Coverage for pygeodesy/__init__.py: 98%
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2# -*- coding: utf-8 -*-
4u'''A pure Python implementation of geodesy tools for various ellipsoidal and spherical earth
5models using precision trigonometric, vector-based, exact, elliptic, iterative and approximate
6methods for geodetic (lat-/longitude), geocentric (U{ECEF<https://WikiPedia.org/wiki/ECEF>}
7cartesian) and certain U{triaxial ellipsoidal<https://GeographicLib.SourceForge.io/1.44/triaxial.html>}
8coordinates.
10Transcoded 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>}
12by I{Charles F. F. Karney (C) 2008-2023} and published under the same U{MIT License
13<https://OpenSource.org/licenses/MIT>}**.
15There are four modules for ellipsoidal earth models, C{ellipsoidalExact}, C{-Karney},
16C{-Vincenty} and C{-Nvector} and two for spherical ones, C{sphericalTrigonometry}
17and C{-Nvector}. Each module provides a geodetic B{C{LatLon}} and a geocentric
18B{C{Cartesian}} class with methods and functions to compute distance, surface area,
19perimeter, initial and final bearing, intermediate and nearest points, circle intersections
20and secants, path intersections, U{3-point resections<https://WikiPedia.org/wiki/
21Position_resection_and_intersection>}, rhumb and rhumb lines, triangulation, trilateration
22(by intersection, by overlap and in 3d), conversions and unrolling, among other things. For
23more information and further details see the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>},
24the descriptions of U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>},
25U{Vincenty<https://www.Movable-Type.co.UK/scripts/latlong-vincenty.html>} and U{Vector-based
26<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>} geodesy, the original U{JavaScript
27source<https://GitHub.com/ChrisVeness/geodesy>} or U{docs<https://www.Movable-Type.co.UK/scripts/geodesy/docs>}
28and I{Karney}'s Python U{geographiclib<https://PyPI.org/project/geographiclib>} and U{C++ GeographicLib
29<https://GeographicLib.SourceForge.io/C++/doc/index.html>}.
31Also included are modules for conversions to and from U{Cassini-Soldner
32<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1CassiniSoldner.html>},
33U{ECEF<https://WikiPedia.org/wiki/ECEF>} (Earth-Centered, Earth-Fixed cartesian), U{UTM
34<https://www.Movable-Type.co.UK/scripts/latlong-utm-mgrs.html>} (Universal Transverse Mercator
35and U{Exact<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1TransverseMercatorExact.html>}),
36U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} (Universal Polar
37Stereographic) and U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (Pseudo-Mercator) coordinates,
38U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1MGRS.html>} (Military Grid Reference
39System, UTM I{and} UPS) and U{OSGR<https://www.Movable-Type.co.UK/scripts/latlong-os-gridref.html>} (British
40Ordinance Survery Grid Reference) grid references, U{TRF<http://ITRF.ENSG.IGN.Fr>} (Terrestrial Reference
41Frames) and modules to encode and decode U{EPSG<https://EPSG.org>}, U{Geohashes
42<https://www.Movable-Type.co.UK/scripts/geohash.html>}, U{Georefs (WGRS)
43<https://WikiPedia.org/wiki/World_Geographic_Reference_System>} and U{Garefs (GARS)
44<https://WikiPedia.org/wiki/Global_Area_Reference_System>}.
46Other modules provide U{Albers equal-area<https://GeographicLib.SourceForge.io/
47html/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant
48<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AzimuthalEquidistant.html>}
49and other I{azimuthal} projections, Lambert I{conformal conic} projections and
50positions, functions to clip paths or polygons of C{LatLon} points using the
51U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>},
52U{Forster-Hormann-Popa<https://www.ScienceDirect.com/science/article/pii/S259014861930007X>},
53U{Greiner-Hormann<http://www.inf.USI.CH/hormann/papers/Greiner.1998.ECO.pdf>},
54U{Liang-Barsky<https://www.CS.Helsinki.FI/group/goa/viewing/leikkaus/intro.html>} and
55U{Sutherland-Hodgman<https://WikiPedia.org/wiki/Sutherland-Hodgman_algorithm>} methods,
56functions to U{simplify<https://Bost.Ocks.org/mike/simplify>} or linearize a path of C{LatLon}
57points (or a U{NumPy array<https://docs.SciPy.org/doc/numpy/reference/generated/numpy.array.html>}),
58including implementations of the U{Ramer-Douglas-Peucker<https://WikiPedia.org/wiki/
59Ramer-Douglas-Peucker_algorithm>}, the U{Visvalingam-Whyatt<https://hydra.Hull.ac.UK/
60resources/hull:8338>} and the U{Reumann-Witkam<https://psimpl.SourceForge.net/reumann-witkam.html>}
61algorithms and modified versions of the former. Other classes provide I{boolean} operations between
62(composite) polygons or U{interpolate <https://docs.SciPy.org/doc/scipy/reference/interpolate.html>}
63the L{height<pygeodesy.heights>} of C{LatLon} points and L{Geoid<pygeodesy.geoids>} models, compute
64various U{Fréchet<https://WikiPedia.org/wiki/Frechet_distance>} or U{Hausdorff<https://WikiPedia.org/
65wiki/Hausdorff_distance>} distances.
