1

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

3

4 u'''Cassini-Soldner (CSS) projection.

5

6 Classes L{CassiniSoldner}, L{Css} and L{CSSError} requiring I{Charles Karney}'s

7 U{geographiclib <https://PyPI.org/project/geographiclib>} Python package to be

8 installed.

9'''

10

11 from pygeodesy.basics import islistuple, neg, _xinstanceof, _xsubclassof

12 from pygeodesy.constants import _umod_360, _0_0, _0_5, _90_0

13 from pygeodesy.datums import _ellipsoidal_datum, _WGS84

14 from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB

15 from pygeodesy.errors import _ValueError, _xdatum, _xellipsoidal, _xkwds

16 from pygeodesy.interns import NN, _azimuth_, _COMMASPACE_, _datum_, \

17 _easting_, _lat_, _lon_, _m_, _name_, \

18 _northing_, _reciprocal_, _SPACE_

19 from pygeodesy.interns import _C_ # PYCHOK used!

20 from pygeodesy.karney import _atan2d, _copysign, _diff182, _norm2, \

21 _norm180, _signBit, _sincos2d, fabs

22 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS

23 from pygeodesy.named import _NamedBase, _NamedTuple, nameof

24 from pygeodesy.namedTuples import EasNor2Tuple, EasNor3Tuple, \

25 LatLon2Tuple, LatLon4Tuple, _LL4Tuple

26 from pygeodesy.props import deprecated_Property_RO, Property, \

27 Property_RO, _update_all

28 from pygeodesy.streprs import Fmt, _fstrENH2, _fstrLL0, _xzipairs

29 from pygeodesy.units import Bearing, Degrees, Easting, Height, \

30 Lat_, Lon_, Northing, Scalar

31

32# from math import fabs # from .karney

33

34__all__ = _ALL_LAZY.css

35__version__ = '23.04.11'

36

37

38 def _CS0(cs0):

39 '''(INTERNAL) Get/set default projection.

40 '''

41 if cs0 is None:

42 cs0 = Css._CS0

43 if cs0 is None:

44 Css._CS0 = cs0 = CassiniSoldner(_0_0, _0_0, name='Default')

45 else:

46 _xinstanceof(CassiniSoldner, cs0=cs0)

47 return cs0

48

49

50 class CSSError(_ValueError):

51 '''Cassini-Soldner (CSS) conversion or other L{Css} issue.

52 '''

53 pass

54

55

56 class CassiniSoldner(_NamedBase):

57 '''Cassini-Soldner projection, a Python version of I{Karney}'s C++ class U{CassiniSoldner

58 <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1CassiniSoldner.html>}.

59 '''

60 _cb0 = _0_0

61 _datum = _WGS84 # L{Datum}

62 _geodesic = None

63 _latlon0 = ()

64 _meridian = None

65 _sb0 = _0_0

66

67 def __init__(self, lat0, lon0, datum=_WGS84, name=NN):

68 '''New L{CassiniSoldner} projection.

69

70 @arg lat0: Latitude of center point (C{degrees90}).

71 @arg lon0: Longitude of center point (C{degrees180}).

72 @kwarg datum: Optional datum or ellipsoid (L{Datum},

73 L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}).

74 @kwarg name: Optional name (C{str}).

75

76 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}.

77

78 @example:

79

80 >>> p = CassiniSoldner(48 + 50/60.0, 2 + 20/60.0) # Paris

81 >>> p.forward(50.9, 1.8) # Calais

82 (-37518.854545, 230003.561828)

83

84 >>> p.reverse4(-38e3, 230e3)

85 (50.899937, 1.793161, 89.580797, 0.999982)

86 '''

87 if datum not in (None, self._datum):

88 self._datum = _xellipsoidal(datum=_ellipsoidal_datum(datum, name=name))

89 if name:

90 self.name = name

91

92 self.reset(lat0, lon0)

93

94 @Property

95 def datum(self):

96 '''Get the datum (L{Datum}).

