Coverage for pyrdnap/rd0.py: 99%

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

4u'''(INTERNAL) RijksDriehoeksmeting C{_RD} and reference C{_RD0}

5constants and classes C{RDNAP7Tuple} and C{LqRD}.

6'''

7# make sure int/int division yields float quotient, see .basics

8from __future__ import division as _; del _ # noqa: E702 ;

10from pyrdnap.v_grids import _v_assert

11from pyrdnap.__pygeodesy import (_0_5, _1_0, _2_0, # PYCHOK used!

12 _isNAN, _isNAN0, _xinstanceof, _xsubclassof,

13 _LLEB, _xkwds,

14 _COMMASPACE_, _datum_, _lat_, _lon_, _height_,

15 _ALL_OTHER, _FOR_DOCS, _Pass, _NamedTuple)

16from pygeodesy import (NAN, NN, map1, map2, # basics, "consterns"

17 Datum, Datums, Similarity, # datums

18 Bounds4Tuple, LatLon2Tuple, PhiLam2Tuple, # namedTuples

19 Vector2Tuple, Vector3Tuple, LqRD as _LqRD, # ltp

20 Property_RO, property_ROnce, # props

21 pairs, # streprs

22 Height, Lamd, Lat, Lon, Meter, Phi, Phid, # units

23 sincos2, tanPI_2_2) # utily

25from math import atan2, ceil, fabs, floor, log, sin, sqrt

27__all__ = ()

28__version__ = '26.06.14'

30_LQRD0 = _LqRD() # get Amersfoort, region4, etc. (deleted below)

33def _c_f_N_f3(*deg_SW_D):

34 # return int(ceil) and int(floor) of Normalized

35 # and (Normalized less floor) of C{deg} degrees

36 N = _degN(*deg_SW_D)

37 # assert N >= 0, N

38 f = floor(N)

39 return int(ceil(N)), int(f), (N - f)

42def _degN(deg, degSW, deg_D):

43 # return C{deg} Normalized

44 return (deg - degSW) * deg_D

47class _RDbase(object):

48 '''(INTERNAL) Base.

49 '''

50 def _preDict(self, _pred, **d):

51 # return updated dict C{d}

52 for n in self.__class__.__dict__.keys():

53 if _pred(n):

54 d[n] = getattr(self, n)

55 return d

57 def toStr(self, prec=9, **fmt_ints):

58 # return this C{_RDx} as string

59 d = self._toDict() # PYCHOK OK

60 t = pairs(d, prec=prec, **fmt_ints)

61 return _COMMASPACE_(*t)

64class _RD(_RDbase):

65 '''(INTERNAL) Bounds, constants for RDNAP2018 (ASCII.txt).

66 '''

67 lat_D = Lat(lat_D=80.0) # == 1 / 0.0125 # degrees, all

68 lon_D = Lon(lon_D=50.0) # == 1 / 0.02

70 def __init__(self):

71 S, W, N, E = self._region4RD

72 nlat = _degN(N, S, self.lat_D) + _1_0 # 2.3.2g n-phi

73 nlon = _degN(E, W, self.lon_D) + _1_0 # 2.3.2g n-lambda

74 _v_assert(map1(int, nlat, nlon))

76 def _c_f_N_f6(self, lat, lon):

77 # return (int(ceil), int(floor), Normalized less floor) of C{lat}) + \

78 # (int(ceil), int(floor), Normalized less floor) of C{lon})

79 S, W, _, _ = self._region4RD

80 return _c_f_N_f3(lat, S, self.lat_D) + \

81 _c_f_N_f3(lon, W, self.lon_D)

83 def isinside(self, lat, lon, asRD=True, eps=0): # eps=_TOL_D, 0 or -_TOLD_D

84 '''Is C{(lat, lon)} inside the C{RD} or C{ETRS} region, optionally

85 over-/undersized by positive respectively negative C{eps} degrees?

87 @return: C{True} if inside or on, otherwise C{False} (C{bool}).

88 '''

89 S, W, N, E = self._region4RD if asRD else self._region4ETRS

90 # XXX use "< N" and "< E" instead of "<="?

