# Coverage for pygeodesy/webmercator.py : 93%

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 | # -*- coding: utf-8 -*- u'''Web Mercator (WM) classes L{Wm} and L{WebMercatorError} and functions L{parseWM} and L{toWm}. Pure Python implementation of a U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (aka I{Pseudo-Mercator}) class and conversion functions for spherical and near-spherical earth models. References U{Google Maps / Bing Maps Spherical Mercator Projection <https://AlastairA.WordPress.com/2011/01/23/the-google-maps-bing-maps-spherical-mercator-projection>}, U{Geomatics Guidance Note 7, part 2<https://www.EPSG.org/Portals/0/373-07-02.pdf>} and U{Implementation Practice Web Mercator Map Projection <https://Earth-Info.NGA.mil/GandG/wgs84/web_mercator/%28U%29%20NGA_SIG_0011_1.0.0_WEBMERC.pdf>}. @newfield example: Example, Examples ''' from pygeodesy.datum import R_MA from pygeodesy.dms import clipDMS, parseDMS2 from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB from pygeodesy.fmath import EPS, fStr, isscalar, map1, _IsNotError from pygeodesy.lazily import _ALL_LAZY from pygeodesy.named import EasNorRadius3Tuple, LatLon2Tuple, \ _NamedBase, nameof, _xnamed from pygeodesy.utily import PI_2, degrees90, degrees180, issubclassof, \ property_RO from math import atan, atanh, exp, radians, sin, tanh # all public contants, classes and functions __all__ = _ALL_LAZY.webmercator __version__ = '20.01.22' # _FalseEasting = 0 #: (INTERNAL) False Easting (C{meter}). # _FalseNorthing = 0 #: (INTERNAL) False Northing (C{meter}). _LatLimit = 85.051129 #: (INTERNAL) Latitudinal limit (C{degrees}). # _LonOrigin = 0 #: (INTERNAL) Longitude of natural origin (C{degrees}). class WebMercatorError(ValueError): '''Web Mercator (WM) parse or L{Wm} issue. ''' pass class Wm(_NamedBase): '''Web Mercator (WM) coordinate. ''' _radius = 0 #: (INTERNAL) earth radius (C{meter}). _x = 0 #: (INTERNAL) easting (C{meter}). _y = 0 #: (INTERNAL) northing (C{meter}). def __init__(self, x, y, radius=R_MA, name=''): '''New L{Wm} Web Mercator (WM) coordinate. @param x: Easting from central meridian (C{meter}). @param y: Northing from equator (C{meter}). @keyword radius: Optional earth radius (C{meter}). @keyword name: Optional name (C{str}). @raise WebMercatorError: Invalid B{C{x}}, B{C{y}} or B{C{radius}}. @example: >>> import pygeodesy >>> w = pygeodesy.Wm(448251, 5411932) ''' if name: self.name = name try: self._x, self._y, r = map1(float, x, y, radius) except (TypeError, ValueError): raise WebMercatorError('%s invalid: %r' % (Wm.__name__, (x, y, radius))) if r < EPS: # check radius t = '%s.%s' % (self.classname, 'radius') raise WebMercatorError('%s invalid: %r' % (t, r)) self._radius = r def parseWM(self, strWM, name=''): '''Parse a string to a WM coordinate. For more details, see function L{parseWM} in this module L{webmercator}. ''' return parseWM(strWM, radius=self.radius, Wm=self.classof, name=name) @property_RO def radius(self): '''Get the earth radius (C{meter}). ''' return self._radius def to2ll(self, datum=None): '''Convert this WM coordinate to a geodetic lat- and longitude. @keyword datum: Optional datum (C{Datum}). @return: A L{LatLon2Tuple}C{(lat, lon)}. @raise TypeError: Non-ellipsoidal B{C{datum}}. ''' r = self.radius x = self._x / r y = 2 * atan(exp(self._y / r)) - PI_2 if datum: E = datum.ellipsoid if not E.isEllipsoidal: raise _IsNotError('ellipsoidal', datum=datum) # <https://Earth-Info.NGA.mil/GandG/wgs84/web_mercator/ # %28U%29%20NGA_SIG_0011_1.0.0_WEBMERC.pdf> y = y / r if E.e: y -= E.e * atanh(E.e * tanh(y)) y *= E.a x *= E.a / r return self._xnamed(LatLon2Tuple(degrees90(y), degrees180(x))) def toLatLon(self, LatLon, datum=None): '''Convert this WM coordinate to a geodetic point. @param LatLon: Ellipsoidal (sub-)class to return the point (C{LatLon}). @keyword datum: Optional datum for ellipsoidal or C{None} for spherical B{C{LatLon}} (C{Datum}). @return: Point of this WM coordinate (B{C{LatLon}}). @raise TypeError: If B{C{LatLon}} and B{C{datum}} are incompatible or if B{C{datum}} is not ellipsoidal. @example: >>> w = Wm(448251.795, 5411932.678) >>> from pygeodesy import sphericalTrigonometry as sT >>> ll = w.toLatLon(sT.LatLon) # 43°39′11.58″N, 004°01′36.17″E ''' e = issubclassof(LatLon, _LLEB) if e and datum: r = LatLon(*self.to2ll(datum=datum), datum=datum) elif