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# -*- coding: utf-8 -*- 

 

u'''Parsers and formatters of angles in degrees, minutes and seconds. 

 

Functions to parse and format bearing, compass, lat- and longitudes in various forms of 

degrees, minutes and seconds with or without degrees, minute and second symbols plus a 

compass point suffix, including parsing of C{decimal} and C{sexagecimal} degrees. 

 

After I{(C) Chris Veness 2011-2015} published under the same MIT Licence**, see 

U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>} and 

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

 

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

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

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

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

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

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

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

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

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

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

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

 

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

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

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

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

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

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

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

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

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

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

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

 

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

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

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

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

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

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

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

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

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

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

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

 

@var S_DEG: Degrees symbol, default "°" 

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

@var S_SEC: Seconds symbol, default "″" aka C{DOUBLE PRIME} 

@var S_RAD: Radians symbol, default "" aka C{NN} 

@var S_SEP: Separator between deg°, min′, sec″ and suffix, default "" aka C{NN} 

''' 

 

from pygeodesy.basics import copysign0, isodd, issequence, isstr, map2, neg 

from pygeodesy.errors import ParseError, _parseX, RangeError, _rangerrors, \ 

_ValueError 

from pygeodesy.interns import NN, _COMMA_, _d_, _DASH_, _deg_, _DEGREE_, \ 

_degrees_, _DOT_, _e_, _E_, _EW_, _f_, _F_, _g_, \ 

_MINUS_, _MINUTE_, _N_, _NE_, _NS_, _NSEW_, _NW_, \ 

_PERCENTDOTSTAR_, _PLUS_, _PLUSMINUS_, _QUOTE1_, \ 

_QUOTE2_, _radians_, _S_, _SE_, _SECOND_, _SPACE_, \ 

_SW_, _W_, _0_, _0_0, _0_5, _60_0, _360_0, _3600_0 

from pygeodesy.lazily import _ALL_LAZY, _sys_version_info2 

from pygeodesy.streprs import Fmt, fstr, fstrzs, _0wpF 

 

from math import modf, radians 

try: 

from string import letters as _LETTERS 

except ImportError: # Python 3+ 

from string import ascii_letters as _LETTERS 

 

__all__ = _ALL_LAZY.dms 

__version__ = '21.11.17' 

 

(F_D, # unsigned format "deg°" with symbol, plus suffix N, S, E or W 

F_DM, # unsigned format "deg°min′" with symbols, plus suffix 

F_DMS, # unsigned format "deg°min′sec″" with symbols, plus suffix 

F_DEG, # unsigned format "[D]DD" without symbols, plus suffix 

F_MIN, # unsigned format "[D]DDMM" without symbols, plus suffix 

F_SEC, # unsigned format "[D]DDMMSS" without symbols, plus suffix 

F_D60, # unsigned format "[D]DD.MMSS" without symbols, plus suffix 

F__E, # unsigned format "%E" without symbols, plus suffix 

F__F, # unsigned format "%F" without symbols, plus suffix 

F__G, # unsigned format "%G" without symbols, plus suffix 

F_RAD, # convert degrees to radians and format unsigned "RR" plus suffix 

) = _F_s = (_d_, 'dm', 'dms', _deg_, 'min', 'sec', 'd60', _e_, _f_, _g_, 'rad') 

 

(F_D_, # signed format "-/deg°" with symbol, without suffix 

F_DM_ , # signed format "-/deg°min′" with symbols, without suffix 

F_DMS_, # signed format "-/deg°min′sec″" with symbols, without suffix 

F_DEG_, # signed format "-/[D]DD" without symbols, without suffix 

F_MIN_, # signed format "-/[D]DDMM" without symbols, without suffix 

F_SEC_, # signed format "-/[D]DDMMSS" without symbols, without suffix 

F_D60_, # signed format "-/[D]DD.MMSS" without symbols, without suffix 

F__E_ , # signed format "-/%E" without symbols, without suffix 

F__F_, # signed format "-/%F" without symbols, without suffix 

F__G_, # signed format "-/%G" without symbols, without suffix 

F_RAD_, # convert degrees to radians and format as signed "-/RR" without suffix 

) = _F_s_ = (NN(_MINUS_, _) for _ in _F_s) # PYCHOK unused 

 

