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                # Copyright (c) 2008-2017 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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                """Contains a collection of generally useful calculation tools."""  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import functools  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import warnings  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy.ma as ma  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from scipy.spatial import cKDTree  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from . import height_to_pressure_std, pressure_to_height_std  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ..package_tools import Exporter  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ..units import check_units, units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                exporter = Exporter(globals())  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def resample_nn_1d(a, centers):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Return one-dimensional nearest-neighbor indexes based on user-specified centers.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of numeric values from which to  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        extract indexes of nearest-neighbors  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    centers : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of numeric values representing a subset of values to approximate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        An array of indexes representing values closest to given array values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ix = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for center in centers:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        index = (np.abs(a - center)).argmin()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if index not in ix:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            ix.append(index)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return ix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def nearest_intersection_idx(a, b):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Determine the index of the point just before two lines with common x values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of y-values for line 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    b : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of y-values for line 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        An array of indexes representing the index of the values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        just before the intersection(s) of the two lines.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Difference in the two y-value sets  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    difference = a - b  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Determine the point just before the intersection of the lines  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Will return multiple points for multiple intersections  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    sign_change_idx, = np.nonzero(np.diff(np.sign(difference)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return sign_change_idx  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                @units.wraps(('=A', '=B'), ('=A', '=B', '=B')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def find_intersections(x, a, b, direction='all'):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Calculate the best estimate of intersection.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Calculates the best estimates of the intersection of two y-value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    data sets that share a common x-value set.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    x : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of numeric x-values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of y-values for line 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    b : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        1-dimensional array of y-values for line 2  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    direction : string, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        specifies direction of crossing. 'all', 'increasing' (a becoming greater than b),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        or 'decreasing' (b becoming greater than a). Defaults to 'all'.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        A tuple (x, y) of array-like with the x and y coordinates of the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        intersections of the lines.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Find the index of the points just before the intersection(s)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    nearest_idx = nearest_intersection_idx(a, b)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    next_idx = nearest_idx + 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Determine the sign of the change  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    sign_change = np.sign(a[next_idx] - b[next_idx])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # x-values around each intersection  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, x0 = _next_non_masked_element(x, nearest_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, x1 = _next_non_masked_element(x, next_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # y-values around each intersection for the first line  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, a0 = _next_non_masked_element(a, nearest_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, a1 = _next_non_masked_element(a, next_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # y-values around each intersection for the second line  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, b0 = _next_non_masked_element(b, nearest_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _, b1 = _next_non_masked_element(b, next_idx)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Calculate the x-intersection. This comes from finding the equations of the two lines,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # one through (x0, a0) and (x1, a1) and the other through (x0, b0) and (x1, b1),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # finding their intersection, and reducing with a bunch of algebra.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    delta_y0 = a0 - b0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    delta_y1 = a1 - b1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    intersect_x = (delta_y1 * x0 - delta_y0 * x1) / (delta_y1 - delta_y0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Calculate the y-intersection of the lines. Just plug the x above into the equation  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # for the line through the a points. One could solve for y like x above, but this  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # causes weirder unit behavior and seems a little less good numerically.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    intersect_y = ((intersect_x - x0) / (x1 - x0)) * (a1 - a0) + a0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # If there's no intersections, return  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if len(intersect_x) == 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return intersect_x, intersect_y  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # Check for duplicates  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                    duplicate_mask = (np.ediff1d(intersect_x, to_end=1) != 0)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                                                     | 
                
                 | 
                    # Make a mask based on the direction of sign change desired  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                    if direction == 'increasing':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
                 | 
                        mask = sign_change > 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                    elif direction == 'decreasing':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                        mask = sign_change < 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    elif direction == 'all':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                        return intersect_x[duplicate_mask], intersect_y[duplicate_mask]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Unknown option for direction: {0}'.format(str(direction))) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                    return intersect_x[mask & duplicate_mask], intersect_y[mask & duplicate_mask]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                def interpolate_nans(x, y, kind='linear'):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                    """Interpolate NaN values in y.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                    Interpolate NaN values in the y dimension. Works with unsorted x values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                    x : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        1-dimensional array of numeric x-values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                                                     | 
                
                 | 
                    y : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                        1-dimensional array of numeric y-values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                    kind : string  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                        specifies the kind of interpolation x coordinate - 'linear' or 'log', optional.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                        Defaults to 'linear'.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                        An array of the y coordinate data with NaN values interpolated.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    x_sort_args = np.argsort(x)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                    x = x[x_sort_args]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                    y = y[x_sort_args]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    nans = np.isnan(y)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    if kind == 'linear':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                        y[nans] = np.interp(x[nans], x[~nans], y[~nans])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                    elif kind == 'log':  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                        y[nans] = np.interp(np.log(x[nans]), np.log(x[~nans]), y[~nans])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Unknown option for kind: {0}'.format(str(kind))) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                    return y[x_sort_args]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                def _next_non_masked_element(a, idx):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                    """Return the next non masked element of a masked array.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                    If an array is masked, return the next non-masked element (if the given index is masked).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                    If no other unmasked points are after the given masked point, returns none.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                        1-dimensional array of numeric values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                    idx : integer  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                        index of requested element  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                        Index of next non-masked element and next non-masked element  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                    try:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                        next_idx = idx + a[idx:].mask.argmin()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                        if ma.is_masked(a[next_idx]):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                            return None, None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                            return next_idx, a[next_idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                    except (AttributeError, TypeError, IndexError):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                        return idx, a[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                def delete_masked_points(*arrs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                    """Delete masked points from arrays.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                    Takes arrays and removes masked points to help with calculations and plotting.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                    arrs : one or more array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                        source arrays  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                    arrs : one or more array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                        arrays with masked elements removed  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                    if any(hasattr(a, 'mask') for a in arrs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                        keep = ~functools.reduce(np.logical_or, (np.ma.getmaskarray(a) for a in arrs))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                        return tuple(ma.asarray(a[keep]) for a in arrs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                        return arrs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                def reduce_point_density(points, radius, priority=None):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Return a mask to reduce the density of points in irregularly-spaced data.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                    This function is used to down-sample a collection of scattered points (e.g. surface  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                    data), returning a mask that can be used to select the points from one or more arrays  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                    (e.g. arrays of temperature and dew point). The points selected can be controlled by  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                    providing an array of ``priority`` values (e.g. rainfall totals to ensure that  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                    stations with higher precipitation remain in the mask).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                    points : (N, K) array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                        N locations of the points in K dimensional space  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                    radius : float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                        minimum radius allowed between points  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                    priority : (N, K) array-like, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                        If given, this should have the same shape as ``points``; these values will  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                        be used to control selection priority for points.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                        (N,) array-like of boolean values indicating whether points should be kept. This  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                        can be used directly to index numpy arrays to return only the desired points.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                    Examples  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                    --------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                    >>> metpy.calc.reduce_point_density(np.array([1, 2, 3]), 1.)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                    array([ True, False,  True], dtype=bool)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                    >>> metpy.calc.reduce_point_density(np.array([1, 2, 3]), 1.,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                    ... priority=np.array([0.1, 0.9, 0.3]))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                    array([False,  True, False], dtype=bool)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                    # Handle 1D input  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                    if points.ndim < 2:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                        points = points.reshape(-1, 1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                    # Make a kd-tree to speed searching of data.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                    tree = cKDTree(points)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                    # Need to use sorted indices rather than sorting the position  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                    # so that the keep mask matches *original* order.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                    if priority is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                        # Need to sort the locations in decreasing priority.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                        sorted_indices = np.argsort(priority)[::-1]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                        # Take advantage of iterator nature of range here to avoid making big lists  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                        sorted_indices = range(len(points))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                    # Keep all points initially  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                    keep = np.ones(len(points), dtype=np.bool)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                    # Loop over all the potential points  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                    for ind in sorted_indices:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                        # Only proceed if we haven't already excluded this point  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                        if keep[ind]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                            # Find the neighbors and eliminate them  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                            neighbors = tree.query_ball_point(points[ind], radius)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    293
                 | 
                                    
