# Coverage for pygeodesy/latlonBase.py : 96%

## 188 statements 181 run 7 missing 20 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 | # -*- coding: utf-8 -*- u'''(INTERNAL) base classes for elliposiodal, spherical and vectorial C{LatLon}s. After I{(C) Chris Veness 2011-2015} published under the same MIT Licence**, see U{https://www.Movable-Type.co.UK/scripts/latlong.html}, U{<https://www.Movable-Type.co.UK/scripts/geodesy/docs/latlon-ellipsoidal.js.html>} and U{https://www.Movable-Type.co.UK/scripts/latlong-vectors.html}. @newfield example: Example, Examples ''' from pygeodesy.basics import EPS, map1, R_M, property_doc_, property_RO, \ scalar, _TypeError from pygeodesy.dms import F_D, F_DMS, latDMS, lonDMS, parseDMS, parseDMS2 from pygeodesy.ecef import EcefKarney from pygeodesy.fmath import favg from pygeodesy.formy import antipode, compassAngle, equirectangular, euclidean, \ haversine, isantipode, latlon2n_xyz, points2, vincentys from pygeodesy.lazily import _ALL_DOCS from pygeodesy.named import Bounds2Tuple, LatLon2Tuple, _NamedBase, \ notOverloaded, PhiLam2Tuple, Vector3Tuple from pygeodesy.vector3d import Vector3d from math import asin, cos, degrees, radians # XXX the following classes are listed only to get # Epydoc to include class and method documentation __all__ = _ALL_DOCS('LatLonBase') __version__ = '20.03.20' class LatLonBase(_NamedBase): '''(INTERNAL) Base class for C{LatLon} points on spherical or ellipsoidal earth models. ''' _datum = None #: (INTERNAL) L{Datum}, to be overriden. _Ecef = EcefKarney #: (INTERNAL) Preferred C{Ecef...} class. _e9t = None #: (INTERNAL) Cached toEcef (L{Ecef9Tuple}). _height = 0 #: (INTERNAL) Height (C{meter}). _lat = 0 #: (INTERNAL) Latitude (C{degrees}). _latlon = None #: (INTERNAL) Cached (L{LatLon2Tuple}). _lon = 0 #: (INTERNAL) Longitude (C{degrees}). _name = '' #: (INTERNAL) name (C{str}). _philam = None #: (INTERNAL) Cached (L{PhiLam2Tuple}). _v3d = None #: (INTERNAL) Cached toVector3d (L{Vector3d}). _xyz = None #: (INTERNAL) Cached xyz (L{Vector3Tuple}). _xyzh = None #: (INTERNAL) Cached xyzh (L{Vector4Tuple}). def __init__(self, lat, lon, height=0, name=''): '''New C{LatLon}. @arg lat: Latitude (C{degrees} or DMS C{str} with N or S suffix). @arg lon: Longitude (C{degrees} or DMS C{str} with E or W suffix). @kwarg height: Optional height (C{meter} above or below the earth surface). @kwarg name: Optional name (C{str}). @return: New instance (C{LatLon}). @raise RangeError: Value of B{C{lat}} or B{C{lon}} outside the valid range and C{rangerrors} set to C{True}. @raise ValueError: Invalid B{C{lat}} or B{C{lon}}. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon('50°03′59″N', """005°42'53"W""") ''' self._lat, self._lon = parseDMS2(lat, lon) # PYCHOK LatLon2Tuple if height: # elevation self._height = scalar(height, None, name='height') if name: self.name = name def __eq__(self, other): return self.isequalTo(other) def __ne__(self, other): return not self.isequalTo(other) def __str__(self): return self.toStr(form=F_D, prec=6) def _havg(self, other, f=0.5): '''(INTERNAL) Weighted, average height. @arg other: An other point (C{LatLon}). @kwarg f: Optional fraction (C{float}). @return: Average, fractional height (C{float}). ''' return favg(self.height, other.height, f=f) def _update(self, updated, *attrs): '''(INTERNAL) Zap cached attributes if updated. ''' if updated: _NamedBase._update(self, updated, '_e9t', '_latlon', '_philam', '_v3d', '_xyz', '_xyzh', *attrs) def antipode(self, height=None): '''Return the antipode, the point diametrically opposite to this point. @kwarg height: Optional height of the antipode, height