1

2# -*- coding: utf-8 -*-

3

4 u'''Wrapper around Python classes C{geodesic.Geodesic} and C{geodesicline.GeodesicLine} from

5 I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>}, provided

6 that package is installed.

7

8 The I{wrapped} class methods return a L{GDict} instance offering access to the C{dict} items

9 either by C{key} or by C{attribute} name.

10

11 With env variable C{PYGEODESY_GEOGRAPHICLIB} left undefined or set to C{"2"}, this module and modules

12 L{pygeodesy.geodesici}, L{pygeodesy.geodesicx} and L{pygeodesy.karney} will use U{GeographicLib 2.0

13<https://GeographicLib.SourceForge.io/C++/doc/>} transcoding, otherwise C{1.52} or older.

14'''

15

16 from pygeodesy.basics import _copysign, _xinstanceof

17 from pygeodesy.constants import EPS, NAN, _EPSqrt as _TOL, _0_5

18 from pygeodesy.datums import _earth_datum, _WGS84, _EWGS84

19# from pygeodesy.dms import F_D # from .latlonBase

20# from pygeodesy.ellipsoids import _EWGS84 # from .datums

21 from pygeodesy.errors import _AssertionError, GeodesicError, \

22 IntersectionError

23 from pygeodesy.fsums import Fsum, Fmt, unstr

24 from pygeodesy.internals import _DUNDER_nameof, _under

25 from pygeodesy.interns import NN, _DOT_, _SPACE_, _to_, _too_

26 from pygeodesy.karney import _atan2d, Caps, Direct9Tuple, GDict, \

27 Inverse10Tuple, _kWrapped

28 from pygeodesy.latlonBase import LatLonBase as _LLB, F_D, Radius_

29 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS

30 from pygeodesy.named import callername, classname, _name1__, _name2__

31 from pygeodesy.namedTuples import Destination3Tuple, Distance3Tuple

32 from pygeodesy.props import Property, Property_RO, property_RO, \

33 property_ROver

34# from pygeodesy.streprs import Fmt, unstr # from .fsums

35# from pygeodesy.units import Radius_ # from .latlonBase

36 from pygeodesy.utily import _unrollon, _Wrap, wrap360, fabs # PYCHOK used!

37

38 from contextlib import contextmanager

39# from math import fabs # from .utily

40

41__all__ = _ALL_LAZY.geodesicw

42__version__ = '24.10.14'

43

44_plumb_ = 'plumb'

45_TRIPS = 65

46

47

48 class _gWrapped(_kWrapped):

49 ''''(INTERNAL) Wrapper for some of I{Karney}'s U{geographiclib

50 <https://PyPI.org/project/geographiclib>} classes.

51 '''

52

53 @property_ROver # MCCABE 24

54 def Geodesic(self):

55 '''Get the I{wrapped} C{geodesic.Geodesic} class from I{Karney}'s Python

56 U{geographiclib<https://GitHub.com/geographiclib/geographiclib-python>},

57 provided the latter is installed.

58 '''

59 _Geodesic = self.geographiclib.Geodesic

60 if not (Caps.LATITUDE == _Geodesic.LATITUDE and

61 Caps.LONGITUDE == _Geodesic.LONGITUDE and

62 Caps.AZIMUTH == _Geodesic.AZIMUTH and

63 Caps.DISTANCE == _Geodesic.DISTANCE and

64 Caps.DISTANCE_IN == _Geodesic.DISTANCE_IN and

65 Caps.REDUCEDLENGTH == _Geodesic.REDUCEDLENGTH and

66 Caps.GEODESICSCALE == _Geodesic.GEODESICSCALE and

67 Caps.AREA == _Geodesic.AREA and

68 Caps.ALL == _Geodesic.ALL):

69 raise _AssertionError(Caps=bin(Caps.ALL),

70 Geodesic=bin(_Geodesic.ALL))

71

72 class Geodesic(_Geodesic):

73 '''I{Wrapper} for I{Karney}'s Python U{geodesic.Geodesic

74 <https://PyPI.org/project/geographiclib>} class.

75 '''

76 _datum = _WGS84

77 _debug = 0 # like .geodesicx.bases._GeodesicBase

78 LINE_OFF = 0 # in .azimuthal._GnomonicBase and .css.CassiniSoldner

79 _name = NN

80

81 def __init__(self, a_ellipsoid=_EWGS84, f=None, **name): # PYCHOK signature

82 '''New I{wrapped} C{geodesic.Geodesic} instance.

