# Coverage for pygeodesy/nvectorBase.py : 86%

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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 | # -*- coding: utf-8 -*- u'''(INTERNAL) Base classes L{LatLonNvectorBase} and L{NvectorBase} and function L{sumOf} for C{N-vectorial} ellipsoidal and spherical C{Cartesian}s and C{LatLon}s. Pure Python implementation of C{n-vector}-based geodesy tools for ellipsoidal earth models, transcribed from JavaScript originals by I{(C) Chris Veness 2005-2016} and published under the same MIT Licence**, see U{Vector-based geodesy <https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>}. @newfield example: Example, Examples ''' from pygeodesy.ecef import EcefVeness from pygeodesy.fmath import fsum, hypot_, len2, scalar from pygeodesy.latlonBase import LatLonBase from pygeodesy.lazily import _ALL_DOCS, _2kwds from pygeodesy.named import LatLon3Tuple, Vector3Tuple, \ Vector4Tuple, _xattrs from pygeodesy.vector3d import Vector3d, VectorError, \ sumOf as _sumOf, _xyzhdn6 from pygeodesy.utily import property_RO # from math import cos, sin # all public constants, classes and functions __all__ = _ALL_DOCS('LatLonNvectorBase') + ( 'NorthPole', 'SouthPole', # constants 'NvectorBase', # classes 'sumOf') # functions __version__ = '20.01.22' class NvectorBase(Vector3d): # XXX kept private '''Base class for ellipsoidal and spherical C{Nvector}s. ''' _datum = None #: (INTERNAL) L{Datum}, overriden. _Ecef = EcefVeness #: (INTERNAL) Preferred C{Ecef...} class, backward compatible. _e9t = None #: (INTERNAL) Cached toCartesian (L{Ecef9Tuple}). _h = 0 #: (INTERNAL) Height (C{meter}). _H = '' #: Heigth prefix (C{str}), '↑' in JS version def __init__(self, x, y=None, z=None, h=0, ll=None, datum=None, name=''): '''New n-vector normal to the earth's surface. @param x: An C{Nvector}, L{Vector3Tuple}, L{Vector4Tuple} or the C{X} coordinate (C{scalar}). @param y: The C{Y} coordinate (C{scalar}) if B{C{x}} C{scalar}. @param z: The C{Z} coordinate (C{scalar}) if B{C{x}} C{scalar}. @keyword h: Optional height above surface (C{meter}). @keyword ll: Optional, original latlon (C{LatLon}). @keyword datum: Optional, I{pass-thru} datum (C{Datum}). @keyword name: Optional name (C{str}). @raise TypeError: Non-scalar B{C{x}}, B{C{y}} or B{C{z}} coordinate or B{C{x}} not an C{Nvector}, L{Vector3Tuple} or L{Vector4Tuple}. @example: >>> from pygeodesy.sphericalNvector import Nvector >>> v = Nvector(0.5, 0.5, 0.7071, 1) >>> v.toLatLon() # 45.0°N, 045.0°E, +1.00m ''' x, y, z, h, d, n = _xyzhdn6(x, y, z, h, datum, ll) Vector3d.__init__(self, x, y, z, ll=ll, name=name or n) if h: self.h = h if d: # just pass-thru self._datum = d @property_RO def datum(self): '''Get the I{pass-thru} datum (C{Datum}) or C{None}. ''' return self._datum @property_RO def Ecef(self): '''Get the ECEF I{class} (L{EcefKarney} or L{EcefVeness}). ''' return self._Ecef @property def h(self): '''Get the height above surface (C{meter}). ''' return self._h @h.setter # PYCHOK setter! def h(self, h): '''Set the height above surface. @param h: New height (C{meter}). @raise TypeError: If B{C{h}} invalid. @raise VectorError: If B{C{h}} invalid. ''' h = scalar(h, None, name='h', Error=VectorError) self._update(h != self._h) self._h = h @property def H(self): '''Get the