# Coverage for pygeodesy/datums.py : 97%

## 160 statements 155 run 5 missing 14 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 | # -*- coding: utf-8 -*- u'''Datums and transformations thereof. Classes L{Datum} and L{Transform} and registries L{Datums} and L{Transforms}, respectively. Pure Python implementation of geodesy tools for ellipsoidal earth models, including datums and ellipsoid parameters for different geographic coordinate systems and methods for converting between them and to cartesian coordinates. Transcoded from JavaScript originals by I{(C) Chris Veness 2005-2016} and published under the same MIT Licence**, see U{latlon-ellipsoidal.js <https://www.Movable-Type.co.UK/scripts/geodesy/docs/latlon-ellipsoidal.js.html>}. Historical geodetic datums: a latitude/longitude point defines a geographic location on or above/below the earth’s surface, measured in degrees from the equator and the International Reference Meridian and meters above the ellipsoid, and based on a given datum. The datum is based on a reference ellipsoid and tied to geodetic survey reference points. Modern geodesy is generally based on the WGS84 datum (as used for instance by GPS systems), but previously various reference ellipsoids and datum references were used. The UK Ordnance Survey National Grid References are still based on the otherwise historical OSGB36 datum, q.v. U{Ordnance Survey 'A guide to coordinate systems in Great Britain', Section 6<https://www.OrdnanceSurvey.co.UK/docs/support/ guide-coordinate-systems-great-britain.pdf>}. @var Datums.BD72: Datum(name='BD72', ellipsoid=Ellipsoids.Intl1924, transform=Transforms.BD72) @var Datums.DHDN: Datum(name='DHDN', ellipsoid=Ellipsoids.Bessel1841, transform=Transforms.DHDN) @var Datums.ED50: Datum(name='ED50', ellipsoid=Ellipsoids.Intl1924, transform=Transforms.ED50) @var Datums.GDA2020: Datum(name='GDA2020', ellipsoid=Ellipsoids.GRS80, transform=Transforms.WGS84) @var Datums.GRS80: Datum(name='GRS80', ellipsoid=Ellipsoids.GRS80, transform=Transforms.WGS84) @var Datums.Irl1975: Datum(name='Irl1975', ellipsoid=Ellipsoids.AiryModified, transform=Transforms.Irl1975) @var Datums.Krassovski1940: Datum(name='Krassovski1940', ellipsoid=Ellipsoids.Krassovski1940, transform=Transforms.Krassovski1940) @var Datums.Krassowsky1940: Datum(name='Krassowsky1940', ellipsoid=Ellipsoids.Krassowsky1940, transform=Transforms.Krassowsky1940) @var Datums.MGI: Datum(name='MGI', ellipsoid=Ellipsoids.Bessel1841, transform=Transforms.MGI) @var Datums.NAD27: Datum(name='NAD27', ellipsoid=Ellipsoids.Clarke1866, transform=Transforms.NAD27) @var Datums.NAD83: Datum(name='NAD83', ellipsoid=Ellipsoids.GRS80, transform=Transforms.NAD83) @var Datums.NTF: Datum(name='NTF', ellipsoid=Ellipsoids.Clarke1880IGN, transform=Transforms.NTF) @var Datums.OSGB36: Datum(name='OSGB36', ellipsoid=Ellipsoids.Airy1830, transform=Transforms.OSGB36) @var Datums.Potsdam: Datum(name='Potsdam', ellipsoid=Ellipsoids.Bessel1841, transform=Transforms.Bessel1841) @var Datums.Sphere: Datum(name='Sphere', ellipsoid=Ellipsoids.Sphere, transform=Transforms.WGS84) @var Datums.TokyoJapan: Datum(name='TokyoJapan', ellipsoid=Ellipsoids.Bessel1841, transform=Transforms.TokyoJapan) @var Datums.WGS72: Datum(name='WGS72', ellipsoid=Ellipsoids.WGS72, transform=Transforms.WGS72) @var Datums.WGS84: Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84) @var Transforms.BD72: Transform(name='BD72', tx=106.86863, ty=-52.29778, tz=103.72389, rx=-0, ry=-0, rz=-0.00001, s=1.2727, s1=1, sx=-0.33657, sy=-0.45696, sz=-1.84218) @var Transforms.Bessel1841: Transform(name='Bessel1841', tx=-582, ty=-105, tz=-414, rx=-0.00001, ry=-0, rz=0.00001, s=-8.3, s1=0.99999, sx=-1.04, sy=-0.35, sz=3.08) @var Transforms.Clarke1866: Transform(name='Clarke1866', tx=8, ty=-160, tz=-176, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) @var Transforms.DHDN: Transform(name='DHDN', tx=-591.28, ty=-81.35, tz=-396.39, rx=0.00001, ry=-0, rz=-0.00001, s=-9.82, s1=0.99999, sx=1.477, sy=-0.0736, sz=-1.458) @var Transforms.ED50: Transform(name='ED50', tx=89.5, ty=93.8, tz=123.1, rx=0, ry=0, rz=0, s=-1.2, s1=1, sx=0, sy=0, sz=0.156) @var Transforms.Identity: Transform(name='Identity', tx=0, ty=0, tz=0, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) @var Transforms.Irl1965: Transform(name='Irl1965', tx=-482.53, ty=130.596, tz=-564.557, rx=0.00001, ry=0, rz=0, s=-8.15, s1=0.99999, sx=1.042, sy=0.214, sz=0.631) @var Transforms.Irl1975: Transform(name='Irl1975', tx=-482.53, ty=130.596, tz=-564.557, rx=-0.00001, ry=-0, rz=-0, s=-1.1, s1=1, sx=-1.042, sy=-0.214, sz=-0.631) @var Transforms.Krassovski1940: Transform(name='Krassovski1940', tx=-24, ty=123, tz=94, rx=-0, ry=0, rz=0, s=-2.423, s1=1, sx=-0.02, sy=0.26, sz=0.13) @var Transforms.Krassowsky1940: Transform(name='Krassowsky1940', tx=-24, ty=123, tz=94, rx=-0, ry=0, rz=0, s=-2.423, s1=1, sx=-0.02, sy=0.26, sz=0.13) @var Transforms.MGI: Transform(name='MGI', tx=-577.326, ty=-90.129, tz=-463.92, rx=0.00002, ry=0.00001, rz=0.00003, s=-2.423, s1=1, sx=5.137, sy=1.474, sz=5.297) @var Transforms.NAD27: Transform(name='NAD27', tx=8, ty=-160, tz=-176, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) @var Transforms.NAD83: Transform(name='NAD83', tx=1.004, ty=-1.91, tz=-0.515, rx=0, ry=0, rz=0, s=-0.0015, s1=1, sx=0.0267, sy=0.00034, sz=0.011) @var Transforms.NTF: Transform(name='NTF', tx=-168, ty=-60, tz=320, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) @var Transforms.OSGB36: Transform(name='OSGB36', tx=-446.448, ty=125.157, tz=-542.06, rx=-0, ry=-0, rz=-0, s=20.4894, s1=1.00002, sx=-0.1502, sy=-0.247, sz=-0.8421) @var Transforms.TokyoJapan: Transform(name='TokyoJapan', tx=148, ty=-507, tz=-685, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) @var Transforms.WGS72: Transform(name='WGS72', tx=0, ty=0, tz=-4.5, rx=0, ry=0, rz=0, s=-0.22, s1=1, sx=0, sy=0, sz=0.554) @var Transforms.WGS84: Transform(name='WGS84', tx=0, ty=0, tz=0, rx=0, ry=0, rz=0, s=0, s1=1, sx=0, sy=0, sz=0) ''' # make sure int/int division yields float quotient, see .basics from __future__ import division from pygeodesy.basics import isscalar, neg_, _xinstanceof from pygeodesy.ellipsoids import a_f2Tuple, _4Ecef, Ellipsoid, \ Ellipsoid2, Ellipsoids, Vector3Tuple # from pygeodesy.errors