97 '''

98 return self._datum

99

100 @datum.setter # PYCHOK setter!

101 def datum(self, datum):

102 '''Set the datum or ellipsoid (L{Datum}, L{Ellipsoid}, L{Ellipsoid2}

103 or L{a_f2Tuple}) or C{None} for the default.

104 '''

105 d = CassiniSoldner._datum if datum is None else \

106 _xellipsoidal(datum=_ellipsoidal_datum(datum, name=self.name))

107 if self._datum != d:

108 self._datum = d

109 self.geodesic = None if self._geodesic is None else self.isExact

110

111 def _datumatch(self, latlon):

112 '''Check for matching datum ellipsoids.

113

114 @raise CSSError: Ellipsoid mismatch of B{C{latlon}} and this projection.

115 '''

116 d = getattr(latlon, _datum_, None)

117 if d:

118 _xdatum(self.datum, d, Error=CSSError)

119

120 @Property_RO

121 def equatoradius(self):

122 '''Get the ellipsoid's equatorial radius, semi-axis (C{meter}).

123 '''

124 return self.geodesic.a

125

126 a = equatoradius

127

128 @Property_RO

129 def flattening(self):

130 '''Get the ellipsoid's flattening (C{float}).

131 '''

132 return self.geodesic.f

133

134 f = flattening

135

136 def forward(self, lat, lon, name=NN):

137 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner

138 easting and northing.

139

140 @arg lat: Latitude of the location (C{degrees90}).

141 @arg lon: Longitude of the location (C{degrees180}).

142 @kwarg name: Name inlieu of this projection's name (C{str}).

143

144 @return: An L{EasNor2Tuple}C{(easting, northing)}.

145

146 @see: Methods L{CassiniSoldner.forward4}, L{CassiniSoldner.reverse}

147 and L{CassiniSoldner.reverse4}.

148

149 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}.

150 '''

151 t = self.forward6(lat, lon, name=name)

152 return EasNor2Tuple(t.easting, t.northing, name=t.name)

153

154 def forward4(self, lat, lon, name=NN):

155 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner

156 easting and northing.

157

158 @arg lat: Latitude of the location (C{degrees90}).

159 @arg lon: Longitude of the location (C{degrees180}).

160 @kwarg name: Name inlieu of this projection's name (C{str}).

161

162 @return: An L{EasNorAziRk4Tuple}C{(easting, northing,

163 azimuth, reciprocal)}.

164

165 @see: Method L{CassiniSoldner.forward}, L{CassiniSoldner.forward6},

166 L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}.

167

168 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}.

169 '''

170 t = self.forward6(lat, lon, name=name)

171 return EasNorAziRk4Tuple(t.easting, t.northing,

172 t.azimuth, t.reciprocal, name=t.name)

173

174 def forward6(self, lat, lon, name=NN):

175 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner

176 easting and northing.

177

178 @arg lat: Latitude of the location (C{degrees90}).

179 @arg lon: Longitude of the location (C{degrees180}).

180 @kwarg name: Name inlieu of this projection's name (C{str}).

181

182 @return: An L{EasNorAziRkEqu6Tuple}C{(easting, northing,

183 azimuth, reciprocal, equatorarc, equatorazimuth)}.

184

185 @see: Method L{CassiniSoldner.forward}, L{CassiniSoldner.forward4},

186 L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}.

187

188 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}.

189 '''

190 g = self.geodesic

191

192 lat = Lat_(lat, Error=CSSError)

193 d, _ = _diff182(self.lon0, Lon_(lon, Error=CSSError)) # _2sum

194 D = fabs(d)

195

196 r = g.Inverse(lat, -D, lat, D)

197 z1, a = r.azi1, (r.a12 * _0_5)

198 z2, e = r.azi2, (r.s12 * _0_5)

199 if e == 0: # PYCHOK no cover

200 z = _diff182(z1, z2)[0] * _0_5 # _2sum

201 c = _copysign(_90_0, 90 - D) # -90 if D > 90 else 90

202 z1, z2 = c - z, c + z

203 if _signBit(d):

