# Coverage for pygeodesy/css.py : 89%

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''' if cs0 is None: global _CassiniSoldner0 if _CassiniSoldner0 is None: _CassiniSoldner0 = CassiniSoldner(0, 0, name='Default') cs0 = _CassiniSoldner0 else: _TypeError(CassiniSoldner, cs0=cs0) return cs0 class CassiniSoldner(_NamedBase): '''A Python version of Karney's C++ class U{CassiniSoldner <https://GeographicLib.SourceForge.io/1.49/classGeographicLib_1_1CassiniSoldner.html>}. ''' _cb0 = 0 _datum = Datums.WGS84 #: (INTERNAL) L{Datum}. _latlon0 = () _meridian = None _sb0 = 0 def __init__(self, lat0, lon0, datum=Datums.WGS84, name=''): '''New L{CassiniSoldner} projection. @param lat0: Latitude of center point (C{degrees90}). @param lon0: Longitude of center point (C{degrees180}). @keyword datum: Optional, the geodesic datum (L{Datum}). @keyword name: Optional name (C{str}). @raise ImportError: Package U{GeographicLib<https://PyPI.org/ project/geographiclib>} missing. @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 name: self.name = name if datum and datum != self._datum: self._datum = datum self.reset(lat0, lon0) @property_RO def datum(self): '''Get the datum (L{Datum}). ''' return self._datum @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 Cassini-Soldner easting and northing. @param lat: Latitude of the location (C{degrees90}). @param lon: Longitude of the location (C{degrees180}). @return: An L{EasNor2Tuple}C{(easting, northing)}. ''' r = EasNor2Tuple(*self.forward4(lat, lon)[:2]) return self._xnamed(r) def forward4(self, lat, lon): '''Convert an (ellipsoidal) geodetic location Cassini-Soldner easting and northing. @param lat: Latitude of the location (C{degrees90}). @param lon: Longitude of the location (C{degrees180}). @return: An L{EasNorAziRk4Tuple}C{(easting, northing, azimuth, reciprocal)}. ''' g, M = self.datum.ellipsoid._geodesic2 d = M.AngDiff(self.lon0, lon)[0] # _2sum r = g.Inverse(lat, -abs(d), lat, abs(d)) z1, a = r['azi1'], (r['a12'] * 0.5) z2, s = r['azi2'], (r['s12'] * 0.5) if s == 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, s, z2 = -a, -s, z1 # z: azimuth of easting direction e, z = s, M.AngNormalize(z2) p = g.Line(lat, d, z, g.DISTANCE | g.GEODESICSCALE) # rk: reciprocal of azimuthal northing scale rk = p.ArcPosition(-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 = -c if lat < 0 else c cb1 = -abs(s) if abs(d) > 90 else abs(s) # copysign(s, 90 - abs(d)) 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] r = EasNorAziRk4Tuple(e, n, z, rk) return self._xnamed(r) @property_RO def geodesic(self): '''Get this projection'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 @property_RO def lat0(self): '''Get the center latitude (C{degrees90}). ''' return self._latlon0.lat @property_RO def latlon0(self): '''Get the center lat- and longitude (L{LatLon2Tuple}). ''' return self._latlon0 @property_RO def lon0(self): '''Get the center longitude (C{degrees180}). ''' return self._latlon0.lon @property_RO def majoradius(self): '''Get the geodesic's major (equatorial) radius (C{float}). ''' return self.geodetic.a def reset(self, lat0, lon0): '''Set the center point of this projection. @param lat0: Latitude of center point (C{degrees90}). @param lon0: Longitude of center point (C{degrees180}). ''' g, M = self.datum.ellipsoid._geodesic2 self._meridian = m = g.Line(lat0, lon0, 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): '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic lat- and longitude. @param easting: Easting of the location (C{meter}). @param northing: Northing of the location (C{meter}). @keyword LatLon: Optional, ellipsoidal (sub-)class to return the location as (C{LatLon}) or C{None}. @return: Geodetic location B{C{LatLon}} or a L{LatLon2Tuple}C{(lat, lon)} if B{C{LatLon}} is C{None}. @raise TypeError: If B{C{LatLon}} is not ellipsoidal. ''' a, b = self.reverse4(easting, northing)[:2] if LatLon is None: r = LatLon2Tuple(a, b) elif issubclassof(LatLon, _LLEB): r = LatLon(a, b, datum=self.datum) else: raise _IsNotError(_LLEB.