67Installation
68============
70To install PyGeodesy, type C{python[3] -m pip install PyGeodesy} or C{python[3] -m easy_install
71PyGeodesy} in a terminal or command window.
73If the wheel C{PyGeodesy-yy.m.d-py2.py3-none-any.whl} is missing in U{PyPI Download files<https://
74PyPI.org/project/PyGeodesy/#files>}, download the file from U{GitHub/dist<https://GitHub.com/mrJean1/
75PyGeodesy/tree/master/dist>}. Install that with C{python[3] -m pip install <path-to-downloaded-wheel>}
76and verify with C{python[3] -m pygeodesy}.
78Alternatively, download C{PyGeodesy-yy.m.d.zip} from U{PyPI<https://PyPI.org/project/PyGeodesy>}
79or U{GitHub<https://GitHub.com/mrJean1/PyGeodesy>}, C{unzip} the downloaded file, C{cd} to
80directory C{Pygeodesy-yy.m.d} and type C{python[3] setup.py install}.
82To run all PyGeodesy tests, type C{python[3] test/run.py} or type C{python[3] test/unitTestSuite.py}
83before or after installation.
85Dependencies
86============
88Installation of I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>}
89is optional, but required to use modules L{ellipsoidalKarney} and L{css}, L{azimuthal} classes
90L{EquidistantKarney} and L{GnomonicKarney} and the L{HeightIDWkarney} interpolator.
92Both U{numpy<https://PyPI.org/project/numpy>} and U{scipy<https://PyPI.org/project/scipy>} must be
93installed for most L{Geoid...<pygeodesy.geoids>} and L{Height...<pygeodesy.heights>} interpolators,
94except L{GeoidKarney} and the L{HeightIDW...<pygeodesy.heights>} ones.
96Functions and C{LatLon} methods L{circin6}, L{circum3}, L{circum4_}, L{soddy4}, L{trilaterate3d2} do and
97C{trilaterate5} and modules L{auxilats} and L{rhumb} may require U{numpy<https://PyPI.org/project/numpy>}.
99Modules L{ellipsoidalGeodSolve} and L{geodsolve} and L{azimuthal} classes L{EquidistantGeodSolve}
100and L{GnomonicGeodSolve} depend on I{Karney}'s C++ utility U{GeodSolve
101<https://GeographicLib.SourceForge.io/C++/doc/GeodSolve.1.html>} to be executable and set with
102env variable C{PYGEODESY_GEODSOLVE} or with property L{Ellipsoid.geodsolve}.
104To compare C{MGRS} results from modules L{mgrs} and C{testMgrs} with I{Karney}'s C++ utility
105U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html>}, the latter must
106be executable and set with env variable C{PYGEODESY_GEOCONVERT}.
108Module L{rhumb.solve} needs I{Karney}'s C++ utility U{RhumbSolve
109<https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} to be executable and set with
110env variable C{PYGEODESY_RHUMBSOLVE} or with property L{Ellipsoid.rhumbsolve}.
112Documentation
113=============
115In addition to the C{pygeodesy} package, the U{PyGeodesy<https://PyPI.org/project/PyGeodesy>}
116U{distribution files<https://GitHub.com/mrJean1/PyGeodesy/tree/master/dist>} contain the tests,
117the test results (on macOS only) and the complete U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}
118(generated by U{Epydoc<https://PyPI.org/project/epydoc>} using command line:
119C{epydoc --html --no-private --no-source --name=PyGeodesy --url=... -v pygeodesy}).
121Tests
122=====
124The tests ran with Python 3.12 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0,
125Python 3.11.5 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, U{numpy
126<https://PyPI.org/project/numpy>} 1.24.2 and U{scipy<https://PyPI.org/project/scipy>} 1.10.1), Python
1273.10.8 (with U{geographiclib <https://PyPI.org/project/geographiclib>} 2.0, U{numpy
128<https://PyPI.org/project/numpy>} 1.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, U{GeoConvert
129<https://GeographicLib.SourceForge.io/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 and Python 2.7.18 (with
132U{geographiclib<https://PyPI.org/project/geographiclib>} 1.50, U{numpy<https://PyPI.org/project/numpy>}
1331.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2, U{GeoConvert
134<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2, U{GeodSolve
135<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2 and U{RhumbSolve
136<https://GeographicLib.SourceForge.io/html/utilities.html>} 2.2), all on macOS 14.1.2 Sonoma and
137in 64-bit only.
