# Coverage for pygeodesy/interns.py : 96%

## 533 statements 513 run 20 missing 21 excluded

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Functions L{pygeodesy.float_} and L{pygeodesy.machine}. ''' from math import pi as PI, sqrt _COMMASPACE_ = ', ' # overriden below _pl2List = None # cached _platform2 lists _Py3List = None # cached _pythonarchine lists class _Dash(str): '''(INTERNAL) Extended C{str} for prefix_DASH_. ''' def __call__(self, *args): '''Join C{self} plus all B{C{args}} like C{'-'.join((self,) + B{args})}. ''' return _DASH_(self, *args) # re-callable class _Int(int): '''(INTERNAL) Unique C{int}. ''' pass class Str_(str): '''Extended, I{callable} C{str} class, not nameable. @see: Nameable, non-callable class L{pygeodesy.Str}. ''' def join_(self, *args): '''Join all positional B{C{args}} like C{self.join(B{args})}. @return: All B{C{args}} joined by this instance (L{Str_}). @note: An other L{Str_} instance is returned to make the result re-callable. ''' return Str_(str.join(self, map(str, args))) # re-callable __call__ = join_ class _Prefix(Str_): '''(INTERNAL) Extended C{str} for prefix. ''' def __call__(self, *args): '''Join C{self} plus all B{C{args}} like C{" ".join((self,) + B{args})}. ''' return _SPACE_.join_(self, *args) # re-callable class _Python_(str): # overwritten by singleton below '''(INTERNAL) Extended C{str} for C{"Python"} and version. ''' def __call__(self, version=None): '''Return C{"Python <version>"}. ''' if not version: from sys import version return _SPACE_(self, version.split(None, 1)[0]) class _Range(str): '''(INTERNAL) Extended C{str} for C{range} strings. ''' def __call__(self, lo, hi, lopen=False, ropen=False, prec=0, sep=_COMMASPACE_): '''Return the range as C{"(lo, hi)"}, C{"(lo, hi]"}, C{"[lo, hi)"} or C{"[lo, hi]"}. ''' from pygeodesy.streprs import Fmt r = NN(Fmt.f(lo, prec=prec), sep, 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 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 C{str}. ''' def toRepr(self, **unused): return self.__class__.__name__ __repr__ = toRepr __str__ = toRepr toStr = toRepr MISSING = MISSING() # PYCHOK singleton MISSING.__name__ = str(MISSING) NN = Str_('') # Nomen Nescio <https://Wiktionary.org/wiki/N.N.> # __DUNDER__-style names would get mangled in classes _0_ = '0' # PYCHOK 'zero' _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 _a12_ = 'a12' # PYCHOK expected _azi1_ = 'azi1' # PYCHOK expected _azi12_ = 'azi12' # PYCHOK expected _azi2_ = 'azi2' # PYCHOK expected _Airy1830_ = 'Airy1830' # PYCHOK expected _AiryModified_ = 'AiryModified' # PYCHOK expected _an_ = 'an' # PYCHOK expected _angle_ = 'angle' # PYCHOK expected _antipodal_ = 'antipodal' # PYCHOK expected _areaOf_ = 'areaOf' # PYCHOK expected _ambiguous_ = 'ambiguous' # PYCHOK expected _AMPERSAND_ = Str_('&') # PYCHOK expected # _AND_ = _AMPERSAND_ # PYCHOK expected _and_ = 'and' # PYCHOK expected _arg_ = 'arg' # PYCHOK expected _at_ = 'at' # PYCHOK expected _AT_ = Str_('@') # 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 _B_ = 'B' # PYCHOK expected _BACKSLASH_ = Str_('\\') # PYCHOK expected _band_ = 'band' # PYCHOK expected _BAR_ = Str_('|') # PYCHOK expected _bearing_ = 'bearing' # PYCHOK expected _Bessel1841_ = 'Bessel1841' # PYCHOK expected _by_ = 'by' # PYCHOK expected _c_ = 'c' # PYCHOK expected _C_ = 'C' # PYCHOK expected _cartesian_ = 'cartesian' # PYCHOK