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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__ = '20.02.23' 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 B{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 (C{'-'}). @keyword pos: Optional sign for positive (C{''}). @return: I{Either} degrees, minutes B{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.