annotate libinterp/corefcn/lsode.cc @ 20940:48b2ad5ee801

maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity. * libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in compilation and includes "ovl.h" instead. Original file renamed to libinterp/octave-value/ovl.h * libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc. * oct-obj.cc (ovl ()): Added new function to return empty octave_value_list. * libinterp/corefcn/module.mk: Remove oct-obj.cc from build system. * libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system. * mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc, error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc, input.h, inv.cc, kron.cc, load-save.cc, lookup.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lsode.cc, lu.cc, luinc.cc, max.cc, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h, oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc, symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h, ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc, ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-double-conv.cc, op-fcdm-fcdm.cc, op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc, pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc, Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
author Rik <rik@octave.org>
date Fri, 18 Dec 2015 16:04:56 -0800
parents 03e4ddd49396
children 77f5591878bf
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rev   line source
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1 /*
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2
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4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1996-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include <string>
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28
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29 #include <iomanip>
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30 #include <iostream>
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31
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32 #include "LSODE.h"
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33 #include "lo-mappers.h"
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34
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35 #include "defun.h"
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36 #include "error.h"
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37 #include "gripes.h"
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38 #include "ovl.h"
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39 #include "ov-fcn.h"
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40 #include "ov-cell.h"
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41 #include "pager.h"
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42 #include "pr-output.h"
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43 #include "unwind-prot.h"
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44 #include "utils.h"
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45 #include "variables.h"
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46
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47 #include "LSODE-opts.cc"
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48
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49 // Global pointer for user defined function required by lsode.
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50 static octave_function *lsode_fcn;
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51
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52 // Global pointer for optional user defined jacobian function used by lsode.
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53 static octave_function *lsode_jac;
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54
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55 // Have we warned about imaginary values returned from user function?
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56 static bool warned_fcn_imaginary = false;
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57 static bool warned_jac_imaginary = false;
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58
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59 // Is this a recursive call?
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60 static int call_depth = 0;
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61
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62 ColumnVector
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63 lsode_user_function (const ColumnVector& x, double t)
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64 {
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65 ColumnVector retval;
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66
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67 octave_value_list args;
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68 args(1) = t;
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69 args(0) = x;
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70
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71 if (lsode_fcn)
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72 {
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73 octave_value_list tmp;
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74
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75 try
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76 {
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77 tmp = lsode_fcn->do_multi_index_op (1, args);
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78 }
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79 catch (octave_execution_exception& e)
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80 {
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81 gripe_user_supplied_eval (e, "lsode");
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82 }
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83
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84 if (tmp.length () > 0 && tmp(0).is_defined ())
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85 {
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86 if (! warned_fcn_imaginary && tmp(0).is_complex_type ())
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87 {
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88 warning ("lsode: ignoring imaginary part returned from user-supplied function");
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89 warned_fcn_imaginary = true;
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90 }
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91
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92 retval = tmp(0).xvector_value ("lsode: expecting user supplied function to return numeric vector");
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93
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94 if (retval.numel () == 0)
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95 gripe_user_supplied_eval ("lsode");
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96 }
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97 else
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98 gripe_user_supplied_eval ("lsode");
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99 }
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100
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101 return retval;
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102 }
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103
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104 Matrix
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105 lsode_user_jacobian (const ColumnVector& x, double t)
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106 {
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107 Matrix retval;
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108
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109 octave_value_list args;
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110 args(1) = t;
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111 args(0) = x;
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112
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113 if (lsode_jac)
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114 {
