annotate scripts/ode/ode45.m @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents 7854d5752dd2
children e1788b1a315f
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2006-2022 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init})
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28 ## @deftypefnx {} {[@var{t}, @var{y}] =} ode45 (@var{fun}, @var{trange}, @var{init}, @var{ode_opt})
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29 ## @deftypefnx {} {[@var{t}, @var{y}, @var{te}, @var{ye}, @var{ie}] =} ode45 (@dots{})
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30 ## @deftypefnx {} {@var{solution} =} ode45 (@dots{})
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31 ## @deftypefnx {} {} ode45 (@dots{})
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32 ##
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33 ## Solve a set of non-stiff Ordinary Differential Equations (non-stiff ODEs)
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34 ## with the well known explicit @nospell{Dormand-Prince} method of order 4.
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35 ##
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36 ## @var{fun} is a function handle, inline function, or string containing the
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37 ## name of the function that defines the ODE: @code{y' = f(t,y)}. The function
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38 ## must accept two inputs where the first is time @var{t} and the second is a
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39 ## column vector of unknowns @var{y}.
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40 ##
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41 ## @var{trange} specifies the time interval over which the ODE will be
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42 ## evaluated. Typically, it is a two-element vector specifying the initial and
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43 ## final times (@code{[tinit, tfinal]}). If there are more than two elements
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44 ## then the solution will also be evaluated at these intermediate time
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45 ## instances.
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46 ##
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47 ## By default, @code{ode45} uses an adaptive timestep with the
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48 ## @code{integrate_adaptive} algorithm. The tolerance for the timestep
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49 ## computation may be changed by using the options @qcode{"RelTol"} and
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50 ## @qcode{"AbsTol"}.
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51 ##
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52 ## @var{init} contains the initial value for the unknowns. If it is a row
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53 ## vector then the solution @var{y} will be a matrix in which each column is
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54 ## the solution for the corresponding initial value in @var{init}.
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55 ##
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56 ## The optional fourth argument @var{ode_opt} specifies non-default options to
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57 ## the ODE solver. It is a structure generated by @code{odeset}.
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58 ##
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59 ## The function typically returns two outputs. Variable @var{t} is a
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60 ## column vector and contains the times where the solution was found. The
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61 ## output @var{y} is a matrix in which each column refers to a different
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62 ## unknown of the problem and each row corresponds to a time in @var{t}.
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63 ##
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64 ## The output can also be returned as a structure @var{solution} which has a
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65 ## field @var{x} containing a row vector of times where the solution was
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66 ## evaluated and a field @var{y} containing the solution matrix such that each
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67 ## column corresponds to a time in @var{x}. Use
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68 ## @w{@code{fieldnames (@var{solution})}} to see the other fields and
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69 ## additional information returned.
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70 ##
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71 ## If no output arguments are requested, and no @qcode{"OutputFcn"} is
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72 ## specified in @var{ode_opt}, then the @qcode{"OutputFcn"} is set to
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73 ## @code{odeplot} and the results of the solver are plotted immediately.
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74 ##
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75 ## If using the @qcode{"Events"} option then three additional outputs may be
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76 ## returned. @var{te} holds the time when an Event function returned a zero.
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77 ## @var{ye} holds the value of the solution at time @var{te}. @var{ie}
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78 ## contains an index indicating which Event function was triggered in the case
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79 ## of multiple Event functions.
