1

2# -*- coding: utf-8 -*-

3

4 u'''A pure Python implementation of geodesy tools for various ellipsoidal and spherical earth

5 models using precision trigonometric, vector-based, exact, elliptic, iterative and approximate

6 methods for geodetic (lat-/longitude), geocentric (U{ECEF<https://WikiPedia.org/wiki/ECEF>}

7 cartesian) and certain U{triaxial ellipsoidal<https://GeographicLib.SourceForge.io/1.44/triaxial.html>}

8 coordinates.

9

10 Transcoded from U{JavaScript originals<https://GitHub.com/ChrisVeness/geodesy>} by I{Chris Veness

11(C) 2005-2022} and from several U{C++ classes<https://GeographicLib.SourceForge.io/C++/doc/annotated.html>}

12 by I{Charles F. F. Karney (C) 2008-2023} and published under the same U{MIT License

13<https://OpenSource.org/licenses/MIT>}**.

14

15 There are four modules for ellipsoidal earth models, C{ellipsoidalExact}, C{-Karney},

16 C{-Vincenty} and C{-Nvector} and two for spherical ones, C{sphericalTrigonometry}

17 and C{-Nvector}. Each module provides a geodetic B{C{LatLon}} and a geocentric

18 B{C{Cartesian}} class with methods and functions to compute distance, surface area,

19 perimeter, initial and final bearing, intermediate and nearest points, circle intersections

20 and secants, path intersections, U{3-point resections<https://WikiPedia.org/wiki/

21 Position_resection_and_intersection>}, rhumb and rhumb lines, triangulation, trilateration

22(by intersection, by overlap and in 3d), conversions and unrolling, among other things. For

23 more information and further details see the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>},

24 the descriptions of U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>},

25 U{Vincenty<https://www.Movable-Type.co.UK/scripts/latlong-vincenty.html>} and U{Vector-based

26<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>} geodesy, the original U{JavaScript

27 source<https://GitHub.com/ChrisVeness/geodesy>} or U{docs<https://www.Movable-Type.co.UK/scripts/geodesy/docs>}

28 and I{Karney}'s Python U{geographiclib<https://PyPI.org/project/geographiclib>} and U{C++ GeographicLib

29<https://GeographicLib.SourceForge.io/C++/doc/index.html>}.

30

31 Also included are modules for conversions to and from U{Cassini-Soldner

32<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1CassiniSoldner.html>},

33 U{ECEF<https://WikiPedia.org/wiki/ECEF>} (Earth-Centered, Earth-Fixed cartesian), U{UTM

34<https://www.Movable-Type.co.UK/scripts/latlong-utm-mgrs.html>} (Universal Transverse Mercator

35 and U{Exact<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1TransverseMercatorExact.html>}),

36 U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} (Universal Polar

37 Stereographic) and U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (Pseudo-Mercator) coordinates,

38 U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1MGRS.html>} (Military Grid Reference

39 System, UTM I{and} UPS) and U{OSGR<https://www.Movable-Type.co.UK/scripts/latlong-os-gridref.html>} (British

40 Ordinance Survery Grid Reference) grid references, U{TRF<http://ITRF.ENSG.IGN.Fr>} (Terrestrial Reference

41 Frames) and modules to encode and decode U{EPSG<https://EPSG.org>}, U{Geohashes

42<https://www.Movable-Type.co.UK/scripts/geohash.html>}, U{Georefs (WGRS)

43<https://WikiPedia.org/wiki/World_Geographic_Reference_System>} and U{Garefs (GARS)

44<https://WikiPedia.org/wiki/Global_Area_Reference_System>}.

45

46 Other modules provide U{Albers equal-area<https://GeographicLib.SourceForge.io/

47 C++/doc/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant

48<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AzimuthalEquidistant.html>}

49 and other I{azimuthal} projections, Lambert I{conformal conic} projections and

50 positions, functions to clip paths or polygons of C{LatLon} points using the

51 U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>},

52 U{Forster-Hormann-Popa<https://www.ScienceDirect.com/science/article/pii/S259014861930007X>},

53 U{Greiner-Hormann<http://www.inf.USI.CH/hormann/papers/Greiner.1998.ECO.pdf>},

54 U{Liang-Barsky<https://www.CS.Helsinki.FI/group/goa/viewing/leikkaus/intro.html>} and

55 U{Sutherland-Hodgman<https://WikiPedia.org/wiki/Sutherland-Hodgman_algorithm>} methods,

56 functions to U{simplify<https://Bost.Ocks.org/mike/simplify>} or linearize a path of C{LatLon}

57 points (or a U{NumPy array<https://docs.SciPy.org/doc/numpy/reference/generated/numpy.array.html>}),

58 including implementations of the U{Ramer-Douglas-Peucker<https://WikiPedia.org/wiki/

59 Ramer-Douglas-Peucker_algorithm>}, the U{Visvalingam-Whyatt<https://hydra.Hull.ac.UK/

60 resources/hull:8338>} and the U{Reumann-Witkam<https://psimpl.SourceForge.net/reumann-witkam.html>}

61 algorithms and modified versions of the former. Other classes provide I{boolean} operations between

62(composite) polygons or U{interpolate <https://docs.SciPy.org/doc/scipy/reference/interpolate.html>}

63 the L{height<pygeodesy.heights>} of C{LatLon} points and L{Geoid<pygeodesy.geoids>} models, compute

64 various U{Fréchet<https://WikiPedia.org/wiki/Frechet_distance>} or U{Hausdorff<https://WikiPedia.org/

65 wiki/Hausdorff_distance>} distances.

