annotate scripts/ode/ode15s.m @ 22910:23847979b91e

maint: Strip trailing whitespace from source files.
author John W. Eaton <jwe@octave.org>
date Fri, 16 Dec 2016 10:20:35 -0500
parents 284bbb0328f2
children dec22bceafa2
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1 ## Copyright (C) 2016, Francesco Faccio <francesco.faccio@mail.polimi.it>
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {} {[@var{t}, @var{y}] =} ode15s (@var{fun}, @var{trange}, @var{y0})
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21 ## @deftypefnx {} {[@var{t}, @var{y}] =} ode15s (@var{fun}, @var{trange}, @var{y0}, @var{ode_opt})
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22 ## @deftypefnx {} {[@var{t}, @var{y}, @var{te}, @var{ye}, @var{ie}] =} ode15s (@dots{})
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23 ## @deftypefnx {} {@var{solution} =} ode15s (@dots{})
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24 ##
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25 ## Solve a set of stiff Ordinary Differential Equations and stiff semi-explicit
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26 ## Differential Algebraic Equations (DAEs) of index 1, with the variable-step,
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27 ## variable order BDF (Backward Differentiation Formula) method, which
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28 ## ranges from order 1 to 5.
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29 ##
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30 ## @var{fun} is a function handle, inline function, or string containing the
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31 ## name of the function that defines the ODE: @code{f(@var{t},@var{y})}.
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32 ## The function must accept two inputs where the first is time @var{t} and the
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33 ## second is a column vector of unknowns @var{y}.
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34 ##
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35 ## @var{trange} specifies the time interval over which the ODE will be
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36 ## evaluated. Typically, it is a two-element vector specifying the initial and
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37 ## final times (@code{[tinit, tfinal]}). If there are more than two elements
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38 ## then the solution will also be evaluated at these intermediate time.
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39 ##
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40 ## @var{init} contains the initial value for the unknowns. If it is a row
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41 ## vector then the solution @var{y} will be a matrix in which each column is
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42 ## the solution for the corresponding initial value in @var{init}.
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43 ##
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44 ## The optional fourth argument @var{ode_opt} specifies non-default options to
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45 ## the ODE solver. It is a structure generated by @code{odeset}.
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46 ##
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47 ## The function typically returns two outputs. Variable @var{t} is a
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48 ## column vector and contains the times where the solution was found. The
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49 ## output @var{y} is a matrix in which each column refers to a different
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50 ## unknown of the problem and each row corresponds to a time in @var{t}.
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51 ##
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52 ## The output can also be returned as a structure @var{solution} which
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53 ## has field @var{x} containing the time where the solution was evaluated and
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54 ## field @var{y} containing the solution matrix for the times in @var{x}.
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55 ## Use @code{fieldnames (@var{solution})} to see the other fields and
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56 ## additional information returned.
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57 ##
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58 ## If using the @qcode{"Events"} option then three additional outputs may
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59 ## be returned. @var{te} holds the time when an Event function returned a
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60 ## zero. @var{ye} holds the value of the solution at time @var{te}. @var{ie}
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61 ## contains an index indicating which Event function was triggered in the case
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62 ## of multiple Event functions.
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63 ##
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64 ## This function can be called with two output arguments: @var{t} and @var{y}.
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65 ## Variable @var{t} is a column vector and contains the time stamps, instead
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66 ## @var{y} is a matrix in which each column refers to a different unknown of
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67 ## the problem and the rows number is the same of @var{t} rows number so
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68 ## that each row of @var{y} contains the values of all unknowns at the time
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69 ## value contained in the corresponding row in @var{t}.
