# Coverage for pygeodesy/ellipsoidalBase.py : 97%

## 288 statements 280 run 8 missing 37 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 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 | # -*- coding: utf-8 -*- u'''(INTERNAL) Ellipsoidal geodesy base classes C{CartesianEllipsoidalBase} and C{LatLonEllipsoidalBase}. Pure Python implementation of geodesy tools for ellipsoidal earth models, transcoded 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>}. ''' # make sure int/int division yields float quotient, see .basics from __future__ import division from pygeodesy.basics import _xinstanceof from pygeodesy.cartesianBase import CartesianBase from pygeodesy.datums import Datum, Datums, _ellipsoidal_datum, _WGS84 from pygeodesy.errors import _incompatible, _IsnotError, RangeError, TRFError, \ _ValueError, _xellipsoidal, _xError, _xkwds_not # from pygeodesy.errors import _xkwds # from .named from pygeodesy.interns import _ellipsoidal_ # PYCHOK used! from pygeodesy.interns import EPS, EPS0, EPS1, MISSING, NN, _COMMA_, \ _conversion_, _datum_, _DOT_, _N_, _no_, \ _reframe_, _SPACE_, _0_0 from pygeodesy.latlonBase import LatLonBase, _trilaterate5 from pygeodesy.lazily import _ALL_DOCS from pygeodesy.named import _xnamed, _xkwds from pygeodesy.namedTuples import Vector3Tuple from pygeodesy.props import deprecated_method, Property_RO, \ property_doc_, property_RO from pygeodesy.units import Epoch, _1mm as _TOL_M, Radius_ __all__ = () __version__ = '21.10.05' class CartesianEllipsoidalBase(CartesianBase): '''(INTERNAL) Base class for ellipsoidal C{Cartesian}s. ''' _datum = _WGS84 # L{Datum} def _applyHelmerts(self, *transforms): '''(INTERNAL) Apply one I{or more} Helmert transforms. ''' xyz = self.xyz for t in transforms: xyz = t.transform(*xyz) return self.classof(xyz, datum=self.datum) @deprecated_method def convertRefFrame(self, reframe2, reframe, epoch=None): '''DEPRECATED, use method L{toRefFrame}.''' return self.toRefFrame(reframe2, reframe, epoch=epoch) def intersections2(self, radius, center2, radius2, sphere=True, Vector=None, **Vector_kwds): '''Compute the intersection of two spheres or circles, each defined by a cartesian center point and a radius. @arg radius: Radius of this sphere or circle (same units as this point's coordinates). @arg center2: Center of the second sphere or circle (C{Cartesian}, L{Vector3d}, C{Vector3Tuple} or C{Vector4Tuple}). @arg radius2: Radius of the second sphere or circle (same units as this and the B{C{other}} point's coordinates). @kwarg sphere: If C{True} compute the center and radius of the intersection of two I{spheres}. If C{False}, ignore the C{z}-component and compute the intersection of two I{circles} (C{bool}). @kwarg Vector: Class to return intersections (C{Cartesian}, L{Vector3d} or C{Vector3Tuple}) or C{None} for an instance of this (sub-)class. @kwarg Vector_kwds: Optional, additional B{C{Vector}} keyword arguments, ignored if C{B{Vector} is None}. @return: If B{C{sphere}} is C{True}, a 2-tuple of the C{center} and C{radius} of the intersection of the I{spheres}. The C{radius} is C{0.0} for abutting spheres (and the C{center} is aka I{radical center}). If B{C{sphere}} is C{False}, a 2-tuple with the two intersection points of the I{circles}. For abutting circles, both points are the same instance, aka I{radical center}. @raise IntersectionError: Concentric, invalid or non-intersecting spheres or circles. @raise TypeError: Invalid B{C{center2}}. @raise UnitError: Invalid B{C{radius}} or B{C{radius2}}. @see: U{Sphere-Sphere<https://MathWorld.Wolfram.com/Sphere-SphereIntersection.html>}, U{Circle-Circle<https://MathWorld.Wolfram.com/Circle-CircleIntersection.html>} Intersection and function L{pygeodesy.radical2}. ''' from pygeodesy.vector3d