# Coverage for pygeodesy/mgrs.py : 97%

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Military Grid Reference System (MGRS/NATO) classes L{Mgrs} and L{MGRSError} and functions L{parseMGRS} and L{toMgrs}. Pure Python implementation of MGRS / UTM conversion functions using an ellipsoidal earth model, transcoded from JavaScript originals by I{(C) Chris Veness 2014-2016} published under the same MIT Licence**, see U{MGRS<https://www.Movable-Type.co.UK/scripts/latlong-utm-mgrs.html>} and U{Module mgrs<https://www.Movable-Type.co.UK/scripts/geodesy/docs/module-mgrs.html>}. The MGRS/NATO grid references provides geocoordinate references covering the entire globe, based on UTM projections. MGRS references comprise a grid zone designation, a 100 km square identification, and an easting and northing (in metres). Depending on requirements, some parts of the reference may be omitted (implied), and easting/northing may be given to varying resolution. See also U{United States National Grid <https://www.FGDC.gov/standards/projects/FGDC-standards-projects/usng/fgdc_std_011_2001_usng.pdf>} and U{Military Grid Reference System<https://WikiPedia.org/wiki/Military_grid_reference_system>}. ''' from pygeodesy.basics import halfs2, _xinstanceof from pygeodesy.datums import _ellipsoidal_datum, _WGS84 from pygeodesy.errors import _parseX, _ValueError, _xkwds from pygeodesy.interns import NN, _AtoZnoIO_, _band_, \ _COMMASPACE_, _datum_, _easting_, \ _northing_, _SPACE_, _zone_, _0_5 from pygeodesy.interns import _0_0 # PYCHOK used! from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import _NamedBase, _NamedTuple, _Pass, _xnamed from pygeodesy.namedTuples import EasNor2Tuple, UtmUps5Tuple from pygeodesy.props import Property_RO from pygeodesy.streprs import enstr2, Fmt, _xzipairs from pygeodesy.units import Easting, Northing, Str, _100km from pygeodesy.units import _2000km # PYCHOK used! from pygeodesy.utm import toUtm8, _to3zBlat, Utm from pygeodesy.utmupsBase import _hemi from math import log10 __all__ = _ALL_LAZY.mgrs __version__ = '21.07.31' # 100 km grid square column (‘e’) letters repeat every third zone _Le100k = _AtoZnoIO_.tillH, _AtoZnoIO_.fromJ.tillR, _AtoZnoIO_.fromS # grid E colums # 100 km grid square row (‘n’) letters repeat every other zone _Ln100k = _AtoZnoIO_.tillV, _AtoZnoIO_.fromF.tillV + _AtoZnoIO_.tillE # grid N rows class _RE(object): '''(INTERNAL) Lazily compiled regex-es. ''' @Property_RO def MGRS(self): # split an MGRS string "12ABC1235..." into 3 parts import re # PYCHOK warning locale.Error return re.compile('([0-9]{1,2}[C-X]{1})([A-Z]{2})([0-9]+)', re.IGNORECASE) @Property_RO def ZBG(self): # split an MGRS string "12ABC1235..." into 3 parts import re # PYCHOK warning locale.Error return re.compile('([0-9]{1,2}[C-X]{1})([A-Z]{2})', re.IGNORECASE) _RE = _RE() # PYCHOK singleton class MGRSError(_ValueError): '''Military Grid Reference System (MGRS) parse or other L{Mgrs} issue. ''' pass class Mgrs(_NamedBase): '''Military Grid Reference System (MGRS/NATO) references, with method to convert to UTM coordinates. ''' _band = NN # latitudinal band (C..X) _bandLat = None # band latitude (C{degrees90} or C{None}) _datum = _WGS84 # Datum (L{Datum}) _easting = 0 # Easting (C{meter}), within 100 km grid square _en100k = NN # grid EN digraph (C{str}), 100 km grid square _northing = 0 # Northing (C{meter}), within 100 km grid square _resolution = 0 # MGRS cell size (C{meter}) _zone = 0 # longitudinal zone (C{int}), 1..60 def __init__(self, zone, en100k, easting, northing, band=NN, datum=_WGS84, resolution=0, name=NN): '''New L{Mgrs} Military grid reference. @arg zone: 6° longitudinal zone (C{int}), 1..60 covering 180°W..180°E. @arg en100k: Two-letter EN