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
|
## Copyright (C) 2014-2022 Michael Hirsch, Ph.D.
## Copyright (C) 2013-2022 Felipe Geremia Nievinski
## Copyright (C) 2020-2022 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} =} ecef2aer (@var{x}, @var{y}, @var{z}, @var{lat0}, @var{lon0}, @var{alt0})
## @deftypefnx {Function File} {@var{az}, @var{el}, @var{slantrange} =} ecef2aer (@dots{}, @var{spheroid})
## @deftypefnx {Function File} {@var{az}, @var{el}, @var{slantrange} =} ecef2aer (@dots{}, @var{spheroid}, @var{angleUnit})
## Convert Earth Centered Earth Fixed (ECEF) coordinates to local Azimuth,
## Elevation and slantRange (AER) coordinates.
##
## Inputs:
## @itemize
## @item
## @var{x}, @var{y}, @var{z}:
## ECEF coordinates of target points (length units equal to length unit of
## used referenceEllipsoid, of which the default is meters). Vectors and nD
## arrays are accepted if they have equal dimensions.
##
## @item
## @var{lat0}, @var{lon0}, @var{alt0}: latitude, longitude and height of local
## observer point(s). Length unit of local height: see above. In case of
## multiple local locations their numbers and dimensions should match those of
## the target points (i.e., one observer location for each target point).
##
## @item
## (Optional) @var{spheroid}: referenceEllipsoid specified as EPSG number,
## ellipsoid name, or parameter struct. An empty string ("") or empty numeric
## array ([]) is also accepted. Default is WGS84.
##
## @item
## (Optional) @var{angleUnit}: string for angular units ('radians' or
## 'degrees'), only the first letter matters. Default is 'd': degrees.
## @end itemize
##
## All these coordinated must be either scalars or vectors or nD-arrays in which
## case all must have the same dimensions.
##
## Outputs:
## @itemize
## @item
## @var{az}, @var{el}, @var{slantrange}: look angles and distance to point
## under consideration (default units: degrees, degrees, and length unit of
## invoked referenceEllipsoid, of which default = meters).
## @end itemize
##
## Example:
## @example
## [az, el, slantrange] = ecef2aer (660930.192761082, -4701424.22295701, ...
## 4246579.60463288, 42, -82, 200, "wgs84")
## az = 33.000
## el = 70.000
## slantrange = 1000.00
## @end example
##
## With radians:
## @example
## [az, el, slantrange] = ecef2aer (660930.192761082,-4701424.22295701, ...
## 4246579.60463288, 0.73304, -1.4312, 200, ...
## "wgs84", "rad")
## az = 0.57596
## el = 1.2217
## slantrange = 1000.0
## @end example
##
## @seealso{aer2ecef, ecef2enu, ecef2enuv, ecef2geodetic, ecef2ned, ecef2nedv,
## referenceEllipsoid}
##
## @end deftypefn
function [az, el, slantRange] = ecef2aer (varargin)
spheroid = "";
angleUnit = "degrees";
if (nargin < 6 || nargin > 8)
print_usage();
elseif (nargin == 6)
## Assume lat, lon, alt, lat0, lon0, alt0 given
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 ("ecef2aer: spheroid or angleUnit expected for arg. #7");
endif
elseif (nargin == 8)
spheroid = varargin{7};
angleUnit = varargin{8};
endif
if (isnumeric (spheroid))
spheroid = num2str (spheroid);
endif
x = varargin{1};
y = varargin{2};
z = varargin{3};
lat0 = varargin{4};
lon0 = varargin{5};
alt0 = varargin{6};
if (! isnumeric (x) || ! isreal (x) || ...
! isnumeric (y) || ! isreal (y) || ...
! isnumeric (z) || ! isreal (z) || ...
! isnumeric (lat0) || ! isreal (lat0) || ...
! isnumeric (lon0) || ! isreal (lon0) || ...
! isnumeric (alt0) || ! isreal (alt0))
error ("ecef2aer : numeric real input expected for first 6 input args.");
endif
if (! all (size (x) == size (y)) || ! all (size (y) == size (z)))
error ("ecef2aer: non-matching dimensions of ECEF 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 (x)) || ...
! all (size (lon0) == size (y)) || ...
! all (size (alt0) == size (z)))
error (["ecef2aer: non-matching dimensions of observer points and ", ...
"target points"]);
endif
endif
if (! ischar (angleUnit) || ! ismember (lower (angleUnit(1)), {"d", "r"}))
error ("ecef2aer: angleUnit should be one of 'degrees' or 'radians'")
endif
E = sph_chk (spheroid);
[e, n, u] = ecef2enu (x, y, z, lat0, lon0, alt0, E, angleUnit);
[az, el, slantRange] = enu2aer (e, n, u, angleUnit);
endfunction
%!test
%! [az, el, slantrange] = ecef2aer (660930.192761082, -4701424.22295701, 4246579.60463288, 42, -82, 200);
%! assert ([az, el, slantrange], [33, 70, 1e3], 10e-6)
%!test
%! [az, el, slantrange] = ecef2aer (660930.192761082, -4701424.22295701, 4246579.60463288, 0.7330382858, -1.43116999, 200, "", "r");
%! assert ([az, el, slantrange], [0.57595865, 1.221730476, 1e3], 5e-3)
%!test
%! [az, el, slantrange] = ecef2aer (10766080.3, 14143607.0, 33992388.0, 42.3221, -71.3576, 84.7);
%! assert ([az, el, slantrange], [24.801, 14.619, 36271632.6754], 1e-3)
%!error <angleUnit> ecef2aer (45, 45, 100, 50, 50, 200, "", "km")
%!error <numeric real input expected> ecef2aer ("A", 45, 100, 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45i, 45, 100, 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45, "A", 100, 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45i, 100, 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45, "A", 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100i, 50, 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100, "A", 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100, 50i, 50, 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100, 50, "A", 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100, 50, 50i, 200)
%!error <numeric real input expected> ecef2aer (45, 45, 100, 50, 50, "A")
%!error <numeric real input expected> ecef2aer (45, 45, 100, 50, 50, 200i)
%!error <non-matching> ecef2aer ([1 1], [2 2]', [3 3], 4, 5, 6)
%!error <non-matching> ecef2aer ([1 1], [2 2], [33], 4, 5, 6)
%!error <non-matching> ecef2aer ([1 1], [2 2], [3 3], [4 4], 5, 6)
%!error <non-matching> ecef2aer ([1 1], [2 2], [3 3], 4, [5 5], 6)
%!error <non-matching> ecef2aer ([1 1], [2 2], [3 3], [4; 4], [5; 5], [6; 6])
|