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70 ##
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71 ## Example: Solve the @nospell{Robetson}'s equations:
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72 ## @example
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73 ## @group
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74 ## function res = robertsidae(@var{t}, @var{y})
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75 ## res = [-0.04*@var{y}(1) + 1e4*@var{y}(2)*@var{y}(3);
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76 ## 0.04*@var{y}(1) - 1e4*@var{y}(2)*@var{y}(3) - 3e7*@var{y}(2)^2;
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77 ## @var{y}(1) + @var{y}(2) + @var{y}(3) - 1];
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78 ## endfunction
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79 ## opt = odeset ("Mass", [1 0 0; 0 1 0; 0 0 0], "MStateDependence", "none");
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80 ## [@var{t},@var{y}] = ode15s (@@robertsidae, [0 1e3], [1; 0; 0], opt);
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81 ## @end group
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82 ## @end example
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83 ## @seealso{decic, odeset, odeget}
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84 ## @end deftypefn
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85
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86 function varargout = ode15s (fun, trange, y0, varargin)
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87
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88 solver = 'ode15s';
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89
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90 if (nargin < 3)
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91 print_usage ();
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92 endif
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93
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94 ## Check fun, trange, y0, yp0
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95 fun = check_default_input (fun, trange, solver, y0);
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96
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97 n = numel (y0);
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98
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99 if (nargin > 3)
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100 options = varargin{1};
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101 else
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102 options = odeset ();
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103 endif
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104
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105 if (! isempty (options.Mass))
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106 if (ischar (options.Mass))
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107 try
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108 options.Mass = str2func (options.Mass);
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109 catch
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110 warning (lasterr);
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111 end_try_catch
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112 if (! isa (options.Mass, "function_handle"))
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113 error ("Octave:invalid-input-arg",
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114 [solver ": invalid value assigned to field '%s'"], "Mass");
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115 endif
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116 endif
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117 endif
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
118
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
119 if (! isempty (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
120 if (ischar (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
121 try
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
122 options.Jacobian = str2func (options.Jacobian);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
123 catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
124 warning (lasterr);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
125 end_try_catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
126 if (! isa (options.Jacobian, "function_handle"))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
127 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
128 [solver ": invalid value assigned to field '%s'"], "Jacobian");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
129 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
130 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
131 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
132
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
133 if (! isempty (options.OutputFcn))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
134 if (ischar (options.OutputFcn))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
135 try
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
136 options.OutputFcn = str2func (options.OutputFcn);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
137 catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
138 warning (lasterr);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
139 end_try_catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
140 if (! isa (options.OutputFcn, "function_handle"))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
141 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
142 [solver ": invalid value assigned to field '%s'"], "OutputFcn");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
143 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
144 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
145 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
146
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
147 if (! isempty (options.Events))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
148 if (ischar (options.Events))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
149 try
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
150 options.Events = str2func (options.Events);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
151 catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
152 warning (lasterr);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
153 end_try_catch
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
154 if (! isa (options.Events, "function_handle"))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
155 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
156 [solver ": invalid value assigned to field '%s'"], "Events");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
157 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
158 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
159 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
160
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
161
22902
284bbb0328f2 Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22901
diff changeset
162 [defaults, classes, attributes] = ...
284bbb0328f2 Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22901
diff changeset
163 odedefaults (n, trange(1), trange(end));
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
164
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
165 classes = odeset (classes, 'Vectorized', {});
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
166 attributes = odeset (attributes, 'Jacobian', {}, 'Vectorized', {});
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
167
22902
284bbb0328f2 Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22901
diff changeset
168 options = ...