import _intersects2, _otherV3d try: return _intersects2(_otherV3d(useZ=sphere, center=self), Radius_(radius=radius), center2, Radius_(radius2=radius2), sphere=sphere, clas=self.classof, Vector=Vector, **Vector_kwds) except (TypeError, ValueError) as x: raise _xError(x, center=self, radius=radius, center2=center2, radius2=radius2) def toRefFrame(self, reframe2, reframe, epoch=None): '''Convert this cartesian point from one to an other reference frame. @arg reframe2: Reference frame to convert I{to} (L{RefFrame}). @arg reframe: Reference frame to convert I{from} (L{RefFrame}). @kwarg epoch: Optional epoch to observe (C{scalar}, fractional calendar year), overriding B{C{reframe}}'s epoch. @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}} or invalid B{C{epoch}}. @raise TypeError: B{C{reframe2}} or B{C{reframe}} not a L{RefFrame}. ''' from pygeodesy.trf import RefFrame, _reframeTransforms2 _xinstanceof(RefFrame, reframe2=reframe2, reframe=reframe) _, xs = _reframeTransforms2(reframe2, reframe, epoch) return self._applyHelmerts(*xs) if xs else self class LatLonEllipsoidalBase(LatLonBase): '''(INTERNAL) Base class for ellipsoidal C{LatLon}s. ''' _convergence = None # UTM/UPS meridian convergence (C{degrees}) _datum = _WGS84 # L{Datum} _elevation2to = None # _elevation2 timeout (C{secs}) _epoch = None # overriding .reframe.epoch (C{float}) _geoidHeight2to = None # _geoidHeight2 timeout (C{secs}) _iteration = None # iteration number (C{int} or C{None}) _reframe = None # reference frame (L{RefFrame}) _scale = None # UTM/UPS scale factor (C{float}) def __init__(self, lat, lon, height=0, datum=None, reframe=None, epoch=None, name=NN): '''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. @arg lat: Latitude (C{degrees} or DMS C{[N|S]}). @arg lon: Longitude (C{degrees} or DMS C{str[E|W]}). @kwarg height: Optional elevation (C{meter}, the same units as the datum's half-axes). @kwarg datum: Optional, ellipsoidal datum to use (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). @kwarg reframe: Optional reference frame (L{RefFrame}). @kwarg epoch: Optional epoch to observe for B{C{reframe}} (C{scalar}), a non-zero, fractional calendar year; silently ignored if C{B{reframe} is None}. @kwarg name: Optional name (string). @raise RangeError: Value of B{C{lat}} or B{C{lon}} outside the valid range and C{rangerrors} set to C{True}. @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. @raise UnitError: Invalid B{C{lat}}, B{C{lon}} or B{C{height}}. @example: >>> p = LatLon(51.4778, -0.0016) # height=0, datum=Datums.WGS84 ''' LatLonBase.__init__(self, lat, lon, height=height, name=name) if datum not in (None, self._datum): self.datum = _ellipsoidal_datum(datum, name=name) if reframe: self.reframe = reframe self.epoch = epoch 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}). ''' 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 available or not converted from L{Utm} or L{Ups}. ''' return self._convergence @deprecated_method def convertDatum(self, datum2): '''DEPRECATED, use method L{toDatum}.''' return self.toDatum(datum2) @deprecated_method def convertRefFrame(self, reframe2): '''DEPRECATED, use method L{toRefFrame}.''' return self.toRefFrame(reframe2) @Property_RO def _css(self): '''(INTERNAL) Get this C{LatLon} point as a Cassini-Soldner location (L{Css}). ''' from pygeodesy.css import Css, toCss return toCss(self, height=self.height, Css=Css, name=self.name) @property_doc_(''' this points's datum (L{Datum}).''') 