annotate scripts/ode/ode45.m @ 23219:3ac9f9ecfae5 stable

maint: Update copyright dates.
author John W. Eaton <jwe@octave.org>
date Wed, 22 Feb 2017 12:39:29 -0500
parents e9a0469dedd9
children 092078913d54
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1 ## Copyright (C) 2016-2017 Carlo de Falco
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2 ## Copyright (C) 2016 Francesco Faccio <francesco.faccio@mail.polimi.it>
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3 ## Copyright (C) 2014-2016 Jacopo Corno <jacopo.corno@gmail.com>
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4 ## Copyright (C) 2013-2016 Roberto Porcu' <roberto.porcu@polimi.it>
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5 ## Copyright (C) 2006-2012 Thomas Treichl <treichl@users.sourceforge.net>
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6 ##
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7 ## This file is part of Octave.
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8 ##
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9 ## Octave is free software; you can redistribute it and/or modify it
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10 ## under the terms of the GNU General Public License as published by
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11 ## the Free Software Foundation; either version 3 of the License, or (at
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12 ## your option) any later version.
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13 ##
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14 ## Octave is distributed in the hope that it will be useful, but
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15 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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16 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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17 ## General Public License for more details.
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18 ##
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19 ## You should have received a copy of the GNU General Public License
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20 ## along with Octave; see the file COPYING. If not, see
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21 ## <http://www.gnu.org/licenses/>.
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22
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23 ## -*- texinfo -*-
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24 ## @deftypefn {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init})
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25 ## @deftypefnx {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init}, @var{ode_opt})
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26 ## @deftypefnx {} {[@var{t}, @var{y}, @var{te}, @var{ye}, @var{ie}] =} ode45 (@dots{})
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27 ## @deftypefnx {} {@var{solution} =} ode45 (@dots{})
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28 ## @deftypefnx {} {} ode45 (@dots{})
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29 ##
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30 ## Solve a set of non-stiff Ordinary Differential Equations (non-stiff ODEs)
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31 ## with the well known explicit @nospell{Dormand-Prince} method of order 4.
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32 ##
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33 ## @var{fun} is a function handle, inline function, or string containing the
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34 ## name of the function that defines the ODE: @code{y' = f(t,y)}. The function
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35 ## must accept two inputs where the first is time @var{t} and the second is a
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36 ## column vector of unknowns @var{y}.
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37 ##
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38 ## @var{trange} specifies the time interval over which the ODE will be
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39 ## evaluated. Typically, it is a two-element vector specifying the initial and
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40 ## final times (@code{[tinit, tfinal]}). If there are more than two elements
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41 ## then the solution will also be evaluated at these intermediate time
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42 ## instances.
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43 ##
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44 ## By default, @code{ode45} uses an adaptive timestep with the
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45 ## @code{integrate_adaptive} algorithm. The tolerance for the timestep
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46 ## computation may be changed by using the options @qcode{"RelTol"}
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47 ## and @qcode{"AbsTol"}.
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48 ##
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49 ## @var{init} contains the initial value for the unknowns. If it is a row
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50 ## vector then the solution @var{y} will be a matrix in which each column is
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51 ## the solution for the corresponding initial value in @var{init}.
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52 ##
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53 ## The optional fourth argument @var{ode_opt} specifies non-default options to
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54 ## the ODE solver. It is a structure generated by @code{odeset}.
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55 ##
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56 ## The function typically returns two outputs. Variable @var{t} is a
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57 ## column vector and contains the times where the solution was found. The
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58 ## output @var{y} is a matrix in which each column refers to a different
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59 ## unknown of the problem and each row corresponds to a time in @var{t}.
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60 ##
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61 ## The output can also be returned as a structure @var{solution} which
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62 ## has a field @var{x} containing a row vector of times where the solution
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63 ## was evaluated and a field @var{y} containing the solution matrix such
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64 ## that each column corresponds to a time in @var{x}.
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65 ## Use @code{fieldnames (@var{solution})} to see the other fields and
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66 ## additional information returned.
