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) and geocentric (U{ECEF<https://WikiPedia.org/wiki/ECEF>}

7 cartesian) coordinates.

8

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

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

11 by I{Charles F.F. Karney (C) 2008-2023} and published under the same U{MIT License

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

13

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

29

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

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

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

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

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

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

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

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

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

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

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

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

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

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

44

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

65

66 Installation

67============

68

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

70 PyGeodesy} in a terminal or command window.

71

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

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

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

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

76

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

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

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

80

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

82 before or after installation.

83

84 Dependencies

85============

86

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

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

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

90

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

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

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

94

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

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

97

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

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

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

101 env variable C{PYGEODESY_GEODSOLVE}.

102

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

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

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

106

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

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

109 env variable C{PYGEODESY_RHUMBSOLVE}.

110

111 Documentation

112=============

113

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

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

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

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

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

119

120 Tests

121=====

122

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

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

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

126 1.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, U{GeoConvert

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

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

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

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

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

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

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

134 1.51, U{GeodSolve<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51 and U{RhumbSolve

135<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51), all on macOS 13.3.1 Ventura and in 64-bit only.

136

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

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

139 the distribution files.

140

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

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

143

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

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

146

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

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

149 3.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10

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

151

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

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

154

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

156<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

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

158 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

159 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,

160 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,

161 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

162<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)

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

164<https://PyPI.org/project/numpy>} 1.11.3) on macOS 13.0-2.1 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1 Big Sur (aka

165 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

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

167 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

168 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

169 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

170 on Windows XP SP3.

171

172 Notes

173=====

174

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

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

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

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

179 using Python 3.11.3, both in 64-bit on macOS 13.3.1 Ventura.

180

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

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

183

184 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

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

186

187 Env variables

188=============

189

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

191

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

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

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

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

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

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

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

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

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

201

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

203

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

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

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

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

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

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

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

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

212

213 plus during development:

214

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

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

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

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

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

220

221 and:

222

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

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

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

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

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

228

229 License

230=======

231

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

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

234

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

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

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

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

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

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

241

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

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

244

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

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

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

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

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

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

251 OTHER DEALINGS IN THE SOFTWARE.}

252

253@newfield example: Example, Examples

254

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

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

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

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

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

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

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

262

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

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

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

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

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

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

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

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

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

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

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

274

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

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

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

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

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

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

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

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

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

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

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

286

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

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

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

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

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

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

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

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

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

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

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

298

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

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

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

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

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

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

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

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

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

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

309

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

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

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

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

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

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

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

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

318

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

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

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

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

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

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

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

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

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

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

329

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

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

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

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

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

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

336

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

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

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

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

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

342

343@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.

344

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

346

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

348'''

349

350 from os.path import abspath, basename, dirname

351 import sys

352

353_init__all__ = True

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

355_isfrozen = getattr(sys, 'frozen', False)

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

357_pygeodesy_ = __package__ or basename(pygeodesy_abspath)

358

359 if _isfrozen: # avoid lazy import

360 _lazy_import2 = None

361 else:

362 # setting __path__ should ...

363 __path__ = [pygeodesy_abspath]

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

365 import pygeodesy.lazily as _

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

367 # sys.path to include this very directory such

368 # that all public and private sub-modules can

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

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

371

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

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

374 _lazy_import2 # PYCHOK expected

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

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

377 del _a_l_l_, _getenv

378

379 except (ImportError, LazyImportError, NotImplementedError):