139All tests ran with and without C{lazy import} for Python 3 and with command line option C{-W default} and
140env variable C{PYGEODESY_WARNINGS=on} for all Python versions. The results of those tests are included in
141the distribution files.
143Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 7.2.2 using only Python 3.11.5
144and 3.10.8. The complete coverage report in HTML and a PDF summary are included in the distribution files.
146PyPy 7.3.12 (Python 3.10.12), Python 3.11.5, 3.10.8 and 3.9.6 ran on Apple M1 Silicon (C{arm64}), I{natively}.
147Python 3.8.10 and 2.7.18 ran on Intel (C{x86_64}) or Intel I{emulation} ("C{arm64_x86_64}", see function
148L{pygeodesy.machine}).
150The tests also ran with Python 3.11.5 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on
151U{Debian 11<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only and with Python 3.11.5,
1523.10.10 and 2.7.18 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows 10
153<https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64- and/or 32-bit.
155A single-File and single-Directory application with C{pygeodesy} has been bundled using U{PyInstaller
156<https://PyPI.org/project/pyinstaller>} 3.4 and 64-bit Python 3.7.3 on macOS 10.13.6 High Sierra.
158Previously, the tests were run with Python 3.11.2-4, 3.10.1-7, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy
159<https://PyPy.org>} 7.3.12 (Python 3.10.12), 7.3.1 (Python 3.6.9) and U{PyPy<https://PyPy.org>} 7.1.1 (Python
1602.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>}
1611.16.3, 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,
1621.5.2 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,
1633.7.2-6, 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,
1641.16.5, 1.16.2, 1.15.2, 1.14.0, 1.13.1, 1.8.0rc1 or 1.6.2 and U{scipy<https://PyPI.org/project/scipy>} 1.5.0), U{PyPy
165<https://PyPy.org>} 7.3.0 (Python 2.7.13 and 3.6.9), U{PyPy<https://PyPy.org>} 6.0.0 (Python 2.7.13 and 3.5.3)
166and U{Intel-Python<https://software.Intel.com/en-us/distribution-for-python>} 3.5.3 (and U{numpy
167<https://PyPI.org/project/numpy>} 1.11.3) on macOS 14.0 Sonoma, 13.0-5.2 Ventura, 12.1-6 Monterey, 11.0-5.2-6.1
168Big 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
16910.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista<https://OMZ-Software.com/pythonista>}3.2 (with
170geographiclib 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
171iPhone12, with U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3
172on iPad4, all in 64-bit only and with 32-bit Python 2.7.14 on Windows Server 2012R2, Windows 10 Pro and with
17332-bit Python 2.6.6 on Windows XP SP3.
175Notes
176=====
178All Python source code has been statically U{checked<https://GitHub.com/ActiveState/code/tree/master/recipes/
179Python/546532_PyChecker_postprocessor>} with U{PyChecker<https://PyPI.org/project/pychecker>}, U{PyFlakes
180<https://PyPI.org/project/pyflakes>}, U{PyCodeStyle<https://PyPI.org/project/pycodestyle>} (formerly Pep8) and
181U{McCabe<https://PyPI.org/project/mccabe>} using Python 2.7.18 and with U{Flake8<https://PyPI.org/project/flake8>}
182using Python 3.11.5, both in 64-bit on macOS 14.1.2 Sonoma.
184For a summary of all I{Karney}-based functionality in C{pygeodesy}, see module U{karney
185<https://mrJean1.GitHub.io/PyGeodesy/docs/pygeodesy.karney-module.html>}.
187In 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
188characters and if so, I{not} C{unicode}.
190Env variables
191=============
193The following environment variables are observed by C{PyGeodesy}:
195 - C{PYGEODESY_EXCEPTION_CHAINING} - see module L{pygeodesy.errors}.
196 - C{PYGEODESY_FMT_FORM} - see module L{pygeodesy.dms}.
197 - C{PYGEODESY_FSUM_PARTIALS} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}.
198 - C{PYGEODESY_FSUM_RESIDUAL} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}.
199 - C{PYGEODESY_GEOCONVERT} - see module L{pygeodesy.mgrs}.
200 - C{PYGEODESY_GEODSOLVE} - see module L{pygeodesy.geodsolve}.