of this point otherwise (C{meter}). @return: The antipodal point (C{LatLon}). ''' a, b = antipode(self.lat, self.lon) # PYCHOK LatLon2Tuple h = self.height if height is None else height return self.classof(a, b, height=h) def bounds(self, wide, high, radius=R_M): '''DEPRECATED, use method C{boundsOf}. ''' return self.boundsOf(wide, high, radius=radius) # PYCHOK no cover def boundsOf(self, wide, high, radius=R_M): '''Return the SE and NW lat-/longitude of a great circle bounding box centered at this location. @arg wide: Longitudinal box width (C{meter}, same units as B{C{radius}} or C{degrees} if B{C{radius}} is C{None}). @arg high: Latitudinal box height (C{meter}, same units as B{C{radius}} or C{degrees} if B{C{radius}} is C{None}). @kwarg radius: Mean earth radius (C{meter}). @return: A L{Bounds2Tuple}C{(latlonSW, latlonNE)}, the lower-left and upper-right corner (C{LatLon}). @see: U{https://www.Movable-Type.co.UK/scripts/latlong-db.html} ''' w = wide * 0.5 h = high * 0.5 if radius > EPS: ca = cos(self.phi) if ca > EPS: w = degrees(asin(w / radius) / ca) else: w = 0 # XXX h = degrees(h / radius) w, h = abs(w), abs(h) r = Bounds2Tuple(self.classof(self.lat - h, self.lon - w, height=self.height), self.classof(self.lat + h, self.lon + w, height=self.height)) return self._xnamed(r) def compassAngle(self, other): '''DEPRECATED, use method C{compassAngleTo}. ''' return self.compassAngleTo(other) # PYCHOK no cover def compassAngleTo(self, other, adjust=True, wrap=False): '''Return the angle from North for the direction vector between this and an other point. Suitable only for short, non-near-polar vectors up to a few hundred Km or Miles. Use method C{initialBearingTo} for larger distances. @arg other: The other point (C{LatLon}). @kwarg adjust: Adjust the longitudinal delta by the cosine of the mean latitude (C{bool}). @kwarg wrap: Wrap and L{unroll180} longitudes and longitudinal delta (C{bool}). @return: Compass angle from North (C{degrees360}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @note: Courtesy Martin Schultz. @see: U{Local, flat earth approximation <https://www.EdWilliams.org/avform.htm#flat>}. ''' self.others(other) return compassAngle(self.lat, self.lon, other.lat, other.lon, adjust=adjust, wrap=wrap) @property_RO def datum(self): '''(INTERNAL) I{Must be overloaded}. ''' notOverloaded(self, self.datum.__name__) def _distanceTo(self, func, other, radius, **options): '''(INTERNAL) Helper for methods C{<func>To}. ''' self.others(other) if radius is None: radius = self._datum.ellipsoid.R1 if self._datum else R_M return func(self.lat, self.lon, other.lat, other.lon, radius=radius, **options) @property_RO def Ecef(self): '''Get the ECEF C{class} (L{EcefKarney} or L{EcefVeness}). ''' return self._Ecef def equals(self, other, eps=None): '''DEPRECATED, use method C{isequalTo}. ''' return self.isequalTo(other, eps=eps) # PYCHOK no cover def equals3(self, other, eps=None): '''DEPRECATED, use method C{isequalTo3}. ''' return self.isequalTo3(other, eps=eps) # PYCHOK no cover def equirectangularTo(self, other, radius=None, **options): '''Compute the distance between this and an other point using the U{Equirectangular Approximation / Projection <https://www.Movable-Type.co.UK/scripts/latlong.html>}. Suitable only for short, non-near-polar distances up to a few hundred Km or Miles. Use method C{haversineTo} or C{distanceTo*} for more accurate and/or larger distances. See function L{equirectangular_} for more details, the available B{C{options}} and errors raised. @arg other: The other point (C{LatLon}). @kwarg radius: Mean earth radius (C{meter}) or C{None} for the