# Coverage for pygeodesy/interns.py : 98%

## 340 statements 334 run 6 missing 6 excluded

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''' from math import pi as PI, sqrt class _Join(str): '''(INTERNAL) Extended, callable C{str}. ''' def join_(self, *args): '''Join all B{C{args}} like C{str.join(B{args})}. ''' return _Join(str.join(self, map(str, args))) # re-callable __call__ = join_ class _Prefix(_Join): '''(INTERNAL) Extended C{str} for prefix. ''' def __call__(self, *args): '''Join C{self} plus all B{C{args}} like C{str.join((self,) + B{args})}. ''' return _SPACE_.join_(self, *args) # re-callable class _Python_(str): # overwritten below '''(INTERNAL) Extended C{str} for C{Python} and version. ''' def __call__(self, sys): '''Return C{"Python <version>"}. ''' return _SPACE_(self, sys.version.split()[0]) class _Slicer(str): '''(INTERNAL) String slicer C{.fromX} or C{.tillY}. ''' def __getattr__(self, name): # .fromX, .tillY if name.startswith(_till_): i = self.find(name[len(_till_):]) if 0 < i < len(self): return _Slicer(self[:i + 1]) elif name.startswith(_from_): i = self.find(name[len(_from_):]) if 0 < (i + 1) < len(self): return _Slicer(self[i:]) else: return getattr(str, name) return self class MISSING(object): '''(INTERNAL) Singleton. ''' def toRepr(self, **unused): return self.__class__.__name__ __repr__ = toRepr __str__ = toRepr toStr = toRepr MISSING = MISSING() # PYCHOK singleton MISSING.__name__ = str(MISSING) NN = _Join('') # Nomen Nescio <https://Wiktionary.org/wiki/N.N.> # __DUNDER__-style names would get mangled in classes _0_ = '0' # PYCHOK expected _0to9_ = '0123456789' # PYCHOK expected _1_ = '1' # PYCHOK expected _2_ = '2' # PYCHOK expected _3_ = '3' # PYCHOK expected _4_ = '4' # PYCHOK expected _a_ = 'a' # PYCHOK expected _A_ = 'A' # PYCHOK expected _Airy1830_ = 'Airy1830' # PYCHOK expected _AiryModified_ = 'AiryModified' # PYCHOK expected _an_ = 'an' # PYCHOK expected _angle_ = 'angle' # PYCHOK expected _areaOf_ = 'areaOf' # PYCHOK expected _ambiguous_ = 'ambiguous' # PYCHOK expected # _AMPERSAND_ = _Join('&') # PYCHOK expected # _AND_ = _AMPERSAND_ # PYCHOK expected _and_ = 'and' # PYCHOK expected _AT_ = _Join('@') # PYCHOK expected _AtoZnoIO_ = _Slicer('ABCDEFGHJKLMNPQRSTUVWXYZ') # PYCHOK in C{gars}, C{mgrs} and C{wgrs} _attribute_ = 'attribute' # PYCHOK expected _azi2_ = 'azi2' # PYCHOK expected _azimuth_ = 'azimuth' # PYCHOK expected _B_ = 'B' # PYCHOK expected _band_ = 'band' # PYCHOK expected _BAR_ = _Join('|') # PYCHOK expected _bearing_ = 'bearing' # PYCHOK expected _Bessel1841_ = 'Bessel1841' # PYCHOK expected _by_ = 'by' # PYCHOK expected _C_ = 'C' # PYCHOK expected _Cartesian_ = 'Cartesian' # PYCHOK expected _Clarke1866_ = 'Clarke1866' # PYCHOK expected _Clarke1880IGN_ = 'Clarke1880IGN' # PYCHOK expected _coincident_ = 'coincident' # PYCHOK expected _colinear_ = 'colinear' # PYCHOK expected _COLON_ = _Join(':') # PYCHOK expected _COLONSPACE_ = _Join(': ') # PYCHOK expected _COMMA_ = _Join(',') # PYCHOK expected _COMMASPACE_ = _Join(', ') # PYCHOK expected _convergence_ = _Prefix('convergence') # PYCHOK expected _conversion_ = 'conversion' # PYCHOK expected _convex_ = 'convex' # PYCHOK expected _cubic_ = 'cubic' # PYCHOK expected _DASH_ = _Join('-') # PYCHOK == _MINUS_ _datum_ = 'datum' # PYCHOK expected _decode3_ = 'decode3' # PYCHOK expected _deg_ = 'deg' # PYCHOK expected _degrees_ = 'degrees' # PYCHOK expected _degrees2_ = 'degrees2' # PYCHOK SQUARED _DEQUALSPACED_ = _Join(' == ') # PYCHOK expected _distance_ = 'distance' # PYCHOK expected _distanceTo_ = 'distanceTo' # PYCHOK expected _distant_ = _Prefix('distant') # PYCHOK expected _doesn_t_exist_ = "doesn't exist" # PYCHOK expected _DOT_ = _Join('.') # PYCHOK expected _down_ = 'down' # PYCHOK expected _e_ = 'e' # PYCHOK expected _E_ = 'E' # PYCHOK expected _east_ = 'east' # PYCHOK expected _easting_ = 'easting' # PYCHOK expected _ecef_ = 'ecef' # PYCHOK expected _edge_ = 'edge' # PYCHOK expected _elevation_ = 'elevation' # PYCHOK expected _ELLIPSIS_ = _Join('...') # PYCHOK expected # _ELLIPSISPACED_ = _Join(' ... ') # PYCHOK <https://www.ThePunctuationGuide.com/ellipses.html> _ellipsoid_ = 'ellipsoid' # PYCHOK expected _ellipsoidal_ = 'ellipsoidal' # PYCHOK expected _enabled_ = 'enabled' # PYCHOK expected _encode_ = 'encode' # PYCHOK expected _end_ = 'end' # PYCHOK expected _epoch_ = 'epoch' # PYCHOK expected _EPS_ = 'EPS' # PYCHOK expected _EPS0_ = 'EPS0' # PYCHOK expected _EQUAL_ = _Join('=') # PYCHOK expected _EQUALSPACED_ = _Join(' = ') # PYCHOK expected _exceed_PI_radians_ = 'exceed PI radians' # PYCHOK expected _exceeds_ = _Prefix('exceeds') # PYCHOK expected _f_ = 'f' # PYCHOK expected _feet_ = 'feet' # PYCHOK expected _few_ = 'few' # PYCHOK expected _finite_ = 'finite' # PYCHOK expected _fraction_ = 'fraction' # PYCHOK expected _from_ = 'from' # PYCHOK expected _g_ = 'g' # PYCHOK expected _gamma_ = 'gamma' # PYCHOK expected _GRS80_ = 'GRS80' # PYCHOK expected _h_ = 'h' # PYCHOK expected _H_ = 'H' # PYCHOK expected _height_ = 'height' # PYCHOK expected _hemipole_ = 'hemipole' # PYCHOK expected _immutable_ = 'immutable' # PYCHOK expected _i_ = 'i' # PYCHOK expected _in_ = 'in' # PYCHOK expected _INF_ = 'INF' # PYCHOK expected _initial_ = 'initial' # PYCHOK expected _inside_ = 'inside' # PYCHOK expected _intersection_ = 'intersection' # PYCHOK expected _Intl1924_ = 'Intl1924' # PYCHOK expected _invalid_ = 'invalid' # PYCHOK expected _isclockwise_ = 'isclockwise' # PYCHOK expected _ispolar_ = 'ispolar' # PYCHOK expected _j_ = 'j' # PYCHOK expected _k0_ = 'k0' # PYCHOK expected _knots_ = 'knots' # PYCHOK expected _Krassovski1940_ = 'Krassovski1940' # PYCHOK expected _Krassowsky1940_ = 'Krassowsky1940' # PYCHOK expected #_LANGLE_ = '<' # PYCHOK expected _lam_ = 'lam' # PYCHOK expected _lat_ = 'lat' # PYCHOK expected _lat0_ = 'lat0' # PYCHOK expected _lat1_ = 'lat1' # PYCHOK expected _lat2_ = 'lat2' # PYCHOK expected _latlon_ = 'latlon' # PYCHOK expected _LatLon_ = 'LatLon' # PYCHOK expected #_LCURLY_ = '{' # PYCHOK LBRACE _len_ = 'len' # PYCHOK expected _linear_ = 'linear' # PYCHOK expected #_LPAREN_ = '(' # PYCHOK expected _lon_ = 'lon' # PYCHOK expected _lon0_ = 'lon0' # PYCHOK expected _lon2_ = 'lon2' # PYCHOK expected #_LSQUARE_ = '[' # PYCHOK LBRACK _ltp_ = 'ltp' # PYCHOK expected _m_ = 