201 - C{PYGEODESY_LAZY_IMPORT} - see module L{pygeodesy.lazily} and variable L{pygeodesy.isLazy}.
202 - C{PYGEODESY_NOTIMPLEMENTED} - __special__ methods return C{NotImplemented} if set to "std".
203 - C{PYGEODESY_RHUMBSOLVE} - see module L{pygeodesy.rhumb.solve}.
204 - C{PYGEODESY_UPS_POLES} - see modules L{pygeodesy.ups} and L{pygeodesy.mgrs}.
206and these to control standard or I{named} C{repr}esentations:
208 - C{PYGEODESY_BEARING_STD_REPR} - see method L{pygeodesy.Bearing}C{.__repr__}.
209 - C{PYGEODESY_BOOL_STD_REPR} - see method L{pygeodesy.Bool}C{.__repr__}.
210 - C{PYGEODESY_DEGREES_STD_REPR} - see method L{pygeodesy.Degrees}C{.__repr__}.
211 - C{PYGEODESY_FLOAT_STD_REPR} - see method L{pygeodesy.Float}C{.__repr__}.
212 - C{PYGEODESY_INT_STD_REPR} - see method L{pygeodesy.Int}C{.__repr__}.
213 - C{PYGEODESY_METER_STD_REPR} - see method L{pygeodesy.Meter}C{.__repr__}.
214 - C{PYGEODESY_RADIANS_STD_REPR} - see method L{pygeodesy.Radians}C{.__repr__}.
215 - C{PYGEODESY_STR_STD_REPR} - see method L{pygeodesy.Str}C{.__repr__}.
217plus during development:
219 - C{PYGEODESY_FOR_DOCS} - for extended documentation by C{epydoc}.
220 - C{PYGEODESY_GEOGRAPHICLIB} - see module L{pygeodesy.karney}.
221 - C{PYGEODESY_WARNINGS} - see module L{pygeodesy.props} and function L{pygeodesy.DeprecationWarnings}.
222 - C{PYGEODESY_XPACKAGES} - see module L{pygeodesy.basics}.
223 - C{PYTHONDEVMODE} - see modules L{pygeodesy.errors} and L{pygeodesy.props}.
225and:
227 - C{PYGEODESY_INIT__ALL__} - Set env variable C{PYGEODESY_INIT__ALL__} to anything
228 other than C{"__all__"} to avoid importing all C{pygeodesy} modules unnecessarily
229 (in Python 2 or with C{PYGEODESY_LAZY_IMPORT} turned off in Python 3). However,
230 to import a C{pygeodesy} item, the item name must be qualified with the C{module}
231 name, for example C{ from pygeodesy.ellipsoidalExact import LatLon } or C{ from
232 pygeodesy.deprecated import collins }
234License
235=======
237**) U{Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.
238<https://OpenSource.org/licenses/MIT>}
240C{Permission is hereby granted, free of charge, to any person obtaining a
241copy of this software and associated documentation files (the "Software"),
242to deal in the Software without restriction, including without limitation
243the rights to use, copy, modify, merge, publish, distribute, sublicense,
244and/or sell copies of the Software, and to permit persons to whom the
245Software is furnished to do so, subject to the following conditions:}
247C{The above copyright notice and this permission notice shall be included
248in all copies or substantial portions of the Software.}
250C{THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
251OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
252FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
253THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
254OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
255ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
256OTHER DEALINGS IN THE SOFTWARE.}
258@newfield example: Example, Examples
260@var EPS: System's M{epsilon} ≈ 2.22044604925e-16 (C{float}).
261@var EPS0: M{EPS**2} ≈ 4.9e-32 for near-zero comparison
262@var EPS02: M{EPS**4} ≈ 2.4e-63 for near-zero squared comparison
263@var EPS1: M{1 - EPS} ≈ 0.9999999999999998 (C{float}).
264@var EPS2: M{EPS * 2} ≈ 4.440892098501e-16 (C{float}).
265@var EPS_2: M{EPS / 2} ≈ 1.110223024625e-16 (C{float}).
266@var EPS4: M{EPS * 4} ≈ 8.881784197001e-16 (C{float}).
268@var F_D: Format degrees as unsigned "deg°" with symbol, plus compass point suffix C{N, S, E} or C{W} (C{str}).
269@var F_DM: Format degrees as unsigned "deg°min′" with symbols, plus suffix (C{str}).
270@var F_DMS: Format degrees as unsigned "deg°min′sec″" with symbols, plus suffix (C{str}).
271@var F_DEG: Format degrees as unsigned "[D]DD" I{without} symbol, plus suffix (C{str}).