284bbb0328f2 Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22901
diff changeset
169 odemergeopts ("ode15s", options, defaults,
284bbb0328f2 Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
Carlo de Falco <carlo.defalco@polimi.it>
parents: 22901
diff changeset
170 classes, attributes, solver);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
171
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
172 ## Mass
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
173
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
174 options.havemassfun = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
175 options.havestatedep = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
176 options.havetimedep = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
177 options.havemasssparse = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
178
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
179 if (! isempty (options.Mass))
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
180 if (isa (options.Mass, "function_handle"))
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
181 options.havemassfun = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
182 if (nargin (options.Mass) == 2)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
183 options.havestatedep = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
184 M = options.Mass (trange(1), y0);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
185 options.havemasssparse = issparse (M);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
186 if (any (size (M) != [n n]) || ! isnumeric (M) || ! isreal (M))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
187 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
188 [solver ": invalid value assigned to field '%s'"], "Mass");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
189 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
190 elseif (nargin (options.Mass) == 1)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
191 options.havetimedep = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
192 M = options.Mass (trange(1));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
193 options.havemasssparse = issparse (M);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
194 if (any (size (M) != [n n]) || ! isnumeric (M) || ! isreal (M))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
195 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
196 [solver ": invalid value assigned to field '%s'"], "Mass");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
197 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
198 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
199 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
200 [solver ": invalid value assigned to field '%s'"], "Mass");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
201 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
202 elseif (ismatrix (options.Mass))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
203 options.havemasssparse = issparse (options.Mass);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
204 if (any (size (options.Mass) != [n n]) ||
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
205 ! isnumeric (options.Mass) || ! isreal (options.Mass))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
206 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
207 [solver ": invalid value assigned to field '%s'"], "Mass");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
208 endif
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
209 else
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
210 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
211 [solver ": invalid value assigned to field '%s'"], "Mass");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
212 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
213 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
214
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
215
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
216 ## Jacobian
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
217 options.havejac = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
218 options.havejacsparse = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
219 options.havejacfun = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
220
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
221 if (! isempty (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
222 options.havejac = true;
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
223 if (isa (options.Jacobian, "function_handle"))
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
224 options.havejacfun = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
225 if (nargin (options.Jacobian) == 2)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
226 [A] = options.Jacobian (trange(1), y0);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
227 if (issparse (A))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
228 options.havejacsparse = true; ## Jac is sparse fun
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
229 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
230 if (any (size (A) != [n n]) || ! isnumeric (A) || ! isreal (A))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
231 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
232 [solver ": invalid value assigned to field '%s'"], "Jacobian");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
233 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
234 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
235 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
236 [solver ": invalid value assigned to field '%s'"], "Jacobian");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
237 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
238 elseif (ismatrix (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
239 if (issparse (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
240 options.havejacsparse = true; ## Jac is sparse matrix
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
241 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
242 if (! issquare (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
243 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
244 [solver ": invalid value assigned to field '%s'"], "Jacobian");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
245 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
246 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
247 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
248 [solver ": invalid value assigned to field '%s'"], "Jacobian");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
249 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
250 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
251
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
252
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
253 ## Derivative of M(t,y) for implicit problem not implemented yet
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
254 if (! isempty (options.Mass) && ! isempty (options.Jacobian))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
255 if (options.MStateDependence != "none" || options.havestatedep == true)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
256 options.havejac = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
257 options.Jacobian = [];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
258 warning ("ode15s:mass_state_dependent_provided",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
259 ["with MStateDependence != 'none' an internal", ...
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
260 " approximation of Jacobian Matrix will be used.", ...
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
261 " Set MStateDependence equal to 'none' if you want ", ...
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
262 " to provide a constant or time-dependent Jacobian"]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
263 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
264 endif
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
265
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
266 ## Use sparse methods only if all matrices are sparse
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
267 if (! options.havemasssparse)
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
268 options.havejacsparse = false;
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
269 endif
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
270
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
271 ## If Mass or Jacobian is fun, then new Jacobian is fun
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
272 if (options.havejac)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
273 if (options.havejacfun || options.havetimedep)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
274 options.Jacobian = @ (t, y, yp) wrapjacfun (t, y, yp,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
275 options.Jacobian,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
276 options.Mass,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
277 options.havetimedep,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
278 options.havejacfun);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
279 options.havejacfun = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
280 else ## All matrices are constant
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
281 options.Jacobian = {[- options.Jacobian], [options.Mass]};
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
282
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
283 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
284 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
285
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
