Mercurial > hg > octave-lyh
annotate libinterp/corefcn/dassl.cc @ 17289:bc924baa2c4e
doc: Add new @qcode macro for code samples which are quoted.
Macro handles options ("on") or properties ("position") more elegantly
than @code{"text"}.
* doc/interpreter/macros.texi: Add new @qcode macro.
* doc/interpreter/tips.txi: Add documentation about @qcode macro.
* doc/interpreter/basics.txi, doc/interpreter/container.txi,
doc/interpreter/emacs.txi, doc/interpreter/errors.txi,
doc/interpreter/eval.txi, doc/interpreter/expr.txi,
doc/interpreter/external.txi, doc/interpreter/func.txi,
doc/interpreter/grammar.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/io.txi, doc/interpreter/matrix.txi,
doc/interpreter/numbers.txi, doc/interpreter/oop.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/quad.txi, doc/interpreter/sparse.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/vectorize.txi, libinterp/corefcn/balance.cc,
libinterp/corefcn/bitfcns.cc, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/conv2.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc,
libinterp/corefcn/dirfns.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/error.cc, libinterp/corefcn/file-io.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/help.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lu.cc,
libinterp/corefcn/luinc.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/oct-hist.cc, libinterp/corefcn/pager.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/symtab.cc,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/toplev.cc,
libinterp/corefcn/tril.cc, libinterp/corefcn/typecast.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-mat.cc, scripts/@ftp/ftp.m,
scripts/deprecated/java_convert_matrix.m, scripts/deprecated/java_debug.m,
scripts/deprecated/java_unsigned_conversion.m, scripts/deprecated/shell_cmd.m,
scripts/general/dblquad.m, scripts/general/display.m,
scripts/general/genvarname.m, scripts/general/idivide.m,
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scripts/general/interp3.m, scripts/general/interpn.m, scripts/general/isa.m,
scripts/general/profexplore.m, scripts/general/profile.m,
scripts/general/quadgk.m, scripts/general/randi.m, scripts/general/structfun.m,
scripts/general/subsindex.m, scripts/general/triplequad.m,
scripts/geometry/griddata.m, scripts/geometry/griddata3.m,
scripts/geometry/griddatan.m, scripts/geometry/voronoi.m, scripts/help/help.m,
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scripts/image/rgb2ind.m, scripts/image/spinmap.m, scripts/io/dlmwrite.m,
scripts/io/strread.m, scripts/io/textread.m, scripts/io/textscan.m,
scripts/java/javaclasspath.m, scripts/java/usejava.m,
scripts/miscellaneous/bzip2.m, scripts/miscellaneous/computer.m,
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scripts/miscellaneous/gzip.m, scripts/miscellaneous/license.m,
scripts/miscellaneous/mkoctfile.m, scripts/miscellaneous/movefile.m,
scripts/miscellaneous/parseparams.m, scripts/miscellaneous/unix.m,
scripts/optimization/fminbnd.m, scripts/optimization/fminsearch.m,
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scripts/optimization/fzero.m, scripts/optimization/glpk.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/optimset.m,
