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                # -*- coding: utf-8 -*-  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from __future__ import division, absolute_import, unicode_literals  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import datetime as dt  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import warnings  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import pytest  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from pytest import approx  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from numpy.testing import assert_allclose  # FIXME: finish replacing with pytest.approx  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from apexpy import fortranapex as fa  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from apexpy import Apex, ApexHeightError, helpers  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                ##############################################################################  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # NOTE: whenever function outputs are tested against hard-coded numbers,     #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # the test results (numbers) were obtained by running the code that is       #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # tested. Therefore these tests below only check that nothing changes when   #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # refactoring etc., and not if the results are actually correct              #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                ##############################################################################  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Test initiating the Apex class  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_init_defaults():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Apex()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @pytest.mark.parametrize('intime', [2015, 2015.5], ids=['int', 'float']) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_init_date_types(intime):  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
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                    apex_out = Apex(date=intime)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    assert apex_out.year == intime  | 
            
            
                                                                        
                            
            
                                    
            
            
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                @pytest.mark.parametrize('intime', [dt.date(2015, 1, 1), dt.datetime(2015, 6, 1, 18, 23, 45)], | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                          ids=['date', 'datetime'])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_init_datetime(intime):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=intime)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert apex_out.year == helpers.toYearFraction(intime)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_init_datafile_IOError():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with pytest.raises(IOError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Apex(date=2015, datafile='foo/path/to/datafile.blah')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Test the low-level interfaces to the fortran wrappers  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2qd_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for lat in [0, 30, 60, 89]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for lon in [-179, -90, 0, 90, 180]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            assert apex_out._geo2qd(lat, lon, 100) == approx(fa.apxg2q(lat, lon, 100, 0)[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2qd_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lats, lons = apex_out._geo2qd([[0, 30], [60, 90]], 15,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  [[100, 200], [300, 400]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat1, lon1 = fa.apxg2q(0, 15, 100, 0)[:2]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat2, lon2 = fa.apxg2q(30, 15, 200, 0)[:2]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat3, lon3 = fa.apxg2q(60, 15, 300, 0)[:2]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat4, lon4 = fa.apxg2q(90, 15, 400, 0)[:2]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert lats.astype(float) == approx(np.array([[lat1, lat2], [lat3, lat4]], dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert lons.astype(float) == approx(np.array([[lon1, lon2], [lon3, lon4]], dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2qd_longitude():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2qd(60, 180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    fa.apxg2q(60, 180, 100, 0)[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2qd(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    fa.apxg2q(60, -180, 100, 0)[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2qd(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                    apex_out._geo2qd(60, 180, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for i in range(-5, 5):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for lat in [0, 30, 60, 90]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            assert_allclose(apex_out._geo2qd(lat, 15+i*360, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                            fa.apxg2q(lat, 15, 100, 0)[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2apex_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for lat in [0, 30, 60, 89]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        for lon in [-179, -90, 0, 90, 180]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            assert_allclose(apex_out._geo2apex(lat, lon, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                            fa.apxg2all(lat, lon, 100, 300, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2apex_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lats, lons = apex_out._geo2apex([[0, 30], [60, 90]], 15,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                    [[100, 200], [300, 400]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat1, lon1 = fa.apxg2all(0, 15, 100, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat2, lon2 = fa.apxg2all(30, 15, 200, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    lat3, lon3 = fa.apxg2all(60, 15, 300, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    105
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                    lat4, lon4 = fa.apxg2all(90, 15, 400, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(lats.astype(float), np.array([[lat1, lat2], [lat3, lat4]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                 dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(lons.astype(float), np.array([[lon1, lon2], [lon3, lon4]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                                 dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test__geo2apex_longitude():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2apex(60, 180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    115
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                                    fa.apxg2all(60, 180, 100, 300, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2apex(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    117
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                                    fa.apxg2all(60, -180, 100, 300, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_allclose(apex_out._geo2apex(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
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                                    apex_out._geo2apex(60, 180, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                    for i in range(-5, 5):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    121
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                        for lat in [0, 30, 60, 90]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    122
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                            assert_allclose(apex_out._geo2apex(lat, 15+i*360, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                                            fa.apxg2all(lat, 15, 100, 300, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                def test__geo2apexall_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                    for lat in [0, 30, 60, 89]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                        for lon in [-179, -90, 0, 90, 180]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                            ret1 = apex_out._geo2apexall(lat, lon, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                            ret2 = fa.apxg2all(lat, lon, 100, 300, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                            for r1, r2 in zip(ret1, ret2):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                                assert_allclose(r1, r2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                def test__geo2apexall_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out._geo2apexall([[0, 30], [60, 90]], 15,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                                                [[100, 200], [300, 400]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                    ret1 = fa.apxg2all(0, 15, 100, 300, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    ret2 = fa.apxg2all(30, 15, 200, 300, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                    ret3 = fa.apxg2all(60, 15, 300, 300, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    ret4 = fa.apxg2all(90, 15, 400, 300, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    for i in range(len(ret)):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                        try:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                            # ret[i] is array of floats  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(ret[i].astype(float),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                                            np.array([[ret1[i], ret2[i]], [ret3[i], ret4[i]]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                                                     dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                        except:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                            # ret[i] is array of arrays  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(ret[i][0, 0], ret1[i])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(ret[i][0, 1], ret2[i])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(ret[i][1, 0], ret3[i])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(ret[i][1, 1], ret4[i])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                def test__qd2geo_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                    for lat in [0, 30, 60, 89]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                        for lon in [-179, -90, 0, 90, 180]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                            for prec in [-1, 1e-2, 1e-10]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                                assert_allclose(apex_out._qd2geo(lat, lon, 100, prec),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                                                fa.apxq2g(lat, lon, 100, prec))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                def test__qd2geo_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    lats, lons, errs = apex_out._qd2geo([[0, 30], [60, 90]], 15,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                                                        [[100, 200], [300, 400]], 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                    lat1, lon1, err1 = fa.apxq2g(0, 15, 100, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                    lat2, lon2, err2 = fa.apxq2g(30, 15, 200, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    lat3, lon3, err3 = fa.apxq2g(60, 15, 300, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    lat4, lon4, err4 = fa.apxq2g(90, 15, 400, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(lats.astype(float), np.array([[lat1, lat2], [lat3, lat4]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                                                                 dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(lons.astype(float), np.array([[lon1, lon2], [lon3, lon4]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                                                                 dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(errs.astype(float), np.array([[err1, err2], [err3, err4]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                                                                 dtype=float))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                def test__qd2geo_longitude():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._qd2geo(60, 180, 100, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                                    fa.apxq2g(60, 180, 100, 1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._qd2geo(60, -180, 100, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                                    fa.apxq2g(60, -180, 100, 1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._qd2geo(60, -180, 100, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out._qd2geo(60, 180, 100, 1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    for i in range(-5, 5):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                        for lat in [0, 30, 60, 90]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(apex_out._qd2geo(lat, 15+i*360, 100, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                                            fa.apxq2g(lat, 15, 100, 1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                def test__basevec_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                    for lat in [0, 30, 60, 89]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                        for lon in [-179, -90, 0, 90, 180]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(apex_out._basevec(lat, lon, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                                            fa.apxg2q(lat, lon, 100, 1)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                def test__basevec_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                    f1s, f2s = apex_out._basevec([[0, 30], [60, 90]], 15,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                                                 [[100, 200], [300, 400]])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    f11, f21 = fa.apxg2q(0, 15, 100, 1)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                    f12, f22 = fa.apxg2q(30, 15, 200, 1)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                    f13, f23 = fa.apxg2q(60, 15, 300, 1)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                    f14, f24 = fa.apxg2q(90, 15, 400, 1)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1s[0, 0], f11)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1s[0, 1], f12)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1s[1, 0], f13)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1s[1, 1], f14)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2s[0, 0], f21)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2s[0, 1], f22)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2s[1, 0], f23)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2s[1, 1], f24)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                def test__basevec_longitude():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._basevec(60, 180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                                    fa.apxg2q(60, 180, 100, 1)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._basevec(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                                    fa.apxg2q(60, -180, 100, 1)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out._basevec(60, -180, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out._basevec(60, 180, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                    for i in range(-5, 5):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                        for lat in [0, 30, 60, 90]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                            assert_allclose(apex_out._basevec(lat, 15+i*360, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                                            fa.apxg2q(lat, 15, 100, 1)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                # Test the convert() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_geo2apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'geo', 'apex', height=100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.geo2apex(60, 15, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_geo2qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'geo', 'qd', height=100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.geo2qd(60, 15, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_geo2mlt_nodate():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.convert(60, 15, 'geo', 'mlt')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_geo2mlt():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'geo', 'mlt', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                                                     ssheight=2e5, datetime=datetime)[1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlon2mlt(apex_out.geo2apex(60, 15, 100)[1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                                                      datetime, ssheight=2e5))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_apex2geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'apex', 'geo', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                                                     precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.apex2geo(60, 15, 100, precision=1e-2)[:-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_apex2qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'apex', 'qd', height=100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.apex2qd(60, 15, height=100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_apex2mlt():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'apex', 'mlt', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                                                     datetime=datetime, ssheight=2e5)[1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlon2mlt(15, datetime, ssheight=2e5))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_qd2geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'qd', 'geo', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                                                     precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.qd2geo(60, 15, 100, precision=1e-2)[:-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_qd2apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'qd', 'apex', height=100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.qd2apex(60, 15, height=100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_qd2mlt():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'qd', 'mlt', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                                                     | 
                