                                                     | 
                
                 | 
                            keep[neighbors] = False  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    294
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    295
                 | 
                                    
                                                     | 
                
                 | 
                            # We just removed ourselves, so undo that  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    296
                 | 
                                    
                                                     | 
                
                 | 
                            keep[ind] = True  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    297
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    298
                 | 
                                    
                                                     | 
                
                 | 
                    return keep  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    299
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    300
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    301
                 | 
                                    
                                                     | 
                
                 | 
                def _get_bound_pressure_height(pressure, bound, heights=None, interpolate=True):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    302
                 | 
                                    
                                                     | 
                
                 | 
                    """Calculate the bounding pressure and height in a layer.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    303
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    304
                 | 
                                    
                                                     | 
                
                 | 
                    Given pressure, optional heights, and a bound, return either the closest pressure/height  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    305
                 | 
                                    
                                                     | 
                
                 | 
                    or interpolated pressure/height. If no heights are provided, a standard atmosphere is  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    306
                 | 
                                    
                                                     | 
                
                 | 
                    assumed.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    307
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    308
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    309
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    310
                 | 
                                    
                                                     | 
                
                 | 
                    pressure : `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    311
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric pressures  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    312
                 | 
                                    
                                                     | 
                
                 | 
                    bound : `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    313
                 | 
                                    
                                                     | 
                
                 | 
                        Bound to retrieve (in pressure or height)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    314
                 | 
                                    
                                                     | 
                
                 | 
                    heights : `pint.Quantity`, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    315
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric heights associated with the pressure levels. Defaults to using  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    316
                 | 
                                    
                                                     | 
                
                 | 
                        heights calculated from ``pressure`` assuming a standard atmosphere.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    317
                 | 
                                    
                                                     | 
                
                 | 
                    interpolate : boolean, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    318
                 | 
                                    
                                                     | 
                
                 | 
                        Interpolate the bound or return the nearest. Defaults to True.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    319
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    320
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    321
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    322
                 | 
                                    
                                                     | 
                
                 | 
                    `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    323
                 | 
                                    
                                                     | 
                
                 | 
                        The bound pressure and height.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    324
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    325
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    326
                 | 
                                    
                                                     | 
                
                 | 
                    # Bound is given in pressure  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    327
                 | 
                                    
                                                     | 
                
                 | 
                    if bound.dimensionality == {'[length]': -1.0, '[mass]': 1.0, '[time]': -2.0}: | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    328
                 | 
                                    
                                                     | 
                
                 | 
                        # If the bound is in the pressure data, we know the pressure bound exactly  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    329
                 | 
                                    
                                                     | 
                
                 | 
                        if bound in pressure:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    330
                 | 
                                    
                                                     | 
                
                 | 
                            bound_pressure = bound  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    331
                 | 
                                    
                                                     | 
                
                 | 
                            # If we have heights, we know the exact height value, otherwise return standard  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    332
                 | 
                                    
                                                     | 
                
                 | 
                            # atmosphere height for the pressure  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    333
                 | 
                                    
                                                     | 
                
                 | 
                            if heights is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    334
                 | 
                                    
                                                     | 
                
                 | 
                                bound_height = heights[pressure == bound_pressure]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    335
                 | 
                                    
                                                     | 
                
                 | 
                            else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    336
                 | 
                                    
                                                     | 
                
                 | 
                                bound_height = pressure_to_height_std(bound_pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    337
                 | 
                                    
                                                     | 
                
                 | 
                        # If bound is not in the data, return the nearest or interpolated values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    338
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    339
                 | 
                                    
                                                     | 
                
                 | 
                            if interpolate:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    340
                 | 
                                    
                                                     | 
                
                 | 
                                bound_pressure = bound  # Use the user specified bound  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    341
                 | 
                                    
                                                     | 
                
                 | 
                                if heights is not None:  # Interpolate heights from the height data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    342
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = log_interp(bound_pressure, pressure, heights)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    343
                 | 
                                    
                                                     | 
                
                 | 
                                else:  # If not heights given, use the standard atmosphere  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    344
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = pressure_to_height_std(bound_pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    345
                 | 
                                    
                                                     | 
                
                 | 
                            else:  # No interpolation, find the closest values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    346
                 | 
                                    
                                                     | 
                
                 | 
                                idx = (np.abs(pressure - bound)).argmin()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    347
                 | 
                                    
                                                     | 
                
                 | 
                                bound_pressure = pressure[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    348
                 | 
                                    
