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 (map1, map2, NAN, NN, # basics, "consterns"

17 Datum, Datums, Similarity, # datums

18 Ellipsoid, Ellipsoids, LqRD as _LqRD, # ellipsoids, ltp

19 Bounds4Tuple, LatLon2Tuple, LatLon3Tuple, LatLon4Tuple, # namedTuples

20 PhiLam2Tuple, PhiLam3Tuple, PhiLam4Tuple, Vector2Tuple, Vector3Tuple,

21 Property_RO, property_ROnce, pairs, # props, streprs

22 Height, Lam, 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__ = '26.07.07'

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) # degrees, all

68 lon_D = Lon(lon_D=50.0)

70# latD = Lat(latD=1 / lat_D) # degrees, all

71# lonD = Lon(lonD=1 / lon_D)

73 def __init__(self):

74 S, W, N, E = self._region4

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

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

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

79 def _c_f_N_f6(self, lat, lon):

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

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

82 S, W, _, _ = self._region4

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

84 _c_f_N_f3(lon, W, self.lon_D)

86 @property_ROnce

87 def _RDNAPv0(self):

88 from pyrdnap.rdnap2018 import _RDNAPbase

89 return _RDNAPbase() # singleton, instance!

91 _region4 = _LQRD0.region4() # in .rdnap2018 Bounds4Tuple

93 def _toDict(self):

94 def _p(n): # lambda

95 return any(map(n.endswith, '4DS'))

97 return self._preDict(_p)

99 @property_ROnce

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

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

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

103

104 @property_ROnce

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

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

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

108

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

110 # _region4=RD region (latS=50.0, lonW=2.0, latN=56.0, lonE=8.0),

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

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

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

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

115 # lat_D=80.0, lon_D=50.0 # latD=0.0125, lonD=0.02

116

117_RD = _RD() # PYCHOK singleton, in .test/testRndTrips

118

119

120class _RD0(_RDbase):

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

122

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

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

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

126 '''

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

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

129 K0 = 0.9999079 # 2.4.1 scale factor

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

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

132 LAM0 = Lamd(LAM0=LON0) # 𝜆0, 0.094032038

133 LAM0C = Lam(LAM0C=LAM0) # 𝛬0 on sphere == 𝜆0

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

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

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

137

138# @property_ROnce

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

140# s, _ = self.sincos2PHI0

141# w = self._w1(s)

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

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

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

145

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

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

148# s, _ = sincos2d(lat)

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

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

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

152# return asin(s), r

153

154 @property_ROnce

155 def D0(self): # lazily

156 return Datums.Bessel1841

157

158 @property_ROnce

159 def D80(self): # lazily

160 return Datums.GRS80

161

162 @property_ROnce

163 def E0(self): # lazily

164 return self.D0.ellipsoid

165

166 def log_e_2(self, phi):

167 e = self.E0.e

168 p = e * sin(phi)

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

170

171 def log_tan(self, phi):

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

173

174 @property_ROnce

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

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

177

178 @property_ROnce

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

180 E = self.E0

181 _, c = self.sincos2PHI0

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

183

184 @property_ROnce

185 def PHI0C(self): # 2.4.1 p 15 𝛷0 on sphere

186 m, n = self.Rmn2

187 s, c = self.sincos2PHI0

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

189

190 @property_ROnce

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

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

193

194 @property_ROnce

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

196 m, n = self.Rmn2

197 return m * n

198

199 @property_ROnce

200 def RK2(self): # 2.4.2

201 return self.R * self.K0 * _2_0

202

203 @property_ROnce

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

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

206 E = self.E0

207 s, _ = self.sincos2PHI0

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

209 # assert s > 0

210 N = E.a / sqrt(s)

211 # assert N > 0

212 M = E.e21 * N / s

213 # assert M > 0

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

215

216 @property_ROnce

217 def sincos2PHI0(self): # 𝜑0

218 return sincos2(self.PHI0)

219

220 @property_ROnce

221 def sincos2PHI0C(self): # 𝛷0

222 return sincos2(self.PHI0C)

223

224 def _toDict(self):

225 def _p(n): # lambda

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

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

228

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

230

231 @property_ROnce

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

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

234

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

236# w1 = NAN

237# if _1_0 > sphi > _N_1_0:

