Coverage for pygeodesy/__init__.py: 98%

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1 

2# -*- coding: utf-8 -*- 

3 

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

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

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

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

8coordinates. 

9 

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

112005-2024} and from several U{C++ classes<https://GeographicLib.SourceForge.io/C++/doc/annotated.html>} by I{Charles 

12F. F. Karney (C) 2008-2024} and published under the same U{MIT License<https://OpenSource.org/licenses/MIT>}**. 

13 

14There are four modules for ellipsoidal earth models, C{ellipsoidalExact}, C{-Karney}, C{-Vincenty} and C{-Nvector} 

15and two for spherical ones, C{sphericalTrigonometry} and C{-Nvector}. Each module provides a geodetic B{C{LatLon}} 

16and a geocentric B{C{Cartesian}} class with methods and functions to compute distance, surface area, perimeter, 

17forward and reverse azimuth, initial and final bearing, intermediate and nearest points, intersections of geodesic, 

18great circle and rhumb lines, circle intersections and secants, U{3-point resections 

19<https://WikiPedia.org/wiki/Position_resection_and_intersection>}, triangulation, trilateration (by intersection, 

20by overlap and in 3-D), conversions and unrolling, among other things. 

21 

22Also included are modules for conversions to and from U{Cassini-Soldner 

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

24U{ECEF<https://WikiPedia.org/wiki/ECEF>} (Earth-Centered, Earth-Fixed cartesian), U{UTM 

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

26and U{Exact<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1TransverseMercatorExact.html>}), 

27U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} (Universal Polar 

28Stereographic) and U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (Pseudo-Mercator) coordinates, 

29U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1MGRS.html>} (Military Grid Reference 

30System, UTM I{and} UPS) and U{OSGR<https://www.Movable-Type.co.UK/scripts/latlong-os-gridref.html>} (British 

31Ordinance Survery Grid Reference) grid references, U{TRF<http://ITRF.ENSG.IGN.Fr>} (Terrestrial Reference 

32Frames) and modules to encode and decode U{EPSG<https://EPSG.org>}, U{Geohashes 

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

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

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

36 

37Other modules provide U{Albers equal-area 

38<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant 

39<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AzimuthalEquidistant.html>} and other I{azimuthal} 

40projections, Lambert I{conformal conic} projections and positions, functions to clip paths or polygons of C{LatLon} 

41points using the U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>}, 

42U{Forster-Hormann-Popa<https://www.ScienceDirect.com/science/article/pii/S259014861930007X>}, 

43U{Greiner-Hormann<http://www.inf.USI.CH/hormann/papers/Greiner.1998.ECO.pdf>}, 

44U{Liang-Barsky<https://www.CS.Helsinki.FI/group/goa/viewing/leikkaus/intro.html>} and 

45U{Sutherland-Hodgman<https://WikiPedia.org/wiki/Sutherland-Hodgman_algorithm>} methods, 

46functions to U{simplify<https://Bost.Ocks.org/mike/simplify>} or linearize a path of C{LatLon} 

47points (or a U{NumPy array<https://docs.SciPy.org/doc/numpy/reference/generated/numpy.array.html>}), 

48including implementations of the U{Ramer-Douglas-Peucker<https://WikiPedia.org/wiki/ 

49Ramer-Douglas-Peucker_algorithm>}, the U{Visvalingam-Whyatt<https://hydra.Hull.ac.UK/ 

50resources/hull:8338>} and the U{Reumann-Witkam<https://psimpl.SourceForge.net/reumann-witkam.html>} 

51algorithms and modified versions of the former. 

52 

53Plus modules and classes to U{interpolate<https://docs.SciPy.org/doc/scipy/reference/interpolate.html>} the 

54L{height<pygeodesy.heights>} of C{LatLon} points and L{Geoid<pygeodesy.geoids>} models, compute various U{Fréchet 

55<https://WikiPedia.org/wiki/Frechet_distance>} or U{Hausdorff<https://WikiPedia.org/wiki/Hausdorff_distance>} 

56distances or perform I{boolean} operations between (composite) polygons. 

57 

58For further details see the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}, the descriptions of 

59U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>}, U{Vincenty 

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

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

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

63and I{Karney}'s Python U{geographiclib<https://PyPI.org/project/geographiclib>} and C++ U{GeographicLib 

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

65 

66Installation 

67============ 

68 

69To install C{pygeodesy}, type C{python[3] -m pip install pygeodesy} or C{python[3] -m easy_install 

70pygeodesy} in a terminal or command window. 