66

67 Installation

68============

69

70 To install PyGeodesy, type C{python[3] -m pip install PyGeodesy} or C{python[3] -m easy_install

71 PyGeodesy} in a terminal or command window.

72

73 If the wheel C{PyGeodesy-yy.m.d-py2.py3-none-any.whl} is missing in U{PyPI Download files<https://

74 PyPI.org/project/PyGeodesy/#files>}, download the file from U{GitHub/dist<https://GitHub.com/mrJean1/

75 PyGeodesy/tree/master/dist>}. Install that with C{python[3] -m pip install <path-to-downloaded-wheel>}

76 and verify with C{python[3] -m pygeodesy}.

77

78 Alternatively, download C{PyGeodesy-yy.m.d.zip} from U{PyPI<https://PyPI.org/project/PyGeodesy>}

79 or U{GitHub<https://GitHub.com/mrJean1/PyGeodesy>}, C{unzip} the downloaded file, C{cd} to

80 directory C{Pygeodesy-yy.m.d} and type C{python[3] setup.py install}.

81

82 To run all PyGeodesy tests, type C{python[3] test/run.py} or type C{python[3] test/unitTestSuite.py}

83 before or after installation.

84

85 Dependencies

86============

87

88 Installation of I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>}

89 is optional, but required to use modules L{ellipsoidalKarney} and L{css}, L{azimuthal} classes

90 L{EquidistantKarney} and L{GnomonicKarney} and the L{HeightIDWkarney} interpolator.

91

92 Both U{numpy<https://PyPI.org/project/numpy>} and U{scipy<https://PyPI.org/project/scipy>} must be

93 installed for most L{Geoid...<pygeodesy.geoids>} and L{Height...<pygeodesy.heights>} interpolators,

94 except L{GeoidKarney} and the L{HeightIDW...<pygeodesy.heights>} ones.

95

96 Functions and C{LatLon} methods L{circin6}, L{circum3}, L{circum4_}, L{soddy4}, L{trilaterate3d2} do and

97 C{trilaterate5} and modules L{auxilats} and L{rhumb} may require U{numpy<https://PyPI.org/project/numpy>}.

98

99 Modules L{ellipsoidalGeodSolve} and L{geodsolve} and L{azimuthal} classes L{EquidistantGeodSolve}

100 and L{GnomonicGeodSolve} depend on I{Karney}'s C++ utility U{GeodSolve

101<https://GeographicLib.SourceForge.io/C++/doc/GeodSolve.1.html>} to be executable and set with

102 env variable C{PYGEODESY_GEODSOLVE} or with property L{Ellipsoid.geodsolve}.

103

104 Class L{Intersectool} and module L{geodesici} need I{Karney}'s C++ utility U{IntersectTool

105<https://GeographicLib.SourceForge.io/C++/doc/IntersectTool.1.html>} to be executable and set with

106 env variable C{PYGEODESY_INTERSECTTOOL}.

107

108

109 To compare C{MGRS} results from modules L{mgrs} and C{testMgrs} with I{Karney}'s C++ utility

110 U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html>}, the latter must

111 be executable and set with env variable C{PYGEODESY_GEOCONVERT}.

112

113 Module L{rhumb.solve} needs I{Karney}'s C++ utility U{RhumbSolve

114<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} to be executable and set with

115 env variable C{PYGEODESY_RHUMBSOLVE} or with property L{Ellipsoid.rhumbsolve}.

116

117 Documentation

118=============

119

120 In addition to the C{pygeodesy} package, the U{PyGeodesy<https://PyPI.org/project/PyGeodesy>}

121 U{distribution files<https://GitHub.com/mrJean1/PyGeodesy/tree/master/dist>} contain the tests,

122 the test results (on macOS only) and the complete U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}

123(generated by U{Epydoc<https://PyPI.org/project/epydoc>} using command line:

124 C{epydoc --html --no-private --no-source --name=PyGeodesy --url=... -v pygeodesy}).

125

126 Tests

127=====

128

129 The tests ran with Python 3.12.3 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0,

130 Python 3.11.5 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, U{numpy

131<https://PyPI.org/project/numpy>} 1.24.2 and U{scipy<https://PyPI.org/project/scipy>} 1.10.1), Python

132 3.10.8 (with U{geographiclib <https://PyPI.org/project/geographiclib>} 2.0, U{numpy

133<https://PyPI.org/project/numpy>} 1.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, U{GeoConvert

134<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2, U{GeodSolve

135<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2 and U{RhumbSolve

136<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2), Python 3.9.6 and Python 2.7.18 (with

137 U{geographiclib<https://PyPI.org/project/geographiclib>} 1.50, U{numpy<https://PyPI.org/project/numpy>}

138 1.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2, U{GeoConvert

139<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2, U{GeodSolve

140<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2 and U{RhumbSolve

141<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.2), all on macOS 14.5 Sonoma and

142 in 64-bit only.

143

144 All tests ran with and without C{lazy import} for Python 3 and with command line option C{-W default} and

145 env variable C{PYGEODESY_WARNINGS=on} for all Python versions. The results of those tests are included in

146 the distribution files.

147

148 Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.2.2 using only Python

149 3.11.5 and 3.10.8. The complete coverage report in HTML and a PDF summary are included in the distribution files.

