## 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 geodetic2aer (45, 45, 100, 50, 50, 200, "", "km") %!error geodetic2aer ("A", 45, 100, 50, 50, 200) %!error geodetic2aer (45i, 45, 100, 50, 50, 200) %!error geodetic2aer (45, "A", 100, 50, 50, 200) %!error geodetic2aer (45, 45i, 100, 50, 50, 200) %!error geodetic2aer (45, 45, "A", 50, 50, 200) %!error geodetic2aer (45, 45, 100i, 50, 50, 200) %!error geodetic2aer (45, 45, 100, "A", 50, 200) %!error geodetic2aer (45, 45, 100, 50i, 50, 200) %!error geodetic2aer (45, 45, 100, 50, "A", 200) %!error geodetic2aer (45, 45, 100, 50, 50i, 200) %!error geodetic2aer (45, 45, 100, 50, 50, "A") %!error geodetic2aer (45, 45, 100, 50, 50, 200i)