# Coverage for pygeodesy/geodsolve.py : 92%

## 253 statements 233 run 20 missing 40 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 | # -*- coding: utf-8 -*- u'''Wrapper to invoke I{Karney}'s U{GeodSolve <https://GeographicLib.SourceForge.io/html/GeodSolve.1.htmlb>} utility as an (exact) geodesic, but intended I{for testing purposes only}. Set env variable C{PYGEODESY_GEODSOLVE} to the (fully qualified) path of the C{GeodSolve} executable. ''' from pygeodesy.basics import map2, _xinstanceof from pygeodesy.datums import _ellipsoidal_datum from pygeodesy.ellipsoids import Ellipsoids, Ellipsoid2 from pygeodesy.geodesicx.gxbases import _all_caps, Caps, _GeodesicBase from pygeodesy.interns import DIG, NN, _0_, _COMMASPACE_, _SPACE_ from pygeodesy.interns import _not_ # PYCHOK used! from pygeodesy.karney import GDict, GeodesicError, GeodSolve12Tuple from pygeodesy.lazily import _ALL_DOCS, _ALL_LAZY, printf, _sys_version_info2 from pygeodesy.lazily import _getenv # PYCHOK used! from pygeodesy.named import callername from pygeodesy.namedTuples import Destination3Tuple, Distance3Tuple from pygeodesy.props import Property, Property_RO, property_RO from pygeodesy.streprs import Fmt, fstr, fstrzs, pairs, strs from pygeodesy.units import Precision_ from pygeodesy.utily import sincos2d, unroll180, wrap360 from subprocess import PIPE as _PIPE, Popen as _Popen, STDOUT as _STDOUT __all__ = _ALL_LAZY.geodsolve __version__ = '21.08.14' _PYGEODESY_GEODSOLVE_ = 'PYGEODESY_GEODSOLVE' # PYCHOK used! _len_N = len(GeodSolve12Tuple._Names_) _SLASH_ = '/' _stdin_ = 'stdin' def _cmd_stdin_(cmd, stdin): # PYCHOK no cover '''(INTERNAL) Cmd line, stdin and caller as sC{str}. ''' c = Fmt.PAREN(callername(up=3)) t = (c,) if stdin is None else (_SLASH_, str(stdin), c) return _SPACE_.join(cmd + t) class _GeodesicSolveBase(_GeodesicBase): '''(NTERNAL) Base class for L{GeodesicSolve} and L{GeodesicLineSolve}. ''' _E = Ellipsoids.WGS84 _Exact = True _GeodSolve = _getenv(_PYGEODESY_GEODSOLVE_, _PYGEODESY_GEODSOLVE_) _invokation = 0 _prec = Precision_(prec=DIG) _reverse2 = False _status = None _text_True = dict() if _sys_version_info2 < (3, 7) else dict(text=True) _unroll = False _verbose = False @Property_RO def a(self): '''Get the I{equatorial} radius, semi-axis (C{meter}). ''' return self.ellipsoid.a @Property_RO def _b_option(self): return ('-b',) if self.reverse2 else () @Property_RO def _cmdBasic(self): '''(INTERNAL) Get the C{GeodSolve} basic cmd (C{tuple}). ''' return (self.GeodSolve,) + self._b_option \ + self._e_option \ + self._E_option \ + self._p_option \ + self._u_option + ('-f',) @Property_RO def _e_option(self): if self.ellipsoid is Ellipsoids.WGS84: return () # default a, f = strs((self.a, self.f), fmt=Fmt.F, prec=DIG + 3) # not .G! return ('-e', a, f) @Property_RO def _E_option(self): return ('-E',) if self.Exact else () @Property_RO def ellipsoid(self): '''Get the ellipsoid (C{Ellipsoid}). ''' return self._E @Property def Exact(self): '''Get the C{GeodesicExact} usage (C{bool}). ''' return self._Exact @Exact.setter # PYCHOK setter! def Exact(self, Exact): '''Set the C{GeodesicExact} usage (C{bool}). @arg Exact: If C{True} use C{GeodesicExact}, otherwise use C{Geodesic} (C{bool}). ''' Exact = bool(Exact) self._update(Exact != self.Exact) self._Exact = Exact @Property_RO def f(self): '''Get the ellipsoid's I{flattening} (C{float}), M{(a - b) / a}, C{0} for