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}. @arg datum: New datum (L{Datum}). @raise TypeError: The B{C{datum}} is not a L{Datum} or not ellipsoidal. ''' _xinstanceof(Datum, datum=datum) if not datum.isEllipsoidal: raise _IsnotError(_ellipsoidal_, datum=datum) self._update(datum != self._datum) self._datum = datum def distanceTo2(self, other): '''I{Approximate} the distance and (initial) bearing between this and an other (ellipsoidal) point based on the radii of curvature. I{Suitable only for short distances up to a few hundred Km or Miles and only between points not near-polar}. @arg 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>} aka U{Hubeny<https://www.OVG.AT/de/vgi/files/pdf/3781/>} formula. ''' return self.ellipsoids(other).distance2(self.lat, self.lon, other.lat, other.lon) @Property_RO def _elevation2(self): '''(INTERNAL) Get elevation and data source. ''' from pygeodesy.elevations import elevation2 return elevation2(self.lat, self.lon, timeout=self._elevation2to) def elevation2(self, adjust=True, datum=_WGS84, timeout=2): '''Return elevation of this point for its or the given datum. @kwarg adjust: Adjust the elevation for a B{C{datum}} other than C{NAD83} (C{bool}). @kwarg datum: Optional datum (L{Datum}). @kwarg timeout: Optional query timeout (C{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 between the B{C{datum}} and C{NAV83} upon which the 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 self._elevation2to != timeout: self._elevation2to = timeout LatLonEllipsoidalBase._elevation2._update(self) return self._Radjust2(adjust, datum, self._elevation2) def ellipsoid(self, datum=_WGS84): '''Return the ellipsoid of this point's datum or the given datum. @kwarg datum: Default datum (L{Datum}). @return: The ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). ''' return getattr(self, _datum_, datum).ellipsoid def ellipsoids(self, other): '''Check the type and ellipsoid of this and an other point's datum. @arg other: The other point (C{LatLon}). @return: This point's datum ellipsoid (L{Ellipsoid} or L{Ellipsoid2}). @raise TypeError: The B{C{other}} point is not C{LatLon}. @raise ValueError: Incompatible datum ellipsoids. ''' self.others(other, up=2) # ellipsoids' caller 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: raise _ValueError(e.named2, txt=_incompatible(E.named2)) return E @property_doc_(''' this point's observed or C{reframe} epoch (C{float}).''') def epoch(self): '''Get this point's observed or C{reframe} 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. @arg epoch: Observed epoch, a fractional calendar year (L{Epoch}, C{scalar}) or C{None}. @raise TRFError: Invalid B{C{epoch}}. ''' self._epoch = None if epoch is None else Epoch(epoch) @Property_RO def Equidistant(self): '''Get the prefered azimuthal equidistant projection I{class} (L{EquidistantKarney} or L{EquidistantExact}). ''' from pygeodesy.azimuthal import EquidistantKarney, EquidistantExact try: _ = self.datum.ellipsoid.geodesic return EquidistantKarney except ImportError: # no geographiclib return EquidistantExact # XXX no longer L{azimuthal.Equidistant} @Property_RO def _etm(self): '''(INTERNAL) Get this C{LatLon} point as an ETM coordinate (L{pygeodesy.toEtm8}). ''' from pygeodesy.etm import toEtm8, Etm return toEtm8(self, datum=self.datum, Etm=Etm) @Property_RO def _geoidHeight2(self): '''(INTERNAL) Get geoid height and model. ''' from pygeodesy.elevations import geoidHeight2 return geoidHeight2(self.lat, self.lon, model=0, timeout=self._geoidHeight2to) def geoidHeight2(self, adjust=False, datum=_WGS84, timeout=2): '''Return geoid height of this point for its or the given datum. @kwarg adjust: Adjust the geoid height for a B{C{datum}} other than C{NAD83/NADV88} (C{bool}). @kwarg datum: Optional datum (L{Datum}). @kwarg timeout: Optional query timeout (C{seconds}). @return: A 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 between the B{C{datum}} and C{NAV83/NADV88} upon which the L{elevations.geoidHeight2} is