mean radius of this point's datum ellipsoid. @kwarg options: Optional keyword arguments for function L{equirectangular}. @return: Distance (C{meter}, same units as B{C{radius}}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{equirectangular}, methods C{euclideanTo}, C{distanceTo*}, C{haversineTo} and C{vincentysTo}. ''' return self._distanceTo(equirectangular, other, radius, **options) def euclideanTo(self, other, radius=None, **options): '''Approximate the C{Euclidian} distance between this and an other point. See function L{euclidean} for the available B{C{options}}. @arg other: The other point (C{LatLon}). @kwarg radius: Mean earth radius (C{meter}) or C{None} for the mean radius of this point's datum ellipsoid. @kwarg options: Optional keyword arguments for function L{euclidean}. @return: Distance (C{meter}, same units as B{C{radius}}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{euclidean}, methods C{equirectangularTo}, C{distanceTo*}, C{haversineTo} and C{vincentysTo}. ''' return self._distanceTo(euclidean, other, radius, **options) def haversineTo(self, other, radius=None, wrap=False): '''Compute the distance between this and an other point using the U{Haversine<https://www.Movable-Type.co.UK/scripts/latlong.html>} formula. @arg other: The other point (C{LatLon}). @kwarg radius: Mean earth radius (C{meter}) or C{None} for the mean radius of this point's datum ellipsoid. @kwarg wrap: Wrap and L{unroll180} longitudes (C{bool}). @return: Distance (C{meter}, same units as B{C{radius}}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{haversine}, methods C{equirectangularTo}, C{euclideanTo}, C{distanceTo*} and C{vincentysTo}. ''' return self._distanceTo(haversine, other, radius, wrap=wrap) @property_doc_(''' the height (C{meter}).''') def height(self): '''Get the height (C{meter}). ''' return self._height @height.setter # PYCHOK setter! def height(self, height): '''Set the height. @arg height: New height (C{meter}). @raise TypeError: Invalid B{C{height}} C{type}. @raise ValueError: Invalid B{C{height}}. ''' h = scalar(height, None, name='height') self._update(h != self._height) self._height = h def isantipodeTo(self, other, eps=EPS): '''Check whether this and an other point are antipodal, on diametrically opposite sides of the earth. @arg other: The other point (C{LatLon}). @kwarg eps: Tolerance for near-equality (C{degrees}). @return: C{True} if points are antipodal within the given tolerance, C{False} otherwise. ''' return isantipode(self.lat, self.lon, other.lat, other.lon, eps=eps) def isantipode(self, other, eps=EPS): '''DEPRECATED, use method C{isantipodeTo}. ''' return self.isantipodeTo(other, eps=eps) # PYCHOK no cover @property_RO def isEllipsoidal(self): '''Check whether this point is ellipsoidal (C{bool} or C{None} if unknown). ''' return self.datum.isEllipsoidal if self._datum else None def isequalTo(self, other, eps=None): '''Compare this point with an other point. @arg other: The other point (C{LatLon}). @kwarg eps: Tolerance for equality (C{degrees}). @return: C{True} if both points are identical, I{ignoring} height, C{False} otherwise. @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Method L{isequalTo3}. @example: >>> p = LatLon(52.205, 0.119) >>> q = LatLon(52.205, 0.119) >>> e = p.isequalTo(q) # True ''' self.others(other) if eps and eps > 0: return max(map1(abs, self.lat - other.lat, self.lon - other.lon)) < eps else: return self.lat == other.lat and \ self.lon == other.lon def isequalTo3(self, other, eps=None): '''Compare this point with an other point. @arg other: The other point (C{LatLon}). @kwarg eps: Tolerance for equality (C{degrees}). @return: C{True} if both points are identical I{including} height, C{False} otherwise. @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Method L{isequalTo}. @example: >>> p = LatLon(52.205, 0.119, 42) >>> q = LatLon(52.205, 0.119) >>> e = p.isequalTo3(q) # False ''' return self.isequalTo(other, eps=eps) and self.height == other.height @property_RO def isSpherical(self): '''Check whether this point is spherical (C{bool} or C{None} if unknown). ''' return self.datum.isSpherical if self._datum else None @property_RO def lam(self): '''Get the longitude (B{C{radians}}). ''' return self.philam.lam if self._philam is None else self._philam.lam @property_doc_(''' the latitude (C{degrees90}).''') def lat(self): '''Get the latitude (C{degrees90}). ''' return self._lat @lat.setter # PYCHOK setter! def lat(self, lat): '''Set the latitude. @arg lat: New latitude (C{str[N|S]} or C{degrees}). @raise ValueError: Invalid B{C{lat}}. ''' lat = parseDMS(lat, suffix='NS', clip=90) self._update(lat != self._lat) self._lat = lat @property_doc_(''' the lat- and longitude, optionally height.''') def latlon(self): '''Get the lat- and longitude (L{LatLon2Tuple}C{(lat, lon)}). ''' if self._latlon is None: self._latlon = LatLon2Tuple(self._lat, self._lon) return self._xrenamed(self._latlon) @latlon.setter # PYCHOK setter! def latlon(self, latlonh): '''Set the lat- and longitude and optionally the height. @arg latlonh: New lat-, longitude and height (2- or 3-tuple of C{degrees} and C{meter}). @raise TypeError: Height of B{C{latlonh}} not C{scalar} or B{C{latlonh}} not C{list} or C{tuple}. @raise ValueError: Invalid B{C{latlonh}} or M{len(latlonh)}. @see: Function L{parse3llh} to parse a B{C{latlonh}} string into a 3-tuple (lat, lon, h). ''' _TypeError(list, tuple, latlonh=latlonh) if len(latlonh) == 3: h = scalar(latlonh[2], None, name='latlonh') elif len(latlonh) != 2: raise ValueError('%s invalid: %r' % ('latlonh', latlonh)) else: h = self._height lat, lon = parseDMS2(latlonh[0], latlonh[1]) self._update(lat != self._lat or lon != self._lon or h != self._height) self._lat, self._lon, self._height = lat, lon, h def latlon_(self, ndigits=0): '''DEPRECATED, use method C{latlon2}. ''' return self.latlon2(ndigits) # PYCHOK no cover def latlon2(self, ndigits=0): '''Return this point's lat- and longitude in C{degrees}, rounded. @kwarg ndigits: Number of decimal digits (C{int}). @return: A L{LatLon2Tuple}C{(lat, lon)}, both C{float} and rounded away from zero. @note: The C{round}ed values are always C{float}, also if B{C{ndigits}} is omitted. ''' r = LatLon2Tuple(round(self.lat, ndigits), round(self.lon, ndigits)) return self._xnamed(r) def latlon2round(self, ndigits=0): '''DEPRECATED, use method C{latlon2}. ''' return self.latlon2(ndigits) # PYCHOK no cover @property_RO def latlonheight(self): '''Get the lat-, longitude and height (L{LatLon3Tuple}C{(lat, lon, height)}). ''' return self.latlon.to3Tuple(self.height) @property_doc_(''' the longitude (C{degrees180}).''') def lon(self): '''Get the longitude (C{degrees180}). ''' return self._lon @lon.setter # PYCHOK setter! def lon(self, lon): '''Set the longitude. @arg lon: New longitude (C{str[E|W]} or C{degrees}). @raise ValueError: Invalid B{C{lon}}. ''' lon = parseDMS(lon, suffix='EW', clip=180) self._update(lon != self._lon) self._lon = lon @property_RO def _N_vector(self): '''(INTERNAL) Get the (C{nvectorBase._N_vector_}) ''' from pygeodesy.nvectorBase import _N_vector_ r = self._xyz or self._v3d or self.toVector() return _N_vector_(r.x, r.y, r.z, h=self.height) @property_RO def phi(self): '''Get the latitude (B{C{radians}}). ''' return