# Coverage for pygeodesy/geodesicx/gxbases.py : 98%

## 40 statements 39 run 1 missing 1 excluded

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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 | # -*- coding: utf-8 -*- u'''(INTERNAL) Private L{geodesicx} base class, functions and constants. Copyright (C) U{Charles Karney<mailto:Charles@Karney.com>} (2008-2022) and licensed under the MIT/X11 License. For more information, see the U{GeographicLib<https://GeographicLib.SourceForge.io>} documentation. ''' # from pygeodesy.basics import isodd # from .karney # from pygeodesy.errors import _or # from .karney from pygeodesy.interns import MIN as _MIN, _not_, _0_0, _2_0 from pygeodesy.karney import _CapsBase, GeodesicError, \ isodd, _hypot, _or, _sum2_ # from pygeodesy.props import Property # from .karney from math import sqrt, ldexp as _ldexp __all__ = () __version__ = '22.08.10' # 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 # assert (_TINY * EPS) > 0 and (_TINY + EPS) == EPS class _GeodesicBase(_CapsBase): # in .geodsolve '''(INTERNAL) Base class for C{[_]Geodesic*Exact}. ''' # 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: Separator to join (C{str}). # # @return: C{GeodesicExact*} (C{str}). # ''' # return Fmt.PAREN(self.named, self.toStr(prec=prec, sep=sep)) pass def _cosSeries(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() _s2_ = _sum2_ for i in range(i - 1, 0, -2): # reversed # y1 = ar * y0 - y1 + c4s.pop() # y0 = ar * y1 - y0 + c4s.pop() y1, t1 = _s2_(ar * y0, ar * t0, -y1, -t1, c4s[i]) y0, t0 = _s2_(ar * y1, ar * t1, -y0, -t0, c4s[i - 1]) s, _ = _s2_(cx * y0, cx * t0, -cx * y1, -cx * t1) 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 _sincos12(sin1, cos1, sin2, cos2, sineg0=False): # PYCHOK shared '''(INTERNAL) Compute the sine and cosine of angle 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 sineg0: If C{True}, make negative C{sin12} zero (C{bool}). @return: 2-Tuple C{(sin12, cos12)}. ''' s = sin2 * cos1 - sin1 * cos2 c = cos2 * cos1 + sin1 * sin2 if sineg0 and s < 0: s = _0_0 # max(s, _0_0) or NEG0? return s, c def _sin1cos2(sin1, cos1, sin2, cos2): # PYCHOK shared '''(INTERNAL) Compute the C{sin1 * cos2} sine and its cosine. @return: 2-Tuple C{(sin1 * cos2, hypot(sin1 * sin2, cos1)}. ''' s = sin1 * cos2 c = _hypot(sin1 * sin2, cos1) return s, c # _norm2(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] # **) 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.