based. @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 self._geoidHeight2to != timeout: self._geoidHeight2to = timeout LatLonEllipsoidalBase._geoidHeight2._update(self) return self._Radjust2(adjust, datum, self._geoidHeight2) def intersection3(self, end1, other, end2, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Interatively compute the intersection point of two paths, each defined by two points or a start point and bearing from North. @arg end1: End point of this path (C{LatLon}) or the initial bearing at this point (compass C{degrees360}). @arg other: Start point of the other path (C{LatLon}). @arg end2: End point of the other path (C{LatLon}) or the initial bearing at the other point (compass C{degrees360}). @kwarg height: Optional height at the intersection (C{meter}, conventionally) or C{None} for the mean height. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Tolerance for skew line distance and length and for convergence (C{meter}, conventionally). @return: An L{Intersection3Tuple}C{(point, outside1, outside2)} with C{point} a C{LatLon} instance. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise IntersectionError: Skew, colinear, parallel or otherwise non-intersecting paths or no convergence for the given B{C{tol}}. @raise TypeError: If B{C{end1}}, B{C{other}} or B{C{end2}} point is not C{LatLon}. @note: For each path specified with an initial bearing, a pseudo-end point is computed as the C{destination} along that bearing at about 1.5 times the distance from the start point to an initial gu-/estimate of the intersection point (and between 1/8 and 3/8 of the authalic earth perimeter). @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>} and U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES} for more details about the iteration algorithm. ''' from pygeodesy.ellipsoidalBaseDI import _intersect3 try: s2 = self.others(other) return _intersect3(self, end1, s2, end2, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof, datum=self.datum) except (TypeError, ValueError) as x: raise _xError(x, start1=self, end1=end1, other=other, end2=end2, height=height, wrap=wrap, tol=tol) def intersections2(self, radius1, other, radius2, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Interatively compute the intersection points of two circles, each defined by a center point and a radius. @arg radius1: Radius of this circle (C{meter}, conventionally). @arg other: Center of the other circle (C{LatLon}). @arg radius2: Radius of the other circle (C{meter}, same units as B{C{radius1}}). @kwarg height: Optional height for the intersection points (C{meter}, conventionally) or C{None} for the I{"radical height"} at the I{radical line} between both centers. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Convergence tolerance (C{meter}, same units as B{C{radius1}} and B{C{radius2}}). @return: 2-Tuple of the intersection points, each a C{LatLon} instance. For abutting circles, both intersection points are the same instance, aka I{radical center}. @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise IntersectionError: Concentric, antipodal, invalid or non-intersecting circles or no convergence for the given B{C{tol}}. @raise TypeError: Invalid B{C{other}} or B{C{equidistant}}. @raise UnitError: Invalid B{C{radius1}}, B{C{radius2}} or B{C{height}}. @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>}, U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES}, U{circle-circle<https://MathWorld.Wolfram.com/Circle-CircleIntersection.html>} and U{sphere-sphere<https://MathWorld.Wolfram.com/Sphere-SphereIntersection.html>} intersections. ''' from pygeodesy.ellipsoidalBaseDI import _intersections2 try: c2 = self.others(other) return _intersections2(self, radius1, c2, radius2, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof, datum=self.datum) except (AssertionError, TypeError, ValueError) as x: raise _xError(x, center=self, radius1=radius1, other=other, radius2=radius2, height=height, wrap=wrap, tol=tol) @property_RO def iteration(self): '''Get the most recent C{intersections2} or C{nearestOn} iteration number (C{int}) or C{None} if not available/applicable. ''' return self._iteration @Property_RO def _lcc(self): '''(INTERNAL) Get this C{LatLon} point as a Lambert location (L{Lcc}). ''' from pygeodesy.lcc import Lcc, toLcc return toLcc(self, height=self.height, Lcc=Lcc, name=self.name) def nearestOn(self, point1, point2, within=True, height=None, wrap=True, equidistant=None, tol=_TOL_M): '''Interatively locate the closest point on the geodesic between two other (ellipsoidal) points. @arg point1: Start point (C{LatLon}). @arg point2: End point (C{LatLon}). @kwarg within: If C{True} return the closest point I{between} B{C{point1}} and B{C{point2}}, otherwise the closest point elsewhere on the arc (C{bool}). @kwarg height: Optional height for the closest point (C{meter}, conventionally) or C{None} or C{False} for the interpolated height. If C{False}, the closest takes the heights of the points into account. @kwarg wrap: Wrap and unroll longitudes (C{bool}). @kwarg equidistant: An azimuthal equidistant projection (I{class} or function L{pygeodesy.equidistant}), or C{None} for this point's preferred C{.Equidistant}. @kwarg tol: Convergence tolerance (C{meter}, conventionally). @return: Closest point (C{LatLon}). @raise ImportError: Package U{geographiclib <https://PyPI.org/project/geographiclib>} not installed or not found, but only if C{B{equidistant}=}L{EquidistantKarney}. @raise TypeError: Invalid B{C{point1}}, B{C{point2}} or B{C{equidistant}}. @raise ValueError: Datum or ellipsoid of B{C{point1}} or B{C{point2}} is incompatible or no convergence for the given B{C{tol}}. @see: U{The B{ellipsoidal} case<https://GIS.StackExchange.com/questions/48937/ calculating-intersection-of-two-circles>} and U{Karney's paper <https://ArXiv.org/pdf/1102.1215.pdf>}, pp 20-21, section B{14. MARITIME BOUNDARIES} for more details about the iteration algorithm. ''' from pygeodesy.ellipsoidalBaseDI import _nearestOn2 try: return _nearestOn2(self, point1, point2, within=within, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=self.classof).closest except (TypeError, ValueError) as x: raise _xError(x, point=self, point1=point1, point2=point2, within=within, height=height, wrap=wrap, tol=tol) @Property_RO def _osgr(self): '''(INTERNAL) Get this C{LatLon} point to an OSGR coordinate (L{Osgr}). ''' from pygeodesy.osgr import Osgr, toOsgr return toOsgr(self, datum=self.datum, Osgr=Osgr, name=self.name) def parse(self, strllh, height=0, datum=None, epoch=None, reframe=None, sep=_COMMA_, name=NN): '''Parse a string representing a similar, ellipsoidal C{LatLon} point, consisting of C{"lat, lon[, height]"}. @arg strllh: Lat, lon and optional height (C{str}), see function L{pygeodesy.parse3llh}. @kwarg height: Optional, default height (C{meter} or C{None}). @kwarg datum: Optional datum (L{Datum}), overriding this datum I{without conversion}. @kwarg epoch: Optional datum (L{Epoch}), overriding this epoch I{without conversion}. @kwarg reframe: Optional datum (L{RefFrame}), overriding this reframe I{without conversion}. @kwarg sep: Optional separator (C{str}). @kwarg name: Optional instance name (C{str}), overriding this name. @return: The similar point (ellipsoidal C{LatLon}). @raise ParseError: Invalid B{C{strllh}}. ''' from pygeodesy.dms import parse3llh a, b, h = parse3llh(strllh, height=height, sep=sep) r = self.classof(a, b, height=h, datum=self.datum) if datum not in (None, self.datum): r.datum = datum if epoch not in (None, self.epoch): r.epoch = epoch if reframe not in (None, self.reframe): r.reframe = reframe if name: r = _xnamed(r, name, force=True) return r 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) and abs(m) > EPS: n = Datums.NAD83.ellipsoid.rocGauss(self.lat) if n > EPS0: # use ratio, datum and NAD83 units may differ e = self.ellipsoid(datum).rocGauss(self.lat) if e > EPS0 and abs(e - n) > EPS: # EPS1 m *= e / n meter_text2 = meter_text2.classof(m, t) return self._xnamed(meter_text2) @property_doc_(''' this point's reference frame (L{RefFrame}).''') 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. @arg reframe: Reference frame (L{RefFrame}) or C{None}. @raise TypeError: The B{C{reframe}} is not a L{RefFrame}. ''' if reframe is not None: from pygeodesy.trf import RefFrame _xinstanceof(RefFrame, reframe=reframe) self._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 toCss(self, **toCss_kwds): '''Convert this C{LatLon} point to a Cassini-Soldner location. @kwarg toCss_kwds: Optional L{pygeodesy.toCss} keyword arguments. @return: The Cassini-Soldner location (L{Css}). @see: Function L{pygeodesy.toCss}. ''' if toCss_kwds: from pygeodesy.css import toCss r = toCss(self, **_xkwds(toCss_kwds, name=self.name)) else: r = self._css return r def toDatum(self, datum2, height=None, name=NN): '''Convert this point to an other datum. @arg datum2: Datum to convert I{to} (L{Datum}). @kwarg height: Optional height, overriding the converted height (C{meter}). @kwarg name: Optional name (C{str}), iff converted. @return: The converted point (ellipsoidal C{LatLon}) or a copy of this point if B{C{datum2}} matches this point's C{datum}. @raise TypeError: Invalid B{C{datum2}}. @example: >>> p = LatLon(51.4778, -0.0016) # default Datums.WGS84 >>> p.toDatum(Datums.OSGB36) # 51.477284°N, 000.00002°E ''' n = name or self.name d2 = _ellipsoidal_datum(datum2, name=n) if self.datum == d2: r = self.copy(name=name) else: kwds = _xkwds_not(None, LatLon=self.classof, name=n, epoch=self.epoch, reframe=self.reframe) c = self.toCartesian().toDatum(d2) r = c.toLatLon(datum=d2, height=height, **kwds) return r def toEtm(self, **toEtm8_kwds): '''Convert this C{LatLon} point to an ETM coordinate. @kwarg toEtm8_kwds: Optional L{pygeodesy.toEtm8} keyword arguments. @return: The ETM coordinate (L{Etm}). @see: Function L{pygeodesy.toEtm8}. ''' if toEtm8_kwds: from pygeodesy.etm import toEtm8 r = toEtm8(self, **_xkwds(toEtm8_kwds, name=self.name)) else: r = self._etm return r def toLcc(self, **toLcc_kwds): '''Convert this C{LatLon} point to a Lambert location. @kwarg toLcc_kwds: Optional L{pygeodesy.toLcc} keyword arguments. @return: The Lambert location (L{Lcc}). @see: Function L{pygeodesy.toLcc}. ''' if toLcc_kwds: from pygeodesy.lcc import toLcc r = toLcc(self, **_xkwds(toLcc_kwds, name=self.name)) else: r = self._lcc return r def toMgrs(self, center=False): '''Convert this C{LatLon} point to an MGRS coordinate. @kwarg center: If C{True}, try to I{un}-center MGRS to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @return: The MGRS coordinate (L{Mgrs}). @see: Method L{toUtm} and L{Mgrs.toLatLon}. ''' return self.toUtm(center=center).toMgrs(center=False) def toOsgr(self, **toOsgr_kwds): '''Convert this C{LatLon} point to an OSGR coordinate. @kwarg toOsgr_kwds: Optional L{pygeodesy.toOsgr} keyword arguments. @return: The OSGR coordinate (L{Osgr}). @see: Function L{pygeodesy.toOsgr}. ''' if toOsgr_kwds: from pygeodesy.osgr import toOsgr r = toOsgr(self, **_xkwds(toOsgr_kwds, name=self.name)) else: r = self._osgr return r def toRefFrame(self, reframe2, height=None, name=NN): '''Convert this point to an other reference frame. @arg reframe2: Reference frame to convert I{to} (L{RefFrame}). @kwarg