| 1 |  |  | # -*- coding: utf-8 -*- | 
            
                                                                                                            
                            
            
                                    
            
            
                | 2 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 3 |  |  | from __future__ import division, absolute_import, unicode_literals | 
            
                                                                                                            
                            
            
                                    
            
            
                | 4 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 5 |  |  | import datetime as dt | 
            
                                                                                                            
                            
            
                                    
            
            
                | 6 |  |  | import itertools | 
            
                                                                                                            
                            
            
                                    
            
            
                | 7 |  |  | import numpy as np | 
            
                                                                                                            
                            
            
                                    
            
            
                | 8 |  |  | from numpy.testing import assert_allclose | 
            
                                                                                                            
                            
            
                                    
            
            
                | 9 |  |  | import os | 
            
                                                                                                            
                            
            
                                    
            
            
                | 10 |  |  | import pytest | 
            
                                                                                                            
                            
            
                                    
            
            
                | 11 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 12 |  |  | from apexpy import fortranapex as fa | 
            
                                                                                                            
                            
            
                                    
            
            
                | 13 |  |  | from apexpy import Apex, ApexHeightError, helpers | 
            
                                                                                                            
                            
            
                                    
            
            
                | 14 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 15 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 16 |  |  | # ---------------------------------------------------------------------------- | 
            
                                                                                                            
                            
            
                                    
            
            
                | 17 |  |  | # NOTE: whenever function outputs are tested against hard-coded numbers, the | 
            
                                                                                                            
                            
            
                                    
            
            
                | 18 |  |  | # test results (numbers) were obtained by running the code that is tested. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 19 |  |  | # Therefore these tests below only check that nothing changes when refactoring, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 20 |  |  | # etc., and not if the results are actually correct. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 21 |  |  | # ----------------------------------------------------------------------------- | 
            
                                                                                                            
                            
            
                                    
            
            
                | 22 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 23 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 24 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 25 |  |  | #  Test initiating the Apex class | 
            
                                                                                                            
                            
            
                                    
            
            
                | 26 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 27 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 28 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 29 |  |  | def test_init_defaults(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 30 |  |  |     Apex() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 31 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 32 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 33 |  |  | def test_init_date_int(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 34 |  |  |     apex_out = Apex(date=2015) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 35 |  |  |     assert apex_out.year == 2015 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 36 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 37 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 38 |  |  | def test_init_date_float(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 39 |  |  |     apex_out = Apex(date=2015.5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 40 |  |  |     assert apex_out.year == 2015.5 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 41 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 42 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 43 |  |  | def test_init_date(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 44 |  |  |     date = dt.date(2015, 1, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 45 |  |  |     apex_out = Apex(date=date) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 46 |  |  |     assert apex_out.year == helpers.toYearFraction(date) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 47 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 48 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 49 |  |  | def test_init_datetime(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 50 |  |  |     datetime = dt.datetime(2015, 6, 1, 18, 23, 45) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 51 |  |  |     apex_out = Apex(date=datetime) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 52 |  |  |     assert apex_out.year == helpers.toYearFraction(datetime) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 53 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 54 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 55 |  |  | def test_init_datafile_IOError(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 56 |  |  |     with pytest.raises(IOError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 57 |  |  |         Apex(date=2015, datafile='foo/path/to/datafile.blah') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 58 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 59 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 60 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 61 |  |  | #  Test the low-level interfaces to the fortran wrappers | 
            
                                                                                                            
                            
            
                                    
            
            
                | 62 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 63 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 64 |  |  | def test__geo2qd_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 65 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 66 |  |  |     for lat in [0, 30, 60, 89]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 67 |  |  |         for lon in [-179, -90, 0, 90, 180]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 68 |  |  |             assert_allclose(apex_out._geo2qd(lat, lon, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 69 |  |  |                             fa.apxg2q(lat, lon, 100, 0)[:2]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 70 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 71 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 72 |  |  | def test__geo2qd_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 73 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 74 |  |  |     lats, lons = apex_out._geo2qd([[0, 30], [60, 90]], 15, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 75 |  |  |                                   [[100, 200], [300, 400]]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 76 |  |  |     lat1, lon1 = fa.apxg2q(0, 15, 100, 0)[:2] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 77 |  |  |     lat2, lon2 = fa.apxg2q(30, 15, 200, 0)[:2] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 78 |  |  |     lat3, lon3 = fa.apxg2q(60, 15, 300, 0)[:2] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 79 |  |  |     lat4, lon4 = fa.apxg2q(90, 15, 400, 0)[:2] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 80 |  |  |     assert_allclose(lats.astype(float), np.array([[lat1, lat2], [lat3, lat4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 81 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 82 |  |  |     assert_allclose(lons.astype(float), np.array([[lon1, lon2], [lon3, lon4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 83 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 84 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 85 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 86 |  |  | def test__geo2qd_longitude(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 87 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 88 |  |  |     assert_allclose(apex_out._geo2qd(60, 180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 89 |  |  |                     fa.apxg2q(60, 180, 100, 0)[:2]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 90 |  |  |     assert_allclose(apex_out._geo2qd(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 91 |  |  |                     fa.apxg2q(60, -180, 100, 0)[:2]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 92 |  |  |     assert_allclose(apex_out._geo2qd(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 93 |  |  |                     apex_out._geo2qd(60, 180, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 94 |  |  |     for i in range(-5, 5): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 95 |  |  |         for lat in [0, 30, 60, 90]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 96 |  |  |             assert_allclose(apex_out._geo2qd(lat, 15 + i * 360, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 97 |  |  |                             fa.apxg2q(lat, 15, 100, 0)[:2]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 98 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 99 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 100 |  |  | def test__geo2apex_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 101 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 102 |  |  |     for lat in [0, 30, 60, 89]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 103 |  |  |         for lon in [-179, -90, 0, 90, 180]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 104 |  |  |             assert_allclose(apex_out._geo2apex(lat, lon, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 105 |  |  |                             fa.apxg2all(lat, lon, 100, 300, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 106 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 107 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 108 |  |  | def test__geo2apex_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 109 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 110 |  |  |     lats, lons = apex_out._geo2apex([[0, 30], [60, 90]], 15, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 111 |  |  |                                     [[100, 200], [300, 400]]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 112 |  |  |     lat1, lon1 = fa.apxg2all(0, 15, 100, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 113 |  |  |     lat2, lon2 = fa.apxg2all(30, 15, 200, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 114 |  |  |     lat3, lon3 = fa.apxg2all(60, 15, 300, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 115 |  |  |     lat4, lon4 = fa.apxg2all(90, 15, 400, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 116 |  |  |     assert_allclose(lats.astype(float), np.array([[lat1, lat2], [lat3, lat4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 117 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 118 |  |  |     assert_allclose(lons.astype(float), np.array([[lon1, lon2], [lon3, lon4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 119 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 120 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 121 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 122 |  |  | def test__geo2apex_longitude(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 123 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 124 |  |  |     assert_allclose(apex_out._geo2apex(60, 180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 125 |  |  |                     fa.apxg2all(60, 180, 100, 300, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 126 |  |  |     assert_allclose(apex_out._geo2apex(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 127 |  |  |                     fa.apxg2all(60, -180, 100, 300, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 128 |  |  |     assert_allclose(apex_out._geo2apex(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 129 |  |  |                     apex_out._geo2apex(60, 180, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 130 |  |  |     for i in range(-5, 5): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 131 |  |  |         for lat in [0, 30, 60, 90]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 132 |  |  |             assert_allclose(apex_out._geo2apex(lat, 15 + i * 360, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 133 |  |  |                             fa.apxg2all(lat, 15, 100, 300, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 134 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 135 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 136 |  |  | def test__geo2apexall_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 137 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 138 |  |  |     for lat in [0, 30, 60, 89]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 139 |  |  |         for lon in [-179, -90, 0, 90, 180]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 140 |  |  |             ret1 = apex_out._geo2apexall(lat, lon, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 141 |  |  |             ret2 = fa.apxg2all(lat, lon, 100, 300, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 142 |  |  |             for r1, r2 in zip(ret1, ret2): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 143 |  |  |                 assert_allclose(r1, r2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 144 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 145 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 146 |  |  | def test__geo2apexall_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 147 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 148 |  |  |     ret = apex_out._geo2apexall([[0, 30], [60, 90]], 15, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 149 |  |  |                                 [[100, 200], [300, 400]]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 150 |  |  |     ret1 = fa.apxg2all(0, 15, 100, 300, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 151 |  |  |     ret2 = fa.apxg2all(30, 15, 200, 300, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 152 |  |  |     ret3 = fa.apxg2all(60, 15, 300, 300, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 153 |  |  |     ret4 = fa.apxg2all(90, 15, 400, 300, 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 154 |  |  |     for i in range(len(ret)): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 155 |  |  |         try: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 156 |  |  |             # ret[i] is array of floats | 
            
