# Coverage for pygeodesy/ellipsoidalBase.py : 94%

## 189 statements 177 run 12 missing 3 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 | # -*- coding: utf-8 -*- u'''(INTERNAL) Ellipsoidal base classes C{CartesianEllipsoidalBase} and C{LatLonEllipsoidalBase}. Pure Python implementation of geodesy tools for ellipsoidal earth models, transcribed in part from JavaScript originals by I{(C) Chris Veness 2005-2016} and published under the same MIT Licence**, see for example U{latlon-ellipsoidal <https://www.Movable-Type.co.UK/scripts/geodesy/docs/latlon-ellipsoidal.js.html>}. @newfield example: Example, Examples ''' from pygeodesy.cartesianBase import CartesianBase from pygeodesy.datum import Datum, Datums from pygeodesy.ecef import EcefVeness from pygeodesy.fmath import EPS, _IsNotError from pygeodesy.latlonBase import LatLonBase from pygeodesy.lazily import _ALL_DOCS from pygeodesy.named import Vector3Tuple from pygeodesy.trf import _2epoch, RefFrame, TRFError, _reframeTransforms from pygeodesy.utily import property_RO, _TypeError __all__ = _ALL_DOCS('CartesianEllipsoidalBase', 'LatLonEllipsoidalBase') __version__ = '20.01.14' class CartesianEllipsoidalBase(CartesianBase): '''(INTERNAL) Base class for ellipsoidal C{Cartesian}s. ''' _datum = Datums.WGS84 #: (INTERNAL) L{Datum}. _Ecef = EcefVeness #: (INTERNAL) Preferred C{Ecef...} class, backward compatible. def convertRefFrame(self, reframe2, reframe, epoch=None): '''Convert this cartesian point from one to an other reference frame. @param reframe2: Reference frame to convert I{to} (L{RefFrame}). @param reframe: Reference frame to convert I{from} (L{RefFrame}). @keyword epoch: Optional epoch to observe for B{C{reframe}}, a fractional calendar year (C{scalar}). @return: The converted point (C{Cartesian}) or this point if conversion is C{nil}. @raise TRFError: No conversion available from B{C{reframe}} to B{C{reframe2}}. @raise TypeError: B{C{reframe2}} or B{C{reframe}} not a L{RefFrame} or B{C{epoch}} not C{scalar}. ''' _TypeError(RefFrame, reframe2=reframe2, reframe=reframe) c, d = self, self.datum for t in _reframeTransforms(reframe2, reframe, reframe.epoch if epoch is None else _2epoch(epoch)): c = c._applyHelmert(t, False, datum=d) return c class LatLonEllipsoidalBase(LatLonBase): '''(INTERNAL) Base class for ellipsoidal C{LatLon}s. ''' _convergence = None #: (INTERNAL) UTM/UPS meridian convergence (C{degrees}). _datum = Datums.WGS84 #: (INTERNAL) Datum (L{Datum}). _elevation2 = () #: (INTERNAL) Cached C{elevation2} result. _epoch = None #: (INTERNAL) overriding .reframe.epoch (C{float}). _etm = None #: (INTERNAL) Cached toEtm (L{Etm}). _geoidHeight2 = () #: (INTERNAL) Cached C{geoidHeight2} result. _lcc = None #: (INTERNAL) Cached toLcc (C{Lcc}). _osgr = None #: (INTERNAL) Cached toOsgr (C{Osgr}). _reframe = None #: (INTERNAL) reference frame (L{RefFrame}). _scale = None #: (INTERNAL) UTM/UPS scale factor (C{float}). _ups = None #: (INTERNAL) Cached toUps (L{Ups}). _utm = None #: (INTERNAL) Cached toUtm (L{Utm}). _wm = None #: (INTERNAL) Cached toWm (webmercator.Wm instance). _3xyz = None #: (DEPRECATED) Cached (L{Vector3Tuple}) def __init__(self, lat, lon, height=0, datum=None, reframe=None, epoch=None, name=''): '''Create an ellipsoidal C{LatLon} point frome the given lat-, longitude and height on the given datum and with the given reference frame and epoch. @param lat: Latitude (C{degrees} or DMS C{[N|S]}). @param lon: Longitude (C{degrees} or DMS C{str[E|W]}). @keyword height: Optional elevation (C{meter}, the same units as the datum's half-axes). @keyword datum: Optional, ellipsoidal datum to use (L{Datum}). @keyword reframe: Optional reference frame (L{RefFrame}). @keyword epoch: Optional epoch to observe for B{C{reframe}} (C{scalar}), a non-zero, fractional calendar year. @keyword name: Optional name (string). @raise TypeError: B{C{datum}} is not a L{datum}, B{C{reframe}} is not a L{RefFrame} or B{C{epoch}} is not C{scalar} non-zero. @example: >>> p = LatLon(51.4778, -0.0016) # height=0, datum=Datums.WGS84 ''' LatLonBase.