1

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

3

4 u'''Hausdorff distances.

5

6 Classes L{Hausdorff}, L{HausdorffDegrees}, L{HausdorffRadians},

7 L{HausdorffCosineAndoyerLambert}, L{HausdorffCosineForsytheAndoyerLambert},

8 L{HausdorffCosineLaw}, L{HausdorffDistanceTo}, L{HausdorffEquirectangular},

9 L{HausdorffEuclidean}, L{HausdorffFlatLocal}, L{HausdorffFlatPolar},

10 L{HausdorffHaversine}, L{HausdorffHubeny}, L{HausdorffKarney},

11 L{HausdorffThomas} and L{HausdorffVincentys} to compute U{Hausdorff

12<https://WikiPedia.org/wiki/Hausdorff_distance>} distances between two

13 sets of C{LatLon}, C{NumPy}, C{tuples} or other types of points.

14

15 Only L{HausdorffDistanceTo} -iff used with L{ellipsoidalKarney.LatLon}

16 points- and L{HausdorffKarney} requires installation of I{Charles Karney}'s

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

18

19 Typical usage is as follows. First, create a C{Hausdorff} calculator

20 from a given set of C{LatLon} points, called the C{model} or C{template}

21 points.

22

23 C{h = HausdorffXyz(point1s, ...)}

24

25 Get the C{directed} or C{symmetric} Hausdorff distance to a second set

26 of C{LatLon} points, named the C{target} points, by using

27

28 C{t6 = h.directed(point2s)}

29

30 respectively

31

32 C{t6 = h.symmetric(point2s)}.

33

34 Or, use function C{hausdorff_} with a proper C{distance} function and

35 optionally a C{point} function passed as keyword arguments as follows

36

37 C{t6 = hausdorff_(point1s, point2s, ..., distance=..., point=...)}.

38

39 In all cases, the returned result C{t6} is a L{Hausdorff6Tuple}.

40

41 For C{(lat, lon, ...)} points in a C{NumPy} array or plain C{tuples},

42 wrap the points in a L{Numpy2LatLon} respectively L{Tuple2LatLon}

43 instance, more details in the documentation thereof.

44

45 For other points, create a L{Hausdorff} sub-class with the appropriate

46 C{distance} method overloading L{Hausdorff.distance} and optionally a

47 C{point} method overriding L{Hausdorff.point} as the next example.

48

49 >>> from pygeodesy import Hausdorff, hypot_

50 >>>

51 >>> class H3D(Hausdorff):

52 >>> """Custom Hausdorff example.

53 >>> """

54 >>> def distance(self, p1, p2):

55 >>> return hypot_(p1.x - p2.x, p1.y - p2.y, p1.z - p2.z)

56 >>>

57 >>> h3D = H3D(xyz1, ..., units="...")

58 >>> d6 = h3D.directed(xyz2)

59

60 Transcribed from the original SciPy U{Directed Hausdorff Code

61<https://GitHub.com/scipy/scipy/blob/master/scipy/spatial/_hausdorff.pyx>}

62 version 0.19.0, Copyright (C) Tyler Reddy, Richard Gowers, and Max Linke,

63 2016, distributed under the same BSD license as SciPy, including C{early

64 breaking} and C{random sampling} as in U{Abdel Aziz Taha, Allan Hanbury

65"An Efficient Algorithm for Calculating the Exact Hausdorff Distance"

66<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}, IEEE Trans. Pattern

67 Analysis Machine Intelligence (PAMI), vol 37, no 11, pp 2153-2163, Nov 2015.

68'''

69

70 from pygeodesy.constants import INF, NINF, _0_0

71 from pygeodesy.datums import _ellipsoidal_datum, _WGS84

72 from pygeodesy.errors import PointsError, _xattr, _xcallable, _xkwds, _xkwds_get

73 import pygeodesy.formy as _formy

74 from pygeodesy.interns import NN, _i_, _j_, _units_

75# from pygeodesy.iters import points2 # from .points

76 from pygeodesy.lazily import _ALL_LAZY, _FOR_DOCS

77 from pygeodesy.named import _Named, _NamedTuple, notOverloaded, _Pass

78# from pygeodesy.namedTuples import PhiLam2Tuple # from .points

79 from pygeodesy.points import _distanceTo, points2 as _points2, PhiLam2Tuple, radians

80 from pygeodesy.props import Property_RO, property_doc_, property_RO

81 from pygeodesy.units import Float, Number_, _xUnit, _xUnits

82 from pygeodesy.unitsBase import _Str_degrees, _Str_degrees2, _Str_meter, _Str_NN, \

83 _Str_radians, _Str_radians2

84

85# from math import radians # from .points

86 from random import Random

87

88__all__ = _ALL_LAZY.hausdorff

89__version__ = '24.03.24'

90

91

92 class HausdorffError(PointsError):

93 '''Hausdorff issue.