204 a, e, z2 = neg(a), neg(e), z1

205

206 z = _norm180(z2) # azimuth of easting direction

207 p = g.Line(lat, d, z, g.DISTANCE | g.GEODESICSCALE | g.LINE_OFF)

208 # reciprocal of azimuthal northing scale

209 rk = p.ArcPosition(neg(a), g.GEODESICSCALE).M21

210 # rk = p._GenPosition(True, -a, g.DISTANCE)[7]

211

212 s, c = _sincos2d(p.azi0) # aka equatorazimuth

213 sb1 = _copysign(c, lat)

214 cb1 = _copysign(s, 90 - D) # -abs(s) if D > 90 else abs(s)

215 d = _atan2d(sb1 * self._cb0 - cb1 * self._sb0,

216 cb1 * self._cb0 + sb1 * self._sb0)

217 n = self._meridian.ArcPosition(d, g.DISTANCE).s12

218 # n = self._meridian._GenPosition(True, d, g.DISTANCE)[4]

219 return EasNorAziRkEqu6Tuple(e, n, z, rk, p.a1, p.azi0,

220 name=name or self.name)

221

222 @Property

223 def geodesic(self):

224 '''Get this projection's I{wrapped} U{geodesic.Geodesic

225 <https://GeographicLib.SourceForge.io/Python/doc/code.html>}, provided

226 I{Karney}'s U{geographiclib<https://PyPI.org/project/geographiclib>}

227 package is installed, otherwise an I{exact} L{GeodesicExact} instance.

228 '''

229 g = self._geodesic

230 if g is None:

231 E = self.datum.ellipsoid

232 try:

233 g = E.geodesic

234 except ImportError:

235 g = E.geodesicx

236 self._geodesic = g

237 return g

238

239 @geodesic.setter # PYCHOK setter!

240 def geodesic(self, exact):

241 '''Set this projection's geodesic (C{bool}) to L{GeodesicExact}

242 or I{wrapped Karney}'s or C{None} for the default.

243

244 @raise ImportError: Package U{geographiclib<https://PyPI.org/

245 project/geographiclib>} not installed or

246 not found and C{B{exact}=False}.

247 '''

248 E = self.datum.ellipsoid

249 self._geodesic = None if exact is None else (

250 E.geodesicx if exact else E.geodesic)

251 self.reset(*self.latlon0)

252

253 @Property_RO

254 def isExact(self):

255 '''Return C{True} if this projection's geodesic is L{GeodesicExact}.

256 '''

257 return isinstance(self.geodesic, _MODS.geodesicx.GeodesicExact)

258

259 @Property_RO

260 def lat0(self):

261 '''Get the center latitude (C{degrees90}).

262 '''

263 return self.latlon0.lat

264

265 @property

266 def latlon0(self):

267 '''Get the center lat- and longitude (L{LatLon2Tuple}C{(lat, lon)})

268 in (C{degrees90}, (C{degrees180}).

269 '''

270 return self._latlon0

271

272 @latlon0.setter # PYCHOK setter!

273 def latlon0(self, latlon0):

274 '''Set the center lat- and longitude (ellipsoidal C{LatLon},

275 L{LatLon2Tuple}, L{LatLon4Tuple} or a C{tuple} or C{list}

276 with the C{lat}- and C{lon}gitude in C{degrees}).

277

278 @raise CSSError: Invalid B{C{latlon0}} or ellipsoid mismatch

279 of B{C{latlon0}} and this projection.

280 '''

281 if islistuple(latlon0, 2):

282 lat0, lon0 = latlon0[:2]

283 else:

284 try:

285 lat0, lon0 = latlon0.lat, latlon0.lon

286 self._datumatch(latlon0)

287 except (AttributeError, TypeError, ValueError) as x:

288 raise CSSError(latlon0=latlon0, cause=x)

289 self.reset(lat0, lon0)

290

291 @Property_RO

292 def lon0(self):

293 '''Get the center longitude (C{degrees180}).