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115 octave_value_list tmp;
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116
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117 try
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118 {
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119 tmp = lsode_jac->do_multi_index_op (1, args);
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120 }
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121 catch (octave_execution_exception& e)
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122 {
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123 gripe_user_supplied_eval (e, "lsode");
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124 }
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125
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126 if (tmp.length () > 0 && tmp(0).is_defined ())
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127 {
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128 if (! warned_jac_imaginary && tmp(0).is_complex_type ())
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129 {
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130 warning ("lsode: ignoring imaginary part returned from user-supplied jacobian function");
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131 warned_jac_imaginary = true;
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132 }
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133
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134 retval = tmp(0).xmatrix_value ("lsode: expecting user supplied jacobian function to return numeric array");
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135
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136 if (retval.numel () == 0)
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137 gripe_user_supplied_eval ("lsode");
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138 }
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139 else
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140 gripe_user_supplied_eval ("lsode");
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141 }
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142
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143 return retval;
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144 }
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145
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146 DEFUN (lsode, args, nargout,
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147 "-*- texinfo -*-\n\
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148 @deftypefn {} {[@var{x}, @var{istate}, @var{msg}] =} lsode (@var{fcn}, @var{x_0}, @var{t})\n\
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149 @deftypefnx {} {[@var{x}, @var{istate}, @var{msg}] =} lsode (@var{fcn}, @var{x_0}, @var{t}, @var{t_crit})\n\
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150 Ordinary Differential Equation (ODE) solver.\n\
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151 \n\
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152 The set of differential equations to solve is\n\
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153 @tex\n\
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154 $$ {dx \\over dt} = f (x, t) $$\n\
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155 with\n\
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156 $$ x(t_0) = x_0 $$\n\
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157 @end tex\n\
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158 @ifnottex\n\
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159 \n\
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160 @example\n\
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161 @group\n\
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162 dx\n\
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163 -- = f (x, t)\n\
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164 dt\n\
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165 @end group\n\
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166 @end example\n\
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167 \n\
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168 @noindent\n\
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169 with\n\
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170 \n\
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171 @example\n\
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172 x(t_0) = x_0\n\
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173 @end example\n\
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174 \n\
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175 @end ifnottex\n\
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176 The solution is returned in the matrix @var{x}, with each row\n\
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177 corresponding to an element of the vector @var{t}. The first element\n\
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178 of @var{t} should be @math{t_0} and should correspond to the initial\n\
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179 state of the system @var{x_0}, so that the first row of the output\n\
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180 is @var{x_0}.\n\
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181 \n\
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182 The first argument, @var{fcn}, is a string, inline, or function handle\n\
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183 that names the function @math{f} to call to compute the vector of right\n\
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184 hand sides for the set of equations. The function must have the form\n\
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185 \n\
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186 @example\n\
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187 @var{xdot} = f (@var{x}, @var{t})\n\
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188 @end example\n\
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189 \n\
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190 @noindent\n\
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191 in which @var{xdot} and @var{x} are vectors and @var{t} is a scalar.\n\
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192 \n\
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193 If @var{fcn} is a two-element string array or a two-element cell array\n\
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194 of strings, inline functions, or function handles, the first element names\n\
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195 the function @math{f} described above, and the second element names a\n\
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196 function to compute the Jacobian of @math{f}. The Jacobian function\n\
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197 must have the form\n\
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198 \n\
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199 @example\n\
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200 @var{jac} = j (@var{x}, @var{t})\n\
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201 @end example\n\
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202 \n\
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203 @noindent\n\
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204 in which @var{jac} is the matrix of partial derivatives\n\
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205 @tex\n\
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206 $$ J = {\\partial f_i \\over \\partial x_j} = \\left[\\matrix{\n\
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207 {\\partial f_1 \\over \\partial x_1}\n\
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208 & {\\partial f_1 \\over \\partial x_2}\n\
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209 & \\cdots\n\
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210 & {\\partial f_1 \\over \\partial x_N} \\cr\n\
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211 {\\partial f_2 \\over \\partial x_1}\n\
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212 & {\\partial f_2 \\over \\partial x_2}\n\
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213 & \\cdots\n\