238# e = self.E0.e

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

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

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

242# return w1

243

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

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

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

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

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

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

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

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

252 # sincos2PHI0=(0.7896858198001045, 0.6135114554811807),

253 # sincos2PHI0C=(0.7893102212553742, 0.6139946047171686),

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

255

256_RD0 = _RD0() # PYCHOK singleton, in .test/testRndTrips

257

258

259class RDNAP7Tuple(_NamedTuple): # in .v_self

260 '''7-Tuple C{(RDx, RDy, NAPh, lat, lon, height, datum)} with I{local} C{RDx},

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

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

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

264

265 @note: I{By default} C{lat}, C{lon} and C{datum} are B{GRS80 (ETRS89)} when

266 returned from L{RDNAP2018v1.reverse} but B{Bessel1841 (RD-Bessel)}

267 from L{RDNAP2018v2.reverse}.

268 '''

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

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

271

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

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

274

275 @kwarg datum: Datum C{diff} (C{Datum}, None or NAN).

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

277

278 @return: An L{RDNAP7Tuple} with the C{fabs(diff)} for each item,

279 except C{datum} as B{C{datum}}.

280 '''

281 def _diff(a, b):

282 try:

283 return fabs(a - b)

284 except TypeError:

285 return datum

286

287 _xinstanceof(RDNAP7Tuple, other=other)

288 t = map2(_diff, self, other)

289 return RDNAP7Tuple(t, **name)

290

291 @Property_RO

292 def lam(self):

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

294 '''

295 return Lamd(self.lon) # PYCHOK lon

296

297 @Property_RO

298 def latlon(self):

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

300 '''

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

302

303 @Property_RO

304 def latlonheight(self):

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

306 '''

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

308

309 @Property_RO

310 def latlonheightdatum(self):

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

312 '''

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

314

315 @Property_RO

316 def phi(self):

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

318 '''

319 return Phid(self.lat) # PYCHOK lat

320

321 @Property_RO

322 def philam(self):

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

324 '''

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

326

327 @Property_RO

328 def philamheight(self):

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

330 '''

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

332

333 @Property_RO

334 def philamheightdatum(self):

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

336 '''

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

338

339 def toDatum(self, datum2, name=NN):

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

341

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

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

344

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

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

347

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

349 C{RDNAPTRANS(tm)2018_v220627}.

350

351 @see: Methods L{RDNAP7Tuple.toETRS} and L{RDNAP7Tuple.toRD}.

352 '''

353 _xinstanceof(Datum, datum2=datum2)

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

355 return self

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

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

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

359 name=name or self.name)

360

361 def toETRS(self, **name):

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

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

364

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

366

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

368 '''

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

370

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

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

373

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

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

376

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

378

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

380 '''

381 _xsubclassof(_LLEB, LatLon=LatLon)

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

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

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

385

386 def toRD(self, **name):

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

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

389

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

391

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

393 '''

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

395

396 def _toX(self, datum, _xform, name=NN):

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

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

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

400 return self.dup(lat=lat, lon=lon, datum=d, name=name or self.name)

401 return self

402

403 @Property_RO

404 def xy(self):

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

406 '''

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

408

409 @Property_RO

410 def xyz(self):

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

412 '''

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

414

415

416class LqRD(_LqRD):

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

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

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

420

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

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

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

424 (NAP)} quasi-geodetic-height.

425 '''

426 if _FOR_DOCS:

427 __init__ = _LqRD.__init__

428

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

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

431

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

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

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

435 is C{scalar}, ignored otherwise.

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

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

438 is C{scalar}, ignored otherwise.

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

440

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

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

443

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

445 '''

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

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

448

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

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

451

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

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

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

455 C{scalar}, ignored otherwise.

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

457 ignored otherwise.

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

459

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

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

462

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

464 '''

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

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

467

468 @staticmethod

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

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

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

472

473

474__all__ += _all_OTHER(LqRD, RDNAP7Tuple, # passed along from PyGeodesy

475 Bounds4Tuple, Datum, Datums, Ellipsoid, Ellipsoids,

476 LatLon2Tuple, LatLon3Tuple, LatLon4Tuple,

477 PhiLam2Tuple, PhiLam3Tuple, PhiLam4Tuple,

478 Similarity, Vector2Tuple, Vector3Tuple)

479del _all_OTHER, _LQRD0

480

481# **) MIT License

482#

484#

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

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

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

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

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

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

491#

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

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

494#

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

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

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

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

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

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

501# OTHER DEALINGS IN THE SOFTWARE.

Coverage for pyrdnap / rd0.py: 99%

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