                                                     | 
                
                 | 
                                if heights is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    349
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = heights[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    350
                 | 
                                    
                                                     | 
                
                 | 
                                else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    351
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = pressure_to_height_std(bound_pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    352
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    353
                 | 
                                    
                                                     | 
                
                 | 
                    # Bound is given in height  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    354
                 | 
                                    
                                                     | 
                
                 | 
                    elif bound.dimensionality == {'[length]': 1.0}: | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    355
                 | 
                                    
                                                     | 
                
                 | 
                        # If there is height data, see if we have the bound or need to interpolate/find nearest  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    356
                 | 
                                    
                                                     | 
                
                 | 
                        if heights is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    357
                 | 
                                    
                                                     | 
                
                 | 
                            if bound in heights:  # Bound is in the height data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    358
                 | 
                                    
                                                     | 
                
                 | 
                                bound_height = bound  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    359
                 | 
                                    
                                                     | 
                
                 | 
                                bound_pressure = pressure[heights == bound]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    360
                 | 
                                    
                                                     | 
                
                 | 
                            else:  # Bound is not in the data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    361
                 | 
                                    
                                                     | 
                
                 | 
                                if interpolate:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    362
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = bound  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    363
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    364
                 | 
                                    
                                                     | 
                
                 | 
                                    # Need to cast back to the input type since interp (up to at least numpy  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    365
                 | 
                                    
                                                     | 
                
                 | 
                                    # 1.13 always returns float64. This can cause upstream users problems,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    366
                 | 
                                    
                                                     | 
                
                 | 
                                    # resulting in something like np.append() to upcast.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    367
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_pressure = np.interp(np.atleast_1d(bound), heights,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    368
                 | 
                                    
                                                     | 
                
                 | 
                                                               pressure).astype(bound.dtype) * pressure.units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    369
                 | 
                                    
                                                     | 
                
                 | 
                                else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    370
                 | 
                                    
                                                     | 
                
                 | 
                                    idx = (np.abs(heights - bound)).argmin()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    371
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_pressure = pressure[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    372
                 | 
                                    
                                                     | 
                
                 | 
                                    bound_height = heights[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    373
                 | 
                                    
                                                     | 
                
                 | 
                        else:  # Don't have heights, so assume a standard atmosphere  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    374
                 | 
                                    
                                                     | 
                
                 | 
                            bound_height = bound  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    375
                 | 
                                    
                                                     | 
                
                 | 
                            bound_pressure = height_to_pressure_std(bound)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    376
                 | 
                                    
                                                     | 
                
                 | 
                            # If interpolation is on, this is all we need, if not, we need to go back and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    377
                 | 
                                    
                                                     | 
                
                 | 
                            # find the pressure closest to this and refigure the bounds  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    378
                 | 
                                    
                                                     | 
                
                 | 
                            if not interpolate:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    379
                 | 
                                    
                                                     | 
                
                 | 
                                idx = (np.abs(pressure - bound_pressure)).argmin()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    380
                 | 
                                    
                                                     | 
                
                 | 
                                bound_pressure = pressure[idx]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    381
                 | 
                                    
                                                     | 
                
                 | 
                                bound_height = pressure_to_height_std(bound_pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    382
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    383
                 | 
                                    
                                                     | 
                
                 | 
                    # Bound has invalid units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    384
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    385
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Bound must be specified in units of length or pressure.') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    386
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    387
                 | 
                                    
                                                     | 
                
                 | 
                    # If the bound is out of the range of the data, we shouldn't extrapolate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    388
                 | 
                                    
                                                     | 
                
                 | 
                    if (bound_pressure < np.min(pressure)) or (bound_pressure > np.max(pressure)):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    389
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Specified bound is outside pressure range.') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    390
                 | 
                                    
                                                     | 
                
                 | 
                    if heights is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    391
                 | 
                                    
                                                     | 
                
                 | 
                        if (bound_height > np.max(heights)) or (bound_height < np.min(heights)):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    392
                 | 
                                    
                                                     | 
                
                 | 
                            raise ValueError('Specified bound is outside height range.') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    393
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    394
                 | 
                                    
                                                     | 
                
                 | 
                    return bound_pressure, bound_height  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    395
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    396
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    397
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    398
                 | 
                                    
                                                     | 
                
                 | 
                @check_units('[length]') | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    399
                 | 
                                    
                                                     | 
                
                 | 
                def get_layer_heights(heights, depth, *args, **kwargs):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    400
                 | 
                                    
                                                     | 
                
                 | 
                    """Return an atmospheric layer from upper air data with the requested bottom and depth.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    401
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    402
                 | 
                                    
                                                     | 
                
                 | 
                    This function will subset an upper air dataset to contain only the specified layer using  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    403
                 | 
                                    
                                                     | 
                
                 | 
                    the heights only.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    404
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    405
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    406
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    407
                 | 
                                    
                                                     | 
                
                 | 
                    heights : array-like  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    408
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric heights  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    409
                 | 
                                    
                                                     | 
                
                 | 
                    depth : `pint.Quantity`  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    410
                 | 
                                    
                                                     | 
                
                 | 
                        The thickness of the layer  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    411
                 | 
                                    
                                                     | 
                
                 | 
                    *args : array-like  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    412
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric variable(s) measured at the given pressures  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    413
                 | 
                                    
                                                     | 
                
                 | 
                    bottom : `pint.Quantity`, optional  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    414
                 | 
                                    
                                                     | 
                
                 | 
                        The bottom of the layer  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    415
                 | 
                                    
                                                     | 
                
                 | 
                    interpolate : bool, optional  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    416
                 | 
                                    
                                                     | 
                
                 | 
                        Interpolate the top and bottom points if they are not in the given data. Defaults  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    417
                 | 
                                    
                                                     | 
                
                 | 
                        to True.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    418
                 | 
                                    
                                                     | 
                
                 | 
                    with_agl : bool, optional  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    419
                 | 
                                    
                                                     | 
                
                 | 
                        Returns the heights as above ground level by subtracting the minimum height in the  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    420
                 | 
                                    
                                                     | 
                
                 | 
                        provided heights. Defaults to False.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    421
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    422
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    423
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    424
                 | 
                                    
                                                     | 
                
                 | 
                    `pint.Quantity, pint.Quantity`  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    425
                 | 
                                    
