How to use the pygeodesy.named._NamedTuple function in PyGeodesy

class Destination2Tuple(_NamedTuple):  # .ellipsoidalKarney.py, -Vincenty.py
    '''2-Tuple C{(destination, final)}, C{destination} in C{LatLon}
       and C{final} bearing in compass C{degrees360}.
    '''
    _Names_ = ('destination', _final_)


class Destination3Tuple(_NamedTuple):  # .karney.py
    '''3-Tuple C{(lat, lon, final)}, destination C{lat}, C{lon} in
       and C{final} bearing in C{degrees}.
    '''
    _Names_ = (_lat_, _lon_, _final_)


class Distance2Tuple(_NamedTuple):  # .datum.py, .ellipsoidalBase.py
    '''2-Tuple C{(distance, initial)}, C{distance} in C{meter} and
       C{initial} bearing in compass C{degrees360}.
    '''
    _Names_ = (_distance_, _initial_)


class Distance3Tuple(_NamedTuple):  # .ellipsoidalKarney.py, -Vincenty.py
    '''3-Tuple C{(distance, initial, final)}, C{distance} in C{meter}
       and C{initial} and C{final} bearing, both in compass C{degrees360}.
    '''
    _Names_ = (_distance_, _initial_, _final_)


class Distance4Tuple(_NamedTuple):  # .formy.py, .points.py
    '''4-Tuple C{(distance2, delta_lat, delta_lon, unroll_lon2)} with
       the distance in C{degrees squared}, the latitudinal C{delta_lat}

is C{""} or the (longitudinal) UTM band C{'C'|'D'..'W'|'X'}
       or the (polar) UPS band C{'A'|'B'|'Y'|'Z'}.
    '''
    _Names_ = (_zone_, _hemipole_, _easting_, _northing_,
               _band_, _datum_, _convergence_, _scale_)

    def __new__(cls, z, h, e, n, B, d, c, s, Error=None):
        if Error is not None:
            e = Easting( e, Error=Error)
            n = Northing(n, Error=Error)
            c = Scalar(c, name=_convergence_, Error=Error)
            s = Scalar(s, name=_scale_, Error=Error)
        return _NamedTuple.__new__(cls, z, h, e, n, B, d, c, s)


class UtmUpsLatLon5Tuple(_NamedTuple):
    '''5-Tuple C{(zone, band, hemipole, lat, lon)} as C{int},
       C{str}, C{str}, C{degrees90} and C{degrees180}, where
       C{zone} is C{1..60} for UTM or C{0} for UPS, C{band} is
       C{""} or the (longitudinal) UTM band C{'C'|'D'..'W'|'X'}
       or (polar) UPS band C{'A'|'B'|'Y'|'Z'} and C{hemipole}
       C{'N'|'S'} is the UTM hemisphere or the UPS pole.
    '''
    _Names_ = (_zone_, _band_, _hemipole_, _lat_, _lon_)

    def __new__(cls, z, B, h, lat, lon, Error=None):
        if Error is not None:
            lat = Lat(lat, Error=Error)
            lon = Lon(lon, Error=Error)
        return _NamedTuple.__new__(cls, z, B, h, lat, lon)

class Distance4Tuple(_NamedTuple):  # .formy.py, .points.py
    '''4-Tuple C{(distance2, delta_lat, delta_lon, unroll_lon2)} with
       the distance in C{degrees squared}, the latitudinal C{delta_lat}
       = B{C{lat2}}-B{C{lat1}}, the wrapped, unrolled and adjusted
       longitudinal C{delta_lon} = B{C{lon2}}-B{C{lon1}} and the
       C{unroll_lon2} unrollment for B{C{lon2}}.

       @note: Use Function L{degrees2m} to convert C{degrees squared}
              to C{meter} as M{degrees2m(sqrt(distance2), ...)} or
              M{degrees2m(hypot(delta_lat, delta_lon), ...)}.
    '''
    _Names_ = ('distance2', 'delta_lat', 'delta_lon', 'unroll_lon2')


class EasNor2Tuple(_NamedTuple):  # .css.py, .osgr.py, .ups.py, .utm.py, .utmupsBase.py
    '''2-Tuple C{(easting, northing)}, both in C{meter}.
    '''
    _Names_ = (_easting_, _northing_)


class EasNor3Tuple(_NamedTuple):  # .css.py, .lcc.py
    '''3-Tuple C{(easting, northing, height)}, all in C{meter}.
    '''
    _Names_ = (_easting_, _northing_, _height_)


class LatLon2Tuple(_NamedTuple):
    '''2-Tuple C{(lat, lon)} in C{degrees90} and C{degrees180}.
    '''
    _Names_ = (_lat_, _lon_)

