# Coverage for pygeodesy/latlonBase.py : 97%

## 261 statements 254 run 7 missing 36 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 | # -*- coding: utf-8 -*- u'''(INTERNAL) base class L{LatLonBase} for elliposiodal, spherical and n-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 isstr, map1, _xinstanceof from pygeodesy.dms import F_D, F_DMS, latDMS, lonDMS, parse3llh from pygeodesy.errors import _datum_datum, IntersectionError, _ValueError from pygeodesy.fmath import favg from pygeodesy.formy import antipode, compassAngle, cosineAndoyerLambert_, \ cosineForsytheAndoyerLambert_, cosineLaw, \ equirectangular, euclidean, flatLocal_, \ flatPolar, haversine, isantipode, \ latlon2n_xyz,points2, thomas_, vincentys from pygeodesy.interns import EPS, EPS0, EPS1, NN, R_M, _COMMASPACE_, \ _intersection_, _m_, _near_concentric_, \ _no_, _overlap_, _0_0, _0_5, _1_0 from pygeodesy.lazily import _ALL_DOCS from pygeodesy.named import _NamedBase, notOverloaded from pygeodesy.namedTuples import Bounds2Tuple, LatLon2Tuple, PhiLam2Tuple, \ Trilaterate5Tuple, Vector3Tuple from pygeodesy.props import Property, Property_RO, property_doc_, property_RO from pygeodesy.streprs import Fmt, hstr from pygeodesy.units import Distance_, Lat, Lon, Height, Radius, Radius_, Scalar_ from pygeodesy.utily import unrollPI from pygeodesy.vector3d import Vector3d from math import asin, cos, degrees, radians __all__ = () __version__ = '21.01.28' class LatLonBase(_NamedBase): '''(INTERNAL) Base class for C{LatLon} points on spherical or ellipsoidal earth models. ''' _datum = None # L{Datum}, to be overriden _height = 0 # height (C{meter}) _lat = 0 # latitude (C{degrees}) _lon = 0 # longitude (C{degrees}) def __init__(self, lat, lon, height=0, name=NN): '''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 UnitError: Invalid B{C{lat}}, B{C{lon}} or B{C{height}}. @example: >>> p = LatLon(50.06632, -5.71475) >>> q = LatLon('50°03′59″N', """005°42'53"W""") ''' if name: self.name = name self._lat = Lat(lat) # parseDMS2(lat, lon) self._lon = Lon(lon) # PYCHOK LatLon2Tuple if height: # elevation self._height = Height(height) 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 antipode(self, height=None): '''Return the antipode, the point diametrically opposite to this point. @kwarg height: Optional height of the antipode (C{meter}), this point's height otherwise. @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, tall, radius=R_M): # PYCHOK no cover '''DEPRECATED, use method C{boundsOf}.''' return self.boundsOf(wide, tall, radius=radius) def boundsOf(self, wide, tall, radius=R_M, height=None): '''Return the SW and NE 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 tall: Latitudinal box size (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}). @kwarg height: Height for C{latlonSW} and C{latlonNE} (C{meter}), overriding the point's height. @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} ''' x = Scalar_(wide=wide) * _0_5 y = Scalar_(tall=tall) * _0_5 if radius is not None: r = Radius_(radius) c = cos(self.phi) x = degrees(asin(x / r) / c) if abs(c) > EPS0 else _0_0 # XXX y = degrees(y / r) x, y = abs(x), abs(y) h = self.height if height is None else height sw = self.classof(self.lat - y, self.lon - x, height=h) ne = self.classof(self.lat + y, self.lon + x, height=h) return Bounds2Tuple(sw, ne, name=self.name) def chordTo(self, other, height=None): '''Compute the length of the chord through the earth between this and an other point. @arg other: The other point (C{LatLon}). @kwarg height: Overriding height for both points (C{meter}) or C{None} for each point's height. @return: The chord length (conventionally C{meter}). @raise TypeError: The B{C{other}} point is not C{LatLon}. ''' def _v3d(ll): t = ll.toEcef(height=height) # .toVector(Vector=Vector3d) return Vector3d(t.x, t.y, t.z) self.others(other) return _v3d(self).minus(_v3d(other)).length def compassAngle(self, other, adjust=True, wrap=False): # PYCHOK no cover '''DEPRECATED, use method C{compassAngleTo}.''' return self.compassAngleTo(other, adjust=adjust, wrap=wrap) 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) def cosineAndoyerLambertTo(self, other, wrap=False): '''Compute the distance between this and an other point using the U{Andoyer-Lambert correction<https://navlib.net/wp-content/uploads/ 2013/10/admiralty-manual-of-navigation-vol-1-1964-english501c.pdf>} of the U{Law of Cosines<https://www.Movable-Type.co.UK/scripts/latlong.html#cosine-law>} formula. @arg other: The other point (C{LatLon}). @kwarg wrap: Wrap and L{unroll180} longitudes (C{bool}). @return: Distance (C{meter}, same units as the axes of this point's datum ellipsoid). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{cosineAndoyerLambert} and methods C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo_(cosineAndoyerLambert_, other, wrap=wrap) def cosineForsytheAndoyerLambertTo(self, other, wrap=False): '''Compute the distance between this and an other point using the U{Forsythe-Andoyer-Lambert correction <https://www2.UNB.CA/gge/Pubs/TR77.pdf>} of the U{Law of Cosines <https://www.Movable-Type.co.UK/scripts/latlong.html#cosine-law>} formula. @arg other: The other point (C{LatLon}). @kwarg wrap: Wrap and L{unroll180} longitudes (C{bool}). @return: Distance (C{meter}, same units as the axes of this point's datum ellipsoid). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{cosineForsytheAndoyerLambert} and methods C{cosineAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo_(cosineForsytheAndoyerLambert_, other, wrap=wrap) def cosineLawTo(self, other, radius=None, wrap=False): '''Compute the distance between this and an other point using the U{spherical Law of Cosines <https://www.Movable-Type.co.UK/scripts/latlong.html#cosine-law>} 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{cosineLaw} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo(cosineLaw, other, radius, wrap=wrap) @property_RO def datum(self): # PYCHOK no cover '''(INTERNAL) I{Must be overloaded}. ''' notOverloaded(self, self.datum) def _distanceTo(self, func, other, radius, **options): '''(INTERNAL) Helper for methods C{<func>To}. ''' self.others(other) # up=2 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) def _distanceTo_(self, func_, other, wrap=False): '''(INTERNAL) Helper for (ellipsoidal) methods C{<func>To}. ''' self.others(other) # up=2 r, _ = unrollPI(self.lam, other.lam, wrap=wrap) r = func_(other.phi, self.phi, r, datum=self.datum) return r * self.datum.ellipsoid.a @Property_RO def Ecef(self): '''Get the ECEF I{class} (L{EcefKarney}), I{lazily}. ''' from pygeodesy.ecef import EcefKarney return EcefKarney # default @Property_RO def _ecef9(self): '''(INTERNAL) Helper for L{toCartesian} and L{toEcef}. ''' return self.Ecef(self.datum, name=self.name).forward(self, M=True) def equals(self, other, eps=None): # PYCHOK no cover '''DEPRECATED, use method L{isequalTo}.''' return self.isequalTo(other, eps=eps) def equals3(self, other, eps=None): # PYCHOK no cover '''DEPRECATED, use method L{isequalTo3}.''' return self.isequalTo3(other, eps=eps) 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} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} 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} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo(euclidean, other, radius, **options) def flatLocalTo(self, other, radius=None, wrap=False): '''Compute the distance between this and an other point using the U{ellipsoidal Earth to plane projection <https://WikiPedia.org/wiki/Geographical_distance#Ellipsoidal_Earth_projected_to_a_plane>} aka U{Hubeny<https://www.OVG.AT/de/vgi/files/pdf/3781/>} formula. @arg other: The other point (C{LatLon}). @kwarg radius: Mean earth radius (C{meter}) or C{None} for the major 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}. @raise ValueError: Invalid B{C{radius}}. @see: Function L{flatLocal}/L{hubeny}, methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatPolarTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo} and U{local, flat Earth approximation <https://www.edwilliams.org/avform.htm#flat>}. ''' E = self.datum.ellipsoid r = self._distanceTo_(flatLocal_, other, wrap=wrap) * E.a2_ a = E.a if radius in (None, 1, _1_0) else Radius(radius) return r * a hubenyTo = flatLocalTo # for Karl Hubeny def flatPolarTo(self, other, radius=None, wrap=False): '''Compute the distance between this and an other point using the U{polar coordinate flat-Earth <https://WikiPedia.org/wiki/Geographical_distance#Polar_coordinate_flat-Earth_formula>} 