                                                                                                            
                            
            
                                    
            
            
                | 157 |  |  |             assert_allclose(ret[i].astype(float), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 158 |  |  |                             np.array([[ret1[i], ret2[i]], [ret3[i], ret4[i]]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 159 |  |  |                                      dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 160 |  |  |         except ValueError: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 161 |  |  |             # ret[i] is array of arrays | 
            
                                                                                                            
                            
            
                                    
            
            
                | 162 |  |  |             assert_allclose(ret[i][0, 0], ret1[i]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 163 |  |  |             assert_allclose(ret[i][0, 1], ret2[i]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 164 |  |  |             assert_allclose(ret[i][1, 0], ret3[i]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 165 |  |  |             assert_allclose(ret[i][1, 1], ret4[i]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 166 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 167 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 168 |  |  | def test__qd2geo_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 169 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 170 |  |  |     for lat in [0, 30, 60, 89]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 171 |  |  |         for lon in [-179, -90, 0, 90, 180]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 172 |  |  |             for prec in [-1, 1e-2, 1e-10]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 173 |  |  |                 assert_allclose(apex_out._qd2geo(lat, lon, 100, prec), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 174 |  |  |                                 fa.apxq2g(lat, lon, 100, prec)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 175 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 176 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 177 |  |  | def test__qd2geo_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 178 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 179 |  |  |     lats, lons, errs = apex_out._qd2geo([[0, 30], [60, 90]], 15, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 180 |  |  |                                         [[100, 200], [300, 400]], 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 181 |  |  |     lat1, lon1, err1 = fa.apxq2g(0, 15, 100, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 182 |  |  |     lat2, lon2, err2 = fa.apxq2g(30, 15, 200, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 183 |  |  |     lat3, lon3, err3 = fa.apxq2g(60, 15, 300, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 184 |  |  |     lat4, lon4, err4 = fa.apxq2g(90, 15, 400, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 185 |  |  |     assert_allclose(lats.astype(float), np.array([[lat1, lat2], [lat3, lat4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 186 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 187 |  |  |     assert_allclose(lons.astype(float), np.array([[lon1, lon2], [lon3, lon4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 188 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 189 |  |  |     assert_allclose(errs.astype(float), np.array([[err1, err2], [err3, err4]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 190 |  |  |                                                  dtype=float)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 191 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 192 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 193 |  |  | def test__qd2geo_longitude(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 194 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 195 |  |  |     assert_allclose(apex_out._qd2geo(60, 180, 100, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 196 |  |  |                     fa.apxq2g(60, 180, 100, 1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 197 |  |  |     assert_allclose(apex_out._qd2geo(60, -180, 100, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 198 |  |  |                     fa.apxq2g(60, -180, 100, 1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 199 |  |  |     assert_allclose(apex_out._qd2geo(60, -180, 100, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 200 |  |  |                     apex_out._qd2geo(60, 180, 100, 1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 201 |  |  |     for i in range(-5, 5): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 202 |  |  |         for lat in [0, 30, 60, 90]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 203 |  |  |             assert_allclose(apex_out._qd2geo(lat, 15 + i * 360, 100, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 204 |  |  |                             fa.apxq2g(lat, 15, 100, 1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 205 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 206 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 207 |  |  | def test__basevec_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 208 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 209 |  |  |     for lat in [0, 30, 60, 89]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 210 |  |  |         for lon in [-179, -90, 0, 90, 180]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 211 |  |  |             assert_allclose(apex_out._basevec(lat, lon, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 212 |  |  |                             fa.apxg2q(lat, lon, 100, 1)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 213 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 214 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 215 |  |  | def test__basevec_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 216 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 217 |  |  |     f1s, f2s = apex_out._basevec([[0, 30], [60, 90]], 15, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 218 |  |  |                                  [[100, 200], [300, 400]]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 219 |  |  |     f11, f21 = fa.apxg2q(0, 15, 100, 1)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 220 |  |  |     f12, f22 = fa.apxg2q(30, 15, 200, 1)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 221 |  |  |     f13, f23 = fa.apxg2q(60, 15, 300, 1)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 222 |  |  |     f14, f24 = fa.apxg2q(90, 15, 400, 1)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 223 |  |  |     assert_allclose(f1s[0, 0], f11) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 224 |  |  |     assert_allclose(f1s[0, 1], f12) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 225 |  |  |     assert_allclose(f1s[1, 0], f13) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 226 |  |  |     assert_allclose(f1s[1, 1], f14) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 227 |  |  |     assert_allclose(f2s[0, 0], f21) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 228 |  |  |     assert_allclose(f2s[0, 1], f22) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 229 |  |  |     assert_allclose(f2s[1, 0], f23) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 230 |  |  |     assert_allclose(f2s[1, 1], f24) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 231 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 232 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 233 |  |  | def test__basevec_longitude(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 234 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 235 |  |  |     assert_allclose(apex_out._basevec(60, 180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 236 |  |  |                     fa.apxg2q(60, 180, 100, 1)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 237 |  |  |     assert_allclose(apex_out._basevec(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 238 |  |  |                     fa.apxg2q(60, -180, 100, 1)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 239 |  |  |     assert_allclose(apex_out._basevec(60, -180, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 240 |  |  |                     apex_out._basevec(60, 180, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 241 |  |  |     for i in range(-5, 5): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 242 |  |  |         for lat in [0, 30, 60, 90]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 243 |  |  |             assert_allclose(apex_out._basevec(lat, 15 + i * 360, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 244 |  |  |                             fa.apxg2q(lat, 15, 100, 1)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 245 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 246 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 247 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 248 |  |  | #  Test the convert() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 249 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 250 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 251 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 252 |  |  | def test_convert_geo2apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 253 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 254 |  |  |     assert_allclose(apex_out.convert(60, 15, 'geo', 'apex', height=100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 255 |  |  |                     apex_out.geo2apex(60, 15, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 256 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 257 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 258 |  |  | def test_convert_geo2qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 259 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 260 |  |  |     assert_allclose(apex_out.convert(60, 15, 'geo', 'qd', height=100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 261 |  |  |                     apex_out.geo2qd(60, 15, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 262 |  |  |  | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 263 |  |  |  | 
            
                                                                        
                            
            
                                    
            
            
                | 264 |  |  | def test_convert_geo2mlt_nodate(): | 
            
                                                                        
                            
            
                                    
            
            
                | 265 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                        
                            
            
                                    
            
            
                | 266 |  |  |     with pytest.raises(ValueError): | 
            
                                                                        
                            
            
                                    
            
            