272@var F_MIN: Format degrees as unsigned "[D]DDMM" I{without} symbols, plus suffix (C{str}).
273@var F_SEC: Format degrees as unsigned "[D]DDMMSS" I{without} symbols, plus suffix (C{str}).
274@var F_D60: Format degrees as unsigned "[D]DD.MMSS" C{sexagecimal} I{without} symbols, plus suffix (C{str}).
275@var F__E: Format degrees as unsigned "%E" I{without} symbols, plus suffix (C{str}).
276@var F__F: Format degrees as unsigned "%F" I{without} symbols, plus suffix (C{str}).
277@var F__G: Format degrees as unsigned "%G" I{without} symbols, plus suffix (C{str}).
278@var F_RAD: Convert degrees to radians and format as unsigned "RR" with symbol, plus suffix (C{str}).
280@var F_D_: Format degrees as signed "-/deg°" with symbol, I{without} suffix (C{str}).
281@var F_DM_: Format degrees as signed "-/deg°min′" with symbols, I{without} suffix (C{str}).
282@var F_DMS_: Format degrees as signed "-/deg°min′sec″" with symbols, I{without} suffix (C{str}).
283@var F_DEG_: Format degrees as signed "-/[D]DD" I{without} symbol, I{without} suffix (C{str}).
284@var F_MIN_: Format degrees as signed "-/[D]DDMM" I{without} symbols, I{without} suffix (C{str}).
285@var F_SEC_: Format degrees as signed "-/[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).
286@var F_D60_: Format degrees as signed "-/[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).
287@var F__E_: Format degrees as signed "-/%E" I{without} symbols, I{without} suffix (C{str}).
288@var F__F_: Format degrees as signed "-/%F" I{without} symbols, I{without} suffix (C{str}).
289@var F__G_: Format degrees as signed "-/%G" I{without} symbols, I{without} suffix (C{str}).
290@var F_RAD_: Convert degrees to radians and format as signed "-/RR" I{without} symbol, I{without} suffix (C{str}).
292@var F_D__: Format degrees as signed "-/+deg°" with symbol, I{without} suffix (C{str}).
293@var F_DM__: Format degrees as signed "-/+deg°min′" with symbols, I{without} suffix (C{str}).
294@var F_DMS__: Format degrees as signed "-/+deg°min′sec″" with symbols, I{without} suffix (C{str}).
295@var F_DEG__: Format degrees as signed "-/+[D]DD" I{without} symbol, I{without} suffix (C{str}).
296@var F_MIN__: Format degrees as signed "-/+[D]DDMM" I{without} symbols, without suffix (C{str}).
297@var F_SEC__: Format degrees as signed "-/+[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).
298@var F_D60__: Format degrees as signed "-/+[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).
299@var F__E__: Format degrees as signed "-/+%E" I{without} symbols, I{without} suffix (C{str}).
300@var F__F__: Format degrees as signed "-/+%F" I{without} symbols, I{without} suffix (C{str}).
301@var F__G__: Format degrees as signed "-/+%G" I{without} symbols, I{without} suffix (C{str}).
302@var F_RAD__: Convert degrees to radians and format as signed "-/+RR" I{without} symbol, I{without} suffix (C{str}).
304@var DIG: System's M{float decimal digits} = 15 (C{int}).
305@var INF: Infinity (C{float}), see functions L{pygeodesy.isinf} and L{pygeodesy.isfinite} and C{NINF}.
306@var INT0: C{int(0)}, missing Z-components, C{if B{z}=B{INT0}}, see functions L{pygeodesy.isint0}, L{pygeodesy.meeus2}
307@var MANT_DIG: System's M{float mantissa bits} = 53 (C{int}).
308@var MAX: System's M{float max} ≈ 1.798e+308 (C{float}).
309@var MIN: System's M{float min} ≈ 2.225e-308 (C{float}).
310@var NAN: Not-A-Number (C{float}), see function L{pygeodesy.isnan}.
311@var NEG0: Negative 0.0 (C{float}), see function L{pygeodesy.isneg0}.
312@var NINF: Negative infinity (C{float}), see function L{pygeodesy.isninf} and C{INF}.
313@var NN: Empty (C{str}), U{I{Nomen Nescio}<https://Wiktionary.org/wiki/N.N.>}.
315@var PI: Constant M{math.pi} (C{float}).
316@var PI2: Two PI, M{PI * 2}, aka I{Tau} (C{float}).
317@var PI_2: Half PI, M{PI / 2} (C{float}).
318@var PI3: Three PI, M{PI * 3} (C{float}).
