, -52.5286, -53.9294, -55.3301, -56.7309, -58.1316, -59.5323, -60.9331, -62.3338, -63.7345,
-65.1353, -66.536, -67.9367, -69.3374, -70.7381, -72.1387, -73.5394, -74.94, -76.3406, -77.7412, -79.1417,
-80.5421, -81.9425, -83.3426, -84.7424, -86.1415, -87.5387, -88.9277};
std::vector<double> lats_increasing(lats_decreasing);
std::reverse(lats_increasing.begin(), lats_increasing.end());
EXPECT(is_approximately_equal_vector(util::gaussian_latitudes(64, false), lats_decreasing, 1e-4));
EXPECT(is_approximately_equal_vector(util::gaussian_latitudes(64, true), lats_increasing, 1e-4));
}
CASE("eckit::geo::util::gaussian_quadrature_weights") {
std::vector<double> weights{
0.000225, 0.000523, 0.000821, 0.001119, 0.001416, 0.001713, 0.002008, 0.002302, 0.002595, 0.002886, 0.003176,
0.003463, 0.003749, 0.004032, 0.004313, 0.004592, 0.004867, 0.005140, 0.005409, 0.005676, 0.005939, 0.006198,
0.006454, 0.006706, 0.006953, 0.007197, 0.007437, 0.007672, 0.007902, 0.008128, 0.008348, 0.008564, 0.008775,
0.008980, 0.009180, 0.009375, 0.009564, 0.009747, 0.009924, 0.010096, 0.010261, 0.010421, 0.010574, 0.010721,
0.010861, 0.010995, 0.011122, 0.011243, 0.011357, 0.011464, 0.011564, 0.011658, 0.011744, 0.011823, 0.011896,
0.011961, 0.012019, 0.012070, 0.012114, 0.012150, 0.012179, 0.012201, 0.012216, 0.012223, 0.012223, 0.012216,
0.012201, 0.012179, 0.012150, 0.012114, 0.012070, 0.012019, 0.011961, 0.011896, 0.011823, 0.011744, 0.011658,
0.011564, 0.011464, 0.011357, 0.011243, 0.011122, 0.010995, 0.010861, 0.010721, 0.010574, 0.010421, 0.010261,
0.010096, 0.009924, 0.009747, 0.009564, 0.009375, 0.009180, 0.008980, 0.008775, 0.008564, 0.008348, 0.008128,
0.007902, 0.007672, 0.007437, 0.007197, 0.006953, 0.006706, 0.006454, 0.006198, 0.005939, 0.005676, 0.005409,
0.005140, 0.004867, 0.004592, 0.004313, 0.004032, 0.003749, 0.003463, 0.003176, 0.002886, 0.002595, 0.002302,
0.002008, 0.001713, 0.001416, 0.001119, 0.000821, 0.000523, 0.000225};
EXPECT(is_approximately_equal_vector(util::gaussian_quadrature_weights(64), weights, 1e-4));
}
CASE("eckit::geo::util::reduced_classical_pl") {
const pl_type pl{20, 27, 32, 40, 45, 48, 60, 60, 64, 64, 64, 64, 64, 64, 64, 64,
64, 64, 64, 64, 64, 64, 64, 64, 60, 60, 48, 45, 40, 32, 27, 20};
EXPECT(is_approximately_equal_vector(util::reduced_classical_pl(16), pl));
EXPECT(is_approximately_equal_vector(util::reduced_classical_pl(16), pl));
}
CASE("eckit::geo::util::reduced_octahedral_pl") {
const pl_type pl{20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80,
80, 76, 72, 68, 64, 60, 56, 52, 48, 44, 40, 36, 32, 28, 24, 20};
EXPECT(is_approximately_equal_vector(util::reduced_octahedral_pl(16), pl));
EXPECT(is_approximately_equal_vector(util::reduced_octahedral_pl(16), pl));
}
CASE("eckit::geo::util::monotonic_crop") {
struct test {
double min;
double max;
std::pair<difference_type, difference_type> expected;
std::vector<double> values;
std::vector<double> cropped;
} tests[]{
{1., 1., {0, 1}, {1.}, {1.}},
{1., 2., {0, 3}, {1., 1., 1.}, {1., 1., 1.}},
{2., 3., {1, 3}, {1., 2., 3., 4., 5., 6.}, {2., 3.}},
{2., 3., {3, 5}, {6., 5., 4., 3., 2., 1.}, {3., 2.}},
};
for (const auto& test : tests) {
auto [from, to] = util::monotonic_crop(test.values, test.min, test.max);
EXPECT(from == test.expected.first);
EXPECT(to == test.expected.second);
EXPECT(is_approximately_equal_vector(std::vector<double>(test.values.begin() + from, test.values.begin() + to),
test.cropped));
}
}
} // namespace eckit::geo::test
int main(int argc, char** argv) {
return eckit::testing::run_tests(argc, argv);
}
|
