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 (C) 2005-2024}

11 and from several U{C++ classes<https://GeographicLib.SourceForge.io/C++/doc/annotated.html>} by I{Charles F. F.

12 Karney (C) 2008-2024} and published under the same U{MIT License<https://OpenSource.org/licenses/MIT>}**.

13

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

15 and two for spherical ones, C{sphericalTrigonometry} and C{-Nvector}. Each module provides a geodetic B{C{LatLon}}

16 and a geocentric B{C{Cartesian}} class with methods and functions to compute distance, surface area, perimeter,

17 forward and reverse azimuth, initial and final bearing, intermediate and nearest points, intersections of geodesic,

18 great circle and rhumb lines, circle intersections and secants, U{3-point resections

19<https://WikiPedia.org/wiki/Position_resection_and_intersection>}, triangulation, trilateration (by intersection,

20 by overlap and in 3-D), conversions and unrolling, among other things. For more information and further details see

21 the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}, the descriptions of U{Latitude/Longitude

22<https://www.Movable-Type.co.UK/scripts/latlong.html>}, U{Vincenty

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

24<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>} geodesy, the original U{JavaScript source

25<https://GitHub.com/ChrisVeness/geodesy>} or U{docs<https://www.Movable-Type.co.UK/scripts/geodesy/docs>}

26 and I{Karney}'s Python U{geographiclib<https://PyPI.org/project/geographiclib>} and C++ U{GeographicLib

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

28

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

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

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

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

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

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

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

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

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

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

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

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

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

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

43

44 Other modules provide U{Albers equal-area

45<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant

46<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AzimuthalEquidistant.html>} and other I{azimuthal}

47 projections, Lambert I{conformal conic} projections and positions, functions to clip paths or polygons of C{LatLon}

48 points using the U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>},

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

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

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

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

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

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

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

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

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

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

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

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

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

62 wiki/Hausdorff_distance>} distances.

63

64 Installation

65============

66

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

68 PyGeodesy} in a terminal or command window.

69

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

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

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

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

74

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

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

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

78

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

80 before or after installation.

81

82 Dependencies

83============

84

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

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

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

88

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

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

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

92

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

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

95

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

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

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

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

100

101 Class L{Intersectool} in module L{geodesici} needs I{Karney}'s C++ utility U{IntersectTool

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

103 env variable C{PYGEODESY_INTERSECTTOOL}.

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{rhumb.solve} 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 3.13.0 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0),

126 Python 3.12.7 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0,

127 U{numpy<https://PyPI.org/project/numpy>} 2.1.0, U{scipy<https://PyPI.org/project/scipy>} 1.14.1,

128 U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3,

129 U{IntersectTool<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3 and

130 U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3),

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

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

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

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

135 U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3,

136 U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3) and

137 Python 2.7.18 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.50,

138 U{numpy<https://PyPI.org/project/numpy>} 1.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2,

139 U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3,

140 U{GeodSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3,

141 U{IntersectTool<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3 and

142 U{RhumbSolve<https://GeographicLib.SourceForge.io/C++/doc/utilities.html>} 2.3), all in 64-bit on macOS 14.6.1 Sonoma.

143

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

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

146 the distribution files.

147

148 Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.6.1 using Python

149 3.13.0, 3.12.7, 3.11.5 and 3.10.8. The complete coverage report in HTML and a PDF summary are included in

150 the distribution files.

151

152 Python 3.13.0, 3.12.7, 3.11.5 and 3.10.8 run on Apple M1 Silicon (C{arm64}), I{natively}. Python 2.7.18 runs

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

154

155 The tests also ran with Python 3.13.0 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on

156 U{Debian 12<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only, with Python 3.12.5 (and

157 U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on U{Windows

158 2019Server<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64-bit only and with Python 2.7.18 (and

159 U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows

160 10<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64- and 32-bit.

