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

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

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

107

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

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

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

111

112 Documentation

113=============

114

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

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

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

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

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

120

121 Tests

122=====

123

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

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

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

127 3.10.8 (with U{geographiclib <https://PyPI.org/project/geographiclib>} 2.0, U{numpy

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

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

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

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

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

133 1.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2, 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), all on macOS 14.5 Sonoma and

137 in 64-bit only.

138

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

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

141 the distribution files.

142

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

144 3.11.5 and 3.10.8. The complete coverage report in HTML and a PDF summary are included in the distribution files.

145

146 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}.

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

148 L{pygeodesy.machine}).

149

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

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

152 3.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10

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

154

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

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

157

158 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

159<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

160 2.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>}

161 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,

162 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,

163 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,

164 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

165<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)

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

167<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

168 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

169 10.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with

170 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

171 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

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

173 32-bit Python 2.6.6 on Windows XP SP3.

174

175 Notes

176=====

177

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

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

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

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

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

183

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

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

186

187 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

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

189

190 Env variables

191=============

192

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

194

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

196 - C{PYGEODESY_FMT_FORM} - see module L{pygeodesy.dms}.

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

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

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

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

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

202 - C{PYGEODESY_RHUMBSOLVE} - see module L{pygeodesy.rhumb.solve}.

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

204

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

206

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

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

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

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

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

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

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

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

215

216 plus during development:

217

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

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

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

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

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

223

224 and:

225

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

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

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

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

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

231 pygeodesy.deprecated import collins }

232

233 License

234=======

235

236**) U{Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.

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

238

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

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

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

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

243 subject to the following conditions:}

244

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

246 portions of the Software.}

247

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

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

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

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

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

253

254@newfield example: Example, Examples

255

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

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

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

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

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

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

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

263

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

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

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

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

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

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

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

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

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

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

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

275

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

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

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

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

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

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

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

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

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

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

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

287

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

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

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

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

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

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

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

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

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

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

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

299

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

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

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

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

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

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

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

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

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

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

310

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

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

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

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

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

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

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

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

319

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

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

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

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

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

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

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

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

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

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

330

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

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

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

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

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

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

337

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

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

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

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

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

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

344

345@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.

346

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

348

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

350'''

351

352 import os.path as _os_path

353 import sys as _sys

354

355_init__all__ = True

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

357_isfrozen = getattr(_sys, 'frozen', False)

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

359_pygeodesy_ = __package__ or _os_path.basename(pygeodesy_abspath)

360

361 if _isfrozen: # avoid lazy import

362 _lazy_import2 = None

363 else:

364 # setting __path__ should ...

365 __path__ = [pygeodesy_abspath]