286
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
287
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
288 ## Abstol and Reltol
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
289
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
290 options.haveabstolvec = false;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
291
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
292 if (numel (options.AbsTol) != 1 && numel (options.AbsTol) != n)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
293 error ("Octave:invalid-input-arg",
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
294 [solver ": invalid value assigned to field '%s'"], "AbsTol");
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
295
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
296 elseif (numel (options.AbsTol) == n)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
297 options.haveabstolvec = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
298 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
299
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
300 ## Stats
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
301 options.havestats = false;
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
302 if (strcmp (options.Stats, "on"))
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
303 options.havestats = true;
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
304 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
305
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
306 ## Don't use Refine when the output is a structure
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
307 if (nargout == 1)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
308 options.Refine = 1;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
309 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
310
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
311 ## OutputFcn and OutputSel
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
312 if (isempty (options.OutputFcn) && nargout == 0)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
313 options.OutputFcn = @odeplot;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
314 options.haveoutputfunction = true;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
315 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
316 options.haveoutputfunction = ! isempty (options.OutputFcn);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
317 endif
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
318
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
319 options.haveoutputselection = ! isempty (options.OutputSel);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
320 if (options.haveoutputselection)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
321 options.OutputSel = options.OutputSel - 1;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
322 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
323
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
324 ## Events
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
325 options.haveeventfunction = ! isempty (options.Events);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
326
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
327 yp0 = options.InitialSlope;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
328
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
329
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
330 [t, y, te, ye, ie] = __ode15__ (@ (t, y, yp) wrap (t, y, yp, options.Mass,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
331 options.havetimedep,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
332 options.havestatedep,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
333 fun),
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
334 trange, y0, yp0, options);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
335
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
336 if (nargout == 2)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
337 varargout{1} = t;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
338 varargout{2} = y;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
339 elseif (nargout == 1)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
340 varargout{1}.x = t; # Time stamps are saved in field x
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
341 varargout{1}.y = y; # Results are saved in field y
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
342 varargout{1}.solver = solver;
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
343 if (options.haveeventfunction)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
344 varargout{1}.xe = te; # Time info when an event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
345 varargout{1}.ye = ye; # Results when an event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
346 varargout{1}.ie = ie; # Index info which event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
347 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
348 elseif (nargout == 5)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
349 varargout = cell (1,5);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
350 varargout{1} = t;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
351 varargout{2} = y;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
352 if (options.haveeventfunction)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
353 varargout{3} = te; # Time info when an event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
354 varargout{4} = ye; # Results when an event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
355 varargout{5} = ie; # Index info which event occurred
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
356 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
357 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
358
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
359 endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
360
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
361 function res = wrap (t, y, yp, Mass, havetimedep, havestatedep, fun)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
362
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
363 if (! isempty (Mass) && havestatedep)
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
364 res = Mass (t, y) * yp - fun (t, y);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
365 elseif (! isempty (Mass) && havetimedep)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
366 res = Mass (t) * yp - fun (t, y);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
367 elseif (! isempty (Mass))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
368 res = Mass * yp - fun (t, y);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
369 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
370 res = yp - fun (t, y);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
371 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
372
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
373 endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
374
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
375 function [jac, jact] = wrapjacfun (t, y, yp, Jac, Mass,
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
376 havetimedep, havejacfun)
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
377 if (havejacfun)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
378 jac = - Jac (t, y);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
379 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
380 jac = - Jac;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
381 endif
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
382
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
383 if (! isempty (Mass) && havetimedep)
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
384 jact = Mass (t);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
385 elseif (! isempty (Mass))
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
386 jact = Mass;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
387 else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
388 jact = speye (numel (y));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
389 endif
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
390
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
391 endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
392
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
393
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
394 %!demo
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
395 %!
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
396 %! ##Solve Robertson's equations with ode15s
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
397 %! fun = @ (t, y) [-0.04*y(1) + 1e4*y(2).*y(3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
398 %! 0.04*y(1) - 1e4*y(2).*y(3) - 3e7*y(2).^2;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
399 %! y(1) + y(2) + y(3) - 1 ];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
400 %!
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
401 %! y0 = [1; 0; 0];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
402 %! tspan = [0 4*logspace(-6, 6)];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
403 %! M = [1 0 0; 0 1 0; 0 0 0];
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
404 %!
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
405 %! options = odeset ('RelTol', 1e-4, 'AbsTol', [1e-6 1e-10 1e-6],
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
406 %! 'MStateDependence', 'none', 'Mass', M);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
407 %!
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
408 %! [t, y] = ode15s (fun, tspan, y0, options);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
409 %!