                 | 
                                                     datetime=datetime, ssheight=2e5)[1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlon2mlt(15, datetime, ssheight=2e5))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_mlt2geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'mlt', 'geo', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                                                     datetime=datetime, precision=1e-2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                                                     | 
                
                 | 
                                                     ssheight=2e5),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.apex2geo(60, apex_out.mlt2mlon(15, datetime,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                                                                            ssheight=2e5), 100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                                                      precision=1e-2)[:-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_mlt2apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'mlt', 'apex', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                                                     datetime=datetime, ssheight=2e5),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                                    (60, apex_out.mlt2mlon(15, datetime, ssheight=2e5)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_mlt2qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                    datetime = dt.datetime(2000, 3, 9, 14, 25, 58)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(60, 15, 'mlt', 'qd', height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                                                     | 
                
                 | 
                                                     datetime=datetime, ssheight=2e5),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.apex2qd(60, apex_out.mlt2mlon(15, datetime,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    336
                 | 
                                    
                                                     | 
                
                 | 
                                                                           ssheight=2e5),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                                                     | 
                
                 | 
                                                     height=100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.convert(91, 0, 'geo', 'geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.convert(-91, 0, 'geo', 'geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.convert(90, 0, 'geo', 'geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.convert(-90, 0, 'geo', 'geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.convert(90+1e-5, 0, 'geo', 'apex'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.convert(90, 0, 'geo', 'apex'), rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    351
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                def test_convert_invalid_transformation():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(NotImplementedError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.convert(0, 0, 'foobar', 'geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(NotImplementedError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.convert(0, 0, 'geo', 'foobar')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                                                     | 
                
                 | 
                # Test the geo2apex() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon = apex_out.geo2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon), apex_out._geo2apex(60, 15, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2apex_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2apex([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2apex(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2apex(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2apex_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.geo2apex(91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.geo2apex(-91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.geo2apex(90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.geo2apex(-90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.geo2apex(90+1e-5, 0, 0),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.geo2apex(90, 0, 0), rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2apex_undefined_warning():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=10000)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    396
                 | 
                                    
