# Coverage for pygeodesy/ellipsoidalBase.py : 97%

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A pure Python implementation of geodesy tools for ellipsoidal earth models, transcoded 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>}. ''' # make sure int/int division yields float quotient, see .basics from __future__ import division as _; del _ # PYCHOK semicolon # from pygeodesy.basics import _xinstanceof # from .datums from pygeodesy.constants import EPS, EPS0, EPS1, _0_0, _0_5 from pygeodesy.cartesianBase import CartesianBase, _ellipsoidal_ # PYCHOK used! from pygeodesy.datums import Datum, Datums, _ellipsoidal_datum, \ _spherical_datum, _WGS84, _xinstanceof from pygeodesy.errors import _incompatible, _IsnotError, RangeError, TRFError, \ _ValueError, _xellipsoidal, _xError, _xkwds, \ _xkwds_get, _xkwds_not # from pygeodesy.interns import _ellipsoidal_ # from .cartesianBase from pygeodesy.interns import MISSING, NN, _COMMA_, _conversion_, _datum_, \ _DOT_, _no_, _reframe_, _SPACE_ from pygeodesy.latlonBase import LatLonBase, _trilaterate5, Vector3Tuple from pygeodesy.lazily import _ALL_DOCS, _ALL_LAZY, _ALL_MODS as _MODS # from pygeodesy.lcc import toLcc # from ._MODS # from pygeodesy.named import notOverloaded # from ._MODS # from pygeodesy.namedTuples import Vector3Tuple # from .latlonBase from pygeodesy.props import deprecated_method, deprecated_property_RO, \ Property_RO, property_doc_, property_RO, _update_all from pygeodesy.units import Epoch, _1mm as _TOL_M, Radius_ __all__ = _ALL_LAZY.ellipsoidalBase __version__ = '22.10.04' class CartesianEllipsoidalBase(CartesianBase): '''(INTERNAL) Base class for ellipsoidal C{Cartesian}s. ''' _datum = _WGS84 # L{Datum} _reframe = None # def __matmul__(self, other): # PYCHOK Python 3.5+ # '''Return C{NotImplemented} for C{c_ = c @ datum}, C{c_ = c @ reframe} and C{c_ = c @ Transform}. # ''' # RefFrame = _MODS.trf.RefFrame # return NotImplemented if isinstance(other, (Datum, RefFrame, Transform)) else \ # _NotImplemented(self, other) @deprecated_method def convertRefFrame(self, reframe2, reframe, epoch=None): '''DEPRECATED, use method L{toRefFrame}.''' return self.toRefFrame(reframe2, reframe, epoch=epoch) def intersections2(self, radius, center2, radius2, sphere=True, Vector=None, **Vector_kwds): '''Compute the intersection of two spheres or circles, each defined by a cartesian center point and a radius. @arg radius: Radius of this sphere or circle (same units as this point's coordinates). @arg center2: Center of the second sphere or circle (C{Cartesian}, L{Vector3d}, C{Vector3Tuple} or C{Vector4Tuple}). @arg radius2: Radius of the second sphere or circle (same units as this and the B{C{other}} point's coordinates). @kwarg sphere: If C{True} compute the center and radius of the intersection of two I{spheres}. If C{False}, ignore the C{z}-component and compute the intersection of two I{circles} (C{bool}). @kwarg Vector: Class to return intersections (C{Cartesian}, L{Vector3d} or C{Vector3Tuple}) or C{None} for an instance of this (sub-)class. @kwarg Vector_kwds: Optional, additional B{C{Vector}} keyword arguments, ignored if C{B{Vector} is None}. @return: If B{C{sphere}} is C{True}, a 2-tuple of the C{center} and C{radius} of the intersection of the I{spheres}. The C{radius} is C{0.0} for abutting spheres (and the C{center} is aka I{radical center}). If B{C{sphere}} is C{False}, a 2-tuple with the two intersection points of the I{circles}. For abutting circles, both points are the same instance, aka I{radical center}. @raise IntersectionError: Concentric, invalid or non-intersecting spheres or circles. @raise TypeError: Invalid B{C{center2}}. @raise UnitError: Invalid B{C{radius}} or B{C{radius2}}. @see: U{Sphere-Sphere<https://MathWorld.Wolfram.com/Sphere-SphereIntersection.html>}, U{Circle-Circle<https://MathWorld.Wolfram.com/Circle-CircleIntersection.html>} Intersection and function L{pygeodesy.radical2}. ''' try: return _MODS.vector3d._intersects2(self, Radius_(radius=radius), center2, Radius_(radius2=radius2), sphere=sphere, clas=self.classof, Vector=Vector, **Vector_kwds) except (TypeError, ValueError) as x: raise _xError(x, center=self, radius=radius, center2=center2, radius2=radius2) @property_doc_(''' this