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67 ##
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68 ## If no output arguments are requested, and no @code{OutputFcn} is
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69 ## specified in @var{ode_opt}, then the @code{OutputFcn} is set to
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70 ## @code{odeplot} and the results of the solver are plotted immediately.
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71 ##
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72 ## If using the @qcode{"Events"} option then three additional outputs may
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73 ## be returned. @var{te} holds the time when an Event function returned a
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74 ## zero. @var{ye} holds the value of the solution at time @var{te}. @var{ie}
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75 ## contains an index indicating which Event function was triggered in the case
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76 ## of multiple Event functions.
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77 ##
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78 ## Example: Solve the @nospell{Van der Pol} equation
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79 ##
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80 ## @example
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81 ## @group
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82 ## fvdp = @@(@var{t},@var{y}) [@var{y}(2); (1 - @var{y}(1)^2) * @var{y}(2) - @var{y}(1)];
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83 ## [@var{t},@var{y}] = ode45 (fvdp, [0, 20], [2, 0]);
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84 ## @end group
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85 ## @end example
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86 ## @seealso{odeset, odeget, ode23}
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87 ## @end deftypefn
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88
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89 function varargout = ode45 (fun, trange, init, varargin)
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90
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91 if (nargin < 3)
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92 print_usage ();
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93 endif
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94
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95 order = 5; # runge_kutta_45_dorpri uses local extrapolation
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96 solver = "ode45";
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97
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98 if (nargin >= 4)
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99 if (! isstruct (varargin{1}))
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100 ## varargin{1:len} are parameters for fun
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101 odeopts = odeset ();
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102 funarguments = varargin;
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103 elseif (numel (varargin) > 1)
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104 ## varargin{1} is an ODE options structure opt
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105 odeopts = varargin{1};
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106 funarguments = {varargin{2:numel (varargin)}};
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107 else # if (isstruct (varargin{1}))
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108 odeopts = varargin{1};
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109 funarguments = {};
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110 endif
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111 else # nargin == 3
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112 odeopts = odeset ();
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113 funarguments = {};
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114 endif
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115
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116 if (! isnumeric (trange) || ! isvector (trange))
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117 error ("Octave:invalid-input-arg",
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118 "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
119 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
120
22626
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Rik <rik@octave.org>
parents: 22625
diff changeset
121 if (numel (trange) < 2)
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
122 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
123 "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
124 elseif (trange(1) == trange(2))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
125 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
126 "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
127 else
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
128 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
129 endif
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
130 trange = trange(:);
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
131
21443
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Rik <rik@octave.org>
parents: 20908
diff changeset
132 if (! isnumeric (init) || ! isvector (init))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
133 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
134 "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
135 endif
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
136 init = init(:);
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
137
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
138 if (ischar (fun))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
139 try
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
140 fun = str2func (fun);
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
141 catch
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
142 warning (lasterr);
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
143 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
144 endif
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
145 if (! isa (fun, "function_handle"))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
146 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
147 "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
148 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
149
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
150 ## 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
151 ## 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
152 [defaults, classes, attributes] = odedefaults (numel (init),
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
153 trange(1), trange(end));
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
154
22660
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
155 ## FIXME: Refine is not correctly implemented yet
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
156 defaults = odeset (defaults, "Refine", 4);
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
157
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
158 persistent ode45_ignore_options = ...