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{flatPolar} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{haversineTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo(flatPolar, other, radius, wrap=wrap) 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} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{thomasTo} and C{vincentysTo}. ''' return self._distanceTo(haversine, other, radius, wrap=wrap) 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) @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 = Height(height) self._update(h != self.height) self._height = h def heightStr(self, prec=-2, m=_m_): '''Return a string for the height B{C{height}}. @kwarg prec: Optional number of decimals, unstripped (C{int}). @kwarg m: Optional unit of the height (C{str}). @see: Function L{hstr}. ''' return hstr(self.height, prec=prec, m=m) def isantipode(self, other, eps=EPS): # PYCHOK no cover '''DEPRECATED, use method L{isantipodeTo}.''' return self.isantipodeTo(other, eps=eps) 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) @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, I{ignoring} height. @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} or mismatch of the B{C{other}} and this C{class} or C{type}. @raise ValueError: Invalid B{C{eps}}. @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) e = _0_0 if eps in (None, 0, _0_0) else Scalar_(eps=eps) if e > 0: return max(map1(abs, self.lat - other.lat, self.lon - other.lon)) < e else: return self.lat == other.lat and \ self.lon == other.lon def isequalTo3(self, other, eps=None): '''Compare this point with an other point, I{including} height. @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} or mismatch of the B{C{other}} and this C{class} or C{type}. @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 @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 = Lat(lat) # parseDMS(lat, suffix=_NS_, clip=90) self._update(lat != self._lat) self._lat = lat @Property def latlon(self): '''Get the lat- and longitude (L{LatLon2Tuple}C{(lat, lon)}). ''' return LatLon2Tuple(self._lat, self._lon, name=self.name) @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 or comma- or space-separated C{str} of C{degrees90}, C{degrees180} 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). ''' if isstr(latlonh): latlonh = parse3llh(latlonh, height=self.height) else: _xinstanceof(list, tuple, latlonh=latlonh) if len(latlonh) == 3: h = Height(latlonh[2], name=Fmt.SQUARE(latlonh=2)) elif len(latlonh) != 2: raise _ValueError(latlonh=latlonh) else: h = self.height lat = Lat(latlonh[0]) # parseDMS2(latlonh[0], latlonh[1]) lon = Lon(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 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. ''' return LatLon2Tuple(round(self.lat, ndigits), round(self.lon, ndigits), name=self.name) def latlon_(self, ndigits=0): # PYCHOK no cover '''DEPRECATED, use method L{latlon2}.''' return self.latlon2(ndigits=ndigits) latlon2round = latlon_ # 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 = 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_ return _N_vector_(*self.xyzh) @Property_RO def phi(self): '''Get the latitude (B{C{radians}}). ''' return self.philam.phi @Property_RO def philam(self): '''Get the lat- and longitude (L{PhiLam2Tuple}C{(phi, lam)}). ''' return PhiLam2Tuple(radians(self.lat), radians(self.lon), name=self.name) 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. ''' return PhiLam2Tuple(round(self.phi, ndigits), round(self.lam, ndigits), name=self.name) @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 L{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 PointsError: Insufficient number of B{C{points}}. @raise TypeError: Some B{C{points}} are not C{LatLon}. ''' return points2(points, closed=closed, base=self) def thomasTo(self, other, wrap=False): '''Compute the distance between this and an other point using U{Thomas'<https://apps.DTIC.mil/dtic/tr/fulltext/u2/703541.pdf>} formula. @arg other: The other point (C{LatLon}). @kwarg wrap: Wrap and L{unrollPI} longitudes (C{bool}). @return: Distance (C{meter}, same units as the axes of this point's datum ellipsoid). @raise TypeError: The B{C{other}} point is not C{LatLon}. @see: Function L{thomas} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo} and C{vincentysTo}. ''' return self._distanceTo_(thomas_, other, wrap=wrap) def