91 return ((S - lat) <= eps and (lat - N) <= eps and

92 (W - lon) <= eps and (lon - E) <= eps) if eps else \

93 (S <= lat <= N and W <= lon <= E)

95 @property_ROnce

96 def _RDNAPv0(self):

97 from pyrdnap.rdnap2018 import _RDNAPbase

98 return _RDNAPbase() # singleton, instance!

100 @property_ROnce

101 def _region4ETRS(self): # as ETRS L{Bounds4Tuple}

102 return self._RDNAPv0.region4(False)

103

104 _region4RD = _LQRD0.region4() # as RD-Bessel L{Bounds4Tuple}, in .rdnap2018

105

106 def _toDict(self):

107 def _p(n): # lambda

108 return n.endswith('D') or n.endswith('S')

109

110 return self._preDict(_p)

111

112 @property_ROnce

113 def _xETRS2RD(self): # transform ETRS (GRS80) to RD-Bessel

114 return Similarity(tx=-565.7346, ty=-50.4058, tz=-465.2895, s=-4.07242,

115 rx=-1.91513, ry=1.60365, rz=-9.09546, name='_xETRS2RD')

116

117 @property_ROnce

118 def _xRD2ETRS(self): # transform RD-Bessel to ETRS (GRS80)

119 return Similarity(tx=565.7381, ty=50.4018, tz=465.2904, s=4.07244,

120 rx=1.91514, ry=-1.60363, rz=9.09546, name='_xRD2ETRS')

121

122 # % python -c "import pyrdnap; print(pyrdnap.rd0._RD.toStr())"

123 # _region4ETRS=ETRS region (latS=49.999276, lonW=2.000032, latN=55.998561, lonE=7.999158),

124 # _region4RD=RD region (latS=50.0, lonW=2.0, latN=56.0, lonE=8.0),

125 # _xETRS2RD=Similarity(name='_xETRS2RD', tx=-565.73, ty=-50.406, tz=-465.29, s=-4.0724,

126 # rx=-1.9151, ry=1.6037, rz=-9.0955),

127 # _xRD2ETRS=Similarity(name='_xRD2ETRS', tx=565.74, ty=50.402, tz=465.29, s=4.0724,

128 # rx=1.9151, ry=-1.6036, rz=9.0955),

129 # lat_D=80.0, lon_D=50.0 # 1 / DELTA

130

131_RD = _RD() # PYCHOK singleton, in .test/testRndTrips

132

133

134class _RD0(_RDbase):

135 '''(INTERNAL) C{RD} Amersfoort, NL / C{RD New} constants for RDNAP2018 (ASCII.txt).

136

137 @see: U{EPSG:9809<https://EPSG.io/9809-method>}, U{"Oblique Stereographic"

138 <https://PROJ.org/en/stable/operations/projections/sterea.html>} and

139 <http://geotiff.maptools.org/proj_list/oblique_stereographic.html>

140 '''

141 H0 = Meter(H0 =_LQRD0.height0) # Amersfoort.height0 0.0 m

142 H0_ETRS = Meter(H0_ETRS=_LQRD0.height0_ETRS) # 43.0 m

143 K0 = 0.9999079 # 2.4.1 scale factor

144 LAT0 = Lat(LAT0=_LQRD0.Amersfoort.lat) # '52 9 22.178N' == 52.156160555555+°

145 LON0 = Lon(LON0=_LQRD0.Amersfoort.lon) # ' 5 23 15.5E' == 5.387638888888+°

146 LAM0C = \

147 LAM0 = Lamd(LAM0=LON0) # 𝜆0, 𝛬0 = 𝜆0 on sphere 0.094032038

148 PHI0 = Phid(PHI0=LAT0) # 𝜑0 0.910296727, PHI0C 𝛷0 set below

149 X0 = Meter(X0=155000.0) # false Easting 155029.784?

150 Y0 = Meter(Y0=463000.0) # false Norting 463109.889?

151

152# @property_ROnce

153# def C0(self): # c, sphere

154# s, _ = self.sincos2PHI0

155# w = self._w1(s)

156# c = (w - _1_0) / (w + _1_0)

157# return (((self.N0 + s) * (_1_0 - c)) /

158# ((self.N0 - s) * (_1_0 + c)))