                                                     | 
                
                 | 
                        The height and data variables of the layer"""  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    426
                 | 
                                    
                                                     | 
                
                 | 
                    bottom = kwargs.pop('bottom', None) | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    427
                 | 
                                    
                                                     | 
                
                 | 
                    interpolate = kwargs.pop('interpolate', True) | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    428
                 | 
                                    
                                                     | 
                
                 | 
                    with_agl = kwargs.pop('with_agl', False) | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    429
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    430
                 | 
                                    
                                                     | 
                
                 | 
                    # Make sure pressure and datavars are the same length  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    431
                 | 
                                    
                                                     | 
                
                 | 
                    for datavar in args:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    432
                 | 
                                    
                                                     | 
                
                 | 
                        if len(heights) != len(datavar):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    433
                 | 
                                    
                                                     | 
                
                 | 
                            raise ValueError('Height and data variables must have the same length.') | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    434
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    435
                 | 
                                    
                                                     | 
                
                 | 
                    # If we want things in AGL, subtract the minimum height from all height values  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    436
                 | 
                                    
                                                     | 
                
                 | 
                    if with_agl:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    437
                 | 
                                    
                                                     | 
                
                 | 
                        sfc_height = np.min(heights)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    438
                 | 
                                    
                                                     | 
                
                 | 
                        heights -= sfc_height  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    439
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    440
                 | 
                                    
                                                     | 
                
                 | 
                    # If the bottom is not specified, make it the surface  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    441
                 | 
                                    
                                                     | 
                
                 | 
                    if bottom is None:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    442
                 | 
                                    
                                                     | 
                
                 | 
                        bottom = heights[0]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    443
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    444
                 | 
                                    
                                                     | 
                
                 | 
                    # Make heights and arguments base units  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    445
                 | 
                                    
                                                     | 
                
                 | 
                    heights = heights.to_base_units()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    446
                 | 
                                    
                                                     | 
                
                 | 
                    bottom = bottom.to_base_units()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    447
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    448
                 | 
                                    
                                                     | 
                
                 | 
                    # Calculate the top of the layer  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    449
                 | 
                                    
                                                     | 
                
                 | 
                    top = bottom + depth  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    450
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    451
                 | 
                                    
                                                     | 
                
                 | 
                    ret = []  # returned data variables in layer  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    452
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    453
                 | 
                                    
                                                     | 
                
                 | 
                    # Ensure heights are sorted in ascending order  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    454
                 | 
                                    
                                                     | 
                
                 | 
                    sort_inds = np.argsort(heights)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    455
                 | 
                                    
                                                     | 
                
                 | 
                    heights = heights[sort_inds]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    456
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    457
                 | 
                                    
                                                     | 
                
                 | 
                    # Mask based on top and bottom  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    458
                 | 
                                    
                                                     | 
                
                 | 
                    inds = (heights >= bottom) & (heights <= top)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    459
                 | 
                                    
                                                     | 
                
                 | 
                    heights_interp = heights[inds]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    460
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    461
                 | 
                                    
                                                     | 
                
                 | 
                    # Interpolate heights at bounds if necessary and sort  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    462
                 | 
                                    
                                                     | 
                
                 | 
                    if interpolate:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    463
                 | 
                                    
                                                     | 
                
                 | 
                        # If we don't have the bottom or top requested, append them  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    464
                 | 
                                    
                                                     | 
                
                 | 
                        if top not in heights_interp:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    465
                 | 
                                    
                                                     | 
                
                 | 
                            heights_interp = np.sort(np.append(heights_interp, top)) * heights.units  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    466
                 | 
                                    
                                                     | 
                
                 | 
                        if bottom not in heights_interp:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    467
                 | 
                                    
                                                     | 
                
                 | 
                            heights_interp = np.sort(np.append(heights_interp, bottom)) * heights.units  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    468
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    469
                 | 
                                    
                                                     | 
                
                 | 
                    ret.append(heights_interp)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    470
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    471
                 | 
                                    
                                                     | 
                
                 | 
                    for datavar in args:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    472
                 | 
                                    
                                                     | 
                
                 | 
                        # Ensure that things are sorted in ascending order  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    473
                 | 
                                    
                                                     | 
                
                 | 
                        datavar = datavar[sort_inds]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    474
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    475
                 | 
                                    
                                                     | 
                
                 | 
                        if interpolate:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    476
                 | 
                                    
                                                     | 
                
                 | 
                            # Interpolate for the possibly missing bottom/top values  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    477
                 | 
                                    
                                                     | 
                
                 | 
                            datavar_interp = interp(heights_interp, heights, datavar)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    478
                 | 
                                    
                                                     | 
                
                 | 
                            datavar = datavar_interp  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    479
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    480
                 | 
                                    
                                                     | 
                
                 | 
                            datavar = datavar[inds]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    481
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    482
                 | 
                                    
                                                     | 
                
                 | 
                        ret.append(datavar)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    483
                 | 
                                    
                                                     | 
                
                 | 
                    return ret  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    484
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    485
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    486
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    487
                 | 
                                    
                                                     | 
                
                 | 
                @check_units('[pressure]') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    488
                 | 
                                    
                                                     | 
                
                 | 
                def get_layer(pressure, *args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    489
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Return an atmospheric layer from upper air data with the requested bottom and depth.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    490
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    491
                 | 
                                    
                                                     | 
                
                 | 
                    This function will subset an upper air dataset to contain only the specified layer. The  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    492
                 | 
                                    
                                                     | 
                
                 | 
                    bottom of the layer can be specified with a pressure or height above the surface  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    493
                 | 
                                    
                                                     | 
                
                 | 
                    pressure. The bottom defaults to the surface pressure. The depth of the layer can be  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    494
                 | 
                                    
                                                     | 
                
                 | 
                    specified in terms of pressure or height above the bottom of the layer. If the top and  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    495
                 | 
                                    
                                                     | 
                
                 | 
                    bottom of the layer are not in the data, they are interpolated by default.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    496
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    497
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    498
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    499
                 | 
                                    
                                                     | 
                
                 | 
                    pressure : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    500
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric pressure profile  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    501
                 | 
                                    
                                                     | 
                
                 | 
                    *args : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    502
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric variable(s) measured at the given pressures  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    503
                 | 
                                    