71 

72If the wheel C{pygeodesy-yy.m.d-py2.py3-none-any.whl} is missing in U{PyPI Download files<https:// 

73PyPI.org/project/pygeodesy/#files>}, download the file from U{GitHub/dist<https://GitHub.com/mrJean1/ 

74PyGeodesy/tree/master/dist>}. Install that with C{python[3] -m pip install <path-to-downloaded-wheel>} 

75and verify with C{python[3] -m pygeodesy}. 

76 

77Alternatively, download C{pygeodesy-yy.m.d.tar.gz} from U{PyPI<https://PyPI.org/project/pygeodesy>} 

78or U{GitHub<https://GitHub.com/mrJean1/PyGeodesy>}, C{unzip} the downloaded file, C{cd} to 

79directory C{pygeodesy-yy.m.d} and type C{python[3] setup.py install}. 

80 

81To run all C{pygeodesy} tests, type C{python[3] test/run.py} or type C{python[3] test/unitTestSuite.py} 

82before or after installation. 

83 

84Dependencies 

85============ 

86 

87Installation of I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>} 

88is optional, but required for module L{ellipsoidalKarney}, L{azimuthal} classes L{EquidistantKarney} 

89and L{GnomonicKarney} and the L{HeightIDWkarney} interpolator. 

90 

91Both U{numpy<https://PyPI.org/project/numpy>} and U{scipy<https://PyPI.org/project/scipy>} must be 

92installed for most L{Geoid...<pygeodesy.geoids>} and L{Height...<pygeodesy.heights>} interpolators, 

93except L{GeoidKarney} and the L{HeightIDW...<pygeodesy.heights>} ones. 

94 

95Functions and C{LatLon} methods L{circin6}, L{circum3}, L{circum4_} and L{soddy4} and functions 

96L{triaxum5} and L{trilaterate3d2} require U{numpy<https://PyPI.org/project/numpy>} to be installed, 

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

98 

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

100and 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 

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

103 

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

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

106env variable C{PYGEODESY_INTERSECTTOOL}. 

107 

108To compare C{MGRS} results from modules L{mgrs} and C{testMgrs} with I{Karney}'s C++ utility 

109U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html>}, the latter must 

110be executable and set with env variable C{PYGEODESY_GEOCONVERT}. 

111 

112Module L{rhumb.solve} needs I{Karney}'s C++ utility U{RhumbSolve 

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

114env variable C{PYGEODESY_RHUMBSOLVE} or with property L{Ellipsoid.rhumbsolve}. 

115 

116Documentation 

117============= 

118 

119In addition to the C{pygeodesy} package, the U{pygeodesy<https://PyPI.org/project/pygeodesy>} 

120U{distribution files<https://GitHub.com/mrJean1/PyGeodesy/tree/master/dist>} contain the tests, 

121the test results (on macOS only) and the complete U{documentation<https://mrJean1.GitHub.io/PyGeodesy>} 

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

123C{epydoc --html --no-private --no-source --name=pygeodesy --url=... -v pygeodesy}). 

124 

125Tests 

126===== 

127 

128The tests ran with Python 3.13.3 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0), 

129Python 3.12.7 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, 

130U{numpy<https://PyPI.org/project/numpy>} 2.1.0, U{scipy<https://PyPI.org/project/scipy>} 1.14.1, 

131U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3, 

132U{IntersectTool<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3 and 

133U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3), 

134Python 3.11.5 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, 

135U{numpy<https://PyPI.org/project/numpy>} 1.24.2 and U{scipy<https://PyPI.org/project/scipy>} 1.10.1), 

136Python 3.10.8 (with U{geographiclib <https://PyPI.org/project/geographiclib>} 2.0, 

137U{numpy<https://PyPI.org/project/numpy>} 1.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, 

138U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3, 

139U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3) and 

140Python 2.7.18 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.50, 

141U{numpy<https://PyPI.org/project/numpy>} 1.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2, 

142U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3, 

143U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3, 

144U{IntersectTool<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3 and 

145U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3), all in 64-bit on 

146macOS 15.4.1 Sequoia. 

147 

148All tests ran with and without C{lazy import} for Python 3 and with command line option C{-W default} and 

149env variable C{PYGEODESY_WARNINGS=on} for all Python versions. The results of those tests are included in 

150the distribution files. 

151 

152Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.6.1 using Python 

1533.13.3, 3.12.7, 3.11.5 and 3.10.8. The complete coverage report in HTML and a PDF summary are included in 

154the distribution files. 

