Mercurial > octave-nkf

annotate scripts/general/randi.m @ 12639:4d777e05d47c stable

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
doc: Review and update documentation for "Matrix Manipulation" chapter. * matrix.txi, arrayfun.m, blkdiag.m, fliplr.m, flipud.m, logspace.m, postpad.m, prepad.m, randi.m, repmat.m, rot90.m, rotdim.m, shiftdim.m, sortrows.m, vech.m, xor.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, pascal.m, rosser.m, sylvester_matrix.m, toeplitz.m, vander.m, wilkinson.m, bsxfun.cc, find.cc, lookup.cc, rand.cc, tril.cc, data.cc, arrayfun.m, blkdiag.m, fliplr.m, flipud.m, logspace.m, postpad.m, prepad.m, randi.m, repmat.m, rot90.m, rotdim.m, shiftdim.m, sortrows.m, vech.m, xor.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, pascal.m, rosser.m, sylvester_matrix.m, toeplitz.m, vander.m, wilkinson.m, bsxfun.cc (bsxfun), find.cc (find), lookup.cc (lookup), rand.cc (rand, randn, rande, randg, randp), tril.cc (triu), data.cc (all, any, horzcat, vertcat, cat, permute, ipermute, ones, zeros, eye, linspace, resize, reshape, issorted, diff): Improve docstrings
author Rik <octave@nomad.inbox5.com>
date Sun, 01 May 2011 08:55:15 -0700
parents c792872f8942
children 72c96de7a403
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
11523
fd0a3ac60b0e update copyright notices
John W. Eaton <jwe@octave.org>
parents: 10898
diff changeset
1 ## Copyright (C) 2010-2011 Rik Wehbring
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
2 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
3 ## This file is part of Octave.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
4 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
7 ## the Free Software Foundation; either version 3 of the License, or (at
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
8 ## your option) any later version.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
9 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
13 ## General Public License for more details.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
14 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, see
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
17 ## <http://www.gnu.org/licenses/>.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
18
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
19 ## -*- texinfo -*-
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
20 ## @deftypefn {Function File} {} randi (@var{imax})
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
21 ## @deftypefnx {Function File} {} randi (@var{imax}, @var{n})
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
22 ## @deftypefnx {Function File} {} randi (@var{imax}, @var{m}, @var{n}, @dots{})
12639
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter.
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
23 ## @deftypefnx {Function File} {} randi ([@var{imin} @var{imax}], @dots{})
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
24 ## @deftypefnx {Function File} {} randi (@dots{}, "@var{class}")
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
25 ## Return random integers in the range 1:@var{imax}.
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
26 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
27 ## Additional arguments determine the shape of the return matrix. When no
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
28 ## arguments are specified a single random integer is returned. If one
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
29 ## argument @var{n} is specified then a square matrix @w{(@var{n} x @var{n})} is
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
30 ## returned. Two or more arguments will return a multi-dimensional
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
31 ## matrix @w{(@var{m} x @var{n} x @dots{})}.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
32 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
33 ## The integer range may optionally be described by a two element matrix
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
34 ## with a lower and upper bound in which case the returned integers will be
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
35 ## on the interval @w{[@var{imin}, @var{imax}]}.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
36 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
37 ## The optional argument "@var{class}" will return a matrix of the requested
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
38 ## type. The default is "double".
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
39 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
40 ## The following example returns 150 integers in the range 1-10.
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
41 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
42 ## @example
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
43 ## ri = randi (10, 150, 1);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
44 ## @end example
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
45 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
46 ## Implementation Note: @code{randi} relies internally on @code{rand} which
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
47 ## uses class "double" to represent numbers. This limits the maximum
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
48 ## integer (@var{imax}) and range (@var{imax} - @var{imin}) to the value
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
49 ## returned by the @code{bitmax} function. For IEEE floating point numbers
12639
4d777e05d47c doc: Review and update documentation for "Matrix Manipulation" chapter.
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
50 ## this value is @w{@math{2^{53} - 1}}.