                                                     | 
                
                 | 
                    heights: array-like, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    504
                 | 
                                    
                                                     | 
                
                 | 
                        Atmospheric heights corresponding to the given pressures. Defaults to using  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    505
                 | 
                                    
                                                     | 
                
                 | 
                        heights calculated from ``p`` assuming a standard atmosphere.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    506
                 | 
                                    
                                                     | 
                
                 | 
                    bottom : `pint.Quantity`, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    507
                 | 
                                    
                                                     | 
                
                 | 
                        The bottom of the layer as a pressure or height above the surface pressure. Defaults  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    508
                 | 
                                    
                                                     | 
                
                 | 
                        to the lowest pressure or height given.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    509
                 | 
                                    
                                                     | 
                
                 | 
                    depth : `pint.Quantity`, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    510
                 | 
                                    
                                                     | 
                
                 | 
                        The thickness of the layer as a pressure or height above the bottom of the layer.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    511
                 | 
                                    
                                                     | 
                
                 | 
                        Defaults to 100 hPa.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    512
                 | 
                                    
                                                     | 
                
                 | 
                    interpolate : bool, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    513
                 | 
                                    
                                                     | 
                
                 | 
                        Interpolate the top and bottom points if they are not in the given data. Defaults  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    514
                 | 
                                    
                                                     | 
                
                 | 
                        to True.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    515
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    516
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    517
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    518
                 | 
                                    
                                                     | 
                
                 | 
                    `pint.Quantity, pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    519
                 | 
                                    
                                                     | 
                
                 | 
                        The pressure and data variables of the layer  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    520
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    521
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    522
                 | 
                                    
                                                     | 
                
                 | 
                    # Pop off keyword arguments  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    523
                 | 
                                    
                                                     | 
                
                 | 
                    heights = kwargs.pop('heights', None) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    524
                 | 
                                    
                                                     | 
                
                 | 
                    bottom = kwargs.pop('bottom', None) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    525
                 | 
                                    
                                                     | 
                
                 | 
                    depth = kwargs.pop('depth', 100 * units.hPa) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    526
                 | 
                                    
                                                     | 
                
                 | 
                    interpolate = kwargs.pop('interpolate', True) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    527
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    528
                 | 
                                    
                                                     | 
                
                 | 
                    # If we get the depth kwarg, but it's None, set it to the default as well  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    529
                 | 
                                    
                                                     | 
                
                 | 
                    if depth is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    530
                 | 
                                    
                                                     | 
                
                 | 
                        depth = 100 * units.hPa  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    531
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    532
                 | 
                                    
                                                     | 
                
                 | 
                    # Make sure pressure and datavars are the same length  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    533
                 | 
                                    
                                                     | 
                
                 | 
                    for datavar in args:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    534
                 | 
                                    
                                                     | 
                
                 | 
                        if len(pressure) != len(datavar):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    535
                 | 
                                    
                                                     | 
                
                 | 
                            raise ValueError('Pressure and data variables must have the same length.') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    536
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    537
                 | 
                                    
                                                     | 
                
                 | 
                    # If the bottom is not specified, make it the surface pressure  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    538
                 | 
                                    
                                                     | 
                
                 | 
                    if bottom is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    539
                 | 
                                    
                                                     | 
                
                 | 
                        bottom = pressure[0]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    540
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    541
                 | 
                                    
                                                     | 
                
                 | 
                    bottom_pressure, bottom_height = _get_bound_pressure_height(pressure, bottom,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    542
                 | 
                                    
                                                     | 
                
                 | 
                                                                                heights=heights,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    543
                 | 
                                    
                                                     | 
                
                 | 
                                                                                interpolate=interpolate)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    544
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    545
                 | 
                                    
                                                     | 
                
                 | 
                    # Calculate the top if whatever units depth is in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    546
                 | 
                                    
                                                     | 
                
                 | 
                    if depth.dimensionality == {'[length]': -1.0, '[mass]': 1.0, '[time]': -2.0}: | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    547
                 | 
                                    
                                                     | 
                
                 | 
                        top = bottom_pressure - depth  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    548
                 | 
                                    
                                                     | 
                
                 | 
                    elif depth.dimensionality == {'[length]': 1}: | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    549
                 | 
                                    
                                                     | 
                
                 | 
                        top = bottom_height + depth  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    550
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    551
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Depth must be specified in units of length or pressure') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    552
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    553
                 | 
                                    
                                                     | 
                
                 | 
                    top_pressure, _ = _get_bound_pressure_height(pressure, top, heights=heights,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    554
                 | 
                                    
                                                     | 
                
                 | 
                                                                 interpolate=interpolate)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    555
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    556
                 | 
                                    
                                                     | 
                
                 | 
                    ret = []  # returned data variables in layer  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    557
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    558
                 | 
                                    
                                                     | 
                
                 | 
                    # Ensure pressures are sorted in ascending order  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    559
                 | 
                                    
                                                     | 
                
                 | 
                    sort_inds = np.argsort(pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    560
                 | 
                                    
                                                     | 
                
                 | 
                    pressure = pressure[sort_inds]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    561
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    562
                 | 
                                    
                                                     | 
                
                 | 
                    # Mask based on top and bottom pressure  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    563
                 | 
                                    
                                                     | 
                
                 | 
                    inds = (pressure <= bottom_pressure) & (pressure >= top_pressure)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    564
                 | 
                                    
                                                     | 
                
                 | 
                    p_interp = pressure[inds]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    565
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    566
                 | 
                                    
                                                     | 
                
                 | 
                    # Interpolate pressures at bounds if necessary and sort  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    567
                 | 
                                    
                                                     | 
                
                 | 
                    if interpolate:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    568
                 | 
                                    
                                                     | 
                
                 | 
                        # If we don't have the bottom or top requested, append them  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    569
                 | 
                                    
                                                     | 
                
                 | 
                        if top_pressure not in p_interp:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    570
                 | 
                                    
                                                     | 
                
                 | 
                            p_interp = np.sort(np.append(p_interp, top_pressure)) * pressure.units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    571
                 | 
                                    
                                                     | 
                
                 | 
                        if bottom_pressure not in p_interp:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    572
                 | 
                                    
                                                     | 
                
                 | 
                            p_interp = np.sort(np.append(p_interp, bottom_pressure)) * pressure.units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    573
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    574
                 | 
                                    