cartesian's reference frame (L{RefFrame}).''') def reframe(self): '''Get this cartesian's reference frame (L{RefFrame}) or C{None}. ''' return self._reframe @reframe.setter # PYCHOK setter! def reframe(self, reframe): '''Set or clear this cartesian's reference frame (L{RefFrame}) or C{None}. @raise TypeError: The B{C{reframe}} is not a L{RefFrame}. ''' _set_reframe(self, reframe) def toRefFrame(self, reframe2, reframe=None, epoch=None): '''Convert this cartesian point from one to an other reference frame. @arg reframe2: Reference frame to convert I{to} (L{RefFrame}). @arg reframe: Reference frame to convert I{from} (L{RefFrame}), overriding this cartesian's C{reframe}. @kwarg epoch: Optional epoch to observe (C{scalar}, fractional calendar year), overriding B{C{reframe}}'s epoch. @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}} or invalid B{C{epoch}}. @raise TypeError: B{C{reframe2}} or B{C{reframe}} not a L{RefFrame}. ''' r = self.reframe if reframe is None else reframe if r in (None, reframe2): xs = None # XXX _set_reframe(self, reframe2)? else: trf = _MODS.trf _xinstanceof(trf.RefFrame, reframe2=reframe2, reframe=r) _, xs = trf._reframeTransforms2(reframe2, r, epoch) return self.toTransforms_(*xs) if xs else self def toTransforms_(self, *transforms, **datum): '''Apply none, one or several Helmert transforms. @arg transforms: Transforms to apply, in order (L{Transform}s). @kwarg datum: Datum for the transformed point (L{Datum}), overriding this point's datum. @return: The transformed point (C{Cartesian}) or this point if the B{C{transforms}} produce the same point. ''' r = self if transforms: xyz = r.xyz for t in transforms: xyz = t.transform(*xyz) d = _xkwds_get(datum, datum=r.datum) if d != r.datum or xyz != r.xyz: r = r.classof(xyz, datum=d) return r class LatLonEllipsoidalBase(LatLonBase): '''(INTERNAL) Base class for ellipsoidal C{LatLon}s. ''' _datum = _WGS84 # L{Datum} _elevation2to = None # _elevation2 timeout (C{secs}) _epoch = None # overriding .reframe.epoch (C{float}) _gamma = None # UTM/UPS meridian convergence (C{degrees}) _geoidHeight2to = None # _geoidHeight2 timeout (C{secs}) _reframe = None # reference frame (L{RefFrame}) _scale = None # UTM/UPS scale factor (C{float}) _toLLEB_args = () # Etm/Utm/Ups._toLLEB arguments def __init__(self, lat, lon, height=0, datum=None, reframe=None, epoch=None, name=NN): '''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. @arg lat: Latitude (C{degrees} or DMS C{[N|S]}). @arg lon: Longitude (C{degrees} or DMS C{str[E|W]}). @kwarg height: Optional elevation (C{meter}, the same units as the datum's half-axes). @kwarg datum: Optional, ellipsoidal datum to use (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). @kwarg reframe: Optional reference frame (L{RefFrame}). @kwarg epoch: Optional epoch to observe for B{C{reframe}} (C{scalar}), a non-zero, fractional calendar year; silently ignored if C{B{reframe} is None}. @kwarg name: Optional name (string). @raise RangeError: Value of B{C{lat}} or B{C{lon}} outside the valid range and C{rangerrors} set to C{True}. @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. @raise UnitError: Invalid B{C{lat}}, B{C{lon}} or B{C{height}}. @example: >>> p = LatLon(51.4778, -0.0016) # height=0, datum=Datums.WGS84 ''' LatLonBase.__init__(self, lat, lon, height=height, name=name) if datum not in (None, self._datum): self.datum = _ellipsoidal_datum(datum, name=name) if reframe: self.reframe = reframe self.epoch = epoch # def __matmul__(self, other): # PYCHOK Python 3.5+ # '''Return C{NotImplemented} for C{ll_ = ll @ datum} and C{ll_ = ll @ reframe}. # ''' # RefFrame = _MODS.trf.RefFrame # return NotImplemented if isinstance(other, (Datum, RefFrame)) else \ # _NotImplemented(self, other) def antipode(self, height=None): '''Return the antipode, the point diametrically opposite to this point. @kwarg 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 @deprecated_property_RO def convergence(self): '''DEPRECATED, use property C{gamma}.''' return self.gamma @deprecated_method def convertDatum(self, datum2): '''DEPRECATED, use method L{toDatum}.''' return self.toDatum(datum2) @deprecated_method def convertRefFrame(self, reframe2): '''DEPRECATED, use method L{toRefFrame}.''' return self.toRefFrame(reframe2) @Property_RO def _css(self): '''(INTERNAL) Get this C{LatLon} point as a Cassini-Soldner location (L{Css}). ''' css = _MODS.css return css.toCss(self, height=self.height, Css=css.Css, name=self.name) @property_doc_(''' this points's datum (L{Datum}).''') 