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
51 ##
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
52 ## @seealso{rand}
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
53 ## @end deftypefn
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
54
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
55 ## Author: Rik Wehbring
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
56
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
57 function ri = randi (bounds, varargin)
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
58
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
59 if (nargin < 1)
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
60 print_usage();
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
61 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
62
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
63 if (! (isnumeric (bounds) && isreal (bounds)))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
64 error ("randi: IMIN and IMAX must be real numeric bounds");
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
65 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
66
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
67 if (isscalar (bounds))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
68 imin = 1;
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
69 imax = fix (bounds);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
70 if (imax < 1)
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
71 error ("randi: require IMAX >= 1");
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
72 endif
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
73 else
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
74 imin = fix (bounds(1));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
75 imax = fix (bounds(2));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
76 if (imax < imin)
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
77 error ("randi: require IMIN <= IMAX");
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
78 endif
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
79 endif
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
80
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
81 if (nargin > 1 && ischar (varargin{end}))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
82 rclass = varargin{end};
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
83 varargin(end) = [];
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
84 else
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
85 rclass = "double";
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
86 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
87
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
88 if (strfind (rclass, "int"))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
89 if (imax > intmax (rclass))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
90 error ("randi: require IMAX < intmax (CLASS)");
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
91 endif
10898
4a2dabfb078b randi.m: Check IMAX for class "single" numbers
Rik <octave@nomad.inbox5.com>
parents: 10892
diff changeset
92 elseif (strcmp (rclass, "single"))
4a2dabfb078b randi.m: Check IMAX for class "single" numbers
Rik <octave@nomad.inbox5.com>
parents: 10892
diff changeset
93 if (imax > bitmax (rclass))
4a2dabfb078b randi.m: Check IMAX for class "single" numbers
Rik <octave@nomad.inbox5.com>
parents: 10892
diff changeset
94 error ("randi: require IMAX < bitmax (CLASS)");
4a2dabfb078b randi.m: Check IMAX for class "single" numbers
Rik <octave@nomad.inbox5.com>
parents: 10892
diff changeset
95 endif
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
96 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
97 ## Limit set by use of class double in rand()
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
98 if (imax > bitmax)
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
99 error ("randi: maximum integer IMAX must be smaller than bitmax ()");
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
100 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
101 if ((imax - imin) > bitmax)
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
102 error ("randi: maximum integer range must be smaller than bitmax ()");
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
103 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
104
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
105
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
106 ri = imin + floor ( (imax-imin+1)*rand (varargin{:}) );
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
107
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
108 if (! strcmp (rclass, "double"))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
109 ri = cast (ri, rclass);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
110 endif
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
111
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
112 endfunction
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
113
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
114 %!test
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
115 %! ri = randi (10, 1000, 1);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
116 %! assert(isequal(ri, fix (ri)));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
117 %! assert(min(ri) == 1);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
118 %! assert(max(ri) == 10);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
119 %! assert(rows(ri) == 1000);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
120 %! assert(columns(ri) == 1);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
121 %! assert(strcmp (class (ri), "double"));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
122 %!test
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
123 %! ri = randi ([-5, 10], 1000, 1, "int8");
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
124 %! assert(isequal(ri, fix (ri)));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
125 %! assert(min(ri) == -5);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
126 %! assert(max(ri) == 10);
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
127 %! assert(strcmp (class (ri), "int8"));
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
128 %!
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
129 %!assert(size (randi(10, 3,1,2)) == [3, 1, 2])
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
130
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
131 %% Test input validation
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
132 %!error(randi())
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
133 %!error(randi("test"))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
134 %!error(randi(10+2i))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
135 %!error(randi(0))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
136 %!error(randi([10, 1]))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
137 %!error(randi(256, "uint8"))
10898
4a2dabfb078b randi.m: Check IMAX for class "single" numbers
Rik <octave@nomad.inbox5.com>
parents: 10892
diff changeset
138 %!error(randi(2^25, "single"))
10892
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
139 %!error(randi(bitmax() + 1))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
140 %!error(randi([-1, bitmax()]))
20ce631f0f12 Add new randi function for random integers.
Rik <octave@nomad.inbox5.com>
parents:
diff changeset
141