                                                     | 
                
                 | 
                    ret.append(p_interp[::-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    575
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    576
                 | 
                                    
                                                     | 
                
                 | 
                    for datavar in args:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    577
                 | 
                                    
                                                     | 
                
                 | 
                        # Ensure that things are sorted in ascending order  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    578
                 | 
                                    
                                                     | 
                
                 | 
                        datavar = datavar[sort_inds]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    579
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    580
                 | 
                                    
                                                     | 
                
                 | 
                        if interpolate:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    581
                 | 
                                    
                                                     | 
                
                 | 
                            # Interpolate for the possibly missing bottom/top values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    582
                 | 
                                    
                                                     | 
                
                 | 
                            datavar_interp = log_interp(p_interp, pressure, datavar)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    583
                 | 
                                    
                                                     | 
                
                 | 
                            datavar = datavar_interp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    584
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    585
                 | 
                                    
                                                     | 
                
                 | 
                            datavar = datavar[inds]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    586
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    587
                 | 
                                    
                                                     | 
                
                 | 
                        ret.append(datavar[::-1])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    588
                 | 
                                    
                                                     | 
                
                 | 
                    return ret  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    589
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    590
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    591
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    592
                 | 
                                    
                                                     | 
                
                 | 
                @units.wraps(None, ('=A', '=A')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    593
                 | 
                                    
                                                     | 
                
                 | 
                def interp(x, xp, *args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    594
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Interpolates data with any shape over a specified axis.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    595
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    596
                 | 
                                    
                                                     | 
                
                 | 
                    Interpolation over a specified axis for arrays of any shape.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    597
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    598
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    599
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    600
                 | 
                                    
                                                     | 
                
                 | 
                    x : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    601
                 | 
                                    
                                                     | 
                
                 | 
                        1-D array of desired interpolated values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    602
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    603
                 | 
                                    
                                                     | 
                
                 | 
                    xp : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    604
                 | 
                                    
                                                     | 
                
                 | 
                        The x-coordinates of the data points.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    605
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    606
                 | 
                                    
                                                     | 
                
                 | 
                    args : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    607
                 | 
                                    
                                                     | 
                
                 | 
                        The data to be interpolated. Can be multiple arguments, all must be the same shape as  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    608
                 | 
                                    
                                                     | 
                
                 | 
                        xp.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    609
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    610
                 | 
                                    
                                                     | 
                
                 | 
                    axis : int, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    611
                 | 
                                    
                                                     | 
                
                 | 
                        The axis to interpolate over. Defaults to 0.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    612
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    613
                 | 
                                    
                                                     | 
                
                 | 
                    fill_value: float, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    614
                 | 
                                    
                                                     | 
                
                 | 
                        Specify handling of interpolation points out of data bounds. If None, will return  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    615
                 | 
                                    
                                                     | 
                
                 | 
                        ValueError if points are out of bounds. Defaults to nan.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    616
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    617
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    618
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    619
                 | 
                                    
                                                     | 
                
                 | 
                    array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    620
                 | 
                                    
                                                     | 
                
                 | 
                        Interpolated values for each point with coordinates sorted in ascending order.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    621
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    622
                 | 
                                    
                                                     | 
                
                 | 
                    Examples  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    623
                 | 
                                    
                                                     | 
                
                 | 
                    --------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    624
                 | 
                                    
                                                     | 
                
                 | 
                     >>> x = np.array([1., 2., 3., 4.])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    625
                 | 
                                    
                                                     | 
                
                 | 
                     >>> y = np.array([1., 2., 3., 4.])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    626
                 | 
                                    
                                                     | 
                
                 | 
                     >>> x_interp = np.array([2.5, 3.5])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    627
                 | 
                                    
                                                     | 
                
                 | 
                     >>> metpy.calc.interp(x_interp, x, y)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    628
                 | 
                                    
                                                     | 
                
                 | 
                     array([ 2.5,  3.5])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    629
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    630
                 | 
                                    
                                                     | 
                
                 | 
                    Notes  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    631
                 | 
                                    
                                                     | 
                
                 | 
                    -----  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    632
                 | 
                                    
                                                     | 
                
                 | 
                    xp and args must be the same shape.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    633
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    634
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    635
                 | 
                                    
                                                     | 
                
                 | 
                    # Pull out keyword args  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    636
                 | 
                                    
                                                     | 
                
                 | 
                    fill_value = kwargs.pop('fill_value', np.nan) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    637
                 | 
                                    
                                                     | 
                
                 | 
                    axis = kwargs.pop('axis', 0) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    638
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    639
                 | 
                                    
                                                     | 
                
                 | 
                    # Make x an array  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    640
                 | 
                                    
                                                     | 
                
                 | 
                    x = np.asanyarray(x).reshape(-1)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    641
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    642
                 | 
                                    
                                                     | 
                
                 | 
                    # Save number of dimensions in xp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    643
                 | 
                                    
                                                     | 
                
                 | 
                    ndim = xp.ndim  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    644
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    645
                 | 
                                    
                                                     | 
                
                 | 
                    # Sort input data  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    646
                 | 
                                    
                                                     | 
                
                 | 
                    sort_args = np.argsort(xp, axis=axis)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    647
                 | 
                                    
                                                     | 
                
                 | 
                    sort_x = np.argsort(x)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    648
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    649
                 | 
                                    
                                                     | 
                
                 | 
                    # indices for sorting  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    650
                 | 
                                    
                                                     | 
                
                 | 
                    sorter = broadcast_indices(xp, sort_args, ndim, axis)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    651
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    652
                 | 
                                    
                                                     | 
                
                 | 
                    # sort xp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    653
                 | 
                                    
                                                     | 
                
                 | 
                    xp = xp[sorter]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    654
                 | 
                                    
                                                     | 
                
                 | 
                    # Ensure pressure in increasing order  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    655
                 | 
                                    
                                                     | 
                
                 | 
                    variables = [arr[sorter] for arr in args]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    656
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    657
                 | 
                                    
                                                     | 
                
                 | 
                    # Make x broadcast with xp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    658
                 | 
                                    
                                                     | 
                
                 | 
                    x_array = x[sort_x]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    659
                 | 
                                    