380 _lazy_import2 = None

381

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

383

384 # import all public modules and export as such

385 import pygeodesy.albers as albers # PYCHOK exported

386 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

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

388 import pygeodesy.basics as basics # PYCHOK exported

389 import pygeodesy.booleans as booleans # PYCHOK exported

390 import pygeodesy.cartesianBase as cartesianBase # PYCHOK exported

391 import pygeodesy.clipy as clipy # PYCHOK exported

392 import pygeodesy.constants as constants # PYCHOK exported

393 import pygeodesy.css as css # PYCHOK exported

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

395 import pygeodesy.datums as datums # PYCHOK exported

396 import pygeodesy.deprecated as deprecated # PYCHOK exported

397 import pygeodesy.dms as dms # PYCHOK exported

398 import pygeodesy.ecef as ecef # PYCHOK exported

399 import pygeodesy.elevations as elevations # PYCHOK exported

400 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK exported

401 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK exported

402 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

403 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

404 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

405 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

406 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

407 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

408 import pygeodesy.elliptic as elliptic # PYCHOK exported

409 import pygeodesy.epsg as epsg # PYCHOK exported

410 import pygeodesy.etm as etm # PYCHOK exported

411 import pygeodesy.errors as errors # PYCHOK exported

412 import pygeodesy.fmath as fmath # PYCHOK exported

413 import pygeodesy.formy as formy # PYCHOK exported

414 import pygeodesy.frechet as frechet # PYCHOK exported

415 import pygeodesy.fstats as fstats # PYCHOK exported

416 import pygeodesy.fsums as fsums # PYCHOK exported

417 import pygeodesy.gars as gars # PYCHOK exported

418 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

419 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

420 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

421 import pygeodesy.geohash as geohash # PYCHOK exported

422 import pygeodesy.geoids as geoids # PYCHOK exported

423 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

424 import pygeodesy.heights as heights # PYCHOK exported

425 import pygeodesy.interns as interns # PYCHOK exported

426 import pygeodesy.iters as iters # PYCHOK exported

427 import pygeodesy.karney as karney # PYCHOK exported

428 import pygeodesy.ktm as ktm # PYCHOK exported

429 import pygeodesy.latlonBase as latlonBase # PYCHOK exported

430 import pygeodesy.lazily as lazily # PYCHOK exported

431 import pygeodesy.lcc as lcc # PYCHOK exported

432 import pygeodesy.ltp as ltp # PYCHOK exported

433 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

434 import pygeodesy.mgrs as mgrs # PYCHOK exported

435 import pygeodesy.named as named # PYCHOK exported

436 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

437 import pygeodesy.nvectorBase as nvectorBase # PYCHOK exported

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

439 import pygeodesy.osgr as osgr # PYCHOK exported

440 import pygeodesy.points as points # PYCHOK exported

441 import pygeodesy.props as props # PYCHOK exported

442 import pygeodesy.resections as resections # PYCHOK exported

443 import pygeodesy.rhumbsolve as rhumbsolve # PYCHOK exported

444 import pygeodesy.rhumbx as rhumbx # PYCHOK exported

445 import pygeodesy.simplify as simplify # PYCHOK exported

446 import pygeodesy.sphericalBase as sphericalBase # PYCHOK exported

447 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

448 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

449 import pygeodesy.solveBase as solveBase # PYCHOK exported

450 import pygeodesy.streprs as streprs # PYCHOK exported

451 import pygeodesy.trf as trf # PYCHOK exported

452 import pygeodesy.triaxials as triaxials # PYCHOK exported

453 import pygeodesy.units as units # PYCHOK exported

454 import pygeodesy.unitsBase as unitsBase # PYCHOK exported

455 import pygeodesy.ups as ups # PYCHOK exported

456 import pygeodesy.utily as utily # PYCHOK exported

457 import pygeodesy.utm as utm # PYCHOK exported

458 import pygeodesy.utmups as utmups # PYCHOK exported

459 import pygeodesy.utmupsBase as utmupsBase # PYCHOK exported

460 import pygeodesy.vector2d as vector2d # PYCHOK exported

461 import pygeodesy.vector3d as vector3d # PYCHOK exported

462 import pygeodesy.vector3dBase as vector3dBase # PYCHOK exported

463 import pygeodesy.webmercator as webmercator # PYCHOK exported

464 import pygeodesy.wgrs as wgrs # PYCHOK exported

465

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

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

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

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

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

471 from pygeodesy.albers import * # PYCHOK __all__

472 from pygeodesy.azimuthal import * # PYCHOK __all__

473 from pygeodesy.basics import * # PYCHOK __all__

474 from pygeodesy.booleans import * # PYCHOK __all__

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

476 from pygeodesy.clipy import * # PYCHOK __all__

477 from pygeodesy.constants import * # PYCHOK __all__

478 from pygeodesy.css import * # PYCHOK __all__

479 from pygeodesy.datums import * # PYCHOK __all__

480 from pygeodesy.deprecated import * # PYCHOK __all__

481 from pygeodesy.dms import * # PYCHOK __all__

482 from pygeodesy.ecef import * # PYCHOK __all__

483 from pygeodesy.elevations import * # PYCHOK __all__

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

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

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

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