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
159 {"BDF", "InitialSlope", "Jacobian", "JPattern",
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
160 "MassSingular", "MaxOrder", "MvPattern", "Vectorized"};
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
161
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
162 defaults = rmfield (defaults, ode45_ignore_options);
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
163 classes = rmfield (classes, ode45_ignore_options);
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
164 attributes = rmfield (attributes, ode45_ignore_options);
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
165
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
166 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
167
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
168 odeopts.funarguments = funarguments;
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
169 odeopts.direction = direction;
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
170
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
171 if (! isempty (odeopts.NonNegative))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
172 if (isempty (odeopts.Mass))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
173 odeopts.havenonnegative = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
174 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
175 odeopts.havenonnegative = false;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
176 warning ("Octave:invalid-input-arg",
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
177 ['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
178 " 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
179 endif
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
180 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
181 odeopts.havenonnegative = false;
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
182 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
183
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
184 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
185 odeopts.OutputFcn = @odeplot;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
186 odeopts.haveoutputfunction = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
187 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
188 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
189 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
190
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
191 if (isempty (odeopts.InitialStep))
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
192 odeopts.InitialStep = odeopts.direction * ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
193 starting_stepsize (order, fun, trange(1), init,
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
194 odeopts.AbsTol, odeopts.RelTol,
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
195 strcmp (odeopts.NormControl, "on"),
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
196 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
197 endif
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
198
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
199 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
200 havemasshandle = false;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
201 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
202 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
203 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
204 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
205 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
206 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
207
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
208 ## 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
209
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
210 if (havemasshandle) # Handle only the dynamic mass matrix,
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
211 if (! strcmp (odeopts.MStateDependence, "none"))
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
212 ### 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
213 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
214 fun = @(t,x) mass (t, x, odeopts.funarguments{:}) ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
215 \ fun (t, x, odeopts.funarguments{:});
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
216 else
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
217 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
218 fun = @(t,x) mass (t, odeopts.funarguments{:}) ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
219 \ 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
220 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
221 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
222
22659
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
223 if (nargout == 1)
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
224 ## Single output requires auto-selected intermediate times,
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
225 ## which is obtained by NOT specifying specific solution times.
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
226 trange = [trange(1); trange(end)];
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
227 odeopts.Refine = []; # disable Refine when single output requested
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
228 elseif (numel (trange) > 2)
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
229 odeopts.Refine = []; # disable Refine when specific times requested
22658
56d7d423aff9 Return intermediate integration times when single output argument used in ode solver (bug #49417).
Rik <rik@octave.org>
parents: 22655
diff changeset
230 endif
56d7d423aff9 Return intermediate integration times when single output argument used in ode solver (bug #49417).
Rik <rik@octave.org>
parents: 22655
diff changeset
231
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
232 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
233 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
234
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
235 ## 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
236 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
237 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
238 endif
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
239 if (! isempty (odeopts.Events)) # Cleanup event function handling
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
240 ode_event_handler (odeopts.Events, solution.t(end),
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
241 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
242 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
243
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
244 ## 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
245 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
246 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
247 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
248 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
249 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
250 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
251 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
252 ## 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
253 if (nargout == 0)
21634
96518f623c91 Backed out changeset dcf8922b724b
Mike Miller <mtmiller@octave.org>
parents: 21633
diff changeset
254 printf ("Number of successful steps: %d\n", nsteps);
96518f623c91 Backed out changeset dcf8922b724b
Mike Miller <mtmiller@octave.org>
parents: 21633
diff changeset
255 printf ("Number of failed attempts: %d\n", nfailed);
96518f623c91 Backed out changeset dcf8922b724b
Mike Miller <mtmiller@octave.org>
parents: 21633
diff changeset
256 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
257 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
258 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
259
20553
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
260 if (nargout == 2)
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
261 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
262 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
263 elseif (nargout == 1)
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
264 varargout{1}.x = solution.t.'; # Time stamps are saved in field x (row vector)
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
265 varargout{1}.y = solution.x.'; # Results are saved in field y (row vector)
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
266 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
267 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
268 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
269 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
270 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
271 endif
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
272 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
273 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
274 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
275 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
276 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
277 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
278 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
279 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
280 endif
22937
2b2ac017c901 Fix undefined return argument for more than 2 outputs from ode solver (bug #49890).
Rik <rik@octave.org>
parents: 22660
diff changeset
281 elseif (nargout > 2)
20553
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
282 varargout = cell (1,5);
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
283 varargout{1} = solution.t;
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
284 varargout{2} = solution.x;
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
285 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
286 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
287 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
288 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
289 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
290 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
291
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
292 endfunction
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
293
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
294
21599
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
295 %!demo
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
296 %! ## 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
297 %! 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
298 %! 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
299 %! 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
300 %! [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
301 %! 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
302 %! 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
303 %! endfor
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
304 %!