83

84 @arg a_ellipsoid: The equatorial radius I{a} (C{meter}, conventionally),

85 an ellipsoid (L{Ellipsoid}) or a datum (L{Datum}).

86 @arg f: The ellipsoid's flattening (C{scalar}), required if B{C{a_ellipsoid})

87 is C{meter}, ignored otherwise.

88 @kwarg name: Optional C{B{name}=NN} (C{str}).

89 '''

90 _earth_datum(self, a_ellipsoid, f=f, **name) # raiser=NN

91 E = self.ellipsoid

92 with _wargs(self, *E.a_f, **name) as args:

93 _Geodesic.__init__(self, *args)

94 if name:

95 self._name, _ = _name2__(name, _or_nameof=E)

96

97 def ArcDirect(self, lat1, lon1, azi1, a12, outmask=Caps._STD):

98 '''Return the C{_Geodesic.ArcDirect} result as L{GDict}.

99 '''

100 with _wargs(self, lat1, lon1, azi1, a12, outmask) as args:

101 d = _Geodesic.ArcDirect(self, *args)

102 return GDict(d)

103

104 def ArcDirectLine(self, lat1, lon1, azi1, a12, caps=Caps._STD_LINE, **name):

105 '''Return the C{_Geodesic.ArcDirectLine} as I{wrapped} C{GeodesicLine}.

106 '''

107 return self._GenDirectLine(lat1, lon1, azi1, True, a12, caps, **name)

108

109 Area = _Geodesic.Polygon # like GeodesicExact.Area

110

111 @property_RO

112 def datum(self):

113 '''Get this geodesic's datum (C{Datum}).

114 '''

115 return self._datum

116

117 @Property

118 def debug(self):

119 '''Get the C{debug} option (C{bool}).

120 '''

121 return bool(self._debug)

122

123 @debug.setter # PYCHOK setter!

124 def debug(self, debug):

125 '''Set the C{debug} option (C{bool}) to include more

126 details in L{GDict} results.

127 '''

128 self._debug = Caps._DEBUG_ALL if debug else 0

129

130 def Direct(self, lat1, lon1, azi1, s12=0, outmask=Caps._STD):

131 '''Return the C{_Geodesic.Direct} result as L{GDict}.

132 '''

133 with _wargs(self, lat1, lon1, azi1, s12, outmask) as args:

134 d = _Geodesic.Direct(self, *args)

135 return GDict(d)

136

137 def Direct3(self, lat1, lon1, azi1, s12): # PYCHOK outmask

138 '''Return the destination lat, lon and reverse azimuth

139 in C{degrees} as L{Destination3Tuple}.

140 '''

141 d = self.Direct(lat1, lon1, azi1, s12, outmask=Caps._DIRECT3)

142 return Destination3Tuple(d.lat2, d.lon2, d.azi2)

143

144 def _DirectLine(self, ll1, azi12, s12=0, **caps_name):

145 '''(INTERNAL) Short-cut version.

146 '''

147 return self.DirectLine(ll1.lat, ll1.lon, azi12, s12, **caps_name)

148

149 def DirectLine(self, lat1, lon1, azi1, s12, caps=Caps._STD_LINE, **name):

150 '''Return the C{_Geodesic.DirectLine} as I{wrapped} C{GeodesicLine}.

151 '''

152 return self._GenDirectLine(lat1, lon1, azi1, False, s12, caps, **name)

153

154 @Property_RO

155 def ellipsoid(self):

156 '''Get this geodesic's ellipsoid (C{Ellipsoid}).

157 '''

158 return self.datum.ellipsoid

159

160 @property_RO

161 def f1(self): # in .css.CassiniSoldner.reset

162 '''Get the geodesic's ellipsoid's I{1 - flattening} (C{float}).

163 '''

164 return getattr(self, _under(Geodesic.f1.name), self.ellipsoid.f1)

165

166 def _GDictDirect(self, lat, lon, azi, arcmode, s12_a12, outmask=Caps._STD):

167 '''(INTERNAL) Get C{_Geodesic._GenDirect} result as C{GDict}.

