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# -*- coding: utf-8 -*- 

 

u'''Single-instance C{float} and C{str}ing constants, C{intern}'ed 

across C{pygeodesy} modules. 

 

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. 

''' 

_Fmt = None # cached .streprs.Fmt 

 

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]"}. 

''' 

Fmt = _Range._Fmt 

if Fmt is None: 

from pygeodesy.lazily import _ALL_MODS 

Fmt = _Range._Fmt = _ALL_MODS.streprs.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 

_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 

_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 

_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 

_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 

_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 

_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 

_lon2_ = 'lon2' # PYCHOK expected 

#_LSQUARE_ = '[' # PYCHOK LBRACK 

_ltp_ = 'ltp' # PYCHOK expected 

_m_ = 'm' # PYCHOK expected 

_M_ = 'M' # 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 

_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 

_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 

_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 

_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 

_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 

_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 

_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 

# __vs__ = ' vs ' # PYCHOK vsSPACED 

_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): 

'''Yield all positional B{C{fs}} as C{float}. 

''' 

for f in fs: 

f = float(f) 

yield _floats.get(f, f) 

 

 

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 

_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) 

 

# 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 

 

INF = _float(_INF_) # PYCHOK INFinity, see function L{isinf}, L{isfinite} 

INT0 = _Int(0) # PYCHOK unique int(0) instance, see .fsums, useZ=False 

NAN = _float(_NAN_) # PYCHOK Not-A-Number, see function L{isnan} 

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 _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 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}, Intel 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 _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 _usage(file_py): 

'''(INTERNAL) Build "usage: python ..." 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() 

if len(m.split()) > 1: 

m = NN(_QUOTE2_, m, _QUOTE2_) # == streprs.Fmt.QUOTE2(m) 

return NN('usage', _SPACE_(_COLON_, p, '-m', m)) 

 

 

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(*version.split(_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', 

'MANT_DIG', 'MAX', 'MIN', # don't include 'MISSING'! 

'MANTIS', # DEPRECATED 

'NAN', 'NEG0', 'NINF', 'NN', 

'PI', 'PI2', 'PI_2', 'PI3', 'PI3_2', 'PI4', 'PI_4', 

'Str_', # classes 

float_.__name__, machine.__name__) # imported by .lazily 

__version__ = '22.04.22' 

 

 

# **) 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.