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80 ##
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81 ## Example: Solve the @nospell{Van der Pol} equation
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82 ##
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83 ## @example
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84 ## @group
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85 ## fvdp = @@(@var{t},@var{y}) [@var{y}(2); (1 - @var{y}(1)^2) * @var{y}(2) - @var{y}(1)];
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86 ## [@var{t},@var{y}] = ode45 (fvdp, [0, 20], [2, 0]);
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87 ## @end group
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88 ## @end example
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89 ## @seealso{odeset, odeget, ode23, ode15s}
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90 ## @end deftypefn
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91
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92 function varargout = ode45 (fun, trange, init, varargin)
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94 if (nargin < 3)
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95 print_usage ();
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96 endif
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97
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98 solver = "ode45";
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99 order = 5; # runge_kutta_45_dorpri uses local extrapolation
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100
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101 if (nargin >= 4)
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102 if (! isstruct (varargin{1}))
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103 ## varargin{1:len} are parameters for fun
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104 odeopts = odeset ();
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105 funarguments = varargin;
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106 elseif (numel (varargin) > 1)
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107 ## varargin{1} is an ODE options structure opt
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108 odeopts = varargin{1};
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109 funarguments = {varargin{2:numel (varargin)}};
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110 else
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111 ## varargin{1} is an ODE options structure opt
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112 odeopts = varargin{1};
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113 funarguments = {};
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114 endif
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115 else # nargin == 3
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116 odeopts = odeset ();
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117 funarguments = {};
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fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
118 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
119
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
120 if (! isnumeric (trange) || ! isvector (trange))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
121 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
122 "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
123 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
124
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
125 if (numel (trange) < 2)
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
126 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
127 "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
128 elseif (trange(1) == trange(2))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
129 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
130 "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
131 else
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
132 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
133 endif
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
134 trange = trange(:);
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
135
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
136 if (! isnumeric (init) || ! isvector (init))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
137 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
138 "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
139 endif
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
140 init = init(:);
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
141
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
142 if (ischar (fun))
28041
5e44268dca6f Replace input validation relying on str2func with alternatives (bug #57351).
Rik <rik@octave.org>
parents: 27923
diff changeset
143 if (! exist (fun))
5e44268dca6f Replace input validation relying on str2func with alternatives (bug #57351).
Rik <rik@octave.org>
parents: 27923
diff changeset
144 error ("Octave:invalid-input-arg",
28045
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
145 ['ode45: function "' fun '" not found']);
28041
5e44268dca6f Replace input validation relying on str2func with alternatives (bug #57351).
Rik <rik@octave.org>
parents: 27923
diff changeset
146 endif
5e44268dca6f Replace input validation relying on str2func with alternatives (bug #57351).
Rik <rik@octave.org>
parents: 27923
diff changeset
147 fun = str2func (fun);
20613
27c091f4b66d allow first argument in ode45 to be a string
Carlo de Falco <carlo.defalco@polimi.it>
parents: 20612
diff changeset
148 endif
25803
23483673ba43 Use is_function_handle instead of isa (x, "function_handle").
Rik <rik@octave.org>
parents: 25054
diff changeset
149 if (! is_function_handle (fun))
20631
00caf63edcdf maint: Remove obsolete ODE options from odeset/odeget/ode45.
Rik <rik@octave.org>
parents: 20620
diff changeset
150 error ("Octave:invalid-input-arg",
28045
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
151 "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
152 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
153
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
154 ## 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
155 ## 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
156 [defaults, classes, attributes] = odedefaults (numel (init),
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
157 trange(1), trange(end));
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
158
22660
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
159 ## 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
160 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
161
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
162 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
163 {"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
164 "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
165
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
166 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
167 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
168 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
169
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
170 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
171
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
172 odeopts.funarguments = funarguments;
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
173 odeopts.direction = direction;
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
174
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
175 if (! isempty (odeopts.NonNegative))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
176 if (isempty (odeopts.Mass))
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
177 odeopts.havenonnegative = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
178 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
179 odeopts.havenonnegative = false;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
180 warning ("Octave:invalid-input-arg",
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
181 ['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
182 " 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
183 endif
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
184 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
185 odeopts.havenonnegative = false;
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
186 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
187
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
188 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
189 odeopts.OutputFcn = @odeplot;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
190 odeopts.haveoutputfunction = true;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
191 else
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
192 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
193 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
194
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
195 if (isempty (odeopts.InitialStep))
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
196 odeopts.InitialStep = odeopts.direction * ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
197 starting_stepsize (order, fun, trange(1), init,
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
198 odeopts.AbsTol, odeopts.RelTol,
22935
c9344df03da5 Allow case-insensitive option argument 'on' to ode solvers (bug #49918).
Rik <rik@octave.org>
parents: 22934
diff changeset
199 strcmpi (odeopts.NormControl, "on"),
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
200 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
201 endif
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
202
28045
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
203 if (! isempty (odeopts.Mass))
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
204 if (isnumeric (odeopts.Mass))
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
205 havemasshandle = false;
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
206 mass = odeopts.Mass; # constant mass
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
207 elseif (is_function_handle (odeopts.Mass))
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
208 havemasshandle = true; # mass defined by a function handle
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
209 else
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
210 error ("Octave:invalid-input-arg",
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
211 'ode45: "Mass" field must be a function handle or square matrix');
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
212 endif
13dba3c069f8 Update input validation for odeXXX.m functions.