                                                     | 
                
                 | 
                    expand = [np.newaxis] * ndim  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    660
                 | 
                                    
                                                     | 
                
                 | 
                    expand[axis] = slice(None)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    661
                 | 
                                    
                                                     | 
                
                 | 
                    x_array = x_array[expand]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    662
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    663
                 | 
                                    
                                                     | 
                
                 | 
                    # Calculate value above interpolated value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    664
                 | 
                                    
                                                     | 
                
                 | 
                    minv = np.apply_along_axis(np.searchsorted, axis, xp, x[sort_x])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    665
                 | 
                                    
                                                     | 
                
                 | 
                    minv2 = np.copy(minv)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    666
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    667
                 | 
                                    
                                                     | 
                
                 | 
                    # If fill_value is none and data is out of bounds, raise value error  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    668
                 | 
                                    
                                                     | 
                
                 | 
                    if ((np.max(minv) == xp.shape[axis]) or (np.min(minv) == 0)) and fill_value is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    669
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError('Interpolation point out of data bounds encountered') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    670
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    671
                 | 
                                    
                                                     | 
                
                 | 
                    # Warn if interpolated values are outside data bounds, will make these the values  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    672
                 | 
                                    
                                                     | 
                
                 | 
                    # at end of data range.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    673
                 | 
                                    
                                                     | 
                
                 | 
                    if np.max(minv) == xp.shape[axis]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    674
                 | 
                                    
                                                     | 
                
                 | 
                        warnings.warn('Interpolation point out of data bounds encountered') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    675
                 | 
                                    
                                                     | 
                
                 | 
                        minv2[minv == xp.shape[axis]] = xp.shape[axis] - 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    676
                 | 
                                    
                                                     | 
                
                 | 
                    if np.min(minv) == 0:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    677
                 | 
                                    
                                                     | 
                
                 | 
                        minv2[minv == 0] = 1  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    678
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    679
                 | 
                                    
                                                     | 
                
                 | 
                    # Get indices for broadcasting arrays  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    680
                 | 
                                    
                                                     | 
                
                 | 
                    above = broadcast_indices(xp, minv2, ndim, axis)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    681
                 | 
                                    
                                                     | 
                
                 | 
                    below = broadcast_indices(xp, minv2 - 1, ndim, axis)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    682
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    683
                 | 
                                    
                                                     | 
                
                 | 
                    if np.any(x_array < xp[below]):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    684
                 | 
                                    
                                                     | 
                
                 | 
                        warnings.warn('Interpolation point out of data bounds encountered') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    685
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    686
                 | 
                                    
                                                     | 
                
                 | 
                    # Create empty output list  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    687
                 | 
                                    
                                                     | 
                
                 | 
                    ret = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    688
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    689
                 | 
                                    
                                                     | 
                
                 | 
                    # Calculate interpolation for each variable  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    690
                 | 
                                    
                                                     | 
                
                 | 
                    for var in variables:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    691
                 | 
                                    
                                                     | 
                
                 | 
                        var_interp = var[below] + ((x_array - xp[below]) /  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    692
                 | 
                                    
                                                     | 
                
                 | 
                                                   (xp[above] - xp[below])) * (var[above] -  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    693
                 | 
                                    
                                                     | 
                
                 | 
                                                                               var[below])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    694
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    695
                 | 
                                    
                                                     | 
                
                 | 
                        # Set points out of bounds to fill value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    696
                 | 
                                    
                                                     | 
                
                 | 
                        var_interp[minv == xp.shape[axis]] = fill_value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    697
                 | 
                                    
                                                     | 
                
                 | 
                        var_interp[x_array < xp[below]] = fill_value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    698
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    699
                 | 
                                    
                                                     | 
                
                 | 
                        # Check for input points in decreasing order and return output to match.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    700
                 | 
                                    
                                                     | 
                
                 | 
                        if x[0] > x[-1]:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    701
                 | 
                                    
                                                     | 
                
                 | 
                            var_interp = np.swapaxes(np.swapaxes(var_interp, 0, axis)[::-1], 0, axis)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    702
                 | 
                                    
                                                     | 
                
                 | 
                        # Output to list  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    703
                 | 
                                    
                                                     | 
                
                 | 
                        ret.append(var_interp)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    704
                 | 
                                    
                                                     | 
                
                 | 
                    if len(ret) == 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    705
                 | 
                                    
                                                     | 
                
                 | 
                        return ret[0]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    706
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    707
                 | 
                                    
                                                     | 
                
                 | 
                        return ret  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    708
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    709
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    710
                 | 
                                    
                                                     | 
                
                 | 
                def broadcast_indices(x, minv, ndim, axis):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    711
                 | 
                                    
                                                     | 
                
                 | 
                    """Calculate index values to properly broadcast index array within data array.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    712
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    713
                 | 
                                    
                                                     | 
                
                 | 
                    See usage in interp.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    714
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    715
                 | 
                                    
                                                     | 
                
                 | 
                    ret = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    716
                 | 
                                    
                                                     | 
                
                 | 
                    for dim in range(ndim):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    717
                 | 
                                    
                                                     | 
                
                 | 
                        if dim == axis:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    718
                 | 
                                    
                                                     | 
                
                 | 
                            ret.append(minv)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    719
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    720
                 | 
                                    
                                                     | 
                
                 | 
                            broadcast_slice = [np.newaxis] * ndim  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    721
                 | 
                                    
                                                     | 
                
                 | 
                            broadcast_slice[dim] = slice(None)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    722
                 | 
                                    
                                                     | 
                
                 | 
                            dim_inds = np.arange(x.shape[dim])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    723
                 | 
                                    
                                                     | 
                
                 | 
                            ret.append(dim_inds[broadcast_slice])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    724
                 | 
                                    
                                                     | 
                
                 | 
                    return ret  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    725
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    726
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    727
                 | 
                                    
                                                     | 
                
                 | 
                @exporter.export  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    728
                 | 
                                    
                                                     | 
                
                 | 
                @units.wraps(None, ('=A', '=A')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    729
                 | 
                                    
                                                     | 
                
                 | 
                def log_interp(x, xp, *args, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    730
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Interpolates data with logarithmic x-scale over a specified axis.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    731
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    732
                 | 
                                    
                                                     | 
                
                 | 
                    Interpolation on a logarithmic x-scale for interpolation values in pressure coordintates.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    733
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    734
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    735
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    736
                 | 
                                    