294 '''

295 return self.latlon0.lon

296

297 @deprecated_Property_RO

298 def majoradius(self): # PYCHOK no cover

299 '''DEPRECATED, use property C{equatoradius}.'''

300 return self.equatoradius

301

302 def reset(self, lat0, lon0):

303 '''Set or reset the center point of this Cassini-Soldner projection.

304

305 @arg lat0: Center point latitude (C{degrees90}).

306 @arg lon0: Center point longitude (C{degrees180}).

307

308 @raise CSSError: Invalid B{C{lat0}} or B{C{lon0}}.

309 '''

310 _update_all(self)

311

312 g = self.geodesic

313 self._meridian = m = g.Line(Lat_(lat0=lat0, Error=CSSError),

314 Lon_(lon0=lon0, Error=CSSError), _0_0,

315 g.STANDARD | g.DISTANCE_IN | g.LINE_OFF)

316 self._latlon0 = LatLon2Tuple(m.lat1, m.lon1)

317 s, c = _sincos2d(m.lat1) # == self.lat0 == self.LatitudeOrigin()

318 self._sb0, self._cb0 = _norm2(s * g.f1, c)

319

320 def reverse(self, easting, northing, name=NN, LatLon=None, **LatLon_kwds):

321 '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic

322 lat- and longitude.

323

324 @arg easting: Easting of the location (C{meter}).

325 @arg northing: Northing of the location (C{meter}).

326 @kwarg name: Name inlieu of this projection's name (C{str}).

327 @kwarg LatLon: Optional, ellipsoidal class to return the

328 geodetic location as (C{LatLon}) or C{None}.

329 @kwarg LatLon_kwds: Optional (C{LatLon}) keyword arguments,

330 ignored if C{B{LatLon} is None}.

331

332 @return: Geodetic location B{C{LatLon}} or if B{C{LatLon}}

333 is C{None}, a L{LatLon2Tuple}C{(lat, lon)}.

334

335 @raise CSSError: Ellipsoidal mismatch of B{C{LatLon}} and this projection.

336

337 @raise TypeError: Invalid B{C{LatLon}} or B{C{LatLon_kwds}}.

338

339 @see: Method L{CassiniSoldner.reverse4}, L{CassiniSoldner.forward}.

340 L{CassiniSoldner.forward4} and L{CassiniSoldner.forward6}.

341 '''

342 r = self.reverse4(easting, northing, name=name)

343 if LatLon is None:

344 r = LatLon2Tuple(r.lat, r.lon, name=r.name) # PYCHOK expected

345 else:

346 _xsubclassof(_LLEB, LatLon=LatLon)

347 kwds = _xkwds(LatLon_kwds, datum=self.datum, name=r.name)

348 r = LatLon(r.lat, r.lon, **kwds) # PYCHOK expected

349 self._datumatch(r)

350 return r

351

352 def reverse4(self, easting, northing, name=NN):

353 '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic

354 lat- and longitude.

355

356 @arg easting: Easting of the location (C{meter}).

357 @arg northing: Northing of the location (C{meter}).

358 @kwarg name: Name inlieu of this projection's name (C{str}).

359

360 @return: A L{LatLonAziRk4Tuple}C{(lat, lon, azimuth, reciprocal)}.

361

362 @see: Method L{CassiniSoldner.reverse}, L{CassiniSoldner.forward}

363 and L{CassiniSoldner.forward4}.

364 '''

365 g = self.geodesic

366 n = self._meridian.Position(northing)

367 r = g.Direct(n.lat2, n.lon2, n.azi2 + _90_0, easting, g.STANDARD | g.GEODESICSCALE)

368 z = _umod_360(r.azi2) # -180 <= r.azi2 < 180 ... 0 <= z < 360

369 # include z azimuth of easting direction and rk reciprocal

370 # of azimuthal northing scale (see C++ member Direct() 5/6

371 # <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1Geodesic.html>)

372 return LatLonAziRk4Tuple(r.lat2, r.lon2, z, r.M12, name=name or self.name)

373

374 toLatLon = reverse # XXX not reverse4

375

376 def toRepr(self, prec=6, **unused): # PYCHOK expected

377 '''Return a string representation of this projection.

