Hide keyboard shortcuts

Hot-keys on this page

r m x p   toggle line displays

j k   next/prev highlighted chunk

0   (zero) top of page

1   (one) first highlighted chunk

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

154

155

156

157

158

159

160

161

162

163

164

165

166

167

168

169

170

171

172

173

174

175

176

177

178

179

180

181

182

183

184

185

186

187

188

189

190

191

192

193

194

195

196

197

198

199

200

201

202

203

204

205

206

207

208

209

210

211

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

237

238

239

240

241

242

243

244

245

246

247

248

249

250

251

252

253

254

255

256

257

258

259

260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

297

298

299

300

301

302

303

304

305

306

307

308

309

310

311

312

313

314

315

316

317

318

319

320

321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

350

351

352

353

354

355

356

357

358

359

360

361

362

363

364

365

366

367

368

369

370

371

372

373

374

375

376

377

378

379

380

381

382

383

384

385

386

387

388

389

390

391

392

393

394

395

396

397

398

399

400

401

402

403

404

405

406

407

408

409

410

411

412

413

414

415

416

417

418

419

420

421

422

423

424

425

426

427

428

429

430

431

432

433

434

435

436

437

438

439

440

441

442

443

444

445

446

447

448

449

450

451

452

453

454

455

456

457

458

459

460

461

462

463

464

465

466

467

468

469

470

471

472

473

474

475

476

477

478

479

480

481

482

483

484

485

486

487

488

489

490

491

492

493

494

495

496

497

498

499

500

501

502

503

504

505

506

507

508

509

510

511

512

513

514

515

516

517

518

519

520

521

522

523

524

525

526

527

528

529

530

531

532

533

534

535

536

537

538

539

540

541

542

543

544

545

546

547

548

549

550

551

552

553

554

555

556

557

558

559

560

561

562

 

# -*- coding: utf-8 -*- 

 

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

 

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

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

installed. 

''' 

 

from pygeodesy.basics import copysign0, neg, _xinstanceof, _xsubclassof 

from pygeodesy.datums import _ellipsoidal_datum, _WGS84 

from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB 

from pygeodesy.errors import _datum_datum, _ValueError, \ 

_xellipsoidal, _xkwds 

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

_easting_, _lat_, _lon_, _m_, _name_, \ 

_northing_, _reciprocal_, _SPACE_, \ 

_0_0, _0_5, _1_0, _90_0, _360_0 

from pygeodesy.interns import _C_ # PYCHOK used! 

from pygeodesy.lazily import _ALL_LAZY 

from pygeodesy.named import _NamedBase, _NamedTuple, nameof 

from pygeodesy.namedTuples import EasNor2Tuple, EasNor3Tuple, \ 

LatLon2Tuple, LatLon4Tuple, _LL4Tuple 

from pygeodesy.props import deprecated_Property_RO, Property_RO 

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

from pygeodesy.units import Bearing, Easting, Height, Lat_, Lon_, \ 

Northing, Scalar 

 

__all__ = _ALL_LAZY.css 

__version__ = '21.07.31' 

 

 

def _CS0(cs0): 

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

''' 

if cs0 is None: 

cs0 = Css._CS0 

if cs0 is None: 

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

else: 

_xinstanceof(CassiniSoldner, cs0=cs0) 

return cs0 

 

 

class CSSError(_ValueError): 

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

''' 

pass 

 

 

class CassiniSoldner(_NamedBase): 

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

<https://GeographicLib.SourceForge.io/html/classGeographicLib_1_1CassiniSoldner.html>}. 

''' 

_cb0 = _0_0 

_datum = _WGS84 # L{Datum} 

_latlon0 = () 

_meridian = None 

_sb0 = _0_0 

 

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

'''New L{CassiniSoldner} projection. 

 

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

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

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

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

@kwarg name: Optional name (C{str}). 

 

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

 

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

project/geographiclib>} not installed or 

not found. 

 

@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 datum not in (None, self._datum): 

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

if name: 

self.name = name 

 

self.reset(lat0, lon0) 

 

@Property_RO 

def datum(self): 

'''Get the datum (L{Datum}). 