                                                     | 
                
                 | 
                    x : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    737
                 | 
                                    
                                                     | 
                
                 | 
                        1-D array of desired interpolated values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    738
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    739
                 | 
                                    
                                                     | 
                
                 | 
                    xp : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    740
                 | 
                                    
                                                     | 
                
                 | 
                        The x-coordinates of the data points.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    741
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    742
                 | 
                                    
                                                     | 
                
                 | 
                    args : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    743
                 | 
                                    
                                                     | 
                
                 | 
                        The data to be interpolated. Can be multiple arguments, all must be the same shape as  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    744
                 | 
                                    
                                                     | 
                
                 | 
                        xp.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    745
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    746
                 | 
                                    
                                                     | 
                
                 | 
                    axis : int, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    747
                 | 
                                    
                                                     | 
                
                 | 
                        The axis to interpolate over. Defaults to 0.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    748
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    749
                 | 
                                    
                                                     | 
                
                 | 
                    fill_value: float, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    750
                 | 
                                    
                                                     | 
                
                 | 
                        Specify handling of interpolation points out of data bounds. If None, will return  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    751
                 | 
                                    
                                                     | 
                
                 | 
                        ValueError if points are out of bounds. Defaults to nan.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    752
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    753
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    754
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    755
                 | 
                                    
                                                     | 
                
                 | 
                    array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    756
                 | 
                                    
                                                     | 
                
                 | 
                        Interpolated values for each point with coordinates sorted in ascending order.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    757
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    758
                 | 
                                    
                                                     | 
                
                 | 
                    Examples  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    759
                 | 
                                    
                                                     | 
                
                 | 
                     --------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    760
                 | 
                                    
                                                     | 
                
                 | 
                     >>> x_log = np.array([1e3, 1e4, 1e5, 1e6])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    761
                 | 
                                    
                                                     | 
                
                 | 
                     >>> y_log = np.log(x_log) * 2 + 3  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    762
                 | 
                                    
                                                     | 
                
                 | 
                     >>> x_interp = np.array([5e3, 5e4, 5e5])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    763
                 | 
                                    
                                                     | 
                
                 | 
                     >>> metpy.calc.log_interp(x_interp, x_log, y_log)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    764
                 | 
                                    
                                                     | 
                
                 | 
                     array([ 20.03438638,  24.63955657,  29.24472675])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    765
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    766
                 | 
                                    
                                                     | 
                
                 | 
                    Notes  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    767
                 | 
                                    
                                                     | 
                
                 | 
                    -----  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    768
                 | 
                                    
                                                     | 
                
                 | 
                    xp and args must be the same shape.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    769
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    770
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    771
                 | 
                                    
                                                     | 
                
                 | 
                    # Pull out kwargs  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    772
                 | 
                                    
                                                     | 
                
                 | 
                    fill_value = kwargs.pop('fill_value', np.nan) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    773
                 | 
                                    
                                                     | 
                
                 | 
                    axis = kwargs.pop('axis', 0) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    774
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    775
                 | 
                                    
                                                     | 
                
                 | 
                    # Log x and xp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    776
                 | 
                                    
                                                     | 
                
                 | 
                    log_x = np.log(x)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    777
                 | 
                                    
                                                     | 
                
                 | 
                    log_xp = np.log(xp)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    778
                 | 
                                    
                                                     | 
                
                 | 
                    return interp(log_x, log_xp, *args, axis=axis, fill_value=fill_value)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    779
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    780
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    781
                 | 
                                    
                                                     | 
                
                 | 
                def _greater_or_close(a, value, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    782
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Compare values for greater or close to boolean masks.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    783
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    784
                 | 
                                    
                                                     | 
                
                 | 
                    Returns a boolean mask for values greater than or equal to a target within a specified  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    785
                 | 
                                    
                                                     | 
                
                 | 
                    absolute or relative tolerance (as in :func:`numpy.isclose`).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    786
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    787
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    788
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    789
                 | 
                                    
                                                     | 
                
                 | 
                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    790
                 | 
                                    
                                                     | 
                
                 | 
                        Array of values to be compared  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    791
                 | 
                                    
                                                     | 
                
                 | 
                    value : float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    792
                 | 
                                    
                                                     | 
                
                 | 
                        Comparison value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    793
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    794
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    795
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    796
                 | 
                                    
                                                     | 
                
                 | 
                    array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    797
                 | 
                                    
                                                     | 
                
                 | 
                        Boolean array where values are greater than or nearly equal to value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    798
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    799
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    800
                 | 
                                    
                                                     | 
                
                 | 
                    return np.greater(a, value) | np.isclose(a, value, **kwargs)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    801
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    802
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    803
                 | 
                                    
                                                     | 
                
                 | 
                def _less_or_close(a, value, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    804
                 | 
                                    
                                                     | 
                
                 | 
                    r"""Compare values for less or close to boolean masks.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    805
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    806
                 | 
                                    
                                                     | 
                
                 | 
                    Returns a boolean mask for values less than or equal to a target within a specified  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    807
                 | 
                                    
                                                     | 
                
                 | 
                    absolute or relative tolerance (as in :func:`numpy.isclose`).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    808
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    809
                 | 
                                    
                                                     | 
                
                 | 
                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    810
                 | 
                                    
                                                     | 
                
                 | 
                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    811
                 | 
                                    
                                                     | 
                
                 | 
                    a : array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    812
                 | 
                                    
                                                     | 
                
                 | 
                        Array of values to be compared  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    813
                 | 
                                    
                                                     | 
                
                 | 
                    value : float  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    814
                 | 
                                    
                                                     | 
                
                 | 
                        Comparison value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    815
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    816
                 | 
                                    
                                                     | 
                
                 | 
                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    817
                 | 
                                    
                                                     | 
                
                 | 
                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    818
                 | 
                                    
                                                     | 
                
                 | 
                    array-like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    819
                 | 
                                    
                                                     | 
                
                 | 
                        Boolean array where values are less than or nearly equal to value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    820
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    821
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    822
                 | 
                                    
                                                     | 
                
                 | 
                    return np.less(a, value) | np.isclose(a, value, **kwargs)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    823
                 | 
                                    
                                                     | 
                
                 | 
                 |