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# -*- coding: utf-8 -*- 

 

u'''Functions to parse and format bearing, compass, lat- and longitudes 

in various forms of degrees, minutes and seconds. 

 

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>}. 

 

@newfield example: Example, Examples 

''' 

 

from pygeodesy.fmath import fStr, fStrzs, isint 

from pygeodesy.lazily import _ALL_LAZY 

from pygeodesy.named import LatLon2Tuple, LatLon3Tuple 

 

from math import copysign, radians 

try: 

from string import letters as _LETTERS 

except ImportError: # Python 3+ 

from string import ascii_letters as _LETTERS 

 

# all public contants, classes and functions 

__all__ = _ALL_LAZY.dms 

__version__ = '19.09.07' 

 

F_D = 'd' #: Format degrees as unsigned "deg°" plus suffix (C{str}). 

F_DM = 'dm' #: Format degrees as unsigned "deg°min′" plus suffix (C{str}). 

F_DMS = 'dms' #: Format degrees as unsigned "deg°min′sec″" plus suffix (C{str}). 

F_DEG = 'deg' #: Format degrees as unsigned "[D]DD" plus suffix without symbol (C{str}). 

F_MIN = 'min' #: Format degrees as unsigned "[D]DDMM" plus suffix without symbols (C{str}). 

F_SEC = 'sec' #: Format degrees as unsigned "[D]DDMMSS" plus suffix without symbols (C{str}). 

F_RAD = 'rad' #: Convert degrees to radians and format as unsigned "RR" plus suffix (C{str}). 

 

F_D_ = '-d' #: Format degrees as signed "-/deg°" without suffix (C{str}). 

F_DM_ = '-dm' #: Format degrees as signed "-/deg°min′" without suffix (C{str}). 

F_DMS_ = '-dms' #: Format degrees as signed "-/deg°min′sec″" without suffix (C{str}). 

F_DEG_ = '-deg' #: Format degrees as signed "-/[D]DD" without suffix and symbol (C{str}). 

F_MIN_ = '-min' #: Format degrees as signed "-/[D]DDMM" without suffix and symbols (C{str}). 

F_SEC_ = '-sec' #: Format degrees as signed "-/[D]DDMMSS" without suffix and symbols (C{str}). 

F_RAD_ = '-rad' #: Convert degrees to radians and format as signed "-/RR" without suffix (C{str}). 

 

F_D__ = '+d' #: Format degrees as signed "-/+deg°" without suffix (C{str}). 

F_DM__ = '+dm' #: Format degrees as signed "-/+deg°min′" without suffix (C{str}). 

F_DMS__ = '+dms' #: Format degrees as signed "-/+deg°min′sec″" without suffix (C{str}). 

F_DEG__ = '+deg' #: Format degrees as signed "-/+[D]DD" without suffix and symbol (C{str}). 

F_MIN__ = '+min' #: Format degrees as signed "-/+[D]DDMM" without suffix and symbols (C{str}). 

F_SEC__ = '+sec' #: Format degrees as signed "-/+[D]DDMMSS" without suffix and symbols (C{str}). 

F_RAD__ = '+rad' #: Convert degrees to radians and format as signed "-/+RR" without suffix (C{str}). 

 

S_DEG = '°' #: Degrees "°" symbol (C{str}). 

S_MIN = '′' #: Minutes "′" symbol (C{str}). 

S_SEC = '″' #: Seconds "″" symbol (C{str}). 

S_RAD = '' #: Radians symbol "" (C{str}). 

S_SEP = '' #: Separator between deg, min and sec "" (C{str}). 

 

_F_prec = {F_D: 6, F_DM: 4, F_DMS: 2, #: (INTERNAL) default precs. 

F_DEG: 6, F_MIN: 4, F_SEC: 2, F_RAD: 5} 

 

_S_norm = {'^': S_DEG, '˚': S_DEG, #: (INTERNAL) normalized DMS. 

"'": S_MIN, '’': S_MIN, '′': S_MIN, 

'"': S_SEC, '″': S_SEC, '”': S_SEC} 

_S_ALL = (S_DEG, S_MIN, S_SEC) + tuple(_S_norm.keys()) #: (INTERNAL) alternates. 

 

_rangerrors = True 

 

 

class RangeError(ValueError): 

'''Error raised for lat- or longitude values outside the B{C{clip}}, 

B{C{clipLat}}, B{C{clipLon}} or B{C{limit}} range in function L{clipDMS}, 

L{parse3llh}, L{parseDMS} or L{parseDMS2}. 

