octave: scripts/ode/ode45.m annotate

annotate scripts/ode/ode45.m @ 22639:7efa2d0e22c9 stable

More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. * ode23.m, ode45.m: Call OutputFcn with null inputs when using "done" flag. Rewrite BIST OutputFcn fout to follow expected conventions. * integrate_adaptive.m: Rename variable pltret to stop_solve. Fix issue where only final result of OutputFcn could stop integration. * odeplot.m: Rewrite docstring. Rename output variable to stop_solve. Always return false from function since odeplot never interrupts integration. Set x limits of plot in "init" for better performance.

author	Rik <rik@octave.org>
date	Tue, 18 Oct 2016 11:31:13 -0700
parents	869c02fde46c
children	fb8b23754d76

rev	line source
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	1 ## Copyright (C) 2016 Carlo de Falco
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	2 ## Copyright (C) 2016 Francesco Faccio <francesco.faccio@mail.polimi.it>
22323 bac0d6f07a3e maint: Update copyright notices for 2016. John W. Eaton <jwe@octave.org> parents: 22299 diff changeset	3 ## Copyright (C) 2014-2016 Jacopo Corno <jacopo.corno@gmail.com>
bac0d6f07a3e maint: Update copyright notices for 2016. John W. Eaton <jwe@octave.org> parents: 22299 diff changeset	4 ## Copyright (C) 2013-2016 Roberto Porcu' <roberto.porcu@polimi.it>
bac0d6f07a3e maint: Update copyright notices for 2016. John W. Eaton <jwe@octave.org> parents: 22299 diff changeset	5 ## Copyright (C) 2006-2012 Thomas Treichl <treichl@users.sourceforge.net>
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	6 ##
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	7 ## This file is part of Octave.
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	8 ##
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	9 ## Octave is free software; you can redistribute it and/or modify it
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	10 ## under the terms of the GNU General Public License as published by
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	11 ## the Free Software Foundation; either version 3 of the License, or (at
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	12 ## your option) any later version.
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	13 ##
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	14 ## Octave is distributed in the hope that it will be useful, but
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	15 ## WITHOUT ANY WARRANTY; without even the implied warranty of
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	16 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	17 ## General Public License for more details.
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	18 ##
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	19 ## You should have received a copy of the GNU General Public License
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	20 ## along with Octave; see the file COPYING. If not, see
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	21 ## <http://www.gnu.org/licenses/>.
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	22
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	23 ## -- texinfo --
20852 516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20719 diff changeset	24 ## @deftypefn {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20719 diff changeset	25 ## @deftypefnx {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init}, @var{ode_opt})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20719 diff changeset	26 ## @deftypefnx {} {[@var{t}, @var{y}, @var{te}, @var{ye}, @var{ie}] =} ode45 (@dots{})
516bb87ea72e 2015 Code Sprint: remove class of function from docstring for all m-files. Rik <rik@octave.org> parents: 20719 diff changeset	27 ## @deftypefnx {} {@var{solution} =} ode45 (@dots{})
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	28 ##
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	29 ## Solve a set of non-stiff Ordinary Differential Equations (non-stiff ODEs)
20719 d903cccb8de8 doc: Periodic spellcheck of documentation. Rik <rik@octave.org> parents: 20634 diff changeset	30 ## with the well known explicit @nospell{Dormand-Prince} method of order 4.
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	31 ##
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	32 ## @var{fun} is a function handle, inline function, or string containing the
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	33 ## name of the function that defines the ODE: @code{y' = f(t,y)}. The function
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	34 ## must accept two inputs where the first is time @var{t} and the second is a
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	35 ## column vector of unknowns @var{y}.
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	36 ##
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	37 ## @var{trange} specifies the time interval over which the ODE will be
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	38 ## evaluated. Typically, it is a two-element vector specifying the initial and
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	39 ## final times (@code{[tinit, tfinal]}). If there are more than two elements
25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	40 ## then the solution will also be evaluated at these intermediate time
22594 b8d525710075 cleanup ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22593 diff changeset	41 ## instances.
