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                # Copyright (c) 2017 MetPy Developers.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # Distributed under the terms of the BSD 3-Clause License.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # SPDX-License-Identifier: BSD-3-Clause  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """Test the `indices` module."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from datetime import datetime  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import warnings  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.calc import (bulk_shear, bunkers_storm_motion, mean_pressure_weighted,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                        precipitable_water, significant_tornado, supercell_composite)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.deprecation import MetpyDeprecationWarning  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.io import get_upper_air_data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.io.upperair import UseSampleData  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.testing import assert_almost_equal, assert_array_equal  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from metpy.units import concatenate, units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                warnings.simplefilter('ignore', MetpyDeprecationWarning) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_precipitable_water():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test precipitable water with observed sounding."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    pw = precipitable_water(data.variables['dewpoint'][:], data.variables['pressure'][:])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    truth = (0.8899441949243486 * units('inches')).to('millimeters') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_array_equal(pw, truth)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_mean_pressure_weighted():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test pressure-weighted mean wind function with vertical interpolation."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    u, v = mean_pressure_weighted(data.variables['pressure'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  data.variables['u_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  data.variables['v_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  heights=data.variables['height'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  depth=6000 * units('meter')) | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
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                    assert_almost_equal(u, 6.0208700094534775 * units('m/s'), 7) | 
            
                            
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                    assert_almost_equal(v, 7.966031839967931 * units('m/s'), 7) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_mean_pressure_weighted_backwards():  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    """Test pressure-weighted mean wind function with data in increasing-pressure order."""  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                        
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    u, v = mean_pressure_weighted(data.variables['pressure'][:][::-1],  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                                  data.variables['u_wind'][:][::-1],  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                                  data.variables['v_wind'][:][::-1],  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                                  heights=data.variables['height'][:][::-1],  | 
            
            
                                                                        
                            
            
                                    
            
            
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                                                  depth=6000 * units('meter')) | 
            
            
                                                                        
                            
            
                                    
            
            
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                    assert_almost_equal(u, 6.0208700094534775 * units('m/s'), 7) | 
            
            
                                                                        
                            
            
                                    
            
            
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                    assert_almost_equal(v, 7.966031839967931 * units('m/s'), 7) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_mean_pressure_weighted_elevated():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test pressure-weighted mean wind function with a base above the surface."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    u, v = mean_pressure_weighted(data.variables['pressure'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  data.variables['u_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  data.variables['v_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  heights=data.variables['height'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                  depth=3000 * units('meter'), | 
            
            
                                                                                                            
                            
            
                                                                    
                                                                                                        
            
            
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                                                  bottom=data.variables['height'][0] + 3000 * units('meter')) | 
            
                            
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                    assert_almost_equal(u, 8.270829843626476 * units('m/s'), 7) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(v, 1.7392601775853547 * units('m/s'), 7) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_bunkers_motion():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test Bunkers storm motion with observed sounding."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    motion = concatenate(bunkers_storm_motion(data.variables['pressure'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                         data.variables['u_wind'][:], data.variables['v_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                         data.variables['height'][:]))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    truth = [1.4537892577864744, 2.0169333025630616, 10.587950761120482, 13.915130377372801,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             6.0208700094534775, 7.9660318399679308] * units('m/s') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(motion.flatten(), truth, 8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                View Code Duplication | 
                def test_bulk_shear():  | 
            
                            
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                    """Test bulk shear with observed sounding."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    u, v = bulk_shear(data.variables['pressure'][:], data.variables['u_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                      data.variables['v_wind'][:], heights=data.variables['height'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                      depth=6000 * units('meter')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    truth = [29.899581266946115, -14.389225800205509] * units('knots') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(u.to('knots'), truth[0], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(v.to('knots'), truth[1], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_bulk_shear_backward():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test bulk shear with observed sounding and data in increasing-pressure order."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    u, v = bulk_shear(data.variables['pressure'][:][::-1], data.variables['u_wind'][:][::-1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                      data.variables['v_wind'][:][::-1],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                      heights=data.variables['height'][:][::-1], depth=6000 * units('meter')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    truth = [29.899581266946115, -14.389225800205509] * units('knots') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(u.to('knots'), truth[0], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(v.to('knots'), truth[1], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                View Code Duplication | 
                def test_bulk_shear_no_depth():  | 
            
                            
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                    """Test bulk shear with observed sounding and no depth given. Issue #568."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    u, v = bulk_shear(data.variables['pressure'][:], data.variables['u_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                      data.variables['v_wind'][:], heights=data.variables['height'][:])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    truth = [20.225018939, 22.602359692] * units('knots') | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(u.to('knots'), truth[0], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert_almost_equal(v.to('knots'), truth[1], 8) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def test_bulk_shear_elevated():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Test bulk shear with observed sounding and a base above the surface."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    with UseSampleData():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
                 | 
                                    
                                                     | 
                
                 | 
                        data = get_upper_air_data(datetime(2016, 5, 22, 0), 'DDC', source='wyoming')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    120
                 | 
                                    
                                                     | 
                
                 | 
                    u, v = bulk_shear(data.variables['pressure'][:], data.variables['u_wind'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    121
                 | 
                                    
                                                     | 
                
                 | 
                                      data.variables['v_wind'][:], heights=data.variables['height'][:],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    122
                 | 
                                    
                                                     | 
                
                 | 
                                      bottom=data.variables['height'][0] + 3000 * units('meter'), | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    123
                 | 
                                    
                                                     | 
                
                 | 
                                      depth=3000 * units('meter')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    124
                 | 
                                    
                                                     | 
                
                 | 
                    truth = [0.9655943923302139, -3.8405428777944466] * units('m/s') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
                                                     | 
                
                 | 
                    assert_almost_equal(u, truth[0], 8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                                                     | 
                
                 | 
                    assert_almost_equal(v, truth[1], 8)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                                                     | 
                
                 | 
                def test_supercell_composite():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                    """Test supercell composite function."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                                                     | 
                
                 | 
                    mucape = [2000., 1000., 500., 2000.] * units('J/kg') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                                                     | 
                
                 | 
                    esrh = [400., 150., 45., 45.] * units('m^2/s^2') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                                                     | 
                
                 | 
                    ebwd = [30., 15., 5., 5.] * units('m/s') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                    truth = [16., 2.25, 0., 0.]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                    supercell_comp = supercell_composite(mucape, esrh, ebwd)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                    assert_array_equal(supercell_comp, truth)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                def test_sigtor():  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                    """Test significant tornado parameter function."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    sbcape = [2000., 2000., 2000., 2000., 3000, 4000] * units('J/kg') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                    sblcl = [3000., 1500., 500., 1500., 1500, 800] * units('meter') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    srh1 = [200., 200., 200., 200., 300, 400] * units('m^2/s^2') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                    shr6 = [20., 5., 20., 35., 20., 35] * units('m/s') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                    truth = [0., 0, 1.777778, 1.333333, 2., 10.666667]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                    sigtor = significant_tornado(sbcape, sblcl, srh1, shr6)  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                    assert_almost_equal(sigtor, truth, 6)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                 |