# Coverage for pygeodesy/hausdorff.py : 97%

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Only L{HausdorffDistanceTo} -iff used with L{ellipsoidalKarney.LatLon} points- and L{HausdorffKarney} requires installation of I{Charles Karney}'s U{geographiclib<https://PyPI.org/project/geographiclib>}. Typical usage is as follows. First, create a C{Hausdorff} calculator from a given set of C{LatLon} points, called the C{model} or C{template} points. C{h = HausdorffXyz(points1, ...)} Get the C{directed} or C{symmetric} Hausdorff distance to a second set of C{LatLon} points, named the C{target} points, by using C{t6 = h.directed(points2)} respectively C{t6 = h.symmetric(points2)}. Or, use function C{hausdorff_} with a proper C{distance} function and optionally a C{point} function passed as keyword arguments as follows C{t6 = hausdorff_(points1, points2, ..., distance=..., point=...)}. In all cases, the returned result C{t6} is a L{Hausdorff6Tuple}. For C{(lat, lon, ...)} points in a C{NumPy} array or plain C{tuples}, wrap the points in a L{Numpy2LatLon} respectively L{Tuple2LatLon} instance, more details in the documentation thereof. For other points, create a L{Hausdorff} sub-class with the appropriate C{distance} method overloading L{Hausdorff.distance} and optionally a C{point} method overriding L{Hausdorff.point} as the next example. >>> from pygeodesy import Hausdorff, hypot_ >>> >>> class H3D(Hausdorff): >>> """Custom Hausdorff example. >>> """ >>> def distance(self, p1, p2): >>> return hypot_(p1.x - p2.x, p1.y - p2.y, p1.z - p2.z) >>> >>> h3D = H3D(xyz1, ..., units="...") >>> d6 = h3D.directed(xyz2) Transcribed from the original SciPy U{Directed Hausdorff Code <https://GitHub.com/scipy/scipy/blob/master/scipy/spatial/_hausdorff.pyx>} version 0.19.0, Copyright (C) Tyler Reddy, Richard Gowers, and Max Linke, 2016, distributed under the same BSD license as SciPy, including C{early breaking} and C{random sampling} as in U{Abdel Aziz Taha, Allan Hanbury "An Efficient Algorithm for Calculating the Exact Hausdorff Distance" <https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}, IEEE Trans. Pattern Analysis Machine Intelligence (PAMI), vol 37, no 11, pp 2153-2163, Nov 2015. ''' from pygeodesy.basics import _bkwds, INF, property_doc_, property_RO, \ _xinstanceof from pygeodesy.datum import Datums, Datum from pygeodesy.errors import _IsnotError, PointsError from pygeodesy.fmath import hypot2 from pygeodesy.formy import cosineAndoyerLambert_, cosineForsytheAndoyerLambert_, \ cosineLaw_, euclidean_, flatPolar_, haversine_, \ points2, _scale_rad, thomas_, vincentys_ from pygeodesy.interns import _datum_, _degrees_, _distanceTo_, _item_sq, _meter_, \ NN, _points_, _radians_, _radians2_, _units_ from pygeodesy.lazily import _ALL_LAZY, _ALL_DOCS, _FOR_DOCS from pygeodesy.named import _Named, _NamedTuple, notOverloaded, PhiLam2Tuple from pygeodesy.utily import unrollPI from math import radians from random import Random __all__ = _ALL_LAZY.hausdorff __version__ = '20.08.06' class HausdorffError(PointsError): '''Hausdorff issue. ''' pass class Hausdorff6Tuple(_NamedTuple): '''6-Tuple C{(hd, i, j, mn, md, units)} with the U{Hausdorff <https://WikiPedia.org/wiki/Hausdorff_distance>} 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<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} was enabled by keyword argument C{early=True}. ''' _Names_ = ('hd', 'i', 'j', 'mn', 'md', _units_) class Hausdorff(_Named): '''Hausdorff base class, requires method L{Hausdorff.distance} to be overloaded. ''' _adjust = None # not applicable _datum = None # not applicable _model = () _seed = None _units = NN _wrap = None # not applicable def __init__(self, points, seed=None, name=NN, units=NN, **wrap_adjust): '''New C{Hausdorff...} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @kwarg units: Optional, distance units (C{str}). @kwarg wrap_adjust: Optionally, C{wrap} and unroll longitudes, iff applicable (C{bool}) and C{adjust} wrapped, unrolled longitudinal delta by the cosine of the mean latitude, iff applicable. @raise HausdorffError: Insufficient number of B{C{points}} or an invalid B{C{point}}, B{C{seed}} or B{{wrap}} or B{C{ajust}} not applicable. ''' _, self._model = self._points2(points) if seed: self.seed = seed if name: self.name = name if units and not self.units: self.units = units if wrap_adjust: _bkwds(self, Error=HausdorffError, **wrap_adjust) @property_RO def adjust(self): '''Get the adjust setting (C{bool} or C{None} if not applicable). ''' return self._adjust @property_RO def datum(self): '''Get the datum of this calculator (L{Datum} or C{None} if not applicable). ''' return self._datum def _datum_setter(self, datum): '''(INTERNAL) Set the datum. ''' d = datum or getattr(self._model[0], _datum_, datum) if d and d != self.datum: # PYCHOK no cover _xinstanceof(Datum, datum=d) self._datum = d def directed(self, points, early=True): '''Compute only the C{forward Hausdorff} distance. @arg points: Second set of points, aka the C{target} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg early: Enable or disable U{early breaking<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} (C{bool}). @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}. @raise HausdorffError: Insufficient number of B{C{points}} or an invalid B{C{point}}. @note: See B{C{points}} note at L{HausdorffDistanceTo}. ''' _, ps2 = self._points2(points) return _hausdorff_(self._model, ps2, False, early, self.seed, self.units, self.distance, self.point) def distance(self, point1, point2): '''(INTERNAL) I{Must be overloaded}. ''' notOverloaded(self, self.distance, point1, point2) # PYCHOK no cover def point(self, point): '''Convert a C{model} or C{target} point for the C{.distance} method. ''' return point # pass thru def _points2(self, points): '''(INTERNAL) Check a set of points. ''' return points2(points, closed=False, Error=HausdorffError) @property_doc_(''' the random sampling seed (C{Random}).''') def seed(self): '''Get the random sampling seed (C{any} or C{None}). ''' return self._seed @seed.setter # PYCHOK setter! def seed(self, seed): '''Set the random sampling seed. @arg seed: Valid L{Random(seed)} or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @raise HausdorffError: Invalid B{C{seed}}. ''' if seed: try: Random(seed) except (TypeError, ValueError) as x: raise HausdorffError(seed=seed, txt=str(x)) self._seed = seed else: self._seed = None def symmetric(self, points, early=True): '''Compute the combined C{forward and reverse Hausdorff} distance. @arg points: Second set of points, aka the C{target} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg early: Enable or disable U{early breaking<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} (C{bool}). @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}. @raise HausdorffError: Insufficient number of B{C{points}} or an invalid B{C{point}}. @note: See B{C{points}} note at L{HausdorffDistanceTo}. ''' _, ps2 = self._points2(points) return _hausdorff_(self._model, ps2, True, early, self.seed, self.units, self.distance, self.point) @property_doc_(''' the distance units (C{str}).''') def units(self): '''Get the distance units (C{str} or C{""}). ''' return self._units @units.setter # PYCHOK setter! def units(self, units): '''Set the distance units. @arg units: New units name (C{str}). ''' self._units = str(units or NN) @property_RO def wrap(self): '''Get the wrap setting (C{bool} or C{None} if not applicable). ''' return self._wrap class HausdorffDegrees(Hausdorff): '''L{Hausdorff} base class for distances from C{LatLon} points in C{degrees}. ''' _units = _degrees_ if _FOR_DOCS: __init__ = Hausdorff.__init__ directed = Hausdorff.directed symmetric = Hausdorff.symmetric class HausdorffRadians(Hausdorff): '''L{Hausdorff} base class for distances from C{LatLon} points converted from C{degrees} to C{radians}. ''' _units = _radians_ if _FOR_DOCS: __init__ = Hausdorff.