Coverage for pygeodesy/__init__.py: 12%

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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 trigonometric, vector-based, exact, elliptic, iterative and approximate 

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

7cartesian) coordinates. 

8 

9Transcoded from U{JavaScript originals<https://GitHub.com/ChrisVeness/geodesy>} by I{Chris Veness 

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

11by I{Charles F.F. Karney (C) 2008-2022} and published under the same U{MIT License 

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

13 

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

15C{-Vincenty} and C{-Nvector} and two for spherical ones, C{sphericalTrigonometry} 

16and C{-Nvector}. Each module provides a geodetic B{C{LatLon}} and a geocentric 

17B{C{Cartesian}} class with methods and functions to compute distance, surface area, 

18perimeter, initial and final bearing, intermediate and nearest points, circle intersections 

19and secants, path intersections, 3-point resections, rhumb and rhumb lines, trilateration (by 

20intersection, by overlap and in 3d), conversions and unrolling, among other things. For more 

21information and further details see the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}, 

22the descriptions of U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>}, 

23U{Vincenty<https://www.Movable-Type.co.UK/scripts/latlong-vincenty.html>} and 

24U{Vector-based<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>} geodesy, 

25the original U{JavaScript source<https://GitHub.com/ChrisVeness/geodesy>} or 

26U{docs<https://www.Movable-Type.co.UK/scripts/geodesy/docs>} and I{Karney}'s Python 

27U{geographiclib<https://PyPI.org/project/geographiclib>} and U{C++ GeographicLib 

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

29 

30Also included are modules for conversions to and from U{Cassini-Soldner 

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

32U{ECEF<https://WikiPedia.org/wiki/ECEF>} (Earth-Centered, Earth-Fixed cartesian), U{UTM 

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

34and U{Exact<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1TransverseMercatorExact.html>}), 

35U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} (Universal Polar 

36Stereographic) and U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (Pseudo-Mercator) coordinates, 

37U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1MGRS.html>} (Military Grid Reference 

38System, UTM I{and} UPS) and U{OSGR<https://www.Movable-Type.co.UK/scripts/latlong-os-gridref.html>} (British 

39Ordinance Survery Grid Reference) grid references, U{TRF<http://ITRF.ENSG.IGN.Fr>} (Terrestrial Reference 

40Frames) and modules to encode and decode U{EPSG<https://EPSG.org>}, U{Geohashes 

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

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

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

44 

45Other modules provide U{Albers equal-area<https://GeographicLib.SourceForge.io/ 

46html/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant 

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

48and other I{azimuthal} projections, Lambert I{conformal conic} projections and 

49positions, functions to clip paths or polygons of C{LatLon} points using the 

50U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>}, 

51U{Forster-Hormann-Popa<https://www.ScienceDirect.com/science/article/pii/S259014861930007X>}, 

52U{Greiner-Hormann<http://www.inf.USI.CH/hormann/papers/Greiner.1998.ECO.pdf>}, 

53U{Liang-Barsky<https://www.CS.Helsinki.FI/group/goa/viewing/leikkaus/intro.html>} and 

54U{Sutherland-Hodgman<https://WikiPedia.org/wiki/Sutherland-Hodgman_algorithm>} methods, 

55functions to U{simplify<https://Bost.Ocks.org/mike/simplify>} or linearize a path of C{LatLon} 

56points (or a U{NumPy array<https://docs.SciPy.org/doc/numpy/reference/generated/numpy.array.html>}), 

57including implementations of the U{Ramer-Douglas-Peucker<https://WikiPedia.org/wiki/ 

58Ramer-Douglas-Peucker_algorithm>}, the U{Visvalingam-Whyatt<https://hydra.Hull.ac.UK/ 

59resources/hull:8338>} and the U{Reumann-Witkam<https://psimpl.SourceForge.net/reumann-witkam.html>} 

60algorithms and modified versions of the former. Other classes provide I{boolean} operations between 

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

62the L{height<pygeodesy.heights>} of C{LatLon} points and L{Geoid<pygeodesy.geoids>} models or 

63compute various U{Fréchet<https://WikiPedia.org/wiki/Frechet_distance>} or U{Hausdorff 

64<https://WikiPedia.org/wiki/Hausdorff_distance>} distances. 