(F_D__, # signed format "-/+deg°" with symbol, without suffix 

F_DM__, # signed format "-/+deg°min′" with symbols, without suffix 

F_DMS__, # signed format "-/+deg°min′sec″" with symbols, without suffix 

F_DEG__, # signed format "-/+[D]DD" without symbols, without suffix 

F_MIN__, # signed format "-/+[D]DDMM" without symbols, without suffix 

F_SEC__, # signed format "-/+[D]DDMMSS" without symbols, without suffix 

F_D60__, # signed format "-/+[D]DD.MMSS" without symbols, without suffix 

F__E__, # signed format "-/+%E" without symbols, without suffix 

F__F__, # signed format "-/+%F" without symbols, without suffix 

F__G__, # signed format "-/+%G" without symbols, without suffix 

F_RAD__, # convert degrees to radians and format signed "-/+RR" without suffix 

) = _F_s__ = (NN(_PLUS_, _) for _ in _F_s) # PYCHOK unused 

 

S_DEG = _DEGREE_ # degrees "°" symbol 

S_MIN = _MINUTE_ # minutes "′" symbol 

S_SEC = _SECOND_ # seconds "″" symbol 

S_RAD = NN # radians symbol "" 

S_SEP = NN # separator between deg, min and sec "" 

S_NUL = NN # empty string 

 

_beyond_ = 'beyond' 

_DDDMMSS_ = 'DDDMMSS' 

_deg_min_ = 'deg+min' 

_SDIGITS_ = '-0123456789+' 

_sexagecimal_ = 'sexagecimal' 

_SEXAGECIMUL = 1.e4 # decimal C{D.MMSS} into sexagecimal C{DMMSS} 

 

_F_case = {F_D: F_D, F_DEG: F_D, _degrees_: F_D, # unsigned _F_s 

F_DM: F_DM, F_MIN: F_DM, _deg_min_: F_DM, 

F_D60: F_D60, F_RAD: F_RAD, _radians_: F_RAD, 

F__E: F__E, F__F: F__F, F__G: F__G} 

 

_F_prec = {F_D: 6, F_DM: 4, F_DMS: 2, # default precs 

F_DEG: 6, F_MIN: 4, F_SEC: 2, F_D60: 0, 

F__E: 8, F__F: 8, F__G: 8, F_RAD: 5} 

 

_F_symb = set((F_DMS, F_DM, F_D, _deg_min_)) # == {} pychok -Tb 

 

# note ord(_DEGREE_) == ord('°') == 176, ord('˚') == 730 

_S_norm = {_DEGREE_: S_DEG, '˚': S_DEG, '^': S_DEG, # normalized DMS symbols 

_MINUTE_: S_MIN, '’': S_MIN, _QUOTE1_: S_MIN, 

_SECOND_: S_SEC, '”': S_SEC, _QUOTE2_: S_SEC} 

assert S_DEG in _S_norm and S_MIN in _S_norm and S_SEC in _S_norm 

 

 

def _split3(strDMS, suffix=_NSEW_): 

'''(INTERNAL) Return sign, stripped B{C{strDMS}} and compass point. 

''' 

t = strDMS.strip() 

s = t[:1] # sign or digit 

P = t[-1:] # compass point or digit or dot 

t = t.lstrip(_PLUSMINUS_).rstrip(suffix).strip() 

return s, t, P 

 

 

def _toDMS(deg, form, prec, sep, ddd, suff): # MCCABE 18, by .units.py 

'''(INTERNAL) Convert degrees to C{str}, with/-out sign and/or suffix. 

''' 

def _DMS3(d, ddd, p, w): 

d, s = divmod(round(d * _3600_0, p), _3600_0) 

m, s = divmod(s, _60_0) 

return (_0wpF(ddd, 0, d), 

_0wpF( 2, 0, m), 

_0wpF(w+2, p, s)) 

 

try: 

deg = float(deg) 

except (TypeError, ValueError) as x: 

raise _ValueError(deg=deg, txt=str(x)) 

 

form = form.lower() # .strip() 

sign = form[:1] 

if sign in _PLUSMINUS_: 

form = form[1:] 

else: 

sign = None 

 

if prec is None: 

z = p = _F_prec.get(form, 6) 

else: 

z = int(prec) 

p = abs(z) 

w = p + (1 if p else 0) 

d = abs(deg) 

 

if form in _F_symb: 

s_deg, s_min, s_sec = S_DEG, S_MIN, S_SEC 

else: 

s_deg = s_min = s_sec = S_NUL # no symbols 

 