159

160# def chilam(self, lat, lon): # EPSG:9809

161# # return 2-tuple (chi, lam), conformal in radians

162# s, _ = sincos2d(lat)

163# w2 = self._w1(s) * self.C0

164# s = (w2 - _1_0) / (w2 + _1_0)

165# r = radians(lon - self.LON0) * self.N0

166# return asin(s), r

167

168 @property_ROnce

169 def D0(self): # lazily

170 return Datums.Bessel1841

171

172 @property_ROnce

173 def D80(self): # lazily

174 return Datums.GRS80

175

176 @property_ROnce

177 def E0(self): # lazily

178 return self.D0.ellipsoid

179

180 def log_e_2(self, phi):

181 e = self.E0.e

182 p = e * sin(phi)

183 return log((_1_0 + p) / (_1_0 - p)) * (e * _0_5)

184

185 def log_tan(self, phi):

186 return log(tanPI_2_2(phi)) # tan((phi + PI/2) / 2)

187

188 @property_ROnce

189 def M0(self): # 2.4.1 p 15 m

190 return self.W0 - self.N0 * self.Q0

191

192 @property_ROnce

193 def N0(self): # 2.4.1 p 15 n, sphere

194 E = self.E0

195 _, c = self.sincos2PHI0

196 return sqrt(c**4 * E.e2 / E.e21 + _1_0)

197

198 @property_ROnce

199 def PHI0C(self): # 2.4.1 p 15 𝛷0, Amersfoort latitude on sphere

200 m, n = self.Rmn2

201 s, c = self.sincos2PHI0

202 return Phi(PHI0C=atan2(m * s, n * c)) # atan((m / n) * tan(PHI0))

203

204 @property_ROnce

205 def Q0(self): # 2.4.1 p 15 q0

206 return self.log_tan(self.PHI0) - self.log_e_2(self.PHI0)

207

208 @property_ROnce

209 def R(self): # 2.4.1 p 15 R, radius conformal sphere

210 m, n = self.Rmn2

211 return m * n

212

213 @property_ROnce

214 def RK2(self): # 2.4.2

215 return self.R * self.K0 * _2_0

216

217 @property_ROnce

218 def Rmn2(self): # 2.4.1 p 15 (sqrt(RsubM), sqrt(RsubN))

219 # RsubM, RsubN == RHO0, NU0 EPSG:9809

220 E = self.E0

221 s, _ = self.sincos2PHI0

222 s = _1_0 - s**2 * E.e2

223 # assert s > 0

224 N = E.a / sqrt(s)

225 # assert N > 0

226 M = E.e21 * N / s

227 # assert M > 0

228 return map1(sqrt, M, N) # sqrt!

229

230 @property_ROnce

231 def sincos2PHI0(self): # 𝜑0

232 return sincos2(self.PHI0)

233

234 @property_ROnce

235 def sincos2PHI0C(self): # 𝛷0

236 return sincos2(self.PHI0C)

237

238 def _toDict(self):

239 def _p(n): # lambda

240 return n.endswith('0') or n.startswith('R') or \

241 n.endswith('0C') # _0_

242

243 return self._preDict(_p, H0_ETRS=self.H0_ETRS)

244

245 @property_ROnce

246 def W0(self): # 2.4.1 p 15 w0

247 return self.log_tan(self.PHI0C) # 𝛷0

248

249# def _w1(self, sphi): # EPSG:9809

250# w1 = NAN

251# if _1_0 > sphi > _N_1_0:

252# e = self.E0.e

253# S = (_1_0 + sphi) / (_1_0 - sphi)

254# T = (_1_0 - sphi * e) / (_1_0 + sphi * e)

255# w1 = pow(pow(T, e) * S, self.N0)

256# return w1

257

258 # % python -c "import pyrdnap; print(pyrdnap.rd0._RD0.toStr())"

259 # D0=Datum(name='Bessel1841', ellipsoid=Ellipsoids.Bessel1841, transform=Transforms.Bessel1841),

260 # D80=Datum(name='GRS80', ellipsoid=Ellipsoids.GRS80, transform=Transforms.WGS84),

261 # E0=Ellipsoid(name='Bessel1841', a=6377397.155, f=0.00334277, f_=299.1528128, b=6356078.962818),