                                                     | 
                
                 | 
                    with warnings.catch_warnings(record=True) as w:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                        ret = apex_out.geo2apex(0, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                        assert ret[0] == -9999  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                        assert issubclass(w[-1].category, UserWarning)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                        assert 'set to -9999 where' in str(w[-1].message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                # Test the apex2geo() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon, error = apex_out.apex2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon, error),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.qd2geo(*apex_out.apex2qd(60, 15, 100), height=100,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                                                    precision=1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(error) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2geo_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2geo([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2geo(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2geo(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2geo_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.apex2geo(91, 0, 0, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.apex2geo(-91, 0, 0, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.apex2geo(90, 0, 0, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.apex2geo(-90, 0, 0, 1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.apex2geo(90+1e-5, 0, 0, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.apex2geo(90, 0, 0, 1e-2), rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                                                     | 
                
                 | 
                # Test the geo2qd() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    442
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    443
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    444
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    445
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    446
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon = apex_out.geo2qd(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    447
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon), apex_out._geo2qd(60, 15, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    448
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    449
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    450
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    451
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    452
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2qd_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    453
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    454
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2qd([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    455
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2qd(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    456
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.geo2qd(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    457
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    458
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    459
                 | 
                                    
                                                     | 
                
                 | 
                def test_geo2qd_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    460
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    461
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    462
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.geo2qd(91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    463
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    464
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.geo2qd(-91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    465
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.geo2qd(90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    466
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.geo2qd(-90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    467
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    468
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.geo2qd(90+1e-5, 0, 0), apex_out.geo2qd(90, 0, 0),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    469
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    470
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    471
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    472
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    473
                 | 
                                    
                                                     | 
                
                 | 
                # Test the qd2geo() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    474
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    475
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    476
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    477
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    478
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    479
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon, error = apex_out.qd2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    480
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon, error), apex_out._qd2geo(60, 15, 100, 1e-2))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    481
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    482
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    483
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(error) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    484
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    485
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    486
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2geo_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    487
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    488
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2geo([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    489
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2geo(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    490
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2geo(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    491
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    492
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    493
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2geo_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    494
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    495
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    496
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.qd2geo(91, 0, 0, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    497
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    498
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.qd2geo(-91, 0, 0, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    499
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.qd2geo(90, 0, 0, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    500
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.qd2geo(-90, 0, 0, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    501
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    502
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.qd2geo(90+1e-5, 0, 0, 1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    503
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.qd2geo(90, 0, 0, 1e-2), rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    504
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    505
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    506
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    507
                 | 
                                    
                                                     | 
                
                 | 
                # Test the apex2qd() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    508
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    509
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    510
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    511
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    512
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    513
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon = apex_out.apex2qd(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    514
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    515
                 | 
                                    
                                                     | 
                
                 | 
                                    [60.498401, 15])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    516
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    517
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    518
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    519
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    520
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2qd_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    521
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    522
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2qd([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    523
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2qd(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    524
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.apex2qd(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    525
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    526
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    527
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2qd_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    528
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    529
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    530
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.apex2qd(91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    531
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    532
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.apex2qd(-91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    533
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.apex2qd(90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    534
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.apex2qd(-90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    535
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    536
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.apex2qd(90+1e-5, 0, 0), apex_out.apex2qd(90, 0, 0),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    537
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    538
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    539
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    540
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2qd_apexheight_close():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    541
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    542
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.apex2qd(0, 15, 300+1e-6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    543
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    544
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    545
                 | 
                                    
                                                     | 
                
                 | 
                def test_apex2qd_apexheight_over():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    546
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    547
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ApexHeightError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    548
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.apex2qd(0, 15, 301)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    549
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    550
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    551
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    552
                 | 
                                    
                                                     | 
                
                 | 
                # Test the qd2apex() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    553
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    554
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    555
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    556
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    557
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    558
                 | 
                                    
                                                     | 
                
                 | 
                    lat, lon = apex_out.qd2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    559
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose((lat, lon),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    560
                 | 
                                    
                                                     | 
                
                 | 
                                    [59.491381, 15])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    561
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lat) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    562
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(lon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    563
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    564
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    565
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2apex_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    566
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    567
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2apex([60, 60], 15, 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    568
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2apex(60, [15, 15], 100)[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    569
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.qd2apex(60, 15, [100, 100])[0].shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    570
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    571
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    572
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2apex_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    573
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    574
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    575
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.qd2apex(91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    576
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    577
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.qd2apex(-91, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    578
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.qd2apex(90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    579
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.qd2apex(-90, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    580
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    581
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.qd2apex(90+1e-5, 0, 0), apex_out.qd2apex(90, 0, 0),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    582
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    583
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    584
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    585
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2apex_apexheight_close():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    586
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    587
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.qd2apex(0, 15, 300-1e-5),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    588
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.qd2apex(0, 15, 300))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    589
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    590
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    591
                 | 
                                    
                                                     | 
                
                 | 
                def test_qd2apex_apexheight_over():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    592
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    593
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ApexHeightError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    594
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.qd2apex(0, 15, 299)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    595
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    596
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    597
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    598
                 | 
                                    
                                                     | 
                
                 | 
                # Test mlon2mlt()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    599
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    600
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    601
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    602
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    603
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    604
                 | 
                                    
                                                     | 
                
                 | 
                    mlon = apex_out.mlon2mlt(0, dt.datetime(2000, 2, 3, 4, 5, 6))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    605
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(mlon, 23.019629923502603)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    606
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(mlon) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    607
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    608
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    609
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_ssheight():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    610
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    611
                 | 
                                    
                                                     | 
                
                 | 
                    mlt = apex_out.mlon2mlt(0, dt.datetime(2000, 2, 3, 4, 5, 6),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    612
                 | 
                                    
                                                     | 
                
                 | 
                                            ssheight=50*2000)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    613
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(mlt, 23.026712036132814)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    614
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    615
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    616
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_1Darray():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    617
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    618
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt([0, 180],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    619
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    620
                 | 
                                    
                                                     | 
                
                 | 
                                    [23.019261, 11.019261], rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    621
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    622
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    623
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_2Darray():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    624
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    625
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt([[0, 180], [0, 180]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    626
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    627
                 | 
                                    