spherical, negative for prolate. ''' return self.ellipsoid.f def _GDictInvoke(self, cmd, floats, *args): '''(INTERNAL) Invoke C{GeodSolve}, return C{GDict}. ''' i = fstr(args, prec=DIG, fmt=Fmt.F, sep=_SPACE_) if args else None # not Fmt.G! t = self._invoke(cmd, stdin=i).lstrip().split() # 12-/+ tuple if len(t) > _len_N: # instrumented? # unzip the name=value pairs to names and values n, v = zip(*(p.split('=') for p in t[:-_len_N])) v += tuple(t[-_len_N:]) n += GeodSolve12Tuple._Names_ else: n, v = GeodSolve12Tuple._Names_, t if self.verbose: # PYCHOK no cover self._print(_COMMASPACE_.join(map(Fmt.EQUAL, n, map(fstrzs, v)))) if floats: v = map(float, v) return GDict(zip(n, v)) @Property def GeodSolve(self): '''Get the U{GeodSolve<https://GeographicLib.SourceForge.io/html/GeodSolve.1.html>} executable (C{filename}). ''' return self._GeodSolve @GeodSolve.setter # PYCHOK setter! def GeodSolve(self, path): '''Set the U{GeodSolve<https://GeographicLib.SourceForge.io/html/GeodSolve.1.html>} executable (C{filename}). @arg path: The (fully qualified) path to the C{GeodSolve} executable (C{str}). @raise GeodesicError: Invalid B{C{path}}, B{C{path}} doesn't exist or isn't the C{GeodSolve} executable. ''' hold = self.GeodSolve self._update(path != hold) self._GeodSolve = path try: self.version # test path and ... if self.status: # ... return code raise GeodesicError(GeodSolve=path, status=self.status, txt=_not_(_0_)) hold = path finally: # restore in case of error self._update(hold != self.GeodSolve) self._GeodSolve = hold @property_RO def invokation(self): '''Get the most recent C{GeodSolve} invokation number (C{int}). ''' return self._invokation def invoke(self, *options, **stdin): '''Invoke the C{GeodSolve} executable and return the result. @arg options: No, one or several C{GeodSolve} command line options (C{str}s). @kwarg stdin: Optional input to pass to C{GeodSolve.stdin} (C{str}). @return: The C{GeodSolve.stdout} and C{.stderr} output (C{str}). @raise GeodesicError: On any error, including a non-zero return code from C{GeodSolve}. @note: The C{GeodSolve} return code is in L{status}. ''' c = (self.GeodSolve,) + map2(str, options) i = stdin.get(_stdin_, None) r = self._invoke(c, stdin=i) s = self.status if s: raise GeodesicError(cmd=_cmd_stdin_(c, i), status=s, txt=_not_(_0_)) if self.verbose: # PYCHOK no cover self._print(r) return r def _invoke(self, cmd, stdin=None): '''(INTERNAL) Invoke the C{GeodSolve} executable, with the given B{C{cmd}} line and optional input to B{C{stdin}}. ''' self._invokation += 1 self._status = t = None if self.verbose: # PYCHOK no cover t = _cmd_stdin_(cmd, stdin) self._print(t) try: p = _Popen(cmd, creationflags=0, # executable =sys.executable, # shell =True, stdin =_PIPE, stdout =_PIPE, # PYCHOK kwArgs stderr =_STDOUT, **self._text_True) # invoke and write to stdin r = p.communicate(stdin)[0] if isinstance(r, bytes): # Python 3+ r = r.decode('utf-8') if len(r) < 6 or r[:5] in ('Error', 'ERROR'): raise ValueError(r) self._status = p.returncode except (IOError, OSError, TypeError, ValueError) as x: raise GeodesicError(cmd=t or _cmd_stdin_(cmd, stdin), txt=str(x)) return r.strip() @Property_RO def _p_option(self): return '-p', str(self.prec - 5) # -p is distance prec @Property def prec(self): '''Get the precision, number of decimal digits (C{int}). ''' return self._prec @prec.setter # PYCHOK setter! def prec(self, prec): '''Set the