94 '''

95 pass

96

97

98 class Hausdorff(_Named):

99 '''Hausdorff base class, requires method L{Hausdorff.distance} to

100 be overloaded.

101 '''

102 _datum = _WGS84

103 _func = None # formy function

104 _kwds = {} # func_ options

105 _model = ()

106 _seed = None

107 _units = _Str_NN # XXX Str to _Pass and for backward compatibility

108

109 def __init__(self, point1s, seed=None, name=NN, units=NN, **kwds):

110 '''New C{Hausdorff...} calculator.

111

112 @arg point1s: Initial set of points, aka the C{model} or

113 C{template} (C{LatLon}[], C{Numpy2LatLon}[],

114 C{Tuple2LatLon}[] or C{other}[]).

115 @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0}

116 or C{False} for no U{random sampling<https://

117 Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}.

118 @kwarg name: Optional name for this interpolator (C{str}).

119 @kwarg units: Optional, the distance units (C{Unit} or C{str}).

120 @kwarg kwds: Optional keyword argument for distance function,

121 retrievable with property C{kwds}.

122

123 @raise HausdorffError: Insufficient number of B{C{point1s}}

124 or an invalid B{C{point1}}, B{C{seed}}

125 or B{C{units}}.

126 '''

127 _, self._model = self._points2(point1s)

128 if seed:

129 self.seed = seed

130 if name:

131 self.name = name

132 if units: # and not self.units:

133 self.units = units

134 if kwds:

135 self._kwds = kwds

136

137 @Property_RO

138 def adjust(self):

139 '''Get the adjust setting (C{bool} or C{None} if not applicable).

140 '''

141 return _xkwds_get(self._kwds, adjust=None)

142

143 @Property_RO

144 def datum(self):

145 '''Get the datum of this calculator (L{Datum} or C{None} if not applicable).

146 '''

147 return self._datum

148

149 def _datum_setter(self, datum):

150 '''(INTERNAL) Set the datum.

151 '''

152 d = datum or _xattr(self._model[0], datum=datum)

153 if d not in (None, self._datum): # PYCHOK no cover

154 self._datum = _ellipsoidal_datum(d, name=self.name)

155

156 def directed(self, point2s, early=True):

157 '''Compute only the C{forward Hausdorff} distance.

158

159 @arg point2s: Second set of points, aka the C{target} (C{LatLon}[],

160 C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]).

161 @kwarg early: Enable or disable U{early breaking<https://

162 Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} (C{bool}).

163

164 @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}.

165

166 @raise HausdorffError: Insufficient number of B{C{point2s}} or

167 an invalid B{C{point2}}.

168

169 @note: See B{C{point2s}} note at L{HausdorffDistanceTo}.

170 '''

171 return self._hausdorff_(point2s, False, early, self.distance)

172

173 def distance(self, point1, point2):

174 '''Return the distance between B{C{point1}} and B{C{point2s}},

175 subject to the supplied optional keyword arguments, see

176 property C{kwds}.

177 '''

178 return self._func(point1.lat, point1.lon,

179 point2.lat, point2.lon, **self._kwds)

180

181 def _hausdorff_(self, point2s, both, early, distance):

182 _, ps2 = self._points2(point2s)

183 return _hausdorff_(self._model, ps2, both, early, self.seed,

184 self.units, distance, self.point)

185

186 @property_RO

187 def kwds(self):

188 '''Get the supplied, optional keyword arguments (C{dict}).

189 '''

190 return self._kwds

191

192 def point(self, point):

193 '''Convert a C{model} or C{target} point for the C{.distance} method.

194 '''

195 return point # pass thru

196

197 def _points2(self, points):

198 '''(INTERNAL) Check a set of points.

199 '''

200 return _points2(points, closed=False, Error=HausdorffError)

201

202 @property_doc_(''' the random sampling seed (C{Random}).''')

203 def seed(self):

204 '''Get the random sampling seed (C{any} or C{None}).