319@var PI3_2: One and a half PI, M{PI * 3 / 2} (C{float}).
320@var PI_3: One third PI, M{PI / 3} (C{float}).
321@var PI4: Four PI, M{PI * 4} (C{float}).
322@var PI_4: Quarter PI, M{PI / 4} (C{float}).
324@var R_MA: Equatorial earth radius (C{meter}), WGS84, EPSG:3785.
325@var R_MB: Polar earth radius (C{meter}), WGS84, EPSG:3785.
326@var R_M: Mean (spherical) earth radius (C{meter}).
327@var R_KM: Mean (spherical) earth radius (C{Km}, kilometer).
328@var R_NM: Mean (spherical) earth radius (C{NM}, nautical miles).
329@var R_SM: Mean (spherical) earth radius (C{SM}, statute miles).
330@var R_FM: Former FAI-Sphere earth radius (C{meter}).
331@var R_GM: Average earth radius, distance to geoid surface (C{meter})
332@var R_QM: Earth' (triaxial) quadratic mean radius (C{meter})
333@var R_VM: Aviation/Navigation earth radius (C{meter}).
335@var S_DEG: Degrees symbol, default C{"°"}
336@var S_MIN: Minutes symbol, default C{"′"} aka I{PRIME}
337@var S_SEC: Seconds symbol, default C{"″"} aka I{DOUBLE_PRIME}
338@var S_RAD: Radians symbol, default C{""} aka L{pygeodesy.NN}
339@var S_DMS: If C{True} include, otherwise cancel all DMS symbols, default C{True}.
340@var S_SEP: Separator between C{deg°|min′|sec″|suffix}, default C{""} aka L{pygeodesy.NN}
342@var Conics: Registered, predefined conics (C{enum-like}).
343@var Datums: Registered, predefined datums (C{enum-like}).
344@var Ellipsoids: Registered, predefined ellipsoids (C{enum-like}).
345@var RefFrames: Registered, predefined reference frames (C{enum-like}).
346@var Transforms: Registered, predefined transforms (C{enum-like}).
348@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.
350@var pygeodesy_abspath: Fully qualified C{pygeodesy} directory name (C{str}).
352@var version: Normalized C{PyGeodesy} version (C{str}).
353'''
355from os.path import abspath, basename, dirname
356import sys
358_init__all__ = True
359# <https://PyInstaller.ReadTheDocs.io/en/stable/runtime-information.html>
360_isfrozen = getattr(sys, 'frozen', False)
361pygeodesy_abspath = dirname(abspath(__file__)) # sys._MEIPASS + '/pygeodesy'
362_pygeodesy_ = __package__ or basename(pygeodesy_abspath)
364if _isfrozen: # avoid lazy import
365 _lazy_import2 = None
366else:
367 # setting __path__ should ...
368 __path__ = [pygeodesy_abspath]
369 try: # ... make this import work, ...
370 import pygeodesy.lazily as _
371 except ImportError: # ... if it doesn't, extend
372 # sys.path to include this very directory such
373 # that all public and private sub-modules can
374 # be imported (and checked by PyChecker, etc.)
375 sys.path.insert(0, pygeodesy_abspath) # XXX __path__[0]
377 try: # lazily requires Python 3.7+, see lazily.__doc__
378 from pygeodesy.lazily import _init__all__, _lazy_import2 # PYCHOK expected
379 _, __getattr__ = _lazy_import2(_pygeodesy_) # PYCHOK expected
381 except (ImportError, NotImplementedError): # LazyImportError
382 _lazy_import2 = None
384if _init__all__ and not _lazy_import2: # import and set __all__
386 # import all public modules and export as such
387 import pygeodesy.albers as albers # PYCHOK exported
388 import pygeodesy.auxilats as auxilats # PYCHOK exported
389 import pygeodesy.azimuthal as azimuthal # PYCHOK exported
390 import pygeodesy.basics as basics # PYCHOK exported
391 import pygeodesy.booleans as booleans # PYCHOK exported
392 import pygeodesy.cartesianBase as cartesianBase # PYCHOK INTERNAL
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.datums as datums # PYCHOK exported
397 import pygeodesy.deprecated as deprecated # PYCHOK exported
398 import pygeodesy.dms as dms # PYCHOK exported
399 import pygeodesy.ecef as ecef # PYCHOK exported
400 import pygeodesy.elevations as elevations # PYCHOK exported
401 import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK INTERNAL
402 import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK INTERNAL
403 import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported
404 import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported
405 import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported
406 import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported
407 import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported
408 import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported
409 import pygeodesy.elliptic as elliptic # PYCHOK exported
410 import pygeodesy.epsg as epsg # PYCHOK exported
411 import pygeodesy.etm as etm # PYCHOK exported
412 import pygeodesy.errors as errors # PYCHOK exported