65 

66Installation 

67============ 

68 

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

70PyGeodesy} in a terminal or command window. 

71 

72Alternatively, download C{PyGeodesy-yy.m.d.zip} from U{PyPI<https://PyPI.org/project/PyGeodesy>} 

73or U{GitHub<https://GitHub.com/mrJean1/PyGeodesy>}, C{unzip} the downloaded file, C{cd} to 

74directory C{Pygeodesy-yy.m.d} and type C{python[3] setup.py install}. 

75 

76To run all PyGeodesy tests, type C{python[3] setup.py test} or type C{python[3] 

77test/run.py} or type C{python[3] test/unitTestSuite.py} before or after installation. 

78 

79Dependencies 

80============ 

81 

82Installation of I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>} 

83is optional, but required to use modules L{ellipsoidalKarney} and L{css}, L{azimuthal} classes 

84L{EquidistantKarney} and L{GnomonicKarney} and the L{HeightIDWkarney} interpolator. 

85 

86Both U{numpy<https://PyPI.org/project/numpy>} and U{scipy<https://PyPI.org/project/scipy>} must be 

87installed for most L{Geoid...<pygeodesy.geoids>} and L{Height...<pygeodesy.heights>} interpolators, 

88except L{GeoidKarney} and the L{HeightIDW...<pygeodesy.heights>} ones. 

89 

90Functions and C{LatLon} methods L{circin6}, L{circum3}, L{circum4_}, L{soddy4}, L{trilaterate3d2} 

91and C{trilaterate5} require U{numpy<https://PyPI.org/project/numpy>}. 

92 

93Modules L{ellipsoidalGeodSolve} and L{geodsolve} and L{azimuthal} classes L{EquidistantGeodSolve} 

94and L{GnomonicGeodSolve} depend on I{Karney}'s C++ utility U{GeodSolve 

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

96env variable C{PYGEODESY_GEODSOLVE}. 

97 

98To compare C{MGRS} results from modules L{mgrs} and C{testMgrs} with I{Karney}'s C++ utility 

99U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html>}, the latter must 

100be executable and set with env variable C{PYGEODESY_GEOCONVERT}. 

101 

102Module L{rhumbsolve} needs I{Karney}'s C++ utility U{RhumbSolve 

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

104env variable C{PYGEODESY_RHUMBSOLVE}. 

105 

106Documentation 

107============= 

108 

109In addition to the C{pygeodesy} package, the U{PyGeodesy<https://PyPI.org/project/PyGeodesy>} 

110U{distribution files<https://GitHub.com/mrJean1/PyGeodesy/tree/master/dist>} contain the tests, 

111the test results (on macOS only) and the complete U{documentation<https://mrJean1.GitHub.io/PyGeodesy>} 

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

113C{epydoc --html --no-private --no-source --name=PyGeodesy --url=... -v pygeodesy}). 

114 

115Tests 

116===== 

117 

118The tests ran with Python 3.11.3 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, U{numpy 

119<https://PyPI.org/project/numpy>} 1.24.2 and U{scipy<https://PyPI.org/project/scipy>} 1.10.1), Python 3.10.8 

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

1211.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, U{GeoConvert 

122<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51, U{GeodSolve 

123<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51 and U{RhumbSolve 

124<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51), Python 3.9.6, Python 3.8.10 (with 

125U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>} 1.19.2 

126and U{scipy<https://PyPI.org/project/scipy>} 1.5.2) and Python 2.7.18 (with U{geographiclib 

127<https://PyPI.org/project/geographiclib>} 1.50, U{numpy<https://PyPI.org/project/numpy>} 1.16.6, U{scipy 

128<https://PyPI.org/project/scipy>} 1.2.2, U{GeoConvert<https://GeographicLib.SourceForge.io/html/utilities.html>} 

1291.51, U{GeodSolve<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51 and U{RhumbSolve 

130<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51), all on macOS 13.2.1 Venture and in 64-bit only. 