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
410 %! y (:,2) = 1e4 * y (:,2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
411 %! figure (2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
412 %! semilogx (t, y, 'o')
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
413 %! xlabel ('time');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
414 %! ylabel ('species concentration');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
415 %! title ('Robertson DAE problem with a Conservation Law');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
416 %! legend ('y1', 'y2', 'y3');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
417
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
418 %!function ydot = fpol (t, y) # The Van der Pol
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
419 %! ydot = [y(2); (1 - y(1)^2) * y(2) - y(1)];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
420 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
421 %!function ref = fref () # The computed reference sol
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
422 %! ref = [0.32331666704577, -1.83297456798624];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
423 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
424 %!function jac = fjac (t, y) # its Jacobian
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
425 %! jac = [0, 1; -1 - 2 * y(1) * y(2), 1 - y(1)^2];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
426 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
427 %!function jac = fjcc (t, y) # sparse type
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
428 %! jac = sparse ([0, 1; -1 - 2 * y(1) * y(2), 1 - y(1)^2]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
429 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
430 %!function mas = fmas (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
431 %! mas = [1, 0; 0, 1]; # Dummy mass matrix for tests
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
432 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
433 %!function mas = fmsa (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
434 %! mas = sparse ([1, 0; 0, 1]); # A sparse dummy matrix
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
435 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
436 %!function res = rob (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
437 %! res = [-0.04*y(1) + 1e4*y(2).*y(3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
438 %! 0.04*y(1) - 1e4*y(2).*y(3) - 3e7*y(2).^2;
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
439 %! y(1) + y(2) + y(3) - 1 ];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
440 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
441 %!
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
442 %!function refrob = frefrob()
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
443 %! refrob = [100, 0.617234887614937, 0.000006153591397, 0.382758958793666];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
444 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
445 %!function [val, isterminal, direction] = feve (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
446 %! isterminal = [0 1];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
447 %! if (t < 1e1)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
448 %! val = [-1, -2];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
449 %! else
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
450 %! val = [1 3];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
451 %! endif
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
452 %!
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
453 %! direction = [1 0];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
454 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
455 %!function masrob = massdensefunstate (t, y)
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
456 %! masrob = [1 0 0; 0 1 0; 0 0 0];
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
457 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
458 %!function masrob = masssparsefunstate (t, y)
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
459 %! masrob = sparse([1 0 0; 0 1 0; 0 0 0]);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
460 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
461 %!function masrob = massdensefuntime (t)
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
462 %! masrob = [1 0 0; 0 1 0; 0 0 0];
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
463 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
464 %!function masrob = masssparsefuntime (t)
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
465 %! masrob = sparse([1 0 0; 0 1 0; 0 0 0]);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
466 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
467 %!function jac = jacfundense (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
468 %! jac = [-0.04, 1e4*y(3), 1e4*y(2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
469 %! 0.04, -1e4*y(3)-6e7*y(2), -1e4*y(2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
470 %! 1, 1, 1];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
471 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
472 %!function jac = jacfunsparse (t, y)
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
473 %! jac = sparse([-0.04, 1e4*y(3), 1e4*y(2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
474 %! 0.04, -1e4*y(3)-6e7*y(2), -1e4*y(2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
475 %! 1, 1, 1]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
476 %!endfunction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
477
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
478
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
479
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
480 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
481 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
482 %! "Mass", [1 0 0; 0 1 0; 0 0 0]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
483 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
484 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
485 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
486 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
487 %! "Mass", sparse([1 0 0; 0 1 0; 0 0 0]));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
488 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
489 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
490 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
491 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
492 %! "Mass", @massdensefunstate);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
493 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
494 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
495 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
496 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
497 %! "Mass", @masssparsefunstate);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
498 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
499 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
500 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
501 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
502 %! "Mass", 'massdensefuntime');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
503 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
504 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
505 %!test
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
506 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
507 %! "Mass", [1 0 0; 0 1 0; 0 0 0],
