# Coverage for pygeodesy/mgrs.py : 99%

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Classes L{Mgrs}, L{Mgrs4Tuple} and L{Mgrs6Tuple} and functions L{parseMGRS} and L{toMgrs}. Pure Python implementation of MGRS, UTM and UPS conversions covering the entire I{ellipsoidal} earth, transcoded from I{Chris Veness}' JavaScript originals 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>} and from I{Charles Karney}'s C++ class U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/ classGeographicLib_1_1MGRS.html>}. MGRS references comprise a grid zone designation (GZD), a 100 km grid (square) tile identification and an easting and northing (in C{meter}). The GZD consists of a longitudinal zone (or column) I{number} and latitudinal band (row) I{letter} in the UTM region between 80°S and 84°N. Each zone (column) is 6° wide and each band (row) is 8° high, except top band 'X' is 12° tall. In UPS polar regions below 80°S and above 84°N the GZD contains only a single I{letter}, C{'A'} or C{'B'} near the south and C{'Y'} or C{'Z'} around the north pole (for west respectively east longitudes). See also the 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>}. See module L{pygeodesy.ups} for env variable C{PYGEODESY_UPS_POLES} determining the UPS encoding I{at} the south and north pole. Set env variable C{PYGEODESY_GEOCONVERT} to the (fully qualified) path of the C{GeoConvert} executable to run this module as I{python[3] -m pygeodesy.mgrs} and compare the MGRS results with those from I{Karney}'s utility U{GeoConvert <https://GeographicLib.sourceforge.io/C++/doc/GeoConvert.1.html>}. ''' from pygeodesy.basics import halfs2, _xinstanceof from pygeodesy.datums import _ellipsoidal_datum, _WGS84 from pygeodesy.errors import _AssertionError, MGRSError, _parseX, \ _ValueError, _xkwds from pygeodesy.interns import NN, _A_, _AtoZnoIO_, _band_, _B_, _COMMASPACE_, \ _datum_, _easting_, _invalid_, _northing_, _not_, \ _SPACE_, _splituple, _W_, _Y_, _Z_, _zone_, _0_, _0_5 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS from pygeodesy.named import _NamedBase, _NamedTuple, _Pass, _xnamed from pygeodesy.namedTuples import EasNor2Tuple, UtmUps5Tuple from pygeodesy.props import deprecated_property_RO, property_RO, Property_RO from pygeodesy.streprs import enstr2, _enstr2m3, Fmt, _resolution10, _xzipairs from pygeodesy.units import Easting, Northing, Str, _100km from pygeodesy.units import _1um, _2000km # PYCHOK used! from pygeodesy.ups import _hemi, toUps8, Ups, _UPS_ZONE from pygeodesy.utm import toUtm8, _to3zBlat, Utm, _UTM_ZONE_MAX, _UTM_ZONE_MIN # from pygeodesy.utmupsBase import _UTM_ZONE_MAX, _UTM_ZONE_MIN # from .utm __all__ = _ALL_LAZY.mgrs __version__ = '22.08.10' _AN_ = 'AN' # default south pole grid tile and band B _AtoPx_ = _AtoZnoIO_.tillP # <https://GitHub.com/hrbrmstr/mgrs/blob/master/src/mgrs.c> _FeUPS = {_A_: 8, _B_: 20, _Y_: 8, _Z_: 20} # falsed offsets (C{_100kms}) _FnUPS = {_A_: 8, _B_: 8, _Y_: 13, _Z_: 13} # falsed offsets (C{_100kms}) _JtoZx_ = 'JKLPQRSTUXYZZ' # _AtoZnoDEIMNOVW.fromJ, duplicate Z # 100 km grid tile UTM column (E) letters, repeating every third zone _LeUTM = _AtoZnoIO_.tillH, _AtoZnoIO_.fromJ.tillR, _AtoZnoIO_.fromS # grid E colums # 100 km grid tile UPS column (E) letters for each polar zone _LeUPS = {_A_: _JtoZx_, _B_: 'ABCFGHJKLPQR', _Y_: _JtoZx_, _Z_: 'ABCFGHJ'} # 100 km grid tile UTM and UPS row (N) letters, repeating every other zone _LnUTM = _AtoZnoIO_.tillV, _AtoZnoIO_.fromF.tillV + _AtoZnoIO_.tillE # grid N rows _LnUPS = {_A_: _AtoZnoIO_, _B_: _AtoZnoIO_, _Y_: _AtoPx_, _Z_: _AtoPx_} _polar_ = _SPACE_('polar', _zone_) class Mgrs(_NamedBase): '''Military Grid Reference System (MGRS/NATO) references, with method to convert to UTM coordinates. ''' _band = NN # latitudinal (C..X) or polar (ABYZ) band _bandLat = None # band latitude (C{degrees90} or C{None}) _datum = _WGS84 # Datum (L{Datum}) _easting = 0 # Easting (C{meter}), within 100 km grid tile _EN = NN # EN digraph (C{str}), 100 km grid tile _northing = 0 # Northing (C{meter}), within 100 km grid tile _resolution = 0 # from L{parseMGRS}, centering (C{meter}) _zone = 0 # longitudinal or polar zone (C{int}), 0..60 def __init__(self, zone=0, EN=NN, easting=0, northing=0, band=NN, datum=_WGS84, resolution=0, name=NN): '''New L{Mgrs} Military grid reference. @arg zone: The 6° I{longitudinal} zone (C{int}), 1..60 covering 180°W..180°E or C{0} for I{polar} regions or (C{str}) with the zone number and I{latitudinal} band letter. @arg EN: Two-letter EN digraph (C{str}), grid tile I{using only} the I{AA} aka I{MGRS-New} (row) U{lettering scheme <http://Wikipedia.org/wiki/Military_Grid_Reference_System>}. @kwarg easting: Easting (C{meter}), within 100 km grid tile. @kwarg northing: Northing (C{meter}), within 100 km grid tile. @kwarg band: Optional, I{latitudinal} band or I{polar} region letter (C{str}), 'C'|..|'X' covering 80°S..84°N (no 'I'|'O'), 'A'|'B' at the south or 'Y'|'Z' at the north pole. @kwarg datum: This reference's datum (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). @kwarg resolution: Optional resolution (C{meter}), C{0} for default. @kwarg name: Optional name (C{str}). @raise MGRSError: Invalid B{C{zone}}, B{C{EN}}, B{C{easting}}, B{C{northing}}, B{C{band}} or B{C{resolution}}. @raise TypeError: Invalid B{C{datum}}. @example: >>> from pygeodesy import Mgrs >>> m = Mgrs('31U', 'DQ', 48251, 11932) # 31U DQ 48251 11932 >>> m = Mgrs() # defaults to south pole >>> m.toLatLon() # ... lat=-90.0, lon=0.0, datum=... ''' if name: self.name = name if not (zone or EN or band): EN, band = _AN_, _B_ # default, south pole try: self._zone, self._band, self._bandLat = _to3zBlat(zone, band, Error=MGRSError) en = str(EN) if len(en) != 2 or not en.isalpha(): raise ValueError # caught below self._EN = en.upper() _ = self._EN2m # check E and N except (IndexError, KeyError, TypeError, ValueError): raise MGRSError(band=band, EN=EN, zone=zone) self._easting = Easting(easting, Error=MGRSError) self._northing = Northing(northing, Error=MGRSError) if datum not in (None, Mgrs._datum): self._datum = _ellipsoidal_datum(datum, name=name) # XXX raiser=_datum_ if resolution: self.resolution = resolution def __str__(self): return self.toStr(sep=_SPACE_) # for backward compatibility @property_RO def band(self): '''Get the I{latitudinal} band C{'C'|..|'X'} (no C{'I'|'O'}) or I{polar} region C{'A'|'B'|'Y'|'Z'}) letter (C{str}). ''' return self._band @Property_RO def bandLatitude(self): '''Get the band latitude (C{degrees90}). ''' return self._bandLat @Property_RO def datum(self): '''Get the datum (L{Datum}). ''' return self._datum @deprecated_property_RO def digraph(self): '''DEPRECATED, use property C{EN}.''' return self.EN @property_RO def EN(self): '''Get the 2-letter grid tile (C{str}). ''' return self._EN @deprecated_property_RO def en100k(self): '''DEPRECATED, use property C{EN}.''' return self.EN @Property_RO def _EN2m(self): '''(INTERNAL) Get the grid 2-tuple (easting, northing) in C{meter}. @note: Raises AssertionError, IndexError or KeyError: Invalid C{zone} number, C{EN} letter or I{polar} region letter. ''' EN = self.EN if self.isUTM: i = self.zone - 1 # get easting from the E column (note, +1 because # easting starts at 166e3 due to 500 km falsing) e = _LeUTM[i % 3].index(EN[0]) + 1 # similarly, get northing from the N row n = _LnUTM[i % 2].index(EN[1]) elif self.isUPS: B = self.band e = _LeUPS[B].index(EN[0]) + _FeUPS[B] n = _LnUPS[B].index(EN[1]) + _FnUPS[B] else: raise _AssertionError(zone=self.zone) return float(e * _100km), float(n * _100km) # meter @property_RO def easting(self): '''Get the easting (C{meter} within grid tile). ''' return self._easting @Property_RO def eastingnorthing(self): '''Get easting and northing (L{EasNor2Tuple}C{(easting, northing)}) I{within} the MGRS grid tile, both in C{meter}. ''' return EasNor2Tuple(self.easting, self.northing) @Property_RO def isUPS(self): '''Is this MGRS in a (polar) UPS zone (C{bool}). ''' return self._zone == _UPS_ZONE @Property_RO def isUTM(self): '''Is this MGRS in a (non-polar) UTM zone (C{bool}). ''' return _UTM_ZONE_MIN <= self._zone <= _UTM_ZONE_MAX @property_RO def northing(self): '''Get the northing (C{meter} within grid tile). ''' return self._northing @Property_RO def northingBottom(self): '''Get the northing of the band bottom (C{meter}). ''' a = self.bandLatitude u = toUtm8(a, 0, datum=self.datum, Utm=None) if self.isUTM else \ toUps8(a, 0, datum=self.datum, Ups=None) return int(u.northing / _100km) * _100km 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 MGRS resolution (C{meter}, power of 10) or C{0} if undefined. ''' return self._resolution @resolution.setter # PYCHOK setter! def resolution(self, resolution): '''Set the MGRS resolution (C{meter}, power of 10) or C{0} to undefine and disable UPS/UTM centering. @raise MGRSError: Invalid B{C{resolution}}, over C{1.e+5} or under C{1.e-6}. ''' if resolution: # and resolution > 0 r = _resolution10(resolution, Error=MGRSError) else: r = 0 if self._resolution != r: self._resolution = r @Property_RO def tilesize(self): '''Get the MGRS grid tile size (C{meter}). ''' assert _MODS.utmups._MGRS_TILE is _100km return _100km 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.toUtmUps(center=center) return u.toLatLon(LatLon=LatLon, **toLatLon_kwds) def toRepr(self, fmt=Fmt.SQUARE, sep=_COMMASPACE_, **prec): # PYCHOK expected '''Return a string representation of this MGRS grid reference. @kwarg fmt: Enclosing backets format (C{str}). @kwarg sep: Separator between name:values (C{str}). @kwarg prec: Precision (C{int}), see method L{Mgrs.toStr}. @return: This Mgrs as "[Z:[dd]B, G:EN, E:easting, N:northing]" (C{str}), with C{B{sep} ", "}. @note: MGRS grid references are truncated, not rounded (unlike UTM/UPS coordinates). @raise ValueError: Invalid B{C{prec}}. ''' t = self.toStr(sep=None, **prec) return _xzipairs('ZGEN', t, sep=sep, fmt=fmt) def toStr(self, prec=0, sep=NN): # PYCHOK expected '''Return this MGRS grid reference as a string. @kwarg prec: Precision, the number of I{decimal} digits (C{int}) or if negative, the number of I{units to drop}, like MGRS U{PRECISION <https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html#PRECISION>}. @kwarg sep: Optional separator to join (C{str}) or C{None} to return an unjoined 3-C{tuple} of C{str}s. @return: This Mgrs as 4-tuple C{("dd]B", "EN", "easting", "northing")} if C{B{sep}=NN} or "[dd]B EN easting northing" (C{str}) with