'm' # PYCHOK expected _M_ = 'M' # PYCHOK expected _meanOf_ = 'meanOf' # PYCHOK expected _meridional_ = 'meridional' # PYCHOK expected _meter_ = 'meter' # PYCHOK expected _meter2_ = 'meter2' # PYCHOK SQUARED _MGRS_ = 'MGRS' # PYCHOK expected _MINUS_ = _DASH_ _module_ = 'module' # PYCHOK expected _n_ = 'n' # PYCHOK expected _N_ = 'N' # PYCHOK expected _n_a_ = 'n/a' # PYCHOK expected _N_A_ = 'N/A' # PYCHOK expected _NAD27_ = 'NAD27' # PYCHOK expected _NAD83_ = 'NAD83' # PYCHOK expected _name_ = 'name' # PYCHOK expected _NAN_ = 'NAN' # PYCHOK expected _near_concentric_ = 'near-concentric' # PYCHOK expected _nearestOn2_ = 'nearestOn2' # PYCHOK expected _negative_ = 'negative' # PYCHOK expected _NL_ = _Join('\n') # PYCHOK expected _NL_hash_ = _Join(_NL_ + '# ') # PYCHOK expected _NL_var_ = _Join(_NL_ + '@var ') # PYCHOK expected _no_ = _Prefix('no') # PYCHOK expected _north_ = 'north' # PYCHOK expected _northing_ = 'northing' # PYCHOK expected _NorthPole_ = 'NorthPole' # PYCHOK expected _not_ = _Prefix('not') # PYCHOK expected _NTF_ = 'NTF' # PYCHOK expected _number_ = 'number' # PYCHOK expected _numpy_ = 'numpy' # PYCHOK expected _Nv00_ = 'Nv00' # PYCHOK expected _OKd_ = '._-' # PYCHOK expected _on_ = 'on' # PYCHOK expected _or_ = 'or' # PYCHOK expected _other_ = 'other' # PYCHOK expected _outside_ = 'outside' # PYCHOK expected _overlap_ = 'overlap' # PYCHOK expected _PERCENT_ = '%' # PYCHOK expected _PERCENTDOTSTAR_ = '%.*' # PYCHOK _DOT_(_PERCENT_, _STAR_) _perimeterOf_ = 'perimeterOf' # PYCHOK expected _phi_ = 'phi' # PYCHOK expected _PLUS_ = _Join('+') # PYCHOK expected _PLUSMINUS_ = _PLUS_ + _MINUS_ # PYCHOK expected _point_ = 'point' # PYCHOK expected _points_ = 'points' # PYCHOK expected _pole_ = 'pole' # PYCHOK expected _precision_ = 'precision' # PYCHOK expected _prime_vertical_ = 'prime_vertical' # PYCHOK expected _pygeodesy_abspath_ = 'pygeodesy_abspath' # PYCHOK expected _Python_ = _Python_('Python') # PYCHOK singleton # _QUOTE1_ = "'" # PYCHOK expected _QUOTE2_ = '"' # PYCHOK expected # _QUOTE3_ = "'''" # PYCHOK expected # _QUOTE6_ = '"""' # PYCHOK expected _radians_ = 'radians' # PYCHOK expected _radians2_ = 'radians2' # PYCHOK SQUARED _radius_ = 'radius' # PYCHOK expected _radius1_ = 'radius1' # PYCHOK expected _radius2_ = 'radius2' # PYCHOK expected # _range_ = _Range('range') # moved down #_RANGLE_ = '>' # PYCHOK expected #_RCURLY_ = '}' # PYCHOK RBRACE _reciprocal_ = 'reciprocal' # PYCHOK expected _resolution_ = 'resolution' # PYCHOK expected #_RPAREN_ = ')' # PYCHOK expected #_RSQUARE_ = ']' # PYCHOK RBRACK _s_ = 's' # PYCHOK expected _S_ = 'S' # PYCHOK expected _scalar_ = 'scalar' # PYCHOK expected _scale_ = 'scale' # PYCHOK expected _scipy_ = 'scipy' # PYCHOK expected _semi_circular_ = 'semi-circular' # PYCHOK expected _sep_ = 'sep' # PYCHOK expected _singular_ = 'singular' # PYCHOK expected _small_ = 'small' # PYCHOK expected _Sphere_ = 'Sphere' # PYCHOK expected _spherical_ = 'spherical' # PYCHOK expected _SouthPole_ = 'SouthPole' # PYCHOK expected _SPACE_ = _Join(' ') # PYCHOK expected _STAR_ = _Join('*') # PYCHOK expected _start_ = 'start' # PYCHOK expected _std_ = 'std' # PYCHOK