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
508 %! "Jacobian", 'jacfundense');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
509 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
510 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
511 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
512 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
513 %! "Mass", sparse([1 0 0; 0 1 0; 0 0 0]),
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
514 %! "Jacobian", @jacfundense);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
515 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
516 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
517 %!test
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
518 %! warning ("off", "ode15s:mass_state_dependent_provided", "local");
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
519 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
520 %! "Mass", @massdensefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
521 %! "Jacobian", @jacfundense);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
522 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
523 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
524 %!test
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
525 %! warning ("off", "ode15s:mass_state_dependent_provided", "local");
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
526 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
527 %! "Mass", @masssparsefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
528 %! "Jacobian", @jacfundense);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
529 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
530 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
531 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
532 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
533 %! "Mass", @massdensefuntime,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
534 %! "Jacobian", @jacfundense);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
535 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
536 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
537 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
538 %! "Mass", 'masssparsefuntime',
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
539 %! "Jacobian", 'jacfundense');
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
540 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
541 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
542 %!test
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
543 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
544 %! "Mass", [1 0 0; 0 1 0; 0 0 0],
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
545 %! "Jacobian", @jacfunsparse);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
546 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
547 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
548 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
549 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
550 %! "Mass", sparse([1 0 0; 0 1 0; 0 0 0]),
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
551 %! "Jacobian", @jacfunsparse);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
552 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
553 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
554 %!test
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
555 %! warning ("off", "ode15s:mass_state_dependent_provided", "local");
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
556 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
557 %! "Mass", @massdensefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
558 %! "Jacobian", @jacfunsparse);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
559 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
560 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
561 %!test
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
562 %! warning ("off", "ode15s:mass_state_dependent_provided", "local");
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
563 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
564 %! "Mass", @masssparsefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
565 %! "Jacobian", @jacfunsparse);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
566 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
567 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
568 %!test
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
569 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
570 %! "Mass", @massdensefuntime,
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
571 %! "Jacobian", @jacfunsparse);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
572 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
573 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
574 %!test
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
575 %! opt = odeset ("MStateDependence", "none",
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
576 %! "Mass", @masssparsefuntime,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
577 %! "Jacobian", @jacfunsparse);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
578 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
579 %! assert ([t(end), y(end,:)], frefrob, 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
580 %!test # two output arguments
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
581 %! [t, y] = ode15s (@fpol, [0 2], [2 0]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
582 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
583 %!test # anonymous function instead of real function
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
584 %! fvdb = @(t,y) [y(2); (1 - y(1)^2) * y(2) - y(1)];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
585 %! [t, y] = ode15s (fvdb, [0 2], [2 0]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
586 %! assert ([t(end), y(end,:)], [2, fref], 1e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
587 %!test # Solve another anonymous function below zero
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
588 %! ref = [0, 14.77810590694212];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
589 %! [t, y] = ode15s (@(t,y) y, [-2 0], 2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
590 %! assert ([t(end), y(end,:)], ref, 5e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
591 %!test # InitialStep option
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
592 %! opt = odeset ("InitialStep", 1e-8);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
593 %! [t, y] = ode15s (@fpol, [0 0.2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
594 %! assert ([t(2)-t(1)], [1e-8], 1e-9);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
595 %!test # MaxStep option
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
596 %! opt = odeset ("MaxStep", 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
597 %! sol = ode15s (@fpol, [0 0.2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
598 %! assert ([sol.x(5)-sol.x(4)], [1e-3], 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
599 %!test # Solve in backward direction starting at t=0
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
600 %! ref = [-1.205364552835178, 0.951542399860817];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
601 %! sol = ode15s (@fpol, [0 -2], [2 0]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
602 %! assert ([sol.x(end), sol.y(end,:)], [-2, ref], 5e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
603 %!test # Solve in backward direction starting at t=2