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

367 import pygeodesy.lazily as _

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

369 # _sys.path to include this very directory such

370 # that all public and private sub-modules can

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

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

373

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

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

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

377

378 except (ImportError, NotImplementedError): # LazyImportError

379 _lazy_import2 = None

380

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

382

383 # import all public modules and export as such

384 import pygeodesy.albers as albers # PYCHOK exported

385 import pygeodesy.auxilats as auxilats # PYCHOK exported

386 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

387 import pygeodesy.basics as basics # PYCHOK exported

388 import pygeodesy.booleans as booleans # PYCHOK exported

389 import pygeodesy.cartesianBase as cartesianBase # PYCHOK INTERNAL

390 import pygeodesy.clipy as clipy # PYCHOK exported

391 import pygeodesy.constants as constants # PYCHOK exported

392 import pygeodesy.css as css # PYCHOK exported

393 import pygeodesy.datums as datums # PYCHOK exported

394 import pygeodesy.deprecated as deprecated # PYCHOK exported

395 import pygeodesy.dms as dms # PYCHOK exported

396 import pygeodesy.ecef as ecef # PYCHOK exported

397 import pygeodesy.elevations as elevations # PYCHOK exported

398 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK INTERNAL

399 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK INTERNAL

400 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

401 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

402 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

403 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

404 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

405 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

406 import pygeodesy.elliptic as elliptic # PYCHOK exported

407 import pygeodesy.epsg as epsg # PYCHOK exported

408 import pygeodesy.etm as etm # PYCHOK exported

409 import pygeodesy.errors as errors # PYCHOK exported

410 import pygeodesy.fmath as fmath # PYCHOK exported

411 import pygeodesy.formy as formy # PYCHOK exported

412 import pygeodesy.frechet as frechet # PYCHOK exported

413 import pygeodesy.fstats as fstats # PYCHOK exported

414 import pygeodesy.fsums as fsums # PYCHOK exported

415 import pygeodesy.gars as gars # PYCHOK exported

416 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

417 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

418 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

419 import pygeodesy.geohash as geohash # PYCHOK exported

420 import pygeodesy.geoids as geoids # PYCHOK exported

421 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

422 import pygeodesy.heights as heights # PYCHOK exported

423 import pygeodesy.internals as internals # PYCHOK exported

424 import pygeodesy.interns as interns # PYCHOK exported

425 import pygeodesy.iters as iters # PYCHOK exported

426 import pygeodesy.karney as karney # PYCHOK exported

427 import pygeodesy.ktm as ktm # PYCHOK exported

428 import pygeodesy.latlonBase as latlonBase # PYCHOK INTERNAL

429 import pygeodesy.lazily as lazily # PYCHOK exported

430 import pygeodesy.lcc as lcc # PYCHOK exported

431 import pygeodesy.ltp as ltp # PYCHOK exported

432 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

433 import pygeodesy.mgrs as mgrs # PYCHOK exported

434 import pygeodesy.named as named # PYCHOK exported

435 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

436 import pygeodesy.nvectorBase as nvectorBase # PYCHOK INTERNAL

437 import pygeodesy.osgr as osgr # PYCHOK exported

438 import pygeodesy.points as points # PYCHOK exported

439 import pygeodesy.props as props # PYCHOK exported

440 import pygeodesy.resections as resections # PYCHOK exported

441 import pygeodesy.rhumb as rhumb # PYCHOK exported

442 import pygeodesy.simplify as simplify # PYCHOK exported

443 import pygeodesy.sphericalBase as sphericalBase # PYCHOK INTERNAL

444 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

445 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

446 import pygeodesy.solveBase as solveBase # PYCHOK exported

447 import pygeodesy.streprs as streprs # PYCHOK exported

448 import pygeodesy.trf as trf # PYCHOK exported

449 import pygeodesy.triaxials as triaxials # PYCHOK exported

450 import pygeodesy.units as units # PYCHOK exported

451 import pygeodesy.unitsBase as unitsBase # PYCHOK INTERNAL

452 import pygeodesy.ups as ups # PYCHOK exported

453 import pygeodesy.utily as utily # PYCHOK exported

454 import pygeodesy.utm as utm # PYCHOK exported

455 import pygeodesy.utmups as utmups # PYCHOK exported

456 import pygeodesy.utmupsBase as utmupsBase # PYCHOK INTERNAL

457 import pygeodesy.vector2d as vector2d # PYCHOK exported

458 import pygeodesy.vector3d as vector3d # PYCHOK exported

459 import pygeodesy.vector3dBase as vector3dBase # PYCHOK INTERNAL

460 import pygeodesy.webmercator as webmercator # PYCHOK exported

461 import pygeodesy.wgrs as wgrs # PYCHOK exported

462

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

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

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

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

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

468 from pygeodesy.albers import * # PYCHOK __all__

469 from pygeodesy.azimuthal import * # PYCHOK __all__

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

471 from pygeodesy.basics import * # PYCHOK __all__

472 from pygeodesy.booleans import * # PYCHOK __all__

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

474 from pygeodesy.clipy import * # PYCHOK __all__

475 from pygeodesy.constants import * # PYCHOK __all__

476 from pygeodesy.css import * # PYCHOK __all__

477 from pygeodesy.datums import * # PYCHOK __all__

478 from pygeodesy.deprecated import * # PYCHOK __all__ DEPRECATED

479 from pygeodesy.dms import * # PYCHOK __all__

480 from pygeodesy.ecef import * # PYCHOK __all__

481 from pygeodesy.elevations import * # PYCHOK __all__

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

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