C{B{sep} " "}. @note: Both C{easting} and C{northing} strings are C{NN} or missing if C{B{prec} <= -5}. @note: MGRS grid references are truncated, not rounded (unlike UTM/UPS). @raise ValueError: Invalid B{C{prec}}. @example: >>> from pygeodesy import Mgrs, NN, parseMGRS >>> m = Mgrs(31, 'DQ', 48251, 11932, band='U') >>> m.toStr() # '31U DQ 48251 11932' >>> m = parseMGRS('BAN1234567890') >>> str(m) # 'B AN 12345 67890' >>> m.toStr() # 'BAN1234567890' >>> m.toStr(prec=-2) # 'BAN123678' ''' zB = self.zoneB t = enstr2(self._easting, self._northing, prec, zB, self.EN) return t if sep is None else sep.join(t).rstrip() def toUps(self, Ups=Ups, center=False): '''Convert this MGRS grid reference to a UPS coordinate. @kwarg Ups: Optional class to return the UPS coordinate (L{Ups}) or C{None}. @kwarg center: Optionally, center easting and northing by the resolution (C{bool}). @return: A B{C{Ups}} instance or if C{B{Ups} is None} a L{UtmUps5Tuple}C{(zone, hemipole, easting, northing, band)}. @raise MGRSError: This MGRS is a I{non-polar} UTM reference. ''' if self.isUTM: raise MGRSError(zoneB=self.zoneB, txt=_not_(_polar_)) return self._toUtmUps(Ups, center) 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)}. @raise MGRSError: This MGRS is a I{polar} UPS reference. ''' if self.isUPS: raise MGRSError(zoneB=self.zoneB, txt=_polar_) return self._toUtmUps(Utm, center) def toUtmUps(self, Utm=Utm, Ups=Ups, center=False): '''Convert this MGRS grid reference to a UTM or UPS coordinate. @kwarg Utm: Optional class to return the UTM coordinate (L{Utm}) or C{None}. @kwarg Ups: Optional class to return the UPS coordinate (L{Utm}) or C{None}. @kwarg center: Optionally, center easting and northing by the resolution (C{bool}). @return: A B{C{Utm}} or B{C{Ups}} instance or if C{B{Utm} or B{Ups} is None} a L{UtmUps5Tuple}C{(zone, hemipole, easting, northing, band)}. ''' return self._toUtmUps((Utm if self.isUTM else (Ups if self.isUPS else None)), center) def _toUtmUps(self, U, center): '''(INTERNAL) Helper for C{.toUps} and C{.toUtm}. ''' e, n = self._EN2m e += self.easting n += self.northing if self.isUTM: # 100 km row letters repeat every 2,000 km north; # add 2,000 km blocks to get into required band b = (self.northingBottom - n) / _2000km if b > 0: b = int(b) + 1 b = min(b, (3 if self.band == _W_ else 4)) n += b * _2000km if center: c = self.resolution if c: c *= _0_5 e += c n += c z = self.zone h = _hemi(self.bandLatitude) # _S_ if self.band < _N_ else _N_ B = self.band m = self.name return UtmUps5Tuple(z, h, e, n, B, name=m, Error=MGRSError) if U is None \ else U(z, h, e, n, B, name=m, datum=self.datum) @property_RO def zone(self): '''Get the I{longitudinal} zone (C{int}), 1..60 or 0 for I{polar}. ''' return self._zone @Property_RO def zoneB(self): '''Get the I{polar} region letter or the I{longitudinal} zone digits plus I{latitudinal} band letter (C{str}). ''' return self.band if self.isUPS else NN(Fmt.zone(self.zone), self.band) class Mgrs4Tuple(_NamedTuple): '''4-Tuple C{(zone, EN, easting, northing)}, C{zone} and grid tile C{EN} as C{str}, C{easting} and C{northing} in C{meter}. @note: The C{zone} consists of either the I{longitudinal} zone number plus the I{latitudinal} band letter or only the I{polar} region letter. ''' _Names_ = (_zone_, 'EN', _easting_, _northing_) _Units_ = ( Str, Str, Easting, Northing) @deprecated_property_RO def digraph(self): '''DEPRECATED, use attribute C{EN}.''' return self.EN # PYCHOK or [1] def