self.philam.phi if self._philam is None else self._philam.phi @property_RO def philam(self): '''Get the lat- and longitude (L{PhiLam2Tuple}C{(phi, lam)}). ''' if self._philam is None: self._philam = PhiLam2Tuple(radians(self.lat), radians(self.lon)) return self._xnamed(self._philam) def philam2(self, ndigits=0): '''Return this point's lat- and longitude in C{radians}, rounded. @kwarg ndigits: Number of decimal digits (C{int}). @return: A L{PhiLam2Tuple}C{(phi, lam)}, both C{float} and rounded away from zero. @note: The C{round}ed values are always C{float}, also if B{C{ndigits}} is omitted. ''' r = PhiLam2Tuple(round(self.phi, ndigits), round(self.lam, ndigits)) return self._xnamed(r) @property_RO def philamheight(self): '''Get the lat-, longitude in C{radians} and height (L{PhiLam3Tuple}C{(phi, lam, height)}). ''' return self.philam.to3Tuple(self.height) def points(self, points, closed=True): # PYCHOK no cover '''DEPRECATED, use method C{points2}. ''' return self.points2(points, closed=closed) def points2(self, points, closed=True): '''Check a path or polygon represented by points. @arg points: The path or polygon points (C{LatLon}[]) @kwarg closed: Optionally, consider the polygon closed, ignoring any duplicate or closing final B{C{points}} (C{bool}). @return: A L{Points2Tuple}C{(number, points)}, C{int} and C{list} or C{tuple}. @raise TypeError: Some B{C{points}} are not C{LatLon}. @raise ValueError: Insufficient number of B{C{points}}. ''' return points2(points, closed=closed, base=self) def to2ab(self): # PYCHOK no cover '''DEPRECATED, use property C{philam}. @return: A L{PhiLam2Tuple}C{(phi, lam)}. ''' return self.philam def to3llh(self, height=None): # PYCHOK no cover '''DEPRECATED, use property C{latlonheight} or C{latlon.to3Tuple}C{(}B{C{height}}C{)}. @return: A L{LatLon3Tuple}C{(lat, lon, height)}. ''' return self.latlonheight if height in (None, self.height) else \ self.latlon.to3Tuple(height) def to3xyz(self): # PYCHOK no cover '''DEPRECATED, use method C{toNvector}, C{toVector}, C{toVector3d} or property C{xyz} or perhaps (geocentric) C{toEcef}. @return: A L{Vector3Tuple}C{(x, y, z)}, see property C{xyz}. ''' return self.xyz # self.toVector() def toCartesian(self, Cartesian=None, **Cartesian_kwds): '''Convert this point to cartesian (ECEF) coordinates. @kwarg Cartesian: Optional class to return the geocentric coordinates (C{Cartesian}) or C{None}. @kwarg Cartesian_kwds: Optional, additional B{C{Cartesian}} keyword arguments, ignored if B{C{Cartesian=None}}. @return: A B{C{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=0} and C{M} if available. @raise TypeError: Invalid B{C{Cartesian}} or B{C{Cartesian_kwds}}. ''' r = self.toEcef() if Cartesian is not None: # class or .classof r = Cartesian(r, **Cartesian_kwds) r = self._xnamed(r) return r def toEcef(self): '''Convert this point to geocentric coordinates, also known as I{Earth-Centered, Earth-Fixed} (U{ECEF <https://WikiPedia.org/wiki/ECEF>}). @return: An L{Ecef9Tuple}C{(x, y, z, lat, lon, height, C, M, datum)} with C{C} 0 and C{M} if available. @raise EcefError: A C{.datum} or an ECEF issue. ''' if self._e9t is None: e = self.Ecef(self.datum).forward(self, M=True) self._e9t = self._xnamed(e) return self._e9t def toNvector(self, h=None, Nvector=None, **Nvector_kwds): '''Convert this point to C{n-vector} (normal to the earth's surface) components, I{including height}. @kwarg h: Optional height, overriding this point's height (C{meter}). @kwarg Nvector: Optional class to return the C{n-vector} components (C{Nvector}) or C{None}. @kwarg Nvector_kwds: Optional, additional B{C{Nvector}} keyword arguments, ignored