Rik <rik@octave.org>
parents: 28041
diff changeset
213 else # no mass matrix - create 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
214 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
215 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
216
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
217 ## 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
218
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
219 if (havemasshandle) # Handle only the dynamic mass matrix,
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
220 if (! strcmp (odeopts.MStateDependence, "none"))
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
221 ### 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
222 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
223 fun = @(t,x) mass (t, x, odeopts.funarguments{:}) ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
224 \ fun (t, x, odeopts.funarguments{:});
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
225 else
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
226 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
227 fun = @(t,x) mass (t, odeopts.funarguments{:}) ...
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
228 \ 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
229 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
230 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
231
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
232 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
233 ## 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
234 ## 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
235 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
236 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
237 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
238 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
239 endif
56d7d423aff9 Return intermediate integration times when single output argument used in ode solver (bug #49417).
Rik <rik@octave.org>
parents: 22655
diff changeset
240
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
241 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
242 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
243
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
244 ## 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
245 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
246 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
247 endif
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
248 if (! isempty (odeopts.Events)) # Cleanup event function handling
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
249 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
250 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
251 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
252
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
253 ## Print additional information if option Stats is set
22935
c9344df03da5 Allow case-insensitive option argument 'on' to ode solvers (bug #49918).
Rik <rik@octave.org>
parents: 22934
diff changeset
254 if (strcmpi (odeopts.Stats, "on"))
21955
0f3e875d9078 Fix statistics on solution solving for ode45, ode23 (bug #48243).
jcorno <jacopo.corno@gmail.com>
parents: 21634
diff changeset
255 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
256 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
257 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
258 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
259 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
260 nlinsols = 0; # no. of linear systems solutions
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
261
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
262 printf ("Number of successful steps: %d\n", nsteps);
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
263 printf ("Number of failed attempts: %d\n", nfailed);
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
264 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
265 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
266
20553
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
267 if (nargout == 2)
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
268 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
269 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
270 elseif (nargout == 1)
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
271 varargout{1}.x = solution.t.'; # Time stamps saved in field x (row vector)
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
272 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
273 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
274 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
275 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
276 varargout{1}.ye = solution.event{4}; # Results when an event occurred
22955
3c72c72233e3 ode23.m, ode45.m: Switch output creation order of struct fields to match Matlab.
Rik <rik@octave.org>
parents: 22940
diff changeset
277 varargout{1}.ie = 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
278 endif
22935
c9344df03da5 Allow case-insensitive option argument 'on' to ode solvers (bug #49918).
Rik <rik@octave.org>
parents: 22934
diff changeset
279 if (strcmpi (odeopts.Stats, "on"))
20553
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
280 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
281 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
282 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
283 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
284 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
285 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
286 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
287 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
288 elseif (nargout > 2)
20553
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
289 varargout = cell (1,5);
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
290 varargout{1} = solution.t;
45151de7423f maint: Clean up implementations of ode45.m, odeget.m, odeset.m.
Rik <rik@octave.org>
parents: 20549
diff changeset
291 varargout{2} = solution.x;
22593
dba5074bdc79 simplify options management in ode solvers
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22445
diff changeset
292 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
293 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
294 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
295 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
296 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
297 endif
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
298
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
299 endfunction
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
300
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
301
21599
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
302 %!demo
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
303 %! ## 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
304 %! 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
305 %! 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
306 %! 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
307 %! [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
308 %! 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
309 %! 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
310 %! endfor
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
311 %!
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
312 %! ## Estimate order visually
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
313 %! loglog (h, tol, "-ob",
22445
cbac595d23ac Fix %!demo blocks for ode23 and ode45
Mike Miller <mtmiller@octave.org>
parents: 22323
diff changeset
314 %! 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
315 %! h, (h/h(end)) .^ 4 .* tol(end), "k--",
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
316 %! 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
317 %! axis tight
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
318 %! xlabel ("h");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
319 %! ylabel ("err(h)");
f29d68e24c5a ode23.m, ode45.m: More reformatting of demos to Octave coding standards.