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	42 ##
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	43 ## By default, @code{ode45} uses an adaptive timestep with the
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	44 ## @code{integrate_adaptive} algorithm. The tolerance for the timestep
22625 081a201b77c7 Clean up ode options implementation to follow Octave coding standards. Carlo de Falco <carlo.defalco@polimi.it> parents: 22605 diff changeset	45 ## computation may be changed by using the options @qcode{"RelTol"}
22594 b8d525710075 cleanup ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22593 diff changeset	46 ## and @qcode{"AbsTol"}.
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	47 ##
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	48 ## @var{init} contains the initial value for the unknowns. If it is a row
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	49 ## vector then the solution @var{y} will be a matrix in which each column is
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	50 ## the solution for the corresponding initial value in @var{init}.
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	51 ##
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	52 ## The optional fourth argument @var{ode_opt} specifies non-default options to
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	53 ## the ODE solver. It is a structure generated by @code{odeset}.
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	54 ##
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	55 ## The function typically returns two outputs. Variable @var{t} is a
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	56 ## column vector and contains the times where the solution was found. The
25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	57 ## output @var{y} is a matrix in which each column refers to a different
25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	58 ## unknown of the problem and each row corresponds to a time in @var{t}.
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	59 ##
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	60 ## The output can also be returned as a structure @var{solution} which
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	61 ## has field @var{x} containing the time where the solution was evaluated and
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	62 ## field @var{y} containing the solution matrix for the times in @var{x}.
21546 f7f97d7e9294 doc: Wrap m-file docstrings to 79 characters + newline (80 total). Rik <rik@octave.org> parents: 21443 diff changeset	63 ## Use @code{fieldnames (@var{solution})} to see the other fields and
f7f97d7e9294 doc: Wrap m-file docstrings to 79 characters + newline (80 total). Rik <rik@octave.org> parents: 21443 diff changeset	64 ## additional information returned.
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	65 ##
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	66 ## If using the @qcode{"Events"} option then three additional outputs may
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	67 ## be returned. @var{te} holds the time when an Event function returned a
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	68 ## zero. @var{ye} holds the value of the solution at time @var{te}. @var{ie}
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	69 ## contains an index indicating which Event function was triggered in the case
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	70 ## of multiple Event functions.
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	71 ##
20719 d903cccb8de8 doc: Periodic spellcheck of documentation. Rik <rik@octave.org> parents: 20634 diff changeset	72 ## Example: Solve the @nospell{Van der Pol} equation
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	73 ##
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	74 ## @example
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	75 ## @group
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	76 ## fvdp = @@(@var{t},@var{y}) [@var{y}(2); (1 - @var{y}(1)^2) * @var{y}(2) - @var{y}(1)];
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	77 ## [@var{t},@var{y}] = ode45 (fvdp, [0, 20], [2, 0]);
20548 25623ef2ff4f doc: Rewrite docstrings for ode* family of functions. Rik <rik@octave.org> parents: 20543 diff changeset	78 ## @end group
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	79 ## @end example
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	80 ## @seealso{odeset, odeget, ode23}
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	81 ## @end deftypefn
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	82
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	83 function varargout = ode45 (fun, trange, init, varargin)
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	84
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	85 if (nargin < 3)
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	86 print_usage ();
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	87 endif
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	88
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	89 order = 5; # runge_kutta_45_dorpri uses local extrapolation
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	90 solver = "ode45";
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	91
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	92 if (nargin >= 4)
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	93 if (! isstruct (varargin{1}))
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	94 ## varargin{1:len} are parameters for fun
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	95 odeopts = odeset ();
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	96 funarguments = varargin;
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	97 elseif (numel (varargin) > 1)
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	98 ## varargin{1} is an ODE options structure opt
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	99 odeopts = varargin{1};
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	100 funarguments = {varargin{2:numel (varargin)}};
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	101 else # if (isstruct (varargin{1}))
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	102 odeopts = varargin{1};
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	103 funarguments = {};
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	104 endif
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	105 else # nargin == 3
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	106 odeopts = odeset ();
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	107 funarguments = {};
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	108 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	109
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	110 if (! isnumeric (trange) \|\| ! isvector (trange))
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	111 error ("Octave:invalid-input-arg",