                                                     | 
                
                 | 
                                    [[23.019261, 11.019261], [23.019261, 11.019261]], rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    628
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    629
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    630
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_diffdates():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    631
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    632
                 | 
                                    
                                                     | 
                
                 | 
                    dtime1 = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    633
                 | 
                                    
                                                     | 
                
                 | 
                    dtime2 = dt.datetime(2000, 2, 3, 5, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    634
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.mlon2mlt(0, dtime1) != apex_out.mlon2mlt(0, dtime2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    635
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    636
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    637
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_offset():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    638
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    639
                 | 
                                    
                                                     | 
                
                 | 
                    date = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    640
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(0, date),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    641
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlon2mlt(-15, date) + 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    642
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(0, date),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    643
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlon2mlt(-10*15, date) + 10)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    644
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    645
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    646
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt_range():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    647
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    648
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(range(0, 361, 30),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    649
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    650
                 | 
                                    
                                                     | 
                
                 | 
                                    [23.01963, 1.01963, 3.01963, 5.01963, 7.01963,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    651
                 | 
                                    
                                                     | 
                
                 | 
                                     9.01963, 11.01963, 13.01963, 15.01963, 17.01963,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    652
                 | 
                                    
                                                     | 
                
                 | 
                                     19.01963, 21.01963, 23.01963],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    653
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    654
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    655
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    656
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    657
                 | 
                                    
                                                     | 
                
                 | 
                # Test mlt2mlon()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    658
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    659
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    660
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    661
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    662
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    663
                 | 
                                    
                                                     | 
                
                 | 
                    mlt = apex_out.mlt2mlon(0, dt.datetime(2000, 2, 3, 4, 5, 6))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    664
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(mlt, 14.705551147460938)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    665
                 | 
                                    
                                                     | 
                
                 | 
                    assert type(mlt) != np.ndarray  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    666
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    667
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    668
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_ssheight():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    669
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    670
                 | 
                                    
                                                     | 
                
                 | 
                    mlt = apex_out.mlt2mlon(0, dt.datetime(2000, 2, 3, 4, 5, 6),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    671
                 | 
                                    
                                                     | 
                
                 | 
                                            ssheight=50*2000)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    672
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(mlt, 14.599319458007812)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    673
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    674
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    675
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_1Darray():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    676
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    677
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon([0, 12],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    678
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    679
                 | 
                                    
                                                     | 
                
                 | 
                                    [14.705551, 194.705551], rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    680
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    681
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    682
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_2Darray():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    683
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    684
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon([[0, 12], [0, 12]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    685
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    686
                 | 
                                    
                                                     | 
                
                 | 
                                    [[14.705551, 194.705551], [14.705551, 194.705551]],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    687
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    688
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    689
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    690
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_diffdates():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    691
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    692
                 | 
                                    
                                                     | 
                
                 | 
                    dtime1 = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    693
                 | 
                                    
                                                     | 
                
                 | 
                    dtime2 = dt.datetime(2000, 2, 3, 5, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    694
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.mlt2mlon(0, dtime1) != apex_out.mlt2mlon(0, dtime2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    695
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    696
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    697
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_offset():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    698
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    699
                 | 
                                    
                                                     | 
                
                 | 
                    date = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    700
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(0, date), apex_out.mlt2mlon(1, date) - 15)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    701
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(0, date),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    702
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out.mlt2mlon(10, date) - 150)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    703
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    704
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    705
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon_range():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    706
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    707
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(range(0, 25, 2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    708
                 | 
                                    
                                                     | 
                
                 | 
                                                      dt.datetime(2000, 2, 3, 4, 5, 6)),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    709
                 | 
                                    
                                                     | 
                
                 | 
                                    [14.705551, 44.705551, 74.705551, 104.705551, 134.705551,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    710
                 | 
                                    
                                                     | 
                
                 | 
                                     164.705551, 194.705551, 224.705551, 254.705551, 284.705551,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    711
                 | 
                                    
                                                     | 
                
                 | 
                                     314.705551, 344.705551, 14.705551],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    712
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    713
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    714
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    715
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    716
                 | 
                                    
                                                     | 
                
                 | 
                # Test mlt/mlon back and forth  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    717
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    718
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    719
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    720
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlon2mlt2mlon():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    721
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    722
                 | 
                                    
                                                     | 
                
                 | 
                    date = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    723
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(0, date), date), 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    724
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(6, date), date), 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    725
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(12, date), date), 12)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    726
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(18, date), date), 18)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    727
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlon2mlt(apex_out.mlt2mlon(24, date), date), 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    728
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    729
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    730
                 | 
                                    
                                                     | 
                
                 | 
                def test_mlt2mlon2mlt():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    731
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    732
                 | 
                                    
                                                     | 
                
                 | 
                    date = dt.datetime(2000, 2, 3, 4, 5, 6)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    733
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(0, date), date), 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    734
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(90, date), date), 90)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    735
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(180, date), date), 180)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    736
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(270, date), date), 270)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    737
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.mlt2mlon(apex_out.mlon2mlt(360, date), date), 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    738
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    739
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    740
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    741
                 | 
                                    
                                                     | 
                
                 | 
                # Test the map_to_height() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    742
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    743
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    744
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    745
                 | 
                                    
                                                     | 
                
                 | 
                def test_map_to_height():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    746
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    747
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, 15, 100, 10000, conjugate=False,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    748
                 | 
                                    
                                                     | 
                
                 | 
                                                           precision=1e-10),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    749
                 | 
                                    
                                                     | 
                
                 | 
                                    (31.841459274291992, 17.916629791259766, 0))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    750
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(30, 170, 100, 500, conjugate=False,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    751
                 | 
                                    
                                                     | 
                
                 | 
                                                           precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    752
                 | 
                                    
                                                     | 
                
                 | 
                                    (25.727252960205078, 169.60546875, 0.00017655163537710905))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    753
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    754
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    755
                 | 
                                    
                                                     | 
                
                 | 
                def test_map_to_height_same_height():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    756
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    757
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, 15, 100, 100, conjugate=False,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    758
                 | 
                                    