__init__(self, lat, lon, height=height, name=name) if datum: self.datum = datum if reframe: self.reframe = reframe self.epoch = epoch def _Radjust2(self, adjust, datum, meter_text2): '''(INTERNAL) Adjust elevation or geoidHeight with difference in Gaussian radii of curvature of given datum and NAD83. @note: This is an arbitrary, possibly incorrect adjustment. ''' if adjust: # Elevation2Tuple or GeoidHeight2Tuple m, t = meter_text2 if isinstance(m, float): n = Datums.NAD83.ellipsoid.rocGauss(self.lat) if min(abs(m), n) > EPS: # use ratio, datum and NAD83 units may differ e = self.ellipsoid(datum).rocGauss(self.lat) if min(abs(e - n), e) > EPS: m *= e / n meter_text2 = meter_text2.classof(m, t) return self._xnamed(meter_text2) def _update(self, updated): if updated: # reset cached attrs self._etm = self._lcc = self._osgr = self._ups = \ self._utm = self._wm = self._3xyz = None self._elevation2 = self._geoidHeight2 = () LatLonBase._update(self, updated) def _xcopy(self, *attrs): '''(INTERNAL) Make copy with add'l, subclass attributes. ''' return LatLonBase._xcopy(self, '_datum', '_epoch', '_reframe', *attrs) def antipode(self, height=None): '''Return the antipode, the point diametrically opposite to this point. @keyword height: Optional height of the antipode, height of this point otherwise (C{meter}). @return: The antipodal point (C{LatLon}). ''' lla = LatLonBase.antipode(self, height=height) if lla.datum != self.datum: lla.datum = self.datum return lla @property_RO def convergence(self): '''Get this point's UTM or UPS meridian convergence (C{degrees}) or C{None} if not converted from L{Utm} ot L{Ups}. ''' return self._convergence def convertDatum(self, datum2): '''Convert this point to an other datum. @param datum2: Datum to convert I{to} (L{Datum}). @return: The converted point (ellipsoidal C{LatLon}). @raise TypeError: The B{C{datum2}} is not a L{Datum}. @example: >>> p = LatLon(51.4778, -0.0016) # default Datums.WGS84 >>> p.convertDatum(Datums.OSGB36) # 51.477284°N, 000.00002°E ''' if self.datum == datum2: return self.copy() c = self.toCartesian().convertDatum(datum2) return c.toLatLon(datum=datum2, LatLon=self.classof) def convertRefFrame(self, reframe2): '''Convert this point to an other reference frame. @param reframe2: Reference frame to convert I{to} (L{RefFrame}). @return: The converted point (ellipsoidal C{LatLon}) or this point if conversion is C{nil}. @raise TRFError: No B{C{.reframe}} or no conversion available from B{C{.reframe}} to B{C{reframe2}}. @raise TypeError: The B{C{reframe2}} is not a L{RefFrame}. @example: >>> p = LatLon(51.4778, -0.0016, reframe=RefFrames.ETRF2000) # default Datums.WGS84 >>> p.convertRefFrame(RefFrames.ITRF2014) # 51.477803°N, 000.001597°W, +0.01m ''' _TypeError(RefFrame, reframe2=reframe2) if not self.reframe: raise TRFError('no %r.%s' % (self, 'reframe')) ts = _reframeTransforms(reframe2, self.reframe, self.epoch) if ts: c = self.toCartesian() for t in ts: c = c._applyHelmert(t, False) ll = c.toLatLon(datum=self.datum, LatLon=self.classof, epoch=self.epoch, reframe=reframe2) # ll.reframe, ll.epoch = reframe2, self.epoch else: ll = self return ll @property def datum(self): '''Get this point's datum (L{Datum}). ''' return self._datum @datum.setter # PYCHOK setter! def datum(self, datum): '''Set this point's datum I{without conversion}. @param datum: New datum (L{Datum}). @raise TypeError: The B{C{datum}} is not a L{Datum} or not ellipsoidal. ''' _TypeError(Datum, datum=datum) if not datum.isEllipsoidal: raise _IsNotError('ellipsoidal', datum=datum) self._update(datum != self._datum) self._datum = datum def distanceTo2(self, other): '''Approximate the distance and (initial) bearing between this and an other (ellipsoidal) point based on the radii of curvature. Suitable only for short distances up to a few hundred Km or Miles and only between non-near-polar points. @param other: The other point (C{LatLon}). @return: An L{Distance2Tuple}C{(distance, initial)}. @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. @see: Method L{Ellipsoid.distance2} and U{Local, flat earth approximation<https://www.EdWilliams.org/avform.htm#flat>}. ''' return self.ellipsoids(other).distance2(self.lat, self.lon, other.lat, other.lon) def