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
|
## Copyright (c) 2014-2020 Michael Hirsch, Ph.D.
## Copyright (c) 2013-2020, Felipe Geremia Nievinski
## Copyright (C) 2019-2020 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{n}, @var{e}, @var{d} =} aer2ned (@var{az}, @var{el}, @var{slantrange})
## @deftypefnx {Function File} {@var{n}, @var{e}, @var{d} =} aer2ned (@var{az}, @var{el}, @var{slantrange}, @var{angleUnit})
## Convert Azimuth, Elevation and Range (AER) coordinates to North, East, Down
## (NED) coordinates.
##
## Inputs:
## @itemize
## @item
## @var{az}, @var{el}, @var{slantrange}: look angles and distance to target
## point (ange, angle, length). Scalars, vectors and nD-arrays are accepted
## and should have the same dimensions and length units.
##
## @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{n}, @var{e}, @var{d}: North, East, Down coordinates of points.
## (same length units as inputs).
## @end itemize
##
## Examples:
## @example
## [n, e, d] = aer2ned (33, 70, 1e3)
## n = 286.84
## e = 186.28
## d = -939.69
## @end example
##
## With radians
## @example
## [n, e, d] = aer2ned (pi/4, pi/3,1e3, "radians")
## n = 353.55
## e = 353.55
## d = -866.03
## @end example
##
## @seealso {ned2aer, aer2ecef, aer2enu, aer2geodetic}
##
## @end deftypefn
## Function adapted by anonymous contributor, see:
## https://savannah.gnu.org/patch/index.php?8377
function [n, e, d] = aer2ned (az, el, slantrange, angleUnit = "degrees")
if (nargin < 3)
print_usage();
endif
if (! isnumeric (az) || ! isreal (az) || ...
! isnumeric (el) || ! isreal (el) || ...
! isnumeric (slantrange) || ! isreal (slantrange))
error ("aer2ned: numeric values expected for first three inputs.");
endif
if (! all (size (az) == size (el)) || ! all (size (el) == size (slantrange)))
error ("aer2ned: non-matching dimensions of inputs.");
endif
if (! ischar (angleUnit))
error ("aer2ned: character value expected for 'angleUnit'");
elseif (strncmpi (angleUnit, "degrees", length (angleUnit)))
az = deg2rad (az);
el = deg2rad (el);
elseif (! strncmpi (angleUnit, "radians", length (angleUnit)))
error ("aer2ned: illegal input for 'angleUnit'");
endif
## Calculation of AER2NED
d = -slantrange .* sin (el);
r = slantrange .* cos (el);
e = r .* sin (az);
n = r .* cos (az);
endfunction
%!test
%! [n, e, d] = aer2ned (33, 70, 1e3);
%! assert ([n, e, d], [286.84222, 186.277521, -939.69262], 10e-6)
%! [e, n, u] = aer2ned (0.57595865, 1.221730476, 1e3, "rad");
%! assert ([e, n, u], [286.84222, 186.277521, -939.69262], 10e-6)
%!error <numeric> aer2ned("s", 25, 1e3)
%!error <numeric> aer2ned(3i, 25, 1e3)
%!error <numeric> aer2ned(33, "s", 1e3)
%!error <numeric> aer2ned(33, 3i, 1e3)
%!error <numeric> aer2ned(33, 25, "s")
%!error <numeric> aer2ned(33, 25, 3i)
%!error <non-matching> aer2ned ([1 1], [2 2]', [4 5])
%!error <non-matching> aer2ned ([1 1], [2 2], [4 5 6])
%!error <character> aer2ned (1, 2, 3, 4);
%!error <illegal> aer2ned (33, 70, 1e3, "f");
%!error <illegal> aer2ned (33, 70, 1e3, "degreef");
|