                | 267 |  |  |         apex_out.convert(60, 15, 'geo', 'mlt') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 268 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 269 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 270 |  |  | def test_convert_geo2mlt(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 271 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 272 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 273 |  |  |     assert_allclose(apex_out.convert(60, 15, 'geo', 'mlt', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 274 |  |  |                                      ssheight=2e5, datetime=datetime)[1], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 275 |  |  |                     apex_out.mlon2mlt(apex_out.geo2apex(60, 15, 100)[1], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 276 |  |  |                                       datetime, ssheight=2e5)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 277 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 278 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 279 |  |  | def test_convert_apex2geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 280 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 281 |  |  |     assert_allclose(apex_out.convert(60, 15, 'apex', 'geo', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 282 |  |  |                                      precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 283 |  |  |                     apex_out.apex2geo(60, 15, 100, precision=1e-2)[:-1]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 284 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 285 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 286 |  |  | def test_convert_apex2qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 287 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 288 |  |  |     assert_allclose(apex_out.convert(60, 15, 'apex', 'qd', height=100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 289 |  |  |                     apex_out.apex2qd(60, 15, height=100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 290 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 291 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 292 |  |  | def test_convert_apex2mlt(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 293 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 294 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 295 |  |  |     assert_allclose(apex_out.convert(60, 15, 'apex', 'mlt', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 296 |  |  |                                      datetime=datetime, ssheight=2e5)[1], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 297 |  |  |                     apex_out.mlon2mlt(15, datetime, ssheight=2e5)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 298 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 299 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 300 |  |  | def test_convert_qd2geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 301 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 302 |  |  |     assert_allclose(apex_out.convert(60, 15, 'qd', 'geo', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 303 |  |  |                                      precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 304 |  |  |                     apex_out.qd2geo(60, 15, 100, precision=1e-2)[:-1]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 305 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 306 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 307 |  |  | def test_convert_qd2apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 308 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 309 |  |  |     assert_allclose(apex_out.convert(60, 15, 'qd', 'apex', height=100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 310 |  |  |                     apex_out.qd2apex(60, 15, height=100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 311 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 312 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 313 |  |  | def test_convert_qd2apex_at_equator(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 314 |  |  |     """Test the quasi-dipole to apex conversion at the magnetic equator.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 315 |  |  |     apex_out = Apex(date=2000, refh=80) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 316 |  |  |     elat, elon = apex_out.convert(lat=0.0, lon=0, source='qd', dest='apex', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 317 |  |  |                                   height=120.0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 318 |  |  |     clat, clon = apex_out.convert(lat=0.001, lon=0, source='qd', dest='apex', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 319 |  |  |                                   height=120.0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 320 |  |  |     assert_allclose([elat, elon], [clat, clon], atol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 321 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 322 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 323 |  |  | def test_convert_qd2mlt(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 324 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 325 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 326 |  |  |     assert_allclose(apex_out.convert(60, 15, 'qd', 'mlt', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 327 |  |  |                                      datetime=datetime, ssheight=2e5)[1], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 328 |  |  |                     apex_out.mlon2mlt(15, datetime, ssheight=2e5)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 329 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 330 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 331 |  |  | def test_convert_mlt2geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 332 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 333 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 334 |  |  |     assert_allclose(apex_out.convert(60, 15, 'mlt', 'geo', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 335 |  |  |                                      datetime=datetime, precision=1e-2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 336 |  |  |                                      ssheight=2e5), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 337 |  |  |                     apex_out.apex2geo(60, apex_out.mlt2mlon(15, datetime, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 338 |  |  |                                                             ssheight=2e5), 100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 339 |  |  |                                       precision=1e-2)[:-1]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 340 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 341 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 342 |  |  | def test_convert_mlt2apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 343 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 344 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 345 |  |  |     assert_allclose(apex_out.convert(60, 15, 'mlt', 'apex', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 346 |  |  |                                      datetime=datetime, ssheight=2e5), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 347 |  |  |                     (60, apex_out.mlt2mlon(15, datetime, ssheight=2e5))) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 348 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 349 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 350 |  |  | def test_convert_mlt2qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 351 |  |  |     datetime = dt.datetime(2000, 3, 9, 14, 25, 58) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 352 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 353 |  |  |     assert_allclose(apex_out.convert(60, 15, 'mlt', 'qd', height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 354 |  |  |                                      datetime=datetime, ssheight=2e5), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 355 |  |  |                     apex_out.apex2qd(60, apex_out.mlt2mlon(15, datetime, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 356 |  |  |                                                            ssheight=2e5), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 357 |  |  |                                      height=100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 358 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 359 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 360 |  |  | def test_convert_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 361 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 362 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 363 |  |  |         apex_out.convert(91, 0, 'geo', 'geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 364 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 365 |  |  |         apex_out.convert(-91, 0, 'geo', 'geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 366 |  |  |     apex_out.convert(90, 0, 'geo', 'geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 367 |  |  |     apex_out.convert(-90, 0, 'geo', 'geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 368 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 369 |  |  |     assert_allclose(apex_out.convert(90 + 1e-5, 0, 'geo', 'apex'), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 370 |  |  |                     apex_out.convert(90, 0, 'geo', 'apex'), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 371 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 372 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 373 |  |  | def test_convert_invalid_transformation(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 374 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 375 |  |  |     with pytest.raises(NotImplementedError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 376 |  |  |         apex_out.convert(0, 0, 'foobar', 'geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 377 |  |  |     with pytest.raises(NotImplementedError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 378 |  |  |         apex_out.convert(0, 0, 'geo', 'foobar') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 379 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 380 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 381 |  |  | coord_names = ['geo', 'apex', 'qd'] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 382 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 383 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 384 |  |  | @pytest.mark.parametrize('transform', itertools.product(coord_names, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 385 |  |  |                                                         coord_names)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 386 |  |  | def test_convert_withnan(transform): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 387 |  |  |     """Test Apex.convert success with NaN input.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 388 |  |  |     num_nans = 5 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 389 |  |  |     in_lat = np.arange(0, 10, dtype=float) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 390 |  |  |     in_lat[:num_nans] = np.nan | 
            
                                                                                                            
                            
            
                                    
            
            
                | 391 |  |  |     in_lon = np.arange(0, 10, dtype=float) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 392 |  |  |     in_lon[:num_nans] = np.nan | 
            
                                                                                                            
                            
            
                                    
            
            
                | 393 |  |  |     src, dest = transform | 
            
                                                                                                            
                            
            
                                    
            
            