elevation2(self, adjust=True, datum=Datums.WGS84, timeout=2): '''Return elevation of this point for its or the given datum. @keyword adjust: Adjust the elevation for a B{C{datum}} other than C{NAD83}. @keyword datum: Optional datum (L{Datum}). @keyword timeout: Optional query timeout (seconds). @return: An L{Elevation2Tuple}C{(elevation, data_source)} or C{(None, error)} in case of errors. @note: The adjustment applied is the difference in geocentric earth radius for the B{C{datum}} used and the C{NAV83} datum upon which L{elevations.elevation2} is based. @note: NED elevation is only available for locations within the U{Conterminous US (CONUS) <https://WikiPedia.org/wiki/Contiguous_United_States>}. @see: Function L{elevations.elevation2} and method L{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if not self._elevation2: # get elevation and data source from pygeodesy.elevations import elevation2 self._elevation2 = elevation2(self.lat, self.lon, timeout=timeout) return self._Radjust2(adjust, datum, self._elevation2) def ellipsoid(self, datum=Datums.WGS84): '''Return the ellipsoid of this point's datum or the given datum. @keyword datum: Default datum (L{Datum}). @return: The ellipsoid (L{Ellipsoid}). ''' return getattr(self, 'datum', datum).ellipsoid def ellipsoids(self, other): '''Check the type and ellipsoid of this and an other point's datum. @param other: The other point (C{LatLon}). @return: This point's datum ellipsoid (L{Ellipsoid}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. ''' self.others(other) E = self.ellipsoid() try: # other may be Sphere, etc. e = other.ellipsoid() except AttributeError: try: # no ellipsoid method, try datum e = other.datum.ellipsoid except AttributeError: e = E # no datum, XXX assume equivalent? if e != E: c = E.classname raise ValueError('%s %s mistmatch: %ss.%s vs %ss.%s' % ('other', c, c, e.name, c, E.name)) return E @property def epoch(self): '''Get this point's observed epoch (C{float}) or C{None}. ''' return self._epoch or (self.reframe.epoch if self.reframe else None) @epoch.setter # PYCHOK setter! def epoch(self, epoch): '''Set or clear this point's observed epoch. @param epoch: Observed epoch, a fractional calendar year (C{scalar}) or C{None}. @raise TypeError: The B{C{epoch}} is not C{scalar}. ''' self._epoch = None if epoch is None else _2epoch(epoch) def geoidHeight2(self, adjust=False, datum=Datums.WGS84, timeout=2): '''Return geoid height of this point for its or the given datum. @keyword adjust: Adjust the geoid height for a B{C{datum}} other than C{NAD83/NADV88}. @keyword datum: Optional datum (L{Datum}). @keyword timeout: Optional query timeout (seconds). @return: An L{GeoidHeight2Tuple}C{(height, model_name)} or C{(None, error)} in case of errors. @note: The adjustment applied is the difference in geocentric earth radius for the given B{C{datum}} and the C{NAV83/NADV88} datum of the L{elevations.geoidHeight2}. @note: The geoid height is only available for locations within the U{Conterminous US (CONUS) <https://WikiPedia.org/wiki/Contiguous_United_States>}. @see: Function L{elevations.geoidHeight2} and method L{Ellipsoid.Rgeocentric} for further details and possible C{error}s. ''' if not self._geoidHeight2: # get elevation and data source from pygeodesy.elevations import geoidHeight2 self._geoidHeight2 = geoidHeight2(self.lat, self.lon, model=0, timeout=timeout) return self._Radjust2(adjust, datum, self._geoidHeight2) @property_RO def isEllipsoidal(self): '''Check whether this C{LatLon} point is ellipsoidal (C{bool}). ''' return self.datum.isEllipsoidal @property_RO def isSpherical(self): '''Check whether this C{LatLon} point is spherical (C{bool}). ''' return self.datum.isSpherical def parse(self, strll, height=0, datum=None, sep=','): '''Parse a string representing this C{LatLon} point. The lat- and longitude must be separated by a sep[arator] character. If height is present it must follow and be separated by another sep[arator]. Lat- and longitude may be swapped, provided at least one ends with the proper compass direction. For more details, see functions L{parse3llh} and L{parseDMS} in sub-module L{dms}. @param