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	112 "ode45: TRANGE must be a numeric vector");
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	113 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	114
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	115 if (numel (trange) < 2)
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	116 error ("Octave:invalid-input-arg",
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	117 "ode45: TRANGE must contain at least 2 elements");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	118 elseif (trange(1) == trange(2))
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	119 error ("Octave:invalid-input-arg",
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	120 "ode45: invalid time span, TRANGE(1) == TRANGE(2)");
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	121 else
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	122 direction = sign (trange(2) - trange(1));
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	123 endif
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	124 trange = trange(:);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	125
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	126 if (! isnumeric (init) \|\| ! isvector (init))
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	127 error ("Octave:invalid-input-arg",
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	128 "ode45: INIT must be a numeric vector");
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	129 endif
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	130 init = init(:);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	131
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	132 if (ischar (fun))
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	133 try
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	134 fun = str2func (fun);
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	135 catch
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	136 warning (lasterr);
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	137 end_try_catch
20613 27c091f4b66d allow first argument in ode45 to be a string Carlo de Falco <carlo.defalco@polimi.it> parents: 20612 diff changeset	138 endif
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	139 if (! isa (fun, "function_handle"))
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	140 error ("Octave:invalid-input-arg",
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	141 "ode45: FUN must be a valid function handle");
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	142 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	143
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	144 ## Start preprocessing, have a look which options are set in odeopts,
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	145 ## check if an invalid or unused option is set
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	146 ## FIXME: Why persistent when it is changed with every run of ode45?
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	147 persistent defaults = [];
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	148 persistent classes = [];
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	149 persistent attributes = [];
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	150
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	151 [defaults, classes, attributes] = odedefaults (numel (init),
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	152 trange(1), trange(end));
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	153
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	154 defaults = odeset (defaults, "Refine", 4);
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	155 defaults = rmfield (defaults, {"Jacobian", "JPattern", "Vectorized", ...
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	156 "MvPattern", "MassSingular", ...
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	157 "InitialSlope", "MaxOrder", "BDF"});
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	158 classes = rmfield (classes, {"Jacobian", "JPattern", "Vectorized", ...
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	159 "MvPattern", "MassSingular", ...
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	160 "InitialSlope", "MaxOrder", "BDF"});
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	161 attributes = rmfield (attributes, {"Jacobian", "JPattern", "Vectorized", ...
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	162 "MvPattern", "MassSingular", ...
22625 081a201b77c7 Clean up ode options implementation to follow Octave coding standards. Carlo de Falco <carlo.defalco@polimi.it> parents: 22605 diff changeset	163 "InitialSlope", "MaxOrder", "BDF"});
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	164
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	165 odeopts = odemergeopts ("ode45", odeopts, defaults, classes, attributes);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	166
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	167 odeopts.funarguments = funarguments;
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	168 odeopts.direction = direction;
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	169
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	170 if (! isempty (odeopts.NonNegative))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	171 if (isempty (odeopts.Mass))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	172 odeopts.havenonnegative = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	173 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	174 odeopts.havenonnegative = false;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	175 warning ("Octave:invalid-input-arg",
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	176 ['ode45: option "NonNegative" is ignored', ...
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	177 " when mass matrix is set\n"]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	178 endif
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	179 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	180 odeopts.havenonnegative = false;
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	181 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	182
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	183 if (isempty (odeopts.OutputFcn) && nargout == 0)
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	184 odeopts.OutputFcn = @odeplot;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	185 odeopts.haveoutputfunction = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	186 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	187 odeopts.haveoutputfunction = ! isempty (odeopts.OutputFcn);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	188 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	189
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	190 if (isempty (odeopts.InitialStep))
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	191 odeopts.InitialStep = odeopts.direction * ...
