# Coverage for pygeodesy/dms.py : 94%

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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 # 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.