F = _F_case.get(form, F_DMS) 

if F is F_DMS: # 'deg+min+sec', default 

d, m, s = _DMS3(d, ddd, p, w) 

t = NN(d, s_deg, sep, 

m, s_min, sep, s) 

s = s_sec 

 

elif F is F_DM: # 'deg+min' 

d, m = divmod(round(d * _60_0, p), _60_0) 

t = NN(_0wpF(ddd, 0, d), s_deg, sep, 

_0wpF(w+2, p, m)) 

s = s_min 

 

elif F is F_D: # 'deg' 

t = _0wpF(ddd+w, p, d) 

s = s_deg 

 

elif F is F_D60: # 'deg.MMSSss' 

d, m, s = _DMS3(d, ddd, p, w) 

if z > 1: 

s = fstrzs(s) 

z = 0 # skip fstrzs below 

t = NN(d, _DOT_, m, sep, *s.split(_DOT_)) 

s = S_NUL 

 

elif F is F_RAD: 

t = NN(_PERCENTDOTSTAR_, _F_) % (p, radians(d)) 

s = S_RAD 

 

else: # F in (F__E, F__F, F__G) 

t = NN(_PERCENTDOTSTAR_, F) % (p, d) 

s = S_NUL 

 

if z > 1: 

t = fstrzs(t, ap1z=F is F__G) 

 

if sign: 

if deg < 0: 

t = _MINUS_ + t 

elif deg > 0 and sign == _PLUS_: 

t = _PLUS_ + t 

elif suff: # and deg: # zero suffix? 

s += sep + suff 

return (t + s) if s else t 

 

 

def bearingDMS(bearing, form=F_D, prec=None, sep=S_SEP): 

'''Convert bearing to a string (without compass point suffix). 

 

@arg bearing: Bearing from North (compass C{degrees360}). 

@kwarg form: Optional B{C{bearing}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Optional separator between degrees, minutes, seconds 

and suffix (C{str}). 

 

@return: Compass degrees per the specified B{C{form}} (C{str}). 

 

@JSname: I{toBrng}. 

''' 

return _toDMS(bearing % _360_0, form, prec, sep, 1, NN) 

 

 

def _clipped_(angle, limit, units): 

'''(INTERNAL) Helper for C{clipDegrees} and C{clipRadians}. 

''' 

c = min(limit, max(-limit, angle)) 

if c != angle and _rangerrors: 

t = _SPACE_(fstr(angle, prec=6, ints=True), _beyond_, 

copysign0(limit, angle), units) 

raise RangeError(t, txt=None) 

return c 

 

 

def clipDegrees(deg, limit): 

'''Clip a lat- or longitude to the given range. 

 

@arg deg: Unclipped lat- or longitude (C{degrees}). 

@arg limit: Valid C{-/+B{limit}} range (C{degrees}). 

 

@return: Clipped value (C{degrees}). 

 

@raise RangeError: If B{C{deg}} outside the valid C{-/+B{limit}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

''' 

return _clipped_(deg, limit, _degrees_) if limit and limit > 0 else deg 

 

 

def clipRadians(rad, limit): 

'''Clip a lat- or longitude to the given range. 

 

@arg rad: Unclipped lat- or longitude (C{radians}). 

@arg limit: Valid C{-/+B{limit}} range (C{radians}). 

 

@return: Clipped value (C{radians}). 

 

@raise RangeError: If B{C{rad}} outside the valid C{-/+B{limit}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

''' 

return _clipped_(rad, limit, _radians_) if limit and limit > 0 else rad 

 

 

def compassDMS(bearing, form=F_D, prec=None, sep=S_SEP): 

'''Convert bearing to a string suffixed with compass point. 

 

@arg bearing: Bearing from North (compass C{degrees360}). 

@kwarg form: Optional B{C{bearing}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Optional separator between degrees, minutes, seconds 

and suffix (C{str}). 

 

@return: Compass degrees and point in the specified form (C{str}). 

''' 

return _toDMS(bearing % _360_0, form, prec, sep, 1, compassPoint(bearing)) 

 

 

def compassPoint(bearing, prec=3): 

'''Convert bearing to a compass point. 

 

@arg bearing: Bearing from North (compass C{degrees360}). 

@kwarg prec: Optional precision (1 for cardinal or basic winds, 

2 for intercardinal or ordinal or principal winds, 

3 for secondary-intercardinal or half-winds or 

4 for quarter-winds). 

 

@return: Compass point (1-, 2-, 3- or 4-letter C{str}). 

 

@raise ValueError: Invalid B{C{prec}}. 

 

@see: U{Dms.compassPoint 

<https://GitHub.com/ChrisVeness/geodesy/blob/master/dms.js>} 

and U{Compass rose<https://WikiPedia.org/wiki/Compass_rose>}. 

