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
|
########################################################################
##
## Copyright (C) 2018-2024 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this
## distribution or <https://octave.org/copyright/>.
##
## This file is part of Octave.
##
## Octave is free software: you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation, either version 3 of the License, or
## (at your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, see
## <https://www.gnu.org/licenses/>.
##
########################################################################
## -*- texinfo -*-
## @deftypefn {} {[@var{s}, @var{l}] =} bounds (@var{x})
## @deftypefnx {} {[@var{s}, @var{l}] =} bounds (@var{x}, @var{dim})
## @deftypefnx {} {[@var{s}, @var{l}] =} bounds (@dots{}, "nanflag")
## Return the smallest and largest values of the input data @var{x}.
##
## If @var{x} is a vector, the bounds are calculated over the elements of
## @var{x}. If @var{x} is a matrix, the bounds are calculated for each column.
## For a multi-dimensional array, the bounds are calculated over the first
## non-singleton dimension.
##
## If the optional argument @var{dim} is given, operate along this dimension.
##
## The optional argument @qcode{"nanflag"} defaults to @qcode{"omitnan"} which
## does not include NaN values in the result. If the argument
## @qcode{"includenan"} is given, and there is a NaN present, then the result
## for both smallest (@var{s}) and largest (@var{l}) elements will be NaN.
##
## The bounds are a quickly computed measure of the dispersion of a data set,
## but are less accurate than @code{iqr} if there are outlying data points.
## @seealso{range, iqr, mad, std}
## @end deftypefn
function [s, l] = bounds (x, dim, nanflag = false)
if (nargin < 1)
print_usage ();
endif
if (! (isnumeric (x) || islogical (x)))
error ("bounds: X must be a numeric vector or matrix");
endif
need_dim = true;
if (nargin == 2)
if (ischar (dim))
nanflag = dim;
else
need_dim = false;
endif
elseif (nargin == 3)
need_dim = ifelse (isempty (dim), true, false);
endif
sz = size (x);
if (need_dim)
## Find the first non-singleton dimension.
(dim = find (sz > 1, 1)) || (dim = 1);
else
if (! (isscalar (dim) && dim == fix (dim) && dim > 0))
error ("bounds: DIM must be an integer and a valid dimension");
endif
endif
if (nanflag)
nanflag = strcmp (nanflag, "includenan");
endif
s = min (x, [], dim);
l = max (x, [], dim);
if (nanflag)
nanidx = any (isnan (x), dim);
s(nanidx) = NaN;
l(nanidx) = NaN;
endif
endfunction
%!test
%! [s,l] = bounds (1:10);
%! assert ([s,l], [1, 10]);
%!test
%! [s,l] = bounds ([10:-1:1]');
%! assert ([s,l], [1, 10]);
%!test
%! [s,l] = bounds (single (1:10));
%! assert ([s,l], single ([1, 10]));
%!assert (bounds (magic (3)), [3, 1, 2])
%!assert (bounds (magic (3), 2), [1; 3; 2])
%!test
%! x = magic (3);
%! x(2,3) = NaN;
%! assert (bounds (x), [3, 1, 2]);
%! assert (bounds (x, "omitnan"), [3, 1, 2]);
%! assert (bounds (x, "includenan"), [3, 1, NaN]);
%! assert (bounds (x, 2), [1; 3; 2]);
%! assert (bounds (x, 2, "omitnan"), [1; 3; 2]);
%! assert (bounds (x, 2, "includenan"), [1; NaN; 2]);
%!test
%! x = reshape (1:27, [3, 3, 3]);
%! [s,l] = bounds (x, 3);
%! assert (s, x(:,:,1));
%! assert (l, x(:,:,3));
## Test input validation
%!error <Invalid call> bounds ()
%!error <X must be a numeric> bounds (['A'; 'B'])
%!error <DIM must be an integer> bounds (1, ones (2,2))
%!error <DIM must be an integer> bounds (1, 1.5)
%!error <DIM must be .* a valid dimension> bounds (1, 0)
|