150

151 PyPy 7.3.12 (Python 3.10.12), Python 3.11.5, 3.10.8 and 3.9.6 ran on Apple M1 Silicon (C{arm64}), I{natively}.

152 Python 3.8.10 and 2.7.18 ran on Intel (C{x86_64}) or Intel I{emulation} ("C{arm64_x86_64}", see function

153 L{machine<pygeodesy.machine>}).

154

155 The tests also ran with Python 3.11.5 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on

156 U{Debian 11<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only and with Python 3.11.5,

157 3.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10

158<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64- and/or 32-bit.

159

160 A single-File and single-Directory application with C{pygeodesy} has been bundled using U{PyInstaller

161<https://PyPI.org/project/pyinstaller>} 3.4 and 64-bit Python 3.7.3 on macOS 10.13.6 High Sierra.

162

163 Previously, the tests were run with Python 3.12.0-2, 3.11.2-4, 3.10.1-7, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy

164<https://PyPy.org>} 7.3.12 (Python 3.10.12), 7.3.1 (Python 3.6.9) and U{PyPy<https://PyPy.org>} 7.1.1 (Python

165 2.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>}

166 1.16.3, 1.16.4, 1.16.6, 1.19.0, 1.19.4, 1.19.5 or 1.22.4 and U{scipy<https://PyPI.org/project/scipy>} 1.2.1, 1.4.1,

167 1.5.2 or 1.8.1) on U{Ubuntu 16.04<https://Travis-CI.com/mrJean1/PyGeodesy>}, with Python 3.10.0-1, 3.9.0-5, 3.8.0-6,

168 3.7.2-6, 3.7.0, 3.6.2-5, 3.5.3, 2.7.13-17, 2.7.10 and 2.6.9 (and U{numpy<https://PyPI.org/project/numpy>} 1.19.0,

169 1.16.5, 1.16.2, 1.15.2, 1.14.0, 1.13.1, 1.8.0rc1 or 1.6.2 and U{scipy<https://PyPI.org/project/scipy>} 1.5.0), U{PyPy

170<https://PyPy.org>} 7.3.0 (Python 2.7.13 and 3.6.9), U{PyPy<https://PyPy.org>} 6.0.0 (Python 2.7.13 and 3.5.3)

171 and U{Intel-Python<https://software.Intel.com/en-us/distribution-for-python>} 3.5.3 (and U{numpy

172<https://PyPI.org/project/numpy>} 1.11.3) on macOS 14.0-4.1 Sonoma, 13.0-5.2 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1

173 Big Sur (aka 10.16), 10.15.3, 10.15.5-7 Catalina, 10.14 Mojave, 10.13.6 High Sierra and 10.12 Sierra, MacOS X

174 10.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with

175 geographiclib 1.50 or 1.49 and numpy 1.8.0) on iOS 14.4.2, 11.4.1, 12.0-3 on iPad4, iPhone6, iPhone10 and/or

176 iPhone12, with U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3

177 on iPad4, all in 64-bit only and with 32-bit Python 2.7.14 on Windows Server 2012R2, Windows 10 Pro and with

178 32-bit Python 2.6.6 on Windows XP SP3.

179

180 Notes

181=====

182

183 All Python source code has been statically U{checked<https://GitHub.com/ActiveState/code/tree/master/recipes/

184 Python/546532_PyChecker_postprocessor>} with U{PyChecker<https://PyPI.org/project/pychecker>}, U{PyFlakes

185<https://PyPI.org/project/pyflakes>}, U{PyCodeStyle<https://PyPI.org/project/pycodestyle>} (formerly Pep8) and

186 U{McCabe<https://PyPI.org/project/mccabe>} using Python 2.7.18 and with U{Flake8<https://PyPI.org/project/flake8>}

187 using Python 3.11.5, both in 64-bit on macOS 14.5 Sonoma.

188

189 For a summary of all I{Karney}-based functionality in C{pygeodesy}, see module U{karney

190<https://mrJean1.GitHub.io/PyGeodesy/docs/pygeodesy.karney-module.html>}.

191

192 In Python 2, symbols L{S_DEG}, L{S_MIN}, L{S_SEC}, L{S_RAD} and L{S_SEP} may be multi-byte, non-ascii

193 characters and if so, I{not} C{unicode}.

194

195 Env variables

196=============

197

198 The following environment variables are observed by C{PyGeodesy}:

199

200 - C{PYGEODESY_EXCEPTION_CHAINING} - see module L{errors<pygeodesy.errors>}.

201 - C{PYGEODESY_FMT_FORM} - see module L{dms<pygeodesy.dms>}.

202 - C{PYGEODESY_FSUM_RESIDUAL} - see module L{fsums<pygeodesy.fsums>} and class L{Fsum<pygeodesy.Fsum>}.

203 - C{PYGEODESY_GEOCONVERT} - see module L{mgrs<pygeodesy.mgrs>}.

204 - C{PYGEODESY_GEODSOLVE} - see module L{geodsolve<pygeodesy.geodsolve>}.

205 - C{PYGEODESY_INTERSECTTOOL} - see modules L{geodesici<pygeodesy.geodesici>}.

206 - C{PYGEODESY_LAZY_IMPORT} - see module L{lazily<pygeodesy.lazily>} and variable L{isLazy<pygeodesy.isLazy>}.

207 - C{PYGEODESY_NOTIMPLEMENTED} - C{__special__} methods return C{NotImplemented} if set to "std".