 

@example: 

 

>>> p = compassPoint(24, 1) # 'N' 

>>> p = compassPoint(24, 2) # 'NE' 

>>> p = compassPoint(24, 3) # 'NNE' 

>>> p = compassPoint(24) # 'NNE' 

>>> p = compassPoint(11, 4) # 'NbE' 

>>> p = compassPoint(30, 4) # 'NEbN' 

 

>>> p = compassPoint(11.249) # 'N' 

>>> p = compassPoint(11.25) # 'NNE' 

>>> p = compassPoint(-11.25) # 'N' 

>>> p = compassPoint(348.749) # 'NNW' 

''' 

try: # m = 2 << prec; x = 32 // m 

m, x = _MOD_X[prec] 

except KeyError: 

raise _ValueError(prec=prec) 

# not round(), i.e. half-even rounding in Python 3+, 

# but round-away-from-zero as int(b + 0.5) iff b is 

# non-negative, otherwise int(b + copysign0(_0_5, b)) 

q = int((bearing % _360_0) * m / _360_0 + _0_5) % m 

return _WINDS[q * x] 

 

 

_MOD_X = {1: (4, 8), 2: (8, 4), 3: (16, 2), 4: (32, 1)} # [prec] 

_WINDS = (_N_, 'NbE', 'NNE', 'NEbN', _NE_, 'NEbE', 'ENE', 'EbN', 

_E_, 'EbS', 'ESE', 'SEbE', _SE_, 'SEbS', 'SSE', 'SbE', 

_S_, 'SbW', 'SSW', 'SWbS', _SW_, 'SWbW', 'WSW', 'WbS', 

_W_, 'WbN', 'WNW', 'NWbW', _NW_, 'NWbN', 'NNW', 'NbW') 

 

 

def degDMS(deg, prec=6, s_D=S_DEG, s_M=S_MIN, s_S=S_SEC, neg=_MINUS_, pos=NN): 

'''Convert degrees to a string in degrees, minutes I{or} seconds. 

 

@arg deg: Value in degrees (C{scalar}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg s_D: Symbol for degrees (C{str}). 

@kwarg s_M: Symbol for minutes (C{str}) or C{""}. 

@kwarg s_S: Symbol for seconds (C{str}) or C{""}. 

@kwarg neg: Optional sign for negative (C{'-'}). 

@kwarg pos: Optional sign for positive (C{''}). 

 

@return: I{Either} degrees, minutes I{or} seconds (C{str}). 

''' 

try: 

deg = float(deg) 

except (TypeError, ValueError) as x: 

raise _ValueError(deg=deg, txt=str(x)) 

 

d, s = abs(deg), s_D 

if d < 1: 

if s_M: 

d *= _60_0 

if d < 1 and s_S: 

d *= _60_0 

s = s_S 

else: 

s = s_M 

elif s_S: 

d *= _3600_0 

s = s_S 

 

z = int(prec) 

t = Fmt.F(d, prec=abs(z)) 

if z > 1: 

t = fstrzs(t) 

n = neg if deg < 0 else pos 

return NN(n, t, s) 

 

 

def latDMS(deg, form=F_DMS, prec=2, sep=S_SEP): 

'''Convert latitude to a string, optionally suffixed with N or S. 

 

@arg deg: Latitude to be formatted (C{degrees}). 

@kwarg form: Optional B{C{deg}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Optional separator between degrees, minutes, seconds 

and suffix (C{str}). 

 

@return: Degrees in the specified form (C{str}). 

 

@JSname: I{toLat}. 

''' 

return _toDMS(deg, form, prec, sep, 2, _S_ if deg < 0 else _N_) 

 

 

def latlonDMS(lls, form=F_DMS, prec=None, sep=None): 

'''Convert one or more C{LatLon} instances to strings. 

 

@arg lls: Single or a list, sequence, tuple, etc. (C{LatLon}s). 

@kwarg form: Optional B{C{deg}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Separator joining B{C{lls}} (C{str} or C{None}). 

 

@return: A C{str} or C{tuple} if B{C{sep}=None} or C{NN} and if 

B{C{lls}} is a list, sequence, tuple, etc. 

 

@see: Function L{latlonDMS_}. 

''' 

if issequence(lls): 

t = tuple(ll.toStr(form=form, prec=prec) for ll in lls) 

if sep: 

t = sep.join(t) 

else: 

t = lls.toStr(form=form, prec=prec) 

return t 

 

 

def latlonDMS_(*lls, **form_prec_sep): 

'''Convert one or more C{LatLon} instances to strings. 

 

@arg lls: The instances, all positional arguments (C{LatLon}s). 

@kwarg form_prec_sep: Optional B{C{form}}at, B{C{prec}}ision and 

B{C{sep}}arator keyword arguments, see 

function L{latlonDMS}. 

 

@return: A C{str} or C{tuple} if C{B{sep}=None} or C{NN} and if 

more than one B{C{lls}} is given. 

