annotate src/DLD-FUNCTIONS/lsode.cc @ 10840:89f4d7e294cc

Grammarcheck .cc files
author Rik <octave@nomad.inbox5.com>
date Sat, 31 Jul 2010 11:18:11 -0700
parents d0ce5e973937
children a4f482e66b65
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1 /*
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2
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3 Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2005,
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eb63fbe60fab update copyright notices
John W. Eaton <jwe@octave.org>
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4 2006, 2007, 2008, 2009 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include <string>
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29
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30 #include <iomanip>
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31 #include <iostream>
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32
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33 #include "LSODE.h"
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34 #include "lo-mappers.h"
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35
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36 #include "defun-dld.h"
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37 #include "error.h"
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38 #include "gripes.h"
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39 #include "oct-obj.h"
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40 #include "ov-fcn.h"
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41 #include "ov-cell.h"
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42 #include "pager.h"
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43 #include "pr-output.h"
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44 #include "unwind-prot.h"
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45 #include "utils.h"
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46 #include "variables.h"
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47
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48 #include "LSODE-opts.cc"
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49
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50 // Global pointer for user defined function required by lsode.
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51 static octave_function *lsode_fcn;
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52
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53 // Global pointer for optional user defined jacobian function used by lsode.
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54 static octave_function *lsode_jac;
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55
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56 // Have we warned about imaginary values returned from user function?
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57 static bool warned_fcn_imaginary = false;
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58 static bool warned_jac_imaginary = false;
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59
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60 // Is this a recursive call?
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61 static int call_depth = 0;
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62
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63 ColumnVector
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64 lsode_user_function (const ColumnVector& x, double t)
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65 {
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66 ColumnVector retval;
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67
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68 octave_value_list args;
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69 args(1) = t;
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70 args(0) = x;
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71
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72 if (lsode_fcn)
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73 {
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74 octave_value_list tmp = lsode_fcn->do_multi_index_op (1, args);
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75
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76 if (error_state)
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77 {
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78 gripe_user_supplied_eval ("lsode");
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79 return retval;
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80 }
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81
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82 if (tmp.length () > 0 && tmp(0).is_defined ())
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83 {
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84 if (! warned_fcn_imaginary && tmp(0).is_complex_type ())
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85 {
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86 warning ("lsode: ignoring imaginary part returned from user-supplied function");
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87 warned_fcn_imaginary = true;
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88 }
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89
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90 retval = ColumnVector (tmp(0).vector_value ());
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91
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92 if (error_state || retval.length () == 0)
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93 gripe_user_supplied_eval ("lsode");
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94 }
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95 else
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96 gripe_user_supplied_eval ("lsode");
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97 }
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98
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99 return retval;
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100 }
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101
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102 Matrix
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103 lsode_user_jacobian (const ColumnVector& x, double t)
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104 {
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105 Matrix retval;
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106
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107 octave_value_list args;
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108 args(1) = t;
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109 args(0) = x;
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110
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111 if (lsode_jac)
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112 {
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113 octave_value_list tmp = lsode_jac->do_multi_index_op (1, args);
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114
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115 if (error_state)
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116 {
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117 gripe_user_supplied_eval ("lsode");
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118 return retval;
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119 }
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120
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121 if (tmp.length () > 0 && tmp(0).is_defined ())
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122 {
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123 if (! warned_jac_imaginary && tmp(0).is_complex_type ())
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124 {
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125 warning ("lsode: ignoring imaginary part returned from user-supplied jacobian function");
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126 warned_jac_imaginary = true;
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127 }
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128
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129 retval = tmp(0).matrix_value ();
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130
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131 if (error_state || retval.length () == 0)
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132 gripe_user_supplied_eval ("lsode");
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133 }
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134 else
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135 gripe_user_supplied_eval ("lsode");
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136 }
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137
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138 return retval;
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139 }
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140
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141 #define LSODE_ABORT() \
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142 return retval
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143
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144 #define LSODE_ABORT1(msg) \
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145 do \
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146 { \
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147 ::error ("lsode: " msg); \
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148 LSODE_ABORT (); \
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149 } \
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150 while (0)
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151
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152 #define LSODE_ABORT2(fmt, arg) \
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153 do \
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154 { \
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155 ::error ("lsode: " fmt, arg); \