161

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

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

164

165 Previously, the tests were run with Python 3.12.0-6, 3.11.2-4, 3.10.1-7, 3.9.6, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy

166<https://PyPy.org>} 7.3.12 (Python 3.10.12), 7.3.1 (Python 3.6.9) and U{PyPy<https://PyPy.org>} 7.1.1 (Python

167 2.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>}

168 1.16.3, 1.16.4, 1.16.6, 1.19.0, 1.19.4, 1.19.5 or 1.22.4 and U{scipy<https://PyPI.org/project/scipy>} 1.2.1, 1.4.1,

169 1.5.2 or 1.8.1) on U{Ubuntu 16.04<https://Travis-CI.com/mrJean1/PyGeodesy>}, with Python 3.10.0-1, 3.9.0-5, 3.8.0-6,

170 3.7.2-6, 3.7.0, 3.6.2-5, 3.5.3, 2.7.13-17, 2.7.10 and 2.6.9 (and U{numpy<https://PyPI.org/project/numpy>} 1.19.0,

171 1.16.5, 1.16.2, 1.15.2, 1.14.0, 1.13.1, 1.8.0rc1 or 1.6.2 and U{scipy<https://PyPI.org/project/scipy>} 1.5.0), U{PyPy

172<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)

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

174<https://PyPI.org/project/numpy>} 1.11.3) on macOS 14.0-5 Sonoma, 13.0-5.2 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1

175 Big Sur (aka 10.16), 10.15.3, 10.15.5-7 Catalina, 10.14 Mojave, 10.13.6 High Sierra and 10.12 Sierra, MacOS X

176 10.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with

177 geographiclib 1.50 or 1.49 and numpy 1.8.0) on iOS 14.4.2, 11.4.1, 12.0-3 on iPad4, iPhone6, iPhone10 and/or

178 iPhone12, with U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3

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

180 32-bit Python 2.6.6 on Windows XP SP3.

181

182 Notes

183=====

184

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

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

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

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

189 using Python 3.11.5, both in 64-bit on macOS 14.6.1 Sonoma.

190

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

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

193

194 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

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

196

197 Env variables

198=============

199

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

201

202 - C{PYGEODESY_EXCEPTION_CHAINING} - see module L{errors<pygeodesy.errors>}.

203 - C{PYGEODESY_FMT_FORM} - see module L{dms<pygeodesy.dms>}.

204 - C{PYGEODESY_FSUM_F2PRODUCT} - see module L{fsums<pygeodesy.fsums>} and method L{f2product<pygeodesy.Fsum.f2product>}.

205 - C{PYGEODESY_FSUM_NONFINITES} - see module L{fsums<pygeodesy.fsums>} and method L{nonfinites<pygeodesy.Fsum.nonfinites>}.

206 - C{PYGEODESY_FSUM_RESIDUAL} - see module L{fsums<pygeodesy.fsums>} and method L{RESIDUAL<pygeodesy.Fsum.RESIDUAL>}.

207 - C{PYGEODESY_GEOCONVERT} - see module L{mgrs<pygeodesy.mgrs>}.

208 - C{PYGEODESY_GEODSOLVE} - see module L{geodsolve<pygeodesy.geodsolve>}.

209 - C{PYGEODESY_INTERSECTTOOL} - see module L{geodesici<pygeodesy.geodesici>}.

210 - C{PYGEODESY_LAZY_IMPORT} - see module L{lazily<pygeodesy.lazily>} and variable L{isLazy<pygeodesy.isLazy>}.

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

212 - C{PYGEODESY_RHUMBSOLVE} - see module L{rhumb.solve<pygeodesy.rhumb.solve>}.

213 - C{PYGEODESY_UPS_POLES} - see modules L{ups<pygeodesy.ups>} and L{mgrs<pygeodesy.mgrs>}.

214

215 and these to specify standard or I{named} C{repr}esentations:

216

217 - C{PYGEODESY_AZIMUTH_STD_REPR} - see method L{Azimuth<pygeodesy.Azimuth>}C{.__repr__}.

218 - C{PYGEODESY_BEARING_STD_REPR} - see method L{Bearing<pygeodesy.Bearing>}C{.__repr__}.

219 - C{PYGEODESY_BOOL_STD_REPR} - see method L{Bool<pygeodesy.Bool>}C{.__repr__}.

220 - C{PYGEODESY_DEGREES_STD_REPR} - see method L{Degrees<pygeodesy.Degrees>}C{.__repr__}.