scripts/optimization/pqpnonneg.m, scripts/pkg/pkg.m, scripts/plot/allchild.m,
scripts/plot/ancestor.m, scripts/plot/area.m, scripts/plot/axis.m,
scripts/plot/bar.m, scripts/plot/barh.m, scripts/plot/box.m,
scripts/plot/caxis.m, scripts/plot/cla.m, scripts/plot/clabel.m,
scripts/plot/clf.m, scripts/plot/close.m, scripts/plot/colorbar.m,
scripts/plot/daspect.m, scripts/plot/ezmesh.m, scripts/plot/ezmeshc.m,
scripts/plot/ezsurf.m, scripts/plot/ezsurfc.m, scripts/plot/findall.m,
scripts/plot/findobj.m, scripts/plot/gcbo.m, scripts/plot/gcf.m,
scripts/plot/gco.m, scripts/plot/grid.m, scripts/plot/guihandles.m,
scripts/plot/hdl2struct.m, scripts/plot/hidden.m, scripts/plot/hold.m,
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scripts/plot/mesh.m, scripts/plot/meshc.m, scripts/plot/meshz.m,
scripts/plot/newplot.m, scripts/plot/orient.m, scripts/plot/pareto.m,
scripts/plot/patch.m, scripts/plot/pbaspect.m, scripts/plot/pcolor.m,
scripts/plot/plot.m, scripts/plot/print.m,
scripts/plot/private/__add_default_menu__.m, scripts/plot/quiver.m,
scripts/plot/quiver3.m, scripts/plot/refreshdata.m, scripts/plot/saveas.m,
scripts/plot/scatter.m, scripts/plot/scatter3.m, scripts/plot/shading.m,
scripts/plot/shrinkfaces.m, scripts/plot/slice.m, scripts/plot/stem.m,
scripts/plot/stem3.m, scripts/plot/struct2hdl.m, scripts/plot/subplot.m,
scripts/plot/surf.m, scripts/plot/surfc.m, scripts/plot/surfl.m,
scripts/plot/tetramesh.m, scripts/plot/uigetfile.m, scripts/plot/uimenu.m,
scripts/plot/uiputfile.m, scripts/plot/waterfall.m, scripts/plot/whitebg.m,
scripts/plot/xlim.m, scripts/plot/ylim.m, scripts/plot/zlim.m,
scripts/polynomial/conv.m, scripts/polynomial/polyout.m,
scripts/polynomial/splinefit.m, scripts/set/ismember.m, scripts/set/powerset.m,
scripts/set/setdiff.m, scripts/set/union.m, scripts/set/unique.m,
scripts/signal/detrend.m, scripts/signal/filter2.m, scripts/signal/freqz.m,
scripts/signal/periodogram.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/sparse/eigs.m, scripts/sparse/svds.m,
scripts/specfun/legendre.m, scripts/special-matrix/gallery.m,
scripts/statistics/base/mean.m, scripts/statistics/base/moment.m,
scripts/statistics/tests/cor_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test_2.m,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/sign_test.m,
scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m,
scripts/statistics/tests/t_test_regression.m,
scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m,
scripts/statistics/tests/welch_test.m,
scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m,
scripts/statistics/tests/z_test_2.m, scripts/strings/base2dec.m,
scripts/strings/index.m, scripts/strings/isstrprop.m,
scripts/strings/mat2str.m, scripts/strings/regexptranslate.m,
scripts/strings/rindex.m, scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjust.m, scripts/strings/strmatch.m,
scripts/strings/validatestring.m, scripts/testfun/demo.m,
scripts/testfun/example.m, scripts/testfun/test.m, scripts/time/addtodate.m,
scripts/time/asctime.m, scripts/time/datestr.m, scripts/time/datetick.m,
scripts/time/weekday.m, scripts/ui/errordlg.m, scripts/ui/helpdlg.m,
scripts/ui/inputdlg.m, scripts/ui/listdlg.m, scripts/ui/msgbox.m,
scripts/ui/questdlg.m, scripts/ui/warndlg.m: Use new @qcode macro.