205 '''

206 return self._seed

207

208 @seed.setter # PYCHOK setter!

209 def seed(self, seed):

210 '''Set the random sampling seed (C{Random(seed)}) or

211 C{None}, C{0} or C{False} for no U{random sampling

212 <https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}.

213

214 @raise HausdorffError: Invalid B{C{seed}}.

215 '''

216 if seed:

217 try:

218 Random(seed)

219 except (TypeError, ValueError) as x:

220 raise HausdorffError(seed=seed, cause=x)

221 self._seed = seed

222 else:

223 self._seed = None

224

225 def symmetric(self, point2s, early=True):

226 '''Compute the combined C{forward and reverse Hausdorff} distance.

227

228 @arg point2s: Second set of points, aka the C{target} (C{LatLon}[],

229 C{Numpy2LatLon}[], C{Tuple2LatLon}[] or C{other}[]).

230 @kwarg early: Enable or disable U{early breaking<https://

231 Publik.TUWien.ac.AT/files/PubDat_247739.pdf>} (C{bool}).

232

233 @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}.

234

235 @raise HausdorffError: Insufficient number of B{C{point2s}} or

236 an invalid B{C{point2}}.

237

238 @note: See B{C{point2s}} note at L{HausdorffDistanceTo}.

239 '''

240 return self._hausdorff_(point2s, True, early, self.distance)

241

242 @property_doc_(''' the distance units (C{Unit} or C{str}).''')

243 def units(self):

244 '''Get the distance units (C{Unit} or C{str}).

245 '''

246 return self._units

247

248 @units.setter # PYCHOK setter!

249 def units(self, units):

250 '''Set the distance units (C{Unit} or C{str}).

251

252 @raise TypeError: Invalid B{C{units}}.

253 '''

254 self._units = _xUnits(units, Base=Float)

255

256 @Property_RO

257 def wrap(self):

258 '''Get the wrap setting (C{bool} or C{None} if not applicable).

259 '''

260 return _xkwds_get(self._kwds, adjust=None)

261

262

263 class HausdorffDegrees(Hausdorff):

264 '''L{Hausdorff} base class for distances from C{LatLon}

265 points in C{degrees}.

266 '''

267 _units = _Str_degrees

268

269 if _FOR_DOCS:

270 __init__ = Hausdorff.__init__

271 directed = Hausdorff.directed

272 symmetric = Hausdorff.symmetric

273

274 def distance(self, point1, point2): # PYCHOK no cover

275 '''I{Must be overloaded}.'''

276 notOverloaded(self, point1, point2)

277

278

279 class HausdorffRadians(Hausdorff):

280 '''L{Hausdorff} base class for distances from C{LatLon}

281 points converted from C{degrees} to C{radians}.

282 '''

283 _units = _Str_radians

284

285 if _FOR_DOCS:

286 __init__ = Hausdorff.__init__

287 directed = Hausdorff.directed

288 symmetric = Hausdorff.symmetric

289

290 def distance(self, point1, point2): # PYCHOK no cover

291 '''Return the distance in C{radians} between B{C{point1}} and B{C{point2}}.

292 I{Must be overloaded}.'''

293 notOverloaded(self, point1, point2)

294

295 def point(self, point):

296 '''Return B{C{point}} as L{PhiLam2Tuple} to maintain

297 I{backward compatibility} of L{HausdorffRadians}.

298

299 @return: A L{PhiLam2Tuple}C{(phi, lam)}.

300 '''

301 try:

302 return point.philam

303 except AttributeError:

304 return PhiLam2Tuple(radians(point.lat), radians(point.lon))

305

306

307 class _HausdorffMeterRadians(Hausdorff):

308 '''(INTERNAL) Returning C{meter} or C{radians} depending on

309 the optional keyword arguments supplied at instantiation

310 of the C{Hausdorff*} sub-class.

311 '''

312 _units = _Str_meter

313 _units_ = _Str_radians

314

315 def directed(self, point2s, early=True):

316 '''Overloaded method L{Hausdorff.directed} to determine

317 the distance function and units from the optional

318 keyword arguments given at this instantiation, see

319 property C{kwds}.

320

321 @see: L{Hausdorff.directed} for other details.

322 '''

323 return self._hausdorff_(point2s, False, early, _formy._radistance(self))

324

325 def symmetric(self, point2s, early=True):

326 '''Overloaded method L{Hausdorff.symmetric} to determine

327 the distance function and units from the optional

328 keyword arguments given at this instantiation, see

329 property C{kwds}.

