Mercurial > octave-nkf
annotate scripts/ode/private/integrate_const.m @ 20568:fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
* libinterp/corefcn/levenshtein.cc: move function from odepkg into core
* libinterp/corefcn/module.mk: include levenshtein.cc
* scripts/ode: move ode45, odeset, odeget, and all dependencies
from odepkg into core
* scripts/module.mk: include them
* doc/interpreter/diffeq.txi: add documentation for ode45,
odeset, odeget
* NEWS: announce functions included with this changeset
* scripts/help/__unimplemented__.m: removed new functions
author | jcorno <jacopo.corno@gmail.com> |
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date | Thu, 24 Sep 2015 12:58:46 +0200 |
parents | |
children | 6256f6e366ac |
rev | line source |
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20568
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1 ## Copyright (C) 2013, Roberto Porcu' <roberto.porcu@polimi.it> |
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2 ## OdePkg - A package for solving ordinary differential equations and more |
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3 ## |
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4 ## This program is free software; you can redistribute it and/or modify |
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5 ## it under the terms of the GNU General Public License as published by |
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6 ## the Free Software Foundation; either version 2 of the License, or |
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7 ## (at your option) any later version. |
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8 ## |
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9 ## This program is distributed in the hope that it will be useful, |
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10 ## but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 ## GNU General Public License for more details. |
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13 ## |
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14 ## You should have received a copy of the GNU General Public License |
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15 ## along with this program; If not, see <http://www.gnu.org/licenses/>. |
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16 |
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17 |
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18 ## -*- texinfo -*- |
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19 ## @deftypefn {Command} {[@var{t}, @var{y}] =} integrate_const (@var{@@stepper}, |
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20 ## @var{@@fun}, @var{tspan}, @var{x0}, @var{dt}, @var{options}) |
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21 ## |
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22 ## This function file can be called by an ODE solver function in order to |
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23 ## integrate the set of ODEs on the interval @var{[t0,t1]} with a |
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24 ## constant timestep @var{dt}. |
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25 ## |
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26 ## This function must be called with two output arguments: @var{t} and @var{y}. |
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27 ## Variable @var{t} is a column vector and contains the time stamps, |
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28 ## instead @var{y} is a matrix in which each column refers to a different |
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29 ## unknown of the problem and the rows number is the same of @var{t} rows |
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30 ## number so that each row of @var{y} contains the values of all unknowns at |
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31 ## the time value contained in the corresponding row in @var{t}. |
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32 ## |
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33 ## The first input argument must be a function_handle or an inline function |
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34 ## representing the stepper, that is the function responsible for step-by-step |
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35 ## integration. This function discriminates one method from the others. |
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36 ## |
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37 ## The second input argument is the order of the stepper. It is needed to |
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38 ## compute the adaptive timesteps. |
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39 ## |
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40 ## The third input argument is a function_handle or an inline function |
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41 ## that defines the set of ODE: |
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42 ## |
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43 ## @ifhtml |
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44 ## @example |
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45 ## @math{y' = f(t,y)} |
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46 ## @end example |
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47 ## @end ifhtml |
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48 ## @ifnothtml |
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49 ## @math{y' = f(t,y)}. |
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50 ## @end ifnothtml |
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51 ## |
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52 ## The third input argument is the time vector which defines integration |
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53 ## interval, that is @var{[tspan(1),tspan(end)]} and all the intermediate |
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54 ## elements are taken as times at which the solution is required. |
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55 ## |
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56 ## The fourth argument contains the initial conditions for the ODEs. |
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57 ## |
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58 ## The fifth input argument represents the fixed timestep and the last input |
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59 ## argument contains some options that may be needed for the stepper. |
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60 ## @end deftypefn |
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61 ## |
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62 ## @seealso{integrate_adaptive, integrate_n_steps} |
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63 |
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64 function solution = integrate_const (stepper, func, tspan, x0, dt, options) |
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65 |
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66 solution = struct; |
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67 |
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68 ## first values for time and solution |
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69 t = tspan(1); |
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70 x = x0(:); |
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71 |
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72 vdirection = odeget (options, "vdirection", [], "fast"); |
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73 if (sign (dt) != vdirection) |
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74 error ("OdePkg:InvalidArgument", |
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75 "option ''InitialStep'' has a wrong sign"); |
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76 endif |
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77 |
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78 ## setting parameters |
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79 k = length (tspan); |
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80 counter = 2; |
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81 comp = 0.0; |
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82 tk = tspan(1); |
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83 options.comp = comp; |
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84 |
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85 ## Initialize the OutputFcn |
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86 if (options.vhaveoutputfunction) |
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87 if (options.vhaveoutputselection) |
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88 solution.vretout = x(options.OutputSel,end); |
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89 else |
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90 solution.vretout = x; |
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91 endif |
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92 feval (options.OutputFcn, tspan, solution.vretout, "init", |
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93 options.vfunarguments{:}); |
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94 endif |
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95 |
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96 ## Initialize the EventFcn |
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97 if (options.vhaveeventfunction) |
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98 odepkg_event_handle (options.Events, t(end), x, "init", |
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99 options.vfunarguments{:}); |
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100 endif |
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101 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