__init__ directed = Hausdorff.directed symmetric = Hausdorff.symmetric def point(self, point): '''Convert C{(lat, lon)} point in degrees to C{(a, b)} in radians. @return: An L{PhiLam2Tuple}C{(phi, lam)}. ''' try: return point.philam except AttributeError: # PYCHOK no cover return PhiLam2Tuple(radians(point.lat), radians(point.lon)) class HausdorffCosineAndoyerLambert(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{cosineAndoyerLambert_}. @see: L{HausdorffCosineForsytheAndoyerLambert}, L{HausdorffDistanceTo}, L{HausdorffFlatLocal}, L{HausdorffHubeny}, L{HausdorffThomas} and L{HausdorffKarney}. ''' _datum = Datums.WGS84 _wrap = False def __init__(self, points, datum=None, wrap=False, seed=None, name=NN): '''New L{HausdorffCosineAndoyerLambert} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg datum: Optional datum overriding the default C{Datums.WGS84} and first B{C{points}}' datum (L{Datum}). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) self._datum_setter(datum) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{cosineAndoyerLambert_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return cosineAndoyerLambert_(p2.phi, p1.phi, r, datum=self._datum) class HausdorffCosineForsytheAndoyerLambert(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{cosineForsytheAndoyerLambert_}. @see: L{HausdorffCosineAndoyerLambert}, L{HausdorffDistanceTo}, L{HausdorffFlatLocal}, L{HausdorffHubeny}, L{HausdorffThomas} and L{HausdorffKarney}. ''' _datum = Datums.WGS84 _wrap = False def __init__(self, points, datum=None, wrap=False, seed=None, name=NN): '''New L{HausdorffCosineForsytheAndoyerLambert} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg datum: Optional datum overriding the default C{Datums.WGS84} and first B{C{points}}' datum (L{Datum}). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) self._datum_setter(datum) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{cosineForsytheAndoyerLambert_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return cosineForsytheAndoyerLambert_(p2.phi, p1.phi, r, datum=self._datum) class HausdorffCosineLaw(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{cosineLaw_}. @note: See note at function L{vincentys_}. @see: L{HausdorffEquirectangular}, L{HausdorffEuclidean}, L{HausdorffFlatLocal}, L{HausdorffHubeny}, L{HausdorffFlatPolar}, L{HausdorffHaversine}, L{HausdorffKarney} and L{HausdorffVincentys}. ''' _wrap = False def __init__(self, points, wrap=False, seed=None, name=NN): '''New L{HausdorffCosineLaw} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{cosineLaw_} distance in C{radians}. ''' d, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return cosineLaw_(p2.phi, p1.phi, d) class HausdorffDistanceTo(Hausdorff): '''Compute the C{Hausdorff} distance based on the distance from the points' C{LatLon.distanceTo} method, conventionally in C{meter}. @see: L{HausdorffCosineAndoyerLambert}, L{HausdorffCosineForsytheAndoyerLambert}, L{HausdorffFlatLocal}, L{HausdorffHubeny}, L{HausdorffThomas} and L{HausdorffKarney}. ''' _distanceTo_kwds = {} _units = _meter_ def __init__(self, points, seed=None, name=NN, **distanceTo_kwds): '''New L{HausdorffDistanceTo} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[]). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @kwarg distanceTo_kwds: Optional keyword arguments for the B{C{points}}' C{LatLon.distanceTo} method. @raise HausdorffError: Insufficient number of B{C{points}} or an invalid B{C{point}} or B{C{seed}}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} missing iff B{C{points}} are L{ellipsoidalKarney.LatLon}s. @note: All C{model}, C{template} and C{target} B{C{points}} I{must} be instances of the same ellipsoidal or spherical C{LatLon} class. ''' Hausdorff.