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}

98 and C{trilaterate5} 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}.

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}.

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 3.11.4 (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 3.10.8

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

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

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

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

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

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

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

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

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

136 2.2, U{GeodSolve<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2 and U{RhumbSolve

137<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2), all on macOS 13.4 Ventura and 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 3.11.4

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

145

146 Python 3.11.4, 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

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

148

149 The tests also ran with Python 3.11.4 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on

150 U{Debian 11<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only and with Python 3.11.4,

151 3.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10

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

153

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

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

156

157 Previously, the tests were run with Python 3.11.2-3, 3.10.1-7, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy

158<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

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

160 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

161 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,

162 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,

163 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

164<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)

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

166<https://PyPI.org/project/numpy>} 1.11.3) on macOS 13.0-3 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1 Big Sur (aka

167 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

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

169 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

170 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

171 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

172 on Windows XP SP3.

173

174 Notes

175=====

176

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

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

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

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

181 using Python 3.11.4, both in 64-bit on macOS 13.4 Ventura.

182

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

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

185

186 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

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

188

189 Env variables

190=============

191

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

193

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

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

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

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

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

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

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

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

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

203

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

205

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

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

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

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

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

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

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

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

214

215 plus during development:

216

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

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

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

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

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

222

223 and:

224

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

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

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

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

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

230

231 License

232=======

233

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

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

236

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

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

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

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

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

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

243

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

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

246

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

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

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

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

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

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

253 OTHER DEALINGS IN THE SOFTWARE.}

254

255@newfield example: Example, Examples

256

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

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

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

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

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

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

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

264

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

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

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

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

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

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

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

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

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

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

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

276

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

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

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

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

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

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

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

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

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

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

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

288

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

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

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

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

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

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

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

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

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

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

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

300

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

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

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

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

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

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

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

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

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

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

311

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

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

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

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

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

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

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

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

320

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

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

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

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

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

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

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

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

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

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

331

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

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

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

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

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

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

338

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

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

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

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

343@var Transforms: Registered, predefined transforms (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 from os.path import abspath, basename, dirname

353 import 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 = dirname(abspath(__file__)) # sys._MEIPASS + '/pygeodesy'

359_pygeodesy_ = __package__ or 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 _a_l_l_, _getenv, LazyImportError, \

376 _lazy_import2 # PYCHOK expected

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

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

379 del _a_l_l_, _getenv

380

381 except (ImportError, LazyImportError, NotImplementedError):