413 import pygeodesy.fmath as fmath # PYCHOK exported
414 import pygeodesy.formy as formy # PYCHOK exported
415 import pygeodesy.frechet as frechet # PYCHOK exported
416 import pygeodesy.fstats as fstats # PYCHOK exported
417 import pygeodesy.fsums as fsums # PYCHOK exported
418 import pygeodesy.gars as gars # PYCHOK exported
419 import pygeodesy.geodesicw as geodesicw # PYCHOK exported
420 import pygeodesy.geodesicx as geodesicx # PYCHOK exported
421 import pygeodesy.geodsolve as geodsolve # PYCHOK exported
422 import pygeodesy.geohash as geohash # PYCHOK exported
423 import pygeodesy.geoids as geoids # PYCHOK exported
424 import pygeodesy.hausdorff as hausdorff # PYCHOK exported
425 import pygeodesy.heights as heights # PYCHOK exported
426 import pygeodesy.interns as interns # PYCHOK exported
427 import pygeodesy.iters as iters # PYCHOK exported
428 import pygeodesy.karney as karney # PYCHOK exported
429 import pygeodesy.ktm as ktm # PYCHOK exported
430 import pygeodesy.latlonBase as latlonBase # PYCHOK INTERNAL
431 import pygeodesy.lazily as lazily # PYCHOK exported
432 import pygeodesy.lcc as lcc # PYCHOK exported
433 import pygeodesy.ltp as ltp # PYCHOK exported
434 import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported
435 import pygeodesy.mgrs as mgrs # PYCHOK exported
436 import pygeodesy.named as named # PYCHOK exported
437 import pygeodesy.namedTuples as namedTuples # PYCHOK exported
438 import pygeodesy.nvectorBase as nvectorBase # PYCHOK INTERNAL
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.rhumb as rhumb # PYCHOK exported
444 import pygeodesy.simplify as simplify # PYCHOK exported
445 import pygeodesy.sphericalBase as sphericalBase # PYCHOK INTERNAL
446 import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported
447 import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported
448 import pygeodesy.solveBase as solveBase # PYCHOK exported
449 import pygeodesy.streprs as streprs # PYCHOK exported
450 import pygeodesy.trf as trf # PYCHOK exported
451 import pygeodesy.triaxials as triaxials # PYCHOK exported
452 import pygeodesy.units as units # PYCHOK exported
453 import pygeodesy.unitsBase as unitsBase # PYCHOK INTERNAL
454 import pygeodesy.ups as ups # PYCHOK exported
455 import pygeodesy.utily as utily # PYCHOK exported
456 import pygeodesy.utm as utm # PYCHOK exported
457 import pygeodesy.utmups as utmups # PYCHOK exported
458 import pygeodesy.utmupsBase as utmupsBase # PYCHOK INTERNAL
459 import pygeodesy.vector2d as vector2d # PYCHOK exported
460 import pygeodesy.vector3d as vector3d # PYCHOK exported
461 import pygeodesy.vector3dBase as vector3dBase # PYCHOK INTERNAL
462 import pygeodesy.webmercator as webmercator # PYCHOK exported
463 import pygeodesy.wgrs as wgrs # PYCHOK exported
465 # lift all public classes, constants, functions, etc. but ONLY
466 # from the following modules ... (see also David Beazley's
467 # talk <https://DaBeaz.com/modulepackage/index.html>) ... BUT
468 # NOT modules ellipsoidal*, epsg, gars, geohash, spherical*,
469 # vector and wgrs ... in order keep those as modules ONLY
470 from pygeodesy.albers import * # PYCHOK __all__
471 from pygeodesy.azimuthal import * # PYCHOK __all__
472# from pygeodesy.auxilats import * # PYCHOK __(_)__
473 from pygeodesy.basics import * # PYCHOK __all__
474 from pygeodesy.booleans import * # PYCHOK __all__
475 from pygeodesy.cartesianBase import * # PYCHOK __(_)__ INTERNAL
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__ DEPRECATED
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 __(_)__ INTERNAL
485# from pygeodesy.ellipsoidalBaseDI import * # PYCHOK __(_)__ INTERNAL
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 __(_)__ INTERNAL
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 __(_)__ INTERNAL
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.rhumb import * # PYCHOK __all__
528 from pygeodesy.simplify import * # PYCHOK __all__
529# from pygeodesy.sphericalBase import * # PYCHOK __(_)__ INTERNAL
530# from pygeodesy.sphericalNvector import * # PYCHOK __(_)__
531# from pygeodesy.sphericalTrigonometry import * # PYCHOK __(_)__
532# from pygeodesy.solveBase import * # PYCHOK __(_)__ INTERNAL
533 from pygeodesy.streprs import * # PYCHOK __all__
534 from pygeodesy.trf import * # PYCHOK __all__
535 from pygeodesy.triaxials import * # PYCHOK __all__
536 from pygeodesy.units import * # PYCHOK __all__
537 from pygeodesy.unitsBase import * # PYCHOK __all__ Float, ...