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} (L{Datum}). @raise TypeError: The B{C{datum}} is not a L{Datum} or not ellipsoidal. ''' _xinstanceof(Datum, datum=datum) if not datum.isEllipsoidal: raise _IsnotError(_ellipsoidal_, datum=datum) if self._datum != datum: _update_all(self) self._datum = datum def distanceTo2(self, other): '''I{Approximate} the distance and (initial) bearing between this and an other (ellipsoidal) point based on the radii of curvature. I{Suitable only for short distances up to a few hundred Km or Miles and only between points not near-polar}. @arg 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>} aka U{Hubeny<https://www.OVG.AT/de/vgi/files/pdf/3781/>} formula. ''' return self.ellipsoids(other).distance2(self.lat, self.lon, other.lat, other.lon) @Property_RO def _elevation2(self): '''(INTERNAL) Get elevation and data source. ''' return _MODS.elevations.elevation2(self.lat, self.lon, timeout=self._elevation2to) def elevation2(self, adjust=True, datum=None, timeout=2): '''Return elevation of this point for its or the given datum, ellipsoid or sphere. @kwarg adjust: Adjust the elevation for a B{C{datum}} other than C{NAD83} (C{bool}). @kwarg datum: Optional datum overriding this point's datum (L{Datum}, L{Ellipsoid}, L{Ellipsoid2}, L{a_f2Tuple} or C{scalar} radius). @kwarg timeout: Optional query timeout (C{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 between the B{C{datum}} and C{NAV83} upon which the 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 C{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if self._elevation2to != timeout: self._elevation2to = timeout LatLonEllipsoidalBase._elevation2._update(self) return self._Radjust2(adjust, datum, self._elevation2) def ellipsoid(self, datum=_WGS84): '''Return the ellipsoid of this point's datum or the given datum. @kwarg datum: Default datum (L{Datum}). @return: The ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). ''' return getattr(self, _datum_, datum).ellipsoid def ellipsoids(self, other): '''Check the type and ellipsoid of this and an other point's datum. @arg other: The other point (C{LatLon}). @return: This point's datum ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. ''' self.others(other, up=2) # ellipsoids' caller 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: raise _ValueError(e.named2, txt=_incompatible(E.named2)) return E @property_doc_(''' this point's observed or C{reframe} epoch (C{float}).''') def epoch(self): '''Get this point's observed or C{reframe} 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, a fractional calendar year (L{Epoch}, C{scalar}) or C{None}. @raise TRFError: Invalid B{C{epoch}}. ''' self._epoch = None if epoch is None else Epoch(epoch) @Property_RO def Equidistant(self): '''Get the prefered azimuthal equidistant projection I{class} (L{EquidistantKarney} or L{EquidistantExact}). ''' try: _ = self.datum.ellipsoid.geodesic return _MODS.azimuthal.EquidistantKarney except ImportError: # no geographiclib return _MODS.azimuthal.EquidistantExact # XXX no longer L{azimuthal.Equidistant} @Property_RO def _etm(self): '''(INTERNAL) Get this C{LatLon} point as an ETM coordinate (L{pygeodesy.toEtm8}). ''' etm = _MODS.etm return etm.toEtm8(self, datum=self.datum, Etm=etm.Etm) @property_RO def gamma(self): '''Get this point's UTM or UPS meridian convergence (C{degrees}) or C{None} if not available or not converted from L{Utm} or L{Ups}. ''' return self._gamma @Property_RO def _geoidHeight2(self): '''(INTERNAL) Get geoid height and model. ''' return _MODS.elevations.geoidHeight2(self.lat, self.lon, model=0, timeout=self._geoidHeight2to) def geoidHeight2(self, adjust=False, datum=None, timeout=2): '''Return geoid height of this point for its or the given datum, ellipsoid or sphere. @kwarg adjust: Adjust the geoid height