131 

132All tests ran with and without C{lazy import} for Python 3 and with command line option C{-W default} and 

133env variable C{PYGEODESY_WARNINGS=on} for all Python versions. The results of those tests are included in 

134the distribution files. 

135 

136Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.2.2 using only Python 3.11.3 

137and 3.10.8. The complete coverage report in HTML and a PDF summary are included in the distribution files. 

138 

139Python 3.11.3, 3.10.8 and 3.9.6 ran on Apple M1 Silicon (C{arm64}), I{natively}. Python 3.8.10 and 2.7.18 ran 

140on Intel (C{x86_64}) or Intel I{emulation} ("C{arm64_x86_64}", see function L{pygeodesy.machine}). 

141 

142The tests also ran with Python 3.11.3 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on 

143U{Debian 11<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only and with Python 3.11.3, 

1443.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10 

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

146 

147A single-File and single-Directory application with C{pygeodesy} has been bundled using U{PyInstaller 

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

149 

150Previously, the tests were run with Python 3.11.2, 3.10.1-7, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy 

151<https://PyPy.org>}7.3.1 (Python 3.6.9) and U{PyPy<https://PyPy.org>} 7.1.1 (Python 2.7.13) (and U{geographiclib 

152<https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>} 1.16.3, 1.16.4, 1.16.6, 

1531.19.0, 1.19.4, 1.19.5 or 1.22.4 and U{scipy<https://PyPI.org/project/scipy>} 1.2.1, 1.4.1, 1.5.2 or 1.8.1) on 

154U{Ubuntu 16.04<https://Travis-CI.com/mrJean1/PyGeodesy>}, with Python 3.10.0-1, 3.9.0-5, 3.8.0-6, 3.7.2-6, 3.7.0, 

1553.6.2-5, 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, 1.16.5, 1.16.2, 

1561.15.2, 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 

157<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) 

158and U{Intel-Python<https://software.Intel.com/en-us/distribution-for-python>} 3.5.3 (and U{numpy 

159<https://PyPI.org/project/numpy>} 1.11.3) on macOS 13.0.0-1 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1 Big Sur (aka 

16010.16), 10.15.3, 10.15.5-7 Catalina, 10.14 Mojave, 10.13.6 High Sierra and 10.12 Sierra, MacOS X 10.11 El Capitan 

161and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with geographiclib 

1621.50 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 iPhone12, with 

163U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3 on iPad4, all in 

16464-bit only and with 32-bit Python 2.7.14 on Windows Server 2012R2, Windows 10 Pro and with 32-bit Python 2.6.6 

165on Windows XP SP3. 

166 

167Notes 

168===== 

169 

170All Python source code has been statically U{checked<https://GitHub.com/ActiveState/code/tree/master/recipes/ 

171Python/546532_PyChecker_postprocessor>} with U{PyChecker<https://PyPI.org/project/pychecker>}, U{PyFlakes 

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

173U{McCabe<https://PyPI.org/project/mccabe>} using Python 2.7.18 and with U{Flake8<https://PyPI.org/project/flake8>} 

174using Python 3.11.3, both in 64-bit on macOS 13.2.1 Ventura. 

175 

176For a summary of all I{Karney}-based functionality in C{pygeodesy}, see module U{karney 

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

178 

179In 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 

180characters and if so, I{not} C{unicode}. 

181 

182Env variables 

183============= 

184 

185The following environment variables are observed by C{PyGeodesy}: 

186 

187 - C{PYGEODESY_EXCEPTION_CHAINING} - see module L{pygeodesy.errors}. 

188 - C{PYGEODESY_FSUM_PARTIALS} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}. 

189 - C{PYGEODESY_FSUM_RESIDUAL} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}. 

190 - C{PYGEODESY_GEOCONVERT} - see module L{pygeodesy.mgrs}. 

191 - C{PYGEODESY_GEODSOLVE} - see module L{pygeodesy.geodsolve}. 