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214 & {\\partial f_2 \\over \\partial x_N} \\cr\n\
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215 \\vdots & \\vdots & \\ddots & \\vdots \\cr\n\
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216 {\\partial f_3 \\over \\partial x_1}\n\
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217 & {\\partial f_3 \\over \\partial x_2}\n\
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218 & \\cdots\n\
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219 & {\\partial f_3 \\over \\partial x_N} \\cr}\\right]$$\n\
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220 @end tex\n\
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221 @ifnottex\n\
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222 \n\
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223 @example\n\
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224 @group\n\
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225 | df_1 df_1 df_1 |\n\
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226 | ---- ---- ... ---- |\n\
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227 | dx_1 dx_2 dx_N |\n\
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228 | |\n\
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229 | df_2 df_2 df_2 |\n\
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230 | ---- ---- ... ---- |\n\
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231 df_i | dx_1 dx_2 dx_N |\n\
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232 jac = ---- = | |\n\
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233 dx_j | . . . . |\n\
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234 | . . . . |\n\
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235 | . . . . |\n\
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236 | |\n\
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237 | df_N df_N df_N |\n\
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238 | ---- ---- ... ---- |\n\
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239 | dx_1 dx_2 dx_N |\n\
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240 @end group\n\
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241 @end example\n\
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242 \n\
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243 @end ifnottex\n\
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244 \n\
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245 The second and third arguments specify the initial state of the system,\n\
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246 @math{x_0}, and the initial value of the independent variable @math{t_0}.\n\
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247 \n\
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248 The fourth argument is optional, and may be used to specify a set of\n\
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249 times that the ODE solver should not integrate past. It is useful for\n\
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250 avoiding difficulties with singularities and points where there is a\n\
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251 discontinuity in the derivative.\n\
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252 \n\
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253 After a successful computation, the value of @var{istate} will be 2\n\
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254 (consistent with the Fortran version of @sc{lsode}).\n\
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255 \n\
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256 If the computation is not successful, @var{istate} will be something\n\
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257 other than 2 and @var{msg} will contain additional information.\n\
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parents: 3998
diff changeset
258 \n\
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diff changeset
259 You can use the function @code{lsode_options} to set optional\n\
3030cb6cb559 [project @ 2002-06-28 17:17:55 by jwe]
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diff changeset
260 parameters for @code{lsode}.\n\
5694
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diff changeset
261 @seealso{daspk, dassl, dasrt}\n\
5646
2b20d1707f29 [project @ 2006-03-06 22:38:32 by jwe]
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parents: 5307
diff changeset
262 @end deftypefn")
2928
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263 {
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
264 int nargin = args.length ();
8da80da1ac37 maint: Use ovl() more places in the code.
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parents: 20892
diff changeset
265
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03e4ddd49396 omit unnecessary nargout checks
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parents: 20898
diff changeset
266 if (nargin < 3 || nargin > 4)
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
267 print_usage ();
2928
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268
4140
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diff changeset
269 warned_fcn_imaginary = false;
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diff changeset
270 warned_jac_imaginary = false;
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diff changeset
271
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272 unwind_protect frame;
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273
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diff changeset
274 frame.protect_var (call_depth);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
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parents: 3131
diff changeset
275 call_depth++;
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
276
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
277 if (call_depth > 1)
20709
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diff changeset
278 error ("lsode: invalid recursive call");
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279
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280 std::string fcn_name, fname, jac_name, jname;
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diff changeset
281 lsode_fcn = 0;
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diff changeset
282 lsode_jac = 0;
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diff changeset
283
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diff changeset
284 octave_value f_arg = args(0);
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diff changeset
285
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diff changeset
286 if (f_arg.is_cell ())
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287 {
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288 Cell c = f_arg.cell_value ();
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diff changeset
289 if (c.numel () == 1)
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diff changeset
290 f_arg = c(0);
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diff changeset
291 else if (c.numel () == 2)
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diff changeset
292 {
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diff changeset
293 if (c(0).is_function_handle () || c(0).is_inline_function ())
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294 lsode_fcn = c(0).function_value ();
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295 else
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diff changeset
296 {
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297 fcn_name = unique_symbol_name ("__lsode_fcn__");
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diff changeset
298 fname = "function y = ";
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diff changeset
299 fname.append (fcn_name);
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diff changeset
300 fname.append (" (x, t) y = ");
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diff changeset
301 lsode_fcn = extract_function (c(0), "lsode", fcn_name, fname,
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diff changeset
302 "; endfunction");
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diff changeset
303 }
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304
20801