precision for C{angles} in C{degrees}, like C{lat}, C{lon}, C{azimuth} and C{arc}. @arg prec: Number of decimal digits (C{int}, C{0}..L{DIG}). @note: The precision for C{distance = B{prec} - 5} or up to 10 decimal digits for C{nanometer} and for C{area = B{prec} - 12} or at most C{millimeter} I{squared}. ''' prec = Precision_(prec=prec, high=DIG) self._update(prec != self.prec) self._prec = prec def _print(self, line): # PYCHOK no cover '''(INTERNAL) Print a status line. ''' if self.status is not None: line = _SPACE_(line, Fmt.PAREN(self.status)) printf('%s %d: %s', self.named2, self.invokation, line) @Property def reverse2(self): '''Get the C{azi2} direction (C{bool}). ''' return self._reverse2 @reverse2.setter # PYCHOK setter! def reverse2(self, reverse2): '''Set the direction for C{azi2} (C{bool}). @arg reverse2: If C{True} reverse C{azi2} (C{bool}). ''' reverse2 = bool(reverse2) self._update(reverse2 != self.reverse2) self._reverse2 = reverse2 @property_RO def status(self): '''Get the most recent C{GeodSolve} return code (C{int}, C{str}) or C{None}. ''' return self._status def toStr(self, prec=6, sep=_COMMASPACE_, **unused): # PYCHOK signature '''Return this C{GeodesicSolve} as string. @kwarg prec: The C{float} precision, number of decimal digits (0..9). Trailing zero decimals are stripped for B{C{prec}} values of 1 and above, but kept for negative B{C{prec}} values. @kwarg sep: Optional separator to join (C{str}). @return: GeodesicSolve items (C{str}). ''' d = dict(ellipsoid=self.ellipsoid, GeodSolve=self.GeodSolve, invokation=self.invokation, status=self.status) return sep.join(pairs(d, prec=prec)) @Property def unroll(self): '''Get the C{lon2} unroll'ing (C{bool}). ''' return self._unroll @unroll.setter # PYCHOK setter! def unroll(self, unroll): '''Set unroll'ing for C{lon2} (C{bool}). @arg unroll: If C{True} unroll C{lon2}, otherwise don't (C{bool}). ''' unroll = bool(unroll) self._update(unroll != self.unroll) self._unroll = unroll @Property_RO def _u_option(self): return '-u' if self.unroll else () @Property def verbose(self): '''Get the C{verbose} option (C{bool}). ''' return self._verbose @verbose.setter # PYCHOK setter! def verbose(self, verbose): '''Set the C{verbose} option. @arg verbose: Print a message around each C{GeodSolve} invokation (C{bool}). ''' self._verbose = bool(verbose) @property_RO def version(self): '''Get the result of C{"GeodSolve --version"}. ''' return self.invoke('--version') class GeodesicSolve(_GeodesicSolveBase): '''Wrapper to invoke I{Karney}'s U{GeodSolve<https://GeographicLib.SourceForge.io/html/GeodSolve.1.html>} as an C{Exact} version of I{Karney}'s Python class U{Geodesic<https://GeographicLib.SourceForge.io/html/ python/code.html#geographiclib.geodesic.Geodesic>}. @note: Use property C{GeodSolve} or env variable C{PYGEODESY_GEODSOLVE} to specify the (fully qualified) path to the C{GeodSolve} executable. @note: This C{geodesic} is intended I{for testing purposes only}, it invokes the C{GeodSolve} executable for I{every} method call. ''' def __init__(self, a_ellipsoid=Ellipsoids.WGS84, f=None, name=NN): '''New L{GeodesicSolve} instance. @arg a_ellipsoid: An ellipsoid (L{Ellipsoid}) or datum (L{datum}), or the equatorial radius of the ellipsoid (C{meter}). @arg f: The flattening of the ellipsoid (C{scalar}) if B{C{a_ellipsoid}} is specified as C{meter}. @kwarg name: Optional name (C{str}). ''' if a_ellipsoid in (GeodesicSolve._E, None): pass # ignore f, default WGS84 elif f is None: self._E = _ellipsoidal_datum(a_ellipsoid, name=name, raiser=True).ellipsoid else: self._E = Ellipsoid2(a_ellipsoid, f, name=name) if name: self.name = name def Area(self, polyline=False, name=NN): '''Set up an L{GeodesicAreaExact} to compute area and perimeter of a polygon. @kwarg polyline: If C{True} perimeter only, otherwise area and perimeter (C{bool}). @kwarg name: Optional name (C{str}). @return: A L{GeodesicAreaExact} instance. @note: The B{C{debug}} setting is passed as C{verbose} to the returned L{GeodesicAreaExact} instance. ''' from pygeodesy.geodesicx.gxarea import GeodesicAreaExact gaX = GeodesicAreaExact(self, polyline=polyline, name=name or self.name) if self.verbose or self.debug: # PYCHOK no cover gaX.verbose = True return gaX Polygon = Area # for C{geographiclib} compatibility @Property_RO def _cmdDirect(self): '''(INTERNAL) Get the C{GeodSolve} I{Direct} cmd (C{tuple}). ''' return self._cmdBasic @Property_RO def _cmdInverse(self): '''(INTERNAL) Get the C{GeodSolve} I{Inverse} cmd (C{tuple}). ''' return self._cmdBasic + ('-i',) def Direct(self, lat1, lon1, azi1, s12, *unused): '''Return the C{Direct} result. ''' return self._GDictInvoke(self._cmdDirect, True, lat1, lon1, azi1, s12) def Direct3(self, lat1, lon1, azi1, s12): # PYCHOK outmask '''Return the destination lat, lon and reverse azimuth (final bearing) in C{degrees}. @return: L{Destination3Tuple}C{(lat, lon, final)}. ''' d = self._GDictInvoke(self._cmdDirect, False, lat1, lon1, azi1, s12) return Destination3Tuple(float(d.lat2), float(d.lon2), wrap360(d.azi2)) def _GDictDirect(self, lat, lon, azi, arcmode, s12_a12, *unused): # for .geodesicx.gxarea '''(INTERNAL) Get C{_GenDirect}-like result as C{GDict}. ''' if arcmode: raise GeodesicError(arcmode=arcmode, txt=str(NotImplemented)) return self._GDictInvoke(self._cmdDirect, True, lat, lon, azi, s12_a12) def _GDictInverse(self, lat1, lon1, lat2, lon2, *unused): # for .geodesicx.gxarea '''(INTERNAL) Get C{_GenInverse}-like result as C{GDict}, but I{without} C{_SALPs_CALPs_}. ''' return self._GDictInvoke(self._cmdInverse, True, lat1, lon1, lat2, lon2) def Inverse(self, lat1, lon1, lat2, lon2, *unused): '''Return the C{Inverse} result. ''' return self._GDictInvoke(self._cmdInverse, True, lat1, lon1, lat2, lon2) def Inverse1(self, lat1, lon1, lat2, lon2, wrap=False): '''Return the non-negative, I{angular} distance in C{degrees}. ''' # see .FrechetKarney.distance, .HausdorffKarney._distance # and .HeightIDWkarney._distances _, lon2 = unroll180(lon1, lon2, wrap=wrap) # self.LONG_UNROLL d = self._GDictInvoke(self._cmdInverse, False, lat1, lon1, lat2, lon2) # XXX self.DISTANCE needed for 'a12'? return abs(float(d.a12)) def Inverse3(self, lat1, lon1, lat2, lon2): # PYCHOK outmask '''Return the distance in C{meter} and the forward and reverse azimuths (initial and final bearing) in C{degrees}. @return: L{Distance3Tuple}C{(distance, initial, final)}. ''' d = self._GDictInvoke(self._cmdInverse, False, lat1, lon1, lat2, lon2) return Distance3Tuple(float(d.s12), wrap360(d.azi1), wrap360(d.azi2)) def Line(self, lat1, lon1, azi1, caps=Caps.ALL): '''Set up an L{GeodesicLineSolve} to compute several points on a single geodesic. @arg lat1: Latitude of the first point (C{degrees}). @arg lon1: Longitude of the first point (C{degrees}). @arg azi1: Azimuth at the first point (compass