''' 

return self._datum 

 

def _datumatch(self, latlon): 

'''Check for matching datum ellipsoids. 

 

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

''' 

_datum_datum(self.datum, latlon.datum, Error=CSSError) 

 

@Property_RO 

def equatoradius(self): 

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

''' 

return self.geodesic.a 

 

@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 to Cassini-Soldner 

easting and northing. 

 

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

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

 

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

 

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

and L{CassiniSoldner.reverse4}. 

 

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

''' 

t = self.forward4(lat, lon) 

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

 

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

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

easting and northing. 

 

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

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

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

 

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

azimuth, reciprocal)}. 

 

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

and L{CassiniSoldner.reverse4}. 

 

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

''' 

g, M = self.datum.ellipsoid._geodesic_Math2 

 

lat = Lat_(lat, Error=CSSError) 

d = M.AngDiff(self.lon0, Lon_(lon, Error=CSSError))[0] # _2sum 

r = g.Inverse(lat, -abs(d), lat, abs(d)) 

z1, a = r.azi1, (r.a12 * _0_5) 

z2, e = r.azi2, (r.s12 * _0_5) 

if e == 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, e, z2 = neg(a), neg(e), z1 

 

# z: azimuth of easting direction 

z = M.AngNormalize(z2) 

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

# rk: reciprocal of azimuthal northing scale 

rk = p.ArcPosition(neg(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 = copysign0(c, lat) # -c if lat < 0 else c 

cb1 = copysign0(s, 90 - abs(d)) # -abs(s) if abs(d) > 90 else abs(s) 

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] 

return EasNorAziRk4Tuple(e, n, z, rk, name=name or self.name) 

 

@Property_RO 

def geodesic(self): 

'''Get this projection's I{wrapped} U{Karney 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 

def latlon0(self): 

'''Get the center lat- and longitude (L{LatLon2Tuple}C{(lat, lon)}) in (C{degrees90}, (C{degrees180}). 

''' 

return self._latlon0 

 

@latlon0.setter # PYCHOK setter! 

def latlon0(self, latlon0): 

'''Set the center lat- and longitude (L{LatLon2Tuple}, ellipsoidal C{LatLon} or L{LatLon4Tuple}). 

 

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

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

''' 

_xinstanceof(_LLEB, LatLon4Tuple, LatLon2Tuple, latlon0=latlon0) 

if hasattr(latlon0, _datum_): 

self._datumatch(latlon0) 

self.reset(latlon0.lat, latlon0.lon) 

 

@Property_RO 

def lon0(self): 

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

''' 

return self._latlon0.lon 

 

@deprecated_Property_RO 

def majoradius(self): # PYCHOK no cover 

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

return self.equatoradius 

 

def reset(self, lat0, lon0): 

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

 

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

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

 

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

''' 

self._update(True) # force reset 

 

g, M = self.datum.ellipsoid._geodesic_Math2 

 

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

Lon_(lon0=lon0, Error=CSSError), _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, **LatLon_kwds): 

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

lat- and longitude. 

 

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

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

@kwarg LatLon: Optional, ellipsoidal class to return the 

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

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

ignored if C{B{LatLon} is None}. 

 

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

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

 

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

 

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

 

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

and L{CassiniSoldner.forward4}. 

''' 

r = self.reverse4(easting, northing) 

if LatLon is None: 

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

else: 

_xsubclassof(_LLEB, LatLon=LatLon) 

kwds = _xkwds(LatLon_kwds, datum=self.datum) 

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

self._datumatch(r) 

return r 

 

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

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

lat- and longitude. 

 

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

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

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

 

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

 

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

and L{CassiniSoldner.forward4}. 

''' 

g = self.geodesic 

 

n = self._meridian.Position(northing) 

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

z = (r.azi2 + _360_0) % _360_0 

# include azimuth of easting direction and reciprocal of 

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

# <https://GeographicLib.SourceForge.io/html/classGeographicLib_1_1Geodesic.html>) 

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

 

toLatLon = reverse # XXX not reverse4 

 

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

'''Return a string representation of this projection. 

 

@kwarg prec: Optional number of decimals, unstripped (C{int}). 