 

@see: Function L{rangerrors}. 

''' 

pass 

 

 

def _toDMS(deg, form, prec, sep, ddd, suff): # MCCABE 14 

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

''' 

try: 

d = abs(float(deg)) 

except ValueError: 

raise ValueError('%s invalid: %r' % ('deg', deg)) 

 

form = form.lower() 

sign = form[:1] 

if sign in '-+': 

form = form[1:] 

else: 

sign = '' 

 

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) 

 

if form in (F_DEG, F_MIN, F_SEC): 

s_deg = s_min = s_sec = '' # no symbols 

else: 

s_deg, s_min, s_sec = S_DEG, S_MIN, S_SEC 

 

if form in (F_D, F_DEG, 'degrees'): # deg°, degrees 

t = '%0*.*f' % (ddd+w,p,d) 

s = s_deg 

 

elif form in (F_RAD, 'radians'): 

t = '%.*f' % (p,radians(d)) 

s = S_RAD 

 

elif form in (F_DM, F_MIN, 'deg+min'): 

d, m = divmod(d * 60, 60) 

t = "%0*d%s%s%0*.*f" % (ddd,int(d),s_deg, sep, w+2,p,m) 

s = s_min 

 

else: # F_DMS, F_SEC, 'deg+min+sec' 

d, s = divmod(d * 3600, 3600) 

m, s = divmod(s, 60) 

t = "%0*d%s%s%02d%s%s%0*.*f" % (ddd,int(d),s_deg, sep, 

int(m),s_min, sep, 

w+2,p,s) 

s = s_sec 

 

if z > 1: 

t = fStrzs(t) 

 

if sign: 

if deg < 0: 

t = '-' + t 

elif deg > 0 and sign == '+': 

t = '+' + t 

elif suff: 

s += sep + suff 

return t + s 

 

 

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

'''Convert bearing to a string. 

 

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

@keyword 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_RAD}, L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, 

L{F_MIN_}, L{F_SEC_}, L{F_RAD_}, L{F_D__}, 

L{F_DM__}, L{F_DMS__}, L{F_DEG__}, L{F_MIN__}, 

L{F_SEC__} or L{F_RAD__}). 

@keyword 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}}. 

@keyword sep: Optional separator (C{str}). 

 

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

 

@JSname: I{toBrng}. 

''' 

return _toDMS(bearing % 360, form, prec, sep, 1, '') 

 

 

def clipDMS(deg, limit): 

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

 

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

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

 

@return: Clipped value (C{degrees}). 

 

@raise RangeError: If B{C{abs(deg)}} beyond B{C{limit}} and 

L{rangerrors} set to C{True}. 

''' 

if limit > 0: 

c = min(limit, max(-limit, deg)) 

if _rangerrors and deg != c: 

raise RangeError('%s beyond %s degrees' % (fStr(deg, prec=6), 

fStr(copysign(limit, deg), prec=3, ints=True))) 

deg = c 

return deg 

 

 

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

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

 

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

@keyword 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_RAD}, L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, 

L{F_MIN_}, L{F_SEC_}, L{F_RAD_}, L{F_D__}, 

L{F_DM__}, L{F_DMS__}, L{F_DEG__}, L{F_MIN__}, 

L{F_SEC__} or L{F_RAD__}). 

@keyword 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}}. 

@keyword sep: Optional separator (C{str}). 

 

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

''' 

return _toDMS(bearing % 360, form, prec, sep, 1, compassPoint(bearing)) 

 

 

def compassPoint(bearing, prec=3): 

'''Convert bearing to a compass point. 

 

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

@keyword 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('%s invalid: %r' % ('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 + copysign(0.5, b)) 

q = int((bearing % 360) * m / 360.0 + 0.5) % m 

return _WINDS[q * x] 

 

 

_MOD_X = {1: (4, 8), 2: (8, 4), 3: (16, 2), 4: (32, 1)} #: (INTERNAL) [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') #: (INTERNAL) cardinals 

 

 

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

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

 

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

@keyword 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}}. 

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

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

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

@keyword neg: Optional sign for negative ('-'). 

@keyword pos: Optional sign for positive (''). 