                | 394 |  |  |     apex_out = Apex(date=2000, refh=80) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 395 |  |  |     out_lat, out_lon = apex_out.convert(in_lat, in_lon, src, dest, height=120) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 396 |  |  |     assert np.all(np.isnan(out_lat[:num_nans])) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 397 |  |  |     assert np.all(np.isnan(out_lon[:num_nans])) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 398 |  |  |     assert np.all(np.isfinite(out_lat[num_nans:])) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 399 |  |  |     assert np.all(np.isfinite(out_lat[num_nans:])) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 400 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 401 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 402 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 403 |  |  | #  Test the geo2apex() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 404 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 405 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 406 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 407 |  |  | def test_geo2apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 408 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 409 |  |  |     lat, lon = apex_out.geo2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 410 |  |  |     assert_allclose((lat, lon), apex_out._geo2apex(60, 15, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 411 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 412 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 413 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 414 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 415 |  |  | def test_geo2apex_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 416 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 417 |  |  |     assert apex_out.geo2apex([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 418 |  |  |     assert apex_out.geo2apex(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 419 |  |  |     assert apex_out.geo2apex(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 420 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 421 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 422 |  |  | def test_geo2apex_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 423 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 424 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 425 |  |  |         apex_out.geo2apex(91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 426 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 427 |  |  |         apex_out.geo2apex(-91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 428 |  |  |     apex_out.geo2apex(90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 429 |  |  |     apex_out.geo2apex(-90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 430 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 431 |  |  |     assert_allclose(apex_out.geo2apex(90 + 1e-5, 0, 0), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 432 |  |  |                     apex_out.geo2apex(90, 0, 0), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 433 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 434 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 435 |  |  | def test_geo2apex_undefined_warning(recwarn): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 436 |  |  |     """Test warning and fill values for an undefined location.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 437 |  |  |     apex_out = Apex(date=2000, refh=10000) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 438 |  |  |     ret = apex_out.geo2apex(0, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 439 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 440 |  |  |     assert np.isnan(ret[0]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 441 |  |  |     assert len(recwarn) == 1 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 442 |  |  |     assert issubclass(recwarn[-1].category, UserWarning) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 443 |  |  |     assert 'set to NaN where' in str(recwarn[-1].message) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 444 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 445 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 446 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 447 |  |  | #  Test the apex2geo() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 448 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 449 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 450 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 451 |  |  | def test_apex2geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 452 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 453 |  |  |     lat, lon, error = apex_out.apex2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 454 |  |  |     assert_allclose((lat, lon, error), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 455 |  |  |                     apex_out.qd2geo(*apex_out.apex2qd(60, 15, 100), height=100, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 456 |  |  |                                     precision=1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 457 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 458 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 459 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 460 |  |  |     assert type(error) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 461 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 462 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 463 |  |  | def test_apex2geo_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 464 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 465 |  |  |     assert apex_out.apex2geo([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 466 |  |  |     assert apex_out.apex2geo(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 467 |  |  |     assert apex_out.apex2geo(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 468 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 469 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 470 |  |  | def test_apex2geo_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 471 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 472 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 473 |  |  |         apex_out.apex2geo(91, 0, 0, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 474 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 475 |  |  |         apex_out.apex2geo(-91, 0, 0, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 476 |  |  |     apex_out.apex2geo(90, 0, 0, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 477 |  |  |     apex_out.apex2geo(-90, 0, 0, 1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 478 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 479 |  |  |     assert_allclose(apex_out.apex2geo(90 + 1e-5, 0, 0, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 480 |  |  |                     apex_out.apex2geo(90, 0, 0, 1e-2), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 481 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 482 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 483 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 484 |  |  | #  Test the geo2qd() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 485 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 486 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 487 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 488 |  |  | def test_geo2qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 489 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 490 |  |  |     lat, lon = apex_out.geo2qd(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 491 |  |  |     assert_allclose((lat, lon), apex_out._geo2qd(60, 15, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 492 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 493 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 494 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 495 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 496 |  |  | def test_geo2qd_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 497 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 498 |  |  |     assert apex_out.geo2qd([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 499 |  |  |     assert apex_out.geo2qd(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 500 |  |  |     assert apex_out.geo2qd(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 501 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 502 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 503 |  |  | def test_geo2qd_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 504 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 505 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 506 |  |  |         apex_out.geo2qd(91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 507 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 508 |  |  |         apex_out.geo2qd(-91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 509 |  |  |     apex_out.geo2qd(90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 510 |  |  |     apex_out.geo2qd(-90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 511 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 512 |  |  |     assert_allclose(apex_out.geo2qd(90 + 1e-5, 0, 0), apex_out.geo2qd(90, 0, 0), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 513 |  |  |                     rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 514 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 515 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 516 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 517 |  |  | #  Test the qd2geo() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 518 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 519 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 520 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 521 |  |  | def test_qd2geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 522 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 523 |  |  |     lat, lon, error = apex_out.qd2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 524 |  |  |     assert_allclose((lat, lon, error), apex_out._qd2geo(60, 15, 100, 1e-2)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 525 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 526 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 527 |  |  |     assert type(error) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 528 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 529 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 530 |  |  | def test_qd2geo_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 531 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 532 |  |  |     assert apex_out.qd2geo([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 533 |  |  |     assert apex_out.qd2geo(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 534 |  |  |     assert apex_out.qd2geo(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 535 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 536 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 537 |  |  | def test_qd2geo_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 538 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 539 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 540 |  |  |         apex_out.qd2geo(91, 0, 0, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 541 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 542 |  |  |         apex_out.qd2geo(-91, 0, 0, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 543 |  |  |     apex_out.qd2geo(90, 0, 0, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 544 |  |  |     apex_out.qd2geo(-90, 0, 0, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 545 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 546 |  |  |     assert_allclose(apex_out.qd2geo(90 + 1e-5, 0, 0, 1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 547 |  |  |                     apex_out.qd2geo(90, 0, 0, 1e-2), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 548 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 549 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 550 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 551 |  |  | #  Test the apex2qd() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 552 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 553 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 554 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 555 |  |  | def test_apex2qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 556 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 557 |  |  |     lat, lon = apex_out.apex2qd(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 558 |  |  |     assert_allclose((lat, lon), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 559 |  |  |                     [60.498401, 15]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 560 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 561 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 562 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 563 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 564 |  |  | def test_apex2qd_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 565 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 566 |  |  |     assert apex_out.apex2qd([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 567 |  |  |     assert apex_out.apex2qd(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 568 |  |  |     assert apex_out.apex2qd(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 569 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 570 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 571 |  |  | def test_apex2qd_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 572 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 573 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 574 |  |  |         apex_out.apex2qd(91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 575 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 576 |  |  |         apex_out.apex2qd(-91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 577 |  |  |     apex_out.apex2qd(90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 578 |  |  |     apex_out.apex2qd(-90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 579 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 580 |  |  |     assert_allclose(apex_out.apex2qd(90 + 1e-5, 0, 0), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 581 |  |  |                     apex_out.apex2qd(90, 0, 0), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 582 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 583 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 584 |  |  | def test_apex2qd_apexheight_close(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 585 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 586 |  |  |     apex_out.apex2qd(0, 15, 300 + 1e-6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 587 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 588 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 589 |  |  | def test_apex2qd_apexheight_over(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 590 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 591 |  |  |     with pytest.raises(ApexHeightError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 592 |  |  |         apex_out.apex2qd(0, 15, 301) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 593 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 594 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 595 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 596 |  |  | #  Test the qd2apex() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 597 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 598 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 599 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 600 |  |  | def test_qd2apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 601 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 602 |  |  |     lat, lon = apex_out.qd2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 603 |  |  |     assert_allclose((lat, lon), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 604 |  |  |                     [59.491381, 15]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 605 |  |  |     assert type(lat) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 606 |  |  |     assert type(lon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 607 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 608 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 609 |  |  | def test_qd2apex_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 610 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 611 |  |  |     assert apex_out.qd2apex([60, 60], 15, 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 612 |  |  |     assert apex_out.qd2apex(60, [15, 15], 100)[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 613 |  |  |     assert apex_out.qd2apex(60, 15, [100, 100])[0].shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 614 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 615 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 616 |  |  | def test_qd2apex_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 617 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 618 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 619 |  |  |         apex_out.qd2apex(91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 620 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 621 |  |  |         apex_out.qd2apex(-91, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 622 |  |  |     apex_out.qd2apex(90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 623 |  |  |     apex_out.qd2apex(-90, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 624 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 625 |  |  |     assert_allclose(apex_out.qd2apex(90 + 1e-5, 0, 0), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 626 |  |  |                     apex_out.qd2apex(90, 0, 0), rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 627 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 628 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 629 |  |  | def test_qd2apex_apexheight_close(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 630 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 631 |  |  |     assert_allclose(apex_out.qd2apex(0, 15, 300 - 1e-5), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 632 |  |  |                     apex_out.qd2apex(0, 15, 300)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 633 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 634 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 635 |  |  | def test_qd2apex_apexheight_over(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 636 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 637 |  |  |     with pytest.raises(ApexHeightError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 638 |  |  |         apex_out.qd2apex(0, 15, 299) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 639 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 640 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 641 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 642 |  |  | #  Test mlon2mlt() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 643 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 644 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 645 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 646 |  |  | def test_mlon2mlt_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 647 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 648 |  |  |     mlon = apex_out.mlon2mlt(0, dt.datetime(2000, 2, 3, 4, 5, 6)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 649 |  |  |     assert_allclose(mlon, 23.019629923502603) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 650 |  |  |     assert type(mlon) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 651 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 652 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 653 |  |  | def test_mlon2mlt_ssheight(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 654 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 655 |  |  |     mlt = apex_out.mlon2mlt(0, dt.datetime(2000, 2, 3, 4, 5, 6), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 656 |  |  |                             ssheight=50 * 2000) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 657 |  |  |     assert_allclose(mlt, 23.026712036132814) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 658 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 659 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 660 |  |  | def test_mlon2mlt_1Darray(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 661 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 662 |  |  |     assert_allclose(apex_out.mlon2mlt([0, 180], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 663 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 664 |  |  |                     [23.019261, 11.019261], rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 665 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 666 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 667 |  |  | def test_mlon2mlt_2Darray(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 668 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 669 |  |  |     assert_allclose(apex_out.mlon2mlt([[0, 180], [0, 180]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 670 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 671 |  |  |                     [[23.019261, 11.019261], [23.019261, 11.019261]], rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 672 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 673 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 674 |  |  | def test_mlon2mlt_diffdates(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 675 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 676 |  |  |     dtime1 = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 677 |  |  |     dtime2 = dt.datetime(2000, 2, 3, 5, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 678 |  |  |     assert apex_out.mlon2mlt(0, dtime1) != apex_out.mlon2mlt(0, dtime2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 679 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 680 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 681 |  |  | def test_mlon2mlt_offset(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 682 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 683 |  |  |     date = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 684 |  |  |     assert_allclose(apex_out.mlon2mlt(0, date), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 685 |  |  |                     apex_out.mlon2mlt(-15, date) + 1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 686 |  |  |     assert_allclose(apex_out.mlon2mlt(0, date), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 687 |  |  |                     apex_out.mlon2mlt(-10 * 15, date) + 10) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 688 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 689 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 690 |  |  | def test_mlon2mlt_range(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 691 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 692 |  |  |     assert_allclose(apex_out.mlon2mlt(range(0, 361, 30), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 693 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 694 |  |  |                     [23.01963, 1.01963, 3.01963, 5.01963, 7.01963, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 695 |  |  |                      9.01963, 11.01963, 13.01963, 15.01963, 17.01963, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 696 |  |  |                      19.01963, 21.01963, 23.01963], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 697 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 698 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 699 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 700 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 701 |  |  | #  Test mlt2mlon() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 702 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 703 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 704 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 705 |  |  | def test_mlt2mlon_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 706 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 707 |  |  |     mlt = apex_out.mlt2mlon(0, dt.datetime(2000, 2, 3, 4, 5, 6)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 708 |  |  |     assert_allclose(mlt, 14.705535888671875) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 709 |  |  |     assert type(mlt) != np.ndarray | 
            
                                                                                                            
                            
            
                                    