 

@see: Function L{latlonDMS}. 

''' 

if not lls: 

raise _ValueError(lls=lls, **form_prec_sep) 

elif len(lls) < 2: 

lls = lls[0] 

return latlonDMS(lls, **form_prec_sep) 

 

 

def lonDMS(deg, form=F_DMS, prec=2, sep=S_SEP): 

'''Convert longitude to a string, optionally suffixed with E or W. 

 

@arg deg: Longitude to be formatted (C{degrees}). 

@kwarg form: Optional B{C{deg}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Optional separator between degrees, minutes, seconds 

and suffix (C{str}). 

 

@return: Degrees in the specified form (C{str}). 

 

@JSname: I{toLon}. 

''' 

return _toDMS(deg, form, prec, sep, 3, _W_ if deg < 0 else _E_) 

 

 

if _sys_version_info2 < (3, 0): # Python 2- 

 

def normDMS(strDMS, norm=None): 

'''Normalize all degree, minute and second DMS symbols in a string 

to the default DMS symbols %r, %r and %r. 

 

@arg strDMS: DMS (C{str}). 

@kwarg norm: Optional replacement symbol (C{str}) or C{None} for 

the default DMS symbols. Use C{B{norm}=""} or 

C{B{norm}=pygeodesy.NN} to remove all DMS symbols. 

 

@return: Normalized DMS (C{str}). 

''' 

if norm is None: 

for s, S in _S_norm.items(): 

strDMS = strDMS.replace(s, S) 

else: 

for s in _S_norm.keys(): 

strDMS = strDMS.replace(s, norm) 

strDMS = strDMS.rstrip(norm) 

return strDMS 

 

else: # Python 3+ 

 

def normDMS(strDMS, norm=None): # PYCHOK expected 

'''Normalize all degree, minute and second DMS symbols in a string 

to the default DMS symbols %r, %r and %r. 

 

@arg strDMS: DMS (C{str}). 

@kwarg norm: Optional replacement symbol (C{str}) or C{None} for 

the default DMS symbols. Use C{B{norm}=""} or 

C{B{norm}=pygeodesy.NN} to remove all DMS symbols. 

 

@return: Normalized DMS (C{str}). 

''' 

S_norm = _S_norm 

 

if norm is None: 

S_norm_get = S_norm.get 

t = NN.join(S_norm_get(s, s) for s in strDMS) 

 

elif norm: # replace all DMS symbols 

t = NN.join((norm if s in S_norm else s) for s in strDMS) 

t = t.rstrip(norm) 

 

else: # remove all DMS symbols 

t = NN.join(s for s in strDMS if s not in S_norm) 

 

return t 

 

 

if __debug__: # no __doc__ at -O and -OO 

normDMS.__doc__ %= (S_DEG, S_MIN, S_SEC) 

 

 

def parseDDDMMSS(strDDDMMSS, suffix=_NSEW_, sep=S_SEP, clip=0, sexagecimal=False): # MCCABE 16 

'''Parse a lat- or longitude represention forms as [D]DDMMSS in degrees. 

 

@arg strDDDMMSS: Degrees in any of several forms (C{str}) and 

types (C{float}, C{int}, other). 

@kwarg suffix: Optional, valid compass points (C{str}, C{tuple}). 

@kwarg sep: Optional separator between "[D]DD", "MM" and "SS" (%r). 

@kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{degrees}). 

@kwarg sexagecimal: If C{True}, convert C{"D.MMSS"} or C{float(D.MMSS)} 

to C{base-60} "MM" and "SS" digits. See also C{form}s 

L{F_D60}, L{F_D60_} and L{F_D60__}. 

 

@return: Degrees (C{float}). 

 

@raise ParseError: Invalid B{C{strDDDMMSS}} or B{C{clip}} or the form of 

B{C{strDDDMMSS}} is incompatible with the suffixed or 

B{C{suffix}} compass point. 

 

@raise RangeError: Value of B{C{strDDDMMSS}} outside the valid C{-/+B{clip}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

 

@note: Type C{str} values "[D]DD", "[D]DDMM", "[D]DDMMSS" and "[D]DD.MMSS" 

for B{C{strDDDMMSS}} are parsed properly only if I{either} unsigned 

and suffixed with a valid, compatible, C{cardinal} L{compassPoint} 

I{or} if unsigned or signed, unsuffixed and with keyword argument 

B{C{suffix}} set to B{%r}, B{%r} or a compatible L{compassPoint}. 