538 from pygeodesy.ups import * # PYCHOK __all__
539 from pygeodesy.utily import * # PYCHOK __all__
540 from pygeodesy.utm import * # PYCHOK __all__
541 from pygeodesy.utmups import * # PYCHOK __all__
542# from pygeodesy.utmupsBase import * # PYCHOK __(_)__ INTERNAL
543 from pygeodesy.vector2d import * # PYCHOK __all__
544 from pygeodesy.vector3d import * # PYCHOK __all__
545 from pygeodesy.vector3dBase import * # PYCHOK __(_)__ INTERNAL
546 from pygeodesy.webmercator import * # PYCHOK __all__
547 from pygeodesy.wgrs import Georef, WGRSError # PYCHOK lazily
549 def _all(globalocals):
550 from pygeodesy.interns import NN as _NN, _attribute_, _COMMASPACE_, _DOT_, \
551 _headof, _module_, _s_, _UNDER_ # PYCHOK expected
552 from pygeodesy.streprs import Fmt as _Fmt # PYCHOK expected
553 # collect all public module and attribute names and check
554 # that modules are imported from this package, 'pygeodesy'
555 # (but the latter only when not bundled with PyInstaller or
556 # Py2Exe, since the file-layout is different. Courtesy of
557 # GilderGeek<https://GitHub.com/mrJean1/PyGeodesy/issues/31>)
558 ns = list(lazily._ALL_INIT)
559# XXX ps = () if _isfrozen else set([_pygeodesy_] + __name__.split(_DOT_))
560 for mod, attrs in lazily._ALL_LAZY.enums():
561 mod = _headof(_headof(mod))
562 if mod not in globalocals:
563 t = _DOT_(_pygeodesy_, mod)
564 raise ImportError('missing %s%s: %s' % (_module_, _NN, t))
565 ns.append(mod)
566 # check that all other public attrs do exist
567 if attrs and isinstance(attrs, tuple):
568 attrs = lazily._ALL_ATTRS(attrs)
569 t = tuple(a for a in attrs if a not in globalocals)
570 if t:
571 s = _Fmt.SQUARE(_s_, len(t)) if len(t) > 1 else _NN
572 t = _COMMASPACE_.join(_DOT_(_pygeodesy_, mod, a) for a in t)
573 raise ImportError('missing %s%s: %s' % (_attribute_, s, t))
574 ns.extend(attrs)
575# XXX if ps: # check that mod is a _pygeodesy_ module
576# XXX m = globalocals[mod] # assert(m.__name__ == mod)
577# XXX f = getattr(m, '__file__', _NN)
578# XXX d = dirname(abspath(f)) if f else pygeodesy_abspath
579# XXX p = getattr(m, '__package__', _NN) or _pygeodesy_
580# XXX if p not in ps or d != pygeodesy_abspath:
581# XXX t = '%s from %r' % (_DOT_(p, mod), f or p)
582# XXX raise ImportError('foreign %s: %s' % (_module_, t))
583 return tuple(set(ns)) # remove duplicates
585 __all__ = _all(globals()) # or locals()
586else:
587 __all__ = ()
588 _init__all__ = False
590from pygeodesy.interns import _DOT_ # PYCHOK import
591__version__ = '23.12.23'
592# see setup.py for similar logic
593version = _DOT_(*map(int, __version__.split(_DOT_)))
595del abspath, basename, dirname, _DOT_, _lazy_import2, sys
597# **) MIT License
598#
599# Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.
600#
601# Permission is hereby granted, free of charge, to any person obtaining a
602# copy of this software and associated documentation files (the "Software"),
603# to deal in the Software without restriction, including without limitation
604# the rights to use, copy, modify, merge, publish, distribute, sublicense,
605# and/or sell copies of the Software, and to permit persons to whom the
606# Software is furnished to do so, subject to the following conditions:
607#
608# The above copyright notice and this permission notice shall be included
609# in all copies or substantial portions of the Software.
610#
611# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
612# OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
613# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
614# THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
615# OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
616# ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
617# OTHER DEALINGS IN THE SOFTWARE.