168 '''

169 with _wargs(self, lat, lon, azi, arcmode, s12_a12, outmask) as args:

170 t = _Geodesic._GenDirect(self, *args)

171 return Direct9Tuple(t).toGDict() # *t

172

173 def _GDictInverse(self, lat1, lon1, lat2, lon2, outmask=Caps._STD):

174 '''(INTERNAL) Get C{_Geodesic._GenInverse} result as L{Inverse10Tuple}.

175 '''

176 with _wargs(self, lat1, lon1, lat2, lon2, outmask) as args:

177 t = _Geodesic._GenInverse(self, *args)

178 return Inverse10Tuple(t).toGDict(lon1=lon1, lon2=lon2) # *t

179

180 def _GenDirectLine(self, lat1, lon1, azi1, arcmode, s12_a12, *caps, **name):

181 '''(INTERNAL) Invoked by C{_Geodesic.DirectLine} and C{-.ArcDirectLine},

182 returning the result as a I{wrapped} C{GeodesicLine}.

183 '''

184 with _wargs(self, lat1, lon1, azi1, arcmode, s12_a12, *caps, **name) as args:

185 t = _Geodesic._GenDirectLine(self, *args)

186 return self._Line13(t, **name)

187

188 def _Inverse(self, ll1, ll2, wrap, **outmask):

189 '''(INTERNAL) Short-cut version, see .ellipsoidalBaseDI.intersecant2.

190 '''

191 if wrap:

192 ll2 = _unrollon(ll1, _Wrap.point(ll2))

193 return self.Inverse(ll1.lat, ll1.lon, ll2.lat, ll2.lon, **outmask)

194

195 def Inverse(self, lat1, lon1, lat2, lon2, outmask=Caps._STD):

196 '''Return the C{_Geodesic.Inverse} result as L{GDict}.

197 '''

198 with _wargs(self, lat1, lon1, lat2, lon2, outmask) as args:

199 d = _Geodesic.Inverse(self, *args)

200 return GDict(d)

201

202 def Inverse1(self, lat1, lon1, lat2, lon2, wrap=False):

203 '''Return the non-negative, I{angular} distance in C{degrees}.

204

205 @kwarg wrap: If C{True}, wrap or I{normalize} and unroll

206 B{C{lat2}} and BC{lon2}} (C{bool}).

207 '''

208 # see .FrechetKarney.distance, .HausdorffKarney._distance

209 # and .HeightIDWkarney._distances

210 if wrap:

211 _, lat2, lon2 = _Wrap.latlon3(lat1, lat2, lon2, True) # _Geodesic.LONG_UNROLL

212 r = self.Inverse(lat1, lon1, lat2, lon2)

213 # XXX _Geodesic.DISTANCE needed for 'a12'?

214 return fabs(r.a12)

215

216 def Inverse3(self, lat1, lon1, lat2, lon2): # PYCHOK outmask

217 '''Return the distance in C{meter} and the forward and reverse

218 azimuths in C{degrees} as L{Distance3Tuple}.

219 '''

220 r = self.Inverse(lat1, lon1, lat2, lon2, outmask=Caps._INVERSE3)

221 return Distance3Tuple(r.s12, wrap360(r.azi1), wrap360(r.azi2))

222

223 def _InverseLine(self, ll1, ll2, wrap, **caps_name):

224 '''(INTERNAL) Short-cut version.

225 '''

226 if wrap:

227 ll2 = _unrollon(ll1, _Wrap.point(ll2))

228 return self.InverseLine(ll1.lat, ll1.lon, ll2.lat, ll2.lon, **caps_name)

229

230 def InverseLine(self, lat1, lon1, lat2, lon2, caps=Caps._STD_LINE, **name):

231 '''Return the C{_Geodesic.InverseLine} as I{wrapped} C{GeodesicLine}.

232 '''

233 with _wargs(self, lat1, lon1, lat2, lon2, caps, **name) as args:

234 t = _Geodesic.InverseLine(self, *args)

235 return self._Line13(t, **name)

236

237 def Line(self, lat1, lon1, azi1, caps=Caps._STD_LINE, **name):

238 '''Set up a I{wrapped} C{GeodesicLine} to compute several points

239 along a single, I{wrapped} (this) geodesic.

240 '''

241 return _wrapped.GeodesicLine(self, lat1, lon1, azi1, caps=caps, **name)

242

243 def _Line13(self, t, **name):

244 '''(INTERNAL) Wrap C{_GeodesicLine}, add distance and arc length

245 to reference point 3.