if B{C{Nvector=None}}. @return: A B{C{Nvector}} or an L{Vector4Tuple}C{(x, y, z, h)} if B{C{Nvector}} is C{None}. @raise TypeError: Invalid B{C{Nvector}} or B{C{Nvector_kwds}}. ''' return self.toVector(Vector=Nvector, h=self.height if h is None else h, ll=self, **Nvector_kwds) def toStr(self, form=F_DMS, prec=None, m='m', sep=', '): # PYCHOK expected '''Convert this point to a "lat, lon [+/-height]" string, formatted in the given form. @kwarg form: Optional format, F_D, F_DM, F_DMS for deg°, deg°min′, deg°min′sec″ (C{str}). @kwarg prec: Optional number of decimal digits (0..8 or C{None}). @kwarg m: Optional unit of the height (C{str}), use C{None} to exclude height from the returned string. @kwarg sep: Optional separator to join (C{str}). @return: Point in the specified form (C{str}). @example: >>> LatLon(51.4778, -0.0016).toStr() # 51°28′40″N, 000°00′06″W >>> LatLon(51.4778, -0.0016).toStr(F_D) # 51.4778°N, 000.0016°W >>> LatLon(51.4778, -0.0016, 42).toStr() # 51°28′40″N, 000°00′06″W, +42.00m ''' t = [latDMS(self.lat, form=form, prec=prec), lonDMS(self.lon, form=form, prec=prec)] if self.height and m is not None: t += ['%+.2f%s' % (self.height, m)] return sep.join(t) def toVector(self, Vector=None, **Vector_kwds): '''Convert this point to C{n-vector} (normal to the earth's surface) components, I{ignoring height}. @kwarg Vector: Optional class to return the C{n-vector} components (L{Vector3d}) or C{None}. @kwarg Vector_kwds: Optional, additional B{C{Vector}} keyword arguments, ignored if B{C{Vector=None}}. @return: A B{C{Vector}} or a L{Vector3Tuple}C{(x, y, z)} if B{C{Vector}} is C{None}. @raise TypeError: Invalid B{C{Vector}} or B{C{kwds}}. @note: These are C{n-vector} x, y and z components, I{NOT} geocentric (ECEF) x, y and z coordinates! ''' r = latlon2n_xyz(self.lat, self.lon) if Vector is not None: r = Vector(r.x, r.y, r.z, **Vector_kwds) return self._xnamed(r) def toVector3d(self): '''Convert this point to C{n-vector} (normal to the earth's surface) components, I{ignoring height}. @return: Unit vector (L{Vector3d}). @note: These are C{n-vector} x, y and z components, I{NOT} geocentric (ECEF) x, y and z coordinates! ''' if self._v3d is None: self._v3d = self.toVector(Vector=Vector3d) # XXX .unit() return self._xnamed(self._v3d) def vincentysTo(self, other, radius=None, wrap=False): '''Compute the distance between this and an other point using U{Vincenty's<https://WikiPedia.org/wiki/Great-circle_distance>} spherical formula. @arg other: The other point (C{LatLon}). @kwarg radius: Mean earth radius (C{meter}) or C{None} for the mean radius of this point's datum ellipsoid. @kwarg wrap: Wrap and L{unroll180} longitudes (C{bool}). @return: Distance (C{meter}, same units as B{C{radius}}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{vincentys}, methods C{equirectangularTo}, C{euclideanTo}, C{distanceTo*} and C{haversineTo}. ''' return self._distanceTo(vincentys, other, radius, wrap=wrap) @property_RO def xyz(self): '''Get the C{n-vector} X, Y and Z components (L{Vector3Tuple}C{(x, y, z)}) @note: These are C{n-vector} x, y and z components, I{NOT} geocentric (ECEF) x, y and z coordinates! ''' if self._xyz is None: self._xyz = self.toVector(Vector=Vector3Tuple) return self._xnamed(self._xyz) @property_RO def xyzh(self): '''Get the C{n-vector} X, Y, Z and H components (L{Vector4Tuple}C{(x, y, z, h)}) @note: These are C{n-vector} x, y and z components, I{NOT} geocentric (ECEF) x, y and z coordinates! ''' if self._xyzh is None: self._xyzh = self.xyz.to4Tuple(self.height) return self._xnamed(self._xyzh) # **) 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.