Rik <rik@octave.org>
parents: 21596
diff changeset
320 %! 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
321 %! 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
322 %! "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
323 %!
cf8ec7abb4ae Clean up demo and test blocks for ode functions.
Rik <rik@octave.org>
parents: 22644
diff changeset
324 %! ## Estimate order numerically
cf8ec7abb4ae Clean up demo and test blocks for ode functions.
Rik <rik@octave.org>
parents: 22644
diff changeset
325 %! 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
326
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
327 ## We are using the Van der Pol equation for all tests.
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
328 ## Further tests also define a reference solution (computed at high accuracy)
28563
5a07c798eb08 avoid function call input or output argument number mismatch
John W. Eaton <jwe@octave.org>
parents: 28045
diff changeset
329 %!function ydot = fpol (t, y, varargin) # The Van der Pol ODE
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
330 %! 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
331 %!endfunction
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
332 %!function ref = fref () # The computed reference solution
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
333 %! 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
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] = feve (t, y, varargin)
28563
5a07c798eb08 avoid function call input or output argument number mismatch
John W. Eaton <jwe@octave.org>
parents: 28045
diff changeset
336 %! val = fpol (t, y, varargin{:}); # We use the derivatives
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
337 %! trm = zeros (2,1); # that's why component 2
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
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 [val, trm, dir] = fevn (t, y, varargin)
28563
5a07c798eb08 avoid function call input or output argument number mismatch
John W. Eaton <jwe@octave.org>
parents: 28045
diff changeset
341 %! val = fpol (t, y, varargin{:}); # We use the derivatives
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
342 %! trm = ones (2,1); # that's why component 2
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
343 %! 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
344 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
345 %!function mas = fmas (t, y, varargin)
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
346 %! 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
347 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
348 %!function mas = fmsa (t, y, varargin)
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
349 %! 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
350 %!endfunction
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
351 %!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
352 %! out = false;
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
353 %! if (strcmp (flag, "init"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
354 %! 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
355 %! error ('fout: step "init"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
356 %! endif
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
357 %! elseif (isempty (flag))
22639
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
358 %! 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
359 %! error ('fout: step "calc"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
360 %! endif
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
361 %! elseif (strcmp (flag, "done"))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
362 %! if (! isempty (t))
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
363 %! warning ('fout: step "done"');
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
364 %! endif
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
365 %! else
22639
7efa2d0e22c9 More Matlab-compatible implementation of OutputFcn. Clean up odeplot.m.
Rik <rik@octave.org>
parents: 22626
diff changeset
366 %! error ("fout: invalid flag <%s>", flag);
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
367 %! endif
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
368 %!endfunction
20533
fcb792acab9b Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff changeset
369 %!
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
370 %!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
371 %! [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
372 %! 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
373 %!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
374 %! [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
375 %! assert (size (t) < 20);
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
376 %!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
377 %! 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
378 %! [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
379 %! 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
380 %!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
381 %! [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
382 %! 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
383 %!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
384 %! [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
385 %! 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
386 %!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
387 %! opt = odeset;
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
388 %! [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
389 %! 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
390 %!test # Solve another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
391 %! 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
392 %! [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
393 %! 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
394 %!test # InitialStep option
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
395 %! 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
396 %! [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
397 %! 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
398 %!test # MaxStep option
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
399 %! 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
400 %! 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
401 %! 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
402 %!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
403 %! [t, y] = ode45 (@fpol, [0 1 2], [2 0]);
28912
0de38a6ef693 maint: Use Octave convention of space after function name in scripts dir.
Rik <rik@octave.org>
parents: 28896
diff changeset
404 %! assert (any ((t-1) == 0));
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
405 %! 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
406 %!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
407 %! 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
408 %! 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
409 %! 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
410 %!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
411 %! 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
412 %! 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
413 %! 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
414 %!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
415 %! 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
416 %! [t, y] = ode45 (@fpol, [2 0 -2], fref);
28912
0de38a6ef693 maint: Use Octave convention of space after function name in scripts dir.