__init__(self, points, seed=seed, name=name) if distanceTo_kwds: self._distanceTo_kwds = distanceTo_kwds if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the distance in C{meter}. ''' return p1.distanceTo(p2, **self._distanceTo_kwds) def _points2(self, points): '''(INTERNAL) Check a set of points. ''' np, ps = Hausdorff._points2(self, points) for i, p in enumerate(ps): if not callable(getattr(p, _distanceTo_, None)): raise HausdorffError(_item_sq(_points_, i), p, txt=_distanceTo_) return np, ps class HausdorffEquirectangular(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the C{equirectangular} distance in C{radians squared} like function L{equirectangular_}. @see: L{HausdorffCosineLaw}, L{HausdorffEuclidean} L{HausdorffFlatPolar}, L{HausdorffHaversine} and L{HausdorffVincentys}. ''' _adjust = True _units = _radians2_ _wrap = False def __init__(self, points, adjust=True, wrap=False, seed=None, name=NN): '''New L{HausdorffEquirectangular} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg adjust: Adjust the wrapped, unrolled longitudinal delta by the cosine of the mean latitude (C{bool}). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, adjust=adjust, wrap=wrap) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{equirectangular_} distance in C{radians squared}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) if self._adjust: r *= _scale_rad(p1.phi, p2.phi) return hypot2(r, p2.phi - p1.phi) # like equirectangular_ d2 class HausdorffEuclidean(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the C{Euclidean} distance in C{radians} from function L{euclidean_}. @see: L{HausdorffCosineLaw}, L{HausdorffEquirectangular}, L{HausdorffFlatPolar}, L{HausdorffHaversine} and L{HausdorffVincentys}. ''' _adjust = True _wrap = True def __init__(self, points, adjust=True, seed=None, name=NN): '''New L{HausdorffEuclidean} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg adjust: Adjust the wrapped, unrolled longitudinal delta by the cosine of the mean latitude (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=True) if not adjust: self._adjust = False if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{euclidean_} distance in C{radians}. ''' return euclidean_(p2.phi, p1.phi, p2.lam - p1.lam, adjust=self._adjust) class HausdorffFlatLocal(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians squared} like function L{flatLocal_}/L{hubeny_}. @see: L{HausdorffCosineAndoyerLambert}, L{HausdorffCosineForsytheAndoyerLambert}, L{HausdorffDistanceTo}, L{HausdorffHubeny}, L{HausdorffThomas} and L{HausdorffKarney}. ''' _datum = Datums.WGS84 _hubeny2_ = None _units = _radians2_ _wrap = False def __init__(self, points, datum=None, wrap=False, seed=None, name=NN): '''New L{HausdorffFlatLocal}/L{HausdorffHubeny} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg datum: Optional datum overriding the default C{Datums.WGS84} and first B{C{points}}' datum (L{Datum}). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. @raise TypeError: Invalid B{C{datum}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) self._datum_setter(datum) self._hubeny2_ = self.datum.ellipsoid._hubeny2_ if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{flatLocal_}/L{hubeny_} distance in C{radians squared}. ''' d, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return self._hubeny2_(p2.phi, p1.phi, d) class HausdorffFlatPolar(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{flatPolar_}. @see: L{HausdorffCosineLaw}, L{HausdorffEquirectangular}, L{HausdorffEuclidean}, L{HausdorffHaversine} and L{HausdorffVincentys}. ''' _wrap = False def __init__(self, points, wrap=False, seed=None, name=NN): '''New L{HausdorffFlatPolar} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{flatPolar_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return flatPolar_(p2.phi, p1.phi, r) class HausdorffHaversine(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{haversine_}. @note: See note under L{HausdorffVincentys}. @see: L{HausdorffEquirectangular}, L{HausdorffEuclidean}, L{HausdorffFlatPolar} and L{HausdorffVincentys}. ''' _wrap = False def __init__(self, points, wrap=False, seed=None, name=NN): '''New L{HausdorffHaversine} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{haversine_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return haversine_(p2.phi, p1.phi, r) class HausdorffHubeny(HausdorffFlatLocal): # for Karl Huebny if _FOR_DOCS: __doc__ = HausdorffFlatLocal.