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## Copyright (c) 2014-2018 Michael Hirsch, Ph.D.
## Copyright (c) 2013-2020 Felipe Geremia Nievinski
## Copyright (C) 2020 Philip Nienhuis
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
## 1. Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2. Redistributions in binary form must reproduce the above copyright notice,
## this list of conditions and the following disclaimer in the documentation
## and/or other materials provided with the distribution.
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
## THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
## LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
## CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
## SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
## OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
## WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
## (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
## SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{az}, @var{el}, @var{slantRange} =} geodetic2aer (@var{lat}, @var{lon}, @var{alt}, @var{lat0}, @var{lon0}, @var{alt0})
## @deftypefnx {Function File} {@var{az}, @var{el}, @var{slantRange} =} geodetic2aer (@var{lat}, @var{lon}, @var{alt}, @var{lat0}, @var{lon0}, @var{alt0}, @var{spheroid})
## @deftypefnx {Function File} {@var{az}, @var{el}, @var{slantRange} =} geodetic2aer (@var{lat}, @var{lon}, @var{alt}, @var{lat0}, @var{lon0}, @var{alt0}, @var{spheroid}, @var{angleUnit})
## Convert from geodetic coordinates (latitude, longitude, local height) to
## Azimuth, Elevation and Range (AER) coordinates.
##
## Inputs:
## @itemize
## @item
## @var{lat}, @var{lon}, @var{alt}: ellipsoid geodetic coordinates of target
## point(s) (angle, angle, length). In case of non-scalar inputs (i.e.,
## multiple points) the dimensions (vectors, nD arrays) of each of these
## inputs should match. The length unit is that of the used ellipsoid
## (default is meters).
##
## @item
## @var{lat0}, @var{lon0}, @var{alt0}: ellipsoid geodetic coordinates of local
## observer (angle, angle, length). In case of multiple observer locations
## their numbers and dimensions should match those of the target points (i.e.,
## one observer location for each test point). The length units of the
## point(s) and observer location(s) should match.
##
## @item
## @var{spheroid} is a user-specified sheroid (see referenceEllipsoid). It
## can be spcifid as a referenceEllipsoid struct, a name or an EPSG number. If
## omitted WGS84 will be selected as default spheroid and the default length
## will then be meters.
##
## @item
## @var{angleUnit}: string for angular units ('degrees' or 'radians',
## case-insensitive, just the first character will do). Default is 'degrees'.
## @end itemize
##
## Outputs:
## @itemize
## @item
## @var{e}, @var{n}, @var{u}: East, North, Up Cartesian coordinates
## (meters).
## @end itemize
##
## Example:
## @example
## lat = 42.002; lon = -81.998; alt = 1000;
## lat0 = 42; lon0 = -82; alt0 = 200;
## [e, n, u] = geodetic2aer (lat, lon, alt, lat0, lon0, alt0, "wgs84", "degrees")
## -->
## az = 36.719
## el = 70.890
## slantRange = 846.65
## @end example
##
## @seealso {aer2geodetic, geodetic2ecef, geodetic2enu, geodetic2ned,
## referenceEllipsoid}
## @end deftypefn
## Function adapted by anonymous contributor, see:
## https://savannah.gnu.org/patch/index.php?9918
function [az, el, slantRange] = geodetic2aer (varargin)
spheroid = "";
angleUnit = "degrees";
if (nargin < 6 || nargin > 8)
print_usage();
elseif (nargin == 7)
if (isnumeric (varargin{7}))
## EPSG spheroid code
spheroid = varargin{7};
elseif (ischar (varargin{7}))
if (! isempty (varargin{7}) && ismember (varargin{7}(1), {"r", "d"}))
angleUnit = varargin{7};
else
spheroid = varargin{7};
endif
elseif (isstruct (varargin{7}))
spheroid = varargin{7};
else
error ("geodetic2aer: spheroid or angleUnit expected for arg. #7");
endif
elseif (nargin == 8)
spheroid = varargin{7};
angleUnit = varargin{8};
endif
lat = varargin{1};
lon = varargin{2};
alt = varargin{3};
lat0 = varargin{4};
lon0 = varargin{5};
alt0 = varargin{6};
if (! isnumeric (lat) || ! isreal (lat) || ...
! isnumeric (lon) || ! isreal (lon) || ...
! isnumeric (alt) || ! isreal (alt) || ...
! isnumeric (lat0) || ! isreal (lat0) || ...
! isnumeric (lon0) || ! isreal (lon0) || ...
! isnumeric (alt0) || ! isreal (alt0))
error ("geodetic2aer: numeric input expected");
endif
if (! all (size (lat) == size (lon)) || ! all (size (lon) == size (alt)))
error ("geodetic2aer: non-matching dimensions of inputs.");
endif
if (! (isscalar (lat0) && isscalar (lon0) && isscalar (alt0)))
## Check if for each test point a matching obsrver point is given
if (! all (size (lat0) == size (lat)) || ...
! all (size (lon0) == size (lon)) || ...
! all (size (alt0) == size (alt)))
error ("geodetic2aer: non-matching dimensions of geodetic locations \
and AER target points");
endif
endif
if (isempty (spheroid))
E = wgs84Ellipsoid;
elseif (isstruct (spheroid))
E = spheroid;
else
E = referenceEllipsoid (spheroid);
endif
if (! ischar (angleUnit) || ! ismember (lower (angleUnit(1)), {"d", "r"}))
error ("geodetic2aer: angleUnit should be one of 'degrees' or 'radians'")
endif
[e, n, u] = geodetic2enu (lat, lon, alt, lat0, lon0, alt0, spheroid, angleUnit);
[az, el, slantRange] = enu2aer (e, n, u, angleUnit);
endfunction
%!test
%! lat = 42.002582; lon = -81.997752; alt = 1139.7;
%! lat0 = 42; lon0 = -82; alt0 = 200;
%! [az, el, slantRange] = geodetic2aer (lat, lon, alt, lat0, lon0, alt0);
%! assert([az, el, slantRange], [33, 70, 1000], 10e-3);
%!test
%! Rad=deg2rad([42.002582, -81.997752, 42, -82, 33, 70]);
%! alt = 1139.7; alt0 = 200;
%! [az, el, slantRange] = geodetic2aer(Rad(1), Rad(2), alt, Rad(3), Rad(4), alt0, "rad");
%! assert([az, el, slantRange], [Rad(5), Rad(6), 1000], 10e-3);
%!test
%! [g, h, k] = geodetic2aer (45.977, 7.658, 4531, 46.017, 7.750, 1673);
%! assert ([g, h, k], [238.075833, 18.743875, 8876.843345], 1e-6);
%!error <angleUnit> geodetic2aer (45, 45, 100, 50, 50, 200, "", "km")
%!error <numeric input expected> geodetic2aer ("A", 45, 100, 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45i, 45, 100, 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45, "A", 100, 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45i, 100, 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45, "A", 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100i, 50, 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100, "A", 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100, 50i, 50, 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100, 50, "A", 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100, 50, 50i, 200)
%!error <numeric input expected> geodetic2aer (45, 45, 100, 50, 50, "A")
%!error <numeric input expected> geodetic2aer (45, 45, 100, 50, 50, 200i)
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