author | Rik <rik@octave.org> |
---|---|
date | Mon, 19 Aug 2013 20:46:38 -0700 |
parents | 781916090eb1 |
children |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2012 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
27 #include <string> | |
28 | |
3567 | 29 #include <iomanip> |
3523 | 30 #include <iostream> |
2928 | 31 |
32 #include "DASSL.h" | |
33 | |
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34 #include "defun.h" |
2928 | 35 #include "error.h" |
36 #include "gripes.h" | |
37 #include "oct-obj.h" | |
2968 | 38 #include "ov-fcn.h" |
5729 | 39 #include "ov-cell.h" |
2928 | 40 #include "pager.h" |
3243 | 41 #include "unwind-prot.h" |
2928 | 42 #include "utils.h" |
43 #include "variables.h" | |
44 | |
3998 | 45 #include "DASSL-opts.cc" |
46 | |
2928 | 47 // Global pointer for user defined function required by dassl. |
2968 | 48 static octave_function *dassl_fcn; |
2928 | 49 |
3991 | 50 // Global pointer for optional user defined jacobian function. |
51 static octave_function *dassl_jac; | |
52 | |
4140 | 53 // Have we warned about imaginary values returned from user function? |
54 static bool warned_fcn_imaginary = false; | |
55 static bool warned_jac_imaginary = false; | |
56 | |
3243 | 57 // Is this a recursive call? |
58 static int call_depth = 0; | |
59 | |
2928 | 60 ColumnVector |
3849 | 61 dassl_user_function (const ColumnVector& x, const ColumnVector& xdot, |
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62 double t, octave_idx_type& ires) |
2928 | 63 { |
64 ColumnVector retval; | |
65 | |
4628 | 66 assert (x.capacity () == xdot.capacity ()); |
2928 | 67 |
68 octave_value_list args; | |
4628 | 69 |
2928 | 70 args(2) = t; |
4628 | 71 args(1) = xdot; |
72 args(0) = x; | |
2928 | 73 |
74 if (dassl_fcn) | |
75 { | |
3544 | 76 octave_value_list tmp = dassl_fcn->do_multi_index_op (1, args); |
2928 | 77 |
78 if (error_state) | |
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79 { |
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80 gripe_user_supplied_eval ("dassl"); |
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81 return retval; |
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82 } |
2928 | 83 |
3849 | 84 int tlen = tmp.length (); |
85 if (tlen > 0 && tmp(0).is_defined ()) | |
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86 { |
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87 if (! warned_fcn_imaginary && tmp(0).is_complex_type ()) |
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88 { |
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89 warning ("dassl: ignoring imaginary part returned from user-supplied function"); |
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90 warned_fcn_imaginary = true; |
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91 } |
4140 | 92 |
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93 retval = ColumnVector (tmp(0).vector_value ()); |
2928 | 94 |
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95 if (tlen > 1) |
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96 ires = tmp(1).int_value (); |
3849 | 97 |
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98 if (error_state || retval.length () == 0) |
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99 gripe_user_supplied_eval ("dassl"); |
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100 } |
2928 | 101 else |
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102 gripe_user_supplied_eval ("dassl"); |
2928 | 103 } |
104 | |
105 return retval; | |
106 } | |
107 | |
3991 | 108 Matrix |
109 dassl_user_jacobian (const ColumnVector& x, const ColumnVector& xdot, | |
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110 double t, double cj) |
3991 | 111 { |
112 Matrix retval; | |
113 | |
4628 | 114 assert (x.capacity () == xdot.capacity ()); |
3991 | 115 |
116 octave_value_list args; | |
117 | |
118 args(3) = cj; | |
119 args(2) = t; | |
4628 | 120 args(1) = xdot; |
121 args(0) = x; | |
3991 | 122 |
123 if (dassl_jac) | |
124 { | |
125 octave_value_list tmp = dassl_jac->do_multi_index_op (1, args); | |
126 | |
127 if (error_state) | |
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128 { |
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129 gripe_user_supplied_eval ("dassl"); |
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130 return retval; |
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131 } |
3991 | 132 |
133 int tlen = tmp.length (); | |
134 if (tlen > 0 && tmp(0).is_defined ()) | |
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135 { |
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136 if (! warned_jac_imaginary && tmp(0).is_complex_type ()) |
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137 { |
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138 warning ("dassl: ignoring imaginary part returned from user-supplied jacobian function"); |
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139 warned_jac_imaginary = true; |
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140 } |
4140 | 141 |
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142 retval = tmp(0).matrix_value (); |
3991 | 143 |
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144 if (error_state || retval.length () == 0) |
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145 gripe_user_supplied_eval ("dassl"); |
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146 } |
3991 | 147 else |
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148 gripe_user_supplied_eval ("dassl"); |
3991 | 149 } |
150 | |
151 return retval; | |
152 } | |
153 | |
3323 | 154 #define DASSL_ABORT() \ |
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155 return retval |
3323 | 156 |
157 #define DASSL_ABORT1(msg) \ | |
158 do \ | |
159 { \ | |
3747 | 160 ::error ("dassl: " msg); \ |
3323 | 161 DASSL_ABORT (); \ |
162 } \ | |
163 while (0) | |
164 | |
165 #define DASSL_ABORT2(fmt, arg) \ | |
166 do \ | |
167 { \ | |
3747 | 168 ::error ("dassl: " fmt, arg); \ |
3323 | 169 DASSL_ABORT (); \ |
170 } \ | |