102 solution.vcntloop = 2; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
103 solution.vcntcycles = 1; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
104 #vu = vinit; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
105 #vk = vu.' * zeros(1,6); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
106 vcntiter = 0; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
107 solution.vunhandledtermination = true; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
108 solution.vcntsave = 2; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
109 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
110 z = t; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
111 u = x; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
112 k_vals = feval (func, t , x, options.vfunarguments{:}); |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
113 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
114 while (counter <= k) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
115 ## computing the integration step from t to t+dt |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
116 [s, y, ~, k_vals] = stepper (func, z(end), u(:,end), dt, options, k_vals); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
117 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
118 [tk, comp] = kahan (tk,comp, dt); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
119 options.comp = comp; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
120 s(end) = tk; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
121 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
122 if (options.vhavenonnegative) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
123 x(options.NonNegative,end) = abs (x(options.NonNegative,end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
124 y(options.NonNegative,end) = abs (y(options.NonNegative,end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
125 y_est(options.NonNegative,end) = abs (y_est(options.NonNegative,end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
126 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
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changeset
|
127 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
128 if (options.vhaveoutputfunction && options.vhaverefine) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
129 vSaveVUForRefine = u(:,end); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
130 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
131 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
132 ## values on this interval for time and solution |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
133 z = [t(end);s]; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
134 u = [x(:,end),y]; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
135 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
136 ## if next tspan value is caught, update counter |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
137 if ((z(end) == tspan(counter)) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
138 || (abs (z(end) - tspan(counter)) / |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
139 (max(abs (z(end)), abs(tspan(counter)))) < 8*eps) ) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
140 counter++; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
141 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
142 ## if there is an element in time vector at which the solution is required |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
143 ## the program must compute this solution before going on with next steps |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
144 elseif (vdirection * z(end) > vdirection * tspan(counter) ) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
145 ## initializing counter for the following cycle |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
146 i = 2; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
147 while (i <= length (z)) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
148 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
149 ## if next tspan value is caught, update counter |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
150 if ((counter <= k) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
151 && (((z(i) == tspan(counter)) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
152 || (abs (z(i) - tspan(counter)) / |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
153 (max(abs (z(i)), abs (tspan(counter)))) < 8*eps))) ) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
154 counter++; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
155 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
156 ## else, loop until there are requested values inside this subinterval |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
157 while ((counter <= k) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
158 && vdirection * z(i) > vdirection * tspan(counter) ) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
159 ## add the interpolated value of the solution |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
160 u = [u(:,1:i-1),u(:,i-1) + (tspan(counter)-z(i-1))/(z(i)-z(i-1))* ... |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
161 (u(:,i)-u(:,i-1)),u(:,i:end)]; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
162 ## add the time requested |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
163 z = [z(1:i-1);tspan(counter);z(i:end)]; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
164 |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
165 ## update counters |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
166 counter++; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
167 i++; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
168 endwhile |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
169 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
170 ## if new time requested is not out of this interval |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
171 if ((counter <= k) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
172 && vdirection * z(end) > vdirection * tspan(counter)) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
173 ## update the counter |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
174 i++; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
175 else |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
176 ## else, stop the cycle and go on with the next iteration |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
177 i = length (z)+1; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
178 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
179 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
180 endwhile |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
181 endif |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
182 |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
183 if (mod (solution.vcntloop-1, options.OutputSave) == 0) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
184 x = [x,u(:,2:end)]; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
185 t = [t;z(2:end)]; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
186 solution.vcntsave = solution.vcntsave + 1; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
187 endif |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
188 solution.vcntloop = solution.vcntloop + 1; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
189 vcntiter = 0; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
190 |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
191 ## Call plot only if a valid result has been found, therefore this |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
192 ## code fragment has moved here. Stop integration if plot function |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
193 ## returns false |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
194 if (options.vhaveoutputfunction) |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
195 for vcnt = 0:options.Refine # Approximation between told and t |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
196 if (options.vhaverefine) # Do interpolation |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
197 vapproxtime = (vcnt + 1) / (options.Refine + 2); |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
198 vapproxvals = (1 - vapproxtime) * vSaveVUForRefine ... |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
199 + (vapproxtime) * y(:,end); |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
200 vapproxtime = s(end) + vapproxtime*dt; |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
201 else |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
202 vapproxvals = x(:,end); |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
203 vapproxtime = t(end); |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
204 endif |
fcb792acab9b
Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
jcorno <jacopo.corno@gmail.com>
parents:
diff
changeset
|
205 if (options.vhaveoutputselection) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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206 vapproxvals = vapproxvals(options.OutputSel); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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207 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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208 vpltret = feval (options.OutputFcn, vapproxtime, vapproxvals, [], |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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209 options.vfunarguments{:}); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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210 if (vpltret) # Leave refinement loop |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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211 break |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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212 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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213 endfor |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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214 if (vpltret) # Leave main loop |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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215 solution.vunhandledtermination = false; |