to2ab(self): # PYCHOK no cover '''DEPRECATED, use property L{philam}.''' return self.philam 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._ecef9 if Cartesian is not None: # class or .classof r = self._xnamed(Cartesian(r, **Cartesian_kwds)) _datum_datum(r.datum, self.datum) return r def toEcef(self, height=None, M=False): '''Convert this point to geocentric coordinates, also known as I{Earth-Centered, Earth-Fixed} (U{ECEF <https://WikiPedia.org/wiki/ECEF>}). @kwarg height: Optional height, overriding this point's height (C{meter}). @kwarg M: Optionally, include the rotation L{EcefMatrix} (C{bool}). @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. ''' return self._ecef9 if height in (None, self.height) else \ self.Ecef(self.datum).forward(self.lat, self.lon, height=height, M=M) def to3llh(self, height=None): # PYCHOK no cover '''DEPRECATED, use property L{latlonheight} or C{latlon.to3Tuple(B{height})}.''' return self.latlonheight if height in (None, self.height) else \ self.latlon.to3Tuple(height) 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=_COMMASPACE_): # 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 += [self.heightStr(m=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 C{B{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 = self._vector3tuple if Vector is not None: r = self._xnamed(Vector(r.x, r.y, r.z, **Vector_kwds)) return 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! ''' return self._vector3d # XXX .unit() def to3xyz(self): # PYCHOK no cover '''DEPRECATED, use property L{xyz} or method L{toNvector}, L{toVector}, L{toVector3d} or perhaps (geocentric) L{toEcef}.''' return self.xyz # self.toVector() @Property_RO def _vector3d(self): '''(INTERNAL) Cache for L{toVector3d}. ''' return self.toVector(Vector=Vector3d) # XXX .unit() @Property_RO def _vector3tuple(self): '''(INTERNAL) Cache for L{toVector}. ''' return latlon2n_xyz(self.lat, self.lon, name=self.name) 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} and methods C{cosineAndoyerLambertTo}, C{cosineForsytheAndoyerLambertTo}, C{cosineLawTo}, C{distanceTo*}, C{equirectangularTo}, C{euclideanTo}, C{flatLocalTo}/C{hubenyTo}, C{flatPolarTo}, C{haversineTo} and C{thomasTo}. ''' 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! ''' return self.toVector(Vector=Vector3Tuple) @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! ''' return self.xyz.to4Tuple(self.height) def _trilaterate5(p1, d1, p2, d2, p3, d3, area=True, eps=EPS1, radius=R_M, wrap=False): # (INTERNAL) Trilaterate three points by area overlap or # by perimeter intersection of three circles (radius is # only needed for spherical C{LatLon.distanceTo} method) r1 = Distance_(distance1=d1) r2 = Distance_(distance2=d2) r3 = Distance_(distance3=d3) m = 0 if area else (r1 + r2 + r3) pc = 0 t = [] for _ in range(3): try: # intersection of circle (p1, r1) and (p2, r2) c1, c2 = p1.intersections2(r1, p2, r2, wrap=wrap) if area: # check overlap if c1 is c2: # abutting c = c1 else: # nearest point on radical c = p3.nearestOn(c1, c2, within=True, wrap=wrap) d = r3 - p3.distanceTo(c, radius=radius, wrap=wrap) if d > eps: # sufficient overlap t.append((d, c)) m = max(m, d) else: # check intersection for c in ((c1,) if c1 is c2 else (c1, c2)): d = abs(r3 - p3.distanceTo(c, radius=radius, wrap=wrap)) if d < eps: # below margin t.append((d, c)) m = min(m, d) except IntersectionError as x: if _near_concentric_ in str(x): # XXX ConcentricError? pc += 1 p1, r1, p2, r2, p3, r3 = p2, r2, p3, r3, p1, r1 # rotate if t: # get min, max, points and count ... t = tuple(sorted(t)) n = len(t), # as tuple # ... or for a single trilaterated result, # min *is* max, min- *is* maxPoint and n=1 return Trilaterate5Tuple(*(t[0] + t[-1] + n)) elif area and pc == 3: # all pairwise concentric ... r, p = min((r1, p1), (r2, p2), (r3, p3)) # ... return "smallest" point twice, the smallest # and largest distance and n=0 for concentric return Trilaterate5Tuple(float(r), p, float(max(r1, r2, r3)), p, 0) f = max if area else min t = _overlap_ if area else _intersection_ t = '%s (%s %.3f)' % (_no_(t), f.__name__, m) raise IntersectionError(area=area, eps=eps, wrap=wrap, txt=t) __all__ += _ALL_DOCS(LatLonBase) # **) MIT License # # Copyright (C) 2016-2021 -- 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.