expected _center_ = 'center' # PYCHOK expected # _CIRCUMFLEX_ = '^' # PYCHOK expected _Clarke1866_ = 'Clarke1866' # PYCHOK expected _Clarke1880IGN_ = 'Clarke1880IGN' # PYCHOK expected _coincident_ = 'coincident' # PYCHOK expected _colinear_ = 'colinear' # PYCHOK expected _COLON_ = Str_(':') # PYCHOK expected _COLONSPACE_ = Str_(': ') # PYCHOK expected _COMMA_ = Str_(',') # PYCHOK expected _COMMASPACE_ = Str_(_COMMASPACE_) # PYCHOK expected _concentric_ = 'concentric' # PYCHOK expected _convergence_ = _Prefix('convergence') # PYCHOK expected _conversion_ = 'conversion' # PYCHOK expected _convex_ = 'convex' # PYCHOK expected _cubic_ = 'cubic' # PYCHOK expected _d_ = 'd' # PYCHOK expected _DASH_ = Str_('-') # PYCHOK == _MINUS_ _datum_ = 'datum' # PYCHOK expected _decode3_ = 'decode3' # PYCHOK expected _deg_ = 'deg' # PYCHOK expected _degrees_ = 'degrees' # PYCHOK expected _degrees2_ = 'degrees2' # PYCHOK SQUARED _DEQUALSPACED_ = Str_(' == ') # PYCHOK expected _DIG_ = 'DIG' # PYCHOK expected _distance_ = 'distance' # PYCHOK expected _distanceTo_ = 'distanceTo' # PYCHOK expected _distant_ = _Prefix('distant') # PYCHOK expected _doesn_t_exist_ = "doesn't exist" # PYCHOK expected _DOT_ = Str_('.') # 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_ = Str_('...') # PYCHOK expected # _ELLIPSISPACED_ = Str_(' ... ') # 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 _EPS02_ = 'EPS02' # PYCHOK expected _EPS1_ = 'EPS1' # PYCHOK expected _EPS2_ = 'EPS2' # PYCHOK expected _EPS_2_ = 'EPS_2' # PYCHOK expected _EPS4_ = 'EPS4' # PYCHOK expected _EQUAL_ = Str_('=') # PYCHOK expected _EQUALSPACED_ = Str_(' = ') # PYCHOK expected _exceed_PI_radians_ = 'exceed PI radians' # PYCHOK expected _exceeds_ = _Prefix('exceeds') # PYCHOK expected _exists_ = 'exists' # PYCHOK expected _f_ = 'f' # PYCHOK expected _F_ = 'F' # PYCHOK expected _feet_ = 'feet' # PYCHOK expected _few_ = 'few' # PYCHOK expected _fi_ = 'fi' # PYCHOK expected _finite_ = 'finite' # 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 _i_ = 'i' # PYCHOK expected _I_ = 'I' # PYCHOK expected _iadd_ = '+=' # PYCHOK expected _immutable_ = 'immutable' # PYCHOK expected _in_ = 'in' # PYCHOK expected _incompatible_ = 'incompatible' # PYCHOK expected _INF_ = 'INF' # PYCHOK expected _infinite_ = 'infinite' # PYCHOK _not_finite_ _initial_ = 'initial' # PYCHOK expected _inside_ = 'inside' # PYCHOK expected _INT0_ = 'INT0' # 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 _kind_ = 'kind' # 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 _lon1_ = 'lon1' # PYCHOK expected _lon2_ = 'lon2' # PYCHOK expected #_LSQUARE_ = '[' # PYCHOK LBRACK _ltp_ = 'ltp' # PYCHOK expected _m_ = 'm' # PYCHOK expected _M_ = 'M' # PYCHOK expected _m12_ = 'm12' # PYCHOK expected _M12_ = 'M12' # PYCHOK expected _M21_ = 'M21' # PYCHOK expected _MANT_DIG_ = 'MANT_DIG' # PYCHOK expected _MAX_ = 'MAX' # PYCHOK expected _mean_ = 'mean' # PYCHOK expected _meanOf_ = 'meanOf' # PYCHOK expected _meridional_ = 'meridional' # PYCHOK expected _meter_ = 'meter' # PYCHOK expected _meter2_ = 'meter2' # PYCHOK SQUARED _MGRS_ = 'MGRS' # PYCHOK expected _MIN_ = 'MIN' # PYCHOK expected _MINUS_ = _DASH_ # PYCHOK expected _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_ = _Dash('near') # PYCHOK expected _nearestOn2_ = 'nearestOn2' # PYCHOK expected _NEG0_ = 'NEG0' # PYCHOK expected _NINF_ = 'NINF' # PYCHOK expected _negative_ = 'negative' # PYCHOK expected _NL_ = Str_('\n') # PYCHOK expected _NL_hash_ = Str_(_NL_ + '# ') # PYCHOK expected _NL_NL_ = Str_(_NL_ + _NL_) # PYCHOK expected _NL_var_ = Str_(_NL_ + '@var ') # PYCHOK expected _NN_ = 'NN' # PYCHOK expected _no_ = _Prefix('no') # PYCHOK expected _north_ = 'north' # PYCHOK expected _northing_ = 'northing' # PYCHOK expected _NorthPole_ = 'NorthPole' # PYCHOK expected _not_ = _Prefix('not') # PYCHOK expected _not_finite_ = 'not finite' # PYCHOK _not_(_finite_), _infinite_ _not_scalar_ = 'not scalar' # PYCHOK _not_(_scalar_) _NTF_ = 'NTF' # PYCHOK expected _null_ = 'null' # PYCHOK expected _number_ = 'number' # PYCHOK expected _numpy_ = 'numpy' # PYCHOK expected _Nv00_ = 'Nv00' # PYCHOK expected _O_ = 'O' # PYCHOK letter "Oh" _on_ = 'on' # PYCHOK expected _opposite_ = 'opposite' # 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 _PI_ = 'PI' # PYCHOK expected _PI2_ = 'PI2' # PYCHOK expected _PI_2_ = 'PI_2' # PYCHOK expected _PI3_ = 'PI3' # PYCHOK expected _PI3_2_ = 'PI3_2' # PYCHOK expected _PI4_ = 'PI4' # PYCHOK expected _PI_4_ = 'PI_4' # PYCHOK expected _PLUS_ = Str_('+') # 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 _PyPy__ = 'PyPy ' # PYCHOK + _SPACE_ _Python_ = _Python_('Python') # PYCHOK singleton _python_ = 'python' # PYCHOK expected _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') # PYCHOK expected #_RANGLE_ = '>' # PYCHOK expected _RCURLY_ = '}' # PYCHOK RBRACE _reciprocal_ = 'reciprocal' # PYCHOK expected _reframe_ = 'reframe' # PYCHOK expected _resolution_ = 'resolution' # PYCHOK expected _rIn_ = 'rIn' # PYCHOK expected #_RPAREN_ = ')' # PYCHOK expected #_RSQUARE_ = ']' # PYCHOK RBRACK _s_ = 's' # PYCHOK expected _S_ = 'S' # PYCHOK expected _s12_ = 's12' # PYCHOK expected _S12_ = 'S12' # PYCHOK expected _scalar_ = 'scalar' # PYCHOK expected _scale_ = 'scale' # PYCHOK expected _scipy_ = 'scipy' # PYCHOK expected _semi_circular_ = 'semi-circular' # PYCHOK expected _sep_ = 'sep' # PYCHOK expected _sets_ = 'sets' # PYCHOK expected _singular_ = 'singular' # PYCHOK expected _SLASH_ = Str_('/') # PYCHOK expected _small_ = 'small' # PYCHOK expected _Sphere_ = 'Sphere' # PYCHOK expected _spherical_ = 'spherical' # PYCHOK expected _SouthPole_ = 'SouthPole' # PYCHOK expected _SPACE_ = Str_(' ') # PYCHOK expected _specified_ = 'specified' # PYCHOK expected _STAR_ = Str_('*') # PYCHOK expected _start_ = 'start' # PYCHOK expected _std_ = 'std' # PYCHOK expected _stdev_ = 'stdev' # PYCHOK expected _supported_ = 'supported' # PYCHOK expected _sx_ = 'sx' # PYCHOK expected _sy_ = 'sy' # PYCHOK expected _sz_ = 'sz' # PYCHOK expected _tbd_ = 'tbd' # PYCHOK expected _TILDE_ = '~' # PYCHOK expected _till_ = 'till' # PYCHOK expected _to_ = 'to' # PYCHOK expected _too_ = _Prefix('too') # PYCHOK expected _transform_ = 'transform' # PYCHOK expected _tx_ = 'tx' # PYCHOK expected _ty_ = 'ty' # PYCHOK expected _tz_ = 'tz' # PYCHOK expected _UNDER_ = Str_('_') # 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 _value_ = 'value' # PYCHOK expected _version_ = 'version' # PYCHOK expected _vs_ = 'vs' # PYCHOK expected _W_ = 'W' # PYCHOK expected _WGS72_ = 'WGS72' # PYCHOK expected _WGS84_ = 'WGS84' # PYCHOK expected _width_ = 'width' # 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 positive ones _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 # _NESW_ = _NE_ + _SW_ # PYCHOK