height prefix (C{str}). ''' return self._H @H.setter # PYCHOK setter! def H(self, H): '''Set the height prefix. @param H: New height prefix (C{str}). ''' self._H = str(H) if H else '' def to3abh(self, height=None): '''Convert this n-vector to (geodetic) lat-, longitude in C{radians} and height. @keyword height: Optional height, overriding this n-vector's height (C{meter}). @return: A L{PhiLam3Tuple}C{(phi, lam, height)}. ''' h = self.h if height is None else height return Vector3d.to2ab(self)._3Tuple(h) def to3llh(self, height=None): '''Convert this n-vector to (geodetic) lat-, longitude in C{degrees} and height. @keyword height: Optional height, overriding this n-vector's height (C{meter}). @return: A L{LatLon3Tuple}C{(lat, lon, height)}. ''' r = self.toLatLon(height=height, LatLon=None) r = LatLon3Tuple(r.lat, r.lon, r.height) return self._xnamed(r) def to4xyzh(self, h=None): '''Return this n-vector's components as 4-tuple. @keyword h: Optional height, overriding this n-vector's height (C{meter}). @return: A L{Vector4Tuple}C{(x, y, z, h)}. ''' r = Vector4Tuple(self.x, self.y, self.z, self.h if h is None else h) return self._xnamed(r) def toCartesian(self, h=None, Cartesian=None, datum=None, **kwds): '''Convert this n-vector to C{Nvector}-based cartesian (ECEF) coordinates. @keyword height: Optional height, overriding this n-vector's height (C{meter}). @keyword Cartesian: Optional (sub-)class to return the (ECEF)coordinates (L{Cartesian}). @keyword datum: Optional, spherical datum (C{Datum}). @keyword kwds: Optional, additional C{name=value} pairs for B{C{Cartesian}} instance, provided B{C{Cartesian}} is not C{None}. @return: Cartesian (ECEF) coordinates (B{C{Cartesian}}). @raise TypeError: Invalid B{C{Cartesian}}. @example: >>> v = Nvector(0.5, 0.5, 0.7071) >>> c = v.toCartesian() # [3194434, 3194434, 4487327] >>> p = c.toLatLon() # 45.0°N, 45.0°E ''' x, y, z = self.x, self.y, self.z if h is None: h = self.h d = datum or self.datum E = d.ellipsoid # Kenneth Gade eqn (22) n = E.b / hypot_(x * E.a_b, y * E.a_b, z) r = h + n * E.a_b**2 c = self.Ecef(d).reverse(x * r, y * r, z * (n + h), M=True) if Cartesian is not None: # class or .classof c = Cartesian(c, **kwds) return self._xnamed(c) def toLatLon(self, height=None, LatLon=None, datum=None, **kwds): '''Convert this n-vector to an C{Nvector}-based geodetic point. @keyword height: Optional height, overriding this n-vector's height (C{meter}). @keyword LatLon: Optional (sub-)class to return the point (L{LatLon}) or C{None}. @keyword datum: Optional, spherical datum (C{Datum}). @keyword kwds: Optional, additional C{name=value} pairs for B{C{LatLon}} instance, provided B{C{LatLon}} is not C{None}. @return: The B{C{LatLon}} point (L{LatLon}) or if C{B{LatLon}=None} or a L{LatLon3Tuple}C{(lat, lon, height)} if B{C{LatLon}} is C{None}. @raise TypeError: Invalid B{C{LatLon}}. @example: >>> v = Nvector(0.5, 0.5, 0.7071) >>> p = v.toLatLon() # 45.0°N, 45.0°E ''' h = self.h if height is None else height d = datum or self.datum # XXX use self.Cartesian(Cartesian=None) if h == self.h # and d == self.datum, for better accuracy of the height r = self.Ecef(d).forward(Vector3d.to2ll(self), height=h, M=True) if LatLon is not None: # class or .classof r = LatLon(r.lat, r.lon, r.height, datum=r.datum, **kwds) return