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156 LSODE_ABORT (); \
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157 } \
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158 while (0)
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159
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160 DEFUN_DLD (lsode, args, nargout,
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161 "-*- texinfo -*-\n\
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162 @deftypefn {Loadable Function} {[@var{x}, @var{istate}, @var{msg}] =} lsode (@var{fcn}, @var{x_0}, @var{t}, @var{t_crit})\n\
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163 Solve the set of differential equations\n\
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164 @tex\n\
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165 $$ {dx \\over dt} = f (x, t) $$\n\
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166 with\n\
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167 $$ x(t_0) = x_0 $$\n\
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168 @end tex\n\
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169 @ifnottex\n\
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170 \n\
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171 @example\n\
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172 @group\n\
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173 dx\n\
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174 -- = f(x, t)\n\
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175 dt\n\
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176 @end group\n\
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177 @end example\n\
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178 \n\
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179 with\n\
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180 \n\
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181 @example\n\
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182 x(t_0) = x_0\n\
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183 @end example\n\
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184 \n\
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185 @end ifnottex\n\
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186 The solution is returned in the matrix @var{x}, with each row\n\
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187 corresponding to an element of the vector @var{t}. The first element\n\
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188 of @var{t} should be @math{t_0} and should correspond to the initial\n\
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189 state of the system @var{x_0}, so that the first row of the output\n\
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190 is @var{x_0}.\n\
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191 \n\
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192 The first argument, @var{fcn}, is a string, inline, or function handle\n\
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193 that names the function @math{f} to call to compute the vector of right\n\
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194 hand sides for the set of equations. The function must have the form\n\
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195 \n\
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196 @example\n\
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197 @var{xdot} = f (@var{x}, @var{t})\n\
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198 @end example\n\
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199 \n\
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200 @noindent\n\
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201 in which @var{xdot} and @var{x} are vectors and @var{t} is a scalar.\n\
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202 \n\
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203 If @var{fcn} is a two-element string array or a two-element cell array\n\
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204 of strings, inline functions, or function handles, the first element names\n\
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205 the function @math{f} described above, and the second element names a\n\
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206 function to compute the Jacobian of @math{f}. The Jacobian function\n\
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207 must have the form\n\
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208 \n\
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209 @example\n\
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210 @var{jac} = j (@var{x}, @var{t})\n\
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211 @end example\n\
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212 \n\
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213 in which @var{jac} is the matrix of partial derivatives\n\
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214 @tex\n\
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215 $$ J = {\\partial f_i \\over \\partial x_j} = \\left[\\matrix{\n\
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216 {\\partial f_1 \\over \\partial x_1}\n\
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217 & {\\partial f_1 \\over \\partial x_2}\n\
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218 & \\cdots\n\
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219 & {\\partial f_1 \\over \\partial x_N} \\cr\n\
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220 {\\partial f_2 \\over \\partial x_1}\n\
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221 & {\\partial f_2 \\over \\partial x_2}\n\
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222 & \\cdots\n\
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223 & {\\partial f_2 \\over \\partial x_N} \\cr\n\
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224 \\vdots & \\vdots & \\ddots & \\vdots \\cr\n\
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225 {\\partial f_3 \\over \\partial x_1}\n\
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226 & {\\partial f_3 \\over \\partial x_2}\n\
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227 & \\cdots\n\
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228 & {\\partial f_3 \\over \\partial x_N} \\cr}\\right]$$\n\
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229 @end tex\n\
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230 @ifnottex\n\
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231 \n\
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232 @example\n\
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233 @group\n\
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234 | df_1 df_1 df_1 |\n\
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235 | ---- ---- ... ---- |\n\
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236 | dx_1 dx_2 dx_N |\n\
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237 | |\n\
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238 | df_2 df_2 df_2 |\n\
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239 | ---- ---- ... ---- |\n\
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240 df_i | dx_1 dx_2 dx_N |\n\
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241 jac = ---- = | |\n\
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242 dx_j | . . . . |\n\
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243 | . . . . |\n\
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244 | . . . . |\n\
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245 | |\n\
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246 | df_N df_N df_N |\n\
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247 | ---- ---- ... ---- |\n\
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248 | dx_1 dx_2 dx_N |\n\
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249 @end group\n\
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250 @end example\n\
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251 \n\
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252 @end ifnottex\n\
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253 \n\
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254 The second and third arguments specify the initial state of the system,\n\
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255 @math{x_0}, and the initial value of the independent variable @math{t_0}.\n\
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256 \n\
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257 The fourth argument is optional, and may be used to specify a set of\n\
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258 times that the ODE solver should not integrate past. It is useful for\n\
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259 avoiding difficulties with singularities and points where there is a\n\
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260 discontinuity in the derivative.\n\
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261 \n\
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262 After a successful computation, the value of @var{istate} will be 2\n\
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263 (consistent with the Fortran version of @sc{lsode}).\n\
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264 \n\
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265 If the computation is not successful, @var{istate} will be something\n\
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266 other than 2 and @var{msg} will contain additional information.\n\
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267 \n\
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268 You can use the function @code{lsode_options} to set optional\n\
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269 parameters for @code{lsode}.\n\
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270 @seealso{daspk, dassl, dasrt}\n\
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271 @end deftypefn")
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272 {