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	192 starting_stepsize (order, fun, trange(1), init,
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	193 odeopts.AbsTol, odeopts.RelTol,
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	194 strcmp (odeopts.NormControl, "on"),
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	195 odeopts.funarguments);
22625 081a201b77c7 Clean up ode options implementation to follow Octave coding standards. Carlo de Falco <carlo.defalco@polimi.it> parents: 22605 diff changeset	196 endif
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	197
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	198 if (! isempty (odeopts.Mass) && isnumeric (odeopts.Mass))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	199 havemasshandle = false;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	200 mass = odeopts.Mass; # constant mass
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	201 elseif (isa (odeopts.Mass, "function_handle"))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	202 havemasshandle = true; # mass defined by a function handle
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	203 else # no mass matrix - creating a diag-matrix of ones for mass
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	204 havemasshandle = false; # mass = diag (ones (length (init), 1), 0);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	205 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	206
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	207 ## Starting the initialization of the core solver ode45
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	208
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	209 if (havemasshandle) # Handle only the dynamic mass matrix,
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	210 if (! strcmp (odeopts.MStateDependence, "none"))
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	211 ### constant mass matrices have already
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	212 mass = @(t,x) odeopts.Mass (t, x, odeopts.funarguments{:});
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	213 fun = @(t,x) mass (t, x, odeopts.funarguments{:}) ...
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	214 \ fun (t, x, odeopts.funarguments{:});
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	215 else
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	216 mass = @(t) odeopts.Mass (t, odeopts.funarguments{:});
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	217 fun = @(t,x) mass (t, odeopts.funarguments{:}) ...
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	218 \ fun (t, x, odeopts.funarguments{:});
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	219 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	220 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	221
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	222 solution = integrate_adaptive (@runge_kutta_45_dorpri,
dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	223 order, fun, trange, init, odeopts);
22625 081a201b77c7 Clean up ode options implementation to follow Octave coding standards. Carlo de Falco <carlo.defalco@polimi.it> parents: 22605 diff changeset	224
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	225 ## Postprocessing, do whatever when terminating integration algorithm
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	226 if (odeopts.haveoutputfunction) # Cleanup plotter
22639 7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	227 feval (odeopts.OutputFcn, [], [], "done", odeopts.funarguments{:});
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	228 endif
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	229 if (! isempty (odeopts.Events)) # Cleanup event function handling
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	230 ode_event_handler (odeopts.Events, solution.t(end),
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	231 solution.x(end,:)', "done", odeopts.funarguments{:});
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	232 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	233
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	234 ## Print additional information if option Stats is set
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	235 if (strcmp (odeopts.Stats, "on"))
21955 0f3e875d9078 Fix statistics on solution solving for ode45, ode23 (bug #48243). jcorno <jacopo.corno@gmail.com> parents: 21634 diff changeset	236 nsteps = solution.cntloop; # cntloop from 2..end
0f3e875d9078 Fix statistics on solution solving for ode45, ode23 (bug #48243). jcorno <jacopo.corno@gmail.com> parents: 21634 diff changeset	237 nfailed = solution.cntcycles - nsteps; # cntcycl from 1..end
0f3e875d9078 Fix statistics on solution solving for ode45, ode23 (bug #48243). jcorno <jacopo.corno@gmail.com> parents: 21634 diff changeset	238 nfevals = 6 * solution.cntcycles + 1; # number of ode evaluations
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	239 ndecomps = 0; # number of LU decompositions
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	240 npds = 0; # number of partial derivatives
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	241 nlinsols = 0; # no. of linear systems solutions
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	242 ## Print cost statistics if no output argument is given
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	243 if (nargout == 0)
21634 96518f623c91 Backed out changeset dcf8922b724b Mike Miller <mtmiller@octave.org> parents: 21633 diff changeset	244 printf ("Number of successful steps: %d\n", nsteps);
96518f623c91 Backed out changeset dcf8922b724b Mike Miller <mtmiller@octave.org> parents: 21633 diff changeset	245 printf ("Number of failed attempts: %d\n", nfailed);
96518f623c91 Backed out changeset dcf8922b724b Mike Miller <mtmiller@octave.org> parents: 21633 diff changeset	246 printf ("Number of function calls: %d\n", nfevals);