208 - C{PYGEODESY_RHUMBSOLVE} - see module L{rhumb.solve<pygeodesy.rhumb.solve>}.

209 - C{PYGEODESY_UPS_POLES} - see modules L{ups<pygeodesy.ups>} and L{mgrs<pygeodesy.mgrs>}.

210

211 and these to control standard or I{named} C{repr}esentations:

212

213 - C{PYGEODESY_BEARING_STD_REPR} - see method L{Bearing<pygeodesy.Bearing>}C{.__repr__}.

214 - C{PYGEODESY_BOOL_STD_REPR} - see method L{Bool<pygeodesy.Bool>}C{.__repr__}.

215 - C{PYGEODESY_DEGREES_STD_REPR} - see method L{Degrees<pygeodesy.Degrees>}C{.__repr__}.

216 - C{PYGEODESY_FLOAT_STD_REPR} - see method L{Float<pygeodesy.Float>}C{.__repr__}.

217 - C{PYGEODESY_INT_STD_REPR} - see method L{Int<pygeodesy.Int>}C{.__repr__}.

218 - C{PYGEODESY_METER_STD_REPR} - see method L{Meter<pygeodesy.Meter>}C{.__repr__}.

219 - C{PYGEODESY_RADIANS_STD_REPR} - see method L{Radians<pygeodesy.Radians>}C{.__repr__}.

220 - C{PYGEODESY_STR_STD_REPR} - see method L{Str<pygeodesy.Str>}C{.__repr__}.

221

222 plus during development:

223

224 - C{PYGEODESY_FOR_DOCS} - for extended documentation by C{epydoc}.

225 - C{PYGEODESY_GEOGRAPHICLIB} - see module L{karney<pygeodesy.karney>}.

226 - C{PYGEODESY_WARNINGS} - see module L{props<pygeodesy.props>} and function L{DeprecationWarnings<pygeodesy.DeprecationWarnings>}.

227 - C{PYGEODESY_XPACKAGES} - see module L{basics<pygeodesy.basics>}.

228 - C{PYTHONDEVMODE} - see modules L{errors<pygeodesy.errors>} and L{props<pygeodesy.props>}.

229

230 and:

231

232 - C{PYGEODESY_INIT__ALL__} - Set env variable C{PYGEODESY_INIT__ALL__} to anything

233 other than C{"__all__"} to avoid importing all C{pygeodesy} modules unnecessarily

234 (in Python 2 or with C{PYGEODESY_LAZY_IMPORT} turned off in Python 3). However,

235 to import a C{pygeodesy} item, the item name must be qualified with the C{module}

236 name, for example C{ from pygeodesy.ellipsoidalExact import LatLon } or C{ from

237 pygeodesy.deprecated import collins }

238

239 License

240=======

241

242**) U{Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.<https://OpenSource.org/licenses/MIT>}

243

244 C{Permission is hereby granted, free of charge, to any person obtaining a copy of this software

245 and associated documentation files (the "Software"), to deal in the Software without restriction,

246 including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense,

247 and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so,

248 subject to the following conditions:}

249

250 C{The above copyright notice and this permission notice shall be included in all copies or substantial

251 portions of the Software.}

252

253 C{THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT

254 NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.

255 IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,

256 WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE

257 SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.}

258

259@newfield example: Example, Examples

260

261@var EPS: System's M{epsilon} ≈ 2.22044604925e-16 (C{float}).

262@var EPS0: M{EPS**2} ≈ 4.9e-32 for near-zero comparison

263@var EPS02: M{EPS**4} ≈ 2.4e-63 for near-zero squared comparison

264@var EPS1: M{1 - EPS} ≈ 0.9999999999999998 (C{float}).

265@var EPS2: M{EPS * 2} ≈ 4.440892098501e-16 (C{float}).

266@var EPS_2: M{EPS / 2} ≈ 1.110223024625e-16 (C{float}).

267@var EPS4: M{EPS * 4} ≈ 8.881784197001e-16 (C{float}).

268

269@var F_D: Format degrees as unsigned "deg°" with symbol, plus compass point suffix C{N, S, E} or C{W} (C{str}).

270@var F_DM: Format degrees as unsigned "deg°min′" with symbols, plus suffix (C{str}).

271@var F_DMS: Format degrees as unsigned "deg°min′sec″" with symbols, plus suffix (C{str}).

272@var F_DEG: Format degrees as unsigned "[D]DD" I{without} symbol, plus suffix (C{str}).

273@var F_MIN: Format degrees as unsigned "[D]DDMM" I{without} symbols, plus suffix (C{str}).

274@var F_SEC: Format degrees as unsigned "[D]DDMMSS" I{without} symbols, plus suffix (C{str}).

275@var F_D60: Format degrees as unsigned "[D]DD.MMSS" C{sexagecimal} I{without} symbols, plus suffix (C{str}).

276@var F__E: Format degrees as unsigned "%E" I{without} symbols, plus suffix (C{str}).

277@var F__F: Format degrees as unsigned "%F" I{without} symbols, plus suffix (C{str}).

278@var F__G: Format degrees as unsigned "%G" I{without} symbols, plus suffix (C{str}).

279@var F_RAD: Convert degrees to radians and format as unsigned "RR" with symbol, plus suffix (C{str}).

280

281@var F_D_: Format degrees as signed "-/deg°" with symbol, I{without} suffix (C{str}).

282@var F_DM_: Format degrees as signed "-/deg°min′" with symbols, I{without} suffix (C{str}).

