# Coverage for pygeodesy/ellipsoidalKarney.py : 98%

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Here's an example usage of C{ellipsoidalKarney}: >>> from pygeodesy.ellipsoidalKarney import LatLon >>> Newport_RI = LatLon(41.49008, -71.312796) >>> Cleveland_OH = LatLon(41.499498, -81.695391) >>> Newport_RI.distanceTo(Cleveland_OH) 866,455.4329098687 # meter You can change the ellipsoid model used by the Karney formulae as follows: >>> from pygeodesy import Datums >>> from pygeodesy.ellipsoidalKarney import LatLon >>> p = LatLon(0, 0, datum=Datums.OSGB36) or by converting to anothor datum: >>> p = p.convertDatum(Datums.OSGB36) @newfield example: Example, Examples ''' from pygeodesy.basics import property_RO, _xkwds from pygeodesy.datum import Datums from pygeodesy.ecef import EcefKarney from pygeodesy.ellipsoidalBase import CartesianEllipsoidalBase, \ LatLonEllipsoidalBase from pygeodesy.formy import points2 from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import Bearing2Tuple, Destination2Tuple, Distance3Tuple from pygeodesy.points import ispolar # PYCHOK exported from pygeodesy.utily import unroll180, wrap90, wrap180, wrap360 # all public contants, classes and functions __all__ = _ALL_LAZY.ellipsoidalKarney + ( 'Cartesian', 'LatLon', # classes 'areaOf', 'isclockwise', 'ispolar', 'perimeterOf') # functions __version__ = '20.03.27' class Cartesian(CartesianEllipsoidalBase): '''Extended to convert C{Karney}-based L{Cartesian} to C{Karney}-based L{LatLon} points. ''' _Ecef = EcefKarney #: (INTERNAL) Preferred C{Ecef...} class. def toLatLon(self, **LatLon_datum_kwds): # PYCHOK LatLon=LatLon, datum=None '''Convert this cartesian point to a C{Karney}-based geodetic point. @kwarg LatLon_datum_kwds: Optional L{LatLon}, B{C{datum}} and other keyword arguments, ignored if B{C{LatLon=None}}. Use B{C{LatLon=...}} to override this L{LatLon} class or specify B{C{LatLon=None}}. @return: The geodetic point (L{LatLon}) or if B{C{LatLon}} is C{None}, an L{Ecef9Tuple}C{(x, y, z, lat, lon, height, C, M, datum)} with C{C} and C{M} if available. @raise TypeError: Invalid B{C{LatLon}}, B{C{datum}} or other B{C{LatLon_datum_kwds}}. ''' kwds = _xkwds(LatLon_datum_kwds, LatLon=LatLon, datum=self.datum) return CartesianEllipsoidalBase.toLatLon(self, **kwds) class LatLon(LatLonEllipsoidalBase): '''An ellipsoidal L{LatLon} similar to L{ellipsoidalVincenty.LatLon} but using I{Charles F. F. Karney's} Python U{GeographicLib <https://PyPI.org/project/geographiclib>} to compute the geodesic distance, initial and final bearing (azimuths) between two given points or the destination point given a start point and an initial bearing. @note: This L{LatLon}'s methods require the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. ''' _Ecef = EcefKarney #: (INTERNAL) Preferred C{Ecef...} class. def bearingTo(self, other, wrap=False): '''DEPRECATED, use method C{initialBearingTo}. ''' return self.initialBearingTo(other, wrap=wrap) # PYCHOK no cover def bearingTo2(self, other, wrap=False): '''Compute the initial and final bearing (forward and reverse azimuth) from this to an other point, using Karney's C{Inverse} method. See methods L{initialBearingTo} and L{finalBearingTo} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: A L{Bearing2Tuple}C{(initial, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' r = self._inverse(other, True, wrap) return self._xnamed(Bearing2Tuple(r.initial, r.final)) def destination(self, distance, bearing, height=None): '''Compute the destination point after having travelled for the given distance from this point along a geodesic given by an initial bearing, using Karney's C{Direct} method. See method L{destination2} for more details. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing in (compass C{degrees360}). @kwarg height: Optional height, overriding the default height (C{meter}, same units as C{distance}). @return: The destination point (L{LatLon}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> d = p.destination(54972.271, 306.86816) >>> d LatLon(37°39′10.14″S, 143°55′35.39″E) # 37.652818°S, 143.926498°E ''' r = self._direct(distance, bearing, True, height=height) return self._xnamed(r.destination) def destination2(self, distance, bearing, height=None): '''Compute the destination point and the final bearing (reverse azimuth) after having travelled for the given distance from this point along a geodesic given by an initial bearing, using Karney's C{Direct} method. The distance must be in the same units as this point's datum axes, conventionally C{meter}. The distance is measured on the surface of the ellipsoid, ignoring this point's height. The initial and final bearing (forward and reverse azimuth) are in compass C{degrees360}. The destination point's height and datum are set to this point's height and datum, unless the former is overridden. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing (compass C{degrees360}). @kwarg height: Optional height, overriding the default height (C{meter}, same units as C{distance}). @return: A L{Destination2Tuple}C{(destination, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> d, f = p.destination2(54972.271, 306.86816) >>> d LatLon(37°39′10.14″S, 143°55′35.39″E) # 37.652818°S, 143.926498°E >>> f 307.1736313846665 ''' r = self._direct(distance, bearing, True, height=height) return self._xnamed(r) def distanceTo(self, other, wrap=False): '''Compute the distance between this and an other point along a geodesic, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Distance (C{meter}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon(58.64402, -3.07009) >>> d = p.distanceTo(q) # 969,954.1663142084 m ''' return self._inverse(other, False, wrap).distance def distanceTo3(self, other, wrap=False): '''Compute the distance, the initial and final bearing along a geodesic between this and an other point, using Karney's C{Inverse} method. The distance is in the same units as this point's datum axes, conventionally meter. The distance is measured on the surface of the ellipsoid, ignoring this point's height. The initial and final bearing (forward and reverse azimuth) are in compass C{degrees360} from North. @arg other: Destination point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: A L{Distance3Tuple}C{(distance, initial, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' return self._xnamed(self._inverse(other, True, wrap)) def finalBearingOn(self, distance, bearing): '''Compute the final bearing (reverse azimuth) after having travelled for the given distance along a geodesic given by an initial bearing from this point, using Karney's C{Direct} method. See method L{destination2} for more details. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing (compass C{degrees360}). @return: Final bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> b = 306.86816 >>> f = p.finalBearingOn(54972.271, b) # 307.1736313846665° ''' return self._direct(distance, bearing, False).final def finalBearingTo(self, other, wrap=False): '''Compute the final bearing (reverse azimuth) after having travelled along a geodesic from this point to an other point, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Final bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = new LatLon(50.06632, -5.71475) >>> q = new LatLon(58.64402, -3.07009) >>> f = p.finalBearingTo(q) # 11.297220414306684° >>> p = LatLon(52.205, 0.119) >>> q = LatLon(48.857, 2.351) >>> f = p.finalBearingTo(q) # 157.83449958372714° ''' return self._inverse(other, True, wrap).final @property_RO def geodesic(self): '''Get this C{LatLon}'s U{Geodesic <https://GeographicLib.SourceForge.io/html/python/code.html>}, provided package U{geographiclib <https://PyPI.org/project/geographiclib>} is installed. ''' return self.datum.ellipsoid.geodesic def initialBearingTo(self, other, wrap=False): '''Compute the initial bearing (forward azimuth) to travel along a geodesic from this point to an other point, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Initial bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon(58.64402, -3.07009) >>> b = p.initialBearingTo(q) # 9.141877488906045° >>> p = LatLon(52.205, 0.119) >>> q = LatLon(48.857, 2.351) >>> b = p.initialBearingTo(q) # 156.1106404059787° @JSname: I{bearingTo}. ''' return self._inverse(other, True, wrap).initial def toCartesian(self, **Cartesian_datum_kwds): # PYCHOK Cartesian=Cartesian, datum=None '''Convert this point to C{Karney}-based cartesian (ECEF) coordinates. @kwarg Cartesian_datum_kwds: Optional L{Cartesian}, B{C{datum}} and other keyword arguments, ignored if B{C{Cartesian=None}}. Use B{C{Cartesian=...