378

379 @kwarg prec: Number of (decimal) digits, unstripped (C{int}).

380

381 @return: This projection as C{"<classname>(lat0, lon0, ...)"}

382 (C{str}).

383 '''

384 return _fstrLL0(self, prec, True)

385

386 def toStr(self, prec=6, sep=_SPACE_, **unused): # PYCHOK expected

387 '''Return a string representation of this projection.

388

389 @kwarg prec: Number of (decimal) digits, unstripped (C{int}).

390 @kwarg sep: Separator to join (C{str}).

391

392 @return: This projection as C{"lat0 lon0"} (C{str}).

393 '''

394 t = _fstrLL0(self, prec, False)

395 return t if sep is None else sep.join(t)

396

397

398 class Css(_NamedBase):

399 '''Cassini-Soldner East-/Northing location.

400 '''

401 _CS0 = None # default projection (L{CassiniSoldner})

402 _cs0 = None # projection (L{CassiniSoldner})

403 _easting = _0_0 # easting (C{float})

404 _height = 0 # height (C{meter})

405 _northing = _0_0 # northing (C{float})

406

407 def __init__(self, e, n, h=0, cs0=None, name=NN):

408 '''New L{Css} Cassini-Soldner position.

409

410 @arg e: Easting (C{meter}).

411 @arg n: Northing (C{meter}).

412 @kwarg h: Optional height (C{meter}).

413 @kwarg cs0: Optional, the Cassini-Soldner projection

414 (L{CassiniSoldner}).

415 @kwarg name: Optional name (C{str}).

416

417 @return: The Cassini-Soldner location (L{Css}).

418

419 @raise CSSError: If B{C{e}} or B{C{n}} is invalid.

420

421 @raise TypeError: If B{C{cs0}} is not L{CassiniSoldner}.

422

423 @raise ValueError: Invalid B{C{h}}.

424

425 @example:

426

427 >>> cs = Css(448251, 5411932.0001)

428 '''

429 self._cs0 = _CS0(cs0)

430 self._easting = Easting(e, Error=CSSError)

431 self._northing = Northing(n, Error=CSSError)

432 if h:

433 self._height = Height(h=h)

434 if name:

435 self.name = name

436

437 @Property_RO

438 def azi(self):

439 '''Get the azimuth of easting direction (C{degrees}).

440 '''

441 return self.reverse4.azimuth

442

443 azimuth = azi

444

445 @Property

446 def cs0(self):

447 '''Get the projection (L{CassiniSoldner}).

448 '''

449 return self._cs0 or Css._CS0

450

451 @cs0.setter # PYCHOK setter!

452 def cs0(self, cs0):

453 '''Set the I{Cassini-Soldner} projection (L{CassiniSoldner}).

454

455 @raise TypeError: Invalid B{C{cs0}}.

456 '''

457 cs0 = _CS0(cs0)

458 if cs0 != self._cs0:

459 _update_all(self)

460 self._cs0 = cs0

461

462# def dup(self, name=NN, **e_n_h_cs0): # PYCHOK signature

463# '''Duplicate this position with some attributes modified.

464#

465# @kwarg e_n_h_cs0: Use keyword argument C{B{e}=...}, C{B{n}=...},

466# C{B{h}=...} and/or C{B{cs0}=...} to override

467# the current C{easting}, C{northing} C{height}

468# or C{cs0} projectio, respectively.

469# '''

470# def _args_kwds(e=None, n=None, **kwds):

471# return (e, n), kwds

472#

473# kwds = _xkwds(e_n_h_cs0, e=self.easting, n=self.northing,

474# h=self.height, cs0=self.cs0,

475# name=name or self.name)

476# args, kwds = _args_kwds(**kwds)

477# return self.__class__(*args, **kwds) # .classof

478

479 @Property_RO

480 def easting(self):

481 '''Get the easting (C{meter}).