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
305 %! ## Estimate order visually
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
306 %! loglog (h, tol, "-ob",
22445
cbac595d23ac Fix %!demo blocks for ode23 and ode45
Mike Miller <mtmiller@octave.org>
parents: 22323
diff changeset
307 %! 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
308 %! h, (h/h(end)) .^ 4 .* tol(end), "k--",
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
309 %! 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
310 %! axis tight
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
311 %! xlabel ("h");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
312 %! ylabel ("err(h)");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
313 %! 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
314 %! 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
315 %! "order 4", "order 5", "location", "northwest");
22647
cf8ec7abb4ae Clean up demo and test blocks for ode functions.
Rik <rik@octave.org>
parents: 22644
diff changeset
316 %!
cf8ec7abb4ae Clean up demo and test blocks for ode functions.
Rik <rik@octave.org>
parents: 22644
diff changeset
317 %! ## Estimate order numerically
cf8ec7abb4ae Clean up demo and test blocks for ode functions.
Rik <rik@octave.org>
parents: 22644
diff changeset
318 %! p = diff (log (err)) ./ diff (log (h))
21599
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
319
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
320 ## 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
321 ## for this function.
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
322 ## 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
323 ## accuracy)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
324 %!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
325 %! 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
326 %!endfunction
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
327 %!function ref = fref () # The computed reference solution
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
328 %! 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
329 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
330 %!function [val, trm, dir] = feve (t, y, varargin)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
331 %! val = fpol (t, y, varargin); # We use the derivatives
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
332 %! trm = zeros (2,1); # that's why component 2
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
333 %! 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
334 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
335 %!function [val, trm, dir] = fevn (t, y, varargin)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
336 %! val = fpol (t, y, varargin); # We use the derivatives
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
337 %! trm = ones (2,1); # that's why component 2
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
338 %! 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
339 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
340 %!function mas = fmas (t, y, varargin)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
341 %! 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
342 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
343 %!function mas = fmsa (t, y, varargin)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
344 %! 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
345 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
346 %!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
347 %! out = false;
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
348 %! if (strcmp (flag, "init"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
349 %! 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
350 %! error ('fout: step "init"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
351 %! endif
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
352 %! elseif (isempty (flag))
22639
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
353 %! 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
354 %! error ('fout: step "calc"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
355 %! endif
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
356 %! elseif (strcmp (flag, "done"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
357 %! if (! isempty (t))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
358 %! warning ('fout: step "done"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
359 %! endif
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
360 %! else
22639
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
361 %! error ("fout: invalid flag <%s>", flag);
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
362 %! endif
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
363 %!endfunction
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
364 %!
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
365 %!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
366 %! [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
367 %! 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
368 %!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
369 %! [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
370 %! assert (size (t) < 20);
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
371 %!test # anonymous function instead of real function
22644
23941beb44cd Cleanup variable names, obsolete ChangeLog info in ode23, ode45.
Rik <rik@octave.org>
parents: 22643
diff changeset
372 %! fvdp = @(t,y) [y(2); (1 - y(1)^2) * y(2) - y(1)];
23941beb44cd Cleanup variable names, obsolete ChangeLog info in ode23, ode45.