strll: Lat, lon [, height] (string). @keyword height: Optional, default height (C{meter} or C{None}). @keyword datum: Optional, default datum (L{Datum}). @keyword sep: Optional separator (string). @return: The point (L{LatLonEllipsoidalBase}). @raise ValueError: Invalid B{C{strll}}. ''' from pygeodesy.dms import parse3llh a, b, h = parse3llh(strll, height=height, sep=sep) return self.classof(a, b, height=h, datum=datum or self.datum) @property def reframe(self): '''Get this point's reference frame (L{RefFrame}) or C{None}. ''' return self._reframe @reframe.setter # PYCHOK setter! def reframe(self, reframe): '''Set or clear this point's reference frame. @param reframe: Reference frame (L{RefFrame}) or C{None}. @raise TypeError: The B{C{reframe}} is not a L{RefFrame}. ''' if isinstance(reframe, RefFrame): self._reframe = reframe elif reframe is not None: _TypeError(RefFrame, reframe=reframe) elif self.reframe is not None: self._reframe = None @property_RO def scale(self): '''Get this point's UTM grid or UPS point scale factor (C{float}) or C{None} if not converted from L{Utm} or L{Ups}. ''' return self._scale def to3xyz(self): # overloads LatLonBase.to3xyz '''DEPRECATED, use method C{toEcef}. @return: A L{Vector3Tuple}C{(x, y, z)}. ''' if self._3xyz is None: r = self.toEcef() self._3xyz = Vector3Tuple(r.x, r.y, r.z) return self._xrenamed(self._3xyz) def toEtm(self): '''Convert this C{LatLon} point to an ETM coordinate. @return: The ETM coordinate (L{Etm}). @see: Function L{toEtm8}. ''' if self._etm is None: from pygeodesy.etm import toEtm8, Etm # PYCHOK recursive import self._etm = toEtm8(self, datum=self.datum, Etm=Etm) return self._etm def toLcc(self): '''Convert this C{LatLon} point to a Lambert location. @see: Function L{toLcc} in module L{lcc}. @return: The Lambert location (L{Lcc}). ''' if self._lcc is None: from pygeodesy.lcc import Lcc, toLcc # PYCHOK recursive import self._lcc = toLcc(self, height=self.height, Lcc=Lcc, name=self.name) return self._lcc def toOsgr(self): '''Convert this C{LatLon} point to an OSGR coordinate. @see: Function L{toOsgr} in module L{osgr}. @return: The OSGR coordinate (L{Osgr}). ''' if self._osgr is None: from pygeodesy.osgr import Osgr, toOsgr # PYCHOK recursive import self._osgr = toOsgr(self, datum=self.datum, Osgr=Osgr, name=self.name) return self._osgr def toUps(self, pole='N', falsed=True): '''Convert this C{LatLon} point to a UPS coordinate. @keyword pole: Optional top/center of (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @keyword falsed: False easting and northing (C{bool}). @return: The UPS coordinate (L{Ups}). @see: Function L{toUps8}. ''' if self._ups is None: from pygeodesy.ups import toUps8, Ups # PYCHOK recursive import self._ups = toUps8(self, datum=self.datum, Ups=Ups, pole=pole, falsed=falsed) return self._ups def toUtm(self): '''Convert this C{LatLon} point to a UTM coordinate. @return: The UTM coordinate (L{Utm}). @see: Function L{toUtm8}. ''' if self._utm is None: from pygeodesy.utm import toUtm8, Utm # PYCHOK recursive import self._utm = toUtm8(self, datum=self.datum, Utm=Utm) return self._utm def toUtmUps(self, pole=''): '''Convert this C{LatLon} point to a UTM or UPS coordinate. @keyword pole: Optional top/center of UPS (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @return: The UTM or UPS coordinate (L{Utm} or L{Ups}). @raise TypeError: Result in L{Utm} or L{Ups}. @see: Function L{toUtmUps}. ''' if self._utm: u = self._utm elif self._ups and (self._utm.pole == pole or not pole): u = self._ups else: from pygeodesy.utmups import toUtmUps8, Utm, Ups # PYCHOK recursive import u = toUtmUps8(self, datum=self.datum, Utm=Utm, Ups=Ups, pole=pole) if isinstance(u, Utm): self._utm = u elif isinstance(u, Ups): self._ups = u else: _TypeError(Utm, Ups, toUtmUps8=u) return u def toWm(self): '''Convert this C{LatLon} point to a WM coordinate. @see: Function L{toWm} in module L{webmercator}. @return: The WM coordinate (L{Wm}). ''' if self._wm is None: from pygeodesy.webmercator import toWm # PYCHOK recursive import self._wm = toWm(self) return self._wm # **) 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.