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

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

490 from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily

491 from pygeodesy.ellipsoids import * # PYCHOK __all__

492 from pygeodesy.elliptic import * # PYCHOK __all__

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

494 from pygeodesy.etm import * # PYCHOK __all__

495 from pygeodesy.errors import * # PYCHOK __all__

496 from pygeodesy.fmath import * # PYCHOK __all__

497 from pygeodesy.formy import * # PYCHOK __all__

498 from pygeodesy.frechet import * # PYCHOK __all__

499 from pygeodesy.fstats import * # PYCHOK __all__

500 from pygeodesy.fsums import * # PYCHOK __all__

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

502 from pygeodesy.geodesicw import * # PYCHOK __all__

503 from pygeodesy.geodesicx import * # PYCHOK __all__

504 from pygeodesy.geodsolve import * # PYCHOK __all__

505 from pygeodesy.geohash import Geohash, GeohashError, \

506 Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily

507 from pygeodesy.geoids import * # PYCHOK __all__

508 from pygeodesy.hausdorff import * # PYCHOK __all__

509 from pygeodesy.heights import * # PYCHOK __all__

510 from pygeodesy.interns import * # PYCHOK __all__

511 from pygeodesy.iters import * # PYCHOK __all__

512 from pygeodesy.karney import * # PYCHOK __all__

513 from pygeodesy.ktm import * # PYCHOK __all__

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

515 from pygeodesy.lazily import * # PYCHOK __all__

516 from pygeodesy.lcc import * # PYCHOK __all__

517 from pygeodesy.ltp import * # PYCHOK __all__

518 from pygeodesy.ltpTuples import * # PYCHOK __all__

519 from pygeodesy.mgrs import * # PYCHOK __all__

520 from pygeodesy.named import * # PYCHOK __all__

521 from pygeodesy.namedTuples import * # PYCHOK __all__

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

523 from pygeodesy.osgr import * # PYCHOK __all__

524 from pygeodesy.points import * # PYCHOK __all__

525 from pygeodesy.props import * # PYCHOK __all__

526 from pygeodesy.resections import * # PYCHOK __all__

527 from pygeodesy.rhumbsolve import * # PYCHOK __all__

528 from pygeodesy.rhumbx import * # PYCHOK __all__

529 from pygeodesy.simplify import * # PYCHOK __all__

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

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

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

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

534 from pygeodesy.streprs import * # PYCHOK __all__

535 from pygeodesy.trf import * # PYCHOK __all__

536 from pygeodesy.triaxials import * # PYCHOK __all__

537 from pygeodesy.units import * # PYCHOK __all__

538 from pygeodesy.unitsBase import * # PYCHOK __all__

539 from pygeodesy.ups import * # PYCHOK __all__

540 from pygeodesy.utily import * # PYCHOK __all__

541 from pygeodesy.utm import * # PYCHOK __all__

542 from pygeodesy.utmups import * # PYCHOK __all__

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

544 from pygeodesy.vector2d import * # PYCHOK __all__

545 from pygeodesy.vector3d import * # PYCHOK __all__

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

547 from pygeodesy.webmercator import * # PYCHOK __all__

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

549

550 def _all(globalocals):

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

552 _DOT_, _module_, _s_ # PYCHOK expected

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

554 # collect all public module and attribute names and check

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

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

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

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

559 ns = list(lazily._ALL_INIT)

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

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

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 attributes do exist

567 if attrs and isinstance(attrs, tuple):

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

569 if t:

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

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

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

573 ns.extend(attrs)

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

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

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

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

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

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

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

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

582

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

584 else:

585 __all__ = ()

586 _init__all__ = False

587

588 from pygeodesy.interns import _DOT_ # PYCHOK import

589__version__ = '23.05.21'

590# see setup.py for similar logic

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

592

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

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

595

596# **) MIT License

597#

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

599#

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

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

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

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

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

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

606#

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

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

609#

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

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

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

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

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

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

616# OTHER DEALINGS IN THE SOFTWARE.