expected _supported_ = 'supported' # PYCHOK expected _tbd_ = 'tbd' # PYCHOK expected _till_ = 'till' # PYCHOK expected _to_ = 'to' # PYCHOK expected _too_ = _Prefix('too') # PYCHOK expected _transform_ = 'transform' # PYCHOK expected _UNDER_ = '_' # PYCHOK expected _units_ = 'units' # PYCHOK expected _up_ = 'up' # PYCHOK expected _UPS_ = 'UPS' # PYCHOK expected _utf_8_ = 'utf-8' # PYCHOK expected _UTM_ = 'UTM' # PYCHOK expected _V_ = 'V' # PYCHOK expected _valid_ = 'valid' # PYCHOK expected _version_ = 'version' # PYCHOK expected _vs_ = 'vs' # PYCHOK expected __vs__ = ' vs ' # PYCHOK expected _W_ = 'W' # PYCHOK expected _WGS72_ = 'WGS72' # PYCHOK expected _WGS84_ = 'WGS84' # PYCHOK expected _x_ = 'x' # PYCHOK expected _X_ = 'X' # PYCHOK expected _xyz_ = 'xyz' # PYCHOK expected _y_ = 'y' # PYCHOK expected _z_ = 'z' # PYCHOK expected _zone_ = 'zone' # PYCHOK expected _EW_ = _E_ + _W_ # PYCHOK common cardinals _NE_ = _N_ + _E_ # PYCHOK expected _NS_ = _N_ + _S_ # PYCHOK expected _NSEW_ = _NS_ + _EW_ # PYCHOK expected _NW_ = _N_ + _W_ # PYCHOK expected _SE_ = _S_ + _E_ # PYCHOK expected _SW_ = _S_ + _W_ # PYCHOK negative ones _DDOT_ = _Join(_DOT_ * 2) # PYCHOK expected # _DEQUAL_ = _Join(_EQUAL_ * 2) # PYCHOK expected _DUNDER_ = _Join(_UNDER_ * 2) # PYCHOK expected class _Range(str): '''(INTERNAL) Extended C{str} for C{range} strings. ''' def __call__(self, lo, hi, prec=0, lopen=False, ropen=False, join=_COMMASPACE_): '''Return the range as C{"(lo, hi)"}, C{"(lo, hi]"}, C{"[lo, hi)"} or C{"[lo, hi]"}. ''' from pygeodesy.streprs import Fmt # PYCHOK re-imported r = NN(Fmt.f(lo, prec=prec), join, Fmt.f(hi, prec=prec)) if lopen: r = Fmt.PAREN(r) if ropen else Fmt.LOPEN(r) else: r = Fmt.ROPEN(r) if ropen else Fmt.SQUARE(r) return r _range_ = _Range('range') # PYCHOK expected def _dunder_name(inst, *dflt): '''(INTERNAL) Get the double_underscore __name__ attr. ''' try: return inst.__name__ except AttributeError: pass return dflt[0] if dflt else inst.__class__.__name__ def _float(f): # in .datums, .ellipsoids, .trf '''(INTERNAL) cache initial C{float}s. ''' f = float(f) return _floats.setdefault(f, f) # PYCHOK del _floats def _floatuple(*fs): '''(INTERNAL) Cache a tuple of C{float}s. ''' return tuple(map(_float, fs)) _floats = {} # PYCHOK floats cache, in .__main__ # _float = float # PYCHOK expected # del _floats # XXX zap floats cache never _0_0 = _float( 0) # PYCHOK expected _0_001 = _float( 0.001) # PYCHOK expected _0_01 = _float( 0.01) # PYCHOK expected _0_1 = _float( 0.1) # PYCHOK expected _0_125 = _float( 0.125) # PYCHOK expected _0_25 = _float( 0.25) # PYCHOK expected _0_26 = _float( 0.26) # PYCHOK expected _0_5 = _float( 0.5) # PYCHOK expected _1_0 = _float( 1) # PYCHOK expected _1_5 = _float( 1.5) # PYCHOK expected _2_0 = _float( 2) # PYCHOK expected _3_0 = _float( 3) # PYCHOK expected _4_0 = _float( 4) # PYCHOK expected _5_0 = _float( 5) # PYCHOK expected _6_0 = _float( 6) # PYCHOK expected _8_0 = _float( 8) # PYCHOK expected _9_0 = _float( 9) # PYCHOK expected _16_0 = _float( 16) # PYCHOK expected _24_0 = _float( 24) # PYCHOK expected _32_0 = _float( 32) # PYCHOK expected _60_0 = _float( 60) # PYCHOK