262 # H0=0.0, H0_ETRS=43.0, K0=0.9999079, LAM0=0.094032038, LAM0C=0.094032038,

263 # LAT0=52.156160556, LON0=5.387638889, M0=0.003773954, N0=1.000475857,

264 # PHI0=0.910296727, PHI0C=0.909684757, Q0=1.06531844,

265 # R=6382644.571035411, RK2=12764113.458940838, Rmn2=(2524.794785679199, 2527.9854850929623),

266 # sincos2PHI0=(0.7896858198001045, 0.6135114554811807),

267 # sincos2PHI0C=(0.7893102212553742, 0.6139946047171686),

268 # W0=1.069599332, X0=155000.0, Y0=463000.0

269

270_RD0 = _RD0() # PYCHOK singleton, in .test/testRndTrips

271

272

273class RDNAP7Tuple(_NamedTuple): # in .v_self

274 '''7-Tuple C{(RDx, RDy, NAPh, lat, lon, height, datum)} with I{local} C{RDx},

275 C{RDy} and C{NAPh} quasi-geoid_height, geodetic C{lat}, C{lon}, C{height}

276 and C{datum} with C{lat} and C{lon} in C{degrees} and with C{RDx}, C{RDy},

277 C{NAPh} and C{height} in C{meter}, conventionally.

278

279 @note: The C{lat}, C{lon} and C{datum} are I{by default} B{GRS80 (ETRS89)}

280 geodetic when returned from L{RDNAP2018v1.reverse} but B{Bessel1841

281 (RD-Bessel)} from L{RDNAP2018v2.reverse}.

282 '''

283 _Names_ = ('RDx', 'RDy', 'NAPh', _lat_, _lon_, _height_, _datum_)

284 _Units_ = ( Meter, Meter, Meter, Lat, Lon, Height, _Pass)

285

286 @property_ROnce

287 def _datum_index(self):

288 return self._Names_.index(_datum_)

289

290 def diff(self, other, datum=None, **name):

291 '''Return the difference between this and an C{other} C{RDNAP7Tuple}.

292

293 @kwarg datum: Optional difference C{B{datum}=None} (C{Latum}).

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

295

296 @return: An L{RDNAP7Tuple} with the C{_diff} for each item, but

297 C{datum=B{datum}}.

298 '''

299 def _diff(a, b):

300 return fabs(a - b)

301

302 _xinstanceof(RDNAP7Tuple, other=other)

303 d = self._datum_index

304 t = map2(_diff, self[:d], other[:d])

305 return RDNAP7Tuple(t + (datum,), **name)

306

307 @Property_RO

308 def lam(self):

309 '''Get the longitude (B{C{radians}}).

310 '''

311 return Lamd(self.lon) # PYCHOK lon

312

313 @Property_RO

314 def latlon(self):

315 '''Get the lat-, longitude in C{degrees} (L{LatLon2Tuple}C{(lat, lon)}).

316 '''

317 return LatLon2Tuple(self.lat, self.lon, name=self.name)

318

319 @Property_RO

320 def latlonheight(self):

321 '''Get the lat-, longitude in C{degrees} and height (L{LatLon3Tuple}C{(lat, lon, height)}).

322 '''

323 return self.latlon.to3Tuple(self.height)

324

325 @Property_RO

326 def latlonheightdatum(self):

327 '''Get the lat-, longitude in C{degrees} with height and datum (L{LatLon4Tuple}C{(lat, lon, height, datum)}).

328 '''

329 return self.latlonheight.to4Tuple(self.datum)

330

331 @Property_RO

332 def phi(self):

333 '''Get the latitude (B{C{radians}}).

334 '''

335 return Phid(self.lat) # PYCHOK lat

336

337 @Property_RO

338 def philam(self):

339 '''Get the lat- and longitude in C{radians} (L{PhiLam2Tuple}C{(phi, lam)}).

340 '''

341 return PhiLam2Tuple(self.phi, self.lam, name=self.name) # PYCHOK lam, phi

342

343 @Property_RO

344 def philamheight(self):

345 '''Get the lat-, longitude in C{radians} and height (L{PhiLam3Tuple}C{(phi, lam, height)}).