482 '''

483 return self._easting

484

485 @Property_RO

486 def height(self):

487 '''Get the height (C{meter}).

488 '''

489 return self._height

490

491 @Property_RO

492 def latlon(self):

493 '''Get the lat- and longitude (L{LatLon2Tuple}).

494 '''

495 r = self.reverse4

496 return LatLon2Tuple(r.lat, r.lon, name=self.name)

497

498 @Property_RO

499 def northing(self):

500 '''Get the northing (C{meter}).

501 '''

502 return self._northing

503

504 @Property_RO

505 def reverse4(self):

506 '''Get the lat, lon, azimuth and reciprocal (L{LatLonAziRk4Tuple}).

507 '''

508 return self.cs0.reverse4(self.easting, self.northing, name=self.name)

509

510 @Property_RO

511 def rk(self):

512 '''Get the reciprocal of azimuthal northing scale (C{scalar}).

513 '''

514 return self.reverse4.reciprocal

515

516 reciprocal = rk

517

518 def toLatLon(self, LatLon=None, height=None, **LatLon_kwds):

519 '''Convert this L{Css} to an (ellipsoidal) geodetic point.

520

521 @kwarg LatLon: Optional, ellipsoidal class to return the

522 geodetic point (C{LatLon}) or C{None}.

523 @kwarg height: Optional height for the point, overriding the

524 default height (C{meter}).

525 @kwarg LatLon_kwds: Optional, additional B{C{LatLon}} keyword

526 arguments, ignored if C{B{LatLon} is None}.

527

528 @return: The geodetic point (B{C{LatLon}}) or if B{C{LatLon}}

529 is C{None}, a L{LatLon4Tuple}C{(lat, lon, height,

530 datum)}.

531

532 @raise TypeError: If B{C{LatLon}} or B{C{datum}} is not

533 ellipsoidal or invalid B{C{height}} or

534 B{C{LatLon_kwds}}.

535 '''

536 if LatLon:

537 _xsubclassof(_LLEB, LatLon=LatLon)

538

539 lat, lon = self.latlon

540 h = self.height if height is None else Height(height)

541 return _LL4Tuple(lat, lon, h, self.cs0.datum, LatLon, LatLon_kwds,

542 inst=self, name=self.name)

543

544 def toRepr(self, prec=6, fmt=Fmt.SQUARE, sep=_COMMASPACE_, m=_m_, C=False): # PYCHOK expected

545 '''Return a string representation of this L{Css} position.

546

547 @kwarg prec: Number of (decimal) digits, unstripped (C{int}).

548 @kwarg fmt: Enclosing backets format (C{str}).

549 @kwarg sep: Optional separator between name:values (C{str}).

550 @kwarg m: Optional unit of the height, default meter (C{str}).

551 @kwarg C: Optionally, include name of projection (C{bool}).

552

553 @return: This position as C{"[E:meter, N:meter, H:m, name:'',

554 C:Conic.Datum]"} (C{str}).

555 '''

556 t, T = _fstrENH2(self, prec, m)

557 if self.name:

558 t += repr(self.name),

559 T += _name_,

560 if C:

561 t += self.cs0.toRepr(prec=prec),

562 T += _C_,

563 return _xzipairs(T, t, sep=sep, fmt=fmt)

564

565 def toStr(self, prec=6, sep=_SPACE_, m=_m_): # PYCHOK expected

566 '''Return a string representation of this L{Css} position.

567

568 @kwarg prec: Number of (decimal) digits, unstripped (C{int}).

569 @kwarg sep: Optional separator to join (C{str}) or C{None}

570 to return an unjoined C{tuple} of C{str}s.

571 @kwarg m: Height units, default C{meter} (C{str}).

572

573 @return: This position as C{"easting nothing"} C{str} in

574 C{meter} plus C{" height"} and C{'m'} if height

575 is non-zero (C{str}).