 

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

''' 

d, s = abs(deg), s_D 

if d < 1: 

if s_M: 

d *= 60 

if d < 1 and s_S: 

d *= 60 

s = s_S 

else: 

s = s_M 

elif s_S: 

d *= 3600 

s = s_S 

 

n = neg if deg < 0 else pos 

z = int(prec) 

t = '%s%.*f' % (n, abs(z),d) 

if z > 1: 

t = fStrzs(t) 

return t + s 

 

 

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

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

 

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

@keyword 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_RAD}, L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, 

L{F_MIN_}, L{F_SEC_}, L{F_RAD_}, L{F_D__}, 

L{F_DM__}, L{F_DMS__}, L{F_DEG__}, L{F_MIN__}, 

L{F_SEC__} or L{F_RAD__}). 

@keyword 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}}. 

@keyword sep: Optional separator (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 lonDMS(deg, form=F_DMS, prec=2, sep=S_SEP): 

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

 

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

@keyword 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_RAD}, L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, 

L{F_MIN_}, L{F_SEC_}, L{F_RAD_}, L{F_D__}, 

L{F_DM__}, L{F_DMS__}, L{F_DEG__}, L{F_MIN__}, 

L{F_SEC__} or L{F_RAD__}). 

@keyword 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}}. 

@keyword sep: Optional separator (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') 

 

 

def normDMS(strDMS, norm=''): 

'''Normalize all degree ˚, minute ' and second " symbols in a 

string to the default symbols %s, %s and %s. 

 

@param strDMS: DMS (C{str}). 

@keyword norm: Optional replacement symbol, default symbol 

otherwise (C{str}). 

 

@return: Normalized DMS (C{str}). 

''' 

if norm: 

for s in _S_ALL: 

strDMS = strDMS.replace(s, norm) 

strDMS = strDMS.rstrip(norm) 

else: 

for s, S in _S_norm.items(): 

strDMS = strDMS.replace(s, S) 

return strDMS 

 

 

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

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

 

 

def parse3llh(strll, height=0, sep=',', clipLat=90, clipLon=180): 

'''Parse a string representing lat-, longitude and height point. 

 

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. 

 

@param strll: Latitude, longitude[, height] (C{str}, ...). 

@keyword height: Optional, default height (C{meter}). 

@keyword sep: Optional separator (C{str}). 

@keyword clipLat: Keep latitude in B{C{-clipLat..+clipLat}} (C{degrees}). 

@keyword clipLon: Keep longitude in B{C{-clipLon..+clipLon}} range (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{strll}} outside 

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

 

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

 

@see: Functions L{parseDMS} and L{parseDMS2} for more details 

on the forms and symbols accepted. 

 

@example: 

 

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

(51.4778°N, 000.0015°W, 0) 

''' 

try: 

ll = strll.strip().split(sep) 

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

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

else: 

h = height 

if len(ll) != 2: 

raise ValueError 

except (AttributeError, TypeError, ValueError): 

return ValueError('parsing %r failed' % (strll,)) 

 

a, b = [_.strip() for _ in ll] 

if a[-1:] in 'EW' or b[-1:] in 'NS': 

a, b = b, a 

a, b = parseDMS2(a, b, clipLat=clipLat, clipLon=clipLon) # PYCHOK LatLon2Tuple 

return LatLon3Tuple(a, b, h) 

 

 

def parseDMS(strDMS, suffix='NSEW', sep=S_SEP, clip=0): 

'''Parse a string representing deg°min′sec″ to degrees. 

 

This is very flexible on formats, allowing signed decimal 

degrees, degrees and minutes or degrees minutes and seconds 

optionally suffixed by compass direction NSEW. 

 

A variety of symbols, separators and suffixes are accepted, 

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

 

@param strDMS: Degrees in any of several forms (C{str} or C{degrees}). 

@keyword suffix: Optional, valid compass directions (NSEW). 

@keyword sep: Optional separator between deg°, min′ and sec″ (''). 

@keyword clip: Optionally, limit value to -clip..+clip (C{degrees}). 

 

@return: Degrees (C{float}). 

 

@raise RangeError: Value of B{C{strDMS}} outside the valid range 

and L{rangerrors} set to C{True}. 

 

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

 

@see: Function L{parse3llh} to parse a string with lat-, 

longitude and height values. 