155 

156Python 3.13.3, 3.12.7, 3.11.5 and 3.10.8 run on Apple M4 Si (C{arm64}), I{natively}. Python 2.7.18 runs 

157on Intel (C{x86_64}) or Intel I{emulation} ("C{arm64_x86_64}", see function L{machine<pygeodesy.machine>}). 

158 

159The tests also ran with Python 3.13.3 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on 

160U{Debian 12<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only, with Python 3.12.5 (and 

161U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on U{Windows 2019Server 

162<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64-bit only and with Python 2.7.18 (and U{geographiclib 

163<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} 

164in 64- and 32-bit. 

165 

166A single-File and single-Directory application with C{pygeodesy} has been bundled using U{PyInstaller 

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

168 

169Previously, the tests were run with Python 3.13.0-2, 3.12.0-6, 3.11.2-4, 3.10.1-7, 3.9.6, 3.9.1, 3.8.7, 3.7.1, 2.7.15, 

170U{PyPy<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 

1712.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>} 

1721.16.3, 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, 

1731.5.2 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, 

1743.7.2-6, 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, 

1751.16.5, 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 

176<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) 

177and U{Intel-Python<https://software.Intel.com/en-us/distribution-for-python>} 3.5.3 (and U{numpy 

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

179Big 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 

18010.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with 

181geographiclib 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 

182iPhone12, with U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3 

183on iPad4, all in 64-bit only and with 32-bit Python 2.7.14 on Windows Server 2012R2, Windows 10 Pro and with 

18432-bit Python 2.6.6 on Windows XP SP3. 

185 

186Notes 

187===== 

188 

189All Python source code has been statically U{checked<https://GitHub.com/ActiveState/code/tree/master/recipes/ 

190Python/546532_PyChecker_postprocessor>} with U{PyChecker<https://PyPI.org/project/pychecker>}, U{PyFlakes 

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

192U{McCabe<https://PyPI.org/project/mccabe>} using Python 2.7.18 and with U{Flake8<https://PyPI.org/project/flake8>} 

193using Python 3.11.5, both in 64-bit on macOS 15.4.1 Sequoia. 

194 

195For a summary of all I{Karney}-based functionality in C{pygeodesy}, see module U{karney 

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

197 

198In 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 

199characters and if so, I{not} C{unicode}. 

200 

201Env variables 

202============= 

203 

204The following environment variables are observed by C{pygeodesy}: 

205 

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

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

208 - C{PYGEODESY_FSUM_F2PRODUCT} - see module L{fsums<pygeodesy.fsums>} and method L{f2product<pygeodesy.Fsum.f2product>}. 

209 - C{PYGEODESY_FSUM_NONFINITES} - see module L{fsums<pygeodesy.fsums>} and method L{nonfinites<pygeodesy.Fsum.nonfinites>}. 

210 - C{PYGEODESY_FSUM_RESIDUAL} - see module L{fsums<pygeodesy.fsums>} and method L{RESIDUAL<pygeodesy.Fsum.RESIDUAL>}. 

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

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

213 - C{PYGEODESY_INTERSECTTOOL} - see module L{geodesici<pygeodesy.geodesici>}. 

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

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

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

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

218 

219and these to specify standard or I{named} C{repr}esentations: 

220 

221 - C{PYGEODESY_AZIMUTH_STD_REPR} - see method L{Azimuth<pygeodesy.Azimuth>}C{.__repr__}. 

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

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

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

225 - C{PYGEODESY_EPOCH_STD_REPR} - see method L{Float<pygeodesy.Epoch>}C{.__repr__}. 

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

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

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

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

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

231 

232plus during development: 

233 

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

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

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

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

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

239 

240and: 

241 

242 - C{PYGEODESY_INIT__ALL__} - Set env variable C{PYGEODESY_INIT__ALL__} to anything other than C{"__all__"} to avoid 

243 importing all C{pygeodesy} modules unnecessarily (in Python 2 or with C{PYGEODESY_LAZY_IMPORT} turned off in Python 

244 3). However, to import a C{pygeodesy} item, the item name must be qualified with the C{module} name, for example 

245 C{ from pygeodesy.ellipsoidalExact import LatLon } or C{ from pygeodesy.deprecated import collins } 

246 

247License 

248======= 

249 

250**) U{Copyright (C) 2016-2025 -- mrJean1 at Gmail -- All Rights Reserved.<https://OpenSource.org/licenses/MIT>} 

251 

252C{Permission is hereby granted, free of charge, to any person obtaining a copy of this software 

253and associated documentation files (the "Software"), to deal in the Software without restriction, 

254including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, 

255and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, 

256subject to the following conditions:} 

257 

258C{The above copyright notice and this permission notice shall be included in all copies or substantial 

259portions of the Software.} 

260 

261C{THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT 

262NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. 

263IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, 

264WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE 

265SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.} 

266 

267@newfield example: Example, Examples 

268 

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

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

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

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

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

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

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

276 

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

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

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

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

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

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

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

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

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

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

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

288 

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

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

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

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

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

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

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

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

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

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

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

300 

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

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

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

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

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

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

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

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

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

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

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

312 

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

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

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

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

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

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

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

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

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

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

323 

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

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

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

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

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

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

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

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

332 

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

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

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

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

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

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

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

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

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

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

343 

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

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

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

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

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

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

350 

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

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

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

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

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

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

357 

358@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. 

359 

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

361 

362@var version: Normalized C{pygeodesy} version (C{str}). 

363''' 

364 

365import os.path as _os_path 

366import sys as _sys 

367 

368_init__all__ = True 

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

370_isfrozen = getattr(_sys, 'frozen', False) 

371pygeodesy_abspath = _os_path.dirname(_os_path.abspath(__file__)) # _sys._MEIPASS + '/pygeodesy' 

372_pygeodesy_ = __package__ or _os_path.basename(pygeodesy_abspath) 

373 

374if _isfrozen: # avoid lazy import 

375 _lazy_import2 = None 

376else: 

377 # setting __path__ should ... 

378 __path__ = [pygeodesy_abspath] 

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

380 import pygeodesy.lazily as _ 

381 except ImportError: # ... if it doesn't, extend _sys.path to include 

382 # this very directory such that all public and private sub-modules 

383 # can be imported (by epydoc, checked by PyChecker, etc.) 

