# Coverage for pygeodesy/ellipsoidalKarney.py : 100%

## 77 statements 77 run 0 missing 5 excluded

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 | # -*- coding: utf-8 -*- u'''Ellipsoidal classes geodetic (lat-/longitude) L{LatLon} and geocentric (ECEF) L{Cartesian} and functions L{areaOf}, L{isclockwise} and L{perimeterOf}, all based on I{Charles Karney's} Python implementation of U{GeographicLib<https://PyPI.org/project/geographiclib>}. Here's an example usage of C{ellipsoidalKarney}: >>> from pygeodesy.ellipsoidalKarney import LatLon >>> Newport_RI = LatLon(41.49008, -71.312796) >>> Cleveland_OH = LatLon(41.499498, -81.695391) >>> Newport_RI.distanceTo(Cleveland_OH) 866,455.4329098687 # meter You can change the ellipsoid model used by the Karney formulae as follows: >>> from pygeodesy import Datums >>> from pygeodesy.ellipsoidalKarney import LatLon >>> p = LatLon(0, 0, datum=Datums.OSGB36) or by converting to anothor datum: >>> p = p.convertDatum(Datums.OSGB36) @newfield example: Example, Examples ''' from pygeodesy.basics import property_RO, _xkwds from pygeodesy.datum import Datums from pygeodesy.ecef import EcefKarney from pygeodesy.ellipsoidalBase import CartesianEllipsoidalBase, \ LatLonEllipsoidalBase from pygeodesy.errors import _ValueError from pygeodesy.formy import points2 from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import Bearing2Tuple, Destination2Tuple from pygeodesy.points import _areaError, ispolar # PYCHOK exported from pygeodesy.utily import unroll180, wrap90, wrap180, wrap360 # all public contants, classes and functions __all__ = _ALL_LAZY.ellipsoidalKarney + ( 'Cartesian', 'LatLon', # classes 'areaOf', 'isclockwise', 'ispolar', 'perimeterOf') # functions __version__ = '20.06.16' class Cartesian(CartesianEllipsoidalBase): '''Extended to convert C{Karney}-based L{Cartesian} to C{Karney}-based L{LatLon} points. ''' _Ecef = EcefKarney #: (INTERNAL) Preferred C{Ecef...} class. def toLatLon(self, **LatLon_datum_kwds): # PYCHOK LatLon=LatLon, datum=None '''Convert this cartesian point to a C{Karney}-based geodetic point. @kwarg LatLon_datum_kwds: Optional L{LatLon}, B{C{datum}} and other keyword arguments, ignored if B{C{LatLon=None}}. Use B{C{LatLon=...}} to override this L{LatLon} class or specify B{C{LatLon=None}}. @return: The geodetic point (L{LatLon}) or if B{C{LatLon}} is C{None}, an L{Ecef9Tuple}C{(x, y, z, lat, lon, height, C, M, datum)} with C{C} and C{M} if available. @raise TypeError: Invalid B{C{LatLon}}, B{C{datum}} or other B{C{LatLon_datum_kwds}}. ''' kwds = _xkwds(LatLon_datum_kwds, LatLon=LatLon, datum=self.datum) return CartesianEllipsoidalBase.toLatLon(self, **kwds) class LatLon(LatLonEllipsoidalBase): '''An ellipsoidal L{LatLon} similar to L{ellipsoidalVincenty.LatLon} but using I{Charles F. F. Karney's} Python U{GeographicLib <https://PyPI.org/project/geographiclib>} to compute the geodesic distance, initial and final bearing (azimuths) between two given points or the destination point given a start point and an initial bearing. @note: This L{LatLon}'s methods require the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. ''' _Ecef = EcefKarney #: (INTERNAL) Preferred C{Ecef...} class. def bearingTo(self, other, wrap=False): # PYCHOK no cover '''DEPRECATED, use method C{initialBearingTo}. ''' return self.initialBearingTo(other, wrap=wrap) def bearingTo2(self, other, wrap=False): '''Compute the initial and final bearing (forward and reverse azimuth) from this to an other point, using Karney's C{Inverse} method. See methods L{initialBearingTo} and L{finalBearingTo} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: A L{Bearing2Tuple}C{(initial, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' r = self._inverse(other, wrap) return self._xnamed(Bearing2Tuple(r.initial, r.final)) def destination(self, distance, bearing, height=None): '''Compute the destination point after having travelled for the given distance from this point along a geodesic given by an initial bearing, using Karney's C{Direct} method. See method L{destination2} for more details. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing in (compass C{degrees360}). @kwarg height: Optional height, overriding the default height (C{meter}, same units as C{distance}). @return: The destination point (L{LatLon}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> d = p.destination(54972.271, 306.86816) >>> d LatLon(37°39′10.14″S, 143°55′35.39″E) # 37.652818°S, 143.926498°E ''' r = self._direct(distance, bearing, self.classof, height) return r.destination def destination2(self, distance, bearing, height=None): '''Compute the destination point and the final bearing (reverse azimuth) after having travelled for the given distance from this point along a geodesic given by an initial bearing, using Karney's C{Direct} method. The distance must be in the same units as this point's datum axes, conventionally C{meter}. The distance is measured on the surface of the ellipsoid, ignoring this point's height. The initial and final bearing (forward and reverse azimuth) are in compass C{degrees360}. The destination point's height and datum are set to this point's height and datum, unless the former is overridden. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing (compass C{degrees360}). @kwarg height: Optional height, overriding the default height (C{meter}, same units as C{distance}). @return: A L{Destination2Tuple}C{(destination, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> d, f = p.destination2(54972.271, 306.86816) >>> d LatLon(37°39′10.14″S, 143°55′35.39″E) # 37.652818°S, 143.926498°E >>> f 307.1736313846665 ''' r = self._direct(distance, bearing, self.classof, height) return self._xnamed(r) def distanceTo(self, other, wrap=False, **unused): # for -DistanceTo '''Compute the distance between this and an other point along a geodesic, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Distance (C{meter}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon(58.64402, -3.07009) >>> d = p.distanceTo(q) # 969,954.1663142084 m ''' return self._inverse(other, wrap).distance def distanceTo3(self, other, wrap=False): '''Compute the distance, the initial and final bearing along a geodesic between this and an other point, using Karney's C{Inverse} method. The distance is in the same units as this point's datum axes, conventionally meter. The distance is measured on the surface of the ellipsoid, ignoring this point's height. The initial and final bearing (forward and reverse azimuth) are in compass C{degrees360} from North. @arg other: Destination point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: A L{Distance3Tuple}C{(distance, initial, final)}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' return self._xnamed(self._inverse(other, wrap)) def finalBearingOn(self, distance, bearing): '''Compute the final bearing (reverse azimuth) after having travelled for the given distance along a geodesic given by an initial bearing from this point, using Karney's C{Direct} method. See method L{destination2} for more details. @arg distance: Distance (C{meter}). @arg bearing: Initial bearing (compass C{degrees360}). @return: Final bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @example: >>> p = LatLon(-37.95103, 144.42487) >>> b = 306.86816 >>> f = p.finalBearingOn(54972.271, b) # 307.1736313846665° ''' return self._direct(distance, bearing, None, None).final def finalBearingTo(self, other, wrap=False): '''Compute the final bearing (reverse azimuth) after having travelled along a geodesic from this point to an other point, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Final bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = new LatLon(50.06632, -5.71475) >>> q = new LatLon(58.64402, -3.07009) >>> f = p.finalBearingTo(q) # 11.297220414306684° >>> p = LatLon(52.205, 0.119) >>> q = LatLon(48.857, 2.351) >>> f = p.finalBearingTo(q) # 157.83449958372714° ''' return self._inverse(other, wrap).final @property_RO def geodesic(self): '''Get this C{LatLon}'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 def initialBearingTo(self, other, wrap=False): '''Compute the initial bearing (forward azimuth) to travel along a geodesic from this point to an other point, using Karney's C{Inverse} method. See method L{distanceTo3} for more details. @arg other: The other point (L{LatLon}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Initial bearing (compass C{degrees360}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon(58.64402, -3.07009) >>> b = p.initialBearingTo(q) # 9.141877488906045° >>> p = LatLon(52.205, 0.119) >>> q = LatLon(48.857, 2.351) >>> b = p.initialBearingTo(q) # 156.1106404059787° @JSname: I{bearingTo}. ''' return self._inverse(other, wrap).initial def toCartesian(self, **Cartesian_datum_kwds): # PYCHOK Cartesian=Cartesian, datum=None '''Convert this point to C{Karney}-based cartesian (ECEF) coordinates. @kwarg Cartesian_datum_kwds: Optional L{Cartesian}, B{C{datum}} and other keyword arguments, ignored if B{C{Cartesian=None}}. Use B{C{Cartesian=...