 

@note: Unlike function L{parseDMS}, type C{float}, C{int} and other non-C{str} 

B{C{strDDDMMSS}} values are interpreted as C{form} [D]DDMMSS or 

[D]DD.MMSS. For example, C{int(1230)} is returned as 12.5 and I{not 

1230.0} degrees. However, C{int(345)} is considered C{form} "DDD" 

345 I{and not "DDMM" 0345}, unless B{C{suffix}} specifies compass 

point B{%r}. Also, C{float(15.0523)} is returned as 15.0523 decimal 

degrees and I{not 15°5′23″ sexagecimal}. To consider the latter, use 

C{float(15.0523)} or C{"15.0523"} and specify keyword argument 

C{B{sexagecimal}=True}. 

 

@see: Functions L{parseDMS}, L{parseDMS2} and L{parse3llh}. 

''' 

def _DDDMMSS(strDDDMMSS, suffix, sep, clip, sexagecimal): 

S = suffix.upper() 

if isstr(strDDDMMSS): 

if sep: 

t = strDDDMMSS.replace(sep, NN) 

else: 

t = strDDDMMSS 

s, t, P = _split3(t, S) 

f = t.split(_DOT_) 

n = len(f[0]) 

f = NN.join(f) 

if 1 < n < 8 and f.isdigit() and ( 

(P in S and s.isdigit()) or 

(P.isdigit() and s in _SDIGITS_ # PYCHOK indent 

and S in _WINDS)): 

# check [D]DDMMSS form and compass point 

X = _EW_ if isodd(n) else _NS_ 

if not (P in X or (S in X and (P.isdigit() or P == _DOT_))): 

t = _DDDMMSS_[int(X is _NS_):(n | 1)], _DASH_.join(X) 

raise ParseError('form %s applies %s' % t) 

elif not sexagecimal: # try other forms 

return _DMS2deg(strDDDMMSS, S, sep, clip) 

 

if sexagecimal: # move decimal dot from ... 

n += 4 # ... [D]DD.MMSSs to [D]DDMMSS.s 

if n < 6: 

raise ParseError('%s digits (%s)' % (_sexagecimal_, n)) 

elif n > len(f): # if (z := n - len(f)) > 0: 

t = f + (_0_ * (n - len(f))) # + (_0_ * z) 

else: 

t = _DOT_(f[:n], f[n:]) 

f = _0_0 # fraction 

 

else: # float or int to [D]DDMMSS[.fff] 

f, m = float(strDDDMMSS), 0 

if sexagecimal: 

f *= _SEXAGECIMUL 

m = 6 

s = P = _0_ # anything except NN, _S_, _SW_, _W_ 

if f < 0: 

f = -f 

s = _MINUS_ 

f, i = modf(f) 

t = str(int(i)) # str(i) == 'i.0' 

n = len(t) # number of digits to ... 

if n < m: # ... min required or ... 

t = (_0_ * (m - n)) + t 

# ... match the given compass point 

elif S in (_NS_ if isodd(n) else _EW_): 

t = _0_ + t 

# P = S 

# elif n > 1: 

# P = (_EW_ if isodd(n) else _NS_)[0] 

n = len(t) 

 

if n < 4: # [D]DD[.ddd] 

t = (float(t) + f), 

else: 

f += float(t[n-2:]) 

if n < 6: # [D]DDMM[.mmm] 

t = float(t[:n-2]), f 

else: # [D]DDMMSS[.sss] 

t = float(t[:n-4]), float(t[n-4:n-2]), f 

d = _dms2deg(s, P, *t) 

 

return clipDegrees(d, float(clip)) if clip else d 

 

return _parseX(_DDDMMSS, strDDDMMSS, suffix, sep, clip, sexagecimal, 

strDDDMMSS=strDDDMMSS, suffix=suffix) 

 

 

if __debug__: # no __doc__ at -O and -OO 

parseDDDMMSS.__doc__ %= (S_SEP, _NS_, _EW_, _NS_) 

 

 

def _dms2deg(s, P, deg, min=_0_0, sec=_0_0): 

'''(INTERNAL) Helper for C{parseDDDMMSS} and C{_DMS2deg}. 

''' 

deg += (min + (sec / _60_0)) / _60_0 

if s == _MINUS_ or (P and P in _SW_): 

deg = neg(deg) 

return deg 

 

 

def _DMS2deg(strDMS, suffix, sep, clip): 

'''(INTERNAL) Helper for C{parseDDDMMSS} and C{parseDMS}. 