                                                     | 
                
                 | 
                                                           precision=1e-10),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    759
                 | 
                                    
                                                     | 
                
                 | 
                                    (60, 15, 3.4150946248701075e-6), rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    760
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    761
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    762
                 | 
                                    
                                                     | 
                
                 | 
                def test_map_to_height_conjugate():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    763
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    764
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, 15, 100, 10000, conjugate=True,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    765
                 | 
                                    
                                                     | 
                
                 | 
                                                           precision=1e-10),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    766
                 | 
                                    
                                                     | 
                
                 | 
                                    (-25.424892425537109, 27.310417175292969,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    767
                 | 
                                    
                                                     | 
                
                 | 
                                     1.2074182222931995e-6))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    768
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(30, 170, 100, 500, conjugate=True,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    769
                 | 
                                    
                                                     | 
                
                 | 
                                                           precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    770
                 | 
                                    
                                                     | 
                
                 | 
                                    (-13.76642894744873, 164.24259948730469,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    771
                 | 
                                    
                                                     | 
                
                 | 
                                     0.00056820799363777041))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    772
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    773
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    774
                 | 
                                    
                                                     | 
                
                 | 
                def test_map_to_height_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    775
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    776
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height([60, 60], 15, 100, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    777
                 | 
                                    
                                                     | 
                
                 | 
                                    ([60]*2, [15]*2, [3.4150946248701075e-6]*2), rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    778
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, [15, 15], 100, 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    779
                 | 
                                    
                                                     | 
                
                 | 
                                    ([60]*2, [15]*2, [3.4150946248701075e-6]*2), rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    780
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, 15, [100, 100], 100),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    781
                 | 
                                    
                                                     | 
                
                 | 
                                    ([60]*2, [15]*2, [3.4150946248701075e-6]*2), rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    782
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_to_height(60, 15, 100, [100, 100]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    783
                 | 
                                    
                                                     | 
                
                 | 
                                    ([60]*2, [15]*2, [3.4150946248701075e-6]*2), rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    784
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    785
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    786
                 | 
                                    
                                                     | 
                
                 | 
                def test_map_to_height_ApexHeightError():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    787
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    788
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ApexHeightError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    789
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.map_to_height(0, 15, 100, 10000)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    790
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    791
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    792
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    793
                 | 
                                    
                                                     | 
                
                 | 
                # Test the map_E_to_height() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    794
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    795
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    796
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    797
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_map_E_to_height():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    798
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    799
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_500 = [0.7115211, 2.3562392, 0.57259707]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    800
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_500_234 = [1.560284, 3.439154, 0.782339]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    801
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_1000 = [0.677964, 2.089811, 0.558601]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    802
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_200_500 = [0.723773, 2.427366, 0.590826]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    803
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_30_100_500 = [0.686265, 2.375296, 0.600594]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    804
                 | 
                                    
                                                     | 
                
                 | 
                    out_70_15_100_500 = [0.727605, 2.180817, 0.291414]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    805
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    806
                 | 
                                    
                                                     | 
                
                 | 
                    # scalar  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    807
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    808
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    809
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500, [2, 3, 4]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    810
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_500_234, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    811
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 100, 1000, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    812
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_1000, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    813
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 200, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    814
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_200_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    815
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 30, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    816
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_30_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    817
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(70, 15, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    818
                 | 
                                    
                                                     | 
                
                 | 
                                    out_70_15_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    819
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    820
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize lat  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    821
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height([60, 70], 15, 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    822
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    823
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_70_15_100_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    824
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    825
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    826
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize lon  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    827
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, [15, 30], 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    828
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    829
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_30_100_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    830
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    831
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    832
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize height  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    833
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, [100, 200], 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    834
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    835
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_200_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    836
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    837
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    838
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize newheight  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    839
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 100, [500, 1000],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    840
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    841
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_100_1000]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    842
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    843
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    844
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize E  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    845
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_E_to_height(60, 15, 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    846
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3], [2, 3, 4]]).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    847
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_100_500_234]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    848
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    849
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    850
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    851
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    852
                 | 
                                    
                                                     | 
                
                 | 
                # Test the map_V_to_height() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    853
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    854
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    855
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    856
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_map_V_to_height():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    857
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    858
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_500 = [0.819719, 2.845114, 0.695437]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    859
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_500_234 = [1.830277, 4.14345, 0.947624]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    860
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_100_1000 = [0.924577, 3.149964, 0.851343]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    861
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_15_200_500 = [0.803882, 2.793206, 0.682839]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    862
                 | 
                                    
                                                     | 
                
                 | 
                    out_60_30_100_500 = [0.761412, 2.878837, 0.736549]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    863
                 | 
                                    
                                                     | 
                
                 | 
                    out_70_15_100_500 = [0.846819, 2.592572, 0.347919]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    864
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    865
                 | 
                                    
                                                     | 
                
                 | 
                    # scalar  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    866
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    867
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    868
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500, [2, 3, 4]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    869
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_500_234, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    870
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 100, 1000, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    871
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_100_1000, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    872
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 200, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    873
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_15_200_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    874
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 30, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    875
                 | 
                                    
                                                     | 
                
                 | 
                                    out_60_30_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    876
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(70, 15, 100, 500, [1, 2, 3]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    877
                 | 
                                    
                                                     | 
                
                 | 
                                    out_70_15_100_500, rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    878
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    879
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize lat  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    880
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height([60, 70], 15, 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    881
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    882
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_70_15_100_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    883
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    884
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    885
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize lon  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    886
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, [15, 30], 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    887
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    888
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_30_100_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    889
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    890
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    891
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize height  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    892
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, [100, 200], 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    893
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    894
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_200_500]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    895
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    896
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    897
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize newheight  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    898
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 100, [500, 1000],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    899
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3]]*2).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    900
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_100_1000]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    901
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    902
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    903
                 | 
                                    
                                                     | 
                
                 | 
                    # vectorize E  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    904
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.map_V_to_height(60, 15, 100, 500,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    905
                 | 
                                    
