# Coverage for pygeodesy/ellipsoidalBase.py : 94%

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Pure Python implementation of geodesy tools for ellipsoidal earth models, transcribed in part from JavaScript originals by I{(C) Chris Veness 2005-2016} and published under the same MIT Licence**, see for example U{latlon-ellipsoidal <https://www.Movable-Type.co.UK/scripts/geodesy/docs/latlon-ellipsoidal.js.html>}. @newfield example: Example, Examples ''' from pygeodesy.cartesianBase import CartesianBase from pygeodesy.datum import Datum, Datums from pygeodesy.ecef import EcefVeness from pygeodesy.fmath import EPS, _IsNotError from pygeodesy.latlonBase import LatLonBase from pygeodesy.lazily import _ALL_DOCS from pygeodesy.named import Vector3Tuple from pygeodesy.trf import _2epoch, RefFrame, TRFError, _reframeTransforms from pygeodesy.utily import property_RO, _TypeError __all__ = _ALL_DOCS('CartesianEllipsoidalBase', 'LatLonEllipsoidalBase') __version__ = '20.02.17' class CartesianEllipsoidalBase(CartesianBase): '''(INTERNAL) Base class for ellipsoidal C{Cartesian}s. ''' _datum = Datums.WGS84 #: (INTERNAL) L{Datum}. _Ecef = EcefVeness #: (INTERNAL) Preferred C{Ecef...} class, backward compatible. def convertRefFrame(self, reframe2, reframe, epoch=None): '''Convert this cartesian point from one to an other reference frame. @param reframe2: Reference frame to convert I{to} (L{RefFrame}). @param reframe: Reference frame to convert I{from} (L{RefFrame}). @keyword epoch: Optional epoch to observe for B{C{reframe}}, a fractional calendar year (C{scalar}). @return: The converted point (C{Cartesian}) or this point if conversion is C{nil}. @raise TRFError: No conversion available from B{C{reframe}} to B{C{reframe2}}. @raise TypeError: B{C{reframe2}} or B{C{reframe}} not a L{RefFrame} or B{C{epoch}} not C{scalar}. ''' _TypeError(RefFrame, reframe2=reframe2, reframe=reframe) c, d = self, self.datum for t in _reframeTransforms(reframe2, reframe, reframe.epoch if epoch is None else _2epoch(epoch)): c = c._applyHelmert(t, False, datum=d) return c class LatLonEllipsoidalBase(LatLonBase): '''(INTERNAL) Base class for ellipsoidal C{LatLon}s. ''' _convergence = None #: (INTERNAL) UTM/UPS meridian convergence (C{degrees}). _datum = Datums.WGS84 #: (INTERNAL) Datum (L{Datum}). _elevation2 = () #: (INTERNAL) Cached C{elevation2} result. _epoch = None #: (INTERNAL) overriding .reframe.epoch (C{float}). _etm = None #: (INTERNAL) Cached toEtm (L{Etm}). _geoidHeight2 = () #: (INTERNAL) Cached C{geoidHeight2} result. _lcc = None #: (INTERNAL) Cached toLcc (C{Lcc}). _osgr = None #: (INTERNAL) Cached toOsgr (C{Osgr}). _reframe = None #: (INTERNAL) reference frame (L{RefFrame}). _scale = None #: (INTERNAL) UTM/UPS scale factor (C{float}). _ups = None #: (INTERNAL) Cached toUps (L{Ups}). _utm = None #: (INTERNAL) Cached toUtm (L{Utm}). _wm = None #: (INTERNAL) Cached toWm (webmercator.Wm instance). _3xyz = None #: (DEPRECATED) Cached (L{Vector3Tuple}) def __init__(self, lat, lon, height=0, datum=None, reframe=None, epoch=None, name=''): '''Create an ellipsoidal C{LatLon} point frome the given lat-, longitude and height on the given datum and with the given reference frame and epoch. @param lat: Latitude (C{degrees} or DMS C{[N|S]}). @param lon: Longitude (C{degrees} or DMS C{str[E|W]}). @keyword height: Optional elevation (C{meter}, the same units as the datum's half-axes). @keyword datum: Optional, ellipsoidal datum to use (L{Datum}). @keyword reframe: Optional reference frame (L{RefFrame}). @keyword epoch: Optional epoch to observe for B{C{reframe}} (C{scalar}), a non-zero, fractional calendar year. @keyword name: Optional name (string). @raise TypeError: B{C{datum}} is not a L{datum}, B{C{reframe}} is not a L{RefFrame} or B{C{epoch}} is not C{scalar} non-zero. @example: >>> p = LatLon(51.4778, -0.0016) # height=0, datum=Datums.WGS84 ''' LatLonBase.