346 '''

347 return self.philam.to3Tuple(self.height) # PYCHOK height

348

349 @Property_RO

350 def philamheightdatum(self):

351 '''Get the lat-, longitude in C{radians} with height and datum (L{PhiLamn4Tuple}C{(phi, lam, height, datum)}).

352 '''

353 return self.philamheight.to4Tuple(self.datum)

354

355 def toDatum(self, datum2, **name):

356 '''Convert this C{lat}, C{lon} and C{height} to B{C{datum2}}.

357

358 @arg datum2: Datum to convert I{to} (L{Datum}).

359 @kwarg name: Optional name (C{str}), overriding this name.

360

361 @return: An L{RDNAP7Tuple} with transformed C{lat}, C{lon} and C{height}

362 or this L{RDNAP7Tuple} if this.datum is B{C{datum2}}.

363

364 @note: This datum conversion is based on C{pygeodesy} which differs from

365 C{RDNAPTRANS(tm)2018_v220627}.

366

367 @see: Methods L{RDNAP7Tuple.asETRS} and L{RDNAP7Tuple.asRD}.

368 '''

369 _xinstanceof(Datum, datum2=datum2)

370 if self.datum is datum2 or self.datum == datum2: # PYCHOK datum

371 return self

372 g = self.toLatLon(_LLEB).toDatum(datum2)

373 h = NAN if _isNAN(self.height) else g.height # PYCHOK preserve height NAN

374 return self.dup(lat=g.lat, lon=g.lon, datum=g.datum, height=h,

375 **_xkwds(name, name=self.name))

376

377 def toETRS(self, **name):

378 '''Copy this L{RDNAP7Tuple} with C{lat} and C{lon} C{reverse3} transformed

379 to ETRS89 (GRS80), provided this C{datum} is Bessel1841 (RD-Bessel).

380

381 @kwarg name: Optional name (C{str}), overriding this name.

382

383 @see: Methods L{RDNAP7Tuple.toRD} and L{RDNAP7Tuple.toDatum}.

384 '''

385 return self._toX(_RD0.D0, _RD._RDNAPv0.reverse3, name)

386

387 def toLatLon(self, LatLon, **LatLon_kwds):

388 '''Return this C{lat}, C{lon}, C{datum} and C{height} as B{C{LatLon}}.

389

390 @arg LatLon: An ellipsodial C{LatLon} class (C{pygeodesy.ellipsoidal*}).

391 @kwarg LatLon_kwds: Optional, additional B{C{LatLon}} keyword arguments.

392

393 @return: An B{C{LatLon}} instance.

394

395 @raise TypeError: B{C{LatLon}} not ellipsoidal or an other issue.

396 '''

397 _xsubclassof(_LLEB, LatLon=LatLon)

398 h = _isNAN0(self.height) # PYCHOK height

399 kwds = _xkwds(LatLon_kwds, name=self.name, height=h)

400 return LatLon(self.lat, self.lon, datum=self.datum, **kwds) # PYCHOK datum

401

402 def toRD(self, **name):

403 '''Copy this L{RDNAP7Tuple} with C{lat} and C{lon} C{forward3} transformed

404 to RD-Bessel (Bessel1841), provided this C{datum} is GRS80 (ETRS89).

405

406 @kwarg name: Optional name (C{str}), overriding this name.

407

408 @see: Methods L{RDNAP7Tuple.toETRS} and L{RDNAP7Tuple.toDatum}.

409 '''

410 return self._toX(_RD0.D80, _RD._RDNAPv0.forward3, name)

411

412 def _toX(self, datum, _xform, name):

413 # helper for C{toETRS} and C{toRD}

414 if self.datum is datum or self.datum == datum: # PYCHOK datum

415 lat, lon, d = _xform(*self.latlon)

416 return self.dup(lat=lat, lon=lon, datum=d,

417 **_xkwds(name, name=self.name))

418 return self

419

420 @Property_RO

421 def xy(self):

422 '''Get the I{local} C{(RDx, RDy)} coordinates (L{Vector2Tuple}C{(x, y)}).

