octave-nkf: scripts/linear-algebra/planerot.m annotate

annotate scripts/linear-algebra/planerot.m @ 20815:a260a6acb70f

fix test failures introduced by a22d8a2eb0e5 * scripts/ode/private/integrate_adaptive.m: fix stepping backwards, fix invocation of OutputFcn, fix text of some error messages * scripts/ode/private/integrate_const.m: remove use of option OutputSave * scripts/ode/private/integrate_n_steps.m: remove use of option OutputSave

author	Carlo de Falco <carlo.defalco@polimi.it>
date	Sun, 11 Oct 2015 23:09:01 +0200
parents	4197fc428c7d
children

rev	line source
19898 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 19361 diff changeset	1 ## Copyright (C) 2008-2015 David Bateman
7653 d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	2 ##
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	3 ## This file is part of Octave.
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	4 ##
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	5 ## Octave is free software; you can redistribute it and/or modify it
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	6 ## under the terms of the GNU General Public License as published by
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	7 ## the Free Software Foundation; either version 3 of the License, or (at
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	8 ## your option) any later version.
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	9 ##
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	10 ## Octave is distributed in the hope that it will be useful, but
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	13 ## General Public License for more details.
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	14 ##
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	15 ## You should have received a copy of the GNU General Public License
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	16 ## along with Octave; see the file COPYING. If not, see
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	17 ## <http://www.gnu.org/licenses/>.
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	18
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	19 ## -- texinfo --
19361 1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	20 ## @deftypefn {Function File} {[@var{G}, @var{y}] =} planerot (@var{x})
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	21 ## Given a two-element column vector, return the
7653 d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	22 ## @tex
7989 23c248d415b5 Various doc fixes. Readd cellidx David Bateman <dbateman@free.fr> parents: 7653 diff changeset	23 ## $2 \times 2$ orthogonal matrix
7653 d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	24 ## @end tex
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	25 ## @ifnottex
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	26 ## 2 by 2 orthogonal matrix
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	27 ## @end ifnottex
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	28 ## @var{G} such that
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	29 ## @code{@var{y} = @var{g} * @var{x}} and @code{@var{y}(2) = 0}.
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	30 ## @seealso{givens}
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	31 ## @end deftypefn
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	32
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	33 function [G, y] = planerot (x)
19361 1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	34
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	35 if (nargin != 1)
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	36 print_usage ();
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	37 elseif (! (isvector (x) && numel (x) == 2))
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	38 error ("planerot: X must be a 2-element vector");
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	39 endif
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	40
7653 d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	41 G = givens (x(1), x(2));
d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	42 y = G * x(:);
19361 1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	43
7653 d9eb2aec6d84 Add the planerot function David Bateman <dbateman@free.fr> parents: diff changeset	44 endfunction
13048 c5c94b63931f codesprint: linear algebra tests: cross, housh, planerot, qzhess, rref Roman Belov <romblv@gmail.com> parents: 11523 diff changeset	45
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	46
13048 c5c94b63931f codesprint: linear algebra tests: cross, housh, planerot, qzhess, rref Roman Belov <romblv@gmail.com> parents: 11523 diff changeset	47 %!test
c5c94b63931f codesprint: linear algebra tests: cross, housh, planerot, qzhess, rref Roman Belov <romblv@gmail.com> parents: 11523 diff changeset	48 %! x = [3 4];
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	49 %! [g y] = planerot (x);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	50 %! assert (g, [x(1) x(2); -x(2) x(1)] / sqrt (x(1)^2 + x(2)^2), 2e-8);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	51 %! assert (y(2), 0, 2e-8);
13048 c5c94b63931f codesprint: linear algebra tests: cross, housh, planerot, qzhess, rref Roman Belov <romblv@gmail.com> parents: 11523 diff changeset	52
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	53 %!error planerot ()
19361 1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	54 %!error planerot (1,2)
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	55 %!error <X must be a 2-element vector> planerot (ones (2,2))
1faae07afbd8 Overhaul givens and planerot functions. Rik <rik@octave.org> parents: 17744 diff changeset	56 %!error <X must be a 2-element vector> planerot ([0 0 0])
13048 c5c94b63931f codesprint: linear algebra tests: cross, housh, planerot, qzhess, rref Roman Belov <romblv@gmail.com> parents: 11523 diff changeset	57

Mercurial > hg > octave-nkf

annotate scripts/linear-algebra/planerot.m @ 20815:a260a6acb70f