330

331 @see: L{Hausdorff.symmetric} for other details.

332 '''

333 return self._hausdorff_(point2s, True, early, _formy._radistance(self))

334

335 def _func_(self, *args, **kwds): # PYCHOK no cover

336 '''(INTERNAL) I{Must be overloaded}.'''

337 notOverloaded(self, *args, **kwds)

338

339

340 class HausdorffCosineAndoyerLambert(_HausdorffMeterRadians):

341 '''Compute the C{Hausdorff} distance based on the I{angular} distance

342 in C{radians} from function L{pygeodesy.cosineAndoyerLambert}.

343 '''

344 def __init__(self, point1s, seed=None, name=NN, **datum_wrap):

345 '''New L{HausdorffCosineAndoyerLambert} calculator.

346

347 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

348 B{C{seed}}, B{C{name}} and other exceptions.

349

350 @kwarg datum_wrap: Optional keyword arguments for function

351 L{pygeodesy.cosineAndoyerLambert}.

352 '''

353 Hausdorff.__init__(self, point1s, seed=seed, name=name,

354 **datum_wrap)

355 self._func = _formy.cosineAndoyerLambert

356 self._func_ = _formy.cosineAndoyerLambert_

357

358 if _FOR_DOCS:

359 directed = Hausdorff.directed

360 symmetric = Hausdorff.symmetric

361

362

363 class HausdorffCosineForsytheAndoyerLambert(_HausdorffMeterRadians):

364 '''Compute the C{Hausdorff} distance based on the I{angular} distance

365 in C{radians} from function L{pygeodesy.cosineForsytheAndoyerLambert}.

366 '''

367 def __init__(self, point1s, seed=None, name=NN, **datum_wrap):

368 '''New L{HausdorffCosineForsytheAndoyerLambert} calculator.

369

370 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

371 B{C{seed}}, B{C{name}} and other exceptions.

372

373 @kwarg datum_wrap: Optional keyword arguments for function

374 L{pygeodesy.cosineAndoyerLambert}.

375 '''

376 Hausdorff.__init__(self, point1s, seed=seed, name=name,

377 **datum_wrap)

378 self._func = _formy.cosineForsytheAndoyerLambert

379 self._func_ = _formy.cosineForsytheAndoyerLambert_

380

381 if _FOR_DOCS:

382 directed = Hausdorff.directed

383 symmetric = Hausdorff.symmetric

384

385

386 class HausdorffCosineLaw(_HausdorffMeterRadians):

387 '''Compute the C{Hausdorff} distance based on the I{angular}

388 distance in C{radians} from function L{pygeodesy.cosineLaw_}.

389

390 @note: See note at function L{pygeodesy.vincentys_}.

391 '''

392 def __init__(self, point1s, seed=None, name=NN, **radius_wrap):

393 '''New L{HausdorffCosineLaw} calculator.

394

395 @kwarg radius_wrap: Optional keyword arguments for function

396 L{pygeodesy.cosineLaw}.

397

398 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

399 B{C{seed}}, B{C{name}} and other exceptions.

400 '''

401 Hausdorff.__init__(self, point1s, seed=seed, name=name,

402 **radius_wrap)

403 self._func = _formy.cosineLaw

404 self._func_ = _formy.cosineLaw_

405

406 if _FOR_DOCS:

407 directed = Hausdorff.directed

408 symmetric = Hausdorff.symmetric

409

410

411 class HausdorffDistanceTo(Hausdorff):

412 '''Compute the C{Hausdorff} distance based on the distance from the

413 points' C{LatLon.distanceTo} method, conventionally in C{meter}.

414 '''

415 _units = _Str_meter

416

417 def __init__(self, point1s, seed=None, name=NN, **distanceTo_kwds):

418 '''New L{HausdorffDistanceTo} calculator.

419

420 @kwarg distanceTo_kwds: Optional keyword arguments for each

421 B{C{point1s}}' C{LatLon.distanceTo}

422 method.

423

424 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

425 B{C{seed}}, B{C{name}} and other exceptions.

426

427 @note: All C{model}, C{template} and C{target} B{C{points}}

428 I{must} be instances of the same ellipsoidal or

429 spherical C{LatLon} class.

430 '''

431 Hausdorff.__init__(self, point1s, seed=seed, name=name,

432 **distanceTo_kwds)

433

434 if _FOR_DOCS:

435 directed = Hausdorff.directed

436 symmetric = Hausdorff.symmetric

437

438 def distance(self, p1, p2):

439 '''Return the distance in C{meter}.

