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, trilateration (by intersection,

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

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

24 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

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

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

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

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

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

31

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

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

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

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

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

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

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

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

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

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

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

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

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

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

46

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

66 wiki/Hausdorff_distance>} distances.

67

68 Installation

69============

70

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

72 PyGeodesy} in a terminal or command window.

73

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

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

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

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

78

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

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

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

82

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

84 before or after installation.

85

86 Dependencies

87============

88

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

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

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

92

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

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

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

96

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

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

99

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

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

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

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

104

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

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

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

108

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

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

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

112

113 Documentation

114=============

115

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

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

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

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

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

121

122 Tests

123=====

124

125 The tests ran with 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), U{PyPy 7.3.12

127(Python 3.10.12)<https://formulae.brew.sh/formula/pypy3.10>}, Python 3.10.8 (with U{geographiclib

128<https://PyPI.org/project/geographiclib>} 2.0, U{numpy<https://PyPI.org/project/numpy>} 1.23.3, U{scipy

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

130<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2, U{GeodSolve

131<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2 and U{RhumbSolve

132<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2), Python 3.9.6, Python 3.8.10 (with

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

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

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

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

137 2.2, U{GeodSolve<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2 and U{RhumbSolve

138<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2), all on macOS 13.5.2 Ventura and in 64-bit only.

139

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

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

142 the distribution files.

143

144 Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.2.2 using only Python 3.11.5

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

146

147 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}.

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

149 L{pygeodesy.machine}).

150

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

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

153 3.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10

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

155

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

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

158

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

160<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

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

162 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, 1.5.2 or 1.8.1) on

163 U{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,

164 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, 1.16.5, 1.16.2,

165 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

166<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)

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

168<https://PyPI.org/project/numpy>} 1.11.3) on macOS 13.0-4 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1 Big Sur (aka

169 10.16), 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

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

171 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 iPhone12, with

172 U{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

173 64-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

174 on Windows XP SP3.

175

176 Notes

177=====

178

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

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

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

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

183 using Python 3.11.5, both in 64-bit on macOS 13.5.2 Ventura.

184

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

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

187

188 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

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

190

191 Env variables

192=============

193

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

195

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

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

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

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

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

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

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

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

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

205

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

207

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

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

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

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

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

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

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

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

216

217 plus during development:

218

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

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

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

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

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

224

225 and:

226

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

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

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

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

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

232

233 License

234=======

235

236**) U{Copyright (C) 2016-2023 -- 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

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

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

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

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

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

245

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

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

248

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

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

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

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

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

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

255 OTHER DEALINGS IN THE SOFTWARE.}

256

257@newfield example: Example, Examples

258

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

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

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

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

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

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

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

266

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

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

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

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

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

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

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

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

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

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

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

278

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

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

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

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

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

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

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

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

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

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

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

290

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

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

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

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

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

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

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

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

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

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

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

302

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

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

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

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

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

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

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

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

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

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

313

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

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

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

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

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

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

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

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

322

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

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

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

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

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

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

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

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

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

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

333

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

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

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

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

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

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

340

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

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

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

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

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

346

347@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.

348

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

350

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

352'''

353

354 from os.path import abspath, basename, dirname

355 import sys

356

357_init__all__ = True

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

359_isfrozen = getattr(sys, 'frozen', False)

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

361_pygeodesy_ = __package__ or basename(pygeodesy_abspath)

362

363 if _isfrozen: # avoid lazy import

364 _lazy_import2 = None

365 else:

366 # setting __path__ should ...

367 __path__ = [pygeodesy_abspath]

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

369 import pygeodesy.lazily as _

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

371 # sys.path to include this very directory such

372 # that all public and private sub-modules can

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

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

375

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

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

378 _lazy_import2 # PYCHOK expected

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

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

381 del _a_l_l_, _getenv

382

383 except (ImportError, LazyImportError, NotImplementedError):