Rik <rik@octave.org>
parents: 22643
diff changeset
373 %! [t, y] = ode45 (fvdp, [0 2], [2 0]);
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
374 %! 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
375 %!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
376 %! [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
377 %! 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
378 %!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
379 %! [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
380 %! 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
381 %!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
382 %! opt = odeset;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
383 %! [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
384 %! 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
385 %!test # Solve another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
386 %! 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
387 %! [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
388 %! 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
389 %!test # InitialStep 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 ("InitialStep", 1e-8);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
391 %! [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
392 %! 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
393 %!test # MaxStep option
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
394 %! 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
395 %! 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
396 %! assert ([sol.x(5)-sol.x(4)], [1e-3], 1e-3);
22659
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
397 %!test # Solve with intermediate step
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
398 %! [t, y] = ode45 (@fpol, [0 1 2], [2 0]);
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
399 %! assert (any((t-1) == 0));
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
400 %! assert ([t(end), y(end,:)], [2, fref], 1e-3);
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=0
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, [0 -2], [2 0]);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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
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 -2], fref);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
408 %! assert ([sol.x(end); sol.y(:,end)], [-2; vref'], 1e-2);
22659
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
409 %!test # Solve in backward direction starting at t=2, with intermediate step
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
410 %! vref = [-1.205364552835178, 0.951542399860817];
22659
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
411 %! [t, y] = ode45 (@fpol, [2 0 -2], fref);
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
412 %! idx = find(y < 0, 1, "first") - 1;
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
413 %! assert ([t(idx), y(idx,:)], [0,2,0], 1e-2);
04fc7e9c5f96 Disable Refine option of ode solvers for certain input/output combinations (partial fix bug #49408).
Rik <rik@octave.org>
parents: 22658
diff changeset
414 %! assert ([t(end), y(end,:)], [-2, vref], 1e-2);
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
415 %!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
416 %! 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
417 %! sol = ode45 (@(t,y) y, [0 -1], 1);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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 another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
420 %! 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
421 %! sol = ode45 (@(t,y) y, [-2 0], 2);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
422 %! 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
423 %!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
424 %! 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
425 %! 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
426 %! 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
427 %! assert ([abs(sol.x(8)-sol.x(7))], [1e-3], 1e-3);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
428 %! 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
429 %!test # AbsTol 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-5);
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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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 # 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
434 %! 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
435 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
436 %! 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
437 %!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
438 %! 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
439 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
440 %! 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
441 %!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
442 %! opt = odeset ("NonNegative", 2);
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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
444 %! 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
445 %!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
446 %! 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
447 %! 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
448 %!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
449 %! opt = odeset ("Stats", "on");
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
450 %! 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
451 %! assert (isfield (sol, "stats"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
452 %! 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
453 %!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
454 %! opt = odeset ("Events", @feve);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
455 %! 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
456 %! assert (isfield (sol, "ie"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
457 %! 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
458 %! assert (isfield (sol, "xe"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
459 %! assert (isfield (sol, "ye"));
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
460 %!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
461 %! 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
462 %! 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
463 %! 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
464 %! 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
465 %! [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
466 %!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
467 %! 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
468 %! 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
469 %! [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
470 %! 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
471 %! [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
472 %!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
473 %! opt = odeset ("Mass", @fmas);
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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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 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", 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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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 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", sparse (eye (2,2)));
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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
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 sparse matrix
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", @fmsa);
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);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
487 %! 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
488 %!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
489 %! 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
490 %! sol = ode45 (@fpol, [0 2], [2 0], opt);
22654
bc61ed076549 Change orientation of output fields in struct returned from ode solvers (bug #49402).
Sebastian Schöps <sebastian@schoeps.org>
parents: 22647
diff changeset
491 %! 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
492
22660
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
493 ## Note: The following options have no effect on this solver
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
494 ## therefore it makes no sense to test them here:
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
495 ##
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
496 ## "BDF"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
497 ## "InitialSlope"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
498 ## "JPattern"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
499 ## "Jacobian"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
500 ## "MassSingular"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
501 ## "MaxOrder"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
502 ## "MvPattern"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
503 ## "Vectorized"
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
504
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
505 %!test # Check that imaginary part of solution does not get inverted
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
506 %! sol = ode45 (@(x,y) 1, [0 1], 1i);
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
507 %! assert (imag (sol.y), ones (size (sol.y)))
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
508 %! [x, y] = ode45 (@(x,y) 1, [0 1], 1i);
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
509 %! assert (imag (y), ones (size (y)))
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
510
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
511 %!error ode45 ()
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
512 %!error ode45 (1)
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
513 %!error ode45 (1,2)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
514 %!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
515 %!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
516 %!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
517 %!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
518 %!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
519 %!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
520 %!error <FUN must be a valid function handle> ode45 (1, [0 25], [3 15 1])