for a B{C{datum}} other than C{NAD83/NADV88} (C{bool}). @kwarg datum: Optional datum overriding this point's datum (L{Datum}, L{Ellipsoid}, L{Ellipsoid2}, L{a_f2Tuple} or C{scalar} radius). @kwarg timeout: Optional query timeout (C{seconds}). @return: A 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 between the B{C{datum}} and C{NAV83/NADV88} upon which the L{elevations.geoidHeight2} is based. @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 C{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if self._geoidHeight2to != timeout: self._geoidHeight2to = timeout LatLonEllipsoidalBase._geoidHeight2._update(self) return self._Radjust2(adjust, datum, self._geoidHeight2) def intermediateTo(self, other, fraction, height=None, wrap=False): # PYCHOK no cover '''(INTERNAL) I{Must be overloaded}, see function C{notOverloaded}. ''' _MODS.named.notOverloaded(self, other, fraction, height=height, wrap=wrap) def intersection3(self, end1, other, end2, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Iteratively compute the intersection point of two paths, each defined by two points or a start point and bearing from North. @arg end1: End point of this path (C{LatLon}) or the initial bearing at this point (compass C{degrees360}). @arg other: Start point of the other path (C{LatLon}). @arg end2: End point of the other path (C{LatLon}) or the initial bearing at the other point (compass C{degrees360}). @kwarg height: Optional height at the intersection (C{meter}, conventionally) or C{None} for the mean height. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Tolerance for skew line distance and length and for convergence (C{meter}, conventionally). @return: An L{Intersection3Tuple}C{(point, outside1, outside2)} with C{point} a C{LatLon} instance. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise IntersectionError: Skew, colinear, parallel or otherwise non-intersecting paths or no convergence for the given B{C{tol}}. @raise TypeError: If B{C{end1}}, B{C{other}} or B{C{end2}} point is not C{LatLon}. @note: For each path specified with an initial bearing, a pseudo-end point is computed as the C{destination} along that bearing at about 1.5 times the distance from the start point to an initial gu-/estimate of the intersection point (and between 1/8 and 3/8 of the authalic earth perimeter). @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>} and U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES} for more details about the iteration algorithm. ''' try: s2 = self.others(other) return _MODS.ellipsoidalBaseDI._intersect3(self, end1, s2, end2, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof, datum=self.datum) except (TypeError, ValueError) as x: raise _xError(x, start1=self, end1=end1, other=other, end2=end2, height=height, wrap=wrap, tol=tol) def intersections2(self, radius1, other, radius2, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Iteratively compute the intersection points of two circles, each defined by a center point and a radius. @arg radius1: Radius of this circle (C{meter}, conventionally). @arg other: Center of the other circle (C{LatLon}). @arg radius2: Radius of the other circle (C{meter}, same units as B{C{radius1}}). @kwarg height: Optional height for the intersection points (C{meter}, conventionally) or C{None} for the I{"radical height"} at the I{radical line} between both centers. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Convergence tolerance (C{meter}, same units as B{C{radius1}} and B{C{radius2}}). @return: 2-Tuple of the intersection points, each a C{LatLon} instance. For abutting circles, both intersection points are the same instance, aka I{radical center}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise IntersectionError: Concentric, antipodal, invalid or non-intersecting circles or no convergence for the given B{C{tol}}. @raise TypeError: Invalid B{C{other}} or B{C{equidistant}}. @raise UnitError: Invalid B{C{radius1}}, B{C{radius2}} or B{C{height}}. @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>}, U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES}, U{circle-circle<https://MathWorld.Wolfram.com/Circle-CircleIntersection.html>} and