            
            
                | 710 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 711 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 712 |  |  | def test_mlt2mlon_ssheight(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 713 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 714 |  |  |     mlt = apex_out.mlt2mlon(0, dt.datetime(2000, 2, 3, 4, 5, 6), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 715 |  |  |                             ssheight=50 * 2000) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 716 |  |  |     assert_allclose(mlt, 14.599319458007812) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 717 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 718 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 719 |  |  | def test_mlt2mlon_1Darray(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 720 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 721 |  |  |     assert_allclose(apex_out.mlt2mlon([0, 12], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 722 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 723 |  |  |                     [14.705551, 194.705551], rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 724 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 725 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 726 |  |  | def test_mlt2mlon_2Darray(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 727 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 728 |  |  |     assert_allclose(apex_out.mlt2mlon([[0, 12], [0, 12]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 729 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 730 |  |  |                     [[14.705551, 194.705551], [14.705551, 194.705551]], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 731 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 732 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 733 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 734 |  |  | def test_mlt2mlon_diffdates(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 735 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 736 |  |  |     dtime1 = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 737 |  |  |     dtime2 = dt.datetime(2000, 2, 3, 5, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 738 |  |  |     assert apex_out.mlt2mlon(0, dtime1) != apex_out.mlt2mlon(0, dtime2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 739 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 740 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 741 |  |  | def test_mlt2mlon_offset(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 742 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 743 |  |  |     date = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 744 |  |  |     assert_allclose(apex_out.mlt2mlon(0, date), apex_out.mlt2mlon(1, date) - 15) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 745 |  |  |     assert_allclose(apex_out.mlt2mlon(0, date), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 746 |  |  |                     apex_out.mlt2mlon(10, date) - 150) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 747 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 748 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 749 |  |  | def test_mlt2mlon_range(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 750 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 751 |  |  |     assert_allclose(apex_out.mlt2mlon(range(0, 25, 2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 752 |  |  |                                       dt.datetime(2000, 2, 3, 4, 5, 6)), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 753 |  |  |                     [14.705551, 44.705551, 74.705551, 104.705551, 134.705551, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 754 |  |  |                      164.705551, 194.705551, 224.705551, 254.705551, 284.705551, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 755 |  |  |                      314.705551, 344.705551, 14.705551], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 756 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 757 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 758 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 759 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 760 |  |  | #  Test mlt/mlon back and forth | 
            
                                                                                                            
                            
            
                                    
            
            
                | 761 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 762 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 763 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 764 |  |  | def test_mlon2mlt2mlon(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 765 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 766 |  |  |     date = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 767 |  |  |     assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(0, date), date), 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 768 |  |  |     assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(6, date), date), 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 769 |  |  |     assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(12, date), date), 12) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 770 |  |  |     assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(18, date), date), 18) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 771 |  |  |     assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(24, date), date), 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 772 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 773 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 774 |  |  | def test_mlt2mlon2mlt(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 775 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 776 |  |  |     date = dt.datetime(2000, 2, 3, 4, 5, 6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 777 |  |  |     assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(0, date), date), 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 778 |  |  |     assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(90, date), date), 90) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 779 |  |  |     assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(180, date), date), 180) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 780 |  |  |     assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(270, date), date), 270) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 781 |  |  |     assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(360, date), date), 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 782 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 783 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 784 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 785 |  |  | #  Test the map_to_height() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 786 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 787 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 788 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 789 |  |  | def test_map_to_height(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 790 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 791 |  |  |     assert_allclose(apex_out.map_to_height(60, 15, 100, 10000, conjugate=False, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 792 |  |  |                                            precision=1e-10), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 793 |  |  |                     (31.841466903686523, 17.916635513305664, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 794 |  |  |                      1.7075473124350538e-6)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 795 |  |  |     assert_allclose(apex_out.map_to_height(30, 170, 100, 500, conjugate=False, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 796 |  |  |                                            precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 797 |  |  |                     (25.727270126342773, 169.60546875, 0.00017573432705830783)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 798 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 799 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 800 |  |  | def test_map_to_height_same_height(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 801 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 802 |  |  |     assert_allclose(apex_out.map_to_height(60, 15, 100, 100, conjugate=False, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 803 |  |  |                                            precision=1e-10), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 804 |  |  |                     (60.0, 15.000003814697266, 0.0), rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 805 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 806 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 807 |  |  | def test_map_to_height_conjugate(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 808 |  |  |     """Test results of map_to_height using conjugacy.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 809 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 810 |  |  |     assert_allclose(apex_out.map_to_height(60, 15, 100, 10000, conjugate=True, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 811 |  |  |                                            precision=1e-10), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 812 |  |  |                     (-25.424888610839844, 27.310426712036133, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 813 |  |  |                      1.2074182222931995e-6), atol=1e-6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 814 |  |  |     assert_allclose(apex_out.map_to_height(30, 170, 100, 500, conjugate=True, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 815 |  |  |                                            precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 816 |  |  |                     (-13.76642894744873, 164.24259948730469, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 817 |  |  |                      0.00056820799363777041), atol=1e-6) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 818 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 819 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 820 |  |  | def test_map_to_height_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 821 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 822 |  |  |     assert_allclose(apex_out.map_to_height([60, 60], 15, 100, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 823 |  |  |                     ([60] * 2, [15.00000381] * 2, [0] * 2), rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 824 |  |  |     assert_allclose(apex_out.map_to_height(60, [15, 15], 100, 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 825 |  |  |                     ([60] * 2, [15.00000381] * 2, [0] * 2), rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 826 |  |  |     assert_allclose(apex_out.map_to_height(60, 15, [100, 100], 100), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 827 |  |  |                     ([60] * 2, [15.00000381] * 2, [0] * 2), rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 828 |  |  |     assert_allclose(apex_out.map_to_height(60, 15, 100, [100, 100]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 829 |  |  |                     ([60] * 2, [15.00000381] * 2, [0] * 2), rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 830 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 831 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 832 |  |  | def test_map_to_height_ApexHeightError(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 833 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 834 |  |  |     with pytest.raises(ApexHeightError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 835 |  |  |         apex_out.map_to_height(0, 15, 100, 10000) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 836 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 837 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 838 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 839 |  |  | #  Test the map_E_to_height() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 840 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 841 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 842 |  |  |  | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 843 |  | View Code Duplication | def test_map_E_to_height(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 844 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 845 |  |  |     out_60_15_100_500 = [0.71152183, 2.35624876, 0.57260784] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 846 |  |  |     out_60_15_100_500_234 = [1.56028502, 3.43916636, 0.78235384] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 847 |  |  |     out_60_15_100_1000 = [0.67796492, 2.08982134, 0.55860785] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 848 |  |  |     out_60_15_200_500 = [0.72377397, 2.42737471, 0.59083726] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 849 |  |  |     out_60_30_100_500 = [0.68626344, 2.37530133, 0.60060124] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 850 |  |  |     out_70_15_100_500 = [0.72760378, 2.18082305, 0.29141979] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 851 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 852 |  |  |     # scalar | 
            
                                                                                                            
                            
            
                                    
            
            
                | 853 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 854 |  |  |                     out_60_15_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 855 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500, [2, 3, 4]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 856 |  |  |                     out_60_15_100_500_234, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 857 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 100, 1000, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 858 |  |  |                     out_60_15_100_1000, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 859 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 200, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 860 |  |  |                     out_60_15_200_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 861 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 30, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 862 |  |  |                     out_60_30_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 863 |  |  |     assert_allclose(apex_out.map_E_to_height(70, 15, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 864 |  |  |                     out_70_15_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 865 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 866 |  |  |     # vectorize lat | 
            
                                                                                                            
                            
            
                                    
            
            
                | 867 |  |  |     assert_allclose(apex_out.map_E_to_height([60, 70], 15, 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 868 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 869 |  |  |                     np.array([out_60_15_100_500, out_70_15_100_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 870 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 871 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 872 |  |  |     # vectorize lon | 
            
                                                                                                            
                            
            
                                    
            
            
                | 873 |  |  |     assert_allclose(apex_out.map_E_to_height(60, [15, 30], 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 874 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 875 |  |  |                     np.array([out_60_15_100_500, out_60_30_100_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 876 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 877 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 878 |  |  |     # vectorize height | 
            
                                                                                                            
                            
            
                                    
            
            
                | 879 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, [100, 200], 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 880 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 881 |  |  |                     np.array([out_60_15_100_500, out_60_15_200_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 882 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 883 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 884 |  |  |     # vectorize newheight | 
            
                                                                                                            
                            
            
                                    
            
            
                | 885 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 100, [500, 1000], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 886 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 887 |  |  |                     np.array([out_60_15_100_500, out_60_15_100_1000]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 888 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 889 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 890 |  |  |     # vectorize E | 
            
                                                                                                            
                            
            
                                    