440 '''

441 return p1.distanceTo(p2, **self._kwds)

442

443 def _points2(self, points):

444 '''(INTERNAL) Check a set of points.

445 '''

446 np, ps = Hausdorff._points2(self, points)

447 return np, _distanceTo(HausdorffError, points=ps)

448

449

450 class HausdorffEquirectangular(Hausdorff):

451 '''Compute the C{Hausdorff} distance based on the C{equirectangular} distance

452 in C{radians squared} like function L{pygeodesy.equirectangular_}.

453 '''

454 _units = _Str_degrees2

455

456 def __init__(self, point1s, seed=None, name=NN, **adjust_limit_wrap):

457 '''New L{HausdorffEquirectangular} calculator.

458

459 @kwarg adjust_limit_wrap: Optional keyword arguments for function

460 L{pygeodesy.equirectangular_} I{with default}

461 C{B{limit}=0} for I{backward compatibility}.

462

463 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

464 B{C{seed}}, B{C{name}} and other exceptions.

465 '''

466 adjust_limit_wrap = _xkwds(adjust_limit_wrap, limit=0)

467 Hausdorff.__init__(self, point1s, seed=seed, name=name,

468 **adjust_limit_wrap)

469 self._func = _formy._equirectangular # helper

470

471 if _FOR_DOCS:

472 directed = Hausdorff.directed

473 symmetric = Hausdorff.symmetric

474

475

476 class HausdorffEuclidean(_HausdorffMeterRadians):

477 '''Compute the C{Hausdorff} distance based on the C{Euclidean}

478 distance in C{radians} from function L{pygeodesy.euclidean_}.

479 '''

480 def __init__(self, point1s, seed=None, name=NN, **adjust_wrap):

481 '''New L{HausdorffEuclidean} calculator.

482

483 @kwarg adjust_radius_wrap: Optional keyword arguments for

484 function L{pygeodesy.euclidean}.

485

486 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

487 B{C{seed}}, B{C{name}} and other exceptions.

488 '''

489 Hausdorff.__init__(self, point1s, seed=seed, name=name,

490 **adjust_wrap)

491 self._func = _formy.euclidean

492 self._func_ = _formy.euclidean_

493

494 if _FOR_DOCS:

495 directed = Hausdorff.directed

496 symmetric = Hausdorff.symmetric

497

498

499 class HausdorffExact(Hausdorff):

500 '''Compute the C{Hausdorff} distance based on the I{angular}

501 distance in C{degrees} from method L{GeodesicExact}C{.Inverse}.

502 '''

503 _units = _Str_degrees

504

505 def __init__(self, point1s, seed=None, name=NN, datum=None, **wrap):

506 '''New L{HausdorffKarney} calculator.

507

508 @kwarg datum: Datum to override the default C{Datums.WGS84} and

509 first B{C{point1s}}' datum (L{Datum}, L{Ellipsoid},

510 L{Ellipsoid2} or L{a_f2Tuple}).

511 @kwarg wrap: Optional keyword argument for method C{Inverse1}

512 of class L{geodesicx.GeodesicExact}.

513

514 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

515 B{C{seed}}, B{C{name}} and other exceptions.

516

517 @raise TypeError: Invalid B{C{datum}}.

518 '''

519 Hausdorff.__init__(self, point1s, seed=seed, name=name,

520 **wrap)

521 self._datum_setter(datum)

522 self._func = self.datum.ellipsoid.geodesicx.Inverse1 # note -x

523

524 if _FOR_DOCS:

525 directed = Hausdorff.directed

526 symmetric = Hausdorff.symmetric

527

528

529 class HausdorffFlatLocal(_HausdorffMeterRadians):

530 '''Compute the C{Hausdorff} distance based on the I{angular} distance in

531 C{radians squared} like function L{pygeodesy.flatLocal_}/L{pygeodesy.hubeny_}.

532 '''

533 _units = _Str_radians2

534

535 def __init__(self, point1s, seed=None, name=NN, **datum_scaled_wrap):

536 '''New L{HausdorffFlatLocal}/L{HausdorffHubeny} calculator.

537

538 @kwarg datum_scaled_wrap: Optional keyword arguments for

539 function L{pygeodesy.flatLocal}.