U{sphere-sphere<https://MathWorld.Wolfram.com/Sphere-SphereIntersection.html>} intersections. ''' try: c2 = self.others(other) return _MODS.ellipsoidalBaseDI._intersections2(self, radius1, c2, radius2, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof, datum=self.datum) except (AssertionError, TypeError, ValueError) as x: raise _xError(x, center=self, radius1=radius1, other=other, radius2=radius2, height=height, wrap=wrap, tol=tol) @Property_RO def isEllipsoidalLatLon(self): '''Get C{LatLon} base. ''' return True @property_RO def iteration(self): '''Get the most recent C{intersections2} or C{nearestOn} iteration number (C{int}) or C{None} if not available/applicable. ''' return self._iteration @Property_RO def _lcc(self): '''(INTERNAL) Get this C{LatLon} point as a Lambert location (L{Lcc}). ''' lcc = _MODS.lcc return lcc.toLcc(self, height=self.height, Lcc=lcc.Lcc, name=self.name) def midpointTo(self, other, height=None, fraction=_0_5, wrap=False): '''Find the midpoint on a geodesic between this and an other point. @arg other: The other point (C{LatLon}). @kwarg height: Optional height for midpoint, overriding the mean height (C{meter}). @kwarg fraction: Midpoint location from this point (C{scalar}), may be negative or greater than 1.0. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Midpoint (C{LatLon}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Invalid B{C{height}}. @see: Methods C{intermediateTo} and C{rhumbMidpointTo}. ''' return self.intermediateTo(other, fraction, height=height, wrap=wrap) def nearestOn(self, point1, point2, within=True, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Iteratively locate the closest point on the geodesic between two other (ellipsoidal) points. @arg point1: Start point (C{LatLon}). @arg point2: End point (C{LatLon}). @kwarg within: If C{True} return the closest point I{between} B{C{point1}} and B{C{point2}}, otherwise the closest point elsewhere on the geodesic (C{bool}). @kwarg height: Optional height for the closest point (C{meter}, conventionally) or C{None} or C{False} for the interpolated height. If C{False}, the closest takes the heights of the points into account. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Convergence tolerance (C{meter}, conventionally). @return: Closest point (C{LatLon}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise TypeError: Invalid B{C{point1}}, B{C{point2}} or B{C{equidistant}}. @raise ValueError: Datum or ellipsoid of B{C{point1}} or B{C{point2}} is incompatible or no convergence for the given B{C{tol}}. @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>} and U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES} for details about the iteration algorithm. ''' try: t = _MODS.ellipsoidalBaseDI._nearestOn2(self, point1, point2, within=within, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof) except (TypeError, ValueError) as x: raise _xError(x, point=self, point1=point1, point2=point2, within=within, height=height, wrap=wrap, tol=tol) return t.closest @Property_RO def _osgr(self): '''(INTERNAL) Get this C{LatLon} point as an OSGR coordinate (L{Osgr}), based on the OS recommendation. ''' return _MODS.osgr.toOsgr(self, kTM=False, name=self.name) # datum=self.datum @Property_RO def _osgrTM(self): '''(INTERNAL) Get this C{LatLon} point as an OSGR coordinate (L{Osgr}) based on I{Karney}'s Krüger implementation. ''' return _MODS.osgr.toOsgr(self, kTM=True, name=self.name) # datum=self.datum def parse(self, strllh, height=0, datum=None, epoch=None, reframe=None, sep=_COMMA_, name=NN): '''Parse a string representing a similar, ellipsoidal C{LatLon} point, consisting of C{"lat, lon[, height]"}. @arg strllh: Lat, lon and optional height (C{str}), see function L{pygeodesy.parse3llh}. @kwarg height: Optional, default height (C{meter} or C{None}). @kwarg datum: Optional datum (L{Datum}), overriding this datum I{without conversion}. @kwarg epoch: Optional datum (L{Epoch}), overriding this epoch I{without conversion}. @kwarg reframe: Optional datum (L{RefFrame}), overriding this reframe I{without conversion}. @kwarg sep: Optional separator (C{str}). @kwarg name: Optional instance name (C{str}), overriding this name. @return: The similar point (ellipsoidal C{LatLon}). @raise ParseError: Invalid B{C{strllh}}. ''' a, b, h = _MODS.dms.parse3llh(strllh, height=height, sep=sep) r = self.classof(a, b, height=h, datum=self.datum) if datum not in (None, self.datum): r.datum = datum if epoch not in (None, self.epoch): r.epoch = epoch if reframe not in (None, self.reframe): r.reframe = reframe return self._xnamed(r, name=name, force=True) if name else r def _Radjust2(self, adjust, datum, meter_text2): '''(INTERNAL) Adjust an C{elevation} or C{geoidHeight} with difference in Gaussian radii of curvature of the given datum and NAD83 ellipsoids at this point's latitude. @note: This is an arbitrary, possibly incorrect adjustment. ''' if adjust: # Elevation2Tuple or GeoidHeight2Tuple m, t = meter_text2 if isinstance(m, float) and abs(m) > EPS: n = Datums.NAD83.ellipsoid.rocGauss(self.lat) if n > EPS0: # use ratio, datum and NAD83 units may differ E = self.ellipsoid() if datum in (None, self.datum) else \ _spherical_datum(datum).ellipsoid r = E.rocGauss(self.lat) if r > EPS0 and abs(r - n) > EPS: # EPS1 m *= r / n meter_text2 = meter_text2.classof(m, t) return self._xnamed(meter_text2) @property_doc_(''' this point's reference frame (L{RefFrame}).''') 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 (L{RefFrame}) or C{None}. @raise TypeError: The B{C{reframe}} is not a L{RefFrame}. ''' _set_reframe(self, reframe) @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 toCss(self, **toCss_kwds): '''Convert this C{LatLon} point to a Cassini-Soldner location. @kwarg toCss_kwds: Optional L{pygeodesy.toCss} keyword arguments. @return: The Cassini-Soldner location (L{Css}). @see: Function L{pygeodesy.toCss}. ''' return self._css if not toCss_kwds else _MODS.css.toCss( self, **_xkwds(toCss_kwds, name=self.name)) def toDatum(self, datum2, height=None, name=NN): '''Convert this point to an other datum. @arg datum2: Datum to convert I{to} (L{Datum}). @kwarg height: Optional height, overriding the converted height (C{meter}). @kwarg name: Optional name (C{str}), iff converted. @return: The converted point (ellipsoidal C{LatLon}) or a copy of this point if B{C{datum2}} matches this point's C{datum}. @raise TypeError: Invalid B{C{datum2}}. @example: >>> p = LatLon(51.4778, -0.0016) # default Datums.WGS84 >>> p.toDatum(Datums.OSGB36) # 51.477284°N, 000.00002°E ''' n = name or self.name d2 = _ellipsoidal_datum(datum2, name=n) if self.datum == d2: r = self.copy(name=name) else: kwds = _xkwds_not(None, LatLon=self.classof, name=n, epoch=self.epoch, reframe=self.reframe) c = self.toCartesian().toDatum(d2) r = c.toLatLon(datum=d2, height=height, **kwds) return r def toEtm(self, **toEtm8_kwds): '''Convert this C{LatLon} point to an ETM coordinate. @kwarg toEtm8_kwds: Optional L{pygeodesy.toEtm8} keyword arguments. @return: The ETM coordinate (L{Etm}). @see: Function L{pygeodesy.toEtm8}. ''' return self._etm if not toEtm8_kwds else _MODS.etm.toEtm8( self, **_xkwds(toEtm8_kwds, name=self.name)) def toLcc(self, **toLcc_kwds): '''Convert this C{LatLon} point to a Lambert location. @kwarg toLcc_kwds: Optional L{pygeodesy.toLcc} keyword arguments. @return: The Lambert location (L{Lcc}). @see: Function L{pygeodesy.toLcc}. ''' return self._lcc if not toLcc_kwds else _MODS.lcc.toLcc( self, **_xkwds(toLcc_kwds, name=self.name)) def toMgrs(self, center=False, pole=NN): '''Convert this C{LatLon} point to an MGRS coordinate. @kwarg center: If C{True}, try to I{un}-center MGRS to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @kwarg pole: Optional top/center for the MGRS UPS projection (C{str}, 'N[orth]' or 'S[outh]'). @return: The MGRS coordinate (L{Mgrs}). @see: Method L{toUtmUps} and L{Mgrs.toLatLon}. ''' return self.toUtmUps(center=center, pole=pole).toMgrs(center=False) def toOsgr(self, kTM=False, **toOsgr_kwds): '''Convert this C{LatLon} point to an OSGR coordinate. @kwarg kTM: If C{True} use I{Karney}'s Krüger method from module L{ktm}, otherwise I{Ordinance Survery}'s recommended formulation (C{bool}). @kwarg toOsgr_kwds: Optional L{pygeodesy.toOsgr} keyword arguments. @return: The OSGR coordinate (L{Osgr}). @see: Function L{pygeodesy.toOsgr}. ''' if toOsgr_kwds: r = _MODS.osgr.toOsgr(self, kTM=kTM, **_xkwds(toOsgr_kwds, name=self.name)) else: r = self._osgrTM if kTM else self._osgr return r def toRefFrame(self, reframe2, height=None, name=NN): '''Convert this point to an other reference frame. @arg reframe2: Reference frame to convert I{to} (L{RefFrame}). @kwarg height: Optional height, overriding the converted height (C{meter}). @kwarg name: Optional name (C{str}), iff converted. @return: The converted point (ellipsoidal C{LatLon}) or this point if conversion is C{nil}, or a copy of this point if the B{C{name}} is non-empty. @raise TRFError: This point's C{reframe} is not defined or conversion from this point's C{reframe} to B{C{reframe2}} is not available. @raise TypeError: Invalid B{C{reframe2}}, not a L{RefFrame}. @example: >>> p = LatLon(51.4778, -0.0016, reframe=RefFrames.ETRF2000) # default Datums.WGS84 >>> p.toRefFrame(RefFrames.ITRF2014) # 51.477803°N, 000.001597°W, +0.01m >>> p.toRefFrame(RefFrames.ITRF2014, height=0) # 51.477803°N, 000.001597°W ''' if not self.reframe: t = _SPACE_(_DOT_(repr(self), _reframe_), MISSING) raise TRFError(_no_(_conversion_), txt=t) trf = _MODS.trf trf._xinstanceof(trf.RefFrame, reframe2=reframe2) e, xs = trf._reframeTransforms2(reframe2, self.reframe, self.epoch) if xs: c = self.toCartesian().toTransforms_(*xs) n = name or self.name ll = c.toLatLon(datum=self.datum, epoch=e, height=height, LatLon=self.classof, name=n, reframe=reframe2) else: ll = self.copy(name=name) if name else self return ll def toUps(self, pole=NN, falsed=True, center=False): '''Convert this C{LatLon} point to a UPS coordinate. @kwarg pole: Optional top/center of (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @kwarg falsed: False easting and northing (C{bool}). @kwarg center: If C{True}, I{un}-center the UPS to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @return: The UPS coordinate (L{Ups}). @see: Function L{pygeodesy.toUps8}. ''' if self._upsOK(pole, falsed): u = self._ups else: ups = _MODS.ups u = ups.toUps8(self, datum=self.datum, Ups=ups.Ups, pole=pole, falsed=falsed) return _lowerleft(u, center) def toUtm(self, center=False): '''Convert this C{LatLon} point to a UTM coordinate. @kwarg center: If C{True}, I{un}-center the UTM to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @return: The UTM coordinate (L{Utm}). @see: Method L{Mgrs.toUtm} and function L{pygeodesy.toUtm8}. ''' return _lowerleft(self._utm, center) def toUtmUps(self, pole=NN, center=False): '''Convert this C{LatLon} point to a UTM or UPS coordinate. @kwarg pole: Optional top/center of UPS (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @kwarg center: If C{True}, I{un}-center the UTM or UPS to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @return: The UTM or UPS coordinate (L{Utm} or L{Ups}). @see: Function L{pygeodesy.toUtmUps8}. ''' if self._utmOK(): u = self._utm elif self._upsOK(pole): u = self._ups else: # no cover utmups = _MODS.utmups u = utmups.toUtmUps8(self, datum=self.datum, pole=pole, name=self.name, Utm=utmups.Utm, Ups=utmups.Ups) if isinstance(u, utmups.Utm): self._update(False, _utm=u) # PYCHOK kwds elif isinstance(u, utmups.Ups): self._update(False, _ups=u) # PYCHOK kwds else: _xinstanceof(utmups.Utm, utmups.Ups, toUtmUps8=u) return _lowerleft(u, center) def toWm(self, **toWm_kwds): '''Convert this C{LatLon} point to a WM coordinate. @kwarg toWm_kwds: Optional L{pygeodesy.toWm} keyword arguments. @return: The WM coordinate (L{Wm}). @see: Function L{pygeodesy.toWm}. ''' return self._wm if not toWm_kwds else _MODS.webmercator.toWm( self, **_xkwds(toWm_kwds, name=self.name)) @deprecated_method def to3xyz(self): # PYCHOK no cover '''DEPRECATED, use method C{toEcef}. @return: A L{Vector3Tuple}C{(x, y, z)}. @note: Overloads C{LatLonBase.to3xyz} ''' r = self.toEcef() return Vector3Tuple(r.x, r.y, r.z, name=self.name) def trilaterate5(self, distance1, point2, distance2, point3, distance3, area=True, eps=EPS1, wrap=False): '''Trilaterate three points by area overlap or perimeter intersection of three intersecting circles. @arg distance1: Distance to this point (C{meter}), same units as B{C{eps}}). @arg point2: Second center point (C{LatLon}). @arg distance2: Distance to point2 (C{meter}, same units as B{C{eps}}). @arg