171 while (0) | |
172 | |
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173 DEFUN (dassl, args, nargout, |
3373 | 174 "-*- texinfo -*-\n\ |
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175 @deftypefn {Built-in Function} {[@var{x}, @var{xdot}, @var{istate}, @var{msg}] =} dassl (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit})\n\ |
4115 | 176 Solve the set of differential-algebraic equations\n\ |
177 @tex\n\ | |
4852 | 178 $$ 0 = f (x, \\dot{x}, t) $$\n\ |
4115 | 179 with\n\ |
180 $$ x(t_0) = x_0, \\dot{x}(t_0) = \\dot{x}_0 $$\n\ | |
181 @end tex\n\ | |
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182 @ifnottex\n\ |
4115 | 183 \n\ |
184 @example\n\ | |
4698 | 185 0 = f (x, xdot, t)\n\ |
4115 | 186 @end example\n\ |
187 \n\ | |
4912 | 188 @noindent\n\ |
4115 | 189 with\n\ |
190 \n\ | |
191 @example\n\ | |
192 x(t_0) = x_0, xdot(t_0) = xdot_0\n\ | |
193 @end example\n\ | |
194 \n\ | |
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195 @end ifnottex\n\ |
4115 | 196 The solution is returned in the matrices @var{x} and @var{xdot},\n\ |
197 with each row in the result matrices corresponding to one of the\n\ | |
3373 | 198 elements in the vector @var{t}. The first element of @var{t}\n\ |
4115 | 199 should be @math{t_0} and correspond to the initial state of the\n\ |
200 system @var{x_0} and its derivative @var{xdot_0}, so that the first\n\ | |
201 row of the output @var{x} is @var{x_0} and the first row\n\ | |
202 of the output @var{xdot} is @var{xdot_0}.\n\ | |
3373 | 203 \n\ |
8787 | 204 The first argument, @var{fcn}, is a string, inline, or function handle\n\ |
205 that names the function @math{f} to call to compute the vector of\n\ | |
206 residuals for the set of equations. It must have the form\n\ | |
3373 | 207 \n\ |
208 @example\n\ | |
209 @var{res} = f (@var{x}, @var{xdot}, @var{t})\n\ | |
210 @end example\n\ | |
2928 | 211 \n\ |
3373 | 212 @noindent\n\ |
4115 | 213 in which @var{x}, @var{xdot}, and @var{res} are vectors, and @var{t} is a\n\ |
3373 | 214 scalar.\n\ |
215 \n\ | |
8787 | 216 If @var{fcn} is a two-element string array or a two-element cell array\n\ |
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217 of strings, inline functions, or function handles, the first element names\n\ |
8787 | 218 the function @math{f} described above, and the second element names a\n\ |
219 function to compute the modified Jacobian\n\ | |
4115 | 220 \n\ |
221 @tex\n\ | |
222 $$\n\ | |
223 J = {\\partial f \\over \\partial x}\n\ | |
224 + c {\\partial f \\over \\partial \\dot{x}}\n\ | |
225 $$\n\ | |
226 @end tex\n\ | |
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227 @ifnottex\n\ |
10840 | 228 \n\ |
4888 | 229 @example\n\ |
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230 @group\n\ |
4115 | 231 df df\n\ |
232 jac = -- + c ------\n\ | |
233 dx d xdot\n\ | |
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234 @end group\n\ |
4115 | 235 @end example\n\ |
10840 | 236 \n\ |
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237 @end ifnottex\n\ |
4115 | 238 \n\ |
239 The modified Jacobian function must have the form\n\ | |
240 \n\ | |
241 @example\n\ | |
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242 @group\n\ |
4115 | 243 \n\ |
244 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{c})\n\ | |
245 \n\ | |
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246 @end group\n\ |
4115 | 247 @end example\n\ |
248 \n\ | |
3373 | 249 The second and third arguments to @code{dassl} specify the initial\n\ |
250 condition of the states and their derivatives, and the fourth argument\n\ | |
4115 | 251 specifies a vector of output times at which the solution is desired,\n\ |
3373 | 252 including the time corresponding to the initial condition.\n\ |
2928 | 253 \n\ |
3373 | 254 The set of initial states and derivatives are not strictly required to\n\ |
10840 | 255 be consistent. In practice, however, @sc{dassl} is not very good at\n\ |
3373 | 256 determining a consistent set for you, so it is best if you ensure that\n\ |
257 the initial values result in the function evaluating to zero.\n\ | |
2928 | 258 \n\ |
3373 | 259 The fifth argument is optional, and may be used to specify a set of\n\ |
260 times that the DAE solver should not integrate past. It is useful for\n\ | |
261 avoiding difficulties with singularities and points where there is a\n\ | |
262 discontinuity in the derivative.\n\ | |
3964 | 263 \n\ |
4115 | 264 After a successful computation, the value of @var{istate} will be\n\ |
10840 | 265 greater than zero (consistent with the Fortran version of @sc{dassl}).\n\ |
4115 | 266 \n\ |
267 If the computation is not successful, the value of @var{istate} will be\n\ | |
268 less than zero and @var{msg} will contain additional information.\n\ | |
269 \n\ | |
3964 | 270 You can use the function @code{dassl_options} to set optional\n\ |
271 parameters for @code{dassl}.\n\ | |
5694 | 272 @seealso{daspk, dasrt, lsode}\n\ |
5642 | 273 @end deftypefn") |
2928 | 274 { |
275 octave_value_list retval; | |
276 | |
4140 | 277 warned_fcn_imaginary = false; |
278 warned_jac_imaginary = false; | |
279 | |
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280 unwind_protect frame; |
2928 | 281 |
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282 frame.protect_var (call_depth); |
3243 | 283 call_depth++; |
2928 | 284 |
3243 | 285 if (call_depth > 1) |
3323 | 286 DASSL_ABORT1 ("invalid recursive call"); |
2928 | 287 |
3243 | 288 int nargin = args.length (); |
289 | |
3991 | 290 if (nargin > 3 && nargin < 6 && nargout < 5) |
2928 | 291 { |
5729 | 292 std::string fcn_name, fname, jac_name, jname; |
3991 | 293 dassl_fcn = 0; |
294 dassl_jac = 0; | |
295 | |
296 octave_value f_arg = args(0); | |
297 | |
5729 | 298 if (f_arg.is_cell ()) |
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299 { |
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300 Cell c = f_arg.cell_value (); |
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301 if (c.length () == 1) |