C{degrees}). @kwarg caps: Bit-or'ed combination of L{Caps} values specifying the capabilities the L{GeodesicLineSolve} instance should possess, always C{Caps.ALL}. @return: A L{GeodesicLineSolve} instance. @note: If the point is at a pole, the azimuth is defined by keeping B{C{lon1}} fixed, writing C{B{lat1} = ±(90 − ε)}, and taking the limit C{ε → 0+}. @see: C++ U{GeodesicExact.Line <https://GeographicLib.SourceForge.io/html/classGeographicLib_1_1GeodesicExact.html>} and Python U{Geodesic.Line<https://GeographicLib.SourceForge.io/html/python/code.html>}. ''' return GeodesicLineSolve(self, lat1, lon1, azi1, caps=caps, name=self.name) _Line = Line class GeodesicLineSolve(_GeodesicSolveBase): '''Wrapper to invoke I{Karney}'s U{GeodSolve<https://GeographicLib.SourceForge.io/html/GeodSolve.1.html>} as an C{Exact} version of I{Karney}'s Python class U{GeodesicLine<https://GeographicLib.SourceForge.io/html/ python/code.html#geographiclib.geodesicline.GeodesicLine>}. @note: Use property C{GeodSolve} or env variable C{PYGEODESY_GEODSOLVE} to specify the (fully qualified) path to the C{GeodSolve} executable. @note: This C{geodesic} is intended I{for testing purposes only}, it invokes the C{GeodSolve} executable for I{every} method call. ''' _caps = 0 _gS = None # Solve only _lla1 = () def __init__(self, geodesic, lat1, lon1, azi1, caps=Caps.ALL, name=NN): '''New L{GeodesicLineSolve} instance, allowing points to be found along a geodesic starting at C{(B{lat1}, B{lon1})} with azimuth B{C{azi1}}. @arg geodesic: The geodesic to use (L{GeodesicSolve}). @arg lat1: Latitude of the first point (C{degrees}). @arg lon1: Longitude of the first point (C{degrees}). @arg azi1: Azimuth at the first points (compass C{degrees}). @kwarg caps: Bit-or'ed combination of L{Caps} values specifying the capabilities the L{GeodesicLineSolve} instance should possess, always C{Caps.ALL}. @kwarg name: Optional name (C{str}). @raise TypeError: Invalid B{C{geodesic}}. ''' _xinstanceof(GeodesicSolve, geodesic=geodesic) self._gS = gS = geodesic self._lla1 = lat1, lon1, azi1 self._caps = caps | Caps._LINE n = name or gS.name if n: self.name = n self._debug = gS._debug self.Exact = gS.Exact self.prec = gS.prec self.reverse2 = gS.reverse2 self.unroll = gS.unroll self.verbose = gS.verbose try: self.GeodSolve = gS.GeodSolve except GeodesicError: pass def ArcPosition(self, a12, *unused): '''Find the position on the line given B{C{a12}}. @arg a12: Spherical arc length from the first point to the second point (C{degrees}). @return: A C{dict} with 12 items C{lat1, lon1, azi1, lat2, lon2, azi2, m12, a12, s12, M12, M21, S12}. ''' return self._GDictInvoke(self._cmdArc, True, a12) @Property_RO def azi1(self): '''Get the azimuth at the first point (compass C{degrees}). ''' return self._lla1[2] @Property_RO def azi1_sincos2(self): '''Get the sine and cosine of the first point's azimuth (2-tuple C{(sin, cos)}). ''' return sincos2d(self.azi1) @Property_RO def caps(self): '''Get the capabilities (bit-or'ed C{Caps}). ''' return self._caps def caps_(self, caps): '''Check the available capabilities. @arg caps: Bit-or'ed combination of L{Caps} values for all capabilities to be checked. @return: C{True} if I{all} B{C{caps}} are available, C{False} otherwise (C{bool}). ''' return _all_caps(self.caps, caps) @Property_RO def _cmdArc(self): '''(INTERNAL) Get the C{GeodSolve} I{-a -L} cmd (C{tuple}). ''' return