''' 

try: 

d = float(strDMS) 

 

except (TypeError, ValueError): 

s, t, P = _split3(strDMS, suffix.upper()) 

if sep: # remove all DMS symbols 

t = normDMS(t.replace(sep, _SPACE_), norm=NN) 

else: # replace all DMS symbols 

t = normDMS(t, norm=_SPACE_) 

t = map2(float, t.strip().split()) 

d = _dms2deg(s, P, *t[:3]) 

 

return clipDegrees(d, float(clip)) if clip else d 

 

 

def parseDMS(strDMS, suffix=_NSEW_, sep=S_SEP, clip=0): # MCCABE 14 

'''Parse a lat- or longitude representation in C{degrees}. 

 

This is very flexible on formats, allowing signed decimal 

degrees, degrees and minutes or degrees minutes and seconds 

optionally suffixed by a cardinal compass point. 

 

A variety of symbols, separators and suffixes are accepted, 

for example "3°37′09″W". Minutes and seconds may be omitted. 

 

@arg strDMS: Degrees in any of several forms (C{str}) and 

types (C{float}, C{int}, other). 

@kwarg suffix: Optional, valid compass points (C{str}, C{tuple}). 

@kwarg sep: Optional separator between deg°, min′ and sec″ (C{''}). 

@kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{degrees}). 

 

@return: Degrees (C{float}). 

 

@raise ParseError: Invalid B{C{strDMS}} or B{C{clip}}. 

 

@raise RangeError: Value of B{C{strDMS}} outside the valid C{-/+B{clip}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

 

@note: Unlike function L{parseDDDMMSS}, type C{float}, C{int} and other 

non-C{str} B{C{strDMS}} values are considered decimal (and not 

sexagecimal) degrees. For example, C{int(1230)} is returned 

as 1230.0 I{and not as 12.5} degrees and C{float(345)} as 345.0 

I{and not as 3.75} degrees! 

 

@see: Functions L{parseDDDMMSS}, L{parseDMS2} and L{parse3llh}. 

''' 

return _parseX(_DMS2deg, strDMS, suffix, sep, clip, strDMS=strDMS, suffix=suffix) 

 

 

def parseDMS2(strLat, strLon, sep=S_SEP, clipLat=90, clipLon=180): 

'''Parse a lat- and a longitude representions C{"lat, lon"} in C{degrees}. 

 

@arg strLat: Latitude in any of several forms (C{str} or C{degrees}). 

@arg strLon: Longitude in any of several forms (C{str} or C{degrees}). 

@kwarg sep: Optional separator between deg°, min′ and sec″ (C{''}). 

@kwarg clipLat: Limit latitude to range C{-/+B{clipLat}} (C{degrees}). 

@kwarg clipLon: Limit longitude to range C{-/+B{clipLon}} (C{degrees}). 

 

@return: A L{LatLon2Tuple}C{(lat, lon)} in C{degrees}. 

 

@raise ParseError: Invalid B{C{strLat}} or B{C{strLon}}. 

 

@raise RangeError: Value of B{C{strLat}} or B{C{strLon}} outside the 

valid C{-/+B{clipLat}} or C{-/+B{clipLon}} range 

and L{pygeodesy.rangerrors} set to C{True}. 

 

@note: See the B{Notes} at function L{parseDMS}. 

 

@see: Functions L{parseDDDMMSS}, L{parseDMS} and L{parse3llh}. 

''' 

from pygeodesy.namedTuples import LatLon2Tuple # avoid circluar import 

 

return LatLon2Tuple(parseDMS(strLat, suffix=_NS_, sep=sep, clip=clipLat), 

parseDMS(strLon, suffix=_EW_, sep=sep, clip=clipLon)) 

 

 

def parse3llh(strllh, height=0, sep=_COMMA_, clipLat=90, clipLon=180): 

'''Parse a string C{"lat lon [h]"} representing lat-, longitude in 

C{degrees} and optional height in C{meter}. 

 

The lat- and longitude value must be separated by a separator 

character. If height is present it must follow, separated by 

another separator. 

 

The lat- and longitude values may be swapped, provided at least 

one ends with the proper compass point. 

 

@arg strllh: Latitude, longitude[, height] (C{str}, ...). 

@kwarg height: Optional, default height (C{meter}) or C{None}. 

@kwarg sep: Optional separator between C{"lat lon [h]"} (C{str}). 

@kwarg clipLat: Limit latitude to range C{-/+B{clipLat}} (C{degrees}). 

@kwarg clipLon: Limit longitude to range C{-/+B{clipLon}} (C{degrees}). 

 

@return: A L{LatLon3Tuple}C{(lat, lon, height)} in C{degrees}, 

C{degrees} and C{float}. 

 

@raise RangeError: Lat- or longitude value of B{C{strllh}} outside 

the valid C{-/+B{clipLat}} or C{-/+B{clipLon}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

 

@raise ValueError: Invalid B{C{strllh}} or B{C{height}}. 