__init__(self, lat, lon, height=height, name=name) if datum: self.datum = datum if reframe: self.reframe = reframe self.epoch = epoch def _Radjust2(self, adjust, datum, meter_text2): '''(INTERNAL) Adjust elevation or geoidHeight with difference in Gaussian radii of curvature of given datum and NAD83. @note: This is an arbitrary, possibly incorrect adjustment. ''' if adjust: # Elevation2Tuple or GeoidHeight2Tuple m, t = meter_text2 if isinstance(m, float): n = Datums.NAD83.ellipsoid.rocGauss(self.lat) if min(abs(m), n) > EPS: # use ratio, datum and NAD83 units may differ e = self.ellipsoid(datum).rocGauss(self.lat) if min(abs(e - n), e) > EPS: m *= e / n meter_text2 = meter_text2.classof(m, t) return self._xnamed(meter_text2) def _update(self, updated): if updated: # reset cached attrs self._etm = self._lcc = self._osgr = self._ups = \ self._utm = self._wm = self._3xyz = None self._elevation2 = self._geoidHeight2 = () LatLonBase._update(self, updated) def antipode(self, height=None): '''Return the antipode, the point diametrically opposite to this point. @keyword height: Optional height of the antipode, height of this point otherwise (C{meter}). @return: The antipodal point (C{LatLon}). ''' lla = LatLonBase.antipode(self, height=height) if lla.datum != self.datum: lla.datum = self.datum return lla @property_RO def convergence(self): '''Get this point's UTM or UPS meridian convergence (C{degrees}) or C{None} if not converted from L{Utm} ot L{Ups}. ''' return self._convergence def convertDatum(self, datum2): '''Convert this point to an other datum. @param datum2: Datum to convert I{to} (L{Datum}). @return: The converted point (ellipsoidal C{LatLon}). @raise TypeError: The B{C{datum2}} is not a L{Datum}. @example: >>> p = LatLon(51.4778, -0.0016) # default Datums.WGS84 >>> p.convertDatum(Datums.OSGB36) # 51.477284°N, 000.00002°E ''' if self.datum == datum2: return self.copy() c = self.toCartesian().convertDatum(datum2) return c.toLatLon(datum=datum2, LatLon=self.classof) def convertRefFrame(self, reframe2): '''Convert this point to an other reference frame. @param reframe2: Reference frame to convert I{to} (L{RefFrame}). @return: The converted point (ellipsoidal C{LatLon}) or this point if conversion is C{nil}. @raise TRFError: No B{C{.reframe}} or no conversion available from B{C{.reframe}} to B{C{reframe2}}. @raise TypeError: The B{C{reframe2}} is not a L{RefFrame}. @example: >>> p = LatLon(51.4778, -0.0016, reframe=RefFrames.ETRF2000) # default Datums.WGS84 >>> p.convertRefFrame(RefFrames.ITRF2014) # 51.477803°N, 000.001597°W, +0.01m ''' _TypeError(RefFrame, reframe2=reframe2) if not self.reframe: raise TRFError('no %r.%s' % (self, 'reframe')) ts = _reframeTransforms(reframe2, self.reframe, self.epoch) if ts: c = self.toCartesian() for t in ts: c = c._applyHelmert(t, False) ll = c.toLatLon(datum=self.datum, LatLon=self.classof, epoch=self.epoch, reframe=reframe2) # ll.reframe, ll.epoch = reframe2, self.epoch else: ll = self return ll @property def datum(self): '''Get this point's datum (L{Datum}). ''' return self._datum @datum.setter # PYCHOK setter! def datum(self, datum): '''Set this point's datum I{without conversion}. @param datum: New datum (L{Datum}). @raise TypeError: The B{C{datum}} is not a L{Datum} or not ellipsoidal. ''' _TypeError(Datum, datum=datum) if not datum.isEllipsoidal: raise _IsNotError('ellipsoidal', datum=datum) self._update(datum != self._datum) self._datum = datum def distanceTo2(self, other): '''Approximate the distance and (initial) bearing between this and an other (ellipsoidal) point based on the radii of curvature. Suitable only for short distances up to a few hundred Km or Miles and only between non-near-polar points. @param other: The other point (C{LatLon}). @return: An L{Distance2Tuple}C{(distance, initial)}. @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. @see: Method L{Ellipsoid.distance2} and U{Local, flat earth approximation<https://www.EdWilliams.org/avform.htm#flat>}. ''' return self.ellipsoids(other).distance2(self.lat, self.lon, other.lat, other.lon) def elevation2(self, adjust=True, datum=Datums.WGS84, timeout=2): '''Return elevation of this point for its or the given datum. @keyword adjust: Adjust the elevation for a B{C{datum}} other than C{NAD83}. @keyword datum: Optional