283@var F_DMS_: Format degrees as signed "-/deg°min′sec″" with symbols, I{without} suffix (C{str}).

284@var F_DEG_: Format degrees as signed "-/[D]DD" I{without} symbol, I{without} suffix (C{str}).

285@var F_MIN_: Format degrees as signed "-/[D]DDMM" I{without} symbols, I{without} suffix (C{str}).

286@var F_SEC_: Format degrees as signed "-/[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).

287@var F_D60_: Format degrees as signed "-/[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).

288@var F__E_: Format degrees as signed "-/%E" I{without} symbols, I{without} suffix (C{str}).

289@var F__F_: Format degrees as signed "-/%F" I{without} symbols, I{without} suffix (C{str}).

290@var F__G_: Format degrees as signed "-/%G" I{without} symbols, I{without} suffix (C{str}).

291@var F_RAD_: Convert degrees to radians and format as signed "-/RR" I{without} symbol, I{without} suffix (C{str}).

292

293@var F_D__: Format degrees as signed "-/+deg°" with symbol, I{without} suffix (C{str}).

294@var F_DM__: Format degrees as signed "-/+deg°min′" with symbols, I{without} suffix (C{str}).

295@var F_DMS__: Format degrees as signed "-/+deg°min′sec″" with symbols, I{without} suffix (C{str}).

296@var F_DEG__: Format degrees as signed "-/+[D]DD" I{without} symbol, I{without} suffix (C{str}).

297@var F_MIN__: Format degrees as signed "-/+[D]DDMM" I{without} symbols, without suffix (C{str}).

298@var F_SEC__: Format degrees as signed "-/+[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).

299@var F_D60__: Format degrees as signed "-/+[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).

300@var F__E__: Format degrees as signed "-/+%E" I{without} symbols, I{without} suffix (C{str}).

301@var F__F__: Format degrees as signed "-/+%F" I{without} symbols, I{without} suffix (C{str}).

302@var F__G__: Format degrees as signed "-/+%G" I{without} symbols, I{without} suffix (C{str}).

303@var F_RAD__: Convert degrees to radians and format as signed "-/+RR" I{without} symbol, I{without} suffix (C{str}).

304

305@var DIG: System's M{float decimal digits} = 15 (C{int}).

306@var INF: Infinity (C{float}), see functions L{isinf<pygeodesy.isinf>} and L{isfinite<pygeodesy.isfinite>} and C{NINF}.

307@var INT0: C{int(0)}, missing Z-components, C{if B{z}=B{INT0}}, see functions L{isint0<pygeodesy.isint0>}, L{meeus2<pygeodesy.meeus2>}

308@var MANT_DIG: System's M{float mantissa bits} = 53 (C{int}).

309@var MAX: System's M{float max} ≈ 1.798e+308 (C{float}).

310@var MIN: System's M{float min} ≈ 2.225e-308 (C{float}).

311@var NAN: Not-A-Number (C{float}), see function L{isnan<pygeodesy.isnan>}.

312@var NEG0: Negative 0.0 (C{float}), see function L{isneg0<pygeodesy.isneg0>}.

313@var NINF: Negative infinity (C{float}), see function L{isninf<pygeodesy.isninf>} and C{INF}.

314@var NN: Empty (C{str}), U{I{Nomen Nescio}<https://Wiktionary.org/wiki/N.N.>}.

315

316@var PI: Constant M{math.pi} (C{float}).

317@var PI2: Two PI, M{PI * 2}, aka I{Tau} (C{float}).

318@var PI_2: Half PI, M{PI / 2} (C{float}).

319@var PI3: Three PI, M{PI * 3} (C{float}).

320@var PI3_2: One and a half PI, M{PI * 3 / 2} (C{float}).

321@var PI_3: One third PI, M{PI / 3} (C{float}).

322@var PI4: Four PI, M{PI * 4} (C{float}).

323@var PI_4: Quarter PI, M{PI / 4} (C{float}).

324

325@var R_MA: Equatorial earth radius (C{meter}), WGS84, EPSG:3785.

326@var R_MB: Polar earth radius (C{meter}), WGS84, EPSG:3785.

327@var R_M: Mean (spherical) earth radius (C{meter}).

328@var R_KM: Mean (spherical) earth radius (C{Km}, kilometer).

329@var R_NM: Mean (spherical) earth radius (C{NM}, nautical miles).

330@var R_SM: Mean (spherical) earth radius (C{SM}, statute miles).

331@var R_FM: Former FAI-Sphere earth radius (C{meter}).

332@var R_GM: Average earth radius, distance to geoid surface (C{meter})

333@var R_QM: Earth' (triaxial) quadratic mean radius (C{meter})

334@var R_VM: Aviation/Navigation earth radius (C{meter}).

335

336@var S_DEG: Degrees symbol, default C{"°"}

337@var S_MIN: Minutes symbol, default C{"′"} aka I{PRIME}

338@var S_SEC: Seconds symbol, default C{"″"} aka I{DOUBLE_PRIME}

339@var S_RAD: Radians symbol, default C{""} aka L{NN<pygeodesy.NN>}

340@var S_DMS: If C{True} include, otherwise cancel all DMS symbols, default C{True}.

341@var S_SEP: Separator between C{deg°|min′|sec″|suffix}, default C{""} aka L{NN<pygeodesy.NN>}

342

343@var Conics: Registered, predefined conics (C{enum-like}).