                                                     | 
                
                 | 
                                                             np.array([[1, 2, 3],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    906
                 | 
                                    
                                                     | 
                
                 | 
                                                                       [2, 3, 4]]).T),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    907
                 | 
                                    
                                                     | 
                
                 | 
                                    np.array([out_60_15_100_500, out_60_15_100_500_234]).T,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    908
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    909
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    910
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    911
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    912
                 | 
                                    
                                                     | 
                
                 | 
                # Test basevectors_qd()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    913
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    914
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    915
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    916
                 | 
                                    
                                                     | 
                
                 | 
                # test coords  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    917
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    918
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_scalar_geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    919
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    920
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='geo'),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    921
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out._basevec(60, 15, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    922
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    923
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    924
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_scalar_apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    925
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    926
                 | 
                                    
                                                     | 
                
                 | 
                    glat, glon, _ = apex_out.apex2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    927
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='apex',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    928
                 | 
                                    
                                                     | 
                
                 | 
                                                            precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    929
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out._basevec(glat, glon, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    930
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    931
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    932
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_scalar_qd():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    933
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    934
                 | 
                                    
                                                     | 
                
                 | 
                    glat, glon, _ = apex_out.qd2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    935
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.basevectors_qd(60, 15, 100, coords='qd',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    936
                 | 
                                    
                                                     | 
                
                 | 
                                                            precision=1e-2),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    937
                 | 
                                    
                                                     | 
                
                 | 
                                    apex_out._basevec(glat, glon, 100))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    938
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    939
                 | 
                                    
                                                     | 
                
                 | 
                # test shapes and vectorization of arguments  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    940
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    941
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    942
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_scalar_shape():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    943
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    944
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_qd(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    945
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    946
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    947
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    948
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    949
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    950
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    951
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_qd([60, 60, 60, 60], 15, 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    952
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    953
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    954
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_qd(60, [15, 15, 15, 15], 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    955
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    956
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    957
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_qd(60, 15, [100, 100, 100, 100], coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    958
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    959
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    960
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    961
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    962
                 | 
                                    
                                                     | 
                
                 | 
                # test array return values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    963
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    964
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_qd_array():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    965
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    966
                 | 
                                    
                                                     | 
                
                 | 
                    f1, f2 = apex_out.basevectors_qd([0, 30], 15, 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    967
                 | 
                                    
                                                     | 
                
                 | 
                    f1_lat0, f2_lat0 = apex_out._basevec(0, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    968
                 | 
                                    
                                                     | 
                
                 | 
                    f1_lat30, f2_lat30 = apex_out._basevec(30, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    969
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 0], f1_lat0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    970
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 0], f2_lat0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    971
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 1], f1_lat30)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    972
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 1], f2_lat30)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    973
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    974
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    975
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    976
                 | 
                                    
                                                     | 
                
                 | 
                # Test basevectors_apex()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    977
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    978
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    979
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    980
                 | 
                                    
                                                     | 
                
                 | 
                # test against return from _geo2apexall for different coords  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    981
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    982
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_scalar_geo():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    983
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    984
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    985
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    986
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex(60, 15, 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    987
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    988
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    989
                 | 
                                    
                                                     | 
                
                 | 
                     e3_) = apex_out._geo2apexall(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    990
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    991
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1, f1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    992
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2, f2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    993
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1, d1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    994
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2, d2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    995
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3, d3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    996
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1, e1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    997
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2, e2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    998
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3, e3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    999
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1000
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    1001
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_basevectors_apex_scalar_apex():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1002
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1003
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1004
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1005
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex(60, 15, 100, coords='apex', precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1006
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1007
                 | 
                                    
                                                     | 
                
                 | 
                    glat, glon, _ = apex_out.apex2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1008
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1009
                 | 
                                    
                                                     | 
                
                 | 
                     e3_) = apex_out._geo2apexall(glat, glon, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1010
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1011
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1, f1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1012
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2, f2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1013
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1, d1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1014
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2, d2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1015
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3, d3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1016
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1, e1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1017
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2, e2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1018
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3, e3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1019
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1020
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    1021
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_basevectors_apex_scalar_qd():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1022
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1023
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1024
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1025
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex(60, 15, 100, coords='qd', precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1026
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1027
                 | 
                                    
                                                     | 
                
                 | 
                    glat, glon, _ = apex_out.qd2geo(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1028
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_, f2_, _, d1_, d2_, d3_, _, e1_, e2_,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1029
                 | 
                                    
                                                     | 
                
                 | 
                     e3_) = apex_out._geo2apexall(glat, glon, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1030
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1031
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1, f1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1032
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2, f2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1033
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1, d1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1034
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2, d2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1035
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3, d3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1036
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1, e1_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1037
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2, e2_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1038
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3, e3_)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1039
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1040
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1041
                 | 
                                    
                                                     | 
                
                 | 
                # test shapes and vectorization of arguments  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1042
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1043
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_scalar_shape():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1044
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1045
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_apex(60, 15, 100, precision=1e-2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1046
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[:2]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1047
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1048
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[2:]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1049
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (3,)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1050
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1051
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1052
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_vectorization():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1053
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1054
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_apex([60, 60, 60, 60], 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1055
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[:2]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1056
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1057
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[2:]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1058
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (3, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1059
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_apex(60, [15, 15, 15, 15], 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1060
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[:2]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1061
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1062
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[2:]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1063
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (3, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1064
                 | 
                                    
                                                     | 
                
                 | 
                    ret = apex_out.basevectors_apex(60, 15, [100, 100, 100, 100])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1065
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[:2]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1066
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (2, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1067
                 | 
                                    
                                                     | 
                
                 | 
                    for r in ret[2:]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1068
                 | 
                                    
                                                     | 
                
                 | 
                        assert r.shape == (3, 4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1069
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1070
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1071
                 | 
                                    
                                                     | 
                
                 | 
                # test correct vectorization of height  | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    1072
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_basevectors_apex_vectorization_height():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1073
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1074
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1075
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex(60, 15, [200, 400], coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1076
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1077
                 | 
                                    