192 - C{PYGEODESY_LAZY_IMPORT} - see module L{pygeodesy.lazily} and variable L{pygeodesy.isLazy}. 

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

194 - C{PYGEODESY_RHUMBSOLVE} - see module L{pygeodesy.rhumbsolve}. 

195 - C{PYGEODESY_UPS_POLES} - see modules L{pygeodesy.ups} and L{pygeodesy.mgrs}. 

196 

197and these to control standard or I{named} C{repr}esentations: 

198 

199 - C{PYGEODESY_BEARING_STD_REPR} - see method L{pygeodesy.Bearing}C{.__repr__}. 

200 - C{PYGEODESY_BOOL_STD_REPR} - see method L{pygeodesy.Bool}C{.__repr__}. 

201 - C{PYGEODESY_DEGREES_STD_REPR} - see method L{pygeodesy.Degrees}C{.__repr__}. 

202 - C{PYGEODESY_FLOAT_STD_REPR} - see method L{pygeodesy.Float}C{.__repr__}. 

203 - C{PYGEODESY_INT_STD_REPR} - see method L{pygeodesy.Int}C{.__repr__}. 

204 - C{PYGEODESY_METER_STD_REPR} - see method L{pygeodesy.Meter}C{.__repr__}. 

205 - C{PYGEODESY_RADIANS_STD_REPR} - see method L{pygeodesy.Radians}C{.__repr__}. 

206 - C{PYGEODESY_STR_STD_REPR} - see method L{pygeodesy.Str}C{.__repr__}. 

207 

208plus during development: 

209 

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

211 - C{PYGEODESY_GEOGRAPHICLIB} - see module L{pygeodesy.karney}. 

212 - C{PYGEODESY_WARNINGS} - see module L{pygeodesy.props} and function L{pygeodesy.DeprecationWarnings}. 

213 - C{PYGEODESY_XPACKAGES} - see module L{pygeodesy.basics}. 

214 - C{PYTHONDEVMODE} - see modules L{pygeodesy.errors} and L{pygeodesy.props}. 

215 

216and: 

217 

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

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

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

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

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

223 

224License 

225======= 

226 

227**) U{Copyright (C) 2016-2023 -- mrJean1 at Gmail -- All Rights Reserved. 

228<https://OpenSource.org/licenses/MIT>} 

229 

230C{Permission is hereby granted, free of charge, to any person obtaining a 

231copy of this software and associated documentation files (the "Software"), 

232to deal in the Software without restriction, including without limitation 

233the rights to use, copy, modify, merge, publish, distribute, sublicense, 

234and/or sell copies of the Software, and to permit persons to whom the 

235Software is furnished to do so, subject to the following conditions:} 

236 

237C{The above copyright notice and this permission notice shall be included 

238in all copies or substantial portions of the Software.} 

239 

240C{THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 

241OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 

242FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 

243THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR 

244OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, 

245ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR 

246OTHER DEALINGS IN THE SOFTWARE.} 

247 

248@newfield example: Example, Examples 

249 

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

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

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

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

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

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

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

257 

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

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

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

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

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

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

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

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

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

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

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

269 

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

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

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

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

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

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

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

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

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

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

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

281 

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

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

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

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

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

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

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

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

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

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

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

293 

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

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

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

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

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

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

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

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

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

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

304 

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

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

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

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

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

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

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

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

313 

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

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

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

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

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

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

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

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

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

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

324 

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

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

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

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

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

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

331 

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

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

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

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

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

337 

338@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. 

339 

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

341 

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

343''' 

344 

345from os.path import abspath, basename, dirname 

346import sys 

347 

348_init__all__ = True 

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

350_isfrozen = getattr(sys, 'frozen', False) 

351pygeodesy_abspath = dirname(abspath(__file__)) # sys._MEIPASS + '/pygeodesy' 

352_pygeodesy_ = __package__ or basename(pygeodesy_abspath) 

353 

354if _isfrozen: # avoid lazy import 

355 _lazy_import2 = None 

356else: 

357 # setting __path__ should ... 