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	247 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	248 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	249
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	250 if (nargout == 2)
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	251 varargout{1} = solution.t; # Time stamps are first output argument
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	252 varargout{2} = solution.x; # Results are second output argument
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	253 elseif (nargout == 1)
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	254 varargout{1}.x = solution.t; # Time stamps are saved in field x
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	255 varargout{1}.y = solution.x; # Results are saved in field y
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	256 varargout{1}.solver = solver; # Solver name is saved in field solver
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	257 if (! isempty (odeopts.Events))
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	258 varargout{1}.ie = solution.event{2}; # Index info which event occurred
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	259 varargout{1}.xe = solution.event{3}; # Time info when an event occurred
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	260 varargout{1}.ye = solution.event{4}; # Results when an event occurred
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	261 endif
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	262 if (strcmp (odeopts.Stats, "on"))
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	263 varargout{1}.stats = struct ();
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	264 varargout{1}.stats.nsteps = nsteps;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	265 varargout{1}.stats.nfailed = nfailed;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	266 varargout{1}.stats.nfevals = nfevals;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	267 varargout{1}.stats.npds = npds;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	268 varargout{1}.stats.ndecomps = ndecomps;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	269 varargout{1}.stats.nlinsols = nlinsols;
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	270 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	271 elseif (nargout == 5)
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	272 varargout = cell (1,5);
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	273 varargout{1} = solution.t;
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	274 varargout{2} = solution.x;
22593 dba5074bdc79 simplify options management in ode solvers Carlo de Falco <carlo.defalco@polimi.it> parents: 22445 diff changeset	275 if (! isempty (odeopts.Events))
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	276 varargout{3} = solution.event{3}; # Time info when an event occurred
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	277 varargout{4} = solution.event{4}; # Results when an event occurred
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	278 varargout{5} = solution.event{2}; # Index info which event occurred
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	279 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	280 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	281
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	282 endfunction
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	283
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	284
21599 f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	285 %!demo
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	286 %! ## Demonstrate convergence order for ode45
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	287 %! tol = 1e-5 ./ 10.^[0:8];
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	288 %! for i = 1 : numel (tol)
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	289 %! opt = odeset ("RelTol", tol(i), "AbsTol", realmin);
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	290 %! [t, y] = ode45 (@(t, y) -y, [0, 1], 1, opt);
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	291 %! h(i) = 1 / (numel (t) - 1);
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	292 %! err(i) = norm (y .* exp (t) - 1, Inf);
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	293 %! endfor
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	294 %!
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	295 %! ## Estimate order numerically
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	296 %! p = diff (log (err)) ./ diff (log (h))
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	297 %!
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	298 %! ## Estimate order visually
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	299 %! loglog (h, tol, "-ob",
22445 cbac595d23ac Fix %!demo blocks for ode23 and ode45 Mike Miller <mtmiller@octave.org> parents: 22323 diff changeset	300 %! h, err, "-b",
21599 f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	301 %! h, (h/h(end)) .^ 4 .* tol(end), "k--",
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	302 %! h, (h/h(end)) .^ 5 .* tol(end), "k-");
21599 f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	303 %! axis tight
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	304 %! xlabel ("h");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	305 %! ylabel ("err(h)");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	306 %! title ("Convergence plot for ode45");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	307 %! legend ("imposed tolerance", "ode45 (relative) error",
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	308 %! "order 4", "order 5", "location", "northwest");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards. Rik <rik@octave.org> parents: 21596 diff changeset	309
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	310 ## We are using the Van der Pol equation for all tests that are done
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	311 ## for this function.