height: Optional height, overriding the converted height (C{meter}). @kwarg name: Optional name (C{str}), iff converted. @return: The converted point (ellipsoidal C{LatLon}) or this point if conversion is C{nil}, or a copy of this point if the B{C{name}} is non-empty. @raise TRFError: This point's C{reframe} is not defined or conversion from this point's C{reframe} to B{C{reframe2}} is not available. @raise TypeError: Invalid B{C{reframe2}}, not a L{RefFrame}. @example: >>> p = LatLon(51.4778, -0.0016, reframe=RefFrames.ETRF2000) # default Datums.WGS84 >>> p.toRefFrame(RefFrames.ITRF2014) # 51.477803°N, 000.001597°W, +0.01m >>> p.toRefFrame(RefFrames.ITRF2014, height=0) # 51.477803°N, 000.001597°W ''' if not self.reframe: t = _SPACE_(_DOT_(repr(self), _reframe_), MISSING) raise TRFError(_no_(_conversion_), txt=t) from pygeodesy.trf import RefFrame, _reframeTransforms2 _xinstanceof(RefFrame, reframe2=reframe2) e, xs = _reframeTransforms2(reframe2, self.reframe, self.epoch) if xs: c = self.toCartesian()._applyHelmerts(*xs) n = name or self.name ll = c.toLatLon(datum=self.datum, epoch=e, height=height, LatLon=self.classof, name=n, reframe=reframe2) else: ll = self.copy(name=name) if name else self return ll def toUps(self, pole=_N_, falsed=True): '''Convert this C{LatLon} point to a UPS coordinate. @kwarg pole: Optional top/center of (stereographic) projection (C{str}, 'N[orth]' or 'S[outh]'). @kwarg falsed: False easting and northing (C{bool}). @return: The UPS coordinate (L{Ups}). @see: Function L{pygeodesy.toUps8}. ''' if self._upsOK(pole, falsed): u = self._ups else: from pygeodesy.ups import toUps8, Ups u = toUps8(self, datum=self.datum, Ups=Ups, pole=pole, falsed=falsed) return u def toUtm(self, center=False): '''Convert this C{LatLon} point to a UTM coordinate. @kwarg center: If C{True}, I{un}-center the UTM to its C{lowerleft} (C{bool}) or by C{B{center} meter} (C{scalar}). @return: The UTM coordinate (L{Utm}). @see: Method L{Mgrs.toUtm} and function L{pygeodesy.toUtm8}. ''' if center in (False, 0, _0_0): u = self._utm elif center in (True,): u = self._utm._lowerleft else: from pygeodesy.utm import _lowerleft u = _lowerleft(self._utm, center) return u def toUtmUps(self, pole=NN): '''Convert this C{LatLon} point to a UTM or UPS coordinate. @kwarg 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{pygeodesy.toUtmUps8}. ''' if self._utmOK(): u = self._utm elif self._upsOK(pole): u = self._ups else: # no cover from pygeodesy.utmups import toUtmUps8, Utm, Ups u = toUtmUps8(self, datum=self.datum, Utm=Utm, Ups=Ups, pole=pole, name=self.name) if isinstance(u, Utm): self._overwrite(_utm=u) elif isinstance(u, Ups): self._overwrite(_ups=u) else: _xinstanceof(Utm, Ups, toUtmUps8=u) return u def toWm(self, **toWm_kwds): '''Convert this C{LatLon} point to a WM coordinate. @kwarg toWm_kwds: Optional L{pygeodesy.toWm} keyword arguments. @return: The WM coordinate (L{Wm}). @see: Function L{pygeodesy.toWm}. ''' if toWm_kwds: from pygeodesy.webmercator import toWm r = toWm(self, **_xkwds(toWm_kwds, name=self.name)) else: r = self._wm return r @deprecated_method def to3xyz(self): # PYCHOK no cover '''DEPRECATED, use method C{toEcef}. @return: A L{Vector3Tuple}C{(x, y, z)}. @note: Overloads C{LatLonBase.to3xyz} ''' r = self.toEcef() return Vector3Tuple(r.x, r.y, r.z, name=self.name) def trilaterate5(self, distance1, point2, distance2, point3, distance3, area=True, eps=EPS1, wrap=False): '''Trilaterate three points by area overlap or perimeter intersection of three intersecting circles. @arg distance1: Distance to this point (C{meter}), same units as B{C{eps}}). @arg point2: Second center point (C{LatLon}). @arg distance2: Distance to point2 (C{meter}, same units as B{C{eps}}). @arg point3: Third center point (C{LatLon}). @arg distance3: Distance to point3 (C{meter}, same units as B{C{eps}}). @kwarg area: If C{True} compute the area overlap, otherwise the perimeter intersection of the circles (C{bool}). @kwarg eps: The required I{minimal overlap} for C{B{area}=True} or the I{intersection margin} for C{B{area}=False} (C{meter}, conventionally). @kwarg wrap: Wrap/unroll angular distances (C{bool}). @return: A L{Trilaterate5Tuple}C{(min, minPoint, max, maxPoint, n)} with C{min} and C{max} in C{meter}, same units as B{C{eps}}, the corresponding trilaterated points C{minPoint} and C{maxPoint} as I{ellipsoidal} C{LatLon} and C{n}, the number of trilatered points found for the given B{C{eps}}. If only a single trilaterated point is found, C{min I{is} max}, C{minPoint I{is} maxPoint} and C{n = 1}. For C{B{area}=True}, C{min} and C{max} are the smallest respectively largest I{radial} overlap found. For C{B{area}=False}, C{min} and C{max} represent the nearest respectively farthest intersection margin. If C{B{area}=True} and all 3 circles are concentric, C{n=0} and C{minPoint} and C{maxPoint} are the B{C{point#}} with the smallest B{C{distance#}} C{min} respectively C{max} the largest B{C{distance#}}. @raise IntersectionError: Trilateration failed for the given B{C{eps}}, insufficient overlap for C{B{area}=True} or no intersection or all (near-)concentric for C{B{area}=False}. @raise TypeError: Invalid B{C{point2}} or B{C{point3}}. @raise ValueError: Coincident B{C{points}} or invalid B{C{distance1}}, B{C{distance2}} or B{C{distance3}}. @note: Ellipsoidal trilateration invokes methods C{LatLon.intersections2} and C{LatLon.nearestOn} based on I{Karney}'s Python U{geographiclib <https://PyPI.org/project/geographiclib>} if installed, otherwise using the accurate (but slower) C{ellipsoidalExact.LatLon} methods. ''' return _trilaterate5(self, distance1, self.others(point2=point2), distance2, self.others(point3=point3), distance3, area=area, eps=eps, wrap=wrap) @Property_RO def _ups(self): # __dict__ value overwritten by method C{toUtmUps} '''(INTERNAL) Get this C{LatLon} point as UPS coordinate (L{Ups}), see L{pygeodesy.toUps8}. ''' from pygeodesy.ups import toUps8, Ups return toUps8(self, datum=self.datum, Ups=Ups, pole=NN, falsed=True, name=self.name) def _upsOK(self, pole=NN, falsed=True): '''(INTERNAL) Check matching C{Ups}. ''' try: u = self._ups except RangeError: return False return falsed and (u.pole == pole[:1].upper() or not pole) @Property_RO def _utm(self): # __dict__ value overwritten by method C{toUtmUps} '''(INTERNAL) Get this C{LatLon} point as UTM coordinate (L{Utm}), see L{pygeodesy.toUtm8}. ''' from pygeodesy.utm import toUtm8, Utm return toUtm8(self, datum=self.datum, Utm=Utm, name=self.name) def _utmOK(self): '''(INTERNAL) Check C{Utm}. ''' try: _ = self._utm except RangeError: return False return True @Property_RO def _wm(self): '''(INTERNAL) Get this C{LatLon} point as webmercator (L{Wm}). ''' from pygeodesy.webmercator import toWm return toWm(self) def _nearestOn(point, point1, point2, within=True, height=None, wrap=True, equidistant=None, tol=_TOL_M, LatLon=None, **LatLon_kwds): '''(INTERNAL) Get closest point, imported by .ellipsoidalExact, -GeodSolve, -Karney and -Vincenty to embellish exceptions. ''' from pygeodesy.ellipsoidalBaseDI import _nearestOn2 try: p = _xellipsoidal(point=point) return _nearestOn2(p, point1, point2, within=within, height=height, wrap=wrap, equidistant=equidistant, tol=tol, LatLon=LatLon, **LatLon_kwds).closest except (TypeError, ValueError) as x: raise _xError(x, point=point, point1=point1, point2=point2) __all__ += _ALL_DOCS(CartesianEllipsoidalBase, LatLonEllipsoidalBase) # **) 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.