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273 octave_value_list retval;
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274
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275 warned_fcn_imaginary = false;
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276 warned_jac_imaginary = false;
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277
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278 unwind_protect frame;
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279
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280 frame.protect_var (call_depth);
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281 call_depth++;
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282
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283 if (call_depth > 1)
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284 LSODE_ABORT1 ("invalid recursive call");
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285
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286 int nargin = args.length ();
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287
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288 if (nargin > 2 && nargin < 5 && nargout < 4)
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289 {
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290 std::string fcn_name, fname, jac_name, jname;
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291 lsode_fcn = 0;
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292 lsode_jac = 0;
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293
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294 octave_value f_arg = args(0);
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295
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296 if (f_arg.is_cell ())
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297 {
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diff changeset
298 Cell c = f_arg.cell_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
299 if (c.length() == 1)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
300 f_arg = c(0);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
301 else if (c.length() == 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
302 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
303 if (c(0).is_function_handle () || c(0).is_inline_function ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
304 lsode_fcn = c(0).function_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
305 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
306 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
307 fcn_name = unique_symbol_name ("__lsode_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
308 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
309 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
310 fname.append (" (x, t) y = ");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
311 lsode_fcn = extract_function
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
312 (c(0), "lsode", fcn_name, fname, "; endfunction");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
313 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
314
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
315 if (lsode_fcn)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
316 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
317 if (c(1).is_function_handle () || c(1).is_inline_function ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
318 lsode_jac = c(1).function_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
319 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
320 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
321 jac_name = unique_symbol_name ("__lsode_jac__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
322 jname = "function jac = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
323 jname.append(jac_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
324 jname.append (" (x, t) jac = ");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
325 lsode_jac = extract_function
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
326 (c(1), "lsode", jac_name, jname, "; endfunction");
2928
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jwe
parents:
diff changeset
327
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
328 if (!lsode_jac)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
329 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
330 if (fcn_name.length())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
331 clear_function (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
332 lsode_fcn = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
333 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
334 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
335 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
336 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
337 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 LSODE_ABORT1 ("incorrect number of elements in cell array");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
339 }
2928
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jwe
parents:
diff changeset
340
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
341 if (!lsode_fcn && ! f_arg.is_cell())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
342 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
343 if (f_arg.is_function_handle () || f_arg.is_inline_function ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
344 lsode_fcn = f_arg.function_value ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
345 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
346 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
347 switch (f_arg.rows ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
348 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
349 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
350 do
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
351 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
352 fcn_name = unique_symbol_name ("__lsode_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
353 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
354 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
355 fname.append (" (x, t) y = ");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
356 lsode_fcn = extract_function
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
357 (f_arg, "lsode", fcn_name, fname, "; endfunction");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
358 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
359 while (0);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
360 break;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
361
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
362 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
363 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
364 string_vector tmp = f_arg.all_strings ();
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
365
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
366 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
367 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
368 fcn_name = unique_symbol_name ("__lsode_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
369 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
370 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
371 fname.append (" (x, t) y = ");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
372 lsode_fcn = extract_function
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
373 (tmp(0), "lsode", fcn_name, fname, "; endfunction");
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
374
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
375 if (lsode_fcn)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
376 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
377 jac_name = unique_symbol_name ("__lsode_jac__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
378 jname = "function jac = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
379 jname.append(jac_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
380 jname.append (" (x, t) jac = ");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
381 lsode_jac = extract_function
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
382 (tmp(1), "lsode", jac_name, jname,
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
383 "; endfunction");
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
384
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
385 if (!lsode_jac)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
386 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
387 if (fcn_name.length())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
388 clear_function (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
389 lsode_fcn = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
390 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
391 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
392 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
393 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
394 break;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
395
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
396 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
397 LSODE_ABORT1
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
398 ("first arg should be a string or 2-element string array");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
399 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
400 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
401 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
402
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
403 if (error_state || ! lsode_fcn)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
404 LSODE_ABORT ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
405
3419
e71b3d1dd327 [project @ 2000-01-12 05:23:34 by jwe]
jwe
parents: 3373
diff changeset
406 ColumnVector state (args(1).vector_value ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
407
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
408 if (error_state)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
409 LSODE_ABORT1 ("expecting state vector as second argument");