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	312 ## For further tests we also define a reference solution (computed at high
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	313 ## accuracy)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	314 %!function ydot = fpol (t, y) # The Van der Pol ODE
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	315 %! ydot = [y(2); (1 - y(1)^2) * y(2) - y(1)];
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	316 %!endfunction
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	317 %!function ref = fref () # The computed reference solution
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	318 %! ref = [0.32331666704577, -1.83297456798624];
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	319 %!endfunction
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	320 %!function jac = fjac (t, y, varargin) # its Jacobian
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	321 %! jac = [0, 1; -1 - 2 * y(1) * y(2), 1 - y(1)^2];
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	322 %!endfunction
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	323 %!function jac = fjcc (t, y, varargin) # sparse type
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	324 %! jac = sparse ([0, 1; -1 - 2 * y(1) * y(2), 1 - y(1)^2]);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	325 %!endfunction
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	326 %!function [val, trm, dir] = feve (t, y, varargin)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	327 %! val = fpol (t, y, varargin); # We use the derivatives
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	328 %! trm = zeros (2,1); # that's why component 2
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	329 %! dir = ones (2,1); # does not seem to be exact
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	330 %!endfunction
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	331 %!function [val, trm, dir] = fevn (t, y, varargin)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	332 %! val = fpol (t, y, varargin); # We use the derivatives
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	333 %! trm = ones (2,1); # that's why component 2
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	334 %! dir = ones (2,1); # does not seem to be exact
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	335 %!endfunction
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	336 %!function mas = fmas (t, y, varargin)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	337 %! mas = [1, 0; 0, 1]; # Dummy mass matrix for tests
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	338 %!endfunction
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	339 %!function mas = fmsa (t, y, varargin)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	340 %! mas = sparse ([1, 0; 0, 1]); # A sparse dummy matrix
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	341 %!endfunction
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	342 %!function out = fout (t, y, flag, varargin)
22639 7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	343 %! out = false;
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	344 %! if (strcmp (flag, "init"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	345 %! if (! isequal (size (t), [2, 1]))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	346 %! error ('fout: step "init"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	347 %! endif
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	348 %! elseif (isempty (flag))
22639 7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	349 %! if (! isequal (size (t), [1, 1]))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	350 %! error ('fout: step "calc"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	351 %! endif
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	352 %! elseif (strcmp (flag, "done"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	353 %! if (! isempty (t))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	354 %! warning ('fout: step "done"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	355 %! endif
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	356 %! else
22639 7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m. Rik <rik@octave.org> parents: 22626 diff changeset	357 %! error ("fout: invalid flag <%s>", flag);
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	358 %! endif
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	359 %!endfunction
20533 fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core. jcorno <jacopo.corno@gmail.com> parents: diff changeset	360 %!