246 '''

247 gl = _wrapped.GeodesicLine(self, t.lat1, t.lon1, t.azi1, caps=t.caps,

248 salp1=t.salp1, calp1=t.calp1, **name)

249 gl.a13, gl.s13 = t.a13, t.s13

250 return gl

251

252 @property_RO

253 def name(self):

254 '''Get the name (C{str}).

255 '''

256 return self._name

257

258# Polygon = _Geodesic.Polygon

259

260 WGS84 = None # _EWGS84.geodesicw recusion

261

262 # Geodesic.ArcDirect.__doc__ = _Geodesic.ArcDirect.__doc__

263 # Geodesic.Direct.__doc__ = _Geodesic.Direct.__doc__

264 # Geodesic.Inverse.__doc__ = _Geodesic.Inverse.__doc__

265 # Geodesic.InverseLine.__doc__ = _Geodesic.InverseLinr.__doc__

266 # Geodesic.Line.__doc__ = _Geodesic.Line.__doc__

267 return Geodesic # overwrite property_ROver

268

269 @property_ROver # MCCABE 16

270 def GeodesicLine(self):

271 '''Get the I{wrapped} C{geodesicline.GeodesicLine} class from I{Karney}'s

272 Python U{geographiclib<https://GitHub.com/geographiclib/geographiclib-python>},

273 provided the latter is installed.

274 '''

275 _GeodesicLine = self.geographiclib.GeodesicLine

276

277 class GeodesicLine(_GeodesicLine):

278 '''I{Wrapper} for I{Karney}'s Python U{geodesicline.GeodesicLine

279 <https://PyPI.org/project/geographiclib>} class.

280 '''

281 _geodesic = None

282 _name = NN

283

284 def __init__(self, geodesic, lat1, lon1, azi1, **caps_name_): # salp1=NAN, calp1=NAN

285 '''New I{wrapped} C{geodesicline.GeodesicLine} instance.

286

287 @arg geodesic: A I{wrapped} C{Geodesic} instance.

288 @arg lat1: Latitude of the first points (C{degrees}).

289 @arg lon1: Longitude of the first points (C{degrees}).

290 @arg azi1: Azimuth at the first points (compass C{degrees360}).

291 @kwarg caps_name_: Optional keyword arguments C{B{caps}=Caps.STANDARD},

292 a bit-or'ed combination of L{Caps} values specifying the

293 capabilities the C{GeodesicLine} instance should possess,

294 an optional C{B{name}=NN} plus C{salp1=NAN} and C{calp1=NAN}

295 for I{INTERNAL} use.

296 '''

297 _xinstanceof(_wrapped.Geodesic, geodesic=geodesic)

298 with _wargs(self, geodesic, lat1, lon1, azi1, **caps_name_) as args:

299 name, caps_ = _name2__(caps_name_, _or_nameof=geodesic)

300 _GeodesicLine.__init__(self, *args, **caps_) # XXX avoid updates?

301 if name:

302 self._name = name

303 self._geodesic = geodesic

304

305 @Property_RO

306 def a1(self):

307 '''Get the I{equatorial arc} (C{degrees}), the arc length between

308 the northward equatorial crossing and point C{(lat1, lon1)}.

309

310 @see: U{EquatorialArc<https://GeographicLib.SourceForge.io/

311 C++/doc/classGeographicLib_1_1GeodesicLine.html>}

312 '''

313 try:

314 return _atan2d(self._ssig1, self._csig1)

315 except AttributeError:

316 return NAN # see .geodesicx.gxline._GeodesicLineExact

317

318 equatorarc = a1

319

320 def Arc(self):

321 '''Return the angular distance to point 3 (C{degrees} or C{NAN}).

322 '''

323 return self.a13

324

325 def ArcPosition(self, a12, outmask=Caps._STD):

326 '''Return the position at C{B{a12} degrees} on this line.

327

328 @arg a12: Angular distance from this line's first point

329 (C{degrees}).

330

331 @see: Method L{Position} for further details.

332 '''

333 with _wargs(self, a12, outmask) as args:

334 d = _GeodesicLine.ArcPosition(self, *args)

335 return GDict(d)

336

337 @Property_RO

338 def azi0(self): # see .css.CassiniSoldner.forward4

339 '''Get the I{equatorial azimuth} (C{degrees}), the azimuth of the

340 geodesic line as it crosses the equator in a northward direction.