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
410
3419
e71b3d1dd327 [project @ 2000-01-12 05:23:34 by jwe]
jwe
parents: 3373
diff changeset
411 ColumnVector out_times (args(2).vector_value ());
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
412
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
413 if (error_state)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
414 LSODE_ABORT1 ("expecting output time vector as third argument");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
415
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
416 ColumnVector crit_times;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
417
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
418 int crit_times_set = 0;
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
419 if (nargin > 3)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
420 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
421 crit_times = ColumnVector (args(3).vector_value ());
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
422
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
423 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
424 LSODE_ABORT1 ("expecting critical time vector as fourth argument");
2928
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jwe
parents:
diff changeset
425
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
426 crit_times_set = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
427 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
428
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
429 double tzero = out_times (0);
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
430
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
431 ODEFunc func (lsode_user_function);
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
432 if (lsode_jac)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
433 func.set_jacobian_function (lsode_user_jacobian);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
434
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
435 LSODE ode (state, tzero, func);
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
436
4122
19a1626b8d57 [project @ 2002-10-23 22:10:53 by jwe]
jwe
parents: 4117
diff changeset
437 ode.set_options (lsode_opts);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
438
3859
890a7e4c1362 [project @ 2001-11-09 17:05:08 by jwe]
jwe
parents: 3747
diff changeset
439 Matrix output;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
440 if (crit_times_set)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
441 output = ode.integrate (out_times, crit_times);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
442 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
443 output = ode.integrate (out_times);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
444
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
445 if (fcn_name.length())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
446 clear_function (fcn_name);
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
447 if (jac_name.length())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
448 clear_function (jac_name);
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
449
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
450 if (! error_state)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
451 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
452 std::string msg = ode.error_message ();
3997
d4091aff6468 [project @ 2002-07-17 18:00:06 by jwe]
jwe
parents: 3991
diff changeset
453
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
454 retval(2) = msg;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
455 retval(1) = static_cast<double> (ode.integration_state ());
3959
5a848097fe4a [project @ 2002-05-24 17:58:16 by jwe]
jwe
parents: 3957
diff changeset
456
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
457 if (ode.integration_ok ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
458 retval(0) = output;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
459 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
460 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
461 retval(0) = Matrix ();
3959
5a848097fe4a [project @ 2002-05-24 17:58:16 by jwe]
jwe
parents: 3957
diff changeset
462
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
463 if (nargout < 2)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
464 error ("lsode: %s", msg.c_str ());
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
465 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
466 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
467 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
468 else
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5729
diff changeset
469 print_usage ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
470
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
471 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
472 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
473
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
474 /*
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
475
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
476 %% dassl-1.m
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
477 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
478 %% Test lsode() function
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
479 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
480 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
481 %% Comalco Research and Technology
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
482 %% 20 May 1998
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
483 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
484 %% Problem
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
485 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
486 %% y1' = -y2, y1(0) = 1
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
487 %% y2' = y1, y2(0) = 0
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
488 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
489 %% Solution
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
490 %%
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
491 %% y1(t) = cos(t)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
492 %% y2(t) = sin(t)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
493 %!function xdot = f (x, t)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
494 %! xdot = [-x(2); x(1)];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
495 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
496 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
497 %! x0 = [1; 0];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
498 %! xdot0 = [0; 1];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
499 %! t = (0:1:10)';
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
500 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
501 %! tol = 500 * lsode_options ("relative tolerance");
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
502 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
503 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
504 %! x = lsode ("f", x0, t);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
505 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
506 %! y = [cos(t), sin(t)];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
507 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
508 %! assert(all (all (abs (x - y) < tol)));
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
509
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
510 %!function xdotdot = f (x, t)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
511 %! xdotdot = [x(2); -x(1)];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
512 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
513 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
514 %! x0 = [1; 0];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
515 %! t = [0; 2*pi];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
516 %! tol = 100 * dassl_options ("relative tolerance");
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
517 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
518 %! x = lsode ("f", x0, t);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
519 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
520 %! y = [1, 0; 1, 0];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
521 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
522 %! assert(all (all (abs (x - y) < tol)));
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
523
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
524 %!function xdot = f (x, t)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
525 %! xdot = x;
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
526 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
527 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
528 %! x0 = 1;
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
529 %! t = [0; 1];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
530 %! tol = 100 * dassl_options ("relative tolerance");
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
531 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
532 %! x = lsode ("f", x0, t);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
533 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
534 %! y = [1; e];
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
535 %!
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
536 %! assert(all (all (abs (x - y) < tol)));
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
537
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
538 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
539 %! lsode_options ("absolute tolerance", eps);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
540 %! assert(lsode_options ("absolute tolerance") == eps);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
541
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
542 %!error <Invalid call to lsode_options.*> lsode_options ("foo", 1, 2);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
543
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
544 */