digraph (C{str}), 100 km grid square. @arg easting: Easting (C{meter}), within 100 km grid square. @arg northing: Northing (C{meter}), within 100 km grid square. @kwarg band: Optional 8° latitudinal band (C{str}), C..X covering 80°S..84°N. @kwarg datum: Optional this reference's datum (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). @kwarg resolution: Optional resolution, cell size (C{meter}) or C{0}. @kwarg name: Optional name (C{str}). @raise MGRSError: Invalid MGRS grid reference, B{C{zone}}, B{C{en100k}}, B{C{easting}}, B{C{northing}} or B{C{band}}. @raise TypeError: Invalid B{C{datum}}. @example: >>> from pygeodesy import Mgrs >>> m = Mgrs('31U', 'DQ', 48251, 11932) # 31U DQ 48251 11932 ''' if name: self.name = name self._zone, self._band, self._bandLat = _to3zBlat(zone, band, MGRSError) try: en = str(en100k).upper() if len(en) != 2: raise IndexError # caught below self._en100k = en self._en100k2m() except IndexError: raise MGRSError(en100k=en100k) self._easting = Easting(easting, Error=MGRSError) self._northing = Northing(northing, Error=MGRSError) if datum not in (None, self._datum): self._datum = _ellipsoidal_datum(datum, name=name) if resolution: self.resolution = resolution def _en100k2m(self): # check and convert grid letters to meter z = self._zone - 1 # get easting specified by e100k (note, +1 because # eastings start at 166e3 due to 500 km false origin) e = float(_Le100k[z % 3].index(self._en100k[0]) + 1) * _100km # meter # similarly, get northing specified by n100k n = float(_Ln100k[z % 2].index(self._en100k[1])) * _100km # meter return e, n @Property_RO def band(self): '''Get the latitudinal band (C{str, 'A'|'B'..'Y'|'Z'}). ''' return self._band @Property_RO def bandLatitude(self): '''Get the band latitude (C{degrees90} or C{None}). ''' return self._bandLat @Property_RO def datum(self): '''Get the datum (L{Datum}). ''' return self._datum @Property_RO def en100k(self): '''Get the 2-character grid EN digraph (C{str}). ''' return self._en100k digraph = en100k @Property_RO def easting(self): '''Gets the easting (C{meter}). ''' return self._easting @Property_RO def eastingnorthing(self): '''Get easting and northing (L{EasNor2Tuple}C{(easting, northing)}). ''' return EasNor2Tuple(self.easting, self.northing) @Property_RO def northing(self): '''Get the northing (C{meter}). ''' return self._northing def parse(self, strMGRS, name=NN): '''Parse a string to a similar L{Mgrs} instance. @arg strMGRS: The MGRS reference (C{str}), see function L{parseMGRS}. @kwarg name: Optional instance name (C{str}), overriding this name. @return: The similar instance (L{Mgrs}). @raise MGRSError: Invalid B{C{strMGRS}}. ''' return parseMGRS(strMGRS, datum=self.datum, Mgrs=self.classof, name=name or self.name) @property def resolution(self): '''Get the resolution (C{meter}). ''' return self._resolution @resolution.setter # PYCHOK setter! def resolution(self, resolution): '''Set the resolution of this L{Mgrs} instance. @arg resolution: Cell size C({meter}, power of 10). @raise MGRSError: Invalid B{C{resolution}}. ''' try: if resolution and resolution > 0: r = int(log10(resolution)) if r > 5: raise ValueError r = 10**r else: r = 0 except (ValueError, TypeError): raise MGRSError(resolution=resolution) self._resolution = r def toLatLon(self, LatLon=None, center=True, **toLatLon_kwds): '''Convert this MGRS grid reference to a UTM coordinate. @kwarg LatLon: Optional, ellipsoidal class to return the geodetic point (C{LatLon}) or C{None}. @kwarg center: Optionally, return the grid's center or lower left corner C({bool}). @kwarg toLatLon_kwds: Optional, additional L{Utm.toLatLon} and B{C{LatLon}} keyword arguments. @return: A B{C{LatLon}} instance or if C{B{LatLon} is None} a