221 - C{PYGEODESY_EPOCH_STD_REPR} - see method L{Float<pygeodesy.Epoch>}C{.__repr__}.

222 - C{PYGEODESY_FLOAT_STD_REPR} - see method L{Float<pygeodesy.Float>}C{.__repr__}.

223 - C{PYGEODESY_INT_STD_REPR} - see method L{Int<pygeodesy.Int>}C{.__repr__}.

224 - C{PYGEODESY_METER_STD_REPR} - see method L{Meter<pygeodesy.Meter>}C{.__repr__}.

225 - C{PYGEODESY_RADIANS_STD_REPR} - see method L{Radians<pygeodesy.Radians>}C{.__repr__}.

226 - C{PYGEODESY_STR_STD_REPR} - see method L{Str<pygeodesy.Str>}C{.__repr__}.

227

228 plus during development:

229

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

231 - C{PYGEODESY_GEOGRAPHICLIB} - see module L{karney<pygeodesy.karney>}.

232 - C{PYGEODESY_WARNINGS} - see module L{props<pygeodesy.props>} and function L{DeprecationWarnings<pygeodesy.DeprecationWarnings>}.

233 - C{PYGEODESY_XPACKAGES} - see module L{basics<pygeodesy.basics>}.

234 - C{PYTHONDEVMODE} - see modules L{errors<pygeodesy.errors>} and L{props<pygeodesy.props>}.

235

236 and:

237

238 - C{PYGEODESY_INIT__ALL__} - Set env variable C{PYGEODESY_INIT__ALL__} to anything other than C{"__all__"} to avoid

239 importing all C{pygeodesy} modules unnecessarily (in Python 2 or with C{PYGEODESY_LAZY_IMPORT} turned off in Python

240 3). However, to import a C{pygeodesy} item, the item name must be qualified with the C{module} name, for example

241 C{ from pygeodesy.ellipsoidalExact import LatLon } or C{ from pygeodesy.deprecated import collins }

242

243 License

244=======

245

246**) U{Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.<https://OpenSource.org/licenses/MIT>}

247

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

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

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

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

252 subject to the following conditions:}

253

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

255 portions of the Software.}

256

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

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

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

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

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

262

263@newfield example: Example, Examples

264

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

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

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

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

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

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

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

272

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

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

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

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

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

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

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

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

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

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

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

284

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

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

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

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

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

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

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

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

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

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

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

296

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

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

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

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

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

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

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

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

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

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

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

308

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

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

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

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

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

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

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

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

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

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

319

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

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

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

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

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

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

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

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

328

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

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

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

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

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

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

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

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

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

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

339

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

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

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

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

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

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

346

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

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

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

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

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

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

353

354@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.

355

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

357

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

359'''

360

361 import os.path as _os_path

362 import sys as _sys

363

364_init__all__ = True

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

366_isfrozen = getattr(_sys, 'frozen', False)

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

368_pygeodesy_ = __package__ or _os_path.basename(pygeodesy_abspath)

369

370 if _isfrozen: # avoid lazy import

371 _lazy_import2 = None

372 else:

373 # setting __path__ should ...

374 __path__ = [pygeodesy_abspath]

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

376 import pygeodesy.lazily as _

377 except ImportError: # ... if it doesn't, extend _sys.path to include

378 # this very directory such that all public and private sub-modules

379 # can be imported (by epydoc, checked by PyChecker, etc.)