__name__, LatLon=LatLon) return self._xnamed(r) toLatLon = reverse def reverse4(self, easting, northing): '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic lat- and longitude. @param easting: Easting of the location (C{meter}). @param northing: Northing of the location (C{meter}). @return: A L{LatLonAziRk4Tuple}C{(lat, lon, azimuth, reciprocal)}. ''' g = self.geodesic r = self._meridian.Position(northing) a, b, z = r['lat2'], r['lon2'], r['azi2'] r = g.Direct(a, b, z + 90, easting, g.STANDARD | g.GEODESICSCALE) # include azimuth of easting direction and reciprocal of # azimuthal northing scale (see C++ member Direct() 5/6 # <https://GeographicLib.SourceForge.io/1.49/classGeographicLib_1_1Geodesic.html>) r = LatLonAziRk4Tuple(r['lat2'], r['lon2'], r['azi2'], r['M12']) return self._xnamed(r) def toStr(self, prec=6, sep=' '): # PYCHOK expected '''Return a string representation of this projection. @keyword prec: Optional number of decimal, unstripped (C{int}). @keyword sep: Optional separator to join (C{str}). @return: This projection as C{"lat0 lon0"} (C{str}). ''' return fStr(self.latlon0, prec=prec, sep=sep) def toStr2(self, prec=6): # PYCHOK expected '''Return a string representation of this projection. @keyword prec: Optional number of decimals, unstripped (C{int}). @return: This projection as C{"<classname>(lat0, lon0, ...)"} (C{str}). ''' t = self.toStr(prec=prec, sep=', ') n = self.name or '' if n: n = ', name=%r' % (n,) return '%s(%s%s)' % (self.classname, t, n) class CSSError(ValueError): '''Cassini-Soldner (CSS) conversion or other L{Css} issue. ''' pass class Css(_NamedBase): '''Cassini-Soldner East-/Northing location. ''' _azi = None #: (INTERNAL) azimuth of easting direction (C{degrees}) _cs0 = None #: (INTERNAL) projection (L{CassiniSoldner}) _easting = 0 #: (INTERNAL) Easting (C{float}) _height = 0 #: (INTERNAL) Height (C{meter}) _latlon = None #: (INTERNAL) Geodetic (lat, lon) _northing = 0 #: (INTERNAL) Northing (C{float}) _rk = None #: (INTERNAL) reciprocal of azimuthal northing scale (C{float}) def __init__(self, e, n, h=0, cs0=_CassiniSoldner0, name=''): '''New L{Css} Cassini-Soldner position. @param e: Easting (C{meter}). @param n: Northing (C{meter}). @keyword h: Optional height (C{meter}). @keyword cs0: Optional, the Cassini-Soldner projection (L{CassiniSoldner}). @keyword 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>} missing. @raise TypeError: If B{C{cs0}} is not L{CassiniSoldner}. @example: >>> cs = Css(448251, 5411932.0001) ''' self._cs0 = _CassiniSoldner(cs0) self._easting = false2f(e, 'easting', false=False, Error=CSSError) self._northing = false2f(n, 'northing', false=False, Error=CSSError) if h: self._height = float(h) if name: self.name = name def _reverse4(self): '''(INTERNAL) Convert to geodetic location. ''' r = self.cs0.reverse4(self.easting, self.northing) self._latlon = LatLon2Tuple(r.lat, r.lon) self._azi, self._rk = r.azimuth, r.reciprocal return r # LatLonAziRk4Tuple @property_RO def azi(self): '''Get the azimuth of easting direction (C{degrees}). ''' if self._azi is None: self._reverse4() return self._azi azimuth = azi @property_RO def cs0(self): '''Get the projection (L{CassiniSoldner}). ''' return self._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}). ''' if self._latlon is None: self._reverse4() return self._latlon @property_RO def northing(self): '''Get the northing (C{meter}). ''' return self._northing @property_RO def rk(self): '''Get the reciprocal of azimuthal northing scale (C{degrees}). ''' if self._rk is None: self._reverse4() return self._rk reciprocal = rk def toLatLon(self, LatLon=None, height=None): '''Convert this L{Css} to an (ellipsoidal) geodetic point. @keyword LatLon: Optional, ellipsoidal (sub-)class to return the geodetic point (C{LatLon}) or C{None}. @keyword height: Optional height for the point, overriding the default height (C{meter}). @return: The point (B{C{LatLon}}) or a L{LatLon4Tuple}C{(lat, lon, height, datum)} if B{C{LatLon}} is C{None}. @raise TypeError: If B{C{LatLon}} or B{C{datum}} is not ellipsoidal. ''' if LatLon and not issubclassof(LatLon, _LLEB): raise _IsNotError(_LLEB.__name__, LatLon=LatLon) a, b = self.latlon d = self.cs0.datum h = self.height if height is None else height r = LatLon4Tuple(a, b, h, d) if LatLon is None else \ LatLon(a, b, height=h, datum=d) return self._xnamed(r) def toStr(self, prec=6, sep=' ', m='m'): # PYCHOK expected '''Return a string representation of this L{Css} position. @keyword prec: Optional number of decimal, unstripped (C{int}). @keyword sep: Optional separator to join (C{str}). @keyword 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 = [fStr(self.easting, prec=prec), fStr(self.northing, prec=prec)] if self.height: t += ['%+.2f%s' % (self.height, m)] return sep.join(t) def toStr2(self, prec=6, fmt='[%s]', sep=', ', m='m', C=False): # PYCHOK expected '''Return a string representation of this L{Css} position. @keyword prec: Optional number of decimals, unstripped (C{int}). @keyword fmt: Optional, enclosing backets format (C{str}). @keyword sep: Optional separator between name:values (C{str}). @keyword m: Optional unit of the height, default meter (C{str}). @keyword 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 = self.toStr(prec=prec, sep=' ', m=m).split() k = ('E', 'N', 'H')[:len(t)] if self.name: k += 'name', t += [repr(self.name)] if C: k += 'C', t += [repr(self.cs0)] return fmt % (sep.join('%s:%s' % t for t in zip(k, t)),) def toCss(latlon, cs0=_CassiniSoldner0, height=None, Css=Css, name=''): '''Convert an (ellipsoidal) geodetic point to a Cassini-Soldner location. @param latlon: Ellipsoidal point (C{LatLon}). @keyword cs0: Optional, the Cassini-Soldner projection to use (L{CassiniSoldner}). @keyword height: Optional height for the point, overriding the default height (C{meter}). @keyword Css: Optional (sub-)class to return the location (L{Css}) or C{None}. @keyword 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: Mismatch of this and the B{C{latlon}} ellipsoidal. @raise ImportError: Package U{GeographicLib<https://PyPI.org/ project/geographiclib>} missing. @raise TypeError: If B{C{latlon}} is not ellipsoidal. ''' if not isinstance(latlon, _LLEB): raise _IsNotError(_LLEB.__name__, latlon=latlon) cs = _CassiniSoldner(cs0) C, E = cs.datum.ellipsoid, latlon.datum.ellipsoid if C != E: raise CSSError('%s mistmatch: %r vs %r' % ('ellipsoidal', C, E)) c = cs.forward4(latlon.lat, latlon.lon) h = latlon.height if height is None else height if Css is None: r = EasNor3Tuple(c.easting, c.northing, h) else: r = Css(c.easting, c.northing, h=h, cs0=cs) r._latlon = LatLon2Tuple(latlon.lat, latlon.lon) r._azi, r._rk = c.azimuth, c.reciprocal return _xnamed(r, name or nameof(latlon)) # **) 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.