L{LatLonDatum5Tuple}C{(lat, lon, datum, convergence, scale)}. @raise TypeError: If B{C{LatLon}} is not ellipsoidal. @raise UTMError: Invalid meridional radius or H-value. @see: Methods L{Mgrs.toUtm} and L{Utm.toLatLon}. ''' u = self.toUtm(Utm=Utm, center=center) return u.toLatLon(LatLon=LatLon, **toLatLon_kwds) def toRepr(self, prec=10, fmt=Fmt.SQUARE, sep=_COMMASPACE_): # PYCHOK expected '''Return a string representation of this MGRS grid reference. @kwarg prec: Optional number of digits (C{int}), 4:Km, 10:m. @kwarg fmt: Optional enclosing backets format (C{str}). @kwarg sep: Optional separator between name:values (C{str}). @return: This Mgrs as "[Z:00B, G:EN, E:meter, N:meter]" (C{str}). ''' t = self.toStr(prec=prec, sep=None) return _xzipairs('ZGEN', t, sep=sep, fmt=fmt) def toStr(self, prec=10, sep=_SPACE_): # PYCHOK expected '''Return a string representation of this MGRS grid reference. Note that MGRS grid references are truncated, not rounded (unlike UTM coordinates). @kwarg prec: Optional number of digits (C{int}), 4:Km, 10:m. @kwarg sep: Optional separator to join (C{str}) or C{None} to return an unjoined C{tuple} of C{str}s. @return: This Mgrs as "00B EN easting northing" (C{str}). @raise ValueError: Invalid B{C{prec}}. @example: >>> m = Mgrs(31, 'DQ', 48251, 11932, band='U') >>> m.toStr() # '31U DQ 48251 11932' ''' t = NN(Fmt.zone(self._zone), self._band) t = enstr2(self._easting, self._northing, prec, t, self._en100k) return t if sep is None else sep.join(t) def toUtm(self, Utm=Utm, center=False): '''Convert this MGRS grid reference to a UTM coordinate. @kwarg Utm: Optional class to return the UTM coordinate (L{Utm}) or C{None}. @kwarg center: Optionally, center easting and northing by the resolution C({bool}). @return: A B{C{Utm}} instance or if C{B{Utm} is None} a L{UtmUps5Tuple}C{(zone, hemipole, easting, northing, band)}. ''' r, u = self._utmups5utm2 if center: c = self.resolution * _0_5 if c: e = r.easting + c n = r.northing + c r = UtmUps5Tuple(r.zone, r.hemipole, e, n, r.band, Error=MGRSError, name=r.name) else: c = 0 if Utm is None: u = r elif c or Utm is not u.__class__: u = Utm(r.zone, r.hemipole, r.easting, r.northing, band=r.band, datum=self.datum, name=r.name) return u @Property_RO def _utmups5utm2(self): '''(INTERNAL) Cache for L{toUtm}. ''' # get northing of the band bottom, extended to # include entirety of bottom-most 100 km square n = toUtm8(self.bandLatitude, _0_0, datum=self.datum).northing nb = int(n / _100km) * _100km e, n = self._en100k2m() # 100 km grid square row letters repeat every 2,000 km north; # add enough 2,000 km blocks to get into required band e += self.easting n += self.northing while n < nb: n += _2000km z = self.zone h = _hemi(self.bandLatitude) # if self.band < _N_ B = self.band d = self.datum s = self.name return (UtmUps5Tuple(z, h, e, n, B, Error=MGRSError, name=s), Utm( z, h, e, n, band=B, datum=d, name=s)) @Property_RO def zone(self): '''Get the longitudal zone (C{int}, 1..60). ''' return self._zone class Mgrs4Tuple(_NamedTuple): '''4-Tuple C{(zone, digraph, easting, northing)}, C{zone} and C{digraph} as C{str}, C{easting} and C{northing} in C{meter}. ''' _Names_ = (_zone_, 'digraph', _easting_, _northing_) _Units_ = ( Str, Str, Easting, Northing) def __new__(cls, z, di, e, n, Error=MGRSError): if Error is not None: e = Easting( e, Error=Error) n = Northing(n, Error=Error) return _NamedTuple.