384 _lazy_import2 = None

385

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

387

388 # import all public modules and export as such

389 import pygeodesy.albers as albers # PYCHOK exported

390 import pygeodesy.auxilats as auxilats # PYCHOK exported

391 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

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

393 import pygeodesy.basics as basics # PYCHOK exported

394 import pygeodesy.booleans as booleans # PYCHOK exported

395 import pygeodesy.cartesianBase as cartesianBase # PYCHOK exported

396 import pygeodesy.clipy as clipy # PYCHOK exported

397 import pygeodesy.constants as constants # PYCHOK exported

398 import pygeodesy.css as css # PYCHOK exported

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

400 import pygeodesy.datums as datums # PYCHOK exported

401 import pygeodesy.deprecated as deprecated # PYCHOK exported

402 import pygeodesy.dms as dms # PYCHOK exported

403 import pygeodesy.ecef as ecef # PYCHOK exported

404 import pygeodesy.elevations as elevations # PYCHOK exported

405 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK exported

406 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK exported

407 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

408 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

409 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

410 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

411 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

412 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

413 import pygeodesy.elliptic as elliptic # PYCHOK exported

414 import pygeodesy.epsg as epsg # PYCHOK exported

415 import pygeodesy.etm as etm # PYCHOK exported

416 import pygeodesy.errors as errors # PYCHOK exported

417 import pygeodesy.fmath as fmath # PYCHOK exported

418 import pygeodesy.formy as formy # PYCHOK exported

419 import pygeodesy.frechet as frechet # PYCHOK exported

420 import pygeodesy.fstats as fstats # PYCHOK exported

421 import pygeodesy.fsums as fsums # PYCHOK exported

422 import pygeodesy.gars as gars # PYCHOK exported

423 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

424 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

425 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

426 import pygeodesy.geohash as geohash # PYCHOK exported

427 import pygeodesy.geoids as geoids # PYCHOK exported

428 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

429 import pygeodesy.heights as heights # PYCHOK exported

430 import pygeodesy.interns as interns # PYCHOK exported

431 import pygeodesy.iters as iters # PYCHOK exported

432 import pygeodesy.karney as karney # PYCHOK exported

433 import pygeodesy.ktm as ktm # PYCHOK exported

434 import pygeodesy.latlonBase as latlonBase # PYCHOK exported

435 import pygeodesy.lazily as lazily # PYCHOK exported

436 import pygeodesy.lcc as lcc # PYCHOK exported

437 import pygeodesy.ltp as ltp # PYCHOK exported

438 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

439 import pygeodesy.mgrs as mgrs # PYCHOK exported

440 import pygeodesy.named as named # PYCHOK exported

441 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

442 import pygeodesy.nvectorBase as nvectorBase # PYCHOK exported

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

444 import pygeodesy.osgr as osgr # PYCHOK exported

445 import pygeodesy.points as points # PYCHOK exported

446 import pygeodesy.props as props # PYCHOK exported

447 import pygeodesy.resections as resections # PYCHOK exported

448 import pygeodesy.rhumbaux as rhumbaux # PYCHOK exported

449 import pygeodesy.rhumbBase as rhumbBase # PYCHOK exported

450 import pygeodesy.rhumbsolve as rhumbsolve # PYCHOK exported

451 import pygeodesy.rhumbx as rhumbx # PYCHOK exported

452 import pygeodesy.simplify as simplify # PYCHOK exported

453 import pygeodesy.sphericalBase as sphericalBase # PYCHOK exported

454 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

455 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

456 import pygeodesy.solveBase as solveBase # PYCHOK exported

457 import pygeodesy.streprs as streprs # PYCHOK exported

458 import pygeodesy.trf as trf # PYCHOK exported

459 import pygeodesy.triaxials as triaxials # PYCHOK exported

460 import pygeodesy.units as units # PYCHOK exported

461 import pygeodesy.unitsBase as unitsBase # PYCHOK exported

462 import pygeodesy.ups as ups # PYCHOK exported

463 import pygeodesy.utily as utily # PYCHOK exported

464 import pygeodesy.utm as utm # PYCHOK exported

465 import pygeodesy.utmups as utmups # PYCHOK exported

466 import pygeodesy.utmupsBase as utmupsBase # PYCHOK exported

467 import pygeodesy.vector2d as vector2d # PYCHOK exported

468 import pygeodesy.vector3d as vector3d # PYCHOK exported

469 import pygeodesy.vector3dBase as vector3dBase # PYCHOK exported

470 import pygeodesy.webmercator as webmercator # PYCHOK exported

471 import pygeodesy.wgrs as wgrs # PYCHOK exported

472

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

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

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

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

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

478 from pygeodesy.albers import * # PYCHOK __all__

479 from pygeodesy.azimuthal import * # PYCHOK __all__

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

481 from pygeodesy.basics import * # PYCHOK __all__

482 from pygeodesy.booleans import * # PYCHOK __all__

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

484 from pygeodesy.clipy import * # PYCHOK __all__

485 from pygeodesy.constants import * # PYCHOK __all__

486 from pygeodesy.css import * # PYCHOK __all__

487 from pygeodesy.datums import * # PYCHOK __all__

488 from pygeodesy.deprecated import * # PYCHOK __all__

489 from pygeodesy.dms import * # PYCHOK __all__

490 from pygeodesy.ecef import * # PYCHOK __all__

491 from pygeodesy.elevations import * # PYCHOK __all__

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

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

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

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