 

@note: See the B{Notes} at function L{parseDMS}. 

 

@see: Functions L{parseDDDMMSS}, L{parseDMS} and L{parseDMS2}. 

 

@example: 

 

>>> parse3llh('000°00′05.31″W, 51° 28′ 40.12″ N') 

(51.4778°N, 000.0015°W, 0) 

''' 

from pygeodesy.namedTuples import LatLon3Tuple # avoid circluar import 

 

def _3llh(strllh, height, sep): 

ll = strllh.strip().split(sep) 

if len(ll) > 2: # XXX interpret height unit 

h = float(ll.pop(2).rstrip(_LETTERS).strip()) 

else: 

h = height # None from wgrs.Georef.__new__ 

if len(ll) != 2: 

raise ValueError 

 

a, b = [_.strip() for _ in ll] # PYCHOK false 

if a[-1:] in _EW_ or b[-1:] in _NS_: 

a, b = b, a 

return LatLon3Tuple(parseDMS(a, suffix=_NS_, clip=clipLat), 

parseDMS(b, suffix=_EW_, clip=clipLon), h) 

 

return _parseX(_3llh, strllh, height, sep, strllh=strllh) 

 

 

def parseRad(strRad, suffix=_NSEW_, clip=0): 

'''Parse a string representing angle in C{radians}. 

 

@arg strRad: Degrees in any of several forms (C{str} or C{radians}). 

@kwarg suffix: Optional, valid compass points (C{str}, C{tuple}). 

@kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{radians}). 

 

@return: Radians (C{float}). 

 

@raise ParseError: Invalid B{C{strRad}} or B{C{clip}}. 

 

@raise RangeError: Value of B{C{strRad}} outside the valid C{-/+B{clip}} 

range and L{pygeodesy.rangerrors} set to C{True}. 

''' 

def _Rad(strRad, suffix, clip): 

try: 

r = float(strRad) 

 

except (TypeError, ValueError): 

s, t, P = _split3(strRad, suffix.upper()) 

r = _dms2deg(s, P, float(t)) 

 

return clipRadians(r, float(clip)) if clip else r 

 

return _parseX(_Rad, strRad, suffix, clip, strRad=strRad, suffix=suffix) 

 

 

def precision(form, prec=None): 

'''Set the default precison for a given F_ form. 

 

@arg form: L{F_D}, L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, 

L{F_SEC}, L{F_D60}, L{F__E}, L{F__F}, L{F__G} 

or L{F_RAD} (C{str}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

 

@return: Previous precision for the B{C{form}} (C{int}). 

 

@raise ValueError: Invalid B{C{form}} or B{C{prec}} or B{C{prec}} 

outside the valid range C{-/+9}. 

''' 

try: 

p = _F_prec[form] 

except KeyError: 

raise _ValueError(form=form) 

 

if prec is not None: 

from pygeodesy.units import Precision_ 

_F_prec[form] = Precision_(prec=prec, low=-9, high=9) 

 

return p 

 

 

def toDMS(deg, form=F_DMS, prec=2, sep=S_SEP, ddd=2, neg=_MINUS_, pos=NN): 

'''Convert I{signed} C{degrees} to string, without suffix. 

 

@arg deg: Degrees to be formatted (C{degrees}). 

@kwarg form: Optional B{C{deg}} format (C{str} or L{F_D}, 

L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC}, 

L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD}, 

L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, 

L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_}, 

L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__}, 

L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__}, 

L{F__F__}, L{F__G__} or L{F_RAD__}). 

@kwarg prec: Optional number of decimal digits (0..9 or C{None} 

for default). Trailing zero decimals are stripped 

for B{C{prec}} values of 1 and above, but kept for 

negative B{C{prec}}. 

@kwarg sep: Optional separator between degrees, minutes and 

seconds (C{str}). 

@kwarg ddd: Optional number of digits for deg° (2 or 3). 

@kwarg neg: Optional sign for negative degrees (C{'-'}). 

@kwarg pos: Optional sign for positive degrees (C{''}). 

 

@return: Degrees in the specified form (C{str}). 

''' 

t = _toDMS(deg, form, prec, sep, ddd, NN) 

if deg and form[:1] not in _PLUSMINUS_: 

if deg < 0 and neg: 

t = neg + t 

elif deg > 0 and pos: 

t = pos + t 

return t 

 

# **) MIT License 

# 

# Copyright (C) 2016-2022 -- mrJean1 at Gmail -- All Rights Reserved. 

# 

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

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# 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. 

# 

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