__doc__ __init__ = HausdorffFlatLocal.__init__ directed = HausdorffFlatLocal.directed distance = HausdorffFlatLocal.distance symmetric = HausdorffFlatLocal.symmetric class HausdorffKarney(HausdorffDegrees): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{degrees} from I{Karney}'s U{geographiclib <https://PyPI.org/project/geographiclib>} U{Geodesic <https://GeographicLib.SourceForge.io/html/python/code.html>} Inverse method. @see: L{HausdorffCosineAndoyerLambert}, L{HausdorffCosineForsytheAndoyerLambert}, L{HausdorffDistanceTo}, L{HausdorffFlatLocal}, L{HausdorffHubeny} and L{HausdorffThomas}. ''' _datum = Datums.WGS84 _Inverse1 = None _units = _degrees_ _wrap = False def __init__(self, points, datum=None, wrap=False, seed=None, name=NN): '''New L{HausdorffKarney} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg datum: Optional datum overriding the default C{Datums.WGS84} and first B{C{points}}' datum (L{Datum}). @kwarg wrap: Optionally, wrap and L{unroll180} longitudes (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} missing. @raise TypeError: Invalid B{C{datum}}. ''' HausdorffDegrees.__init__(self, points, seed=seed, name=name, wrap=wrap) self._datum_setter(datum) self._Inverse1 = self.datum.ellipsoid.geodesic.Inverse1 if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the non-negative I{angular} distance in C{degrees}. ''' return self._Inverse1(p1.lat, p1.lon, p2.lat, p2.lon, wrap=self._wrap) class HausdorffThomas(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{thomas_}. @see: L{HausdorffCosineAndoyerLambert}, L{HausdorffCosineForsytheAndoyerLambert}, L{HausdorffDistanceTo}, L{HausdorffFlatLocal}, L{HausdorffHubeny} and L{HausdorffKarney}. ''' _datum = Datums.WGS84 _wrap = False def __init__(self, points, datum=None, wrap=False, seed=None, name=NN): '''New L{HausdorffThomas} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg datum: Optional datum overriding the default C{Datums.WGS84} and first B{C{points}}' datum (L{Datum}). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) self._datum_setter(datum) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{thomas_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return thomas_(p2.phi, p1.phi, r, datum=self._datum) class HausdorffVincentys(HausdorffRadians): '''Compute the C{Hausdorff} distance based on the I{angular} distance in C{radians} from function L{vincentys_}. @note: See note at function L{vincentys_}. @see: L{HausdorffCosineLaw}, L{HausdorffEquirectangular}, L{HausdorffEuclidean}, L{HausdorffFlatPolar} and L{HausdorffHaversine}. ''' _wrap = False def __init__(self, points, wrap=False, seed=None, name=NN): '''New L{HausdorffVincentys} calculator. @arg points: Initial set of points, aka the C{model} or C{template} (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg wrap: Optionally, wrap and L{unrollPI} longitudes (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https:// Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg name: Optional name for this interpolator (C{str}). @raise HausdorffError: Insufficient number of B{C{points}} or invalid B{C{seed}}. ''' HausdorffRadians.__init__(self, points, seed=seed, name=name, wrap=wrap) if _FOR_DOCS: directed = Hausdorff.directed symmetric = Hausdorff.symmetric def distance(self, p1, p2): '''Return the L{vincentys_} distance in C{radians}. ''' r, _ = unrollPI(p1.lam, p2.lam, wrap=self._wrap) return vincentys_(p2.phi, p1.phi, r) def _hausdorff_(ps1, ps2, both, early, seed, units, distance, point): '''(INTERNAL) Core of function L{hausdorff.hausdorff} and methods C{directed} and C{symmetric} of classes C{hausdorff.Hausdorff...