341

342 @see: U{EquatorialAzimuth<https://GeographicLib.SourceForge.io/

343 C++/doc/classGeographicLib_1_1GeodesicLine.html>}

344 '''

345 try:

346 return _atan2d(self._salp0, self._calp0)

347 except AttributeError:

348 return NAN # see .geodesicx.gxline._GeodesicLineExact

349

350 equatorazimuth = azi0

351

352 def Distance(self):

353 '''Return the distance to reference point 3 (C{meter} or C{NAN}).

354 '''

355 return self.s13

356

357 @property_RO

358 def geodesic(self):

359 '''Get the I{wrapped} geodesic (L{Geodesic}).

360 '''

361 return self._geodesic

362

363 def Intersecant2(self, lat0, lon0, radius, tol=_TOL):

364 '''Compute the intersection(s) of this geodesic line and a circle.

365

366 @arg lat0: Latitude of the circle center (C{degrees}).

367 @arg lon0: Longitude of the circle center (C{degrees}).

368 @arg radius: Radius of the circle (C{meter}, conventionally).

369 @kwarg tol: Convergence tolerance (C{scalar}).

370

371 @return: 2-Tuple C{(P, Q)} with both intersections points (representing

372 a geodesic chord), each a L{GDict} from method L{Position} and

373 extended to 14 items C{lat1, lon1, azi1, lat2, lon2, azi2, a12,

374 s12, lat0, lon0, azi0, a02, s02, at} with the circle center

375 C{lat0}, C{lon0}, azimuth C{azi0} at the intersection, distance

376 C{a02} in C{degrees} and C{s02} in C{meter} along the geodesic

377 from the circle center to the intersection C{lat2, lon2} and

378 the angle C{at} between the geodesic and this line at the

379 intersection. The I{geodesic} azimuth at the intersection is

380 C{(at + azi2)}. If this line is tangential to the circle, both

381 intersections are the same L{GDict} instance.

382

383 @raise IntersectionError: The circle and this geodesic line do not

384 intersect.

385

386 @raise UnitError: Invalid B{C{radius}}.

387 '''

388 return _Intersecant2(self, lat0, lon0, radius, tol=tol)

389

390 def PlumbTo(self, lat0, lon0, est=None, tol=_TOL):

391 '''Compute the I{perpendicular} intersection of this geodesic line

392 with a geodesic from the given point.

393

394 @arg lat0: Latitude of the point (C{degrees}).

395 @arg lon0: Longitude of the point (C{degrees}).

396 @kwarg est: Optional, initial estimate for the distance C{s12} of

397 the intersection I{along} this geodesic line (C{meter}).

398 @kwarg tol: Convergence tolerance (C(meter)).

399

400 @return: The intersection point on this geodesic line, a L{GDict}

401 from method L{Position} extended to 14 items C{lat1, lon1,

402 azi1, lat2, lon2, azi2, a12, s12, lat0, lon0, azi0, a02,

403 s02, at} with C{a02} and C{s02} the distance in C{degrees}

404 and C{meter} from the given point C{lat0, lon0} to the

405 intersection C{lat2, lon2}, azimuth C{azi0} at the given

406 point and the (perpendicular) angle C{at} between the

407 geodesic and this line at the intersection point. The

408 geodesic azimuth at the intersection is C{(at + azi2)}.

409 See method L{Position} for further details.

410

411 @see: Methods C{Intersecant2}, C{Intersection} and C{Position}.

412 '''

413 return _PlumbTo(self, lat0, lon0, est=est, tol=tol)

414

415 def Position(self, s12, outmask=Caps._STD):

416 '''Return the position at distance C{B{s12} meter} on this line.

417

418 @arg s12: Distance from this line's first point (C{meter}).

419 @kwarg outmask: Bit-or'ed combination of L{Caps} values specifying

420 the quantities to be returned.

421

422 @return: A L{GDict} with up to 12 items C{lat1, lon1, azi1, lat2,

423 lon2, azi2, m12, a12, s12, M12, M21, S12} with C{lat1},

424 C{lon1}, C{azi1} and arc length C{a12} always included,

425 except when C{a12=NAN}.