toMgrs(self, **Mgrs_and_kwds): '''Return this L{Mgrs4Tuple} as an L{Mgrs} instance. ''' return self.to6Tuple(NN, _WGS84).toMgrs(**Mgrs_and_kwds) def to6Tuple(self, band=NN, datum=_WGS84): '''Extend this L{Mgrs4Tuple} to a L{Mgrs6Tuple}. @kwarg band: The band (C{str}). @kwarg datum: The datum (L{Datum}). @return: An L{Mgrs6Tuple}C{(zone, EN, easting, northing, band, datum)}. ''' z = self.zone # PYCHOK or [0] B = z[-1:] if B.isalpha(): z = z[:-1] or Fmt.zone(0) t = Mgrs6Tuple(z, self.EN, self.easting, self.northing, # PYCHOK attrs band or B, datum, name=self.name) else: t = self._xtend(Mgrs6Tuple, band, datum) return t class Mgrs6Tuple(_NamedTuple): # XXX only used above '''6-Tuple C{(zone, EN, easting, northing, band, datum)}, with C{zone}, grid tile C{EN} and C{band} as C{str}, C{easting} and C{northing} in C{meter} and C{datum} a L{Datum}. @note: The C{zone} is the I{longitudinal} zone C{"01".."60"} or C{"00"} for I{polar} regions and C{band} is the I{latitudinal} band or I{polar} region letter. ''' _Names_ = Mgrs4Tuple._Names_ + (_band_, _datum_) _Units_ = Mgrs4Tuple._Units_ + ( Str, _Pass) @deprecated_property_RO def digraph(self): '''DEPRECATED, use attribute C{EN}.''' return self.EN # PYCHOK or [1] def toMgrs(self, Mgrs=Mgrs, **Mgrs_kwds): '''Return this L{Mgrs6Tuple} as an L{Mgrs} instance. ''' kwds = dict(self.items()) if self.name: kwds.update(name=self.name) if Mgrs_kwds: kwds.update(Mgrs_kwds) return Mgrs(**kwds) class _RE(object): '''(INTERNAL) Lazily compiled C{re}gex-es to parse MGRS strings. ''' _EN = '([A-Z]{2})' # 2-letter grid tile designation _en = '([0-9]+)' # easting_northing digits, 2-10+ _pB = '([ABYZ]{1})' # polar region letter, pseudo-zone 0 _zB = '([0-9]{1,2}[C-X]{1})' # zone number and band letter, no I|O @Property_RO def pB_EN(self): # split polar "BEN" into 2 parts import re # PYCHOK warning locale.Error return re.compile(_RE._pB + _RE._EN, re.IGNORECASE) @Property_RO def pB_EN_en(self): # split polar "BEN1235..." into 3 parts import re # PYCHOK warning locale.Error return re.compile(_RE._pB + _RE._EN + _RE._en, re.IGNORECASE) @Property_RO def zB_EN(self): # split "1[2]BEN" into 2 parts import re # PYCHOK warning locale.Error return re.compile(_RE._zB + _RE._EN, re.IGNORECASE) @Property_RO def zB_EN_en(self): # split "1[2]BEN1235..." into 3 parts import re # PYCHOK warning locale.Error return re.compile(_RE._zB + _RE._EN + _RE._en, re.IGNORECASE) _RE = _RE() # PYCHOK singleton def parseMGRS(strMGRS, datum=_WGS84, Mgrs=Mgrs, name=NN): '''Parse a string representing a MGRS grid reference, consisting of C{"[zone]Band, EN, 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, EN, 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 = parseMGRS('42SXD0970538646') >>> str(m) # '42S XD 09705 38646' >>> m = parseMGRS('42SXD9738') # Km >>> str(m) # '42S XD 97000 38000' >>> m = parseMGRS('YUB17770380') # polar >>> str(m) # 'Y UB 17770 03800' ''' def _mg(s, re_UTM, re_UPS): # return re.match groups m = re_UTM.match(s) if m: return m.groups() m = re_UPS.match(s.lstrip(_0_)) if m: return m.groups() # m = m.groups() # t = '00' + m[0] # return (t,) + m[1:] raise ValueError(_SPACE_(repr(s), _invalid_)) def _MGRS(strMGRS, datum, Mgrs, name): m = _splituple(strMGRS.strip()) if len(m) == 1: # [01]BEN1234512345' m = _mg(m[0], _RE.zB_EN_en, _RE.pB_EN_en) m = m[:2] + halfs2(m[2]) elif len(m) == 2: # [01]BEN 1234512345' m = _mg(m[0], _RE.zB_EN, _RE.pB_EN) + halfs2(m[1]) elif len(m) == 3: # [01]BEN 12345 12345' m = _mg(m[0], _RE.zB_EN, _RE.pB_EN) + m[1:] if len(m) != 4: # [01]B EN 12345 12345 raise ValueError zB, EN = m[0].upper(), m[1].upper() if zB[-1:] in 'IO': raise ValueError(_SPACE_(repr(m[0]), _invalid_)) e, n, m = _enstr2m3(*m[2:]) if Mgrs is None: r = Mgrs4Tuple(zB, EN, e, n, name=name) _ = r.toMgrs(resolution=m) # validate else: r = Mgrs(zB, EN, e, n, datum=datum, resolution=m, name=name) return r return _parseX(_MGRS, strMGRS, datum, Mgrs, name, strMGRS=strMGRS, Error=MGRSError) def toMgrs(utmups, Mgrs=Mgrs, name=NN, **Mgrs_kwds): '''Convert a UTM or UPS coordinate to an MGRS grid reference. @arg utmups: A UTM or UPS coordinate (L{Utm}, L{Etm} or L{Ups}). @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, EN, easting, northing, band, datum)}. @raise MGRSError: Invalid B{C{utmups}}. @raise TypeError: If B{C{utmups}} is not L{Utm} nor L{Etm} nor L{Ups}. @example: >>> u = Utm(31, 'N', 448251, 5411932) >>> m = u.toMgrs() # 31U DQ 48251 11932 ''' # _MODS.utmups.utmupsValidate(utmups, MGRS=True, Error-MGRSError) _xinstanceof(Utm, Ups, utmups=utmups) # Utm, Etm, Ups try: e, n = utmups.eastingnorthing2(falsed=True) E, e = _um100km2(e) N, n = _um100km2(n) B, z = utmups.band, utmups.zone if _UTM_ZONE_MIN <= z <= _UTM_ZONE_MAX: i = z - 1 # columns in zone 1 are A-H, zone 2 J-R, zone 3 S-Z, # then repeating every 3rd zone (note E-1 because # eastings start at 166e3 due to 500km false origin) EN = _LeUTM[i % 3][E - 1] # rows in even zones are A-V, in odd zones are F-E EN += _LnUTM[i % 2][N % len(_LnUTM[0])] elif z == _UPS_ZONE: EN = _LeUPS[B][E - _FeUPS[B]] EN += _LnUPS[B][N - _FnUPS[B]] else: raise _ValueError(zone=z) except (IndexError, TypeError, ValueError) as x: raise MGRSError(B=B, E=E, N=N, utmups=utmups, txt=str(x)) if Mgrs is None: r = Mgrs4Tuple(Fmt.zone(z), EN, e, n).to6Tuple(B, utmups.datum) else: kwds = _xkwds(Mgrs_kwds, band=B, datum=utmups.datum) r = Mgrs(z, EN, e, n, **kwds) return _xnamed(r, name or utmups.name) def _um100km2(m): '''(INTERNAL) An MGRS east-/northing truncated to micrometer (um) precision and to grid tile C{M} and C{m}eter within the tile. ''' m = int(m / _1um) * _1um # micrometer M, m = divmod(m, _100km) return int(M), m if __name__ == '__main__': from pygeodesy.ellipsoidalVincenty import LatLon from pygeodesy.lazily import _getenv, printf from os import access as _access, linesep as _NL, X_OK as _X_OK # <https://GeographicLib.sourceforge.io/C++/doc/GeoConvert.1.html> _GeoConvert = _getenv('PYGEODESY_GEOCONVERT', '/opt/local/bin/GeoConvert') if _access(_GeoConvert, _X_OK): GC_m = _GeoConvert, '-m' # -m converts latlon to MGRS printf(' using: %s ...', _SPACE_.join(GC_m)) from pygeodesy.solveBase import _popen2 else: GC_m = _popen2 = None e = n = 0 try: for lat in range(-90, 91, 1): printf('%6s: lat %s ...', n, lat, end=NN, flush=True) nl = _NL for lon in range(-180, 181, 1): m = LatLon(lat, lon).toMgrs() if _popen2: t = '%s %s' % (lat, lon) g = _popen2(GC_m, stdin=t)[1] t = m.toStr() # sep=NN if t != g: e += 1 printf('%s%6s: %s: %r vs %r (lon %s)', nl, -e, m, t, g, lon) nl = NN t = m.toLatLon(LatLon=LatLon) d = max(abs(t.lat - lat), abs(t.lon - lon)) if d > 1e-9 and -90 < lat < 90 and -180 < lon < 180: e += 1 printf('%s%6s: %s: %s vs %s %.6e', nl, -e, m, t.latlon, (float(lat), float(lon)), d) nl = NN n += 1 if nl: print(' OK') except KeyboardInterrupt: printf(nl) p = e * 100.0 / n printf('%6s: %s errors (%.2f%%)', n, (e if e else 'no'), p) # **) 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.