self._cmdDistance + ('-a',) @Property_RO def _cmdDistance(self): '''(INTERNAL) Get the C{GeodSolve} I{-L} cmd (C{tuple}). ''' return self._cmdBasic + ('-L',) + strs(self._lla1, prec=DIG, fmt=Fmt.F) @Property_RO def ellipsoid(self): '''Get the ellipsoid (C{Ellipsoid}). ''' return self._gS.ellipsoid @Property_RO def lat1(self): '''Get the latitude of the first point (C{degrees}). ''' return self._lla1[0] @Property_RO def lon1(self): '''Get the longitude of the first point (C{degrees}). ''' return self._lla1[1] def Position(self, s12, *unused): '''Find the position on the line given B{C{s12}}. @arg s12: Distance from the first point to the second C({meter}). @return: A C{dict} with 12 items C{lat1, lon1, azi1, lat2, lon2, azi2, m12, a12, s12, M12, M21, S12}, possibly C{a12=NAN}. ''' return self._GDictInvoke(self._cmdDistance, True, s12) __all__ += _ALL_DOCS(_GeodesicSolveBase) if __name__ == '__main__': gS = GeodesicSolve(name='Test') if gS.GeodSolve in (_PYGEODESY_GEODSOLVE_, None): # not set gS.GeodSolve = '/opt/local/Cellar/geographiclib/1.51/bin/GeodSolve' # HomeBrew # gS.verbose = True printf('version: %s', gS.version) r = gS.Direct(40.6, -73.8, 51, 5.5e6) printf('Direct: %r', r, nl=1) # GDict(M12=0.650911, M21=0.651229, S12=39735075134877.09375, a12=49.475527, azi1=51.0, azi2=107.189397, lat1=40.6, lat2=51.884565, lon1=-73.8, lon2=-1.141173, m12=4844148.703101, s12=5500000.0) printf('Direct3: %r', gS.Direct3(40.6, -73.8, 51, 5.5e6)) # Destination3Tuple(lat=51.884565, lon=-1.141173, final=107.189397) printf('Inverse: %r', gS.Inverse( 40.6, -73.8, 51.6, -0.5), nl=1) # GDict(M12=0.64473, M21=0.645046, S12=40041368848742.53125, a12=49.94131, azi1=51.198883, azi2=107.821777, lat1=40.6, lat2=51.6, lon1=-73.8, lon2=-0.5, m12=4877684.602706, s12=5551759.400319) printf('Inverse1: %r', gS.Inverse1(40.6, -73.8, 51.6, -0.5)) # 49.94131021789904 printf('Inverse3: %r', gS.Inverse3(40.6, -73.8, 51.6, -0.5)) # Distance3Tuple(distance=5551759.400319, initial=51.198883, final=107.821777) glS = GeodesicLineSolve(gS, 40.6, -73.8, 51) p = glS.Position(5.5e6) printf('Position: %s %r', p == r, p, nl=1) p = glS.ArcPosition(49.475527) printf('ArcPosition: %s %r', p == r, p) # % python3 -m pygeodesy.geodsolve # version: /opt/local/Cellar/geographiclib/1.51/bin/GeodSolve: GeographicLib version 1.51 # # Direct: GDict(M12=0.650911, M21=0.651229, S12=39735075134877.09375, a12=49.475527, azi1=51.0, azi2=107.189397, lat1=40.6, lat2=51.884565, lon1=-73.8, lon2=-1.141173, m12=4844148.703101, s12=5500000.0) # Direct3: Destination3Tuple(lat=51.884565, lon=-1.141173, final=107.189397) # # Inverse: GDict(M12=0.64473, M21=0.645046, S12=40041368848742.53125, a12=49.94131, azi1=51.198883, azi2=107.821777, lat1=40.6, lat2=51.6, lon1=-73.8, lon2=-0.5, m12=4877684.602706, s12=5551759.400319) # Inverse1: 49.94131021789904 # Inverse3: Distance3Tuple(distance=5551759.400319, initial=51.198883, final=107.821777) # # Position: True GDict(M12=0.650911, M21=0.651229, S12=39735075134877.09375, a12=49.475527, azi1=51.0, azi2=107.189397, lat1=40.6, lat2=51.884565, lon1=-73.8, lon2=-1.141173, m12=4844148.703101, s12=5500000.0) # ArcPosition: False GDict(M12=0.650911, M21=0.651229, S12=39735074737272.734375, a12=49.475527, azi1=51.0, azi2=107.189397, lat1=40.6, lat2=51.884565, lon1=-73.8, lon2=-1.141174, m12=4844148.669561, s12=5499999.948497) # **) 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.