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
604 %! ref = [-1.205364552835178, 0.951542399860817];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
605 %! sol = ode15s (@fpol, [2 0 -2], fref);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
606 %! assert ([sol.x(end), sol.y(end,:)], [-2, ref], 3e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
607 %!test # Solve another anonymous function in backward direction
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
608 %! ref = [-1, 0.367879437558975];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
609 %! sol = ode15s (@(t,y) y, [0 -1], 1);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
610 %! assert ([sol.x(end), sol.y(end,:)], ref, 1e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
611 %!test # Solve another anonymous function below zero
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
612 %! ref = [0, 14.77810590694212];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
613 %! sol = ode15s (@(t,y) y, [-2 0], 2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
614 %! assert ([sol.x(end), sol.y(end,:)], ref, 5e-2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
615 %!test # Solve in backward direction starting at t=0 with MaxStep option
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
616 %! ref = [-1.205364552835178, 0.951542399860817];
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
617 %! opt = odeset ("MaxStep", 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
618 %! sol = ode15s (@fpol, [0 -2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
619 %! assert ([abs(sol.x(8)-sol.x(7))], [1e-3], 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
620 %! assert ([sol.x(end), sol.y(end,:)], [-2, ref], 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
621 %!test # AbsTol option
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
622 %! opt = odeset ("AbsTol", 1e-5);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
623 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
624 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 4e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
625 %!test # AbsTol and RelTol option
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
626 %! opt = odeset ("AbsTol", 1e-8, "RelTol", 1e-8);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
627 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
628 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
629 %!test # RelTol option -- higher accuracy
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
630 %! opt = odeset ("RelTol", 1e-8);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
631 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
632 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 1e-4);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
633 %!test # Mass option as function
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
634 %! opt = odeset ("Mass", @fmas, "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
635 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
636 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 3e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
637 %!test # Mass option as matrix
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
638 %! opt = odeset ("Mass", eye (2,2), "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
639 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
640 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 3e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
641 %!test # Mass option as sparse matrix
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
642 %! opt = odeset ("Mass", sparse (eye (2,2)), "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
643 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
644 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 3e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
645 %!test # Mass option as function and sparse matrix
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
646 %! opt = odeset ("Mass", 'fmsa', "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
647 %! sol = ode15s (@fpol, [0 2], [2 0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
648 %! assert ([sol.x(end), sol.y(end,:)], [2, fref], 3e-3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
649 %!test # Refine
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
650 %! opt2 = odeset ("Refine", 3, "Mass", @massdensefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
651 %! "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
652 %! opt1 = odeset ("Mass", @massdensefunstate, "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
653 %! [t, y] = ode15s (@rob,[0 100], [1;0;0], opt1);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
654 %! [t2, y2] = ode15s (@rob,[0 100], [1;0;0], opt2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
655 %! assert ([numel(t2)], numel(t)*3, 3);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
656 %!test # Refine ignored if numel (trange) > 2
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
657 %! opt2 = odeset ("Refine", 3, "Mass", 'massdensefunstate',
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
658 %! "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
659 %! opt1 = odeset ("Mass", @massdensefunstate, "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
660 %! [t, y] = ode15s ('rob',[0 10 100], [1;0;0], opt1);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
661 %! [t2, y2] = ode15s ('rob',[0 10 100], [1;0;0], opt2);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
662 %! assert ([numel(t2)], numel(t));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
663 %!test # Events option add further elements in sol
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
664 %! opt = odeset ("Events", @feve, "Mass", @massdensefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
665 %! "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
666 %! sol = ode15s (@rob,[0 100], [1;0;0], opt);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
667 %! assert (isfield (sol, "ie"));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
668 %! assert (sol.ie, [0;1]);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
669 %! assert (isfield (sol, "xe"));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
670 %! assert (isfield (sol, "ye"));
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
671 %! assert (sol.x(end), 10, 1);
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
672 %!test # Events option, five output arguments
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
673 %! opt = odeset ("Events", @feve, "Mass", @massdensefunstate,
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
674 %! "MStateDependence", "none");
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
675 %! [t, y, te, ye, ie] = ode15s (@rob,[0 100], [1;0;0], opt);
22910
23847979b91e maint: Strip trailing whitespace from source files.
John W. Eaton <jwe@octave.org>
parents: 22902
diff changeset
676 %! assert ([t(end), te', ie'], [10, 10, 10, 0, 1], [1, 0.5, 0.5, 0, 0]);
22901
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
677
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
678
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
679
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
680
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
681
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
682
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
683
4c56f3ffec04 Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff changeset
684