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302 f_arg = c(0); |
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303 else if (c.length () == 2) |
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304 { |
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305 if (c(0).is_function_handle () || c(0).is_inline_function ()) |
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306 dassl_fcn = c(0).function_value (); |
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307 else |
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308 { |
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309 fcn_name = unique_symbol_name ("__dassl_fcn__"); |
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310 fname = "function y = "; |
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311 fname.append (fcn_name); |
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312 fname.append (" (x, xdot, t) y = "); |
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313 dassl_fcn = extract_function |
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314 (c(0), "dassl", fcn_name, fname, "; endfunction"); |
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315 } |
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316 |
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317 if (dassl_fcn) |
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318 { |
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319 if (c(1).is_function_handle () || c(1).is_inline_function ()) |
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320 dassl_jac = c(1).function_value (); |
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321 else |
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322 { |
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323 jac_name = unique_symbol_name ("__dassl_jac__"); |
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324 jname = "function jac = "; |
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325 jname.append (jac_name); |
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326 jname.append (" (x, xdot, t, cj) jac = "); |
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327 dassl_jac = extract_function |
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328 (c(1), "dassl", jac_name, jname, "; endfunction"); |
3991 | 329 |
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330 if (!dassl_jac) |
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331 { |
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332 if (fcn_name.length ()) |
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333 clear_function (fcn_name); |
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334 dassl_fcn = 0; |
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335 } |
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336 } |
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337 } |
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338 } |
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339 else |
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340 DASSL_ABORT1 ("incorrect number of elements in cell array"); |
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341 } |
3243 | 342 |
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343 if (!dassl_fcn && ! f_arg.is_cell ()) |
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344 { |
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345 if (f_arg.is_function_handle () || f_arg.is_inline_function ()) |
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346 dassl_fcn = f_arg.function_value (); |
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347 else |
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348 { |
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349 switch (f_arg.rows ()) |
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350 { |
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351 case 1: |
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352 do |
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353 { |
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354 fcn_name = unique_symbol_name ("__dassl_fcn__"); |
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355 fname = "function y = "; |
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356 fname.append (fcn_name); |
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357 fname.append (" (x, xdot, t) y = "); |
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358 dassl_fcn = extract_function |
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359 (f_arg, "dassl", fcn_name, fname, "; endfunction"); |
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360 } |
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361 while (0); |
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362 break; |
3991 | 363 |
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364 case 2: |
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365 { |
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366 string_vector tmp = f_arg.all_strings (); |
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368 if (! error_state) |
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369 { |
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370 fcn_name = unique_symbol_name ("__dassl_fcn__"); |
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371 fname = "function y = "; |
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372 fname.append (fcn_name); |
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373 fname.append (" (x, xdot, t) y = "); |
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374 dassl_fcn = extract_function |
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375 (tmp(0), "dassl", fcn_name, fname, "; endfunction"); |
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377 if (dassl_fcn) |
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378 { |
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379 jac_name = unique_symbol_name ("__dassl_jac__"); |