self._xnamed(r) def toStr(self, prec=5, fmt='(%s)', sep=', '): # PYCHOK expected '''Return a string representation of this n-vector. Height component is only included if non-zero. @keyword prec: Optional number of decimals, unstripped (C{int}). @keyword fmt: Optional enclosing backets format (C{str}). @keyword sep: Optional separator between components (C{str}). @return: Comma-separated C{"(x, y, z [, h])"} enclosed in B{C{fmt}} brackets (C{str}). @example: >>> Nvector(0.5, 0.5, 0.7071).toStr() # (0.5, 0.5, 0.7071) >>> Nvector(0.5, 0.5, 0.7071, 1).toStr(-3) # (0.500, 0.500, 0.707, +1.00) ''' t = Vector3d.toStr(self, prec=prec, fmt='%s', sep=sep) if self.h: t = '%s%s%s%+.2f' % (t, sep, self.H, self.h) return fmt % (t,) def toVector3d(self): '''Convert this n-vector to a normalized 3-d vector, I{ignoring the height}. @return: Normalized vector (L{Vector3d}). ''' u = self.unit() return Vector3d(u.x, u.y, u.z, name=self.name) def unit(self, ll=None): '''Normalize this vector to unit length. @keyword ll: Optional, original latlon (C{LatLon}). @return: Normalized vector (C{Nvector}). ''' if self._united is None: u = Vector3d.unit(self, ll=ll) # .copy() self._united = u._united = _xattrs(u, self, '_h') return self._united NorthPole = NvectorBase(0, 0, +1, name='NorthPole') #: North pole (C{Nvector}). SouthPole = NvectorBase(0, 0, -1, name='SouthPole') #: South pole (C{Nvector}). class LatLonNvectorBase(LatLonBase): '''(INTERNAL) Base class for n-vector-based ellipsoidal and spherical C{LatLon} classes. ''' def others(self, other, name='other'): '''Refine the class comparison. @param other: The other point (C{LatLon}). @keyword name: Optional, other's name (C{str}). @raise TypeError: Incompatible B{C{other}} C{type}. ''' try: LatLonBase.others(self, other, name=name) except TypeError: if not isinstance(other, NvectorBase): raise def toNvector(self, **kwds): # PYCHOK signature '''Convert this point to C{Nvector} components, I{including height}. @keyword kwds: Optional, additional B{C{Nvector}} keyword arguments, ignored if C{B{Nvector}=None}. Specify C{Nvector=...} to override this C{Nvector} class or set C{B{Nvector}=None}. @return: The B{C{Nvector}} components (C{Nvector}) or a L{Vector4Tuple}C{(x, y, z, h)} if C{B{Nvector}=None}. @raise TypeError: Invalid B{C{Nvector}} or B{C{kwds}}. ''' kwds = _2kwds(kwds, Nvector=NvectorBase) return LatLonBase.toNvector(self, **kwds) def sumOf(nvectors, Vector=None, h=None, **kwds): '''Return the vectorial sum of two or more n-vectors. @param nvectors: Vectors to be added (C{Nvector}[]). @keyword Vector: Optional class for the vectorial sum (C{Nvector}) or C{None}. @keyword h: Optional height, overriding the mean height (C{meter}). @keyword kwds: Optional, additional B{C{Vector}} keyword arguments, ignored if C{B{Vector}=None}. @return: Vectorial sum (B{C{Vector}}) or a L{Vector4Tuple}C{(x, y, z, h)} if C{B{Vector}=None}. @raise VectorError: No B{C{nvectors}}. ''' n, nvectors = len2(nvectors) if n < 1: raise VectorError('no nvectors: %r' & (n,)) if h is None: h = fsum(v.h for v in nvectors) / float(n) if Vector is None: r = _sumOf(nvectors, Vector=Vector3Tuple)._to4Tuple(h) else: r = _sumOf(nvectors, Vector=Vector, h=h, **kwds) return r # **) 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.