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diff changeset
305 if (lsode_fcn)
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
306 {
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
307 if (c(1).is_function_handle () || c(1).is_inline_function ())
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
308 lsode_jac = c(1).function_value ();
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
309 else
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diff changeset
310 {
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diff changeset
311 jac_name = unique_symbol_name ("__lsode_jac__");
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diff changeset
312 jname = "function jac = ";
a542a9bf177e eliminate return statements after calls to print_usage
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diff changeset
313 jname.append (jac_name);
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diff changeset
314 jname.append (" (x, t) jac = ");
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parents: 20785
diff changeset
315 lsode_jac = extract_function (c(1), "lsode", jac_name,
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parents: 20785
diff changeset
316 jname, "; endfunction");
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parents: 20785
diff changeset
317
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
318 if (!lsode_jac)
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
319 {
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
320 if (fcn_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
321 clear_function (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
322 lsode_fcn = 0;
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
323 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
324 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
325 }
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
326 }
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
327 else
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
328 error ("lsode: incorrect number of elements in cell array");
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
329 }
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
330
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diff changeset
331 if (!lsode_fcn && ! f_arg.is_cell ())
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parents: 20785
diff changeset
332 {
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
333 if (f_arg.is_function_handle () || f_arg.is_inline_function ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
334 lsode_fcn = f_arg.function_value ();
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
335 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
336 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
337 switch (f_arg.rows ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
339 case 1:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
340 do
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
341 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
342 fcn_name = unique_symbol_name ("__lsode_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
343 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
344 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
345 fname.append (" (x, t) y = ");
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
346 lsode_fcn = extract_function (f_arg, "lsode", fcn_name,
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
347 fname, "; endfunction");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10066
diff changeset
348 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
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diff changeset
349 while (0);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
350 break;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
351
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
352 case 2:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
353 {
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
354 string_vector tmp = f_arg.all_strings ();
2928
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jwe
parents:
diff changeset
355
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
356 fcn_name = unique_symbol_name ("__lsode_fcn__");
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parents: 20785
diff changeset
357 fname = "function y = ";
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
358 fname.append (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
359 fname.append (" (x, t) y = ");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 lsode_fcn = extract_function (tmp(0), "lsode", fcn_name,
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
361 fname, "; endfunction");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
362
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
363 if (lsode_fcn)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
364 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
365 jac_name = unique_symbol_name ("__lsode_jac__");
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
366 jname = "function jac = ";
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
367 jname.append (jac_name);
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parents: 20785
diff changeset
368 jname.append (" (x, t) jac = ");
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
369 lsode_jac = extract_function (tmp(1), "lsode",
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
370 jac_name, jname,
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
371 "; endfunction");
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
372
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
373 if (!lsode_jac)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
374 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
375 if (fcn_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
376 clear_function (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
377 lsode_fcn = 0;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
378 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
379 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
380 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
381 break;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
382
20801
a542a9bf177e eliminate return statements after calls to print_usage
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diff changeset
383 default:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
384 error ("lsode: first arg should be a string or 2-element string array");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
385 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
386 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
387 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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parents:
diff changeset
388
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
389 if (! lsode_fcn)
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
390 error ("lsode: FCN argument is not a valid function name or handle");
20687
5f04bfc7c17a backout changeset 18f38ed43962
John W. Eaton <jwe@octave.org>
parents: 20682
diff changeset
391
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
392 ColumnVector state = args(1).xvector_value ("lsode: initial state X_0 must be a vector");
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
393 ColumnVector out_times = args(2).xvector_value ("lsode: output time variable T must be a vector");
2928
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diff changeset
394
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
395 ColumnVector crit_times;
2928
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diff changeset
396
20801
a542a9bf177e eliminate return statements after calls to print_usage
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diff changeset
397 int crit_times_set = 0;
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
398 if (nargin > 3)
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
399 {
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
400 crit_times = args(3).xvector_value ("lsode: list of critical times T_CRIT must be a vector");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
401
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
402 crit_times_set = 1;
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403 }
