octave-lyh: scripts/statistics/distributions/cauchy

annotate scripts/statistics/distributions/cauchy_rnd.m @ 16506:8a4960f2c7c3

gui: allow running files from the file browser * files-dock-widget.cc(constructor): connect run_file_signal (contextmenu_requested): add menu to run the selected file (contextmenu_run): new slot for running the selected file (run_file_signal): new signal * files-dock-widget.h: new function contextmenu_run, new signal run_file_signal

author	Torsten <ttl@justmail.de>
date	Fri, 12 Apr 2013 22:20:39 +0200
parents	57569a35765c
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
72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 13171 diff changeset	2 ## Copyright (C) 1995-2012 Kurt Hornik
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	3 ##
3922 38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe] jwe parents: 3457 diff changeset	4 ## This file is part of Octave.
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe] jwe parents: 3457 diff changeset	5 ##
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe] jwe parents: 3457 diff changeset	6 ## Octave is free software; you can redistribute it and/or modify it
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe] jwe parents: 3457 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.
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	10 ##
3922 38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe] jwe parents: 3457 diff changeset	11 ## Octave is distributed in the hope that it will be useful, but
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	14 ## General Public License for more details.
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	15 ##
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 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/>.
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	19
3456 434790acb067 [project @ 2000-01-19 06:58:51 by jwe] jwe parents: 3426 diff changeset	20 ## -- texinfo --
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	21 ## @deftypefn {Function File} {} cauchy_rnd (@var{location}, @var{scale})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	22 ## @deftypefnx {Function File} {} cauchy_rnd (@var{location}, @var{scale}, @var{r})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	23 ## @deftypefnx {Function File} {} cauchy_rnd (@var{location}, @var{scale}, @var{r}, @var{c}, @dots{})
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	24 ## @deftypefnx {Function File} {} cauchy_rnd (@var{location}, @var{scale}, [@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 Cauchy distribution with
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	26 ## parameters @var{location} and @var{scale}.
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 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}.
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	33 ##
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 common size of
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	35 ## @var{location} and @var{scale}.
3456 434790acb067 [project @ 2000-01-19 06:58:51 by jwe] jwe parents: 3426 diff changeset	36 ## @end deftypefn
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	37
5428 2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe] jwe parents: 5307 diff changeset	38 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
3456 434790acb067 [project @ 2000-01-19 06:58:51 by jwe] jwe parents: 3426 diff changeset	39 ## Description: Random deviates from the Cauchy distribution
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 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 = cauchy_rnd (location, scale, varargin)
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	42
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	43 if (nargin < 2)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	44 print_usage ();
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	45 endif
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	46
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	47 if (!isscalar (location) \|\| !isscalar (scale))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	48 [retval, location, scale] = common_size (location, scale);
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	49 if (retval > 0)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	50 error ("cauchy_rnd: LOCATION and SCALE must be of common size or scalars");
4854 4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	51 endif
4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	52 endif
4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	53
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	54 if (iscomplex (location) \|\| iscomplex (scale))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	55 error ("cauchy_rnd: LOCATION and SCALE must not be complex");
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	56 endif
4856 c89b9abf2ffd [project @ 2004-04-08 03:24:12 by jwe] jwe parents: 4854 diff changeset	57
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	58 if (nargin == 2)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	59 sz = size (location);
4854 4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	60 elseif (nargin == 3)
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	61 if (isscalar (varargin{1}) && varargin{1} >= 0)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	62 sz = [varargin{1}, varargin{1}];
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	63 elseif (isrow (varargin{1}) && all (varargin{1} >= 0))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	64 sz = varargin{1};
4854 4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	65 else
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	66 error ("cauchy_rnd: dimension vector must be row vector of non-negative integers");
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	67 endif