            
            
                | 891 |  |  |     assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 892 |  |  |                                              np.array([[1, 2, 3], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 893 |  |  |                                                        [2, 3, 4]]).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 894 |  |  |                     np.array([out_60_15_100_500, out_60_15_100_500_234]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 895 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 896 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 897 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 898 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 899 |  |  | #  Test the map_V_to_height() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 900 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 901 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 902 |  |  |  | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 903 |  | View Code Duplication | def test_map_V_to_height(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 904 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 905 |  |  |     out_60_15_100_500 = [0.81971957, 2.84512495, 0.69545001] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 906 |  |  |     out_60_15_100_500_234 = [1.83027746, 4.14346436, 0.94764179] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 907 |  |  |     out_60_15_100_1000 = [0.92457698, 3.14997661, 0.85135187] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 908 |  |  |     out_60_15_200_500 = [0.80388262, 2.79321504, 0.68285158] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 909 |  |  |     out_60_30_100_500 = [0.76141245, 2.87884673, 0.73655941] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 910 |  |  |     out_70_15_100_500 = [0.84681866, 2.5925821,  0.34792655] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 911 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 912 |  |  |     # scalar | 
            
                                                                                                            
                            
            
                                    
            
            
                | 913 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 914 |  |  |                     out_60_15_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 915 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500, [2, 3, 4]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 916 |  |  |                     out_60_15_100_500_234, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 917 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 100, 1000, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 918 |  |  |                     out_60_15_100_1000, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 919 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 200, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 920 |  |  |                     out_60_15_200_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 921 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 30, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 922 |  |  |                     out_60_30_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 923 |  |  |     assert_allclose(apex_out.map_V_to_height(70, 15, 100, 500, [1, 2, 3]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 924 |  |  |                     out_70_15_100_500, rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 925 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 926 |  |  |     # vectorize lat | 
            
                                                                                                            
                            
            
                                    
            
            
                | 927 |  |  |     assert_allclose(apex_out.map_V_to_height([60, 70], 15, 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 928 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 929 |  |  |                     np.array([out_60_15_100_500, out_70_15_100_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 930 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 931 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 932 |  |  |     # vectorize lon | 
            
                                                                                                            
                            
            
                                    
            
            
                | 933 |  |  |     assert_allclose(apex_out.map_V_to_height(60, [15, 30], 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 934 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 935 |  |  |                     np.array([out_60_15_100_500, out_60_30_100_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 936 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 937 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 938 |  |  |     # vectorize height | 
            
                                                                                                            
                            
            
                                    
            
            
                | 939 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, [100, 200], 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 940 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 941 |  |  |                     np.array([out_60_15_100_500, out_60_15_200_500]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 942 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 943 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 944 |  |  |     # vectorize newheight | 
            
                                                                                                            
                            
            
                                    
            
            
                | 945 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 100, [500, 1000], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 946 |  |  |                                              np.array([[1, 2, 3]] * 2).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 947 |  |  |                     np.array([out_60_15_100_500, out_60_15_100_1000]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 948 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 949 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 950 |  |  |     # vectorize E | 
            
                                                                                                            
                            
            
                                    
            
            
                | 951 |  |  |     assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 952 |  |  |                                              np.array([[1, 2, 3], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 953 |  |  |                                                        [2, 3, 4]]).T), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 954 |  |  |                     np.array([out_60_15_100_500, out_60_15_100_500_234]).T, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 955 |  |  |                     rtol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 956 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 957 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 958 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 959 |  |  | #  Test basevectors_qd() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 960 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 961 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 962 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 963 |  |  | # test coords | 
            
                                                                                                            
                            
            
                                    
            
            
                | 964 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 965 |  |  | def test_basevectors_qd_scalar_geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 966 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 967 |  |  |     assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='geo'), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 968 |  |  |                     apex_out._basevec(60, 15, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 969 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 970 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 971 |  |  | def test_basevectors_qd_scalar_apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 972 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 973 |  |  |     glat, glon, _ = apex_out.apex2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 974 |  |  |     assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='apex', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 975 |  |  |                                             precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 976 |  |  |                     apex_out._basevec(glat, glon, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 977 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 978 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 979 |  |  | def test_basevectors_qd_scalar_qd(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 980 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 981 |  |  |     glat, glon, _ = apex_out.qd2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 982 |  |  |     assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='qd', | 
            
                                                                                                            
                            
            
                                    
            
            
                | 983 |  |  |                                             precision=1e-2), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 984 |  |  |                     apex_out._basevec(glat, glon, 100)) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 985 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 986 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 987 |  |  | # test shapes and vectorization of arguments | 
            
                                                                                                            
                            
            
                                    
            
            