540

541 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

542 B{C{seed}}, B{C{name}} and other exceptions.

543

544 @note: The distance C{units} are C{radians squared}, not C{radians}.

545 '''

546 Hausdorff.__init__(self, point1s, seed=seed, name=name,

547 **datum_scaled_wrap)

548 self._func = _formy.flatLocal

549 self._func_ = self.datum.ellipsoid._hubeny_2

550

551 if _FOR_DOCS:

552 directed = Hausdorff.directed

553 symmetric = Hausdorff.symmetric

554

555

556 class HausdorffFlatPolar(_HausdorffMeterRadians):

557 '''Compute the C{Hausdorff} distance based on the I{angular}

558 distance in C{radians} from function L{pygeodesy.flatPolar_}.

559 '''

560 _wrap = False

561

562 def __init__(self, points, seed=None, name=NN, **radius_wrap):

563 '''New L{HausdorffFlatPolar} calculator.

564

565 @kwarg radius_wrap: Optional keyword arguments for function

566 L{pygeodesy.flatPolar}.

567

568 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

569 B{C{seed}}, B{C{name}} and other exceptions.

570 '''

571 Hausdorff.__init__(self, points, seed=seed, name=name,

572 **radius_wrap)

573 self._func = _formy.flatPolar

574 self._func_ = _formy.flatPolar_

575

576 if _FOR_DOCS:

577 directed = Hausdorff.directed

578 symmetric = Hausdorff.symmetric

579

580

581 class HausdorffHaversine(_HausdorffMeterRadians):

582 '''Compute the C{Hausdorff} distance based on the I{angular}

583 distance in C{radians} from function L{pygeodesy.haversine_}.

584

585 @note: See note under L{HausdorffVincentys}.

586 '''

587 _wrap = False

588

589 def __init__(self, points, seed=None, name=NN, **radius_wrap):

590 '''New L{HausdorffHaversine} calculator.

591

592 @kwarg radius_wrap: Optional keyword arguments for function

593 L{pygeodesy.haversine}.

594

595 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

596 B{C{seed}}, B{C{name}} and other exceptions.

597 '''

598 Hausdorff.__init__(self, points, seed=seed, name=name,

599 **radius_wrap)

600 self._func = _formy.haversine

601 self._func_ = _formy.haversine_

602

603 if _FOR_DOCS:

604 directed = Hausdorff.directed

605 symmetric = Hausdorff.symmetric

606

607

608 class HausdorffHubeny(HausdorffFlatLocal): # for Karl Hubeny

609 if _FOR_DOCS:

610 __doc__ = HausdorffFlatLocal.__doc__

611 __init__ = HausdorffFlatLocal.__init__

612 directed = HausdorffFlatLocal.directed

613 distance = HausdorffFlatLocal.distance

614 symmetric = HausdorffFlatLocal.symmetric

615

616

617 class HausdorffKarney(Hausdorff):

618 '''Compute the C{Hausdorff} distance based on the I{angular}

619 distance in C{degrees} from I{Karney}'s U{geographiclib

620 <https://PyPI.org/project/geographiclib>} U{Geodesic

621 <https://GeographicLib.SourceForge.io/Python/doc/code.html>}

622 Inverse method.

623 '''

624 _units = _Str_degrees

625

626 def __init__(self, point1s, datum=None, seed=None, name=NN, **wrap):

627 '''New L{HausdorffKarney} calculator.

628

629 @kwarg datum: Datum to override the default C{Datums.WGS84} and

630 first B{C{knots}}' datum (L{Datum}, L{Ellipsoid},

631 L{Ellipsoid2} or L{a_f2Tuple}).

632 @kwarg wrap: Optional keyword argument for method C{Inverse1}

633 of class L{geodesicw.Geodesic}.

634

635 @raise ImportError: Package U{geographiclib

636 <https://PyPI.org/project/geographiclib>} missing.

637

638 @raise TypeError: Invalid B{C{datum}}.

639

640 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

641 B{C{seed}}, B{C{name}} and other exceptions.

642 '''

643 Hausdorff.__init__(self, point1s, seed=seed, name=name,

644 **wrap)

645 self._datum_setter(datum)

646 self._func = self.datum.ellipsoid.geodesic.Inverse1

647

648

649 class HausdorffThomas(_HausdorffMeterRadians):

650 '''Compute the C{Hausdorff} distance based on the I{angular}

651 distance in C{radians} from function L{pygeodesy.thomas_}.