point3: Third center point (C{LatLon}). @arg distance3: Distance to point3 (C{meter}, same units as B{C{eps}}). @kwarg area: If C{True} compute the area overlap, otherwise the perimeter intersection of the circles (C{bool}). @kwarg eps: The required I{minimal overlap} for C{B{area}=True} or the I{intersection margin} for C{B{area}=False} (C{meter}, conventionally). @kwarg wrap: Wrap/unroll angular distances (C{bool}). @return: A L{Trilaterate5Tuple}C{(min, minPoint, max, maxPoint, n)} with C{min} and C{max} in C{meter}, same units as B{C{eps}}, the corresponding trilaterated points C{minPoint} and C{maxPoint} as I{ellipsoidal} C{LatLon} and C{n}, the number of trilatered points found for the given B{C{eps}}. If only a single trilaterated point is found, C{min I{is} max}, C{minPoint I{is} maxPoint} and C{n = 1}. For C{B{area}=True}, C{min} and C{max} are the smallest respectively largest I{radial} overlap found. For C{B{area}=False}, C{min} and C{max} represent the nearest respectively farthest intersection margin. If C{B{area}=True} and all 3 circles are concentric, C{n=0} and C{minPoint} and C{maxPoint} are the B{C{point#}} with the smallest B{C{distance#}} C{min} respectively C{max} the largest B{C{distance#}}. @raise IntersectionError: Trilateration failed for the given B{C{eps}}, insufficient overlap for C{B{area}=True} or no intersection or all (near-)concentric for C{B{area}=False}. @raise TypeError: Invalid B{C{point2}} or B{C{point3}}. @raise ValueError: Coincident B{C{points}} or invalid B{C{distance1}}, B{C{distance2}} or B{C{distance3}}. @note: Ellipsoidal trilateration invokes methods C{LatLon.intersections2} and C{LatLon.nearestOn} based on I{Karney}'s Python U{geographiclib <https://PyPI.org/project/geographiclib>} if installed, otherwise uses the accurate (but slower) C{ellipsoidalExact.LatLon} methods. ''' return _trilaterate5(self, distance1, self.others(point2=point2), distance2, self.others(point3=point3), distance3, area=area, eps=eps, wrap=wrap) @Property_RO def _ups(self): # __dict__ value overwritten by method C{toUtmUps} '''(INTERNAL) Get this C{LatLon} point as UPS coordinate (L{Ups}), see L{pygeodesy.toUps8}. ''' ups = _MODS.ups return ups.toUps8(self, datum=self.datum, Ups=ups.Ups, pole=NN, falsed=True, name=self.name) def _upsOK(self, pole=NN, falsed=True): '''(INTERNAL) Check matching C{Ups}. ''' try: u = self._ups except RangeError: return False return falsed and (u.pole == pole[:1].upper() or not pole) @Property_RO def _utm(self): # __dict__ value overwritten by method C{toUtmUps} '''(INTERNAL) Get this C{LatLon} point as UTM coordinate (L{Utm}), see L{pygeodesy.toUtm8}. ''' utm = _MODS.utm return utm.toUtm8(self, datum=self.datum, Utm=utm.Utm, name=self.name) def _utmOK(self): '''(INTERNAL) Check C{Utm}. ''' try: _ = self._utm except RangeError: return False return True @Property_RO def _wm(self): '''(INTERNAL) Get this C{LatLon} point as webmercator (L{Wm}). ''' return _MODS.webmercator.toWm(self) def _lowerleft(utmups, center): '''(INTERNAL) Optionally I{un}-center C{utmups}. ''' if center in (False, 0, _0_0): u = utmups elif center in (True,): u = utmups._lowerleft else: u = _MODS.utmupsBase._lowerleft(utmups, center) return u def _nearestOn(point, point1, point2, within=True, height=None, wrap=True, equidistant=None, tol=_TOL_M, LatLon=None, **LatLon_kwds): '''(INTERNAL) Get closest point, imported by .ellipsoidalExact, -GeodSolve, -Karney and -Vincenty to embellish exceptions. ''' try: p = _xellipsoidal(point=point) t = _MODS.ellipsoidalBaseDI._nearestOn2(p, point1, point2, within=within, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=LatLon, **LatLon_kwds) except (TypeError, ValueError) as x: raise _xError(x, point=point, point1=point1, point2=point2) return t.closest def _set_reframe(inst, reframe): '''(INTERNAL) Set or clear an instance's reference frame. ''' if reframe is not None: _xinstanceof(_MODS.trf.RefFrame, reframe=reframe) inst._reframe = reframe elif inst.reframe is not None: inst._reframe = None __all__ += _ALL_DOCS(CartesianEllipsoidalBase, LatLonEllipsoidalBase) # **) MIT License # # Copyright (C) 2016-2022 -- 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.