octave-nkf: scripts/statistics/distributions/trnd.m annotate

annotate scripts/statistics/distributions/trnd.m @ 20830:b65888ec820e draft default tip gccjit

dmalcom gcc jit import

author	Stefan Mahr <dac922@gmx.de>
date	Fri, 27 Feb 2015 16:59:36 +0100
parents	9fc020886ae9
children

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
19898 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 19790 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 --
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	21 ## @deftypefn {Function File} {} trnd (@var{n})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	22 ## @deftypefnx {Function File} {} trnd (@var{n}, @var{r})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	23 ## @deftypefnx {Function File} {} trnd (@var{n}, @var{r}, @var{c}, @dots{})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	24 ## @deftypefnx {Function File} {} trnd (@var{n}, [@var{sz}])
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}.
19790 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)
20038 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19898 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
20038 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19898 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);
20038 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19898 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: 19898 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
20038 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19898 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
20038 9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions. Rik <rik@octave.org> parents: 19898 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

Mercurial > hg > octave-nkf

annotate scripts/statistics/distributions/trnd.m @ 20830:b65888ec820e draft default tip gccjit