clockwise _DDOT_ = Str_(_DOT_ * 2) # PYCHOK expected # _DEQUAL_ = Str_(_EQUAL_ * 2) # PYCHOK expected # _DSTAR_ = Str_(_STAR_ * 2) # PYCHOK expected _DUNDER_ = Str_(_UNDER_ * 2) # 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_(*fs, **sets): '''Get scalars as C{float} or I{intern} C{float}. @arg fs: One more values (C{scalar}), all positional. @kwarg sets: Use keyword argument C{B{sets}=True} to C{intern} each B{C{fs}}, otherwise don't. @return: Single C{float} if only one B{C{fs}} is given, otherwise a tuple of C{float}s. @raise TypeError: Some B{C{fs}} not C{scalar}. ''' _f = _floats.setdefault if sets.get(_sets_, False) else \ _floats.get fl = [] try: for i, f in enumerate(fs): f = float(f) fl.append(_f(f, f)) except Exception as x: from pygeodesy.lazily import _ALL_MODS _E, t = _ALL_MODS.errors._xError2(x) _fs_i = _ALL_MODS.streprs.Fmt.SQUARE(fs=i) raise _E(_fs_i, f, txt=t) return fl[0] if len(fl) == 1 else tuple(fl) def _float(f): # in .datums, .ellipsoids, ... '''(INTERNAL) Cache initial C{float}s. ''' f = float(f) return _floats.setdefault(f, f) # PYCHOK del _floats def _float0(f): # in .resections, .vector3dBase, ... '''(INTERNAL) Return C{float(B{f})} or C{INT0}. ''' if f: f = float(f) f = _floats.get(f, f) elif f is not INT0: f = _0_0 return f 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_0001 = _float( 0.0001) # 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_0_T = _1_0, # PYCHOK 1-tuple _1_5 = _float( 1.5) # PYCHOK expected _1_75 = _float( 1.75) # 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 _10_0 = _float( 10) # 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 _270_0 = _float( 270) # PYCHOK expected _360_0 = _float( 360) # PYCHOK expected _400_0 = _float( 400) # PYCHOK expected _720_0 = _float( 720) # PYCHOK expected _1000_0 = _float(1000) # PYCHOK expected _3600_0 = _float(3600) # PYCHOK expected _N_0_0 = float( '-0.0') # PYCHOK not _float! _N_1_0 = _float( -1) # PYCHOK expected _N_2_0 = _float( -2) # PYCHOK expected _N_90_0 = _float( -90) # PYCHOK expected _N_180_0 = _float(-180) # 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 # MAX_EXP = _float_info.max_exp # PYTHON system's max base 2 exponent MIN = _float(_float_info.min) # PYCHOK system's MIN float 2.2250738585072014e-308 # MIN_EXP = _float_info.min_exp # PYTHON system's min base 2 exponent # RADIX = _float_info.radix # PYTHON system's float base del _float_info except ImportError: # PYCHOK no cover DIG = 15 # PYCHOK system's 64-bit float decimal digits EPS = _float(2.220446049250313e-16) # PYCHOK EPSilon 2**-52, M{EPS +/- 1 != 1} MANT_DIG = 53 # PYCHOK float mantissa bits ≈ 53 (C{int}) MAX = _float(pow(_2_0, 1023) * (_2_0 - EPS)) # PYCHOK ≈ 10**308 # MAX_EXP = 1024 # 308 base 10 MIN = _float(pow(_2_0, -1021)) # PYCHOK ≈ 10**-308 # MIN_EXP = -1021 # -307 base 10 # RADIX = 2 # base EPS0 = _float(EPS**2) # PYCHOK near-zero comparison 4.930381e-32, or EPS or EPS_2, see function L{isnear0} EPS02 = _float(EPS**4) # PYCHOK near-zero-squared comparison 2.430865e-63 EPS_2 = _float(EPS / _2_0) # PYCHOK ≈ 1.110223024625e-16 EPS1 = _float(_1_0 - EPS) # PYCHOK ≈ 0.9999999999999998 EPS2 = _float(EPS * _2_0) # PYCHOK ≈ 4.440892098501e-16 EPS4 = _float(EPS * _4_0) # PYCHOK ≈ 8.881784197001e-16 # _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 _EPS4e8 = _float(EPS4 * 1e8) # PYCHOK ≈ 8.881784197001e-08 _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) # <https://Numbers.Computation.Free.FR/Constants/Miscellaneous/digits.html> _1__90 = _float(_1_0 / _90_0) # PYCHOK = 0.011_111_111_111_111_111_111_111_111_111_111_111_111_111_111_11111 _2__PI = _float(_2_0 / PI) # PYCHOK = 0.636_619_772_367_581_343_075_535_053_490_057_448_137_838_582_96182 _1_16th = _float(_1_0 / _16_0) # PYCHOK in .ellipsoids, .karney _1_3rd = _float(_1_0 / _3_0) # PYCHOK in .fmath _2_3rd = _float(_2_0 / _3_0) # PYCHOK in .fmath _K0_UTM = _float( 0.9996) # PYCHOK in .etm, .ktm, .utm, UTM scale, central meridian # sqrt(2) <https://WikiPedia.org/wiki/Square_root_of_2> # 1.414213562373095_048_801_688_724_209_698_078_569_671_875_376_948_073_176_679_737_99 # _1SQRT2 = _float(sqrt(_2_0) + 1) _SQRT2_2 = _float(sqrt(_0_5)) # PYCHOK = 0.7071067811865476 == sqrt(2) / 2 try: from math import inf as INF, nan as NAN # PYCHOK in Python 3+ except ImportError: # Python 2- INF = _float(_INF_) # PYCHOK INFinity, see function L{isinf}, L{isfinite} NAN = _float(_NAN_) # PYCHOK Not-A-Number, see function L{isnan} INT0 = _Int(0) # PYCHOK unique int(0) instance, see .fsums, useZ=False NEG0 = _N_0_0 # PYCHOK NEGative 0.0, see function L{isneg0} NINF = _float(-INF) # PYCHOK Negative INFinity PI2 = _float(PI * _2_0) # PYCHOK Two PI, M{PI * 2} aka I{Tau} PI_2 = _float(PI / _2_0) # PYCHOK Half PI, M{PI / 2} 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_4 = _float(PI / _4_0) # PYCHOK Quarter PI, M{PI / 4} R_M = _float(6371008.771415) # PYCHOK mean, spherical earth radius (C{meter}) def _enquote(strs, quote=_QUOTE2_): # in .basics '''(INTERNAL) Enquote a string containing whitespace. ''' if len(strs.split()) > 1: strs = NN(quote, strs, quote) return strs def _90_EPS_2(lat): '''(INTERNAL) Off -90.0 for .gars and .wgrs. ''' if lat == _90_0: lat -= _90_0 * EPS_2 return lat def _load_lib(name): '''(INTERNAL) Load a C{dylib}, B{C{name}} must startwith('lib'). ''' # macOS 11+ (aka 10.16) no longer provides direct loading of # system libraries, instead it installs the library after a # low-level dlopen(name) call where name is the library base # name. As a result, ctypes.util.find_library can not find # any library not previously dlopen'ed. from ctypes import CDLL from ctypes.util import find_library from sys import platform ns = find_library(name), name if platform[:6] == 'darwin': # and os.name == 'posix' from ctypes import _dlopen from os.path import join ns += (_DOT_(name, 'dylib'), _DOT_(name, 'framework'), join( _DOT_(name, 'framework'), name)) else: # non-macOS def _dlopen(unused): return True for n in ns: try: if n and _dlopen(n): # handle lib = CDLL(n) # == ctypes.cdll.LoadLibrary(n) if lib._name: # has a qualified name return lib except (AttributeError, OSError): pass return None # raise OSError def machine(): '''Return standard C{platform.machine}, but distinguishing Intel I{native} from Intel I{emulation} on Apple Silicon (on macOS only). @return: Machine C{'arm64'} for Apple Silicon I{native}, C{'x86_64'} for Intel I{native}, C{"arm64_x86_64"} for Intel I{emulation}, etc. (C{str} with C{comma}s replaced by C{underscore}s). ''' return _platform2()[1] def _platform2(sep=NN): '''(INTERNAL) et platform architecture and machine as C{2-list} or C{str}. ''' global _pl2List if _pl2List is None: import platform m = platform.machine() # ARM64, arm64, x86_64, iPhone13,2, etc. m = m.replace(_COMMA_, _UNDER_) if m.lower() == 'x86_64': # on Intel or Rosetta2 ... v = platform.mac_ver() # ... and only on macOS ... if v and _version2(v[0]) > (10, 15): # ... 