382 _lazy_import2 = None

383

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

385

386 # import all public modules and export as such

387 import pygeodesy.albers as albers # PYCHOK exported

388 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

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

390 import pygeodesy.basics as basics # PYCHOK exported

391 import pygeodesy.booleans as booleans # PYCHOK exported

392 import pygeodesy.cartesianBase as cartesianBase # PYCHOK exported

393 import pygeodesy.clipy as clipy # PYCHOK exported

394 import pygeodesy.constants as constants # PYCHOK exported

395 import pygeodesy.css as css # PYCHOK exported

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

397 import pygeodesy.datums as datums # PYCHOK exported

398 import pygeodesy.deprecated as deprecated # PYCHOK exported

399 import pygeodesy.dms as dms # PYCHOK exported

400 import pygeodesy.ecef as ecef # PYCHOK exported

401 import pygeodesy.elevations as elevations # PYCHOK exported

402 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK exported

403 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK exported

404 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

405 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

406 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

407 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

408 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

409 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

410 import pygeodesy.elliptic as elliptic # PYCHOK exported

411 import pygeodesy.epsg as epsg # PYCHOK exported

412 import pygeodesy.etm as etm # PYCHOK exported

413 import pygeodesy.errors as errors # PYCHOK exported

414 import pygeodesy.fmath as fmath # PYCHOK exported

415 import pygeodesy.formy as formy # PYCHOK exported

416 import pygeodesy.frechet as frechet # PYCHOK exported

417 import pygeodesy.fstats as fstats # PYCHOK exported

418 import pygeodesy.fsums as fsums # PYCHOK exported

419 import pygeodesy.gars as gars # PYCHOK exported

420 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

421 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

422 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

423 import pygeodesy.geohash as geohash # PYCHOK exported

424 import pygeodesy.geoids as geoids # PYCHOK exported

425 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

426 import pygeodesy.heights as heights # PYCHOK exported

427 import pygeodesy.interns as interns # PYCHOK exported

428 import pygeodesy.iters as iters # PYCHOK exported

429 import pygeodesy.karney as karney # PYCHOK exported

430 import pygeodesy.ktm as ktm # PYCHOK exported

431 import pygeodesy.latlonBase as latlonBase # PYCHOK exported

432 import pygeodesy.lazily as lazily # PYCHOK exported

433 import pygeodesy.lcc as lcc # PYCHOK exported

434 import pygeodesy.ltp as ltp # PYCHOK exported

435 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

436 import pygeodesy.mgrs as mgrs # PYCHOK exported

437 import pygeodesy.named as named # PYCHOK exported

438 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

439 import pygeodesy.nvectorBase as nvectorBase # PYCHOK exported

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

441 import pygeodesy.osgr as osgr # PYCHOK exported

442 import pygeodesy.points as points # PYCHOK exported

443 import pygeodesy.props as props # PYCHOK exported

444 import pygeodesy.resections as resections # PYCHOK exported

445 import pygeodesy.rhumbsolve as rhumbsolve # PYCHOK exported

446 import pygeodesy.rhumbx as rhumbx # PYCHOK exported

447 import pygeodesy.simplify as simplify # PYCHOK exported

448 import pygeodesy.sphericalBase as sphericalBase # PYCHOK exported

449 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

450 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

451 import pygeodesy.solveBase as solveBase # PYCHOK exported

452 import pygeodesy.streprs as streprs # PYCHOK exported

453 import pygeodesy.trf as trf # PYCHOK exported

454 import pygeodesy.triaxials as triaxials # PYCHOK exported

455 import pygeodesy.units as units # PYCHOK exported

456 import pygeodesy.unitsBase as unitsBase # PYCHOK exported

457 import pygeodesy.ups as ups # PYCHOK exported

458 import pygeodesy.utily as utily # PYCHOK exported

459 import pygeodesy.utm as utm # PYCHOK exported

460 import pygeodesy.utmups as utmups # PYCHOK exported

461 import pygeodesy.utmupsBase as utmupsBase # PYCHOK exported

462 import pygeodesy.vector2d as vector2d # PYCHOK exported

463 import pygeodesy.vector3d as vector3d # PYCHOK exported

464 import pygeodesy.vector3dBase as vector3dBase # PYCHOK exported

465 import pygeodesy.webmercator as webmercator # PYCHOK exported

466 import pygeodesy.wgrs as wgrs # PYCHOK exported

467

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

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

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

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

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

473 from pygeodesy.albers import * # PYCHOK __all__

474 from pygeodesy.azimuthal import * # PYCHOK __all__

475 from pygeodesy.basics import * # PYCHOK __all__

476 from pygeodesy.booleans import * # PYCHOK __all__

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

478 from pygeodesy.clipy import * # PYCHOK __all__

479 from pygeodesy.constants import * # PYCHOK __all__

480 from pygeodesy.css import * # PYCHOK __all__

481 from pygeodesy.datums import * # PYCHOK __all__

482 from pygeodesy.deprecated import * # PYCHOK __all__

483 from pygeodesy.dms import * # PYCHOK __all__

484 from pygeodesy.ecef import * # PYCHOK __all__

485 from pygeodesy.elevations import * # PYCHOK __all__

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

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

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

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

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

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

492 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily

493 from pygeodesy.ellipsoids import * # PYCHOK __all__

494 from pygeodesy.elliptic import * # PYCHOK __all__

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

496 from pygeodesy.etm import * # PYCHOK __all__

497 from pygeodesy.errors import * # PYCHOK __all__

498 from pygeodesy.fmath import * # PYCHOK __all__

499 from pygeodesy.formy import * # PYCHOK __all__

500 from pygeodesy.frechet import * # PYCHOK __all__

501 from pygeodesy.fstats import * # PYCHOK __all__

502 from pygeodesy.fsums import * # PYCHOK __all__

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

504 from pygeodesy.geodesicw import * # PYCHOK __all__

505 from pygeodesy.geodesicx import * # PYCHOK __all__

506 from pygeodesy.geodsolve import * # PYCHOK __all__

507 from pygeodesy.geohash import Geohash, GeohashError, \

508 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily

509 from pygeodesy.geoids import * # PYCHOK __all__

510 from pygeodesy.hausdorff import * # PYCHOK __all__

511 from pygeodesy.heights import * # PYCHOK __all__

512 from pygeodesy.interns import * # PYCHOK __all__

513 from pygeodesy.iters import * # PYCHOK __all__

514 from pygeodesy.karney import * # PYCHOK __all__

515 from pygeodesy.ktm import * # PYCHOK __all__

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

517 from pygeodesy.lazily import * # PYCHOK __all__

518 from pygeodesy.lcc import * # PYCHOK __all__

519 from pygeodesy.ltp import * # PYCHOK __all__

520 from pygeodesy.ltpTuples import * # PYCHOK __all__

521 from pygeodesy.mgrs import * # PYCHOK __all__

522 from pygeodesy.named import * # PYCHOK __all__

523 from pygeodesy.namedTuples import * # PYCHOK __all__

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

525 from pygeodesy.osgr import * # PYCHOK __all__

526 from pygeodesy.points import * # PYCHOK __all__

527 from pygeodesy.props import * # PYCHOK __all__

528 from pygeodesy.resections import * # PYCHOK __all__

529 from pygeodesy.rhumbsolve import * # PYCHOK __all__

530 from pygeodesy.rhumbx import * # PYCHOK __all__

531 from pygeodesy.simplify import * # PYCHOK __all__

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

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

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

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

536 from pygeodesy.streprs import * # PYCHOK __all__

537 from pygeodesy.trf import * # PYCHOK __all__

538 from pygeodesy.triaxials import * # PYCHOK __all__

539 from pygeodesy.units import * # PYCHOK __all__

540 from pygeodesy.unitsBase import * # PYCHOK __all__

541 from pygeodesy.ups import * # PYCHOK __all__

542 from pygeodesy.utily import * # PYCHOK __all__

543 from pygeodesy.utm import * # PYCHOK __all__

544 from pygeodesy.utmups import * # PYCHOK __all__

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

546 from pygeodesy.vector2d import * # PYCHOK __all__

547 from pygeodesy.vector3d import * # PYCHOK __all__

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

549 from pygeodesy.webmercator import * # PYCHOK __all__

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

551

552 def _all(globalocals):

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

554 _DOT_, _module_, _s_ # PYCHOK expected

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

556 # collect all public module and attribute names and check

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

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

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

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

561 ns = list(lazily._ALL_INIT)

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

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

564 if mod not in globalocals:

565 t = _DOT_(_pygeodesy_, mod)

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

567 ns.append(mod)

568 # check that all other public attributes do exist

569 if attrs and isinstance(attrs, tuple):

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

571 if t:

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

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

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

575 ns.extend(attrs)

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

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

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

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

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

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

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

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.interns import _DOT_ # PYCHOK import

591__version__ = '23.07.12'

592# see setup.py for similar logic

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

594

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

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

597

598# **) MIT License

599#

600# Copyright (C) 2016-2023 -- 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.