652 '''

653 def __init__(self, point1s, seed=None, name=NN, **datum_wrap):

654 '''New L{HausdorffThomas} calculator.

655

656 @kwarg datum_wrap: Optional keyword argument for function

657 L{pygeodesy.thomas}.

658

659 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

660 B{C{seed}}, B{C{name}} and other exceptions.

661 '''

662 Hausdorff.__init__(self, point1s, seed=seed, name=name,

663 **datum_wrap)

664 self._func = _formy.thomas

665 self._func_ = _formy.thomas_

666

667 if _FOR_DOCS:

668 directed = Hausdorff.directed

669 symmetric = Hausdorff.symmetric

670

671

672 class HausdorffVincentys(_HausdorffMeterRadians):

673 '''Compute the C{Hausdorff} distance based on the I{angular}

674 distance in C{radians} from function L{pygeodesy.vincentys_}.

675

676 @note: See note at function L{pygeodesy.vincentys_}.

677 '''

678 _wrap = False

679

680 def __init__(self, point1s, seed=None, name=NN, **radius_wrap):

681 '''New L{HausdorffVincentys} calculator.

682

683 @kwarg radius_wrap: Optional keyword arguments for function

684 L{pygeodesy.vincentys}.

685

686 @see: L{Hausdorff.__init__} for details about B{C{point1s}},

687 B{C{seed}}, B{C{name}} and other exceptions.

688 '''

689 Hausdorff.__init__(self, point1s, seed=seed, name=name,

690 **radius_wrap)

691 self._func = _formy.vincentys

692 self._func_ = _formy.vincentys_

693

694 if _FOR_DOCS:

695 directed = Hausdorff.directed

696 symmetric = Hausdorff.symmetric

697

698

699 def _hausdorff_(ps1, ps2, both, early, seed, units, distance, point):

700 '''(INTERNAL) Core of function L{hausdorff_} and methods C{directed}

701 and C{symmetric} of classes C{hausdorff.Hausdorff...}.

702 '''

703 # shuffling the points generally increases the

704 # chance of an early break in the inner j loop

705 rr = randomrangenerator(seed) if seed else range

706

707 hd = NINF

708 hi = hj = m = mn = 0

709 md = _0_0

710

711 # forward or forward and backward

712 for fb in range(2 if both else 1):

713 n = len(ps2)

714 for i in rr(len(ps1)):

715 p1 = point(ps1[i])

716 dh, dj = INF, 0

717 for j in rr(n):

718 p2 = point(ps2[j])

719 d = distance(p1, p2)

720 if early and d < hd:

721 break # early

722 elif d < dh:

723 dh, dj = d, j

724 else: # no early break

725 if hd < dh:

726 hd = dh

727 if fb:

728 hi, hj = dj, i

729 else:

730 hi, hj = i, dj

731 md += dh

732 mn += 1

733 m += 1

734 # swap model and target

735 ps1, ps2 = ps2, ps1

736

737 md = None if mn < m else (md / float(m))

738 return Hausdorff6Tuple(hd, hi, hj, m, md, units)

739

740

741 def _point(p):

742 '''Default B{C{point}} callable for function L{hausdorff_}.

743

744 @arg p: The original C{model} or C{target} point (C{any}).

745

746 @return: The point, suitable for the L{hausdorff_}

747 B{C{distance}} callable.

748 '''

749 return p

750

751

752 def hausdorff_(model, target, both=False, early=True, seed=None, units=NN,

753 distance=None, point=_point):

754 '''Compute the C{directed} or C{symmetric} U{Hausdorff

755 <https://WikiPedia.org/wiki/Hausdorff_distance>} distance between 2 sets of points

756 with or without U{early breaking<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}

757 and U{random sampling<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}.

758

759 @arg model: First set of points (C{LatLon}[], C{Numpy2LatLon}[],

760 C{Tuple2LatLon}[] or C{other}[]).

761 @arg target: Second set of points (C{LatLon}[], C{Numpy2LatLon}[],

762 C{Tuple2LatLon}[] or C{other}[]).

763 @kwarg both: Return the C{directed} (forward only) or the C{symmetric}

764 (combined forward and reverse) C{Hausdorff} distance (C{bool}).

765 @kwarg early: Enable or disable U{early breaking<https://Publik.TUWien.ac.AT/

766 files/PubDat_247739.pdf>} (C{bool}).