''' 

try: # signed decimal degrees without NSEW 

d = float(strDMS) 

 

except (TypeError, ValueError): 

try: 

strDMS = strDMS.strip() 

 

t = strDMS.lstrip('-+').rstrip(suffix.upper()) 

if sep: 

t = t.replace(sep, ' ') 

for s in _S_ALL: 

t = t.replace(s, '') 

else: 

for s in _S_ALL: 

t = t.replace(s, ' ') 

t = list(map(float, t.strip().split())) + [0, 0] 

d = t[0] + (t[1] + t[2] / 60.0) / 60.0 

if strDMS[:1] == '-' or strDMS[-1:] in 'SW': 

d = -d 

 

except (AttributeError, IndexError, TypeError, ValueError): 

raise ValueError('parsing %r failed' % (strDMS,)) 

 

return clipDMS(d, clip) 

 

 

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

'''Parse lat- and longitude representions. 

 

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

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

@keyword sep: Optional separator between deg°, min′ and sec″ (''). 

@keyword clipLat: Keep latitude in B{C{-clipLat..+clipLat}} range (C{degrees}). 

@keyword clipLon: Keep longitude in B{C{-clipLon..+clipLon}} range (C{degrees}). 

 

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

 

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

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

 

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

 

@see: Function L{parse3llh} to parse a string with lat-, 

longitude and height values and function L{parseDMS} 

to parse individual lat- or longitudes. 

''' 

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

parseDMS(strLon, suffix='EW', sep=sep, clip=clipLon)) 

 

 

def _parseUTMUPS(strUTMUPS, band=''): # see .utm.py 

'''(INTERNAL) Parse a string representing a UTM or UPS coordinate 

consisting of C{"zone[band] hemisphere/pole easting northing"}. 

 

@param strUTMUPS: A UTM or UPS coordinate (C{str}). 

@keyword band: Optional, default Band letter (C{str}). 

 

@return: 5-Tuple (C{zone, hemisphere/pole, easting, northing, 

band}). 

 

@raise Value: Invalid B{C{strUTMUPS}}. 

''' 

try: 

u = strUTMUPS.strip().replace(',', ' ').split() 

if len(u) < 4: 

raise ValueError 

 

z, h = u[:2] 

if h[:1] not in 'NnSs': 

raise ValueError 

 

if z.isdigit(): 

z, B = int(z), band 

else: 

for i in range(len(z)): 

if not z[i].isdigit(): 

# int('') raises ValueError 

z, B = int(z[:i]), z[i:] 

break 

else: 

raise ValueError 

 

e, n = map(float, u[2:4]) 

 

except (AttributeError, TypeError, ValueError): 

raise ValueError('%s invalid: %r' % ('strUTMUPS', strUTMUPS)) 

 

return z, h.upper(), e, n, B.upper() 

 

 

def precision(form, prec=None): 

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

 

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

L{F_SEC} or L{F_RAD} (C{str}). 

@keyword 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 (C{int}). 

 

@raise ValueError: Invalid B{C{form}} or B{C{prec}} or beyond valid range. 

''' 

try: 

p = _F_prec[form] 

except KeyError: 

raise ValueError('%s invalid: %s' % ('form', form)) 

if isint(prec): 

if not -10 < prec < 10: 

raise ValueError('%s invalid: %s' % ('prec', prec)) 

_F_prec[form] = prec 

return p 

 

 

def rangerrors(raiser=None): 

'''Gert/set raising of range errors. 

 

@keyword raiser: Choose C{True} to raise or C{False} to ignore 

L{RangeError} exceptions. Use C{None} to leave 

the setting unchanged. 

 

@return: Previous setting (C{bool}). 

 

@note: Out-of-range lat- and longitude values are always 

clipped to the nearest range limit. 

''' 

global _rangerrors 

t = _rangerrors 

if raiser in (True, False): 

_rangerrors = raiser 

return t 

 

 

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

'''Convert signed degrees to string, without suffix. 

 

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

@keyword 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_RAD} without suffix, L{F_D_}, L{F_DM_}, 

L{F_DMS_}, L{F_DEG_}, L{F_MIN_}, L{F_SEC_}, 

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

L{F_DEG__}, L{F_MIN__}, L{F_SEC__} or L{F_RAD__}). 

@keyword 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}}. 

@keyword sep: Optional separator (C{str}). 

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

@keyword neg: Optional sign for negative degrees ('-'). 

@keyword pos: Optional sign for positive degrees (''). 

 

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

''' 

t = _toDMS(deg, form, prec, sep, ddd, '') 

if form[:1] not in '-+': 

t = (neg if deg < 0 else pos) + t 

return t 

 

# **) MIT License 

# 

# Copyright (C) 2016-2020 -- 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.