C{str}, C{meter}, C{meter} and C{band} letter, where C{zone}
       is C{1..60} for UTM or C{0} for UPS, C{hemipole} C{'N'|'S'} is
       the UTM hemisphere or the UPS pole and C{band} is C{""} or the
       (longitudinal) UTM band C{'C'|'D'..'W'|'X'} or the (polar) UPS
       band C{'A'|'B'|'Y'|'Z'}.
    '''
    _Names_ = (_zone_, _hemipole_, _easting_, _northing_, _band_)

    def __new__(cls, z, h, e, n, B, Error=None):
        if Error is not None:
            e = Easting( e, Error=Error)
            n = Northing(n, Error=Error)
        return _NamedTuple.__new__(cls, z, h, e, n, B)


class UtmUps8Tuple(_NamedTuple):
    '''8-Tuple C{(zone, hemipole, easting, northing, band, datum,
       convergence, scale)} as C{int}, C{str}, C{meter}, C{meter},
       C{band} letter, C{Datum}, C{degrees} and C{float}, where
       C{zone} is C{1..60} for UTM or C{0} for UPS, C{hemipole}
       C{'N'|'S'} is the UTM hemisphere or the UPS pole and C{band}
       is C{""} or the (longitudinal) UTM band C{'C'|'D'..'W'|'X'}
       or the (polar) UPS band C{'A'|'B'|'Y'|'Z'}.
    '''
    _Names_ = (_zone_, _hemipole_, _easting_, _northing_,
               _band_, _datum_, _convergence_, _scale_)

    def __new__(cls, z, h, e, n, B, d, c, s, Error=None):
        if Error is not None:
            e = Easting( e, Error=Error)
            n = Northing(n, Error=Error)
            c = Scalar(c, name=_convergence_, Error=Error)

def to4Tuple(self, height, datum):
        '''Extend this L{PhiLam2Tuple} to a L{PhiLam4Tuple}.

           @arg height: The height to add (C{scalar}).
           @arg datum: The datum to add (C{Datum}).

           @return: A L{PhiLam4Tuple}C{(phi, lam, height, datum)}.

           @raise TypeError: If B{C{datum}} not a C{Datum}.

           @raise ValueError: Invalid B{C{height}}.
        '''
        return self.to3Tuple(height).to4Tuple(datum)


class PhiLam3Tuple(_NamedTuple):  # .nvector.py, extends -2Tuple
    '''3-Tuple C{(phi, lam, height)} with latitude C{phi} in
       C{radians[PI_2]}, longitude C{lam} in C{radians[PI]} and
       C{height} in C{meter}.

       @note: Using C{phi/lambda} for lat-/longitude in C{radians}
              follows Chris Veness' U{convention
              }.
    '''
    _Names_ = (_phi_, _lam_, _height_)

    def to4Tuple(self, datum):
        '''Extend this L{PhiLam3Tuple} to a L{PhiLam4Tuple}.

           @arg datum: The datum to add (C{Datum}).

           @return: A L{PhiLam4Tuple}C{(phi, lam, height, datum)}.

from pygeodesy.utily import unrollPI

from math import radians
from random import Random

__all__ = _ALL_LAZY.hausdorff
__version__ = '20.07.08'


class HausdorffError(PointsError):
    '''Hausdorff issue.
    '''
    pass


class Hausdorff6Tuple(_NamedTuple):
    '''6-Tuple C{(hd, i, j, mn, md, units)} with the U{Hausdorff
       } distance C{hd},
       indices C{i} and C{j}, the total count C{mn}, the C{I{mean}
       Hausdorff} distance C{md} and the name of the distance C{units}.

       For C{directed Hausdorff} distances, count C{mn} is the number
       of model points considered. For C{symmetric Hausdorff} distances
       count C{mn} twice that.

       Indices C{i} and C{j} are the C{model} respectively C{target}
       point with the C{hd} distance.

       Mean distance C{md} is C{None} if an C{early break} occurred and
       U{early breaking}
       was enabled by keyword argument C{early=True}.
    '''

n = Northing(n, Error=Error)
        return _NamedTuple.__new__(cls, z, di, e, n)

    def to6Tuple(self, band, datum):
        '''Extend this L{Mgrs4Tuple} to a L{Mgrs6Tuple}.