                                                     | 
                
                 | 
                     e3_1) = apex_out._geo2apexall(60, 15, 200)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1078
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_2, f2_2, _, d1_2, d2_2, d3_2, _, e1_2, e2_2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1079
                 | 
                                    
                                                     | 
                
                 | 
                     e3_2) = apex_out._geo2apexall(60, 15, 400)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1080
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1081
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 0], f1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1082
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 0], f2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1083
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1[:, 0], d1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1084
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2[:, 0], d2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1085
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3[:, 0], d3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1086
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1[:, 0], e1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1087
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2[:, 0], e2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1088
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3[:, 0], e3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1089
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1090
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3[:, 0], np.array([-0.088671, -0.018272, 0.993576]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1091
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1092
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1[:, 0], np.array([0.903098, 0.245273, 0.085107]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1093
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1094
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2[:, 0], np.array([-0.103495, 1.072078, 0.01048]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1095
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1096
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3[:, 0], np.array([0, 0, 1.006465]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1097
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1098
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 1], f1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1099
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 1], f2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1100
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1[:, 1], d1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1101
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2[:, 1], d2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1102
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3[:, 1], d3_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1103
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1[:, 1], e1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1104
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2[:, 1], e2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1105
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3[:, 1], e3_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1106
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1107
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3[:, 1], np.array([-0.085415, -0.021176, 0.989645]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1108
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1109
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1[:, 1], np.array([0.902695, 0.246919, 0.083194]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1110
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1111
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2[:, 1], np.array([-0.11051, 1.066094, 0.013274]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1112
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1113
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3[:, 1], np.array([0, 0, 1.010463]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1114
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1115
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1116
                 | 
                                    
                                                     | 
                
                 | 
                # test scalar return values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1117
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1118
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1119
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1120
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1121
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1122
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex(0, 15, 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1123
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1124
                 | 
                                    
                                                     | 
                
                 | 
                     e3_1) = apex_out._geo2apexall(0, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1125
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1126
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1, f1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1127
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2, f2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1128
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1, d1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1129
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2, d2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1130
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3, d3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1131
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1, e1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1132
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2, e2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1133
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3, e3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1134
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1135
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3, np.array([0.092637, -0.245951, 0.938848]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1136
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1, np.array([0.939012, 0.073416, -0.07342]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1137
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2, np.array([0.055389, 1.004155, 0.257594]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1138
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3, np.array([0, 0, 1.065135]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1139
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1140
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1141
                 | 
                                    
                                                     | 
                
                 | 
                # test 1D array return values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1142
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
                | 
                    1143
                 | 
                                    
                                                     | 
                
                View Code Duplication | 
                def test_basevectors_apex_array():  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1144
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1145
                 | 
                                    
                                                     | 
                
                 | 
                    (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1146
                 | 
                                    
                                                     | 
                
                 | 
                     e3) = apex_out.basevectors_apex([0, 30], 15, 100, coords='geo')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1147
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_1, f2_1, _, d1_1, d2_1, d3_1, _, e1_1, e2_1,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1148
                 | 
                                    
                                                     | 
                
                 | 
                     e3_1) = apex_out._geo2apexall(0, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1149
                 | 
                                    
                                                     | 
                
                 | 
                    (_, _, _, _, f1_2, f2_2, _, d1_2, d2_2, d3_2, _, e1_2, e2_2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1150
                 | 
                                    
                                                     | 
                
                 | 
                     e3_2) = apex_out._geo2apexall(30, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1151
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1152
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 0], f1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1153
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 0], f2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1154
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1[:, 0], d1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1155
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2[:, 0], d2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1156
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3[:, 0], d3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1157
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1[:, 0], e1_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1158
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2[:, 0], e2_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1159
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3[:, 0], e3_1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1160
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1161
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3[:, 0], np.array([0.092637, -0.245951, 0.938848]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1162
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1163
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1[:, 0], np.array([0.939012, 0.073416, -0.07342]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1164
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1165
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2[:, 0], np.array([0.055389, 1.004155, 0.257594]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1166
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1167
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3[:, 0], np.array([0, 0, 1.065135]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1168
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1169
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f1[:, 1], f1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1170
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f2[:, 1], f2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1171
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1[:, 1], d1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1172
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2[:, 1], d2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1173
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3[:, 1], d3_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1174
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1[:, 1], e1_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1175
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2[:, 1], e2_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1176
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3[:, 1], e3_2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1177
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1178
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3[:, 1], np.array([-0.036618, -0.071019, 0.861604]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1179
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1180
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1[:, 1], np.array([0.844391, 0.015353, 0.037152]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1181
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1182
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2[:, 1], np.array([0.050808, 1.02131, 0.086342]),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1183
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1184
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3[:, 1], np.array([0, 0, 1.160625]), rtol=1e-4)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1185
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1186
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1187
                 | 
                                    
                                                     | 
                
                 | 
                # test that vectors are calculated correctly  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1188
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1189
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_delta():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1190
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1191
                 | 
                                    
                                                     | 
                
                 | 
                    for lat in range(0, 90, 10):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1192
                 | 
                                    
                                                     | 
                
                 | 
                        for lon in range(0, 360, 15):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1193
                 | 
                                    
                                                     | 
                
                 | 
                            (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1194
                 | 
                                    
                                                     | 
                
                 | 
                             e3) = apex_out.basevectors_apex(lat, lon, 500)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1195
                 | 
                                    
                                                     | 
                
                 | 
                            f = [np.append(f1, 0), np.append(f2, 0), f3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1196
                 | 
                                    
                                                     | 
                
                 | 
                            g = [g1, g2, g3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1197
                 | 
                                    
                                                     | 
                
                 | 
                            d = [d1, d2, d3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1198
                 | 
                                    
                                                     | 
                
                 | 
                            e = [e1, e2, e3]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1199
                 | 
                                    
