annotate scripts/statistics/distributions/trnd.m @ 20852:516bb87ea72e

2015 Code Sprint: remove class of function from docstring for all m-files.
author Rik <rik@octave.org>
date Sat, 12 Dec 2015 07:31:00 -0800
parents 9fc020886ae9
children bac0d6f07a3e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
14138
72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
parents: 13171
diff changeset
1 ## Copyright (C) 2012 Rik Wehbring
19697
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents: 19593
diff changeset
2 ## Copyright (C) 1995-2015 Kurt Hornik
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
3 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
4 ## This file is part of Octave.
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
5 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
6 ## Octave is free software; you can redistribute it and/or modify it
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
7 ## under the terms of the GNU General Public License as published by
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7007
diff changeset
8 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7007
diff changeset
9 ## your option) any later version.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
10 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
11 ## Octave is distributed in the hope that it will be useful, but
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
14 ## General Public License for more details.
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
15 ##
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
16 ## You should have received a copy of the GNU General Public License
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7007
diff changeset
17 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7007
diff changeset
18 ## <http://www.gnu.org/licenses/>.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
19
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
20 ## -*- texinfo -*-
20852
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files.
Rik <rik@octave.org>
parents: 19833
diff changeset
21 ## @deftypefn {} {} trnd (@var{n})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files.
Rik <rik@octave.org>
parents: 19833
diff changeset
22 ## @deftypefnx {} {} trnd (@var{n}, @var{r})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files.
Rik <rik@octave.org>
parents: 19833
diff changeset
23 ## @deftypefnx {} {} trnd (@var{n}, @var{r}, @var{c}, @dots{})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files.
Rik <rik@octave.org>
parents: 19833
diff changeset
24 ## @deftypefnx {} {} trnd (@var{n}, [@var{sz}])
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
25 ## Return a matrix of random samples from the t (Student) distribution with
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
26 ## @var{n} degrees of freedom.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
27 ##
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
28 ## When called with a single size argument, return a square matrix with
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
29 ## the dimension specified. When called with more than one scalar argument the
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
30 ## first two arguments are taken as the number of rows and columns and any
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
31 ## further arguments specify additional matrix dimensions. The size may also
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
32 ## be specified with a vector of dimensions @var{sz}.
19593
446c46af4b42 strip trailing whitespace from most source files
John W. Eaton <jwe@octave.org>
parents: 17744
diff changeset
33 ##
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
34 ## If no size arguments are given then the result matrix is the size of
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
35 ## @var{n}.
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
36 ## @end deftypefn
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
37
5428
2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe]
jwe
parents: 5411
diff changeset
38 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
39 ## Description: Random deviates from the t distribution
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
40
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
41 function rnd = trnd (n, varargin)
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
42
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
43 if (nargin < 1)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5482
diff changeset
44 print_usage ();
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
45 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
46
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
47 if (nargin == 1)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
48 sz = size (n);
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
49 elseif (nargin == 2)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
50 if (isscalar (varargin{1}) && varargin{1} >= 0)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
51 sz = [varargin{1}, varargin{1}];
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
52 elseif (isrow (varargin{1}) && all (varargin{1} >= 0))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
53 sz = varargin{1};
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
54 else
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
55 error ("trnd: dimension vector must be row vector of non-negative integers");
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
56 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
57 elseif (nargin > 2)
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
58 if (any (cellfun (@(x) (! isscalar (x) || x < 0), varargin)))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
59 error ("trnd: dimensions must be non-negative integers");
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
60 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
61 sz = [varargin{:}];
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
62 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
63
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
64 if (! isscalar (n) && ! isequal (size (n), sz))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
65 error ("trnd: N must be scalar or of size SZ");
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
66 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
67
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
68 if (iscomplex (n))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
69 error ("trnd: N must not be complex");
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
70 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
71
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
72 if (isa (n, "single"))
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
73 cls = "single";
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
74 else
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
75 cls = "double";
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
76 endif
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
77
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
78 if (isscalar (n))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
79 if ((n > 0) && (n < Inf))
14683
57569a35765c Simplify class handling ('single' vs. 'double') for statistical distribution random functions.
Rik <octave@nomad.inbox5.com>
parents: 14363
diff changeset
80 rnd = randn (sz, cls) ./ sqrt (2*randg (n/2, sz, cls) / n);
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
81 else
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
82 rnd = NaN (sz, cls);
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
83 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
84 else
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
85 rnd = NaN (sz, cls);
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
86
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
87 k = (n > 0) & (n < Inf);
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
88 rnd(k) = randn (sum (k(:)), 1, cls) ...
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
89 ./ sqrt (2*randg (n(k)/2, cls) ./ n(k))(:);
5410
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
90 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
91
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe]
jwe
parents:
diff changeset
92 endfunction
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
93
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
94
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
95 %!assert (size (trnd (2)), [1, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
96 %!assert (size (trnd (ones (2,1))), [2, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
97 %!assert (size (trnd (ones (2,2))), [2, 2])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
98 %!assert (size (trnd (1, 3)), [3, 3])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
99 %!assert (size (trnd (1, [4 1])), [4, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
100 %!assert (size (trnd (1, 4, 1)), [4, 1])
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
101
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
102 ## Test class of input preserved
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
103 %!assert (class (trnd (1)), "double")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
104 %!assert (class (trnd (single (1))), "single")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
105 %!assert (class (trnd (single ([1 1]))), "single")
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
106
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
107 ## Test input validation
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
108 %!error trnd ()
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
109 %!error trnd (1, -1)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
110 %!error trnd (1, ones (2))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
111 %!error trnd (i)
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
112 %!error trnd (1, [2 -1 2])
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
113 %!error trnd (1, 2, ones (2))
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
114 %!error trnd (1, 2, -1)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
115 %!error trnd (ones (2,2), 3)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
116 %!error trnd (ones (2,2), [3, 2])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
117 %!error trnd (ones (2,2), 2, 3)
13171
19b9f17d22af Overhaul of statistical distribution functions
Rik <octave@nomad.inbox5.com>
parents: 11587
diff changeset
118