# Coverage for pygeodesy/css.py : 97%

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Classes L{CassiniSoldner}, L{Css} and L{CSSError} requiring I{Charles Karney}'s U{geographiclib <https://PyPI.org/project/geographiclib/>} Python package to be installed. ''' from pygeodesy.basics import copysign, neg, _xinstanceof, _xsubclassof from pygeodesy.datums import _ellipsoidal_datum, _WGS84 from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB from pygeodesy.errors import _datum_datum, _ValueError, \ _xellipsoidal, _xkwds from pygeodesy.interns import NN, _azimuth_, _COMMASPACE_, _datum_, \ _easting_, _lat_, _lon_, _m_, _name_, \ _northing_, _reciprocal_, _SPACE_, \ _0_0, _0_5, _1_0, _90_0, _360_0 from pygeodesy.interns import _C_ # PYCHOK used! from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import _NamedBase, _NamedTuple, nameof from pygeodesy.namedTuples import EasNor2Tuple, EasNor3Tuple, \ LatLon2Tuple, LatLon4Tuple, _LL4Tuple from pygeodesy.props import deprecated_Property_RO, Property_RO from pygeodesy.streprs import Fmt, _fstrENH2, _fstrLL0, _xzipairs from pygeodesy.units import Bearing, Easting, Height, Lat_, Lon_, \ Northing, Scalar __all__ = _ALL_LAZY.css __version__ = '21.04.24' def _CS0(cs0): '''(INTERNAL) Get/set default projection. ''' if cs0 is None: cs0 = Css._CS0 if cs0 is None: Css._CS0 = cs0 = CassiniSoldner(_0_0, _0_0, name='Default') else: _xinstanceof(CassiniSoldner, cs0=cs0) return cs0 class CSSError(_ValueError): '''Cassini-Soldner (CSS) conversion or other L{Css} issue. ''' pass class CassiniSoldner(_NamedBase): '''Cassini-Soldner projection, a Python version of I{Karney}'s C++ class U{CassiniSoldner <https://GeographicLib.SourceForge.io/html/classGeographicLib_1_1CassiniSoldner.html>}. ''' _cb0 = _0_0 _datum = _WGS84 # L{Datum} _latlon0 = () _meridian = None _sb0 = _0_0 def __init__(self, lat0, lon0, datum=_WGS84, name=NN): '''New L{CassiniSoldner} projection. @arg lat0: Latitude of center point (C{degrees90}). @arg lon0: Longitude of center point (C{degrees180}). @kwarg datum: Optional datum or ellipsoid (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). @kwarg name: Optional name (C{str}). @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. @raise ImportError: Package U{geographiclib<https://PyPI.org/ project/geographiclib>} not installed or not found. @example: >>> p = CassiniSoldner(48 + 50/60.0, 2 + 20/60.0) # Paris >>> p.forward(50.9, 1.8) # Calais (-37518.854545, 230003.561828) >>> p.reverse4(-38e3, 230e3) (50.899937, 1.793161, 89.580797, 0.999982) ''' if datum not in (None, self._datum): self._datum = _xellipsoidal(datum=_ellipsoidal_datum(datum, name=name)) if name: self.name = name self.reset(lat0, lon0) @Property_RO def datum(self): '''Get the datum (L{Datum}). ''' return self._datum def _datumatch(self, latlon): '''Check for matching datum ellipsoids. @raise CSSError: Ellipsoidal mismatch of B{C{latlon}} and this projection. ''' _datum_datum(self.datum, latlon.datum, Error=CSSError) @Property_RO def equatoradius(self): '''Get the geodesic's equatorial radius, semi-axis (C{meter}). ''' return self.geodesic.a @Property_RO def flattening(self): '''Get the geodesic's flattening (C{float}). ''' return self.geodesic.f def forward(self, lat, lon): '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner easting and northing. @arg lat: Latitude of the location (C{degrees90}). @arg lon: Longitude of the location (C{degrees180}). @return: An L{EasNor2Tuple}C{(easting, northing)}. @see: Methods L{CassiniSoldner.forward4}, L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}. @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. ''' t = self.forward4(lat, lon) return EasNor2Tuple(t.easting, t.northing, name=self.name) def forward4(self, lat, lon, name=NN): '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner easting and northing. @arg lat: Latitude of the location (C{degrees90}). @arg lon: Longitude of the location (C{degrees180}). @kwarg name: Name inlieu