344@var Datums: Registered, predefined datums (C{enum-like}).

345@var Ellipsoids: Registered, predefined ellipsoids (C{enum-like}).

346@var RefFrames: Registered, predefined reference frames (C{enum-like}).

347@var Transforms: Registered, predefined transforms (C{enum-like}).

348@var Triaxials: Registered, predefined triaxial ellipsoids (C{enum-like}).

349

350@var isLazy: Lazy import setting (C{int} 0, 1, 2 or 3+) from C{env} variable C{PYGEODESY_LAZY_IMPORT}, or C{None} if C{lazy import} is not supported or not enabled, or C{False} if initializing C{lazy import} failed.

351

352@var pygeodesy_abspath: Fully qualified C{pygeodesy} directory name (C{str}).

353

354@var version: Normalized C{PyGeodesy} version (C{str}).

355'''

356

357 import os.path as _os_path

358 import sys as _sys

359

360_init__all__ = True

361# <https://PyInstaller.ReadTheDocs.io/en/stable/runtime-information.html>

362_isfrozen = getattr(_sys, 'frozen', False)

363 pygeodesy_abspath = _os_path.dirname(_os_path.abspath(__file__)) # _sys._MEIPASS + '/pygeodesy'

364_pygeodesy_ = __package__ or _os_path.basename(pygeodesy_abspath)

365

366 if _isfrozen: # avoid lazy import

367 _lazy_import2 = None

368 else:

369 # setting __path__ should ...

370 __path__ = [pygeodesy_abspath]

371 try: # ... make this import work, ...

372 import pygeodesy.lazily as _

373 except ImportError: # ... if it doesn't, extend

374 # _sys.path to include this very directory such

375 # that all public and private sub-modules can

376 # be imported (and checked by PyChecker, etc.)

377 _sys.path.insert(0, pygeodesy_abspath) # XXX __path__[0]