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

381

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

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

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

385

386 except (ImportError, NotImplementedError): # LazyImportError

387 _lazy_import2 = None

388

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

390

391 # import all public modules and export as such

392 import pygeodesy.albers as albers # PYCHOK exported

393 import pygeodesy.auxilats as auxilats # PYCHOK exported

394 import pygeodesy.azimuthal as azimuthal # PYCHOK exported

395 import pygeodesy.basics as basics # PYCHOK exported

396 import pygeodesy.booleans as booleans # PYCHOK exported

397 import pygeodesy.cartesianBase as cartesianBase # PYCHOK INTERNAL

398 import pygeodesy.clipy as clipy # PYCHOK exported

399 import pygeodesy.constants as constants # PYCHOK exported

400 import pygeodesy.css as css # PYCHOK exported

401 import pygeodesy.datums as datums # PYCHOK exported

402 import pygeodesy.deprecated as deprecated # PYCHOK exported

403 import pygeodesy.dms as dms # PYCHOK exported

404 import pygeodesy.ecef as ecef # PYCHOK exported

405 import pygeodesy.elevations as elevations # PYCHOK exported

406 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK INTERNAL

407 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK INTERNAL

408 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported

409 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported

410 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported

411 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported

412 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported

413 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported

414 import pygeodesy.elliptic as elliptic # PYCHOK exported

415 import pygeodesy.epsg as epsg # PYCHOK exported

416 import pygeodesy.etm as etm # PYCHOK exported

417 import pygeodesy.errors as errors # PYCHOK exported

418 import pygeodesy.fmath as fmath # PYCHOK exported

419 import pygeodesy.formy as formy # PYCHOK exported

420 import pygeodesy.frechet as frechet # PYCHOK exported

421 import pygeodesy.fstats as fstats # PYCHOK exported

422 import pygeodesy.fsums as fsums # PYCHOK exported

423 import pygeodesy.gars as gars # PYCHOK exported

424 import pygeodesy.geodesici as geodesici # PYCHOK exported

425 import pygeodesy.geodesicw as geodesicw # PYCHOK exported

426 import pygeodesy.geodesicx as geodesicx # PYCHOK exported

427 import pygeodesy.geodsolve as geodsolve # PYCHOK exported

428 import pygeodesy.geohash as geohash # PYCHOK exported

429 import pygeodesy.geoids as geoids # PYCHOK exported

430 import pygeodesy.hausdorff as hausdorff # PYCHOK exported

431 import pygeodesy.heights as heights # PYCHOK exported

432 import pygeodesy.internals as internals # PYCHOK exported

433 import pygeodesy.interns as interns # PYCHOK exported

434 import pygeodesy.iters as iters # PYCHOK exported

435 import pygeodesy.karney as karney # PYCHOK exported

436 import pygeodesy.ktm as ktm # PYCHOK exported

437 import pygeodesy.latlonBase as latlonBase # PYCHOK INTERNAL

438 import pygeodesy.lazily as lazily # PYCHOK exported

439 import pygeodesy.lcc as lcc # PYCHOK exported

440 import pygeodesy.ltp as ltp # PYCHOK exported

441 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported

442 import pygeodesy.mgrs as mgrs # PYCHOK exported

443 import pygeodesy.named as named # PYCHOK exported

444 import pygeodesy.namedTuples as namedTuples # PYCHOK exported

445 import pygeodesy.nvectorBase as nvectorBase # PYCHOK INTERNAL

446 import pygeodesy.osgr as osgr # PYCHOK exported

447 import pygeodesy.points as points # PYCHOK exported

448 import pygeodesy.props as props # PYCHOK exported

449 import pygeodesy.resections as resections # PYCHOK exported

450 import pygeodesy.rhumb as rhumb # PYCHOK exported

451 import pygeodesy.simplify as simplify # PYCHOK exported

452 import pygeodesy.sphericalBase as sphericalBase # PYCHOK INTERNAL

453 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported

454 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported

455 import pygeodesy.solveBase as solveBase # PYCHOK exported

456 import pygeodesy.streprs as streprs # PYCHOK exported

457 import pygeodesy.trf as trf # PYCHOK exported

458 import pygeodesy.triaxials as triaxials # PYCHOK exported

459 import pygeodesy.units as units # PYCHOK exported

460 import pygeodesy.unitsBase as unitsBase # PYCHOK INTERNAL

461 import pygeodesy.ups as ups # PYCHOK exported

462 import pygeodesy.utily as utily # PYCHOK exported

463 import pygeodesy.utm as utm # PYCHOK exported

464 import pygeodesy.utmups as utmups # PYCHOK exported

465 import pygeodesy.utmupsBase as utmupsBase # PYCHOK INTERNAL

466 import pygeodesy.vector2d as vector2d # PYCHOK exported

467 import pygeodesy.vector3d as vector3d # PYCHOK exported

468 import pygeodesy.vector3dBase as vector3dBase # PYCHOK INTERNAL

469 import pygeodesy.webmercator as webmercator # PYCHOK exported

470 import pygeodesy.wgrs as wgrs # PYCHOK exported

471

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

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

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

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

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

477 from pygeodesy.albers import * # PYCHOK __all__

478 from pygeodesy.azimuthal import * # PYCHOK __all__

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

480 from pygeodesy.basics import * # PYCHOK __all__

481 from pygeodesy.booleans import * # PYCHOK __all__

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