 

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

(C{str}). 

''' 

return _fstrLL0(self, prec, True) 

 

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

'''Return a string representation of this projection. 

 

@kwarg prec: Optional number of decimal, unstripped (C{int}). 

@kwarg sep: Optional separator to join (C{str}). 

 

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

''' 

t = _fstrLL0(self, prec, False) 

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

 

 

class Css(_NamedBase): 

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

''' 

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

_cs0 = None # projection (L{CassiniSoldner}) 

_easting = _0_0 # easting (C{float}) 

_height = 0 # height (C{meter}) 

_northing = _0_0 # northing (C{float}) 

 

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

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

 

@arg e: Easting (C{meter}). 

@arg n: Northing (C{meter}). 

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

@kwarg cs0: Optional, the Cassini-Soldner projection 

(L{CassiniSoldner}). 

@kwarg 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>} not installed or 

not found. 

 

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

 

@raise ValueError: Invalid B{C{h}}. 

 

@example: 

 

>>> cs = Css(448251, 5411932.0001) 

''' 

self._cs0 = _CS0(cs0) 

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

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

if h: 

self._height = Height(h=h) 

if name: 

self.name = name 

 

@Property_RO 

def azi(self): 

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

''' 

return self.reverse4.azimuth 

 

azimuth = azi 

 

@Property_RO 

def cs0(self): 

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

''' 

return self._cs0 or Css._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}). 

''' 

r = self.reverse4 

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

 

@Property_RO 

def northing(self): 

'''Get the northing (C{meter}). 

''' 

return self._northing 

 

@Property_RO 

def reverse4(self): 

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

''' 

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

 

@Property_RO 

def rk(self): 

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

''' 

return self.reverse4.reciprocal 

 

reciprocal = rk 

 

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

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

 

@kwarg LatLon: Optional, ellipsoidal class to return the 

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

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

default height (C{meter}). 

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

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

 

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

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

datum)}. 

 

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

ellipsoidal or invalid B{C{height}} or 

B{C{LatLon_kwds}}. 

''' 

if LatLon: 

_xsubclassof(_LLEB, LatLon=LatLon) 

 

lat, lon = self.latlon 

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

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

inst=self, name=self.name) 

 

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

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

 

@kwarg prec: Optional number of decimals, unstripped (C{int}). 

@kwarg fmt: Optional, enclosing backets format (C{str}). 

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

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

@kwarg 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, T = _fstrENH2(self, prec, m) 

if self.name: 

t += repr(self.name), 

T += _name_, 

if C: 

t += self.cs0.toRepr(prec=prec), 

T += _C_, 

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

 

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

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

 

@kwarg prec: Optional number of decimal, unstripped (C{int}). 

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

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

@kwarg 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 height 

is non-zero (C{str}). 

''' 

t, _ = _fstrENH2(self, prec, m) 

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

 

 

class EasNorAziRk4Tuple(_NamedTuple): 

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

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

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

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

''' 

_Names_ = (_easting_, _northing_, _azimuth_, _reciprocal_) 

_Units_ = ( Easting, Northing, Bearing, Scalar) 

 

 

class LatLonAziRk4Tuple(_NamedTuple): 

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

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

C{reciprocal} the reciprocal of azimuthal northing scale. 

''' 

_Names_ = (_lat_, _lon_, _azimuth_, _reciprocal_) 

_Units_ = ( Lat_, Lon_, Bearing, Scalar) 

 

 

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

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

location. 

 

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

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

(L{CassiniSoldner}). 

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

default height (C{meter}). 

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

@kwarg 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: Ellipsoidal mismatch of B{C{latlon}} and B{C{cs0}}. 

 

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

project/geographiclib>} not installed or 

not found. 

 

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

''' 

_xinstanceof(_LLEB, LatLon4Tuple, latlon=latlon) 

 

cs = _CS0(cs0) 

cs._datumatch(latlon) 

 

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

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

n = name or nameof(latlon) 

 

if Css is None: 

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

else: 

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

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

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

return r 

 

# **) MIT License 

# 

# Copyright (C) 2016-2022 -- 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.