11+ aka 10.16 # <https://Developer.Apple.com/forums/thread/659846> if _sysctl_uint('sysctl.proc_translated') == 1: # and \ \ # _sysctl_uint('hw.optional.arm64') == 1: # PYCHOK indent m = _UNDER_('arm64', m) # Apple Si emulating Intel x86-64 _pl2List = [platform.architecture()[0], # bits m] # arm64, arm64_x86_64, x86_64, etc. return sep.join(_pl2List) if sep else _pl2List # 2-list() def _pythonarchine(sep=NN): # in test/base.py versions '''(INTERNAL) Get PyPy and Python versions and C{_platform2} as C{3-} or C{4-list} or C{str}. ''' global _Py3List if _Py3List is None: from sys import version # XXX shadows? _Py3List = [_Python_(version)] + _platform2() if _PyPy__ in version: # see test/base.py v = version.split(_PyPy__)[1].split(None, 1)[0] _Py3List.insert(0, NN(_PyPy__, v)) return sep.join(_Py3List) if sep else _Py3List # 3- or 4-list def _spaced(arg, *args): '''(INTERNAL) Enclosed in C{_SPACE_}s. ''' return NN(_SPACE_, (_SPACE_(arg, *args) if args else arg), _SPACE_) def _splituple(strs, *sep_splits): # in .basics '''(INTERNAL) Split a C{comma}- or C{whitespace}-separated string into a C{tuple} of stripped strings. ''' t = (strs.split(*sep_splits) if sep_splits else strs.replace(_COMMA_, _SPACE_).split()) if strs else () return tuple(s.strip() for s in t if s) def _sysctl_uint(name): '''(INTERNAL) Get an unsigned int sysctl item by name, use on macOS ONLY! ''' libc = _load_lib('libc') if libc: # <https://StackOverflow.com/questions/759892/python-ctypes-and-sysctl> from ctypes import byref, c_char_p, c_size_t, c_uint, sizeof # get_errno n = name if str is bytes else bytes(name, _utf_8_) # PYCHOK isPython2 = str is bytes u = c_uint(0) z = c_size_t(sizeof(u)) r = libc.sysctlbyname(c_char_p(n), byref(u), byref(z), None, c_size_t(0)) else: # could find or load 'libc' r = -2 return int(r if r else u.value) # -1 ENOENT error, -2 no libc def _under_name(name): # in .datums '''(INTERNAL) Prefix C{name} with I{underscore}. ''' return name if name.startswith(_UNDER_) else NN(_UNDER_, name) def _usage(file_py, *args): # in .etm '''(INTERNAL) Build "usage: python -m ..." cmd line for module B{C{file_py}}. ''' import os, sys # PYCHOK imports p = NN(_python_, sys.version_info[0]) m = os.path.dirname(file_py).replace(os.getcwd(), _ELLIPSIS_) \ .replace(os.sep, _DOT_).strip() b, x = os.path.splitext(os.path.basename(file_py)) if x == '.py' and b != '__main__': m = _DOT_(m, b) return NN('usage', _SPACE_(_COLON_, p, '-m', _enquote(m), *args)) def _version2(version, n=2): '''(INTERNAL) Split C{B{version} str} into 1-, 2- or 3-tuple of C{int}s. ''' def _int(*vs): for v in vs: try: yield int(v) except (TypeError, ValueError): pass t = tuple(_int(*_splituple(version, _DOT_, 2))) + (0,) * n return t[:n] MANTIS = MANT_DIG # DEPRECATED, use C{MANT_DIG}. __all__ = (_DIG_, _EPS_, _EPS0_, _EPS02_, _EPS1_, _EPS2_, _EPS_2_, _EPS4_, _INF_, _INT0_, 'MANTIS', # DEPRECATED _MANT_DIG_, _MAX_, _MIN_, # don't include _MISSING_! _NAN_, _NEG0_, _NINF_, _NN_, _PI_, _PI2_, _PI_2_, _PI3_, _PI3_2_, _PI4_, _PI_4_, Str_.__name__, # classes float_.__name__, machine.__name__) # imported by .lazily __version__ = '22.06.28' # **) MIT License # # Copyright (C) 2016-2022 -- 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.