datum (L{Datum}). @keyword timeout: Optional query timeout (seconds). @return: An L{Elevation2Tuple}C{(elevation, data_source)} or C{(None, error)} in case of errors. @note: The adjustment applied is the difference in geocentric earth radius for the B{C{datum}} used and the C{NAV83} datum upon which L{elevations.elevation2} is based. @note: NED elevation is only available for locations within the U{Conterminous US (CONUS) <https://WikiPedia.org/wiki/Contiguous_United_States>}. @see: Function L{elevations.elevation2} and method L{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if not self._elevation2: # get elevation and data source from pygeodesy.elevations import elevation2 self._elevation2 = elevation2(self.lat, self.lon, timeout=timeout) return self._Radjust2(adjust, datum, self._elevation2) def ellipsoid(self, datum=Datums.WGS84): '''Return the ellipsoid of this point's datum or the given datum. @keyword datum: Default datum (L{Datum}). @return: The ellipsoid (L{Ellipsoid}). ''' return getattr(self, 'datum', datum).ellipsoid def ellipsoids(self, other): '''Check the type and ellipsoid of this and an other point's datum. @param other: The other point (C{LatLon}). @return: This point's datum ellipsoid (L{Ellipsoid}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. ''' self.others(other) E = self.ellipsoid() try: # other may be Sphere, etc. e = other.ellipsoid() except AttributeError: try: # no ellipsoid method, try datum e = other.datum.ellipsoid except AttributeError: e = E # no datum, XXX assume equivalent? if e != E: c = E.classname raise ValueError('%s %s mistmatch: %ss.%s vs %ss.%s' % ('other', c, c, e.name, c, E.name)) return E @property def epoch(self): '''Get this point's observed epoch (C{float}) or C{None}. ''' return self._epoch or (self.reframe.epoch if self.reframe else None) @epoch.setter # PYCHOK setter! def epoch(self, epoch): '''Set or clear this point's observed epoch. @param epoch: Observed epoch, a fractional calendar year (C{scalar}) or C{None}. @raise TypeError: The B{C{epoch}} is not C{scalar}. ''' self._epoch = None if epoch is None else _2epoch(epoch) def geoidHeight2(self, adjust=False, datum=Datums.WGS84, timeout=2): '''Return geoid height of this point for its or the given datum. @keyword adjust: Adjust the geoid height for a B{C{datum}} other than C{NAD83/NADV88}. @keyword datum: Optional datum (L{Datum}). @keyword timeout: Optional query timeout (seconds). @return: An L{GeoidHeight2Tuple}C{(height, model_name)} or C{(None, error)} in case of errors. @note: The adjustment applied is the difference in geocentric earth radius for the given B{C{datum}} and the C{NAV83/NADV88} datum of the L{elevations.geoidHeight2}. @note: The geoid height is only available for locations within the U{Conterminous US (CONUS) <https://WikiPedia.org/wiki/Contiguous_United_States>}. @see: Function L{elevations.geoidHeight2} and method L{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if not self._geoidHeight2: # get elevation and data source from pygeodesy.elevations import geoidHeight2 self._geoidHeight2 = geoidHeight2(self.lat, self.lon, model=0, timeout=timeout) return self._Radjust2(adjust, datum, self._geoidHeight2) @property_RO def isEllipsoidal(self): '''Check whether this C{LatLon} point is ellipsoidal (C{bool}). ''' return self.datum.isEllipsoidal @property_RO def isSpherical(self): '''Check whether this C{LatLon} point is spherical (C{bool}). ''' return self.datum.isSpherical @property_RO def iteration(self): '''Get the iteration number (C{int} or C{None} if not available/applicable). ''' return None def parse(self, strll, height=0, datum=None, sep=','): '''Parse a string representing this C{LatLon} point. The lat- and longitude must be separated by a sep[arator] character. If height is present it must follow and be separated by another sep[arator]. Lat- and longitude may be swapped, provided at least one ends with the proper compass direction. For more details, see functions L{parse3llh} and L{parseDMS} in sub-module L{dms}. @param strll: Lat, lon [, height] (string). @keyword height: Optional, default height (C{meter} or C{None}). @keyword datum: Optional, default datum (L{Datum}). @keyword sep: Optional separator (string). @return: The point (L{LatLonEllipsoidalBase}). @raise ValueError: Invalid B{C{strll}}. ''' from pygeodesy.dms import parse3llh a, b, h = parse3llh(strll, height=height, sep=sep) return self.classof(a, b, height=h, datum=datum or self.datum) @property def reframe(self): '''Get this point's reference frame (L{RefFrame}) or C{None}. ''' return self._reframe @reframe.setter # PYCHOK setter! def reframe(self, reframe): '''Set or clear this point's reference frame. @param reframe: Reference frame (L{RefFrame}) or C{None}. @raise TypeError: The B{C{reframe}} is not a L{RefFrame}. ''' if isinstance(reframe, RefFrame): self._reframe = reframe elif reframe is not None: _TypeError(RefFrame, reframe=reframe) elif self.reframe is not None: self._reframe = None @property_RO def scale(self): '''Get this point's UTM grid or UPS point scale factor (C{float}) or C{None} if not converted from L{Utm} or L{Ups}. ''' return self._scale def to3xyz(self): # overloads LatLonBase.to3xyz # PYCHOK no cover '''DEPRECATED, use method C{toEcef}. @return: A L{Vector3Tuple}C{(x, y, z)}. ''' if self._3xyz is None: r = self.toEcef() self._3xyz = Vector3Tuple(r.x, r.y, r.z) return self._xrenamed(self._3xyz) def toEtm(self): '''Convert this C{LatLon} point to an ETM coordinate. @return: The ETM coordinate (L{Etm}). @see: Function L{toEtm8}. ''' if self._etm is None: from pygeodesy.etm import toEtm8, Etm # PYCHOK recursive import self._etm = toEtm8(self, datum=self.datum, Etm=Etm) return self._etm def toLcc(self): '''Convert this C{LatLon} point to a Lambert location. @see: Function L{toLcc} in module L{lcc}. @return: The Lambert location (L{Lcc}). ''' if self._lcc is None: from pygeodesy.lcc import Lcc, toLcc # PYCHOK recursive import self._lcc = toLcc(self, height=self.height, Lcc=Lcc, name=self.name) return self._lcc def toOsgr(self): '''Convert this C{LatLon} point to an OSGR coordinate. @see: Function L{toOsgr} in module L{osgr}. @return: The OSGR coordinate (L{Osgr}). ''' if self._osgr is None: from pygeodesy.osgr import Osgr, toOsgr # PYCHOK recursive import self._osgr = toOsgr(self, datum=self.datum, Osgr=Osgr, name=self.name) return self._osgr def toUps(self, pole='N', falsed=True): '''Convert this C{LatLon} point to a UPS coordinate. @keyword pole: Optional top/center of (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @keyword falsed: False easting and northing (C{bool}). @return: The UPS coordinate (L{Ups}). @see: Function L{toUps8}. ''' if self._ups is None: from pygeodesy.ups import toUps8, Ups # PYCHOK recursive import self._ups = toUps8(self, datum=self.datum, Ups=Ups, pole=pole, falsed=falsed) return self._ups def toUtm(self): '''Convert this C{LatLon} point to a UTM coordinate. @return: The UTM coordinate (L{Utm}). @see: Function L{toUtm8}. ''' if self._utm is None: from pygeodesy.utm import toUtm8, Utm # PYCHOK recursive import self._utm = toUtm8(self, datum=self.datum, Utm=Utm) return self._utm def toUtmUps(self, pole=''): '''Convert this C{LatLon} point to a UTM or UPS coordinate. @keyword pole: Optional top/center of UPS (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @return: The UTM or UPS coordinate (L{Utm} or L{Ups}). @raise TypeError: Result in L{Utm} or L{Ups}. @see: Function L{toUtmUps}. ''' if self._utm: u = self._utm elif self._ups and (self._utm.pole == pole or not pole): u = self._ups else: from pygeodesy.utmups import toUtmUps8, Utm, Ups # PYCHOK recursive import u = toUtmUps8(self, datum=self.datum, Utm=Utm, Ups=Ups, pole=pole) if isinstance(u, Utm): self._utm = u elif isinstance(u, Ups): self._ups = u else: _TypeError(Utm, Ups, toUtmUps8=u) return u def toWm(self): '''Convert this C{LatLon} point to a WM coordinate. @see: Function L{toWm} in module L{webmercator}. @return: The WM coordinate (L{Wm}). ''' if self._wm is None: from pygeodesy.webmercator import toWm # PYCHOK recursive import self._wm = toWm(self) return self._wm # **) 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.