# Coverage for pygeodesy/geodesicx/gxbases.py : 97%

## 92 statements 89 run 3 missing 1 excluded

Hot-keys on this page

r m x p toggle line displays

j k next/prev highlighted chunk

0 (zero) top of page

1 (one) first highlighted chunk

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 | # -*- coding: utf-8 -*- u'''Base L{geodesicx} classes, functions and constants. Copyright (C) Charles Karney (2012-2021) <Charles@Karney.com> and licensed under the MIT/X11 License. For more information, see U{GeographicLib<https://GeographicLib.SourceForge.io>}. ''' # from pygeodesy.basics import isodd # from .karney # from pygeodesy.errors import _or # from .karney from pygeodesy.interns import MIN as _MIN, _not_, \ _0_0, _1_0, _N_1_0, _2_0 from pygeodesy.karney import GeodesicError, isodd, _or, \ _NamedBase, Property, _sum2_ from pygeodesy.lazily import _ALL_DOCS # from pygeodesy.named import _NamedBase # from .karney # from pygeodesy.props import Property # from .karney from math import sqrt, ldexp as _ldexp __all__ = () __version__ = '21.11.24' # valid C{nC4}s and C{C4Order}s, see _xnC4 below _nC4s = {24: 2900, 27: 4032, 30: 5425} # underflow guard, we require _TINY * EPS > 0, _TINY + EPS == EPS _TINY = sqrt(_MIN) # PYCHOK exported class Caps(object): # PYCHOK '''(INTERNAL) Overriden by C{Caps} below. ''' EMPTY = 0 # formerly ka NONE LATITUDE = 1 << 7 # compute latitude C{lat2} (0x80) LONGITUDE = 1 << 8 # compute longitude C{lon2} AZIMUTH = 1 << 9 # azimuths C{azi1} and C{azi2} DISTANCE = 1 << 10 # compute distance C{s12} DISTANCE_IN = 1 << 11 # allow distance C{s12} in Direct REDUCEDLENGTH = 1 << 12 # compute reduced length C{m12} GEODESICSCALE = 1 << 13 # compute geodesic scales C{M12} and C{M21} AREA = 1 << 14 # compute area C{S12} (0x4000) STANDARD = AZIMUTH | DISTANCE | DISTANCE_IN | LATITUDE | LONGITUDE ALL = 0x7F80 # without LONG_UNROLL, REVERSE2 and _DEBUG_* LONG_UNROLL = 1 << 15 # unroll C{lon2} in GeodesicExact.Direct REVERSE2 = 1 << 16 # reverse C{azi2} _ANGLE_ONLY = 1 << 17 # angular distance C{a12} only _SALPs_CALPs = 1 << 18 # (INTERNAL) GeodesicExact._GenInverse _DEBUG_AREA = 1 << 19 # (INTERNAL) include Line details _DEBUG_DIRECT = 1 << 20 # (INTERNAL) include Direct details _DEBUG_INVERSE = 1 << 21 # (INTERNAL) include Inverse details _DEBUG_LINE = 1 << 22 # (INTERNAL) include Line details _DEBUG_ALL = _DEBUG_AREA | _DEBUG_DIRECT | _DEBUG_INVERSE | \ _DEBUG_LINE | _ANGLE_ONLY | _SALPs_CALPs _OUT_ALL = ALL _OUTMASK = ALL | LONG_UNROLL | REVERSE2 | _DEBUG_ALL _AZIMUTH_DISTANCE = AZIMUTH | DISTANCE _AZIMUTH_LATITUDE_LONGITUDE = AZIMUTH | LATITUDE | LONGITUDE _LINE = AZIMUTH | LATITUDE | LONG_UNROLL _REDUCEDLENGTH_GEODESICSCALE = REDUCEDLENGTH | GEODESICSCALE _DISTANCE_REDUCEDLENGTH_GEODESICSCALE = REDUCEDLENGTH | GEODESICSCALE | DISTANCE Caps = Caps() # PYCHOK singleton '''I{Enum}-style masks to be bit-C{or}'ed to specify geodesic capabilities (C{caps}) and expected results (C{outmask}). C{AREA} - compute area C{S12}, C{AZIMUTH} - include azimuths C{azi1} and C{azi2}, C{DISTANCE} - compute distance C{s12}, C{DISTANCE_IN} - allow distance C{s12} in C{.Direct}, C{EMPTY} - nothing, formerly aka C{NONE}, C{GEODESICSCALE} - compute geodesic scales C{M12} and C{M21}, C{LATITUDE} - compute latitude C{lat2}, C{LONGITUDE} - compute longitude C{lon2}, C{LONG_UNROLL} - unroll C{lon2} in C{.Direct}, C{REDUCEDLENGTH} - compute reduced length C{m12}, C{REVERSE2} - reverse C{azi2}, and C{ALL} - all of the above. C{STANDARD} = C{AZIMUTH | DISTANCE | DISTANCE_IN | LATITUDE | LONGITUDE}''' class _GeodesicBase(_NamedBase): # in .geodsolve '''(INTERNAL) Base class for C{[_]Geodesic*Exact}. ''' ALL = Caps.ALL AREA = Caps.AREA AZIMUTH = Caps.AZIMUTH DISTANCE = Caps.DISTANCE DISTANCE_IN = Caps.DISTANCE_IN EMPTY = Caps.EMPTY # aka NONE GEODESICSCALE = Caps.GEODESICSCALE LATITUDE = Caps.LATITUDE LONGITUDE = Caps.LONGITUDE LONG_UNROLL = Caps.LONG_UNROLL REDUCEDLENGTH = Caps.REDUCEDLENGTH STANDARD = Caps.STANDARD _debug = 0 # or Caps._DEBUG_... # def toRepr(self, prec=6, sep=_COMMASPACE_, **unused): # PYCHOK signature # '''Return this C{GeodesicExact*} items string. # # @kwarg prec: The C{float} precision, number of decimal digits (0..9). # Trailing zero decimals are stripped for B{C{prec}} values # of 1 and above, but kept for negative B{C{prec}} values. # @kwarg sep: Optional separator to join (C{str}). # # @return: C{GeodesicExact*} (C{str}). # ''' # return Fmt.PAREN(self.named, self.toStr(prec=prec, sep=sep)) @Property def debug(self): '''Get the C{debug} option (C{bool}). ''' return bool(self._debug) @debug.setter # PYCHOK setter! def debug(self, debug): '''Set the C{debug} option. @arg debug: Include more details in results (C{bool}). ''' self._debug = Caps._DEBUG_ALL if debug else 0 def _all_caps(_caps, caps): # PYCHOK shared '''(INTERNAL) Check all available capabilities: C{True} if I{all} B{C{caps}} are available in B{C{_caps}}, C{False} otherwise (C{bool}). ''' caps &= Caps._OUT_ALL return (_caps & caps) == caps def _coSeries(c4s, sx, cx): # PYCHOK shared .geodesicx.gx and -.gxline '''(INTERNAL) I{Karney}'s cosine series expansion using U{Clenshaw summation<https://WikiPedia.org/wiki/Clenshaw_algorithm>}. ''' ar = _2_0 * (cx - sx) * (cx + sx) # 2 * cos(2 * x) y0 = t0 = y1 = t1 = _0_0 i = len(c4s) # c4s = list(c4s) if isodd(i): i -= 1 y0 = c4s[i] # c4s.pop() for i in range(i - 1, 0, -2): # reversed # y1 = ar * y0 - y1 + c4s.pop() # y0 = ar * y1 - y0 + c4s.pop() y1, t1 = _sum2_(ar * y0, ar * t0, -y1, -t1, c4s[i]) y0, t0 = _sum2_(ar * y1, ar * t1, -y0, -t0, c4s[i - 1]) s, _ = _sum2_(_1_0, cx * y0, cx * t0, -cx * y1, -cx * t1, _N_1_0) return s # cx * (y0 - y1) _f = float # in _f2 and .geodesicx._C4_24, _27 and _30 def _f2(hi, lo): # in .geodesicx._C4_24, _27 and _30 '''(INTERNAL) For C{_coeffs}. ''' return _ldexp(_f(hi), 52) + _f(lo) def _polynomial(x, c4s, i, j): # PYCHOK shared '''(INTERNAL) Like C{GeographicLib.Math.hpp.polyval} but with a different signature and cascaded summation as C{karney._fsum2}. @return: M{sum(c4s[k] * x**(j - k - 1) for k in range(i, j)} ''' s, t = c4s[i], _0_0 for i in range(i + 1, j): s, t = _sum2_(s * x, t * x, c4s[i]) return s # + t def _sincos12(sin1, cos1, sin2, cos2, noneg=False): # PYCHOK shared '''(INTERNAL) Compute the C{sin12} and C{cos12} of M{ang12 = atan2(sin2, cos2) - atan2(sin1, cos1)}. Use C{-sin1} to get C{sin12} and C{cos12} of the sum M{ang12 = atan2(sin2, cos2) + atan2(sin1, cos1)}. @kwarg noneg: Limit C{sin12} to non-negative (C{bool}). @return: 2-Tuple C{(sin12, cos12)}. ''' s = sin2 * cos1 - sin1 * cos2 c = cos2 * cos1 + sin1 * sin2 if noneg and s < 0: s = _0_0 # max(s, _0_0) return s, c def _xnC4(**name_nC4): '''(INTERNAL) Validate C{C4Order}. ''' n, nC4 = name_nC4.popitem() if nC4 not in _nC4s or not isinstance(nC4, int): raise GeodesicError(n, nC4, txt=_not_(_or(*map(str, _nC4s)))) return _nC4s[nC4] __all__ += _ALL_DOCS(Caps) # **) 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.