__new__(cls, z, di, e, n) def to6Tuple(self, band, datum): '''Extend this L{Mgrs4Tuple} to a L{Mgrs6Tuple}. @arg band: The band to add (C{str} or C{None}). @arg datum: The datum to add (L{Datum} or C{None}). @return: An L{Mgrs6Tuple}C{(zone, digraph, easting, northing, band, datum)}. ''' return self._xtend(Mgrs6Tuple, band, datum) class Mgrs6Tuple(_NamedTuple): # XXX only used in the line above '''6-Tuple C{(zone, digraph, easting, northing, band, datum)}, C{zone}, C{digraph} and C{band} as C{str}, C{easting} and C{northing} in C{meter} and C{datum} a L{Datum}. ''' _Names_ = Mgrs4Tuple._Names_ + (_band_, _datum_) _Units_ = Mgrs4Tuple._Units_ + ( Str, _Pass) def parseMGRS(strMGRS, datum=_WGS84, Mgrs=Mgrs, name=NN): '''Parse a string representing a MGRS grid reference, consisting of C{"zoneBand, grid, easting, northing"}. @arg strMGRS: MGRS grid reference (C{str}). @kwarg datum: Optional datum to use (L{Datum}). @kwarg Mgrs: Optional class to return the MGRS grid reference (L{Mgrs}) or C{None}. @kwarg name: Optional B{C{Mgrs}} name (C{str}). @return: The MGRS grid reference as B{C{Mgrs}} or if C{B{Mgrs} is None} as an L{Mgrs4Tuple}C{(zone, digraph, easting, northing)}. @raise MGRSError: Invalid B{C{strMGRS}}. @example: >>> m = parseMGRS('31U DQ 48251 11932') >>> str(m) # 31U DQ 48251 11932 >>> m = parseMGRS('31UDQ4825111932') >>> repr(m) # [Z:31U, G:DQ, E:48251, N:11932] >>> m = mgrs.parseMGRS('42SXD0970538646') >>> str(m) # 42S XD 09705 38646 >>> m = mgrs.parseMGRS('42SXD9738') # Km >>> str(m) # 42S XD 97000 38000 ''' def _mg(RE, s): # return re.match groups m = RE.match(s) if not m: raise ValueError return m.groups() def _s2m(g): # e or n string to float meter # convert to meter if less than 5 digits m = g + '00000' return float(m[:5]) def _MGRS_(strMGRS, datum, Mgrs, name): m = tuple(strMGRS.replace(',', ' ').strip().split()) if len(m) == 1: # 01ABC1234512345' m = _mg(_RE.MGRS, m[0]) m = m[:2] + halfs2(m[2]) elif len(m) == 2: # 01ABC 1234512345' m = _mg(_RE.ZBG, m[0]) + halfs2(m[1]) elif len(m) == 3: # 01ABC 12345 12345' m = _mg(_RE.ZBG, m[0]) + m[1:] if len(m) != 4: # 01A BC 1234 12345 raise ValueError e, n = map(_s2m, m[2:]) z, EN = m[0], m[1].upper() if Mgrs is None: r = Mgrs4Tuple(z, EN, e, n, name=name) else: p = max(map(len, m[2:])) # precision 1..5 m = 10**(5 - p) # resolution in meter r = Mgrs(z, EN, e, n, datum=datum, resolution=m, name=name) return r return _parseX(_MGRS_, strMGRS, datum, Mgrs, name, strMGRS=strMGRS, Error=MGRSError) def toMgrs(utm, Mgrs=Mgrs, name=NN, **Mgrs_kwds): '''Convert a UTM coordinate to an MGRS grid reference. @arg utm: A UTM coordinate (L{Utm} or L{Etm}). @kwarg Mgrs: Optional class to return the MGRS grid reference (L{Mgrs}) or C{None}. @kwarg name: Optional B{C{Mgrs}} name (C{str}). @kwarg Mgrs_kwds: Optional, additional B{C{Mgrs}} keyword arguments, ignored if C{B{Mgrs} is None}. @return: The MGRS grid reference as B{C{Mgrs}} or if C{B{Mgrs} is None} as an L{Mgrs6Tuple}C{(zone, digraph, easting, northing, band, datum)}. @raise TypeError: If B{C{utm}} is not L{Utm} nor L{Etm}. @raise MGRSError: Invalid B{C{utm}}. @example: >>> u = Utm(31, 'N', 448251, 5411932) >>> m = u.toMgrs() # 31U DQ 48251 11932 ''' _xinstanceof(Utm, utm=utm) # Utm, Etm e, n = utm.eastingnorthing2(falsed=True) # truncate east-/northing to within 100 km grid square # XXX add rounding to nm precision? E, e = divmod(e, _100km) N, n = divmod(n, _100km) # columns in zone 1 are A-H, zone 2 J-R, zone 3 S-Z, then # repeating every 3rd zone (note -1 because eastings start # at 166e3 due to 500km false origin) z = utm.zone - 1 en = (_Le100k[z % 3][int(E) - 1] + # rows in even zones are A-V, in odd zones are F-E _Ln100k[z % 2][int(N) % len(_Ln100k[0])]) if Mgrs is None: r = Mgrs4Tuple(utm.zone, en, e, n).to6Tuple(utm.band, utm.datum) else: kwds = _xkwds(Mgrs_kwds, band=utm.band, datum=utm.datum) r = Mgrs(utm.zone, en, e, n, **kwds) return _xnamed(r, name or utm.name) # **) MIT License # # Copyright (C) 2016-2021 -- 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.