expected _90_0 = _float( 90) # PYCHOK expected _120_0 = _float( 120) # PYCHOK expected _180_0 = _float( 180) # PYCHOK expected _360_0 = _float( 360) # PYCHOK expected _400_0 = _float( 400) # PYCHOK expected _720_0 = _float( 720) # PYCHOK expected _3600_0 = _float(3600) # PYCHOK expected try: from sys import float_info as _float_info DIG = _float_info.dig # PYCHOK system's float decimal digits EPS = _float(_float_info.epsilon) # PYCHOK system's EPSilon MANT_DIG = _float_info.mant_dig # PYCHOK system's float mantissa bits MAX = _float(_float_info.max) # PYCHOK system's MAX float 1.7976931348623157e+308 MIN = _float(_float_info.min) # PYCHOK system's MIN float 2.2250738585072014e-308 except (AttributeError, ImportError): # PYCHOK no cover DIG = 15 # PYCHOK system's float decimal digits EPS = _float(2.220446049250313e-16) # PYCHOK EPSilon 2**-52, M{EPS +/- 1 != 1} MAN_DIG = 53 # PYCHOK float mantissa bits ≈ 53 (C{int}) MAX = _float(pow(_2_0, 1023) * (_2_0 - EPS)) # PYCHOK ≈ 10**308 MIN = _float(pow(_2_0, -1022)) # PYCHOK ≈ 10**-308 EPS2 = _float(EPS * _2_0) # PYCHOK ≈ 4.440892098501e-16 EPS_2 = _float(EPS / _2_0) # PYCHOK ≈ 1.110223024625e-16 EPS1 = _float(_1_0 - EPS) # PYCHOK ≈ 0.9999999999999998 EPS1_2 = _float(_1_0 - EPS_2) # PYCHOK ≈ 0.9999999999999999 # _1EPS = _float(_1_0 + EPS) # PYCHOK ≈ 1.0000000000000002 _1_EPS = _float(_1_0 / EPS) # PYCHOK = 4503599627370496.0 # _2_EPS = _float(_2_0 / EPS) # PYCHOK = 9007199254740992.0 _EPS4 = _float(EPS * _4_0) # PYCHOK ≈ 8.881784197001e-16 _EPS__2 = _float(EPS**2) # PYCHOK = 4.930380657631e-32 _EPS__4 = _float(EPS**4) # PYCHOK = 2.430865342915e-63 _EPS0__2 = _EPS__4 # PYCHOK near-zero square root _EPSmin = _float(sqrt(MIN)) # PYCHOK = 1.49166814624e-154 _EPSqrt = _float(sqrt(EPS)) # PYCHOK = 1.49011611938e5-08 _EPStol = _float(_EPSqrt * _0_1) # PYCHOK = 1.49011611938e5-09 == sqrt(EPS * _0_01) EPS0 = _EPS__2 # PYCHOK near-zero comparison, or EPS or EPS_2 INF = _float( _INF_) # PYCHOK INFinity, see function L{isinf}, L{isfinite} NAN = _float( _NAN_) # PYCHOK Not-A-Number, see function L{isnan} NEG0 = float('-0.0') # PYCHOK NEGative 0.0, see function L{isneg0} PI2 = _float(PI * _2_0) # PYCHOK Two PI, M{PI * 2} aka I{Tau} PI3 = _float(PI * _3_0) # PYCHOK Three PI, M{PI * 3} PI3_2 = _float(PI * _1_5) # PYCHOK PI and a half, M{PI * 3 / 2} PI4 = _float(PI * _4_0) # PYCHOK Four PI, M{PI * 4} PI_2 = _float(PI / _2_0) # PYCHOK Half PI, M{PI / 2} PI_4 = _float(PI / _4_0) # PYCHOK Quarter PI, M{PI / 4} R_M = _float(6371008.771415) # PYCHOK mean, spherical earth radius (C{meter}) MANTIS = MANT_DIG # DEPRECATED, use C{MANT_DIG}. __all__ = ('DIG', _EPS_, 'EPS_2', _EPS0_, 'EPS1', 'EPS1_2', 'INF', 'MANT_DIG', 'MANTIS', # DEPRECATED 'MAX', 'MIN', # not 'MISSING'! 'NAN', 'NEG0', 'NN', 'PI', 'PI2', 'PI3', 'PI3_2', 'PI4', 'PI_2', 'PI_4') # imported by .lazily __version__ = '21.05.10' # **) MIT License # # Copyright (C) 2016-2021 -- mrJean1 at Gmail -- All Rights Reserved. # # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR # OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, # ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR # OTHER DEALINGS IN THE SOFTWARE.