378

379 try: # lazily requires Python 3.7+, see lazily.__doc__

380 from pygeodesy.lazily import _init__all__, _lazy_import2 # PYCHOK expected

381 _, __getattr__ = _lazy_import2(_pygeodesy_) # PYCHOK expected

382

383 except (ImportError, NotImplementedError): # LazyImportError

384 _lazy_import2 = None

385

386 if _init__all__ and not _lazy_import2: # import and set __all__

387

388 # import all public modules and export as such

389 import pygeodesy.albers as albers # PYCHOK exported

390 import pygeodesy.auxilats as auxilats # PYCHOK exported

391 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

392 import pygeodesy.basics as basics # PYCHOK exported

393 import pygeodesy.booleans as booleans # PYCHOK exported

394 import pygeodesy.cartesianBase as cartesianBase # PYCHOK INTERNAL

395 import pygeodesy.clipy as clipy # PYCHOK exported

396 import pygeodesy.constants as constants # PYCHOK exported

397 import pygeodesy.css as css # PYCHOK exported

398 import pygeodesy.datums as datums # PYCHOK exported

399 import pygeodesy.deprecated as deprecated # PYCHOK exported

400 import pygeodesy.dms as dms # PYCHOK exported

401 import pygeodesy.ecef as ecef # PYCHOK exported

402 import pygeodesy.elevations as elevations # PYCHOK exported

403 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK INTERNAL

404 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK INTERNAL

405 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

406 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

407 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

408 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

409 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

410 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

411 import pygeodesy.elliptic as elliptic # PYCHOK exported

412 import pygeodesy.epsg as epsg # PYCHOK exported

413 import pygeodesy.etm as etm # PYCHOK exported

414 import pygeodesy.errors as errors # PYCHOK exported

415 import pygeodesy.fmath as fmath # PYCHOK exported

416 import pygeodesy.formy as formy # PYCHOK exported

417 import pygeodesy.frechet as frechet # PYCHOK exported

418 import pygeodesy.fstats as fstats # PYCHOK exported

419 import pygeodesy.fsums as fsums # PYCHOK exported

420 import pygeodesy.gars as gars # PYCHOK exported

421 import pygeodesy.geodesici as geodesici # PYCHOK exported

422 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

423 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

424 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

425 import pygeodesy.geohash as geohash # PYCHOK exported

426 import pygeodesy.geoids as geoids # PYCHOK exported

427 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

428 import pygeodesy.heights as heights # PYCHOK exported

429 import pygeodesy.internals as internals # PYCHOK exported

430 import pygeodesy.interns as interns # PYCHOK exported

431 import pygeodesy.iters as iters # PYCHOK exported

432 import pygeodesy.karney as karney # PYCHOK exported

433 import pygeodesy.ktm as ktm # PYCHOK exported

434 import pygeodesy.latlonBase as latlonBase # PYCHOK INTERNAL

435 import pygeodesy.lazily as lazily # PYCHOK exported

436 import pygeodesy.lcc as lcc # PYCHOK exported

437 import pygeodesy.ltp as ltp # PYCHOK exported

438 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

439 import pygeodesy.mgrs as mgrs # PYCHOK exported

440 import pygeodesy.named as named # PYCHOK exported

441 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

442 import pygeodesy.nvectorBase as nvectorBase # PYCHOK INTERNAL

443 import pygeodesy.osgr as osgr # PYCHOK exported

444 import pygeodesy.points as points # PYCHOK exported

445 import pygeodesy.props as props # PYCHOK exported

446 import pygeodesy.resections as resections # PYCHOK exported

447 import pygeodesy.rhumb as rhumb # PYCHOK exported

448 import pygeodesy.simplify as simplify # PYCHOK exported

449 import pygeodesy.sphericalBase as sphericalBase # PYCHOK INTERNAL

450 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

451 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

452 import pygeodesy.solveBase as solveBase # PYCHOK exported

453 import pygeodesy.streprs as streprs # PYCHOK exported

454 import pygeodesy.trf as trf # PYCHOK exported

455 import pygeodesy.triaxials as triaxials # PYCHOK exported

456 import pygeodesy.units as units # PYCHOK exported

457 import pygeodesy.unitsBase as unitsBase # PYCHOK INTERNAL

458 import pygeodesy.ups as ups # PYCHOK exported

459 import pygeodesy.utily as utily # PYCHOK exported

460 import pygeodesy.utm as utm # PYCHOK exported

461 import pygeodesy.utmups as utmups # PYCHOK exported

462 import pygeodesy.utmupsBase as utmupsBase # PYCHOK INTERNAL

463 import pygeodesy.vector2d as vector2d # PYCHOK exported

464 import pygeodesy.vector3d as vector3d # PYCHOK exported

465 import pygeodesy.vector3dBase as vector3dBase # PYCHOK INTERNAL

466 import pygeodesy.webmercator as webmercator # PYCHOK exported

467 import pygeodesy.wgrs as wgrs # PYCHOK exported

468

469 # lift all public classes, constants, functions, etc. but ONLY

470 # from the following modules ... (see also David Beazley's

471 # talk <https://DaBeaz.com/modulepackage/index.html>) ... BUT

472 # NOT modules ellipsoidal*, epsg, gars, geohash, spherical*,

473 # vector and wgrs ... in order keep those as modules ONLY

474 from pygeodesy.albers import * # PYCHOK __all__

475 from pygeodesy.azimuthal import * # PYCHOK __all__

476# from pygeodesy.auxilats import * # PYCHOK __(_)__

477 from pygeodesy.basics import * # PYCHOK __all__

478 from pygeodesy.booleans import * # PYCHOK __all__

479 from pygeodesy.cartesianBase import * # PYCHOK __(_)__ INTERNAL

480 from pygeodesy.clipy import * # PYCHOK __all__

481 from pygeodesy.constants import * # PYCHOK __all__

482 from pygeodesy.css import * # PYCHOK __all__

483 from pygeodesy.datums import * # PYCHOK __all__

484 from pygeodesy.deprecated import * # PYCHOK __all__ DEPRECATED

485 from pygeodesy.dms import * # PYCHOK __all__

486 from pygeodesy.ecef import * # PYCHOK __all__

487 from pygeodesy.elevations import * # PYCHOK __all__

488# from pygeodesy.ellipsoidalBase import * # PYCHOK __(_)__ INTERNAL

489# from pygeodesy.ellipsoidalBaseDI import * # PYCHOK __(_)__ INTERNAL

490# from pygeodesy.ellipsoidalExact import * # PYCHOK __(_)__

491# from pygeodesy.ellipsoidalGeodSolve import * # PYCHOK __(_)__

492# from pygeodesy.ellipsoidalKarney import * # PYCHOK __(_)__

493# from pygeodesy.ellipsoidalNvector import * # PYCHOK __(_)__

494 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily

495 from pygeodesy.ellipsoids import * # PYCHOK __all__