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380 jname = "function jac = "; |
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381 jname.append (jac_name); |
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382 jname.append (" (x, xdot, t, cj) jac = "); |
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383 dassl_jac = extract_function |
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384 (tmp(1), "dassl", jac_name, jname, |
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385 "; endfunction"); |
5729 | 386 |
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387 if (!dassl_jac) |
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388 { |
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389 if (fcn_name.length ()) |
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390 clear_function (fcn_name); |
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391 dassl_fcn = 0; |
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392 } |
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393 } |
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394 } |
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395 } |
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396 } |
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397 } |
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398 } |
3991 | 399 |
400 if (error_state || ! dassl_fcn) | |
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401 DASSL_ABORT (); |
3243 | 402 |
3419 | 403 ColumnVector state = ColumnVector (args(1).vector_value ()); |
2928 | 404 |
405 if (error_state) | |
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406 DASSL_ABORT1 ("expecting state vector as second argument"); |
3243 | 407 |
3419 | 408 ColumnVector deriv (args(2).vector_value ()); |
3243 | 409 |
410 if (error_state) | |
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411 DASSL_ABORT1 ("expecting derivative vector as third argument"); |
3243 | 412 |
3419 | 413 ColumnVector out_times (args(3).vector_value ()); |
3243 | 414 |
415 if (error_state) | |
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416 DASSL_ABORT1 ("expecting output time vector as fourth argument"); |
2928 | 417 |
3243 | 418 ColumnVector crit_times; |
419 int crit_times_set = 0; | |
420 if (nargin > 4) | |
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421 { |
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422 crit_times = ColumnVector (args(4).vector_value ()); |
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424 if (error_state) |
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425 DASSL_ABORT1 ("expecting critical time vector as fifth argument"); |
2928 | 426 |
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427 crit_times_set = 1; |
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428 } |
2928 | 429 |
3243 | 430 if (state.capacity () != deriv.capacity ()) |
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431 DASSL_ABORT1 ("x and xdot must have the same size"); |
3243 | 432 |
433 double tzero = out_times (0); | |
2928 | 434 |
3243 | 435 DAEFunc func (dassl_user_function); |
3991 | 436 if (dassl_jac) |
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437 func.set_jacobian_function (dassl_user_jacobian); |
3991 | 438 |
3243 | 439 DASSL dae (state, deriv, tzero, func); |
3991 | 440 |
4122 | 441 dae.set_options (dassl_opts); |
2928 | 442 |
3243 | 443 Matrix output; |
444 Matrix deriv_output; | |
445 | |
446 if (crit_times_set) | |
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447 output = dae.integrate (out_times, deriv_output, crit_times); |
3243 | 448 else |
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449 output = dae.integrate (out_times, deriv_output); |
2928 | 450 |
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451 if (fcn_name.length ()) |
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452 clear_function (fcn_name); |
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453 if (jac_name.length ()) |
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454 clear_function (jac_name); |
5729 | 455 |
3243 | 456 if (! error_state) |
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457 { |
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458 std::string msg = dae.error_message (); |
3997 | 459 |
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460 retval(3) = msg; |
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461 retval(2) = static_cast<double> (dae.integration_state ()); |
3997 | 462 |
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463 if (dae.integration_ok ()) |
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464 { |
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465 retval(1) = deriv_output; |
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466 retval(0) = output; |
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467 } |
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468 else |
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469 { |
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470 retval(1) = Matrix (); |
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471 retval(0) = Matrix (); |
3997 | 472 |
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473 if (nargout < 3) |
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474 error ("dassl: %s", msg.c_str ()); |
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475 } |
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476 } |
2928 | 477 } |
3243 | 478 else |
5823 | 479 print_usage (); |
3243 | 480 |
2928 | 481 return retval; |
482 } | |
483 | |
484 /* | |
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485 ## dassl-1.m |
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486 ## |
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487 ## Test dassl() function |
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488 ## |
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489 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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490 ## Comalco Research and Technology |