358 __path__ = [pygeodesy_abspath] 

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

360 import pygeodesy.lazily as _ 

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

362 # sys.path to include this very directory such 

363 # that all public and private sub-modules can 

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

365 sys.path.insert(0, pygeodesy_abspath) # XXX __path__[0] 

366 

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

368 from pygeodesy.lazily import _a_l_l_, _getenv, LazyImportError, \ 

369 _lazy_import2 # PYCHOK expected 

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

371 _init__all__ = _getenv('PYGEODESY_INIT__ALL__', _a_l_l_) == _a_l_l_ 

372 del _a_l_l_, _getenv 

373 

374 except (ImportError, LazyImportError, NotImplementedError): 

375 _lazy_import2 = None 

376 

377if _init__all__ and not _lazy_import2: # import and set __all__ 

378 

379 # import all public modules and export as such 

380 import pygeodesy.albers as albers # PYCHOK exported 

381 import pygeodesy.azimuthal as azimuthal # PYCHOK exported 

382 import pygeodesy.deprecated.bases as bases # PYCHOK DEPRECATED 

383 import pygeodesy.basics as basics # PYCHOK exported 

384 import pygeodesy.booleans as booleans # PYCHOK exported 

385 import pygeodesy.cartesianBase as cartesianBase # PYCHOK exported 

386 import pygeodesy.clipy as clipy # PYCHOK exported 

387 import pygeodesy.constants as constants # PYCHOK exported 

388 import pygeodesy.css as css # PYCHOK exported 

389 import pygeodesy.deprecated.datum as datum # PYCHOK DEPRECATED 

390 import pygeodesy.datums as datums # PYCHOK exported 

391 import pygeodesy.deprecated as deprecated # PYCHOK exported 

392 import pygeodesy.dms as dms # PYCHOK exported 

393 import pygeodesy.ecef as ecef # PYCHOK exported 

394 import pygeodesy.elevations as elevations # PYCHOK exported 

395 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK exported 

396 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK exported 

397 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported 

398 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported 

399 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported 

400 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported 

401 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported 

402 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported 

403 import pygeodesy.elliptic as elliptic # PYCHOK exported 

404 import pygeodesy.epsg as epsg # PYCHOK exported 

405 import pygeodesy.etm as etm # PYCHOK exported 

406 import pygeodesy.errors as errors # PYCHOK exported 

407 import pygeodesy.fmath as fmath # PYCHOK exported 

408 import pygeodesy.formy as formy # PYCHOK exported 

409 import pygeodesy.frechet as frechet # PYCHOK exported 

410 import pygeodesy.fstats as fstats # PYCHOK exported 

411 import pygeodesy.fsums as fsums # PYCHOK exported 

412 import pygeodesy.gars as gars # PYCHOK exported 

413 import pygeodesy.geodesicw as geodesicw # PYCHOK exported 

414 import pygeodesy.geodesicx as geodesicx # PYCHOK exported 

415 import pygeodesy.geodsolve as geodsolve # PYCHOK exported 

416 import pygeodesy.geohash as geohash # PYCHOK exported 

417 import pygeodesy.geoids as geoids # PYCHOK exported 

418 import pygeodesy.hausdorff as hausdorff # PYCHOK exported 

419 import pygeodesy.heights as heights # PYCHOK exported 

420 import pygeodesy.interns as interns # PYCHOK exported 

421 import pygeodesy.iters as iters # PYCHOK exported 

422 import pygeodesy.karney as karney # PYCHOK exported 

423 import pygeodesy.ktm as ktm # PYCHOK exported 

424 import pygeodesy.latlonBase as latlonBase # PYCHOK exported 

425 import pygeodesy.lazily as lazily # PYCHOK exported 

426 import pygeodesy.lcc as lcc # PYCHOK exported 

427 import pygeodesy.ltp as ltp # PYCHOK exported 

428 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported 

429 import pygeodesy.mgrs as mgrs # PYCHOK exported 

430 import pygeodesy.named as named # PYCHOK exported 

431 import pygeodesy.namedTuples as namedTuples # PYCHOK exported 

432 import pygeodesy.nvectorBase as nvectorBase # PYCHOK exported 

433 import pygeodesy.deprecated.nvector as nvector # PYCHOK DEPRECATED 

434 import pygeodesy.osgr as osgr # PYCHOK exported 

435 import pygeodesy.points as points # PYCHOK exported 

436 import pygeodesy.props as props # PYCHOK exported 

437 import pygeodesy.resections as resections # PYCHOK exported 