496 from pygeodesy.elliptic import * # PYCHOK __all__

497 from pygeodesy.epsg import Epsg, EPSGError # PYCHOK lazily

498 from pygeodesy.etm import * # PYCHOK __all__

499 from pygeodesy.errors import * # PYCHOK __all__

500 from pygeodesy.fmath import * # PYCHOK __all__

501 from pygeodesy.formy import * # PYCHOK __all__

502 from pygeodesy.frechet import * # PYCHOK __all__

503 from pygeodesy.fstats import * # PYCHOK __all__

504 from pygeodesy.fsums import * # PYCHOK __all__

505 from pygeodesy.gars import Garef, GARSError # PYCHOK lazily

506 from pygeodesy.geodesici import * # PYCHOK __all__

507 from pygeodesy.geodesicw import * # PYCHOK __all__

508 from pygeodesy.geodesicx import * # PYCHOK __all__

509 from pygeodesy.geodsolve import * # PYCHOK __all__

510 from pygeodesy.geohash import Geohash, GeohashError, \

511 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily

512 from pygeodesy.geoids import * # PYCHOK __all__

513 from pygeodesy.hausdorff import * # PYCHOK __all__

514 from pygeodesy.heights import * # PYCHOK __all__

515 from pygeodesy.internals import * # PYCHOK __all__

516 from pygeodesy.interns import * # PYCHOK __all__

517 from pygeodesy.iters import * # PYCHOK __all__

518 from pygeodesy.karney import * # PYCHOK __all__

519 from pygeodesy.ktm import * # PYCHOK __all__

520 from pygeodesy.latlonBase import * # PYCHOK __(_)__ INTERNAL

521 from pygeodesy.lazily import * # PYCHOK __all__

522 from pygeodesy.lcc import * # PYCHOK __all__

523 from pygeodesy.ltp import * # PYCHOK __all__

524 from pygeodesy.ltpTuples import * # PYCHOK __all__

525 from pygeodesy.mgrs import * # PYCHOK __all__

526 from pygeodesy.named import * # PYCHOK __all__

527 from pygeodesy.namedTuples import * # PYCHOK __all__

528# from pygeodesy.nvectorBase import * # PYCHOK __(_)__ INTERNAL

529 from pygeodesy.osgr import * # PYCHOK __all__

530 from pygeodesy.points import * # PYCHOK __all__

531 from pygeodesy.props import * # PYCHOK __all__

532 from pygeodesy.resections import * # PYCHOK __all__

533 from pygeodesy.rhumb import * # PYCHOK __all__

534 from pygeodesy.simplify import * # PYCHOK __all__

535# from pygeodesy.sphericalBase import * # PYCHOK __(_)__ INTERNAL

536# from pygeodesy.sphericalNvector import * # PYCHOK __(_)__

537# from pygeodesy.sphericalTrigonometry import * # PYCHOK __(_)__

538# from pygeodesy.solveBase import * # PYCHOK __(_)__ INTERNAL

539 from pygeodesy.streprs import * # PYCHOK __all__

540 from pygeodesy.trf import * # PYCHOK __all__

541 from pygeodesy.triaxials import * # PYCHOK __all__

542 from pygeodesy.units import * # PYCHOK __all__

543 from pygeodesy.unitsBase import * # PYCHOK __all__ Float, ...

544 from pygeodesy.ups import * # PYCHOK __all__

545 from pygeodesy.utily import * # PYCHOK __all__

546 from pygeodesy.utm import * # PYCHOK __all__

547 from pygeodesy.utmups import * # PYCHOK __all__

548# from pygeodesy.utmupsBase import * # PYCHOK __(_)__ INTERNAL

549 from pygeodesy.vector2d import * # PYCHOK __all__

550 from pygeodesy.vector3d import * # PYCHOK __all__

551 from pygeodesy.vector3dBase import * # PYCHOK __(_)__ INTERNAL

552 from pygeodesy.webmercator import * # PYCHOK __all__

553 from pygeodesy.wgrs import Georef, WGRSError # PYCHOK lazily

554

555 def _all(globalocals):

556 from pygeodesy.internals import _headof, _DOT_ # PYCHOK expected

557 from pygeodesy.interns import NN as _NN, _attribute_, _COMMASPACE_, \

558 _module_, _s_, _UNDER_ # PYCHOK expected

559 from pygeodesy.streprs import Fmt as _Fmt # PYCHOK expected

560 # collect all public module and attribute names and check

561 # that modules are imported from this package, 'pygeodesy'

562 # (but the latter only when not bundled with PyInstaller or

563 # Py2Exe, since the file-layout is different. Courtesy of

564 # GilderGeek<https://GitHub.com/mrJean1/PyGeodesy/issues/31>)

565 ns = list(lazily._ALL_INIT)

566# XXX ps = () if _isfrozen else set([_pygeodesy_] + __name__.split(_DOT_))

567 for mod, attrs in lazily._ALL_LAZY.enums():

568 mod = _headof(_headof(mod))

569 if mod not in globalocals:

570 t = _DOT_(_pygeodesy_, mod)

571 raise ImportError('missing %s%s: %s' % (_module_, _NN, t))

572 ns.append(mod)

573 # check that all other public attrs do exist

574 if attrs and isinstance(attrs, tuple):

575 attrs = lazily._ALL_ATTRS(attrs)

576 t = tuple(a for a in attrs if a not in globalocals)

577 if t:

578 s = _Fmt.SQUARE(_s_, len(t)) if len(t) > 1 else _NN

579 t = _COMMASPACE_.join(_DOT_(_pygeodesy_, mod, a) for a in t)

580 raise ImportError('missing %s%s: %s' % (_attribute_, s, t))

581 ns.extend(attrs)

582# XXX if ps: # check that mod is a _pygeodesy_ module

583# XXX m = globalocals[mod] # assert(_dunder_nameof(m) == mod)

584# XXX f = getattr(m, _dunder_file_, _NN)

585# XXX d = _os_path.dirname(_os_path.abspath(f)) if f else pygeodesy_abspath

586# XXX p = getattr(m, _dunder_package_, _NN) or _pygeodesy_

587# XXX if p not in ps or d != pygeodesy_abspath:

588# XXX t = '%s from %r' % (_DOT_(p, mod), f or p)

589# XXX raise ImportError('foreign %s: %s' % (_module_, t))

590 return tuple(set(ns)) # remove duplicates

591

592 __all__ = _all(globals()) # or locals()

593 else:

594 __all__ = ()

595 _init__all__ = False

596

597 from pygeodesy.internals import _version2, _DOT_ # PYCHOK import

598# from pygeodesy.interns import _DOT_ # from .internals

599__version__ = '24.07.07'

600# see setup.py for similar logic

601 version = _DOT_(*_version2(__version__, n=3))

602

603 del _DOT_, _lazy_import2, _os_path, _sys, _version2

604

605# **) MIT License

606#

607# Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.

608#

609# Permission is hereby granted, free of charge, to any person obtaining a

610# copy of this software and associated documentation files (the "Software"),

611# to deal in the Software without restriction, including without limitation

612# the rights to use, copy, modify, merge, publish, distribute, sublicense,

613# and/or sell copies of the Software, and to permit persons to whom the

614# Software is furnished to do so, subject to the following conditions:

615#

616# The above copyright notice and this permission notice shall be included

617# in all copies or substantial portions of the Software.

618#

619# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS

620# OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

621# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL

622# THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR

623# OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,

624# ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR

625# OTHER DEALINGS IN THE SOFTWARE.