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                # Copyright (c) 2008-2016 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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                r"""Module to provide unit support.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                This makes use of the :mod:`pint` library and sets up the default settings  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                for good temperature support.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                Attributes  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                units : :class:`pint.UnitRegistry`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    The unit registry used throughout the package. Any use of units in MetPy should  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    import this registry and use it to grab units.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from __future__ import division  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import matplotlib.units as munits  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import numpy as np  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import pint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                import pint.unit  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from .cbook import iterable  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                UndefinedUnitError = pint.UndefinedUnitError  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                units = pint.UnitRegistry(autoconvert_offset_to_baseunit=True)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                # For pint 0.6, this is the best way to define a dimensionless unit. See pint #185  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                units.define(pint.unit.UnitDefinition('percent', '%', (), | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                             pint.converters.ScaleConverter(0.01)))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def concatenate(arrs, axis=0):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Concatenate multiple values into a new unitized object.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    This is essentially a unit-aware version of `numpy.concatenate`. All items  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    must be able to be converted to the same units. If an item has no units, it will be given  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    those of the rest of the collection, without conversion. The first units found in the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    arguments is used as the final output units.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    arrs : Sequence of arrays  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        The items to be joined together  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    axis : integer, optional  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        The array axis along which to join the arrays. Defaults to 0 (the first dimension)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        New container with the value passed in and units corresponding to the first item.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    dest = 'dimensionless'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for a in arrs:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if hasattr(a, 'units'):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            dest = a.units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            break  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    data = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for a in arrs:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        if hasattr(a, 'to'):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            a = a.to(dest).magnitude  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        data.append(np.atleast_1d(a))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return units.Quantity(np.concatenate(data, axis=axis), dest)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def atleast_1d(*arrs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Convert inputs to arrays with at least one dimension.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Scalars are converted to 1-dimensional arrays, whilst other  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    higher-dimensional inputs are preserved. This is a thin wrapper  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    around `numpy.atleast_1d` to preserve units.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    arrs : arbitrary positional arguments  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Input arrays to be converted if necessary  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        A single quantity or a list of quantities, matching the number of inputs.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    mags = [a.magnitude for a in arrs]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    orig_units = [a.units for a in arrs]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ret = np.atleast_1d(*mags)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if len(mags) == 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return units.Quantity(ret, orig_units[0])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return [units.Quantity(m, u) for m, u in zip(ret, orig_units)]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def atleast_2d(*arrs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    r"""Convert inputs to arrays with at least two dimensions.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Scalars and 1-dimensional arrays are converted to 2-dimensional arrays,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    whilst other higher-dimensional inputs are preserved. This is a thin wrapper  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    around `numpy.atleast_2d` to preserve units.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    arrs : arbitrary positional arguments  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        Input arrays to be converted if necessary  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    108
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        A single quantity or a list of quantities, matching the number of inputs.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    mags = [a.magnitude for a in arrs]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    orig_units = [a.units for a in arrs]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ret = np.atleast_2d(*mags)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    if len(mags) == 1:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        return units.Quantity(ret, orig_units[0])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return [units.Quantity(m, u) for m, u in zip(ret, orig_units)]  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def masked_array(data, data_units=None, **kwargs):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    """Create a :class:`numpy.ma.MaskedArray` with units attached.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    This is a thin wrapper around :func:`numpy.ma.masked_array` that ensures that  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    units are properly attached to the result (otherwise units are silently lost). Units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    are taken from the ``units`` argument, or if this is ``None``, the units on ``data``  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    are used.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    Parameters  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    ----------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    data : array_like  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        The source data. If ``units`` is `None`, this should be a `pint.Quantity` with  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        the desired units.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    data_units : str or `pint.Unit`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        The units for the resulting `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
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                    **kwargs : Arbitrary keyword arguments passed to `numpy.ma.masked_array`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
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                | 
                    137
                 | 
                                    
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                    Returns  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                                                     | 
                
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                    -------  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
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                    `pint.Quantity`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
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                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                    if data_units is None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
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                 | 
                        data_units = data.units  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                    return units.Quantity(np.ma.masked_array(data, **kwargs), data_units)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                class PintConverter(munits.ConversionInterface):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
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                 | 
                    """Implement support for pint within matplotlib's unit conversion framework."""  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    148
                 | 
                                    
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                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
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                 | 
                    @staticmethod  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                    def convert(value, unit, axis):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                        """Convert pint :`Quantity` instances for matplotlib to use.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
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                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
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                        Currently only strips off the units to avoid matplotlib errors since we can't reliably  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                        have pint.Quantity instances not decay to numpy arrays.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
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                 | 
                        """  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                                                     | 
                
                 | 
                        if hasattr(value, 'magnitude'):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                                                     | 
                
                 | 
                            return value.magnitude  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                        elif iterable(value):  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
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                 | 
                            try:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                                                     | 
                
                 | 
                                return [v.magnitude for v in value]  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                                                     | 
                
                 | 
                            except AttributeError:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                                                     | 
                
                 | 
                                return value  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                                                     | 
                
                 | 
                        else:  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                                                     | 
                
                 | 
                            return value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                    # TODO: Once we get things properly squared away between pint and everything else  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                    # these will need to be functional.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                    # @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    # def axisinfo(unit, axis):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    #     return None  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                    #  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                    # @staticmethod  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    # def default_units(x, axis):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    #     return x.to_base_units()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                # Register the class  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                munits.registry[units.Quantity] = PintConverter()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                del munits, pint  | 
            
            
                                                        
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 |