438 import pygeodesy.rhumbsolve as rhumbsolve # PYCHOK exported 

439 import pygeodesy.rhumbx as rhumbx # PYCHOK exported 

440 import pygeodesy.simplify as simplify # PYCHOK exported 

441 import pygeodesy.sphericalBase as sphericalBase # PYCHOK exported 

442 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported 

443 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported 

444 import pygeodesy.solveBase as solveBase # PYCHOK exported 

445 import pygeodesy.streprs as streprs # PYCHOK exported 

446 import pygeodesy.trf as trf # PYCHOK exported 

447 import pygeodesy.triaxials as triaxials # PYCHOK exported 

448 import pygeodesy.units as units # PYCHOK exported 

449 import pygeodesy.unitsBase as unitsBase # PYCHOK exported 

450 import pygeodesy.ups as ups # PYCHOK exported 

451 import pygeodesy.utily as utily # PYCHOK exported 

452 import pygeodesy.utm as utm # PYCHOK exported 

453 import pygeodesy.utmups as utmups # PYCHOK exported 

454 import pygeodesy.utmupsBase as utmupsBase # PYCHOK exported 

455 import pygeodesy.vector2d as vector2d # PYCHOK exported 

456 import pygeodesy.vector3d as vector3d # PYCHOK exported 

457 import pygeodesy.vector3dBase as vector3dBase # PYCHOK exported 

458 import pygeodesy.webmercator as webmercator # PYCHOK exported 

459 import pygeodesy.wgrs as wgrs # PYCHOK exported 

460 

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

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

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

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

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

466 from pygeodesy.albers import * # PYCHOK __all__ 

467 from pygeodesy.azimuthal import * # PYCHOK __all__ 

468 from pygeodesy.basics import * # PYCHOK __all__ 

469 from pygeodesy.booleans import * # PYCHOK __all__ 

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

471 from pygeodesy.clipy import * # PYCHOK __all__ 

472 from pygeodesy.constants import * # PYCHOK __all__ 

473 from pygeodesy.css import * # PYCHOK __all__ 

474 from pygeodesy.datums import * # PYCHOK __all__ 

475 from pygeodesy.deprecated import * # PYCHOK __all__ 

476 from pygeodesy.dms import * # PYCHOK __all__ 

477 from pygeodesy.ecef import * # PYCHOK __all__ 

478 from pygeodesy.elevations import * # PYCHOK __all__ 

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

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

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

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

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

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

485 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily 

486 from pygeodesy.ellipsoids import * # PYCHOK __all__ 

487 from pygeodesy.elliptic import * # PYCHOK __all__ 

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

489 from pygeodesy.etm import * # PYCHOK __all__ 

490 from pygeodesy.errors import * # PYCHOK __all__ 

491 from pygeodesy.fmath import * # PYCHOK __all__ 

492 from pygeodesy.formy import * # PYCHOK __all__ 

493 from pygeodesy.frechet import * # PYCHOK __all__ 

494 from pygeodesy.fstats import * # PYCHOK __all__ 

495 from pygeodesy.fsums import * # PYCHOK __all__ 

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

497 from pygeodesy.geodesicw import * # PYCHOK __all__ 

498 from pygeodesy.geodesicx import * # PYCHOK __all__ 

499 from pygeodesy.geodsolve import * # PYCHOK __all__ 

500 from pygeodesy.geohash import Geohash, GeohashError, \ 

501 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily 

502 from pygeodesy.geoids import * # PYCHOK __all__ 

503 from pygeodesy.hausdorff import * # PYCHOK __all__ 

504 from pygeodesy.heights import * # PYCHOK __all__ 

505 from pygeodesy.interns import * # PYCHOK __all__ 

506 from pygeodesy.iters import * # PYCHOK __all__ 

507 from pygeodesy.karney import * # PYCHOK __all__ 

508 from pygeodesy.ktm import * # PYCHOK __all__ 

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

510 from pygeodesy.lazily import * # PYCHOK __all__ 

511 from pygeodesy.lcc import * # PYCHOK __all__ 

512 from pygeodesy.ltp import * # PYCHOK __all__ 

513 from pygeodesy.ltpTuples import * # PYCHOK __all__ 

514 from pygeodesy.mgrs import * # PYCHOK __all__ 

515 from pygeodesy.named import * # PYCHOK __all__ 

516 from pygeodesy.namedTuples import * # PYCHOK __all__ 