483 from pygeodesy.clipy import * # PYCHOK __all__

484 from pygeodesy.constants import * # PYCHOK __all__

485 from pygeodesy.css import * # PYCHOK __all__

486 from pygeodesy.datums import * # PYCHOK __all__

487 from pygeodesy.deprecated import * # PYCHOK __all__ DEPRECATED

488 from pygeodesy.dms import * # PYCHOK __all__

489 from pygeodesy.ecef import * # PYCHOK __all__

490 from pygeodesy.elevations import * # PYCHOK __all__

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

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

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

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

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

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

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

498 from pygeodesy.ellipsoids import * # PYCHOK __all__

499 from pygeodesy.elliptic import * # PYCHOK __all__

500 from pygeodesy.epsg import * # PYCHOK __all__

501 from pygeodesy.etm import * # PYCHOK __all__

502 from pygeodesy.errors import * # PYCHOK __all__

503 from pygeodesy.fmath import * # PYCHOK __all__

504 from pygeodesy.formy import * # PYCHOK __all__

505 from pygeodesy.frechet import * # PYCHOK __all__

506 from pygeodesy.fstats import * # PYCHOK __all__

507 from pygeodesy.fsums import * # PYCHOK __all__

508 from pygeodesy.gars import * # PYCHOK __all__

509 from pygeodesy.geodesici import * # PYCHOK __all__

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 * # PYCHOK __all__

514 from pygeodesy.geoids import * # PYCHOK __all__

515 from pygeodesy.hausdorff import * # PYCHOK __all__

516 from pygeodesy.heights import * # PYCHOK __all__

517 from pygeodesy.internals 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 __(_)__ INTERNAL

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 __(_)__ INTERNAL

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.rhumb import * # PYCHOK __all__

536 from pygeodesy.simplify import * # PYCHOK __all__

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

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

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

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

541 from pygeodesy.streprs import * # PYCHOK __all__

542 from pygeodesy.trf import * # PYCHOK __all__

543 from pygeodesy.triaxials import * # PYCHOK __all__

544 from pygeodesy.units import * # PYCHOK __all__

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

546 from pygeodesy.ups import * # PYCHOK __all__

547 from pygeodesy.utily import * # PYCHOK __all__

548 from pygeodesy.utm import * # PYCHOK __all__

549 from pygeodesy.utmups import * # PYCHOK __all__

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

551 from pygeodesy.vector2d import * # PYCHOK __all__

552 from pygeodesy.vector3d import * # PYCHOK __all__

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

554 from pygeodesy.webmercator import * # PYCHOK __all__

555 from pygeodesy.wgrs import * # PYCHOK __all__

556

557 def _all(globalocals):

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

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

560 _module_, _s_, _UNDER_ # PYCHOK expected

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

562 # collect all public module and attribute names and check

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

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

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

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

567 ns = list(lazily._ALL_INIT)

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

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

570 mod = _headof(_headof(mod))

571 if mod not in globalocals:

572 t = _DOT_(_pygeodesy_, mod)

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

574 ns.append(mod)

575 # check that all other public attrs do exist

576 if attrs and isinstance(attrs, tuple):

577 attrs = lazily._ALL_ATTRS(attrs)

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(_DUNDER_nameof(m) == mod)

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

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

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

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

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

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

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

593

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

595 else:

596 __all__ = ()

597 _init__all__ = False

598

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

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

601__version__ = '24.11.11'

602# see setup.py for similar logic

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

604

605 del _DOT_, _lazy_import2, _os_path, _sys, _version2

606

607# **) MIT License

608#

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

610#

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

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

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

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

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

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

617#

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

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

620#

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

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

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

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

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

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

627# OTHER DEALINGS IN THE SOFTWARE.