426 '''

427 with _wargs(self, s12, outmask) as args:

428 d = _GeodesicLine.Position(self, *args)

429 return GDict(d)

430

431 # GeodesicLine.ArcPosition.__doc__ = _GeodesicLine.ArcPosition.__doc__

432 # GeodesicLine.Position.__doc__ = _GeodesicLine.Position.__doc__

433 return GeodesicLine # overwrite property_ROver

434

435 @property_ROver

436 def Geodesic_WGS84(self):

437 '''Get the I{wrapped} C{Geodesic(WGS84)} singleton, provided the

438 U{geographiclib<https://PyPI.org/project/geographiclib>} package

439 is installed, otherwise an C{ImportError}.

440 '''

441 return _EWGS84.geodesicw # overwrite property_ROver

442

443_wrapped = _gWrapped() # PYCHOK singleton, .ellipsoids, .test/base.py

444

445

446 class Geodesic(_gWrapped): # overwritten by 1st instance

447 '''I{Wrapper} around I{Karney}'s class U{geographiclib.geodesic.Geodesic

448 <https://geographiclib.sourceforge.io/Python/doc/code.html>}.

449 '''

450 def __new__(unused, a_ellipsoid=_EWGS84, f=None, **name):

451 '''Return a I{wrapped} C{geodesic.Geodesic} instance from I{Karney}'s

452 Python U{geographiclib<https://PyPI.org/project/geographiclib>},

453 provide the latter is installed, otherwise an C{ImportError}.

454

455 @arg a_ellipsoid: An ellipsoid (L{Ellipsoid}) or datum (L{Datum})

456 or the equatorial radius I{a} of the ellipsoid (C{meter}).

457 @arg f: The flattening of the ellipsoid (C{scalar}), required if

458 B{C{a_ellipsoid}}) is C{meter}, ignored otherwise.

459 @kwarg name: Optional C{B{name}=NN} (C{str}).

460 '''

461 g = _wrapped.Geodesic(a_ellipsoid, f=f, **name)

462 _MODS.geodesicw.Geodesic = g.__class__ # overwrite class

463 return g

464

465

466 class GeodesicLine(_gWrapped): # overwritten by 1st instance

467 '''I{Wrapper} around I{Karney}'s class U{geographiclib.geodesicline.GeodesicLine

468 <https://geographiclib.sourceforge.io/Python/doc/code.html>}.

469 '''

470 def __new__(unused, geodesic, lat1, lon1, azi1, caps=Caps._STD_LINE, **name):

471 '''Return a I{wrapped} C{geodesicline.GeodesicLine} instance from I{Karney}'s

472 Python U{geographiclib<https://PyPI.org/project/geographiclib>}, provided

473 the latter is installed, otherwise an C{ImportError}.

474

475 @arg geodesic: A I{wrapped} L{Geodesic} instance.

476 @arg lat1: Latitude of the first points (C{degrees}).

477 @arg lon1: Longitude of the first points (C{degrees}).

478 @arg azi1: Azimuth at the first points (compass C{degrees360}).

479 @kwarg caps: Optional, bit-or'ed combination of L{Caps} values specifying

480 the capabilities the C{GeodesicLine} instance should possess,

481 i.e., which quantities can be returned by methods

482 C{GeodesicLine.Position} and C{GeodesicLine.ArcPosition}.

483 @kwarg name: Optional C{B{name}=NN} (C{str}).

484 '''

485 gl = _wrapped.GeodesicLine(geodesic, lat1, lon1, azi1, caps=caps, **name)

486 _MODS.geodesicw.GeodesicLine = gl.__class__ # overwrite class

487 return gl

488

489

490 def Geodesic_WGS84():

491 '''Get the I{wrapped} L{Geodesic}C{(WGS84)} singleton, provided

492 U{geographiclib<https://PyPI.org/project/geographiclib>} is

493 installed, otherwise an C{ImportError}.

494 '''

495 return _wrapped.Geodesic_WGS84

496

497

498 class _wargs(object): # see also .formy._idllmn6, .latlonBase._toCartesian3, .vector2d._numpy

499 '''(INTERNAL) C{geographiclib} arguments and exception handler.

500 '''

501 @contextmanager # <https://www.Python.org/dev/peps/pep-0343/> Examples

502 def __call__(self, inst, *args, **kwds):

503 '''(INTERNAL) Yield C{tuple(B{args})} with any errors raised

504 as L{GeodesicError} embellished with all B{C{kwds}}.