LatLon and not (e or datum): r = LatLon(*self.to2ll(datum=None)) else: raise TypeError('%s %r and %s %r' % ('spherical', LatLon, 'datum', datum)) return self._xnamed(r) def toStr(self, prec=3, sep=' ', radius=False): # PYCHOK expected '''Return a string representation of this WM coordinate. @keyword prec: Optional number of decimals, unstripped (C{int}). @keyword sep: Optional separator to join (C{str}). @keyword radius: Optionally, include radius (C{bool} or C{scalar}). @return: This WM as "meter meter" (C{str}) plus " radius" if B{C{radius}} is C{True} or C{scalar}. @raise WebMercatorError: Invalid B{C{radius}}. @example: >>> w = Wm(448251, 5411932.0001) >>> w.toStr(4) # 448251.0 5411932.0001 >>> w.toStr(sep=', ') # 448251, 5411932 ''' fs = self._x, self._y if radius in (False, None): pass elif radius is True: fs += (self._radius,) elif isscalar(radius): fs += (radius,) else: raise WebMercatorError('% invalid: %r' % ('radius', radius)) return fStr(fs, prec=prec, sep=sep) def toStr2(self, prec=3, fmt='[%s]', sep=', ', radius=False): # PYCHOK expected '''Return a string representation of this WM coordinate. @keyword prec: Optional number of decimals, unstripped (C{int}). @keyword fmt: Optional, enclosing backets format (C{str}). @keyword sep: Optional separator between name:value pairs (C{str}). @keyword radius: Optionally, include radius (C{bool} or C{scalar}). @return: This WM as "[x:meter, y:meter]" (C{str}) plus ", radius:meter]" if B{C{radius}} is C{True} or C{scalar}. @raise WebMercatorError: Invalid B{C{radius}}. ''' t = self.toStr(prec=prec, sep=' ', radius=radius).split() k = 'x', 'y', 'radius' return fmt % (sep.join('%s:%s' % t for t in zip(k, t)),) @property_RO def x(self): '''Get the easting (C{meter}).''' return self._x @property_RO def y(self): '''Get the northing (C{meter}). ''' return self._y def parseWM(strWM, radius=R_MA, Wm=Wm, name=''): '''Parse a string representing a WM coordinate, consisting of easting, northing and an optional radius. @param strWM: A WM coordinate (C{str}). @keyword radius: Optional earth radius (C{meter}). @keyword Wm: Optional (sub-)class to return the WM coordinate (L{Wm}) or C{None}. @keyword name: Optional name (C{str}). @return: The WM coordinate (B{C{Wm}}) or an L{EasNorRadius3Tuple}C{(easting, northing, radius)} if B{C{Wm}} is C{None}. @raise WebMercatorError: Invalid B{C{strWM}}. @example: >>> u = parseWM('448251 5411932') >>> u.toStr2() # [E:448251, N:5411932] ''' w = strWM.strip().replace(',', ' ').split() try: if len(w) == 2: w += [radius] elif len(w) != 3: raise ValueError # caught below x, y, r = map(float, w) except (TypeError, ValueError): raise WebMercatorError('%s invalid: %r' % ('strWM', strWM)) r = EasNorRadius3Tuple(x, y, r) if Wm is None else \ Wm(x, y, radius=r) return _xnamed(r, name) def toWm(latlon, lon=None, radius=R_MA, Wm=Wm, name=''): '''Convert a lat-/longitude point to a WM coordinate. @param latlon: Latitude (C{degrees}) or an (ellipsoidal or spherical) geodetic C{LatLon} point. @keyword lon: Optional longitude (C{degrees} or C{None}). @keyword radius: Optional earth radius (C{meter}). @keyword Wm: Optional (sub-)class to return the WM coordinate (L{Wm}) or C{None}. @keyword name: Optional name (C{str}). @return: The WM coordinate (B{C{Wm}}) or an L{EasNorRadius3Tuple}C{(easting, northing, radius)} if B{C{Wm}} is C{None}. @raise ValueError: If B{C{lon}} value is missing, if B{C{latlon}} is not scalar, if B{C{latlon}} is beyond the valid WM range and L{rangerrors} is set to C{True} or if B{C{radius}} is invalid. @example: >>> p = LatLon(48.8582, 2.2945) # 448251.8 5411932.7 >>> w = toWm(p) # 448252 5411933 >>> p = LatLon(13.4125, 103.8667) # 377302.4 1483034.8 >>> w = toWm(p) # 377302 1483035 ''' r, e = radius, None try: lat, lon = latlon.lat, latlon.lon if isinstance(latlon, _LLEB): r = latlon.datum.ellipsoid.a e = latlon.datum.ellipsoid.e if not name: # use latlon.name name = nameof(latlon) lat = clipDMS(lat, _LatLimit) except AttributeError: lat, lon = parseDMS2(latlon, lon, clipLat=_LatLimit) s = sin(radians(lat)) y = atanh(s) # == log(tan((90 + lat) / 2)) == log(tanPI_2_2(radians(lat))) if e: y -= e * atanh(e * s) e, n = r * radians(lon), r * y r = EasNorRadius3Tuple(e, n, r) if Wm is None else \ Wm(e, n, radius=r) return _xnamed(r, name) # **) 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.