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	361 %!test # two output arguments
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	362 %! [t, y] = ode45 (@fpol, [0 2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	363 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	364 %!test # not too many steps
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	365 %! [t, y] = ode45 (@fpol, [0 2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	366 %! assert (size (t) < 20);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	367 %!test # anonymous function instead of real function
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	368 %! fvdb = @(t,y) [y(2); (1 - y(1)^2) * y(2) - y(1)];
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	369 %! [t, y] = ode45 (fvdb, [0 2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	370 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
20613 27c091f4b66d allow first argument in ode45 to be a string Carlo de Falco <carlo.defalco@polimi.it> parents: 20612 diff changeset	371 %!test # string instead of function
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	372 %! [t, y] = ode45 ("fpol", [0 2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	373 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	374 %!test # extra input arguments passed through
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	375 %! [t, y] = ode45 (@fpol, [0 2], [2 0], 12, 13, "KL");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	376 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
20631 00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45. Rik <rik@octave.org> parents: 20620 diff changeset	377 %!test # empty ODEOPT structure but extra input arguments
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	378 %! opt = odeset;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	379 %! [t, y] = ode45 (@fpol, [0 2], [2 0], opt, 12, 13, "KL");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	380 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	381 %!test # Solve another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	382 %! vref = [0, 14.77810590694212];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	383 %! [t, y] = ode45 (@(t,y) y, [-2 0], 2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	384 %! assert ([t(end), y(end,:)], vref, 1e-1);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	385 %!test # InitialStep option
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	386 %! opt = odeset ("InitialStep", 1e-8);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	387 %! [t, y] = ode45 (@fpol, [0 0.2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	388 %! assert ([t(2)-t(1)], [1e-8], 1e-9);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	389 %!test # MaxStep option
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	390 %! opt = odeset ("MaxStep", 1e-3);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	391 %! sol = ode45 (@fpol, [0 0.2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	392 %! assert ([sol.x(5)-sol.x(4)], [1e-3], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	393 %!test # Solve with intermidiate step
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	394 %! sol = ode45 (@fpol, [0 1 2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	395 %! assert (any((sol.x-1) == 0));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	396 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	397 %!test # Solve in backward direction starting at t=0
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	398 %! vref = [-1.205364552835178, 0.951542399860817];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	399 %! sol = ode45 (@fpol, [0 -2], [2 0]);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	400 %! assert ([sol.x(end), sol.y(end,:)], [-2, vref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	401 %!test # Solve in backward direction starting at t=2
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	402 %! vref = [-1.205364552835178, 0.951542399860817];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	403 %! sol = ode45 (@fpol, [2 -2], fref);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	404 %! assert ([sol.x(end), sol.y(end,:)], [-2, vref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	405 %!test # Solve in backward direction starting at t=2, with intermidiate step
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	406 %! vref = [-1.205364552835178, 0.951542399860817];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	407 %! sol = ode45 (@fpol, [2 0 -2], fref);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	408 %! idx = find(sol.x < 0, 1, "first") - 1;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	409 %! assert ([sol.x(idx), sol.y(idx,:)], [0 2 0], 1e-2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	410 %! assert ([sol.x(end), sol.y(end,:)], [-2, vref], 1e-2);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	411 %!test # Solve another anonymous function in backward direction
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	412 %! vref = [-1, 0.367879437558975];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	413 %! sol = ode45 (@(t,y) y, [0 -1], 1);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	414 %! assert ([sol.x(end), sol.y(end,:)], vref, 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	415 %!test # Solve another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	416 %! vref = [0, 14.77810590694212];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	417 %! sol = ode45 (@(t,y) y, [-2 0], 2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	418 %! assert ([sol.x(end), sol.y(end,:)], vref, 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	419 %!test # Solve in backward direction starting at t=0 with MaxStep option
e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	420 %! vref = [-1.205364552835178, 0.951542399860817];
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	421 %! opt = odeset ("MaxStep", 1e-3);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	422 %! sol = ode45 (@fpol, [0 -2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	423 %! assert ([abs(sol.x(8)-sol.x(7))], [1e-3], 1e-3);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	424 %! assert ([sol.x(end), sol.y(end,:)], [-2, vref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	425 %!test # AbsTol option
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	426 %! opt = odeset ("AbsTol", 1e-5);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	427 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	428 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	429 %!test # AbsTol and RelTol option
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	430 %! opt = odeset ("AbsTol", 1e-8, "RelTol", 1e-8);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	431 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	432 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	433 %!test # RelTol and NormControl option -- higher accuracy