                | 988 |  |  | def test_basevectors_qd_scalar_shape(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 989 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 990 |  |  |     ret = apex_out.basevectors_qd(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 991 |  |  |     for r in ret: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 992 |  |  |         assert r.shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 993 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 994 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 995 |  |  | def test_basevectors_qd_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 996 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 997 |  |  |     ret = apex_out.basevectors_qd([60, 60, 60, 60], 15, 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 998 |  |  |     for r in ret: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 999 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1000 |  |  |     ret = apex_out.basevectors_qd(60, [15, 15, 15, 15], 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1001 |  |  |     for r in ret: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1002 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1003 |  |  |     ret = apex_out.basevectors_qd(60, 15, [100, 100, 100, 100], coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1004 |  |  |     for r in ret: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1005 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1006 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1007 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1008 |  |  | # test array return values | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1009 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1010 |  |  | def test_basevectors_qd_array(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1011 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1012 |  |  |     f1, f2 = apex_out.basevectors_qd([0, 30], 15, 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1013 |  |  |     f1_lat0, f2_lat0 = apex_out._basevec(0, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1014 |  |  |     f1_lat30, f2_lat30 = apex_out._basevec(30, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1015 |  |  |     assert_allclose(f1[:, 0], f1_lat0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1016 |  |  |     assert_allclose(f2[:, 0], f2_lat0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1017 |  |  |     assert_allclose(f1[:, 1], f1_lat30) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1018 |  |  |     assert_allclose(f2[:, 1], f2_lat30) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1019 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1020 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1021 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1022 |  |  | #  Test basevectors_apex() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1023 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1024 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1025 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1026 |  |  | # test against return from _geo2apexall for different coords | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1027 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1028 |  |  | def test_basevectors_apex_scalar_geo(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1029 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1030 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1031 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1032 |  |  |      e3) = apex_out.basevectors_apex(60, 15, 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1033 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1034 |  |  |     (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1035 |  |  |      e3_) = apex_out._geo2apexall(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1036 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1037 |  |  |     assert_allclose(f1, f1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1038 |  |  |     assert_allclose(f2, f2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1039 |  |  |     assert_allclose(d1, d1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1040 |  |  |     assert_allclose(d2, d2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1041 |  |  |     assert_allclose(d3, d3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1042 |  |  |     assert_allclose(e1, e1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1043 |  |  |     assert_allclose(e2, e2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1044 |  |  |     assert_allclose(e3, e3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1045 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1046 |  |  |  | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 1047 |  | View Code Duplication | def test_basevectors_apex_scalar_apex(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1048 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1049 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1050 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1051 |  |  |      e3) = apex_out.basevectors_apex(60, 15, 100, coords='apex', precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1052 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1053 |  |  |     glat, glon, _ = apex_out.apex2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1054 |  |  |     (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1055 |  |  |      e3_) = apex_out._geo2apexall(glat, glon, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1056 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1057 |  |  |     assert_allclose(f1, f1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1058 |  |  |     assert_allclose(f2, f2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1059 |  |  |     assert_allclose(d1, d1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1060 |  |  |     assert_allclose(d2, d2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1061 |  |  |     assert_allclose(d3, d3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1062 |  |  |     assert_allclose(e1, e1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1063 |  |  |     assert_allclose(e2, e2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1064 |  |  |     assert_allclose(e3, e3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1065 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1066 |  |  |  | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 1067 |  | View Code Duplication | def test_basevectors_apex_scalar_qd(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1068 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1069 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1070 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1071 |  |  |      e3) = apex_out.basevectors_apex(60, 15, 100, coords='qd', precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1072 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1073 |  |  |     glat, glon, _ = apex_out.qd2geo(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1074 |  |  |     (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1075 |  |  |      e3_) = apex_out._geo2apexall(glat, glon, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1076 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1077 |  |  |     assert_allclose(f1, f1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1078 |  |  |     assert_allclose(f2, f2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1079 |  |  |     assert_allclose(d1, d1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1080 |  |  |     assert_allclose(d2, d2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1081 |  |  |     assert_allclose(d3, d3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1082 |  |  |     assert_allclose(e1, e1_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1083 |  |  |     assert_allclose(e2, e2_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1084 |  |  |     assert_allclose(e3, e3_) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1085 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1086 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1087 |  |  | # test shapes and vectorization of arguments | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1088 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1089 |  |  | def test_basevectors_apex_scalar_shape(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1090 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1091 |  |  |     ret = apex_out.basevectors_apex(60, 15, 100, precision=1e-2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1092 |  |  |     for r in ret[:2]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1093 |  |  |         assert r.shape == (2,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1094 |  |  |     for r in ret[2:]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1095 |  |  |         assert r.shape == (3,) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1096 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1097 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1098 |  |  | def test_basevectors_apex_vectorization(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1099 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1100 |  |  |     ret = apex_out.basevectors_apex([60, 60, 60, 60], 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1101 |  |  |     for r in ret[:2]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1102 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1103 |  |  |     for r in ret[2:]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1104 |  |  |         assert r.shape == (3, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1105 |  |  |     ret = apex_out.basevectors_apex(60, [15, 15, 15, 15], 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1106 |  |  |     for r in ret[:2]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1107 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1108 |  |  |     for r in ret[2:]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1109 |  |  |         assert r.shape == (3, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1110 |  |  |     ret = apex_out.basevectors_apex(60, 15, [100, 100, 100, 100]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1111 |  |  |     for r in ret[:2]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1112 |  |  |         assert r.shape == (2, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1113 |  |  |     for r in ret[2:]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1114 |  |  |         assert r.shape == (3, 4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1115 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1116 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1117 |  |  | # test correct vectorization of height | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 1118 |  | View Code Duplication | def test_basevectors_apex_vectorization_height(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1119 |  |  |     apex_out = Apex(date=2000, refh=0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1120 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1121 |  |  |      e3) = apex_out.basevectors_apex(60, 15, [200, 400], coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1122 |  |  |     (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1123 |  |  |      e3_1) = apex_out._geo2apexall(60, 15, 200) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1124 |  |  |     (_, _, _, _, f1_2, f2_2, _, d1_2, d2_2, d3_2, _, e1_2, e2_2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1125 |  |  |      e3_2) = apex_out._geo2apexall(60, 15, 400) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1126 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1127 |  |  |     assert_allclose(f1[:, 0], f1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1128 |  |  |     assert_allclose(f2[:, 0], f2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1129 |  |  |     assert_allclose(d1[:, 0], d1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1130 |  |  |     assert_allclose(d2[:, 0], d2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1131 |  |  |     assert_allclose(d3[:, 0], d3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1132 |  |  |     assert_allclose(e1[:, 0], e1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1133 |  |  |     assert_allclose(e2[:, 0], e2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1134 |  |  |     assert_allclose(e3[:, 0], e3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1135 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1136 |  |  |     assert_allclose(f3[:, 0], np.array([-0.088671, -0.018272, 0.993576]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1137 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1138 |  |  |     assert_allclose(g1[:, 0], np.array([0.903098, 0.245273, 0.085107]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1139 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1140 |  |  |     assert_allclose(g2[:, 0], np.array([-0.103495, 1.072078, 0.01048]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1141 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1142 |  |  |     assert_allclose(g3[:, 0], np.array([0, 0, 1.006465]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1143 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1144 |  |  |     assert_allclose(f1[:, 1], f1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1145 |  |  |     assert_allclose(f2[:, 1], f2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1146 |  |  |     assert_allclose(d1[:, 1], d1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1147 |  |  |     assert_allclose(d2[:, 1], d2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1148 |  |  |     assert_allclose(d3[:, 1], d3_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1149 |  |  |     assert_allclose(e1[:, 1], e1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1150 |  |  |     assert_allclose(e2[:, 1], e2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1151 |  |  |     assert_allclose(e3[:, 1], e3_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1152 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1153 |  |  |     assert_allclose(f3[:, 1], np.array([-0.085415, -0.021176, 0.989645]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1154 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1155 |  |  |     assert_allclose(g1[:, 1], np.array([0.902695, 0.246919, 0.083194]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1156 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1157 |  |  |     assert_allclose(g2[:, 1], np.array([-0.11051, 1.066094, 0.013274]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1158 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1159 |  |  |     assert_allclose(g3[:, 1], np.array([0, 0, 1.010463]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1160 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1161 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1162 |  |  | # test scalar return values | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1163 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1164 |  |  | def test_basevectors_apex_scalar(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1165 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1166 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1167 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1168 |  |  |      e3) = apex_out.basevectors_apex(0, 15, 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1169 |  |  |     (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1170 |  |  |      e3_1) = apex_out._geo2apexall(0, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1171 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1172 |  |  |     assert_allclose(f1, f1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1173 |  |  |     assert_allclose(f2, f2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1174 |  |  |     assert_allclose(d1, d1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1175 |  |  |     assert_allclose(d2, d2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1176 |  |  |     assert_allclose(d3, d3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1177 |  |  |     assert_allclose(e1, e1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1178 |  |  |     assert_allclose(e2, e2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1179 |  |  |     assert_allclose(e3, e3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1180 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1181 |  |  |     assert_allclose(f3, np.array([0.092637, -0.245951, 0.938848]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1182 |  |  |     assert_allclose(g1, np.array([0.939012, 0.073416, -0.07342]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1183 |  |  |     assert_allclose(g2, np.array([0.055389, 1.004155, 0.257594]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1184 |  |  |     assert_allclose(g3, np.array([0, 0, 1.065135]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1185 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1186 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1187 |  |  | # test 1D array return values | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1188 |  |  |  | 
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 1189 |  | View Code Duplication | def test_basevectors_apex_array(): | 
                            