import _IsnotError # from .fmath from pygeodesy.fmath import fdot, fmean, Fmt, _IsnotError from pygeodesy.interns import NN, _Airy1830_, _AiryModified_, _Bessel1841_, \ _Clarke1866_, _Clarke1880IGN_, _COMMASPACE_, \ _DOT_, _ellipsoid_, _ellipsoidal_, _float as _F, \ _GRS80_, _Intl1924_, _Krassovski1940_, _NAD27_, \ _Krassowsky1940_, _NAD83_, _name_, _s_, _Sphere_, \ _spherical_, _sx_, _sy_, _sz_, _transform_, \ _tx_, _ty_, _tz_, _UNDER_, _WGS72_, _WGS84_, \ _0_0, _0_26, _1_0, _2_0, _8_0, _3600_0 from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import _NamedEnum, _NamedEnumItem, \ _lazyNamedEnumItem as _lazy, Property_RO # from pygeodesy.namedTuples import Vector3Tuple # from .ellipsoids # from pygeodesy.props import Property_RO # from .named # from pygeodesy.streprs import Fmt # from .fmath from pygeodesy.units import Radius_ from math import radians __all__ = _ALL_LAZY.datums __version__ = '21.10.05' _BD72_ = 'BD72' _DHDN_ = 'DHDN' _ED50_ = 'ED50' _GDA2020_ = 'GDA2020' _Identity_ = 'Identity' _Inverse_ = 'Inverse' _Irl1965_ = 'Irl1965' _Irl1975_ = 'Irl1975' _MGI_ = 'MGI' _NTF_ = 'NTF' _OSGB36_ = 'OSGB36' _Potsdam_ = 'Potsdam' _TokyoJapan_ = 'TokyoJapan' def _r_s2(s_): '''(INTERNAL) rotation in C{radians} and C{degree seconds}. ''' return _F(radians(s_ / _3600_0)), s_ class Transform(_NamedEnumItem): '''Helmert transformation. @see: L{Transform7Tuple}. ''' tx = _0_0 # x translation (C{meter}) ty = _0_0 # y translation (C{meter}) tz = _0_0 # z translation (C{meter}) rx = _0_0 # x rotation (C{radians}) ry = _0_0 # y rotation (C{radians}) rz = _0_0 # z rotation (C{radians}) s = _0_0 # scale ppm (C{float}) s1 = _1_0 # scale + 1 (C{float}) sx = _0_0 # x rotation (degree seconds) sy = _0_0 # y rotation (degree seconds) sz = _0_0 # z rotation (degree seconds) def __init__(self, name=NN, tx=0, ty=0, tz=0, sx=0, sy=0, sz=0, s=0): '''New L{Transform}. @kwarg name: Optional, unique name (C{str}). @kwarg tx: Optional X translation (C{meter}). @kwarg ty: Optional Y translation (C{meter}). @kwarg tz: Optional Z translation (C{meter}). @kwarg s: Optional scale (C{float}), ppm. @kwarg sx: Optional X rotation (C{degree seconds}). @kwarg sy: Optional Y rotation (C{degree seconds}). @kwarg sz: Optional Z rotation (C{degree seconds}). @raise NameError: Transform with that B{C{name}} already exists. ''' if tx: self.tx = tx if ty: self.ty = ty if tz: self.tz = tz if sx: # secs to rads self.rx, self.sx = _r_s2(sx) if sy: self.ry, self.sy = _r_s2(sy) if sz: self.rz, self.sz = _r_s2(sz) if s: self.s = s self.s1 = _F(s * 1e-6 + _1_0) # normalize ppm to (s + 1) self._register(Transforms, name) def __eq__(self, other): '''Compare this and an other transform. @arg other: The other transform (L{Transform}). @return: C{True} if equal, C{False} otherwise. ''' return self is other or (isinstance(other, Transform) and self.tx == other.tx and self.ty == other.ty and self.tz == other.tz and self.rx == other.rx and self.ry == other.ry and self.rz == other.rz and self.s == other.s) def inverse(self, name=NN): '''Return the inverse of this transform. @kwarg name: Optional, unique name (C{str}). @return: Inverse (Transform). @raise NameError: Transform with that B{C{name}} already exists. ''' return Transform(name=name or (self.name + _Inverse_), tx=-self.tx, ty=-self.ty, tz=-self.tz, sx=-self.sx, sy=-self.sy, sz=-self.sz, s=-self.s) def toStr(self, prec=5): # PYCHOK expected '''Return this transform as a string. @kwarg prec: Optional number of decimals, unstripped (C{int}). @return: Transform attributes (C{str}). ''' return self._instr(prec, _tx_, _ty_, _tz_, 'rx', 'ry', 'rz', _s_, 's1', _sx_, _sy_, _sz_) def transform(self, x, y, z, inverse=False): '''Transform a (geocentric) Cartesian point, forward or inverse. @arg x: X coordinate (C{meter}). @arg y: Y coordinate (C{meter}). @arg z: Z coordinate (C{meter}). @kwarg inverse: Optional direction, forward or inverse (C{bool}). @return: A L{Vector3Tuple}C{(x, y, z)}, transformed. ''' if inverse: _xyz = neg_(_1_0, x, y, z) _s1 = self.s1 - _2_0 # == -(1 - s * 1e-6)) == -(1 - (s1 - 1)) else: _xyz = _1_0, x, y, z _s1 = self.s1 # x', y', z' = (.tx + x * .s1 - y * .rz + z * .ry, # .ty + x * .rz + y * .s1 - z * .rx, # .tz - x * .ry + y * .rx + z * .s1) return Vector3Tuple(fdot(_xyz, self.tx, _s1, -self.rz, self.ry), fdot(_xyz, self.ty, self.rz, _s1, -self.rx), fdot(_xyz, self.tz, -self.ry, self.rx, _s1), name=self.name) class Transforms(_NamedEnum): '''(INTERNAL) L{Transform} registry, I{must} be a sub-class to accommodate the L{_LazyNamedEnumItem} properties. ''' def _Lazy(self, **name_tx_ty_tz_sx_sy_sz_s): '''(INTERNAL) Instantiate the C{Transform}. ''' return Transform(**name_tx_ty_tz_sx_sy_sz_s) Transforms = Transforms(Transform) # PYCHOK singleton '''Some pre-defined L{Transform}s, all I{lazily} instantiated.''' # <https://WikiPedia.org/wiki/Helmert_transformation> from WGS84 Transforms._assert( BD72 = _lazy(_BD72_, tx=_F(106.868628), ty=_F(-52.297783), tz=_F(103.723893), # <https://www.NGI.BE/FR/FR4-4.shtm> ETRS89 == WG84 # <https://GeoRepository.com/transformation_15929/BD72-to-WGS-84-3.html> sx=_F(-0.33657), sy=_F( -0.456955), sz=_F( -1.84218), s=_F( 1.2727)), Bessel1841 = _lazy(_Bessel1841_, tx=_F(-582.0), ty=_F(-105.0), tz=_F(-414.0), sx=_F( -1.04), sy=_F( -0.35), sz=_F( 3.08), s=_F( -8.3)), Clarke1866 = _lazy(_Clarke1866_, tx=_F(8), ty=_F(-160), tz=_F(-176)), DHDN = _lazy(_DHDN_, tx=_F(-591.28), ty=_F(-81.35), tz=_F(-396.39), sx=_F( 1.477), sy=_F( -0.0736), sz=_F( -1.458), s=_F( -9.82)), # Germany ED50 = _lazy(_ED50_, tx=_F(89.5), ty=_F(93.8), tz=_F(123.1), # <https://GeoNet.ESRI.com/thread/36583> sz=_F(-0.156) # <https://GitHub.com/ChrisVeness/geodesy/blob/master/latlon-ellipsoidal.js> # <https://www.Gov.UK/guidance/oil-and-gas-petroleum-operations-notices#pon-4> sz=_F( 0.156), s=_F(-1.2)), Identity = _lazy(_Identity_), Irl1965 = _lazy(_Irl1965_, tx=_F(-482.530), ty=_F(130.596), tz=_F(-564.557), sx=_F( 1.042), sy=_F( 0.214), sz=_F( 0.631), s=_F( -8.15)), Irl1975 = _lazy(_Irl1975_, tx=_F(-482.530), ty=_F(130.596), tz=_F(-564.557), # XXX rotation signs may be opposite, to be checked sx=_F( -1.042), sy=_F( -0.214), sz=_F( -0.631), s=_F( -1.1)), Krassovski1940 = _lazy(_Krassovski1940_, tx=_F(-24.0), ty=_F(123.0), tz=_F(94.0), sx=_F( -0.02), sy= _0_26, sz=_F( 