                                                     | 
                
                 | 
                            for i, j in [(i, j) for i in range(3) for j in range(3)]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1200
                 | 
                                    
                                                     | 
                
                 | 
                                delta = 1 if i == j else 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1201
                 | 
                                    
                                                     | 
                
                 | 
                                assert_allclose(np.sum(f[i]*g[j]), delta, rtol=0, atol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1202
                 | 
                                    
                                                     | 
                
                 | 
                                assert_allclose(np.sum(d[i]*e[j]), delta, rtol=0, atol=1e-5)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1203
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1204
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1205
                 | 
                                    
                                                     | 
                
                 | 
                def test_basevectors_apex_invalid_scalar():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1206
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=10000)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1207
                 | 
                                    
                                                     | 
                
                 | 
                    with warnings.catch_warnings(record=True) as w:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1208
                 | 
                                    
                                                     | 
                
                 | 
                        (f1, f2, f3, g1, g2, g3, d1, d2, d3, e1, e2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1209
                 | 
                                    
                                                     | 
                
                 | 
                         e3) = apex_out.basevectors_apex(0, 0, 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1210
                 | 
                                    
                                                     | 
                
                 | 
                        assert issubclass(w[-1].category, UserWarning)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1211
                 | 
                                    
                                                     | 
                
                 | 
                        assert 'set to -9999 where' in str(w[-1].message)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1212
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1213
                 | 
                                    
                                                     | 
                
                 | 
                    invalid = [-9999, -9999, -9999]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1214
                 | 
                                    
                                                     | 
                
                 | 
                    assert not np.allclose(f1, invalid[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1215
                 | 
                                    
                                                     | 
                
                 | 
                    assert not np.allclose(f2, invalid[:2])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1216
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(f3, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1217
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g1, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1218
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g2, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1219
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(g3, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1220
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d1, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1221
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d2, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1222
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(d3, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1223
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e1, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1224
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e2, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1225
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(e3, invalid)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1226
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1227
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1228
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1229
                 | 
                                    
                                                     | 
                
                 | 
                # Test the get_apex() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1230
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1231
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1232
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1233
                 | 
                                    
                                                     | 
                
                 | 
                def test_get_apex():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1234
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1235
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.get_apex(10), 507.409702543805)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1236
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.get_apex(60), 20313.026999999987)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1237
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1238
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1239
                 | 
                                    
                                                     | 
                
                 | 
                def test_get_apex_invalid_lat():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1240
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1241
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1242
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.get_apex(91)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1243
                 | 
                                    
                                                     | 
                
                 | 
                    with pytest.raises(ValueError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1244
                 | 
                                    
                                                     | 
                
                 | 
                        apex_out.get_apex(-91)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1245
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.get_apex(90)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1246
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.get_apex(-90)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1247
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1248
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.get_apex(90+1e-5), apex_out.get_apex(90),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1249
                 | 
                                    
                                                     | 
                
                 | 
                                    rtol=0, atol=1e-8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1250
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1251
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1252
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1253
                 | 
                                    
                                                     | 
                
                 | 
                # Test the set_epoch() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1254
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1255
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1256
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1257
                 | 
                                    
                                                     | 
                
                 | 
                def test_set_epoch():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1258
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000.2, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1259
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.year, 2000.2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1260
                 | 
                                    
                                                     | 
                
                 | 
                    ret_2000_2_py = apex_out._geo2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1261
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.set_epoch(2000.8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1262
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(apex_out.year, 2000.8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1263
                 | 
                                    
                                                     | 
                
                 | 
                    ret_2000_8_py = apex_out._geo2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1264
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1265
                 | 
                                    
                                                     | 
                
                 | 
                    assert ret_2000_2_py != ret_2000_8_py  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1266
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1267
                 | 
                                    
                                                     | 
                
                 | 
                    fa.loadapxsh(apex_out.datafile, 2000.2)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1268
                 | 
                                    
                                                     | 
                
                 | 
                    ret_2000_2_apex = fa.apxg2all(60, 15, 100, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1269
                 | 
                                    
                                                     | 
                
                 | 
                    fa.loadapxsh(apex_out.datafile, 2000.8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1270
                 | 
                                    
                                                     | 
                
                 | 
                    ret_2000_8_apex = fa.apxg2all(60, 15, 100, 300, 0)[2:4]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1271
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1272
                 | 
                                    
                                                     | 
                
                 | 
                    assert ret_2000_2_apex != ret_2000_8_apex  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1273
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1274
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(ret_2000_2_py, ret_2000_2_apex)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1275
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(ret_2000_8_py, ret_2000_8_apex)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1276
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1277
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1278
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1279
                 | 
                                    
                                                     | 
                
                 | 
                # Test the set_refh() method  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1280
                 | 
                                    
                                                     | 
                
                 | 
                # ============================================================================  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1281
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1282
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1283
                 | 
                                    
                                                     | 
                
                 | 
                def test_set_refh():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1284
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out = Apex(date=2000, refh=300)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1285
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.refh, 300  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1286
                 | 
                                    
                                                     | 
                
                 | 
                    ret_300 = apex_out._geo2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1287
                 | 
                                    
                                                     | 
                
                 | 
                    apex_out.set_refh(500)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1288
                 | 
                                    
                                                     | 
                
                 | 
                    assert apex_out.refh == 500  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1289
                 | 
                                    
                                                     | 
                
                 | 
                    ret_500 = apex_out._geo2apex(60, 15, 100)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1290
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1291
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(ret_300, fa.apxg2all(60, 15, 100, 300, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1292
                 | 
                                    
                                                     | 
                
                 | 
                    assert_allclose(ret_500, fa.apxg2all(60, 15, 100, 500, 0)[2:4])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1293
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1294
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    1295
                 | 
                                    
                                                     | 
                
                 | 
                if __name__ == '__main__':  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    1296
                 | 
                                    
                                                     | 
                
                 | 
                    pytest.main([__file__])  | 
            
            
                                                        
            
                                    
            
            
                | 
                    1297
                 | 
                                    
                                                     | 
                
                 | 
                 |