423 '''

424 return Vector2Tuple(self.RDx, self.RDy, name=self.name)

425

426 @Property_RO

427 def xyz(self):

428 '''Get the I{local} C{(RDx, RDy, NAPh)} coordinates and height (L{Vector3Tuple}C{(x, y, z)}).

429 '''

430 return Vector3Tuple(self.RDx, self.RDy, self.NAPh, name=self.name)

431

432

433class LqRD(_LqRD):

434 '''Like U{pygeodesy.LqRD<https://mrJean1.GitHub.io/PyGeodesy/docs/pygeodesy.ltp.LqRD-class.html>}

435 but with methods C{forward} and C{reverse} returning an L{RDNAP7Tuple} with C{NAPh} replaced

436 by I{local} C{z}, the perpendicular distance to the local tangent plane (LTP).

437

438 This C{quasi-RD} transformer B{does not} implement any U{RD NAP<https://www.NSGI.NL/

439 coordinatenstelsels-en-transformaties/coordinatentransformaties/rdnap-etrs89-rdnaptrans>}

440 specification and B{does not} provide I{Netherlands}' C{B{N}ormaal B{A}msterdams B{P}eil

441 (NAP)} quasi-geodetic-height.

442 '''

443 if _FOR_DOCS:

444 __init__ = _LqRD.__init__

445

446 def forward(self, lat_latlonh, lon=None, height=0, **name): # PYCHOK signature

447 '''Convert I{geodetic} C{(lat, lon, height)} to I{local} C{quasi-RD (x, y, z)}.

448

449 @arg lat_latlonh: C{Scalar} (geodetic) latitude (C{degrees}) or a I{local}

450 C{quasi-RD} L{RDNAP7Tuple}.

451 @kwarg lon: C{Scalar} (geodetic) longitude (C{degrees}) iff B{C{lat_latlonh}}

452 is C{scalar}, ignored otherwise.

453 @kwarg height: Optional height (C{meter}, conventionally) perpendicular to and

454 above (or below) the ellipsoid's surface, iff B{C{lat_latlonh}}

455 is C{scalar}, ignored otherwise.

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

457

458 @return: An L{RDNAP7Tuple}C{(RDx, RDy, NAPh, lat, lon, height, datum)} with

459 C{NAPh} set to I{local} C{z}.

460

461 @see: C{pygeodesy.LqRD.forward} for more information.

462 '''

463 t = _LqRD.forward(self, lat_latlonh, lon=lon, height=height)

464 return LqRD._l9t2r7t(t, **name)

465

466 def reverse(self, x_xyz, y=None, z=None, **name): # PYCHOK signature

467 '''Convert I{local} C{quasi-RD (x, y, z)} to I{geodetic} C{(lat, lon, height)}.

468

469 @arg x_xyz: Local C{quasi-RD x} coordinate (C{scalar}) or a I{local}

470 C{quasi-RD} L{RDNAP7Tuple}.

471 @kwarg y: Local C{quasi-RD y} coordinate (C{meter}) iff B{C{x_xyz}} is

472 C{scalar}, ignored otherwise.

473 @kwarg z: Local C{z} coordinate (C{meter}) iff B{C{x_xyz}} is C{scalar},

474 ignored otherwise.

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

476

477 @return: An L{RDNAP7Tuple}C{(RDx, RDy, NAPh, lat, lon, height, datum)}

478 with C{NAPh} set to I{local} B{C{z}}.

479

480 @see: C{pygeodesy.LqRD.reverse} for more information.

481 '''

482 t = _LqRD.reverse(self, x_xyz, y=y, z=z)

483 return LqRD._l9t2r7t(t, **name)

484

485 @staticmethod

486 def _l9t2r7t(t, name=NN, **unused): # M=False

487 return RDNAP7Tuple(t.x, t.y, t.z, # NAPh = t.z

488 t.lat, t.lon, t.height, t.ecef.datum, name=name or t.name)

489

490

491__all__ += _ALL_OTHER(LqRD, RDNAP7Tuple, Bounds4Tuple, # passed along from PyGeodesy

492 Datums, LatLon2Tuple, PhiLam2Tuple, Similarity, Vector2Tuple, Vector3Tuple)

493del _LQRD0

494

495# **) MIT License

496#

498#

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Coverage for pyrdnap / rd0.py: 99%

203 statements