0.13), s=_F( -2.423)), # spelling Krassowsky1940 = _lazy(_Krassowsky1940_, tx=_F(-24.0), ty=_F(123.0), tz=_F(94.0), sx=_F( -0.02), sy= _0_26, sz=_F( 0.13), s=_F( -2.423)), # spelling MGI = _lazy(_MGI_, tx=_F(-577.326), ty=_F(-90.129), tz=_F(-463.920), sx=_F( 5.137), sy=_F( 1.474), sz=_F( 5.297), s=_F( -2.423)), # Austria NAD27 = _lazy(_NAD27_, tx=_8_0, ty=_F(-160), tz=_F(-176)), NAD83 = _lazy(_NAD83_, tx=_F( 1.004), ty=_F(-1.910), tz=_F(-0.515), sx=_F( 0.0267), sy=_F( 0.00034), sz=_F( 0.011), s=_F(-0.0015)), NTF = _lazy(_NTF_, tx=_F(-168), ty=_F(-60), tz=_F(320)), # XXX verify OSGB36 = _lazy(_OSGB36_, tx=_F(-446.448), ty=_F(125.157), tz=_F(-542.060), sx=_F( -0.1502), sy=_F( -0.2470), sz=_F( -0.8421), s=_F( 20.4894)), TokyoJapan = _lazy(_TokyoJapan_, tx=_F(148), ty=_F(-507), tz=_F(-685)), WGS72 = _lazy(_WGS72_, tz=_F(-4.5), sz=_F(0.554), s=_F(-0.22)), WGS84 = _lazy(_WGS84_), # unity ) class Datum(_NamedEnumItem): '''Ellipsoid and transform parameters for an earth model. ''' _ellipsoid = Ellipsoids.WGS84 # default ellipsoid (L{Ellipsoid}, L{Ellipsoid2}) _transform = Transforms.WGS84 # default transform (L{Transform}) def __init__(self, ellipsoid, transform=None, name=NN): '''New L{Datum}. @arg ellipsoid: The ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). @kwarg transform: Optional transform (L{Transform}). @kwarg name: Optional, unique name (C{str}). @raise NameError: Datum with that B{C{name}} already exists. @raise TypeError: If B{C{ellipsoid}} is not an L{Ellipsoid} nor L{Ellipsoid2} or B{C{transform}} is not a L{Transform}. ''' self._ellipsoid = ellipsoid or Datum._ellipsoid _xinstanceof(Ellipsoid, ellipsoid=self.ellipsoid) self._transform = transform or Datum._transform _xinstanceof(Transform, transform=self.transform) self._register(Datums, name or self.transform.name or self.ellipsoid.name) def __eq__(self, other): '''Compare this and an other datum. @arg other: The other datum (L{Datum}). @return: C{True} if equal, C{False} otherwise. ''' return self is other or (isinstance(other, Datum) and self.ellipsoid == other.ellipsoid and self.transform == other.transform) def ecef(self, Ecef=None): '''Return U{ECEF<https://WikiPedia.org/wiki/ECEF>} converter. @kwarg Ecef: ECEF class to use (L{EcefKarney}, L{EcefVeness} or L{EcefYou}). @return: An ECEF converter for this C{datum} (L{EcefKarney}, L{EcefVeness} or L{EcefYou}). @raise TypeError: Invalid B{C{Ecef}}. ''' return _4Ecef(self, Ecef) @Property_RO def ellipsoid(self): '''Get this datum's ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). ''' return self._ellipsoid @Property_RO def exactTM(self): '''Get the C{ExactTM} projection (L{ExactTransverseMercator}). ''' from pygeodesy.etm import ExactTransverseMercator return ExactTransverseMercator(datum=self) @Property_RO def isEllipsoidal(self): '''Check whether this datum is ellipsoidal (C{bool}). ''' return self._ellipsoid.isEllipsoidal @Property_RO def isOblate(self): '''Check whether this datum's ellipsoidal is I{oblate} (C{bool}). ''' return self._ellipsoid.isOblate @Property_RO def isProlate(self): '''Check whether this