505 '''

506 try:

507 yield args

508 except Exception as x:

509 u = _DOT_(classname(inst), callername(up=2, underOK=True))

510 raise GeodesicError(unstr(u, *args, **_name1__(kwds)), cause=x)

511

512_wargs = _wargs() # PYCHOK singleton

513

514

515 def _Intersecant2(gl, lat0, lon0, radius, tol=_TOL, form=F_D): # MCCABE in LatLonEllipsoidalBaseDI.intersecant2, .geodesicx.gxline.Intersecant2

516 # (INTERNAL) Return the intersections of a circle at C{lat0, lon0}

517 # and a geodesic line as a 2-Tuple C{(P, Q)}, each a C{GDict}.

518 r = Radius_(radius)

519 n = _DUNDER_nameof(_Intersecant2)[1:]

520 _P = gl.Position

521 _I = gl.geodesic.Inverse

522 _a = fabs

523

524 def _R3(s):

525 # radius, intersection, etc. at distance C{s}

526 P = _P(s)

527 d = _I(lat0, lon0, P.lat2, P.lon2)

528 return _a(d.s12), P, d

529

530 def _bisect2(s, c, Rc, r, tol, _R3):

531 _s = Fsum(c).fsumf_

532 for i in range(_TRIPS):

533 b = _s(s)

534 Rb, P, d = _R3(b)

535 if Rb > r:

536 break

537 else: # b >>> s and c >>> s

538 raise ValueError(Fmt.no_convergence(b, s))

539 __2 = _0_5 # Rb > r > Rc

540 for i in range(_TRIPS): # 47-48

541 s = (b + c) * __2

542 R, P, d = _R3(s)

543 if Rb > R > r:

544 b, Rb = s, R

545 elif Rc < R < r:

546 c, Rc = s, R

547 t = _a(b - c)

548 if t < tol: # or _a(R - r) < tol:

549 break

550 else: # t = min(t, _a(R - r))

551 raise ValueError(Fmt.no_convergence(t, tol))

552 i += C.iteration # combine iterations

553 P.set_(lat0=lat0, lon0=lon0, azi0=d.azi1, iteration=i,

554 a02=d.a12, s02=d.s12, at=d.azi2 - P.azi2, name=n)

555 return P, s

556

557 # get the perpendicular intersection of 2 geodesics,

558 # one the plumb, pseudo-rhumb line to the other

559 C = _PlumbTo(gl, lat0, lon0, tol=tol)

560 try:

561 a = _a(C.s02) # distance between centers

562 if a < r:

563 c = C.s12 # distance along pseudo-rhumb line

564 h = _copysign(r, c) # past half chord length

565 P, p = _bisect2( h, c, a, r, tol, _R3)

566 Q, q = _bisect2(-h, c, a, r, tol, _R3)

567 if _a(p - q) < max(EPS, tol):

568 Q = P

569 elif a > r:

570 raise ValueError(_too_(Fmt.distant(a)))

571 else: # tangential

572 P = Q = C

573 except Exception as x:

574 t = _LLB(C.lat2, C.lon2).toStr(form=form)

575 t = _SPACE_(x, _plumb_, _to_, Fmt.PAREN(t))

576 raise IntersectionError(t, txt=None, cause=x)

577

578 return P, Q

579

580

581 def _PlumbTo(gl, lat0, lon0, est=None, tol=_TOL):

582 # (INTERNAL) Return the I{perpendicular} intersection of

583 # a geodesic line C{gl} and geodesic from C{(lat0, lon0)}.

584 pl = _MODS.rhumb.bases._PseudoRhumbLine(gl)

585 return pl.PlumbTo(lat0, lon0, exact=gl.geodesic,

586 est=est, tol=tol)

587

588# **) MIT License

589#

590# Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.

591#

592# Permission is hereby granted, free of charge, to any person obtaining a

593# copy of this software and associated documentation files (the "Software"),

594# to deal in the Software without restriction, including without limitation

595# the rights to use, copy, modify, merge, publish, distribute, sublicense,

596# and/or sell copies of the Software, and to permit persons to whom the

597# Software is furnished to do so, subject to the following conditions:

598#

599# The above copyright notice and this permission notice shall be included

600# in all copies or substantial portions of the Software.

601#

602# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS

603# OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

604# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL

605# THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR

606# OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,

607# ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR

608# OTHER DEALINGS IN THE SOFTWARE.