Rik <rik@octave.org>
parents: 28896
diff changeset
417 %! idx = find (y < 0, 1, "first") - 1;
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
418 %! 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
419 %! 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
420 %!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
421 %! 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
422 %! 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
423 %! 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
424 %!test # Solve another anonymous function below zero
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
425 %! 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
426 %! 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
427 %! 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
428 %!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
429 %! 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
430 %! 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
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 ([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
433 %! 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
434 %!test # AbsTol option
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
435 %! 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
436 %! 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
437 %! 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
438 %!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
439 %! 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
440 %! 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
441 %! 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
442 %!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
443 %! 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
444 %! 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
445 %! 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
446 %!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
447 %! opt = odeset ("NonNegative", 2);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
448 %! 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
449 %! 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
450 %!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
451 %! 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
452 %! 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
453 %!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
454 %! opt = odeset ("Stats", "on");
22934
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
455 %! stat_str = evalc ("sol = ode45 (@fpol, [0 2], [2 0], opt);");
bb452f84a299 Fix printing of solution stats in ode23/ode45 solvers (bug #49918).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22755
diff changeset
456 %! assert (strncmp (stat_str, "Number of successful steps:", 27));
20634
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
457 %! assert (isfield (sol, "stats"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
458 %! 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
459 %!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
460 %! opt = odeset ("Events", @feve);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
461 %! 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
462 %! assert (isfield (sol, "ie"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
463 %! 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
464 %! assert (isfield (sol, "xe"));
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
465 %! assert (isfield (sol, "ye"));
20549
e368ce72a844 maint: Use Octave coding conventions for ode* functions.
Rik <rik@octave.org>
parents: 20548
diff changeset
466 %!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
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 %! 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
470 %! 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
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 # Events option, five output arguments
21443
acd6e203031d Alter BIST tests stop emitting warnings during runtests invocation.
Rik <rik@octave.org>
parents: 20908
diff changeset
473 %! 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
474 %! 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
475 %! [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
476 %! 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
477 %! [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
478 %!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
479 %! opt = odeset ("Mass", @fmas);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
480 %! 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
481 %! 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
482 %!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
483 %! 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
484 %! 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
485 %! 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
486 %!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
487 %! 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
488 %! 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
489 %! 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
490 %!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
491 %! opt = odeset ("Mass", @fmsa);
80e630b37ba1 maint: Remove unnecessary 'v' prefix before variables in ODE m-files.
Rik <rik@octave.org>
parents: 20631
diff changeset
492 %! 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
493 %! 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
494 %!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
495 %! 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
496 %! 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
497 %! 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
498
22660
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
499 ## 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
500 ## 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
501 ##
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
502 ## "BDF"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
503 ## "InitialSlope"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
504 ## "JPattern"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
505 ## "Jacobian"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
506 ## "MassSingular"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
507 ## "MaxOrder"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
508 ## "MvPattern"
7eb3f8ec1aed Remove FIXME comment about missing tests for ignored ODE options.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22659
diff changeset
509 ## "Vectorized"
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
510
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
511 %!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
512 %! sol = ode45 (@(x,y) 1, [0 1], 1i);
28929
9e43deb9bfc3 maint: Use semicolon after assert statement inside %!test blocks.
Rik <rik@octave.org>
parents: 28912
diff changeset
513 %! assert (imag (sol.y), ones (size (sol.y)));
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
514 %! [x, y] = ode45 (@(x,y) 1, [0 1], 1i);
28929
9e43deb9bfc3 maint: Use semicolon after assert statement inside %!test blocks.
Rik <rik@octave.org>
parents: 28912
diff changeset
515 %! assert (imag (y), ones (size (y)));
22655
6b134d294d61 ode solvers: use ordinary transpose instead of Hermitian conjugate (bug #49410).
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22654
diff changeset
516
28896
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28892
diff changeset
517 %!error <Invalid call> ode45 ()
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28892
diff changeset
518 %!error <Invalid call> ode45 (1)
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28892
diff changeset
519 %!error <Invalid call> ode45 (1,2)
22626
869c02fde46c Further clean-up of ode functions.
Rik <rik@octave.org>
parents: 22625
diff changeset
520 %!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
521 %!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
522 %!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
523 %!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
524 %!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
525 %!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
526 %!error <FUN must be a valid function handle> ode45 (1, [0 25], [3 15 1])