                    |  |  |  | 
                                                                                        
                                                                                     | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1190 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1191 |  |  |     (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1192 |  |  |      e3) = apex_out.basevectors_apex([0, 30], 15, 100, coords='geo') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1193 |  |  |     (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1194 |  |  |      e3_1) = apex_out._geo2apexall(0, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1195 |  |  |     (_, _, _, _, f1_2, f2_2, _, d1_2, d2_2, d3_2, _, e1_2, e2_2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1196 |  |  |      e3_2) = apex_out._geo2apexall(30, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1197 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1198 |  |  |     assert_allclose(f1[:, 0], f1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1199 |  |  |     assert_allclose(f2[:, 0], f2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1200 |  |  |     assert_allclose(d1[:, 0], d1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1201 |  |  |     assert_allclose(d2[:, 0], d2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1202 |  |  |     assert_allclose(d3[:, 0], d3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1203 |  |  |     assert_allclose(e1[:, 0], e1_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1204 |  |  |     assert_allclose(e2[:, 0], e2_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1205 |  |  |     assert_allclose(e3[:, 0], e3_1) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1206 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1207 |  |  |     assert_allclose(f3[:, 0], np.array([0.092637, -0.245951, 0.938848]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1208 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1209 |  |  |     assert_allclose(g1[:, 0], np.array([0.939012, 0.073416, -0.07342]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1210 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1211 |  |  |     assert_allclose(g2[:, 0], np.array([0.055389, 1.004155, 0.257594]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1212 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1213 |  |  |     assert_allclose(g3[:, 0], np.array([0, 0, 1.065135]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1214 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1215 |  |  |     assert_allclose(f1[:, 1], f1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1216 |  |  |     assert_allclose(f2[:, 1], f2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1217 |  |  |     assert_allclose(d1[:, 1], d1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1218 |  |  |     assert_allclose(d2[:, 1], d2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1219 |  |  |     assert_allclose(d3[:, 1], d3_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1220 |  |  |     assert_allclose(e1[:, 1], e1_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1221 |  |  |     assert_allclose(e2[:, 1], e2_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1222 |  |  |     assert_allclose(e3[:, 1], e3_2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1223 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1224 |  |  |     assert_allclose(f3[:, 1], np.array([-0.036618, -0.071019, 0.861604]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1225 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1226 |  |  |     assert_allclose(g1[:, 1], np.array([0.844391, 0.015353, 0.037152]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1227 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1228 |  |  |     assert_allclose(g2[:, 1], np.array([0.050808, 1.02131, 0.086342]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1229 |  |  |                     rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1230 |  |  |     assert_allclose(g3[:, 1], np.array([0, 0, 1.160625]), rtol=1e-4) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1231 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1232 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1233 |  |  | # test that vectors are calculated correctly | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1234 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1235 |  |  | def test_basevectors_apex_delta(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1236 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1237 |  |  |     for lat in range(0, 90, 10): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1238 |  |  |         for lon in range(0, 360, 15): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1239 |  |  |             (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1240 |  |  |              e3) = apex_out.basevectors_apex(lat, lon, 500) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1241 |  |  |             f = [np.append(f1, 0), np.append(f2, 0), f3] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1242 |  |  |             g = [g1, g2, g3] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1243 |  |  |             d = [d1, d2, d3] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1244 |  |  |             e = [e1, e2, e3] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1245 |  |  |             for i, j in [(i, j) for i in range(3) for j in range(3)]: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1246 |  |  |                 delta = 1 if i == j else 0 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1247 |  |  |                 assert_allclose(np.sum(f[i] * g[j]), delta, rtol=0, atol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1248 |  |  |                 assert_allclose(np.sum(d[i] * e[j]), delta, rtol=0, atol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1249 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1250 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1251 |  |  | def test_basevectors_apex_invalid_scalar(recwarn): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1252 |  |  |     """Test warning and fill values for calculating base vectors with bad value. | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1253 |  |  |     """ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1254 |  |  |     apex_out = Apex(date=2000, refh=10000) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1255 |  |  |     base_vecs = apex_out.basevectors_apex(0, 0, 0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1256 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1257 |  |  |     assert issubclass(recwarn[-1].category, UserWarning) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1258 |  |  |     assert 'set to NaN where' in str(recwarn[-1].message) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1259 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1260 |  |  |     invalid = np.ones(3) * np.nan | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1261 |  |  |     for i, bvec in enumerate(base_vecs): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1262 |  |  |         if i < 2: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1263 |  |  |             assert not np.allclose(bvec, invalid[:2]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1264 |  |  |         else: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1265 |  |  |             assert_allclose(bvec, invalid) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1266 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1267 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1268 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1269 |  |  | #  Test the get_apex() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1270 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1271 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1272 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1273 |  |  | def test_get_apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1274 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1275 |  |  |     assert_allclose(apex_out.get_apex(10), 507.409702543805) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1276 |  |  |     assert_allclose(apex_out.get_apex(60), 20313.026999999987) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1277 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1278 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1279 |  |  | def test_get_apex_invalid_lat(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1280 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1281 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1282 |  |  |         apex_out.get_apex(91) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1283 |  |  |     with pytest.raises(ValueError): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1284 |  |  |         apex_out.get_apex(-91) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1285 |  |  |     apex_out.get_apex(90) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1286 |  |  |     apex_out.get_apex(-90) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1287 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1288 |  |  |     assert_allclose(apex_out.get_apex(90 + 1e-5), apex_out.get_apex(90), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1289 |  |  |                     rtol=0, atol=1e-8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1290 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1291 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1292 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1293 |  |  | #  Test the set_epoch() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1294 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1295 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1296 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1297 |  |  | def test_set_epoch(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1298 |  |  |     """Test successful setting of Apex epoch.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1299 |  |  |     apex_out = Apex(date=2000.2, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1300 |  |  |     assert_allclose(apex_out.year, 2000.2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1301 |  |  |     ret_2000_2_py = apex_out._geo2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1302 |  |  |     apex_out.set_epoch(2000.8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1303 |  |  |     assert_allclose(apex_out.year, 2000.8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1304 |  |  |     ret_2000_8_py = apex_out._geo2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1305 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1306 |  |  |     assert ret_2000_2_py != ret_2000_8_py | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1307 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1308 |  |  |     fa.loadapxsh(apex_out.datafile, 2000.2) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1309 |  |  |     ret_2000_2_apex = fa.apxg2all(60, 15, 100, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1310 |  |  |     fa.loadapxsh(apex_out.datafile, 2000.8) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1311 |  |  |     ret_2000_8_apex = fa.apxg2all(60, 15, 100, 300, 0)[2:4] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1312 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1313 |  |  |     assert ret_2000_2_apex != ret_2000_8_apex | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1314 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1315 |  |  |     assert_allclose(ret_2000_2_py, ret_2000_2_apex) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1316 |  |  |     assert_allclose(ret_2000_8_py, ret_2000_8_apex) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1317 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1318 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1319 |  |  | @pytest.fixture() | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1320 |  |  | def igrf_file(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1321 |  |  |     # Ensure the coefficient file exists | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1322 |  |  |     original_file = os.path.join(os.path.dirname(helpers.__file__), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1323 |  |  |                                  'igrf13coeffs.txt') | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1324 |  |  |     tmp_file = "temp_coeff.txt" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1325 |  |  |     assert os.path.isfile(original_file) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1326 |  |  |     # Move the coefficient file | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1327 |  |  |     os.rename(original_file, tmp_file) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1328 |  |  |     yield original_file | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1329 |  |  |     # Move the coefficient file back | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1330 |  |  |     os.rename(tmp_file, original_file) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1331 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1332 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1333 |  |  | def test_set_epoch_file_error(igrf_file): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1334 |  |  |     """Test raises OSError when IGRF coefficient file is missing.""" | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1335 |  |  |     # Test missing coefficient file failure | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1336 |  |  |     with pytest.raises(OSError) as oerr: | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1337 |  |  |         Apex(date=2000.2, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1338 |  |  |     error_string = "File {:} does not exist".format(igrf_file) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1339 |  |  |     assert str(oerr.value).startswith(error_string) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1340 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1341 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1342 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1343 |  |  | #  Test the set_refh() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1344 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1345 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1346 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1347 |  |  | def test_set_refh(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1348 |  |  |     apex_out = Apex(date=2000, refh=300) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1349 |  |  |     assert apex_out.refh, 300 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1350 |  |  |     ret_300 = apex_out._geo2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1351 |  |  |     apex_out.set_refh(500) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1352 |  |  |     assert apex_out.refh == 500 | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1353 |  |  |     ret_500 = apex_out._geo2apex(60, 15, 100) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1354 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1355 |  |  |     assert_allclose(ret_300, fa.apxg2all(60, 15, 100, 300, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1356 |  |  |     assert_allclose(ret_500, fa.apxg2all(60, 15, 100, 500, 0)[2:4]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1357 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1358 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1359 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1360 |  |  | #  Test the get_babs() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1361 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1362 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1363 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1364 |  |  | def test_get_babs(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1365 |  |  |     inputs = [[[80], [100], [300]], [range(50, 90, 8), range(0, 360, 80), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1366 |  |  |                                      [300] * 5], [90.0, 0, 1000]] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1367 |  |  |     temp1 = np.array([4.22045410e-05, 5.15672743e-05, 4.98150200e-05, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1368 |  |  |                      5.06769359e-05, 4.91028428e-05]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1369 |  |  |     expected = [[5.1303124427795412e-05], temp1, [3.793962299823761e-05]] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1370 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1371 |  |  |     apex_out = Apex(date=2018.1, refh=0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1372 |  |  |     for i in range(len(inputs)): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1373 |  |  |         outputs = apex_out.get_babs(*inputs[i]) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1374 |  |  |         if isinstance(outputs, np.float64): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1375 |  |  |             outputs = [outputs] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1376 |  |  |         for j, output in enumerate(outputs): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1377 |  |  |             assert_allclose(output, expected[i][j], rtol=0, atol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1378 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1379 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1380 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1381 |  |  | #  Test the bvectors_apex() method | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1382 |  |  | # ============================================================================ | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1383 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1384 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1385 |  |  | def test_bvectors_apex(): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1386 |  |  |     inputs = [[80, 81], [100, 120], [100, 200]] | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1387 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1388 |  |  |     expected = (np.array([5.95166171e-05, 5.95958974e-05]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1389 |  |  |                 np.array([[0.0191583, 0.0020023], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1390 |  |  |                           [0.03547136, 0.03392595], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1391 |  |  |                           [-0.9412518, -0.8991005]]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1392 |  |  |                 np.array([5.28257734e-05, 4.82450628e-05]), | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1393 |  |  |                 np.array([[0.02158486, 0.00247339], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1394 |  |  |                           [0.03996412, 0.04190787], | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1395 |  |  |                           [-1.0604696, -1.110636]])) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1396 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1397 |  |  |     apex_out = Apex(date=2018.1, refh=0) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1398 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1399 |  |  |     outputs = apex_out.bvectors_apex(*inputs, coords='geo', precision=1e-10) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1400 |  |  |     for i, output in enumerate(outputs): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1401 |  |  |         for j in range(output.size): | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1402 |  |  |             assert_allclose(output.ravel()[j], expected[i].ravel()[j], rtol=0, | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1403 |  |  |                             atol=1e-5) | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1404 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1405 |  |  |  | 
            
                                                                                                            
                            
            
                                    
            
            
                | 1406 |  |  | if __name__ == '__main__': | 
            
                                                                                                            
                                                                
            
                                    
            
            
                | 1407 |  |  |     pytest.main() | 
            
                                                        
            
                                    
            
            
                | 1408 |  |  |  |