of this projection's name (C{str}). @return: An L{EasNorAziRk4Tuple}C{(easting, northing, azimuth, reciprocal)}. @see: Method L{CassiniSoldner.forward}, L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}. @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. ''' g, M = self.datum.ellipsoid._geodesic_Math2 lat = Lat_(lat, Error=CSSError) d = M.AngDiff(self.lon0, Lon_(lon, Error=CSSError))[0] # _2sum r = g.Inverse(lat, -abs(d), lat, abs(d)) z1, a = r.azi1, (r.a12 * _0_5) z2, e = r.azi2, (r.s12 * _0_5) if e == 0: z = M.AngDiff(z1, z2)[0] * _0_5 # _2sum c = -90 if abs(d) > 90 else 90 z1, z2 = c - z, c + z if d < 0: a, e, z2 = neg(a), neg(e), z1 # z: azimuth of easting direction z = M.AngNormalize(z2) p = g.Line(lat, d, z, g.DISTANCE | g.GEODESICSCALE) # rk: reciprocal of azimuthal northing scale rk = p.ArcPosition(neg(a), g.GEODESICSCALE).M21 # rk = p._GenPosition(True, -a, g.DISTANCE)[7] # s, c = M.sincosd(p.EquatorialAzimuth()) s, c = M.sincosd(M.atan2d(p._salp0, p._calp0)) sb1 = copysign(c, lat) # -c if lat < 0 else c cb1 = copysign(s, 90 - abs(d)) # -abs(s) if abs(d) > 90 else abs(s) d = M.atan2d(sb1 * self._cb0 - cb1 * self._sb0, cb1 * self._cb0 + sb1 * self._sb0) n = self._meridian.ArcPosition(d, g.DISTANCE).s12 # n = self._meridian._GenPosition(True, d, g.DISTANCE)[4] return EasNorAziRk4Tuple(e, n, z, rk, name=name or self.name) @Property_RO def geodesic(self): '''Get this projection's I{wrapped} U{Karney 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 @Property_RO def lat0(self): '''Get the center latitude (C{degrees90}). ''' return self._latlon0.lat @property def latlon0(self): '''Get the center lat- and longitude (L{LatLon2Tuple}C{(lat, lon)}) in (C{degrees90}, (C{degrees180}). ''' return self._latlon0 @latlon0.setter # PYCHOK setter! def latlon0(self, latlon0): '''Set the center lat- and longitude (L{LatLon2Tuple}, ellipsoidal C{LatLon} or L{LatLon4Tuple}). @raise CSSError: Invalid B{C{latlon0}} or ellipsoidal mismatch of B{C{latlon0}} and this projection. ''' _xinstanceof(_LLEB, LatLon4Tuple, LatLon2Tuple, latlon0=latlon0) if hasattr(latlon0, _datum_): self._datumatch(latlon0) self.reset(latlon0.lat, latlon0.lon) @Property_RO def lon0(self): '''Get the center longitude (C{degrees180}). ''' return self._latlon0.lon @deprecated_Property_RO def majoradius(self): # PYCHOK no cover '''DEPRECATED, use property C{equatoradius}.''' return self.equatoradius def reset(self, lat0, lon0): '''Set or reset the center point of this Cassini-Soldner projection. @arg lat0: Center point latitude (C{degrees90}). @arg lon0: Center point longitude (C{degrees180}). @raise CSSError: Invalid B{C{lat0}} or B{C{lon0}}. ''' self._update(True) # force reset g, M = self.datum.ellipsoid._geodesic_Math2 self._meridian = m = g.Line(Lat_(lat0=lat0, Error=CSSError), Lon_(lon0=lon0, Error=CSSError), _0_0, g.STANDARD | g.DISTANCE_IN) self._latlon0 = LatLon2Tuple(m.lat1, m.lon1) s, c = M.sincosd(m.lat1) # == self.lat0 == self.LatitudeOrigin() self._sb0, self._cb0 = M.norm(s * (_1_0 - g.f), c) def reverse(self, easting, northing, LatLon=None, **LatLon_kwds): '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic lat- and longitude. @arg easting: Easting of the location (C{meter}). @arg northing: Northing of the location (C{meter}). @kwarg LatLon: Optional, ellipsoidal class to return the geodetic location as (C{LatLon}) or C{None}. @kwarg LatLon_kwds: Optional (C{LatLon}) keyword arguments, ignored if C{B{LatLon}=None}. @return: Geodetic location B{C{LatLon}} or if B{C{LatLon}} is C{None}, a L{LatLon2Tuple}C{(lat, lon)}. @raise CSSError: Ellipsoidal mismatch of B{C{LatLon}} and this projection. @raise TypeError: Invalid B{C{LatLon}} or B{C{LatLon_kwds}}. @see: Method L{CassiniSoldner.reverse4}, L{CassiniSoldner.forward} and L{CassiniSoldner.forward4}. ''' r = self.reverse4(easting, northing) if LatLon is None: r = LatLon2Tuple(r.lat, r.lon, name=self.name) # PYCHOK expected else: _xsubclassof(_LLEB, LatLon=LatLon) kwds = _xkwds(LatLon_kwds, datum=self.datum) r = self._xnamed(LatLon(r.lat, r.lon, **kwds)) # PYCHOK expected self._datumatch(r) return r def reverse4(self, easting, northing, name=NN): '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic lat- and longitude. @arg easting: Easting of the location (C{meter}). @arg northing: Northing of the location (C{meter}). @kwarg name: Name inlieu of this projection's name (C{str}). @return: A L{LatLonAziRk4Tuple}C{(lat, lon, azimuth, reciprocal)}. @see: Method L{CassiniSoldner.reverse}, L{CassiniSoldner.forward} and L{CassiniSoldner.forward4}. ''' g = self.geodesic n = self._meridian.Position(northing) r = g.Direct(n.lat2, n.lon2, n.azi2 + _90_0, easting, g.STANDARD | g.GEODESICSCALE) z = (r.azi2 + _360_0) % _360_0 # include azimuth of easting direction and reciprocal of # azimuthal northing scale (see C++ member Direct() 5/6 # <https://GeographicLib.SourceForge.io/html/classGeographicLib_1_1Geodesic.html>) return LatLonAziRk4Tuple(r.lat2, r.lon2, z, r.M12, name=name or self.name) toLatLon = reverse # XXX not reverse4 def toRepr(self, prec=6, **unused): # PYCHOK expected '''Return a string representation of this projection. @kwarg prec: Optional number of decimals, unstripped (C{int}). @return: This projection as C{"<classname>(lat0, lon0, ...)"} (C{str}). ''' return _fstrLL0(self, prec, True) def toStr(self, prec=6, sep=_SPACE_, **unused): # PYCHOK expected '''Return a string representation of this projection. @kwarg prec: Optional number of decimal, unstripped (C{int}). @kwarg sep: Optional separator to join (C{str}). @return: This projection as C{"lat0 lon0"} (C{str}). ''' t = _fstrLL0(self, prec, False) return t if sep is None else sep.join(t) class Css(_NamedBase): '''Cassini-Soldner East-/Northing location. ''' _CS0 = None # default projection (L{CassiniSoldner}) _cs0 = None # projection (L{CassiniSoldner}) _easting = _0_0 # easting (C{float}) _height = 0 # height (C{meter}) _northing = _0_0 # northing (C{float}) def __init__(self, e, n, h=0, cs0=None, name=NN): '''New L{Css} Cassini-Soldner position. @arg e: Easting (C{meter}). @arg n: Northing (C{meter}). @kwarg h: Optional height (C{meter}). @kwarg cs0: Optional, the Cassini-Soldner projection (L{CassiniSoldner}). @kwarg name: Optional name (C{str}). @return: The Cassini-Soldner location (L{Css}). @raise CSSError: If B{C{e}} or B{C{n}} is invalid. @raise ImportError: Package U{geographiclib<https://PyPI.org/ project/geographiclib>} not installed or not found. @raise TypeError: If B{C{cs0}} is not L{CassiniSoldner}. @raise ValueError: Invalid B{C{h}}. @example: >>> cs = Css(448251, 5411932.0001) ''' self._cs0 = _CS0(cs0) self._easting = Easting(e, Error=CSSError) self._northing = Northing(n, Error=CSSError) if h: self._height = Height(h=h) if name: self.name = name @Property_RO def azi(self): '''Get the azimuth of easting direction (C{degrees}). ''' return self.reverse4.azimuth azimuth = azi @Property_RO def cs0(self): '''Get the projection (L{CassiniSoldner}). ''' return self._cs0 or Css._CS0 @Property_RO def easting(self): '''Get the easting (C{meter}). ''' return self._easting @Property_RO def height(self): '''Get the height (C{meter}). ''' return self._height @Property_RO def latlon(self): '''Get the lat- and longitude (L{LatLon2Tuple}). ''' r = self.reverse4 return LatLon2Tuple(r.lat, r.lon, name=self.name) @Property_RO def northing(self): '''Get the northing (C{meter}). ''' return self._northing @Property_RO def reverse4(self): '''Get the lat, lon, azimuth and reciprocal (L{LatLonAziRk4Tuple}). ''' return self.cs0.reverse4(self.easting, self.northing, name=self.name) @Property_RO def rk(self): '''Get the reciprocal of azimuthal northing scale (C{scalar}). ''' return self.reverse4.reciprocal reciprocal = rk def toLatLon(self, LatLon=None, height=None, **LatLon_kwds): '''Convert this L{Css} to an (ellipsoidal) geodetic point. @kwarg LatLon: Optional, ellipsoidal class to return the geodetic point (C{LatLon}) or C{None}. @kwarg height: Optional height for the point, overriding the default height (C{meter}). @kwarg LatLon_kwds: Optional, additional B{C{LatLon}} keyword arguments, ignored if C{B{LatLon}=None}. @return: The geodetic point (B{C{LatLon}}) or if B{C{LatLon}} is C{None}, a L{LatLon4Tuple}C{(lat, lon, height, datum)}. @raise TypeError: If B{C{LatLon}} or B{C{datum}} is not ellipsoidal or invalid B{C{height}} or B{C{LatLon_kwds}}. ''' if LatLon: _xsubclassof(_LLEB, LatLon=LatLon) lat, lon = self.latlon h = self.height if height is None else Height(height) return _LL4Tuple(lat, lon, h, self.cs0.datum, LatLon, LatLon_kwds, name=self.name) def toRepr(self, prec=6, fmt=Fmt.SQUARE, sep=_COMMASPACE_, m=_m_, C=False): # PYCHOK expected '''Return a string representation of this L{Css} position. @kwarg prec: Optional number of decimals, unstripped (C{int}). @kwarg fmt: Optional, enclosing backets format (C{str}). @kwarg sep: Optional separator between name:values (C{str}). @kwarg m: Optional unit of the height, default meter (C{str}). @kwarg C: Optionally, include name of projection (C{bool}). @return: This position as C{"[E:meter, N:meter, H:m, name:'', C:Conic.Datum]"} (C{str}). ''' t, T = _fstrENH2(self, prec, m) if self.name: t += repr(self.name), T += _name_, if C: t += self.cs0.toRepr(prec=prec), T += _C_, return _xzipairs(T, t, sep=sep, fmt=fmt) def toStr(self, prec=6, sep=_SPACE_, m=_m_): # PYCHOK expected '''Return a string representation of this L{Css} position. @kwarg prec: Optional number of decimal, unstripped (C{int}). @kwarg sep: Optional separator to join (C{str}) or C{None} to return an unjoined C{tuple} of C{str}s. @kwarg m: Optional height units, default C{meter} (C{str}). @return: This position as C{"easting nothing"} C{str} in C{meter} plus C{" height"} and C{'m'} if heigth is non-zero (C{str}). ''' t, _ = _fstrENH2(self, prec, m) return t if sep is None else sep.join(t) class EasNorAziRk4Tuple(_NamedTuple): '''4-Tuple C{(easting, northing, azimuth, reciprocal)} for the Cassini-Soldner location with C{easting} and C{northing} in C{meters} and the C{azimuth} of easting direction and C{reciprocal} of azimuthal northing scale, both in C{degrees}. ''' _Names_ = (_easting_, _northing_, _azimuth_, _reciprocal_) _Units_ = ( Easting, Northing, Bearing, Scalar) class LatLonAziRk4Tuple(_NamedTuple): '''4-Tuple C{(lat, lon, azimuth, reciprocal)}, all in C{degrees} where C{azimuth} is the azimuth of easting direction and C{reciprocal} the reciprocal of azimuthal northing scale. ''' _Names_ = (_lat_, _lon_, _azimuth_, _reciprocal_) _Units_ = ( Lat_, Lon_, Bearing, Scalar) def toCss(latlon, cs0=None, height=None, Css=Css, name=NN): '''Convert an (ellipsoidal) geodetic point to a Cassini-Soldner location. @arg latlon: Ellipsoidal point (C{LatLon} or L{LatLon4Tuple}). @kwarg cs0: Optional, the Cassini-Soldner projection to use (L{CassiniSoldner}). @kwarg height: Optional height for the point, overriding the default height (C{meter}). @kwarg Css: Optional class to return the location (L{Css}) or C{None}. @kwarg name: Optional B{C{Css}} name (C{str}). @return: The Cassini-Soldner location (B{C{Css}}) or an L{EasNor3Tuple}C{(easting, northing, height)} if B{C{Css}} is C{None}. @raise CSSError: Ellipsoidal mismatch of B{C{latlon}} and B{C{cs0}}. @raise ImportError: Package U{geographiclib<https://PyPI.org/ project/geographiclib>} not installed or not found. @raise TypeError: If B{C{latlon}} is not ellipsoidal. ''' _xinstanceof(_LLEB, LatLon4Tuple, latlon=latlon) cs = _CS0(cs0) cs._datumatch(latlon) c = cs.forward4(latlon.lat, latlon.lon) h = latlon.height if height is None else Height(height) n = name or nameof(latlon) if Css is None: r = EasNor3Tuple(c.easting, c.northing, h, name=n) else: r = Css(c.easting, c.northing, h=h, cs0=cs, name=n) r._latlon = LatLon2Tuple(latlon.lat, latlon.lon, name=n) r._azi, r._rk = c.azimuth, c.reciprocal return r # **) MIT License # # Copyright (C) 2016-2021 -- 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.