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

518 from pygeodesy.osgr import * # PYCHOK __all__ 

519 from pygeodesy.points import * # PYCHOK __all__ 

520 from pygeodesy.props import * # PYCHOK __all__ 

521 from pygeodesy.resections import * # PYCHOK __all__ 

522 from pygeodesy.rhumbsolve import * # PYCHOK __all__ 

523 from pygeodesy.rhumbx import * # PYCHOK __all__ 

524 from pygeodesy.simplify import * # PYCHOK __all__ 

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

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

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

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

529 from pygeodesy.streprs import * # PYCHOK __all__ 

530 from pygeodesy.trf import * # PYCHOK __all__ 

531 from pygeodesy.triaxials import * # PYCHOK __all__ 

532 from pygeodesy.units import * # PYCHOK __all__ 

533 from pygeodesy.unitsBase import * # PYCHOK __all__ 

534 from pygeodesy.ups import * # PYCHOK __all__ 

535 from pygeodesy.utily import * # PYCHOK __all__ 

536 from pygeodesy.utm import * # PYCHOK __all__ 

537 from pygeodesy.utmups import * # PYCHOK __all__ 

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

539 from pygeodesy.vector2d import * # PYCHOK __all__ 

540 from pygeodesy.vector3d import * # PYCHOK __all__ 

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

542 from pygeodesy.webmercator import * # PYCHOK __all__ 

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

544 

545 def _all(globalocals): 

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

547 _DOT_, _module_, _s_ # PYCHOK expected 

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

549 # collect all public module and attribute names and check 

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

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

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

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

554 ns = list(lazily._ALL_INIT) 

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

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

557 if mod not in globalocals: 

558 t = _DOT_(_pygeodesy_, mod) 

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

560 ns.append(mod) 

561 # check that all other public attributes do exist 

562 if attrs and isinstance(attrs, tuple): 

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

564 if t: 

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

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

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

568 ns.extend(attrs) 

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

570# XXX m = globalocals[mod] # assert(m.__name__ == mod) 

571# XXX f = getattr(m, '__file__', _NN) 

572# XXX d = dirname(abspath(f)) if f else pygeodesy_abspath 

573# XXX p = getattr(m, '__package__', _NN) or _pygeodesy_ 

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

575# XXX raise ImportError('foreign module: %s from %r' % (_DOT_(p, mod), f or p)) 

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

577 

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

579else: 

580 __all__ = () 

581 _init__all__ = False 

582 

583from pygeodesy.interns import _DOT_ # PYCHOK import 

584__version__ = '23.04.11' 

585# see setup.py for similar logic 

586version = _DOT_.join(map(str, map(int, __version__.split(_DOT_)))) 

587 

588# XXX del ellipsoidalBase, ellipsoidalBaseDI, sphericalBase, utmupsBase # PYCHOK expected 

589del abspath, basename, dirname, _DOT_, _lazy_import2, sys 

590 

591# **) MIT License 

592# 

593# Copyright (C) 2016-2023 -- mrJean1 at Gmail -- All Rights Reserved. 

594# 

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

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

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

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

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

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

601# 

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

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

604# 

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

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

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

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

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

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

611# OTHER DEALINGS IN THE SOFTWARE.