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404
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405 double tzero = out_times (0);
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406
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407 ODEFunc func (lsode_user_function);
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408 if (lsode_jac)
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409 func.set_jacobian_function (lsode_user_jacobian);
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410
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411 LSODE ode (state, tzero, func);
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412
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413 ode.set_options (lsode_opts);
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414
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415 Matrix output;
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416 if (crit_times_set)
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417 output = ode.integrate (out_times, crit_times);
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418 else
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419 output = ode.integrate (out_times);
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420
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421 if (fcn_name.length ())
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422 clear_function (fcn_name);
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423 if (jac_name.length ())
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424 clear_function (jac_name);
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425
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426 std::string msg = ode.error_message ();
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427
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428 octave_value_list retval (3);
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429
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430 if (ode.integration_ok ())
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431 retval(0) = output;
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432 else if (nargout < 2)
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433 error ("lsode: %s", msg.c_str ());
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434 else
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435 retval(0) = Matrix ();
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436
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437 retval(1) = static_cast<double> (ode.integration_state ());
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438 retval(2) = msg;
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439
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440 return retval;
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441 }
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442
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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443 /*
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444
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445 ## dassl-1.m
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446 ##
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447 ## Test lsode() function
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448 ##
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449 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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450 ## Comalco Research and Technology
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451 ## 20 May 1998
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452 ##
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453 ## Problem
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454 ##
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455 ## y1' = -y2, y1(0) = 1
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456 ## y2' = y1, y2(0) = 0
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457 ##
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458 ## Solution
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459 ##
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460 ## y1(t) = cos(t)
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461 ## y2(t) = sin(t)
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462 ##
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463 %!function xdot = __f (x, t)
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464 %! xdot = [-x(2); x(1)];
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465 %!endfunction
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466 %!test
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467 %!
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468 %! x0 = [1; 0];
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469 %! xdot0 = [0; 1];
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470 %! t = (0:1:10)';
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471 %!
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472 %! tol = 500 * lsode_options ("relative tolerance");
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473 %!
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474 %! x = lsode ("__f", x0, t);
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475 %!
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476 %! y = [cos(t), sin(t)];
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477 %!
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478 %! assert (x, y, tol);
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479
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480 %!function xdotdot = __f (x, t)
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481 %! xdotdot = [x(2); -x(1)];
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482 %!endfunction
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483 %!test
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484 %!
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485 %! x0 = [1; 0];
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486 %! t = [0; 2*pi];
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487 %! tol = 100 * dassl_options ("relative tolerance");
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488 %!
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489 %! x = lsode ("__f", x0, t);
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490 %!
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491 %! y = [1, 0; 1, 0];
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492 %!
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493 %! assert (x, y, tol);
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494
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495 %!function xdot = __f (x, t)
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496 %! xdot = x;
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497 %!endfunction
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498 %!test
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499 %!
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500 %! x0 = 1;
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501 %! t = [0; 1];
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502 %! tol = 100 * dassl_options ("relative tolerance");
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503 %!
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504 %! x = lsode ("__f", x0, t);
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505 %!
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506 %! y = [1; e];
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507 %!
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508 %! assert (x, y, tol);
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509
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510 %!test
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511 %! lsode_options ("absolute tolerance", eps);
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512 %! assert (lsode_options ("absolute tolerance") == eps);
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513
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514 %!error lsode_options ("foo", 1, 2)
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515 */