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491 ## 20 May 1998 |
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492 ## |
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493 ## Problem |
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494 ## |
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495 ## y1' = -y2, y1(0) = 1 |
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496 ## y2' = y1, y2(0) = 0 |
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497 ## |
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498 ## Solution |
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499 ## |
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500 ## y1(t) = cos(t) |
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501 ## y2(t) = sin(t) |
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502 ## |
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503 %!function res = __f (x, xdot, t) |
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504 %! res = [xdot(1)+x(2); xdot(2)-x(1)]; |
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505 %!endfunction |
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506 |
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507 %!test |
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508 %! |
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509 %! x0 = [1; 0]; |
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510 %! xdot0 = [0; 1]; |
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511 %! t = (0:1:10)'; |
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512 %! |
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513 %! tol = 100 * dassl_options ("relative tolerance"); |
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514 %! |
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515 %! [x, xdot] = dassl ("__f", x0, xdot0, t); |
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516 %! |
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517 %! y = [cos(t), sin(t)]; |
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518 %! |
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519 %! assert (x, y, tol); |
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520 |
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521 ## dassl-2.m |
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522 ## |
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523 ## Test dassl() function |
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524 ## |
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525 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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526 ## Comalco Research and Technology |
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527 ## 20 May 1998 |
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528 ## |
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529 ## Based on SLATEC quick check for DASSL by Linda Petzold |
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530 ## |
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531 ## Problem |
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532 ## |
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533 ## x1' + 10*x1 = 0, x1(0) = 1 |
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534 ## x1 + x2 = 1, x2(0) = 0 |
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535 ## |
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536 ## |
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537 ## Solution |
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538 ## |
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539 ## x1(t) = exp(-10*t) |
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540 ## x2(t) = 1 - x(1) |
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541 ## |
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542 %!function res = __f (x, xdot, t) |
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543 %! res = [xdot(1)+10*x(1); x(1)+x(2)-1]; |
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544 %!endfunction |
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545 |
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546 %!test |
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547 %! |
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548 %! x0 = [1; 0]; |
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549 %! xdot0 = [-10; 10]; |
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550 %! t = (0:0.2:1)'; |
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551 %! |
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552 %! tol = 500 * dassl_options ("relative tolerance"); |
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553 %! |
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554 %! [x, xdot] = dassl ("__f", x0, xdot0, t); |
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555 %! |
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556 %! y = [exp(-10*t), 1-exp(-10*t)]; |
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557 %! |
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558 %! assert (x, y, tol); |
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559 |
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560 %!test |
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561 %! old_tol = dassl_options ("absolute tolerance"); |
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562 %! dassl_options ("absolute tolerance", eps); |
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563 %! assert (dassl_options ("absolute tolerance") == eps); |
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564 %! ## Restore old value of tolerance |
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565 %! dassl_options ("absolute tolerance", old_tol); |
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566 |
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567 %!error dassl_options ("foo", 1, 2) |
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568 */ |