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

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

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

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

488 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily

489 from pygeodesy.ellipsoids import * # PYCHOK __all__

490 from pygeodesy.elliptic import * # PYCHOK __all__

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

492 from pygeodesy.etm import * # PYCHOK __all__

493 from pygeodesy.errors import * # PYCHOK __all__

494 from pygeodesy.fmath import * # PYCHOK __all__

495 from pygeodesy.formy import * # PYCHOK __all__

496 from pygeodesy.frechet import * # PYCHOK __all__

497 from pygeodesy.fstats import * # PYCHOK __all__

498 from pygeodesy.fsums import * # PYCHOK __all__

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

500 from pygeodesy.geodesicw import * # PYCHOK __all__

501 from pygeodesy.geodesicx import * # PYCHOK __all__

502 from pygeodesy.geodsolve import * # PYCHOK __all__

503 from pygeodesy.geohash import Geohash, GeohashError, \

504 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily

505 from pygeodesy.geoids import * # PYCHOK __all__

506 from pygeodesy.hausdorff import * # PYCHOK __all__

507 from pygeodesy.heights import * # PYCHOK __all__

508 from pygeodesy.internals import * # PYCHOK __all__

509 from pygeodesy.interns import * # PYCHOK __all__

510 from pygeodesy.iters import * # PYCHOK __all__

511 from pygeodesy.karney import * # PYCHOK __all__

512 from pygeodesy.ktm import * # PYCHOK __all__

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

514 from pygeodesy.lazily import * # PYCHOK __all__

515 from pygeodesy.lcc import * # PYCHOK __all__

516 from pygeodesy.ltp import * # PYCHOK __all__

517 from pygeodesy.ltpTuples import * # PYCHOK __all__

518 from pygeodesy.mgrs import * # PYCHOK __all__

519 from pygeodesy.named import * # PYCHOK __all__

520 from pygeodesy.namedTuples import * # PYCHOK __all__

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

522 from pygeodesy.osgr import * # PYCHOK __all__

523 from pygeodesy.points import * # PYCHOK __all__

524 from pygeodesy.props import * # PYCHOK __all__

525 from pygeodesy.resections import * # PYCHOK __all__

526 from pygeodesy.rhumb import * # PYCHOK __all__

527 from pygeodesy.simplify import * # PYCHOK __all__

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

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

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

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

532 from pygeodesy.streprs import * # PYCHOK __all__

533 from pygeodesy.trf import * # PYCHOK __all__

534 from pygeodesy.triaxials import * # PYCHOK __all__

535 from pygeodesy.units import * # PYCHOK __all__

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

537 from pygeodesy.ups import * # PYCHOK __all__

538 from pygeodesy.utily import * # PYCHOK __all__

539 from pygeodesy.utm import * # PYCHOK __all__

540 from pygeodesy.utmups import * # PYCHOK __all__

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

542 from pygeodesy.vector2d import * # PYCHOK __all__

543 from pygeodesy.vector3d import * # PYCHOK __all__

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

545 from pygeodesy.webmercator import * # PYCHOK __all__

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

547

548 def _all(globalocals):

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

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

551 _module_, _s_, _UNDER_ # PYCHOK expected

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

553 # collect all public module and attribute names and check

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

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

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

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

558 ns = list(lazily._ALL_INIT)

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

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

561 mod = _headof(_headof(mod))

562 if mod not in globalocals:

563 t = _DOT_(_pygeodesy_, mod)

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

565 ns.append(mod)

566 # check that all other public attrs do exist

567 if attrs and isinstance(attrs, tuple):

568 attrs = lazily._ALL_ATTRS(attrs)

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

570 if t:

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

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

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

574 ns.extend(attrs)

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

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

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

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

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

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

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

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

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

584

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

586 else:

587 __all__ = ()

588 _init__all__ = False

589

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

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

592__version__ = '24.06.09'

593# see setup.py for similar logic

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

595

596 del _DOT_, _lazy_import2, _os_path, _sys, _version2

597

598# **) MIT License

599#

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

601#

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

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

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

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

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

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

608#

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

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

611#

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

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

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

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

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

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

618# OTHER DEALINGS IN THE SOFTWARE.