}} to override this L{Cartesian} class or set B{C{Cartesian=None}}. @return: The cartesian (ECEF) coordinates (L{Cartesian}) or if B{C{Cartesian}} is C{None}, an L{Ecef9Tuple}C{(x, y, z, lat, lon, height, C, M, datum)} with C{C} and C{M} if available. @raise TypeError: Invalid B{C{Cartesian}}, B{C{datum}} or other B{C{Cartesian_datum_kwds}}. ''' kwds = _xkwds(Cartesian_datum_kwds, Cartesian=Cartesian, datum=self.datum) return LatLonEllipsoidalBase.toCartesian(self, **kwds) def _direct(self, distance, bearing, LL, height): '''(INTERNAL) Karney's C{Direct} method. @return: A L{Destination2Tuple}C{(destination, final)} or a L{Destination3Tuple}C{(lat, lon, final)} if B{C{LL}} is C{None}. ''' g = self.datum.ellipsoid.geodesic r = g.Direct3(self.lat, self.lon, bearing, distance) if LL: h = self.height if height is None else height d = LL(wrap90(r.lat), wrap180(r.lon), height=h, datum=self.datum) r = Destination2Tuple(self._xnamed(d), wrap360(r.final)) return r def _inverse(self, other, wrap): '''(INTERNAL) Karney's C{Inverse} method. @return: A L{Distance3Tuple}C{(distance, initial, final)}. @raise TypeError: The B{C{other}} point is not L{LatLon}. @raise ValueError: If this and the B{C{other}} point's L{Datum} ellipsoids are not compatible. ''' g = self.ellipsoids(other).geodesic _, lon = unroll180(self.lon, other.lon, wrap=wrap) return g.Inverse3(self.lat, self.lon, other.lat, lon) def _geodesic(datum, points, closed, line, wrap): # Compute the area or perimeter of a polygon, # using the GeographicLib package, iff installed g = datum.ellipsoid.geodesic if not wrap: # capability LONG_UNROLL can't be off raise _ValueError(wrap=wrap) _, points = points2(points, closed=closed) # base=LatLonEllipsoidalBase(0, 0) g = g.Polygon(line) # note, lon deltas are unrolled, by default for p in points: g.AddPoint(p.lat, p.lon) if closed and line: p = points[0] g.AddPoint(p.lat, p.lon) # g.Compute returns (number_of_points, perimeter, signed area) return g.Compute(False, True)[1 if line else 2] def areaOf(points, datum=Datums.WGS84, wrap=True): '''Compute the area of a (n ellipsoidal) polygon. @arg points: The polygon points (L{LatLon}[]). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Area (C{meter}, same as units of the B{C{datum}} ellipsoid, squared). @raise ImportError: Package U{GeographicLib <https://PyPI.org/project/geographiclib>} missing. @raise TypeError: Some B{C{points}} are not L{LatLon}. @raise PointsError: Insufficient number of B{C{points}}. @raise ValueError: Invalid B{C{wrap}}, longitudes not wrapped, unrolled. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.areaOf}, L{sphericalNvector.areaOf} and L{sphericalTrigonometry.areaOf}. ''' return abs(_geodesic(datum, points, True, False, wrap)) def isclockwise(points, datum=Datums.WGS84, wrap=True): '''Determine the direction of a path or polygon. @arg points: The path or polygon points (C{LatLon}[]). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: C{True} if B{C{points}} are clockwise, C{False} otherwise. @raise TypeError: Some B{C{points}} are not C{LatLon}. @raise PointsError: Insufficient number of B{C{points}}. @raise ValueError: The B{C{points}} enclose a pole or zero area. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.isclockwise}. ''' a = _geodesic(datum, points, True, False, wrap) if a > 0: return True elif a < 0: return False raise _areaError(points) def perimeterOf(points, closed=False, datum=Datums.WGS84, wrap=True): '''Compute the perimeter of a (n ellipsoidal) polygon. @arg points: The polygon points (L{LatLon}[]). @kwarg closed: Optionally, close the polygon (C{bool}). @kwarg datum: Optional datum (L{Datum}). @kwarg wrap: Wrap and unroll longitudes (C{bool}). @return: Perimeter (C{meter}, same as units of the B{C{datum}} ellipsoid). @raise ImportError: Package U{GeographicLib <https://PyPI.org/project/geographiclib>} missing. @raise TypeError: Some B{C{points}} are not L{LatLon}. @raise PointsError: Insufficient number of B{C{points}}. @raise ValueError: Invalid B{C{wrap}}, longitudes not wrapped, unrolled. @note: This function requires installation of the U{GeographicLib <https://PyPI.org/project/geographiclib>} package. @see: L{pygeodesy.perimeterOf} and L{sphericalTrigonometry.perimeterOf}. ''' return _geodesic(datum, points, closed, True, wrap) # **) MIT License # # Copyright (C) 2016-2020 -- 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.