}. ''' # shuffling the points generally increases the # chance of an early break in the inner j loop rr = randomrangenerator(seed) if seed else range hd = -INF hi = hj = m = mn = 0 md = 0.0 # forward or forward and backward for fb in range(2 if both else 1): n = len(ps2) for i in rr(len(ps1)): p1 = point(ps1[i]) dh, dj = INF, 0 for j in rr(n): p2 = point(ps2[j]) d = distance(p1, p2) if early and d < hd: break # early elif d < dh: dh, dj = d, j else: # no early break if hd < dh: hd = dh if fb: hi, hj = dj, i else: hi, hj = i, dj md += dh mn += 1 m += 1 # swap model and target ps1, ps2 = ps2, ps1 md = None if mn < m else (md / float(m)) return Hausdorff6Tuple(hd, hi, hj, m, md, units) def _point(p): '''Default B{C{point}} callable for function L{hausdorff_}. @arg p: The original C{model} or C{target} point (C{any}). @return: The point, suitable for the L{hausdorff_} B{C{distance}} callable. ''' return p def hausdorff_(model, target, both=False, early=True, seed=None, units=NN, distance=None, point=_point): '''Compute the C{directed} or C{symmetric} U{Hausdorff distance<https:// WikiPedia.org/wiki/Hausdorff_distance>} between 2 sets of points with or without U{early breaking<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} and U{random sampling<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @arg model: First set of points (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @arg target: Second set of points (C{LatLon}[], C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]). @kwarg both: Return the C{directed} (forward only) or the C{symmetric} (combined forward and reverse) C{Hausdorff} distance (C{bool}). @kwarg early: Enable or disable U{early breaking<https://Publik.TUWien.ac.AT/ files/PubDat_247739.pdf>} (C{bool}). @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no U{random sampling<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}. @kwarg units: Optional, name of the distance units (C{str}). @kwarg distance: Callable returning the distance between a B{C{model}} and B{C{target}} point (signature C{(point1, point2)}). @kwarg point: Callable returning the B{C{model}} or B{C{target}} point suitable for B{C{distance}} (signature C{(point)}). @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}. @raise HausdorffError: Insufficient number of B{C{model}} or B{C{target}} points. @raise TypeError: If B{C{distance}} or B{C{point}} is not callable. ''' if not callable(distance): raise _IsnotError(callable.__name__, distance=distance) if not callable(point): raise _IsnotError(callable.__name__, point=point) _, ps1 = points2(model, closed=False, Error=HausdorffError) _, ps2 = points2(target, closed=False, Error=HausdorffError) return _hausdorff_(ps1, ps2, both, early, seed, units, distance, point) def randomrangenerator(seed): '''Return a C{seed}ed random range function generator. @arg seed: Initial, internal L{Random} state (C{hashable} or C{None}). @note: L{Random} B{C{seed=None}} seeds from the current time or from a platform-specific randomness source, if available. @return: A function to generate random ranges. @example: >>> rrange = randomrangenerator('R') >>> for r in rrange(n): >>> ... # r is random in 0..n-1 ''' R = Random(seed) def _range(n, *stop_step): '''Like standard L{range}C{start, stop=..., step=...)}, except the returned values are in random order. @note: Especially C{range(n)} behaves like standard L{Random.sample}C{(range(n), n)} but avoids creating a tuple with the entire C{population} and a list containing all sample values (for large C{n}). ''' if stop_step: s = range(n, *stop_step) elif n > 32: r = R.randrange # Random._randbelow s = set() for _ in range(n - 32): i = r(n) while i in s: i = r(n) s.add(i) yield i s = set(range(n)) - s # [i for i in range(n) if i not in s] else: s = range(n) s = list(s) R.shuffle(s) while s: yield s.pop(0) return _range __all__ += _ALL_DOCS(Hausdorff6Tuple) # **) MIT License # # Copyright (C) 2016-2020 -- mrJean1 at Gmail -- All Rights Reserved. # # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR # OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, # ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR # OTHER DEALINGS IN THE SOFTWARE.