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216 break |
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217 endif |
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218 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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219 |
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220 ## Call event only if a valid result has been found, therefore this |
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221 ## code fragment has moved here. Stop integration if veventbreak is true |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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222 if (options.vhaveeventfunction) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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223 solution.vevent = odepkg_event_handle (options.Events, t(end), x(:,end), |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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224 [], options.vfunarguments{:}); |
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225 if (! isempty (solution.vevent{1}) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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226 && solution.vevent{1} == 1) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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227 t(solution.vcntloop-1,:) = solution.vevent{3}(end,:); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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228 x(:,solution.vcntloop-1) = solution.vevent{4}(end,:)'; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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229 solution.vunhandledtermination = false; |
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230 break |
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231 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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232 endif |
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233 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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234 ## Update counters that count the number of iteration cycles |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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235 solution.vcntcycles = solution.vcntcycles + 1; # Needed for cost statistics |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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236 vcntiter = vcntiter + 1; # Needed to find iteration problems |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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237 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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238 ## Stop solving because the last 1000 steps no successful valid |
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239 ## value has been found |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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240 if (vcntiter >= 5000) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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241 error (["Solving has not been successful. The iterative", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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242 " integration loop exited at time t = %f before endpoint at", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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243 " tend = %f was reached. This happened because the iterative", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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244 " integration loop does not find a valid solution at this time", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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245 " stamp. Try to reduce the value of ''InitialStep'' and/or", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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246 " ''MaxStep'' with the command ''odeset''.\n"], |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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247 s(end), tspan(end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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248 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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249 |
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250 ## if this is the last iteration, save the length of last interval |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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251 if (counter > k) |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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252 j = length (z); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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253 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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254 endwhile |
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255 |
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256 ## Check if integration of the ode has been successful |
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257 if (vdirection * z(end) < vdirection * tspan(end)) |
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258 if (solution.vunhandledtermination == true) |
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259 error ("OdePkg:InvalidArgument", |
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260 ["Solving has not been successful. The iterative integration loop", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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261 " exited at time t = %f before endpoint at tend = %f was", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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262 " reached. This may happen if the stepsize grows smaller than", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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263 " defined in vminstepsize. Try to reduce the value of", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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264 " ''InitialStep'' and/or ''MaxStep'' with the command", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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265 " ''odeset''.\n"], z(end), tspan(end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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266 else |
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267 warning ("OdePkg:InvalidArgument", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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268 ["Solver has been stopped by a call of ''break'' in the main", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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269 " iteration loop at time t = %f before endpoint at tend = %f", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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270 " was reached. This may happen because the @odeplot function", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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271 " returned ''true'' or the @event function returned", |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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272 " ''true''.\n"], |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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273 z(end), tspan(end)); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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274 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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275 endif |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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|
276 |
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277 ## compute how many values are out of time inerval |
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278 d = vdirection * t((end-(j-1)):end) > vdirection * tspan(end) * ones (j, 1); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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279 f = sum (d); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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|
280 |
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281 ## remove not-requested values of time and solution |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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282 solution.t = t(1:end-f); |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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|
283 solution.x = x(:,1:end-f)'; |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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|
284 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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parents:
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|
285 endfunction |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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parents:
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|
286 |
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Moving ode45, odeset, odeget, and levenshtein from odepkg to core.
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|
287 ## Local Variables: *** |
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|
288 ## mode: octave *** |
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289 ## End: *** |