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

385 

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

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

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

389 

390 except (ImportError, NotImplementedError): # LazyImportError 

391 _lazy_import2 = None 

392 

393if _init__all__ and not _lazy_import2: # import and set __all__ 

394 

395 # import all public modules and export as such 

396 import pygeodesy.albers as albers # PYCHOK exported 

397 import pygeodesy.auxilats as auxilats # PYCHOK exported 

398 import pygeodesy.azimuthal as azimuthal # PYCHOK exported 

399 import pygeodesy.basics as basics # PYCHOK exported 

400 import pygeodesy.booleans as booleans # PYCHOK exported 

401 import pygeodesy.cartesianBase as cartesianBase # PYCHOK INTERNAL 

402 import pygeodesy.clipy as clipy # PYCHOK exported 

403 import pygeodesy.constants as constants # PYCHOK exported 

404 import pygeodesy.css as css # PYCHOK exported 

405 import pygeodesy.datums as datums # PYCHOK exported 

406 import pygeodesy.deprecated as deprecated # PYCHOK exported 

407 import pygeodesy.dms as dms # PYCHOK exported 

408 import pygeodesy.ecef as ecef # PYCHOK exported 

409 import pygeodesy.elevations as elevations # PYCHOK exported 

410 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK INTERNAL 

411 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK INTERNAL 

412 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported 

413 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported 

414 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported 

415 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported 

416 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported 

417 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported 

418 import pygeodesy.elliptic as elliptic # PYCHOK exported 

419 import pygeodesy.epsg as epsg # PYCHOK exported 

420 import pygeodesy.etm as etm # PYCHOK exported 

421 import pygeodesy.errors as errors # PYCHOK exported 

422 import pygeodesy.fmath as fmath # PYCHOK exported 

423 import pygeodesy.formy as formy # PYCHOK exported 

424 import pygeodesy.frechet as frechet # PYCHOK exported 

425 import pygeodesy.fstats as fstats # PYCHOK exported 

426 import pygeodesy.fsums as fsums # PYCHOK exported 

427 import pygeodesy.gars as gars # PYCHOK exported 

428 import pygeodesy.geodesici as geodesici # PYCHOK exported 

429 import pygeodesy.geodesicw as geodesicw # PYCHOK exported 

430 import pygeodesy.geodesicx as geodesicx # PYCHOK exported 

431 import pygeodesy.geodsolve as geodsolve # PYCHOK exported 

432 import pygeodesy.geohash as geohash # PYCHOK exported 

433 import pygeodesy.geoids as geoids # PYCHOK exported 

434 import pygeodesy.hausdorff as hausdorff # PYCHOK exported 

435 import pygeodesy.heights as heights # PYCHOK exported 

436 import pygeodesy.internals as internals # PYCHOK exported 

437 import pygeodesy.interns as interns # PYCHOK exported 

438 import pygeodesy.iters as iters # PYCHOK exported 

439 import pygeodesy.karney as karney # PYCHOK exported 

440 import pygeodesy.ktm as ktm # PYCHOK exported 

441 import pygeodesy.latlonBase as latlonBase # PYCHOK INTERNAL 

442 import pygeodesy.lazily as lazily # PYCHOK exported 

443 import pygeodesy.lcc as lcc # PYCHOK exported 

444 import pygeodesy.ltp as ltp # PYCHOK exported 

445 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported 

446 import pygeodesy.mgrs as mgrs # PYCHOK exported 

447 import pygeodesy.named as named # PYCHOK exported 

448 import pygeodesy.namedTuples as namedTuples # PYCHOK exported 

449 import pygeodesy.nvectorBase as nvectorBase # PYCHOK INTERNAL 

450 import pygeodesy.osgr as osgr # PYCHOK exported 

451 import pygeodesy.points as points # PYCHOK exported 

452 import pygeodesy.props as props # PYCHOK exported 

453 import pygeodesy.resections as resections # PYCHOK exported 

454 import pygeodesy.rhumb as rhumb # PYCHOK exported 

455 import pygeodesy.simplify as simplify # PYCHOK exported 

456 import pygeodesy.sphericalBase as sphericalBase # PYCHOK INTERNAL 

457 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported 

458 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported 

459 import pygeodesy.solveBase as solveBase # PYCHOK exported 

460 import pygeodesy.streprs as streprs # PYCHOK exported 

461 import pygeodesy.trf as trf # PYCHOK exported 

462 import pygeodesy.triaxials as triaxials # PYCHOK exported 

463 import pygeodesy.units as units # PYCHOK exported 

464 import pygeodesy.unitsBase as unitsBase # PYCHOK INTERNAL 

465 import pygeodesy.ups as ups # PYCHOK exported 

466 import pygeodesy.utily as utily # PYCHOK exported 

467 import pygeodesy.utm as utm # PYCHOK exported 

468 import pygeodesy.utmups as utmups # PYCHOK exported 

469 import pygeodesy.utmupsBase as utmupsBase # PYCHOK INTERNAL 

470 import pygeodesy.vector2d as vector2d # PYCHOK exported 

471 import pygeodesy.vector3d as vector3d # PYCHOK exported 

472 import pygeodesy.vector3dBase as vector3dBase # PYCHOK INTERNAL 

473 import pygeodesy.webmercator as webmercator # PYCHOK exported 

474 import pygeodesy.wgrs as wgrs # PYCHOK exported 

475 

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

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

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

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

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

481 from pygeodesy.albers import * # PYCHOK __all__ 

482 from pygeodesy.azimuthal import * # PYCHOK __all__ 

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

484 from pygeodesy.basics import * # PYCHOK __all__ 

485 from pygeodesy.booleans import * # PYCHOK __all__ 

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

487 from pygeodesy.clipy import * # PYCHOK __all__ 

488 from pygeodesy.constants import * # PYCHOK __all__ 

489 from pygeodesy.css import * # PYCHOK __all__ 

490 from pygeodesy.datums import * # PYCHOK __all__ 

491 from pygeodesy.deprecated import * # PYCHOK __all__ DEPRECATED 

492 from pygeodesy.dms import * # PYCHOK __all__ 

493 from pygeodesy.ecef import * # PYCHOK __all__ 

494 from pygeodesy.elevations import * # PYCHOK __all__ 

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

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

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