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

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

498 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily

499 from pygeodesy.ellipsoids import * # PYCHOK __all__

500 from pygeodesy.elliptic import * # PYCHOK __all__

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

502 from pygeodesy.etm import * # PYCHOK __all__

503 from pygeodesy.errors import * # PYCHOK __all__

504 from pygeodesy.fmath import * # PYCHOK __all__

505 from pygeodesy.formy import * # PYCHOK __all__

506 from pygeodesy.frechet import * # PYCHOK __all__

507 from pygeodesy.fstats import * # PYCHOK __all__

508 from pygeodesy.fsums import * # PYCHOK __all__

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

510 from pygeodesy.geodesicw import * # PYCHOK __all__

511 from pygeodesy.geodesicx import * # PYCHOK __all__

512 from pygeodesy.geodsolve import * # PYCHOK __all__

513 from pygeodesy.geohash import Geohash, GeohashError, \

514 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily

515 from pygeodesy.geoids import * # PYCHOK __all__

516 from pygeodesy.hausdorff import * # PYCHOK __all__

517 from pygeodesy.heights import * # PYCHOK __all__

518 from pygeodesy.interns import * # PYCHOK __all__

519 from pygeodesy.iters import * # PYCHOK __all__

520 from pygeodesy.karney import * # PYCHOK __all__

521 from pygeodesy.ktm import * # PYCHOK __all__

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

523 from pygeodesy.lazily import * # PYCHOK __all__

524 from pygeodesy.lcc import * # PYCHOK __all__

525 from pygeodesy.ltp import * # PYCHOK __all__

526 from pygeodesy.ltpTuples import * # PYCHOK __all__

527 from pygeodesy.mgrs import * # PYCHOK __all__

528 from pygeodesy.named import * # PYCHOK __all__

529 from pygeodesy.namedTuples import * # PYCHOK __all__

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

531 from pygeodesy.osgr import * # PYCHOK __all__

532 from pygeodesy.points import * # PYCHOK __all__

533 from pygeodesy.props import * # PYCHOK __all__

534 from pygeodesy.resections import * # PYCHOK __all__

535 from pygeodesy.rhumbaux import * # PYCHOK __all__

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

537 from pygeodesy.rhumbsolve import * # PYCHOK __all__

538 from pygeodesy.rhumbx import * # PYCHOK __all__

539 from pygeodesy.simplify import * # PYCHOK __all__

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

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

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

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

544 from pygeodesy.streprs import * # PYCHOK __all__

545 from pygeodesy.trf import * # PYCHOK __all__

546 from pygeodesy.triaxials import * # PYCHOK __all__

547 from pygeodesy.units import * # PYCHOK __all__

548 from pygeodesy.unitsBase import * # PYCHOK __all__

549 from pygeodesy.ups import * # PYCHOK __all__

550 from pygeodesy.utily import * # PYCHOK __all__

551 from pygeodesy.utm import * # PYCHOK __all__

552 from pygeodesy.utmups import * # PYCHOK __all__

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

554 from pygeodesy.vector2d import * # PYCHOK __all__

555 from pygeodesy.vector3d import * # PYCHOK __all__

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

557 from pygeodesy.webmercator import * # PYCHOK __all__

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

559

560 def _all(globalocals):

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

562 _DOT_, _module_, _s_ # PYCHOK expected

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

564 # collect all public module and attribute names and check

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

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

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

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

569 ns = list(lazily._ALL_INIT)

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

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

572 if mod not in globalocals:

573 t = _DOT_(_pygeodesy_, mod)

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

575 ns.append(mod)

576 # check that all other public attributes do exist

577 if attrs and isinstance(attrs, tuple):

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

579 if t:

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

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

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

583 ns.extend(attrs)

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

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

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

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

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

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

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

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

592

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

594 else:

595 __all__ = ()

596 _init__all__ = False

597

598 from pygeodesy.interns import _DOT_ # PYCHOK import

599__version__ = '23.10.06'

600# see setup.py for similar logic

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

602

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

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

605

606# **) MIT License

607#

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

609#

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

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

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

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

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

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

616#

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

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

619#

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

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

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

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

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

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

626# OTHER DEALINGS IN THE SOFTWARE.