Mercurial > octave
annotate scripts/ode/ode15s.m @ 22902:284bbb0328f2
Update odei5{i,s} code for Octave 4.3.0+ and Sundials 2.7.0.
* libinterp/dldfunctions/__ode15__.cc : Specify CSC format for sparse matrices,
use new API function name for clearing sparse matrix.
* scripts/ode/ode15{i,s}.m : use correct calling sequence for odemergeoptions.
author | Carlo de Falco <carlo.defalco@polimi.it> |
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date | Tue, 01 Nov 2016 06:41:29 +0100 |
parents | 4c56f3ffec04 |
children | 23847979b91e |
rev | line source |
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22901
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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 (); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
103 endif |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
104 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
105 if (! isempty (options.Mass)) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
106 if (ischar (options.Mass)) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
107 try |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
108 options.Mass = str2func (options.Mass); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
109 catch |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
110 warning (lasterr); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
111 end_try_catch |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
112 if (! isa (options.Mass, "function_handle")) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
113 error ("Octave:invalid-input-arg", |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
114 [solver ": invalid value assigned to field '%s'"], "Mass"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
115 endif |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
116 endif |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
117 endif |
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)) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
180 if (isa (options.Mass, "function_handle")) |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
209 else |
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; |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
223 if (isa (options.Jacobian, "function_handle")) |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
265 |
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) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
268 options.havejacsparse = false; |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
269 endif |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
270 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
271 ## If Mass or Jacobian is fun, then new Jacobian is fun |
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]}; |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
282 |
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"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
295 |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
301 options.havestats = false; |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
302 if (strcmp (options.Stats, "on")) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
303 options.havestats = true; |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
318 |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
342 varargout{1}.solver = solver; |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
363 if (! isempty (Mass) && havestatedep) |
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, |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
376 havetimedep, havejacfun) |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
383 if (! isempty (Mass) && havetimedep) |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
390 |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
395 %! |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
396 %! ##Solve Robertson's equations with ode15s |
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]; |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
404 %! |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
452 %! |
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) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
456 %! masrob = [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
|
457 %!endfunction |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
458 %!function masrob = masssparsefunstate (t, y) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
459 %! masrob = 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
|
460 %!endfunction |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
461 %!function masrob = massdensefuntime (t) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
462 %! masrob = [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
|
463 %!endfunction |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
464 %!function masrob = masssparsefuntime (t) |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
465 %! masrob = 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
|
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
481 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
486 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
491 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
496 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
501 %! opt = odeset ("MStateDependence", "none", |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
504 %! assert ([t(end), y(end,:)], frefrob, 1e-3); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
505 %!test |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
506 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
512 %! opt = odeset ("MStateDependence", "none", |
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]), |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
514 %! "Jacobian", @jacfundense); |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
517 %!test |
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"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
519 %! opt = odeset ("MStateDependence", "none", |
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"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
526 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
532 %! opt = odeset ("MStateDependence", "none", |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
536 %! assert ([t(end), y(end,:)], frefrob, 1e-3); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
537 %! opt = odeset ("MStateDependence", "none", |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
541 %! assert ([t(end), y(end,:)], frefrob, 1e-3); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
542 %!test |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
543 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
549 %! opt = odeset ("MStateDependence", "none", |
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]), |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
551 %! "Jacobian", @jacfunsparse); |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
553 %! assert ([t(end), y(end,:)], frefrob, 1e-3); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
554 %!test |
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"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
556 %! opt = odeset ("MStateDependence", "none", |
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"); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
563 %! opt = odeset ("MStateDependence", "none", |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
569 %! opt = odeset ("MStateDependence", "none", |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
570 %! "Mass", @massdensefuntime, |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
571 %! "Jacobian", @jacfunsparse); |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
573 %! assert ([t(end), y(end,:)], frefrob, 1e-3); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
574 %!test |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
575 %! opt = odeset ("MStateDependence", "none", |
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); |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
676 %! assert ([t(end), te', ie'], [10, 10, 10, 0, 1], [1, 0.5, 0.5, 0, 0]); |
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 |
4c56f3ffec04
Add functions ode15i and ode15s
Francesco Faccio <francesco.faccio@mail.polimi.it>
parents:
diff
changeset
|
685 |