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	434 %! opt = odeset ("RelTol", 1e-8, "NormControl", "on");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	435 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	436 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-5);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	437 %!test # Keeps initial values while integrating
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	438 %! opt = odeset ("NonNegative", 2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	439 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	440 %! assert ([sol.x(end), sol.y(end,:)], [2, 2, 0], 0.5);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	441 %!test # Details of OutputSel and Refine can't be tested
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	442 %! opt = odeset ("OutputFcn", @fout, "OutputSel", 1, "Refine", 5);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	443 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	444 %!test # Stats must add further elements in sol
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	445 %! opt = odeset ("Stats", "on");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	446 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	447 %! assert (isfield (sol, "stats"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	448 %! assert (isfield (sol.stats, "nsteps"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	449 %!test # Events option add further elements in sol
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	450 %! opt = odeset ("Events", @feve);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	451 %! sol = ode45 (@fpol, [0 10], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	452 %! assert (isfield (sol, "ie"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	453 %! assert (sol.ie(1), 2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	454 %! assert (isfield (sol, "xe"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	455 %! assert (isfield (sol, "ye"));
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	456 %!test # Events option, now stop integration
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	457 %! warning ("off", "integrate_adaptive:unexpected_termination", "local");
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	458 %! opt = odeset ("Events", @fevn, "NormControl", "on");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	459 %! sol = ode45 (@fpol, [0 10], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	460 %! assert ([sol.ie, sol.xe, sol.ye],
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	461 %! [2.0, 2.496110, -0.830550, -2.677589], 6e-1);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	462 %!test # Events option, five output arguments
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	463 %! warning ("off", "integrate_adaptive:unexpected_termination", "local");
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	464 %! opt = odeset ("Events", @fevn, "NormControl", "on");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	465 %! [t, y, vxe, ye, vie] = ode45 (@fpol, [0 10], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	466 %! assert ([vie, vxe, ye],
20553 45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m. Rik <rik@octave.org> parents: 20549 diff changeset	467 %! [2.0, 2.496110, -0.830550, -2.677589], 6e-1);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	468 %!test # Mass option as function
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	469 %! opt = odeset ("Mass", @fmas);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	470 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	471 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	472 %!test # Mass option as matrix
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	473 %! opt = odeset ("Mass", eye (2,2));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	474 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	475 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	476 %!test # Mass option as sparse matrix
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	477 %! opt = odeset ("Mass", sparse (eye (2,2)));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	478 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	479 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	480 %!test # Mass option as function and sparse matrix
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	481 %! opt = odeset ("Mass", @fmsa);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	482 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	483 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
20549 e368ce72a844 maint: Use Octave coding conventions for ode* functions. Rik <rik@octave.org> parents: 20548 diff changeset	484 %!test # Mass option as function and MStateDependence
20634 80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	485 %! opt = odeset ("Mass", @fmas, "MStateDependence", "strong");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	486 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files. Rik <rik@octave.org> parents: 20631 diff changeset	487 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	488
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	489 ## FIXME: Missing tests.
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	490 ## test for MvPattern option is missing
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	491 ## test for InitialSlope option is missing
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	492 ## test for MaxOrder option is missing
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	493
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	494 %!error ode45 ()
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	495 %!error ode45 (1)
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	496 %!error ode45 (1,2)
22626 869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	497 %!error <TRANGE must be a numeric> ode45 (@fpol, {[0 25]}, [3 15 1])
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	498 %!error <TRANGE must be a .* vector> ode45 (@fpol, [0 25; 25 0], [3 15 1])
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	499 %!error <TRANGE must contain at least 2 elements> ode45 (@fpol, [1], [3 15 1])
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	500 %!error <invalid time span> ode45 (@fpol, [1 1], [3 15 1])
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	501 %!error <INIT must be a numeric> ode45 (@fpol, [0 25], {[3 15 1]})
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	502 %!error <INIT must be a .* vector> ode45 (@fpol, [0 25], [3 15 1; 3 15 1])
869c02fde46c Further clean-up of ode functions. Rik <rik@octave.org> parents: 22625 diff changeset	503 %!error <FUN must be a valid function handle> ode45 (1, [0 25], [3 15 1])
21443 acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation. Rik <rik@octave.org> parents: 20908 diff changeset	504