octave-lyh: scripts/statistics/distributions/tinv.m annotate

annotate scripts/statistics/distributions/tinv.m @ 16447:e3b33a7530bc

improve encapsulation of history window object * history-dockwidget.h, history-dockwidget.cc (history_dock_widget::history_dock_widget): Set status tip here. Connect history_dock_widget::information signal to main_window::report_status_message. Connect history_dock_widget::command_double_clicked signal to main_window::handle_command_double_clicked. (history_dock_widget::connect_visibility_changed, history_dock_widget::focus, history_dock_widget::handle_visibility): New functions. * main-window.h, main-window.cc (main_window::history_window): Rename from _history_dock_widget. Don't use a pointer. Change all uses. (main_window::main_window): Initialize it here. (main_window::~main_window): Don't delete _history_dock_widget. (main_window::focus_history_window_signal): New signal. (main_window::focus_history_window): Rename from main_window::focus_command_history. Emit focus_history_window_signal instead of performing actions here. (main_window::handle_command_history_visible): Delete. (main_window::connect_visibility_changed): Call history_window.connect_visibility_changed instead of performing actions here. (main_window::construct): Don't create _history_dock_widget. Adapt signal/slot connections for new history_window object.

author	John W. Eaton <jwe@octave.org>
date	Sat, 06 Apr 2013 16:46:14 -0400
parents	f3d52523cde1
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
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: 6046 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: 6046 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: 6046 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: 6046 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 --
5411 bee21f388110 [project @ 2005-07-13 17:53:44 by jwe] jwe parents: 5410 diff changeset	21 ## @deftypefn {Function File} {} tinv (@var{x}, @var{n})
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	22 ## For each element of @var{x}, compute the quantile (the inverse of
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	23 ## the CDF) at @var{x} of the t (Student) distribution with @var{n}
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	24 ## degrees of freedom. This function is analogous to looking in a table
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	25 ## for the t-value of a single-tailed distribution.
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	26 ## @end deftypefn
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	27
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	28 ## For very large n, the "correct" formula does not really work well,
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	29 ## and the quantiles of the standard normal distribution are used
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	30 ## directly.
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	31
5428 2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe] jwe parents: 5411 diff changeset	32 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	33 ## Description: Quantile function of the t distribution
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	34
5411 bee21f388110 [project @ 2005-07-13 17:53:44 by jwe] jwe parents: 5410 diff changeset	35 function inv = tinv (x, n)
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	36
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	37 if (nargin != 2)
6046 34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe] jwe parents: 5482 diff changeset	38 print_usage ();
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	39 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	40
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	41 if (!isscalar (n))
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	42 [retval, x, n] = common_size (x, n);
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	43 if (retval > 0)
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	44 error ("tinv: X and N must be of common size or scalars");
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 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	47
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	48 if (iscomplex (x) \|\| iscomplex (n))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	49 error ("tinv: X and N must not be complex");
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	50 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	51
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	52 if (isa (x, "single") \|\| isa (n, "single"))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	53 inv = NaN (size (x), "single");
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	54 else
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	55 inv = NaN (size (x));
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	56 endif
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	57
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	58 k = (x == 0) & (n > 0);
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	59 inv(k) = -Inf;
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	60
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	61 k = (x == 1) & (n > 0);
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	62 inv(k) = Inf;
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	63
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	64 if (isscalar (n))
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	65 k = (x > 0) & (x < 1);
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	66 if ((n > 0) && (n < 10000))
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	67 inv(k) = (sign (x(k) - 1/2)
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	68 .* sqrt (n * (1 ./ betainv (2*min (x(k), 1 - x(k)),
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	69 n/2, 1/2) - 1)));
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	70 elseif (n >= 10000)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	71 ## For large n, use the quantiles of the standard normal
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	72 inv(k) = stdnormal_inv (x(k));
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	73 endif
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	74 else
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	75 k = (x > 0) & (x < 1) & (n > 0) & (n < 10000);
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	76 inv(k) = (sign (x(k) - 1/2)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	77 .* sqrt (n(k) .* (1 ./ betainv (2*min (x(k), 1 - x(k)),
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	78 n(k)/2, 1/2) - 1)));
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	79
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	80 ## For large n, use the quantiles of the standard normal
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	81 k = (x > 0) & (x < 1) & (n >= 10000);
5410 56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	82 inv(k) = stdnormal_inv (x(k));
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
56e066f5efc1 [project @ 2005-07-13 17:43:35 by jwe] jwe parents: diff changeset	85 endfunction
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	86
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	87
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	88 %!shared x
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	89 %! x = [-1 0 0.5 1 2];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	90 %!assert (tinv (x, ones (1,5)), [NaN -Inf 0 Inf NaN])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	91 %!assert (tinv (x, 1), [NaN -Inf 0 Inf NaN], eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	92 %!assert (tinv (x, [1 0 NaN 1 1]), [NaN NaN NaN Inf NaN], eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	93 %!assert (tinv ([x(1:2) NaN x(4:5)], 1), [NaN -Inf NaN Inf NaN])
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	94
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	95 %% 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	96 %!assert (tinv ([x, NaN], 1), [NaN -Inf 0 Inf NaN NaN], eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	97 %!assert (tinv (single ([x, NaN]), 1), single ([NaN -Inf 0 Inf NaN NaN]), eps ("single"))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	98 %!assert (tinv ([x, NaN], single (1)), single ([NaN -Inf 0 Inf NaN NaN]), eps ("single"))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	99
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	100 %% Test input validation
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	101 %!error tinv ()
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	102 %!error tinv (1)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	103 %!error tinv (1,2,3)
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	104 %!error tinv (ones (3), ones (2))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	105 %!error tinv (ones (2), ones (3))
13171 19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	106 %!error tinv (i, 2)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	107 %!error tinv (2, i)
19b9f17d22af Overhaul of statistical distribution functions Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	108

Mercurial > hg > octave-lyh

annotate scripts/statistics/distributions/tinv.m @ 16447:e3b33a7530bc