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

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

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

501 from pygeodesy.ellipsoidalVincenty import * # PYCHOK __(_)__ 

502 from pygeodesy.ellipsoids import * # PYCHOK __all__ 

503 from pygeodesy.elliptic import * # PYCHOK __all__ 

504 from pygeodesy.epsg import * # PYCHOK __all__ 

505 from pygeodesy.etm import * # PYCHOK __all__ 

506 from pygeodesy.errors import * # PYCHOK __all__ 

507 from pygeodesy.fmath import * # PYCHOK __all__ 

508 from pygeodesy.formy import * # PYCHOK __all__ 

509 from pygeodesy.frechet import * # PYCHOK __all__ 

510 from pygeodesy.fstats import * # PYCHOK __all__ 

511 from pygeodesy.fsums import * # PYCHOK __all__ 

512 from pygeodesy.gars import * # PYCHOK __all__ 

513 from pygeodesy.geodesici import * # PYCHOK __all__ 

514 from pygeodesy.geodesicw import * # PYCHOK __all__ 

515 from pygeodesy.geodesicx import * # PYCHOK __all__ 

516 from pygeodesy.geodsolve import * # PYCHOK __all__ 

517 from pygeodesy.geohash import * # PYCHOK __all__ 

518 from pygeodesy.geoids import * # PYCHOK __all__ 

519 from pygeodesy.hausdorff import * # PYCHOK __all__ 

520 from pygeodesy.heights import * # PYCHOK __all__ 

521 from pygeodesy.internals import * # PYCHOK __all__ 

522 from pygeodesy.interns import * # PYCHOK __all__ 

523 from pygeodesy.iters import * # PYCHOK __all__ 

524 from pygeodesy.karney import * # PYCHOK __all__ 

525 from pygeodesy.ktm import * # PYCHOK __all__ 

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

527 from pygeodesy.lazily import * # PYCHOK __all__ 

528 from pygeodesy.lcc import * # PYCHOK __all__ 

529 from pygeodesy.ltp import * # PYCHOK __all__ 

530 from pygeodesy.ltpTuples import * # PYCHOK __all__ 

531 from pygeodesy.mgrs import * # PYCHOK __all__ 

532 from pygeodesy.named import * # PYCHOK __all__ 

533 from pygeodesy.namedTuples import * # PYCHOK __all__ 

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

535 from pygeodesy.osgr import * # PYCHOK __all__ 

536 from pygeodesy.points import * # PYCHOK __all__ 

537 from pygeodesy.props import * # PYCHOK __all__ 

538 from pygeodesy.resections import * # PYCHOK __all__ 

539 from pygeodesy.rhumb import * # PYCHOK __all__ 

540 from pygeodesy.simplify import * # PYCHOK __all__ 

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

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

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

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

545 from pygeodesy.streprs import * # PYCHOK __all__ 

546 from pygeodesy.trf import * # PYCHOK __all__ 

547 from pygeodesy.triaxials import * # PYCHOK __all__ 

548 from pygeodesy.units import * # PYCHOK __all__ 

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

550 from pygeodesy.ups import * # PYCHOK __all__ 

551 from pygeodesy.utily import * # PYCHOK __all__ 

552 from pygeodesy.utm import * # PYCHOK __all__ 

553 from pygeodesy.utmups import * # PYCHOK __all__ 

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

555 from pygeodesy.vector2d import * # PYCHOK __all__ 

556 from pygeodesy.vector3d import * # PYCHOK __all__ 

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

558 from pygeodesy.webmercator import * # PYCHOK __all__ 

559 from pygeodesy.wgrs import * # PYCHOK __all__ 

560 

561 def _all(globalocals): 

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

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

564 _module_, _s_, _UNDER_ # PYCHOK expected 

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

566 # collect all public module and attribute names and check 

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

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

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

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

571 ns = list(lazily._ALL_INIT) 

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

573 for mod, attrs in lazily._all_enums(): 

574 mod = _headof(_headof(mod)) 

575 if mod not in globalocals: 

576 t = _DOT_(_pygeodesy_, mod) 

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

578 ns.append(mod) 

579 # check that all other public attrs do exist 

580 if attrs and isinstance(attrs, tuple): 

581 attrs = lazily._ALL_ATTRS(attrs) 

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

583 if t: 

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

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

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

587 ns.extend(attrs) 

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

589# XXX m = globalocals[mod] # assert(typename(m) == mod) 

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

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

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

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

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

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

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

597 

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

599else: 

600 __all__ = () 

601 _init__all__ = False 

602 

603from pygeodesy.internals import _version2, _DOT_ # PYCHOK import 

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

605__version__ = '25.04.25' 

606# see setup.py for similar logic 

607version = _DOT_(*_version2(__version__, n=3)) 

608 

609del _DOT_, _lazy_import2, _os_path, _sys, _version2 

610 

611# **) MIT License 

612# 

613# Copyright (C) 2016-2025 -- mrJean1 at Gmail -- All Rights Reserved. 

614# 

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

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

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

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

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

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

621# 

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

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

624# 

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

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

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

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

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

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

631# OTHER DEALINGS IN THE SOFTWARE.