}} to override this L{Cartesian} class or set B{C{Cartesian=None}}. @return: The cartesian (ECEF) coordinates (L{Cartesian}) or if B{C{Cartesian}} is C{None}, an L{Ecef9Tuple}C{(x, y, z, lat, lon, height, C, M, datum)} with C{C} and C{M} if available. @raise TypeError: Invalid B{C{Cartesian}}, B{C{datum}} or other B{C{Cartesian_datum_kwds}}. ''' kwds = _xkwds(Cartesian_datum_kwds, Cartesian=Cartesian, datum=self.datum) return LatLonEllipsoidalBase.toCartesian(self, **kwds) def _direct(self, distance, bearing, llr, height=None): '''(INTERNAL) Karney's C{Direct} method. ''' g = self.datum.ellipsoid.geodesic m = g.AZIMUTH if llr: m |= g.LATITUDE | g.LONGITUDE r = g.Direct(self.lat, self.lon, bearing, distance, m) t = wrap360(r['azi2']) if llr: a, b = wrap90(r['lat2']), wrap180(r['lon2']) h = self.height if height is None else height d = self.classof(a, b, height=h, datum=self.datum) else: d = None return Destination2Tuple(d, t) def _inverse(self, other, azis, wrap): '''(INTERNAL) Karney's C{Inverse} method. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' g = self.ellipsoids(other).geodesic m = g.DISTANCE if azis: m |= g.AZIMUTH _, lon = unroll180(self.lon, other.lon, wrap=wrap) r = g.Inverse(self.lat, self.lon, other.lat, lon, m) d = r['s12'] if azis: # forward and reverse azimuth f, r = wrap360(r['azi1']), wrap360(r['azi2']) else: f = r = None return Distance3Tuple(d, f, r) def _geodesic(datum, points, closed, line, wrap): # Compute the area or perimeter of a polygon, # using the GeographicLib package, iff installed g = datum.ellipsoid.geodesic if not wrap: # capability LONG_UNROLL can't be off raise ValueError('%s invalid: %s' % ('wrap', wrap)) _, points = points2(points, closed=closed) # base=LatLonEllipsoidalBase(0, 0) g = g.Polygon(line) # note, lon deltas are unrolled, by default for p in points: g.AddPoint(p.lat, p.lon) if closed and line: p = points[0] g.AddPoint(p.lat, p.lon) # g.Compute returns (number_of_points, perimeter, signed area) return g.Compute(False, True)[1 if line else 2] def areaOf(points, datum=Datums.WGS84, wrap=True): '''Compute the area of a (n ellipsoidal) polygon. @arg points: The polygon points (L{LatLon}[]). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Area (C{meter}, same as units of the B{C{datum}} ellipsoid, squared). @raise ImportError: Package U{GeographicLib <https://PyPI.org/project/geographiclib>} missing. @raise TypeError: Some B{C{points}} are not L{LatLon}. @raise ValueError: Insufficient number of B{C{points}} or longitudes not wrapped, unrolled, B{C{wrap}} is C{False}. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.areaOf}, L{sphericalNvector.areaOf} and L{sphericalTrigonometry.areaOf}. ''' return abs(_geodesic(datum, points, True, False, wrap)) def isclockwise(points, datum=Datums.WGS84, wrap=True): '''Determine the direction of a path or polygon. @arg points: The path or polygon points (C{LatLon}[]). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: C{True} if B{C{points}} are clockwise, C{False} otherwise. @raise TypeError: Some B{C{points}} are not C{LatLon}. @raise ValueError: Insufficient number of B{C{points}} or B{C{points}} enclose a pole or zero area. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.isclockwise}. ''' a = _geodesic(datum, points, True, False, wrap) if a > 0: return True elif a < 0: return False raise ValueError('polar or zero area: %r' % (points,)) def perimeterOf(points, closed=False, datum=Datums.WGS84, wrap=True): '''Compute the perimeter of a (n ellipsoidal) polygon. @arg points: The polygon points (L{LatLon}[]). @kwarg closed: Optionally, close the polygon (C{bool}). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Perimeter (C{meter}, same as units of the B{C{datum}} ellipsoid). @raise ImportError: Package U{GeographicLib <https://PyPI.org/project/geographiclib>} missing. @raise TypeError: Some B{C{points}} are not L{LatLon}. @raise ValueError: Insufficient number of B{C{points}} or longitudes not wrapped, unrolled, B{C{wrap}} is C{False}. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.perimeterOf} and L{sphericalTrigonometry.perimeterOf}. ''' return _geodesic(datum, points, closed, True, wrap) # **) 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.