576 '''

577 t, _ = _fstrENH2(self, prec, m)

578 return t if sep is None else sep.join(t)

579

580

581 class EasNorAziRk4Tuple(_NamedTuple):

582 '''4-Tuple C{(easting, northing, azimuth, reciprocal)} for the

583 Cassini-Soldner location with C{easting} and C{northing} in

584 C{meters} and the C{azimuth} of easting direction and

585 C{reciprocal} of azimuthal northing scale, both in C{degrees}.

586 '''

587 _Names_ = (_easting_, _northing_, _azimuth_, _reciprocal_)

588 _Units_ = ( Easting, Northing, Bearing, Scalar)

589

590

591 class EasNorAziRkEqu6Tuple(_NamedTuple):

592 '''6-Tuple C{(easting, northing, azimuth, reciprocal, equatorarc,

593 equatorazimuth)} for the Cassini-Soldner location with

594 C{easting} and C{northing} in C{meters} and the C{azimuth} of

595 easting direction, C{reciprocal} of azimuthal northing scale,

596 C{equatorarc} and C{equatorazimuth}, all in C{degrees}.

597 '''

598 _Names_ = EasNorAziRk4Tuple._Names_ + ('equatorarc', 'equatorazimuth')

599 _Units_ = EasNorAziRk4Tuple._Units_ + ( Degrees, Bearing)

600

601

602 class LatLonAziRk4Tuple(_NamedTuple):

603 '''4-Tuple C{(lat, lon, azimuth, reciprocal)}, all in C{degrees}

604 where C{azimuth} is the azimuth of easting direction and

605 C{reciprocal} the reciprocal of azimuthal northing scale.

606 '''

607 _Names_ = (_lat_, _lon_, _azimuth_, _reciprocal_)

608 _Units_ = ( Lat_, Lon_, Bearing, Scalar)

609

610

611 def toCss(latlon, cs0=None, height=None, Css=Css, name=NN):

612 '''Convert an (ellipsoidal) geodetic point to a Cassini-Soldner

613 location.

614

615 @arg latlon: Ellipsoidal point (C{LatLon} or L{LatLon4Tuple}).

616 @kwarg cs0: Optional, the Cassini-Soldner projection to use

617 (L{CassiniSoldner}).

618 @kwarg height: Optional height for the point, overriding the

619 default height (C{meter}).

620 @kwarg Css: Optional class to return the location (L{Css}) or C{None}.

621 @kwarg name: Optional B{C{Css}} name (C{str}).

622

623 @return: The Cassini-Soldner location (B{C{Css}}) or an

624 L{EasNor3Tuple}C{(easting, northing, height)}

625 if B{C{Css}} is C{None}.

626

627 @raise CSSError: Ellipsoidal mismatch of B{C{latlon}} and B{C{cs0}}.

628

629 @raise ImportError: Package U{geographiclib<https://PyPI.org/

630 project/geographiclib>} not installed or

631 not found.

632

633 @raise TypeError: If B{C{latlon}} is not ellipsoidal.

634 '''

635 _xinstanceof(_LLEB, LatLon4Tuple, latlon=latlon)

636

637 cs = _CS0(cs0)

638 cs._datumatch(latlon)

639

640 c = cs.forward4(latlon.lat, latlon.lon)

641 h = latlon.height if height is None else Height(height)

642 n = name or nameof(latlon)

643

644 if Css is None:

645 r = EasNor3Tuple(c.easting, c.northing, h, name=n)

646 else:

647 r = Css(c.easting, c.northing, h=h, cs0=cs, name=n)

648 r._latlon = LatLon2Tuple(latlon.lat, latlon.lon, name=n)

649 r._azi, r._rk = c.azimuth, c.reciprocal

650 return r

651

652# **) MIT License

653#

654# Copyright (C) 2016-2023 -- mrJean1 at Gmail -- All Rights Reserved.

655#

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

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

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

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

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

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

662#

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

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

665#

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

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

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

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

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

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

672# OTHER DEALINGS IN THE SOFTWARE.