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	68 elseif (nargin > 3)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	69 if (any (cellfun (@(x) (!isscalar (x) \|\| x < 0), varargin)))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	70 error ("cauchy_rnd: dimensions must be non-negative integers");
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	71 endif
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	72 sz = [varargin{:}];
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	73 endif
4856 c89b9abf2ffd [project @ 2004-04-08 03:24:12 by jwe] jwe parents: 4854 diff changeset	74
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	75 if (!isscalar (location) && !isequal (size (location), sz))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	76 error ("cauchy_rnd: LOCATION and SCALE must be scalar or of size SZ");
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	77 endif
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	78
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	79 if (isa (location, "single") \|\| isa (scale, "single"))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	80 cls = "single";
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 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 cls = "double";
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	83 endif
3426 f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe] jwe parents: 3191 diff changeset	84
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11523 diff changeset	85 if (isscalar (location) && isscalar (scale))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	86 if (!isinf (location) && (scale > 0) && (scale < Inf))
14683 57569a35765c Simplify class handling ('single' vs. 'double') for statistical distribution random functions. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	87 rnd = location - cot (pi * rand (sz, cls)) * scale;
4854 4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	88 else
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	89 rnd = NaN (sz, cls);
4854 4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	90 endif
4b0f3b055331 [project @ 2004-04-07 02:37:05 by jwe] jwe parents: 4030 diff changeset	91 else
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	92 rnd = NaN (sz, cls);
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 k = !isinf (location) & (scale > 0) & (scale < Inf);
14683 57569a35765c Simplify class handling ('single' vs. 'double') for statistical distribution random functions. Rik <octave@nomad.inbox5.com> parents: 14363 diff changeset	95 rnd(k) = location(k)(:) - cot (pi * rand (sum (k(:)), 1, cls)) .* scale(k)(:);
3191 e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	96 endif
e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	97
e4f4b2d26ee9 [project @ 1998-10-23 05:43:59 by jwe] jwe parents: diff changeset	98 endfunction
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	99
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	100
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	101 %!assert (size (cauchy_rnd (1,2)), [1, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	102 %!assert (size (cauchy_rnd (ones (2,1), 2)), [2, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	103 %!assert (size (cauchy_rnd (ones (2,2), 2)), [2, 2])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	104 %!assert (size (cauchy_rnd (1, 2*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	105 %!assert (size (cauchy_rnd (1, 2*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	106 %!assert (size (cauchy_rnd (1, 2, 3)), [3, 3])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	107 %!assert (size (cauchy_rnd (1, 2, [4 1])), [4, 1])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	108 %!assert (size (cauchy_rnd (1, 2, 4, 1)), [4, 1])
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	109
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	110 %% 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	111 %!assert (class (cauchy_rnd (1, 2)), "double")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	112 %!assert (class (cauchy_rnd (single (1), 2)), "single")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	113 %!assert (class (cauchy_rnd (single ([1 1]), 2)), "single")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	114 %!assert (class (cauchy_rnd (1, single (2))), "single")
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	115 %!assert (class (cauchy_rnd (1, single ([2 2]))), "single")
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	116
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	117 %% Test input validation
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	118 %!error cauchy_rnd ()
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	119 %!error cauchy_rnd (1)
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	120 %!error cauchy_rnd (ones (3), ones (2))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	121 %!error cauchy_rnd (ones (2), ones (3))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	122 %!error cauchy_rnd (i, 2)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	123 %!error cauchy_rnd (2, i)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	124 %!error cauchy_rnd (1,2, -1)
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	125 %!error cauchy_rnd (1,2, ones (2))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	126 %!error cauchy_rnd (1,2, [2 -1 2])
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	127 %!error cauchy_rnd (1,2, 1, ones (2))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	128 %!error cauchy_rnd (1,2, 1, -1)
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	129 %!error cauchy_rnd (ones (2,2), 2, 3)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	130 %!error cauchy_rnd (ones (2,2), 2, [3, 2])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	131 %!error cauchy_rnd (ones (2,2), 2, 2, 3)
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11587 diff changeset	132

Mercurial > hg > octave-lyh

annotate scripts/statistics/distributions/cauchy_rnd.m @ 16506:8a4960f2c7c3