           @arg band: The band to add (C{str} or C{None}).
           @arg datum: The datum to add (L{Datum} or C{None}).

           @return: A L{Mgrs6Tuple}C{(zone, digraph, easting,
                    northing, band, datum)}.
        '''
        return self._xtend(Mgrs6Tuple, band, datum)


class Mgrs6Tuple(_NamedTuple):  # XXX only used in the line above
    '''6-Tuple C{(zone, digraph, easting, northing, band, datum)},
       C{zone}, C{digraph} and C{band} as C{str}, C{easting} and
       C{northing} in C{meter} and C{datum} a L{Datum}.
    '''
    _Names_ = Mgrs4Tuple._Names_ + (_band_, _datum_)


def parseMGRS(strMGRS, datum=Datums.WGS84, Mgrs=Mgrs, name=NN):
    '''Parse a string representing a MGRS grid reference,
       consisting of zoneBand, grid, easting and northing.

       @arg strMGRS: MGRS grid reference (C{str}).
       @kwarg datum: Optional datum to use (L{Datum}).
       @kwarg Mgrs: Optional class to return the MGRS grid
                    reference (L{Mgrs}) or C{None}.
       @kwarg name: Optional B{C{Mgrs}} name (C{str}).

raise _IsnotError('NumPy', array=type(array))

        _Array2LatLon.__init__(self, array, ilat=ilat, ilon=ilon,
                                     LatLon=LatLon, shape=s)

    @property_RO
    def isNumpy2(self):
        '''Is this a Numpy2 wrapper?
        '''
        return True  # isinstance(self, (Numpy2LatLon, ...))

    def _subset(self, indices):
        return self._array[indices]  # NumPy special


class Point3Tuple(_NamedTuple):
    '''3-Tuple C{(x, y, ll)} in C{meter}, C{meter} and C{LatLon}.
    '''
    _Names_ = (_x_, _y_, 'll')


class Shape2Tuple(_NamedTuple):
    '''2-Tuple C{(nrows, ncols)}, the number of rows and columns,
       both C{int}.
    '''
    _Names_ = ('nrows', 'ncols')


class Tuple2LatLon(_Array2LatLon):
    '''Wrapper for tuple sequences as "on-the-fly" C{LatLon} points.
    '''
    def __init__(self, tuples, ilat=0, ilon=1, LatLon=None):

def _xtend(self, NamedTuple, *items):
        '''(INTERNAL) Extend this C{_Tuple} with C{items} to an other C{NamedTuple}.
        '''
        if not (issubclassof(NamedTuple, _NamedTuple) and
               (len(self._Names_) + len(items)) == len(NamedTuple._Names_)
                and self._Names_ == NamedTuple._Names_[:len(self)]):
            raise TypeError('%s%r vs %s%r' % (self.classname, self._Names_,
                            NamedTuple.__name__, NamedTuple._Names_))
        return self._xnamed(NamedTuple(*(self + items)))

C{(x, y)}) in (C{degrees}.
           @arg start_end: Optional C{[start[, end]]} index (C{int}).

           @return: Index or -1 if not found (C{int}).

           @raise TypeError: Invalid B{C{xy}}.
        '''
        return self._rfind(xy, start_end)

    def _slicekwds(self):
        '''(INTERNAL) Slice kwds.
        '''
        return dict(closed=self._closed, radius=self._radius, wrap=self._wrap)


class NearestOn5Tuple(_NamedTuple):
    '''5-Tuple C{(lat, lon, distance, angle, height)} all in C{degrees},
       except C{height}.  The C{distance} is the L{equirectangular_}
       distance between the closest and the reference B{C{point}} in
       C{degrees}.  The C{angle} from the reference B{C{point}} to
       the closest point is in compass C{degrees360}, see function
       L{compassAngle}.  The C{height} is the (interpolated) height
       at the closest point in C{meter} or C{0}.
    '''
    _Names_ = ('lat', 'lon', 'distance', 'angle', 'height')


class Numpy2LatLon(_Array2LatLon):  # immutable, on purpose
    '''Wrapper for C{NumPy} arrays as "on-the-fly" C{LatLon} points.
    '''
    def __init__(self, array, ilat=0, ilon=1, LatLon=None):
        '''Handle a C{NumPy} array as a sequence of C{LatLon} points.