datum's ellipsoidal is I{prolate} (C{bool}). ''' return self._ellipsoid.isProlate @Property_RO def isSpherical(self): '''Check whether this datum is (near-)spherical (C{bool}). ''' return self._ellipsoid.isSpherical def toStr(self, **unused): # PYCHOK expected '''Return this datum as a string. @return: Datum attributes (C{str}). ''' t = [Fmt.EQUAL(_name_, repr(self.named))] for a in (_ellipsoid_, _transform_): v = getattr(self, a) t.append(NN(Fmt.EQUAL(a, v.classname), _s_, _DOT_, v.name)) return _COMMASPACE_.join(t) @Property_RO def transform(self): '''Get this datum's transform (L{Transform}). ''' return self._transform def _En2(earth, name): '''(INTERNAL) Helper for C{_ellipsoid} and C{_ellipsoidal_datum}. ''' if isinstance(earth, (Ellipsoid, Ellipsoid2)): E = earth n = NN(_UNDER_, name or E.name) elif isinstance(earth, Datum): E = earth.ellipsoid n = NN(_UNDER_, name or earth.name) elif isinstance(earth, a_f2Tuple): n = NN(_UNDER_, name or earth.name) E = Ellipsoid(earth.a, earth.b, name=n) elif isinstance(earth, (tuple, list)) and len(earth) == 2: # no cover n = NN(_UNDER_, name or getattr(earth, _name_, NN)) a_f = a_f2Tuple(*earth) E = Ellipsoid(a_f.a, a_f.b, name=n) # PYCHOK .a else: E, n = None, NN return E, n def _ellipsoid(earth, name=NN): # in .trf '''(INTERNAL) Create an L{Ellipsoid} or L{Ellipsoid2} from L{Datum} or C{a_f2Tuple}. ''' E, _ = _En2(earth, name) if not E: _xinstanceof(Ellipsoid, Ellipsoid2, a_f2Tuple, Datum, earth=earth) return E def _ellipsoidal_datum(earth, name=NN, raiser=False): '''(INTERNAL) Create a L{Datum} from an L{Ellipsoid} or L{Ellipsoid2} or C{a_f2Tuple}. ''' if isinstance(earth, Datum): d = earth else: E, n = _En2(earth, name) if not E: _xinstanceof(Datum, Ellipsoid, Ellipsoid2, a_f2Tuple, earth=earth) d = Datum(E, transform=Transforms.Identity, name=n) if raiser and not d.isEllipsoidal: raise _IsnotError(_ellipsoidal_, earth=earth) return d def _mean_radius(radius, *lats): '''(INTERNAL) Compute the mean radius of a L{Datum} from an L{Ellipsoid}, L{Ellipsoid2} or scalar earth C{radius} for several latitudes. ''' if isscalar(radius): r = Radius_(radius, low=0, Error=TypeError) else: # no cover E = _ellipsoidal_datum(radius).ellipsoid r = fmean(map(E.Rgeocentric, lats)) if lats else E.Rmean return r def _spherical_datum(earth, name=NN, raiser=False): '''(INTERNAL) Create a L{Datum} from an L{Ellipsoid}, L{Ellipsoid2} or scalar earth C{radius}. ''' if isscalar(earth): n = NN(_UNDER_, name) r = Radius_(earth, Error=TypeError) E = Ellipsoid(r, r, name=n) d = Datum(E, transform=Transforms.Identity, name=n) else: d = _ellipsoidal_datum(earth, name=name) if raiser and not d.isSpherical: raise _IsnotError(_spherical_, earth=earth) return d class Datums(_NamedEnum): '''(INTERNAL) L{Datum} registry, I{must} be a sub-class to accommodate the L{_LazyNamedEnumItem} properties. ''' def _Lazy(self, ellipsoid_name, transform_name, name=NN): '''(INTERNAL) Instantiate the L{Datum}. ''' return Datum(Ellipsoids.get(ellipsoid_name), Transforms.get(transform_name), name=name) Datums = Datums(Datum) # PYCHOK singleton '''Some pre-defined L{Datum}s, all