767 @kwarg seed: Random sampling seed (C{any}) or C{None}, C{0} or C{False} for no

768 U{random sampling<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}.

769 @kwarg units: Optional, the distance units (C{Unit} or C{str}).

770 @kwarg distance: Callable returning the distance between a B{C{model}}

771 and B{C{target}} point (signature C{(point1, point2)}).

772 @kwarg point: Callable returning the B{C{model}} or B{C{target}} point

773 suitable for B{C{distance}} (signature C{(point)}).

774

775 @return: A L{Hausdorff6Tuple}C{(hd, i, j, mn, md, units)}.

776

777 @raise HausdorffError: Insufficient number of B{C{model}} or B{C{target}} points.

778

779 @raise TypeError: If B{C{distance}} or B{C{point}} is not callable.

780 '''

781 _xcallable(distance=distance, point=point)

782

783 _, ps1 = _points2(model, closed=False, Error=HausdorffError) # PYCHOK non-sequence

784 _, ps2 = _points2(target, closed=False, Error=HausdorffError) # PYCHOK non-sequence

785 return _hausdorff_(ps1, ps2, both, early, seed, units, distance, point)

786

787

788 class Hausdorff6Tuple(_NamedTuple):

789 '''6-Tuple C{(hd, i, j, mn, md, units)} with the U{Hausdorff

790 <https://WikiPedia.org/wiki/Hausdorff_distance>} distance C{hd},

791 indices C{i} and C{j}, the total count C{mn}, the C{I{mean}

792 Hausdorff} distance C{md} and the class or name of both distance

793 C{units}.

794

795 For C{directed Hausdorff} distances, count C{mn} is the number

796 of model points considered. For C{symmetric Hausdorff} distances

797 count C{mn} twice that.

798

799 Indices C{i} and C{j} are the C{model} respectively C{target}

800 point with the C{hd} distance.

801

802 Mean distance C{md} is C{None} if an C{early break} occurred and

803 U{early breaking<https://Publik.TUWien.ac.AT/files/PubDat_247739.pdf>}

804 was enabled by keyword argument C{early=True}.

805 '''

806 _Names_ = ('hd', _i_, _j_, 'mn', 'md', _units_)

807 _Units_ = (_Pass, Number_, Number_, Number_, _Pass, _Pass)

808

809 def toUnits(self, **Error): # PYCHOK expected

810 '''Overloaded C{_NamedTuple.toUnits} for C{hd} and C{md} units.

811 '''

812 U = _xUnit(self.units, Float) # PYCHOK expected

813 M = _Pass if self.md is None else U # PYCHOK expected

814 self._Units_ = (U,) + Hausdorff6Tuple._Units_[1:4] \

815 + (M,) + Hausdorff6Tuple._Units_[5:]

816 return _NamedTuple.toUnits(self, **Error)

817

818

819 def randomrangenerator(seed):

820 '''Return a C{seed}ed random range function generator.

821

822 @arg seed: Initial, internal L{Random} state (C{hashable}

823 or C{None}).

824

825 @note: L{Random} with C{B{seed} is None} seeds from the

826 current time or from a platform-specific randomness

827 source, if available.

828

829 @return: A function to generate random ranges.

830

831 @example:

832

833 >>> rrange = randomrangenerator('R')

834 >>> for r in rrange(n):

835 >>> ... # r is random in 0..n-1

836 '''

837 R = Random(seed)

838

839 def _range(n, *stop_step):

840 '''Like standard L{range}C{start, stop=..., step=...)},

841 except the returned values are in random order.

842

843 @note: Especially C{range(n)} behaves like standard

844 L{Random.sample}C{(range(n), n)} but avoids

845 creating a tuple with the entire C{population}

846 and a list containing all sample values (for

847 large C{n}).

848 '''

849 if stop_step:

850 s = range(n, *stop_step)

851

852 elif n > 32:

853 r = R.randrange # Random._randbelow

854 s = set()

855 for _ in range(n - 32):

856 i = r(n)

857 while i in s:

858 i = r(n)

859 s.add(i)

860 yield i

861 s = set(range(n)) - s # [i for i in range(n) if i not in s]

862 else:

863 s = range(n)

864

865 s = list(s)

866 R.shuffle(s)

867 while s:

868 yield s.pop(0)

869

870 return _range

871

872# **) MIT License

873#

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

875#

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

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

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

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

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

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

882#

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

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

885#

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

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

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

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

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

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

892# OTHER DEALINGS IN THE SOFTWARE.