I{lazily} instantiated.''' # Datums with associated ellipsoid and Helmert transform parameters # to convert from WGS84 into the given datum. More are available at # <https://Earth-Info.NGA.mil/GandG/coordsys/datums/NATO_DT.pdf> and # <XXX://www.FieldenMaps.info/cconv/web/cconv_params.js>. Datums._assert( # Belgian Datum 1972, based on Hayford ellipsoid. # <https://NL.WikiPedia.org/wiki/Belgian_Datum_1972> # <https://SpatialReference.org/ref/sr-org/7718/html/> BD72 = _lazy(_BD72_, _Intl1924_, _BD72_), # Germany <https://WikiPedia.org/wiki/Bessel-Ellipsoid> # <https://WikiPedia.org/wiki/Helmert_transformation> DHDN = _lazy(_DHDN_, _Bessel1841_, _DHDN_), # <https://www.Gov.UK/guidance/oil-and-gas-petroleum-operations-notices#pon-4> ED50 = _lazy(_ED50_, _Intl1924_, _ED50_), # Australia <https://ICSM.Gov.AU/datum/gda2020-and-gda94-technical-manuals> # ADG66 = _lazy(_ADG66_, _ANS_, _WGS84_), # XXX Transform? # ADG84 = _lazy(_ADG84_, _ANS_, _WGS84_), # XXX Transform? # GDA94 = _lazy(_GDA94_, _GRS80_, _WGS84_), GDA2020 = _lazy(_GDA2020_, _GRS80_, _WGS84_), # XXX Transform? # <https://WikiPedia.org/wiki/GRS_80> GRS80 = _lazy(_GRS80_, _GRS80_, _WGS84_), # <https://OSI.IE/OSI/media/OSI/Content/Publications/transformations_booklet.pdf> # Irl1975 = _lazy(_Irl1965_, _AiryModified_, _Irl1965_), Irl1975 = _lazy(_Irl1975_, _AiryModified_, _Irl1975_), # Germany <https://WikiPedia.org/wiki/Helmert_transformation> Krassovski1940 = _lazy(_Krassovski1940_, _Krassovski1940_, _Krassovski1940_), # XXX spelling? Krassowsky1940 = _lazy(_Krassowsky1940_, _Krassowsky1940_, _Krassowsky1940_), # XXX spelling? # Austria <https://DE.WikiPedia.org/wiki/Datum_Austria> MGI = _lazy(_MGI_, _Bessel1841_, _MGI_), # <https://WikiPedia.org/wiki/Helmert_transformation> NAD27 = _lazy(_NAD27_, _Clarke1866_, _NAD27_), # NAD83 (2009) == WGS84 - <https://www.UVM.edu/giv/resources/WGS84_NAD83.pdf> # (If you *really* must convert WGS84<->NAD83, you need more than this!) NAD83 = _lazy(_NAD83_, _GRS80_, _NAD83_), # Nouvelle Triangulation Francaise (Paris) XXX verify NTF = _lazy(_NTF_, _Clarke1880IGN_, _NTF_), # <https://www.OrdnanceSurvey.co.UK/docs/support/guide-coordinate-systems-great-britain.pdf> OSGB36 = _lazy(_OSGB36_, _Airy1830_, _OSGB36_), # Germany <https://WikiPedia.org/wiki/Helmert_transformation> Potsdam = _lazy(_Potsdam_, _Bessel1841_, _Bessel1841_), # XXX psuedo-ellipsoids for spherical LatLon Sphere = _lazy(_Sphere_, _Sphere_, _WGS84_), # <https://www.GeoCachingToolbox.com?page=datumEllipsoidDetails> TokyoJapan = _lazy(_TokyoJapan_, _Bessel1841_, _TokyoJapan_), # <https://www.ICAO.int/safety/pbn/documentation/eurocontrol/eurocontrol%20wgs%2084%20implementation%20manual.pdf> WGS72 = _lazy(_WGS72_, _WGS72_, _WGS72_), WGS84 = _lazy(_WGS84_, _WGS84_, _WGS84_), ) _WGS84 = Datums.WGS84 # PYCHOK exported internally if __name__ == '__main__': from pygeodesy.interns import _COMMA_, _NL_, _NL_var_ # __doc__ of this file, force all into registery for r in (Datums, Transforms): t = [NN] + r.toRepr(all=True).split(_NL_) print(_NL_var_.join(i.strip(_COMMA_) for i in t)) # **) 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.