annotate libinterp/corefcn/lsode.cc @ 24412:6e1d3ad32ed1 stable

doc: Fix documentation of third input to lsode() (bug #52664). * lsode.cc (Flsode): Rewrite documentation for third input t.
author Rik <rik@octave.org>
date Thu, 14 Dec 2017 14:38:33 -0800
parents 3ac9f9ecfae5
children 2adff1743db7
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1 /*
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2
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3 Copyright (C) 1996-2017 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
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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 #if defined (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 "errwarn.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 err_user_supplied_eval (e, "lsode");
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82 }
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83
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84 if (tmp.empty () || ! tmp(0).is_defined ())
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85 err_user_supplied_eval ("lsode");
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86
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87 if (! warned_fcn_imaginary && tmp(0).is_complex_type ())
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88 {
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89 warning ("lsode: ignoring imaginary part returned from user-supplied function");
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90 warned_fcn_imaginary = true;
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91 }
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92
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93 retval = tmp(0).xvector_value ("lsode: expecting user supplied function to return numeric vector");
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94
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95 if (retval.is_empty ())
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96 err_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;
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114
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115 try
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116 {
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117 tmp = lsode_jac->do_multi_index_op (1, args);
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118 }
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119 catch (octave::execution_exception& e)
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120 {
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121 err_user_supplied_eval (e, "lsode");
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122 }
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123
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124 if (tmp.empty () || ! tmp(0).is_defined ())
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125 err_user_supplied_eval ("lsode");
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126
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127 if (! warned_jac_imaginary && tmp(0).is_complex_type ())
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128 {
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129 warning ("lsode: ignoring imaginary part returned from user-supplied jacobian function");
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130 warned_jac_imaginary = true;
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131 }
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132
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133 retval = tmp(0).xmatrix_value ("lsode: expecting user supplied jacobian function to return numeric array");
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134
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135 if (retval.is_empty ())
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136 err_user_supplied_eval ("lsode");
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137 }
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138
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139 return retval;
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140 }
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141
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142 DEFUN (lsode, args, nargout,
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143 doc: /* -*- texinfo -*-
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144 @deftypefn {} {[@var{x}, @var{istate}, @var{msg}] =} lsode (@var{fcn}, @var{x_0}, @var{t})
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145 @deftypefnx {} {[@var{x}, @var{istate}, @var{msg}] =} lsode (@var{fcn}, @var{x_0}, @var{t}, @var{t_crit})
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146 Ordinary Differential Equation (ODE) solver.
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147
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148 The set of differential equations to solve is
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149 @tex
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150 $$ {dx \over dt} = f (x, t) $$
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151 with
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152 $$ x(t_0) = x_0 $$
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153 @end tex
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154 @ifnottex
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155
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156 @example
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157 @group
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158 dx
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159 -- = f (x, t)
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160 dt
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161 @end group
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162 @end example
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163
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164 @noindent
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165 with
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166
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167 @example
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168 x(t_0) = x_0
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169 @end example
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170
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171 @end ifnottex
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172 The solution is returned in the matrix @var{x}, with each row
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173 corresponding to an element of the vector @var{t}. The first element
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174 of @var{t} should be @math{t_0} and should correspond to the initial
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175 state of the system @var{x_0}, so that the first row of the output
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176 is @var{x_0}.
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177
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178 The first argument, @var{fcn}, is a string, inline, or function handle
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179 that names the function @math{f} to call to compute the vector of right
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180 hand sides for the set of equations. The function must have the form
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181
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182 @example
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183 @var{xdot} = f (@var{x}, @var{t})
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184 @end example
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185
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186 @noindent
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187 in which @var{xdot} and @var{x} are vectors and @var{t} is a scalar.
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188
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189 If @var{fcn} is a two-element string array or a two-element cell array
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190 of strings, inline functions, or function handles, the first element names
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191 the function @math{f} described above, and the second element names a
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192 function to compute the Jacobian of @math{f}. The Jacobian function
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193 must have the form
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194
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195 @example
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196 @var{jac} = j (@var{x}, @var{t})
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197 @end example
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198
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199 @noindent
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200 in which @var{jac} is the matrix of partial derivatives
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201 @tex
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202 $$ J = {\partial f_i \over \partial x_j} = \left[\matrix{
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203 {\partial f_1 \over \partial x_1}
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204 & {\partial f_1 \over \partial x_2}
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205 & \cdots
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206 & {\partial f_1 \over \partial x_N} \cr
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207 {\partial f_2 \over \partial x_1}
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208 & {\partial f_2 \over \partial x_2}
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209 & \cdots
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210 & {\partial f_2 \over \partial x_N} \cr
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211 \vdots & \vdots & \ddots & \vdots \cr
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212 {\partial f_3 \over \partial x_1}
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213 & {\partial f_3 \over \partial x_2}
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214 & \cdots
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215 & {\partial f_3 \over \partial x_N} \cr}\right]$$
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216 @end tex
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217 @ifnottex
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218
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219 @example
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220 @group
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221 | df_1 df_1 df_1 |
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222 | ---- ---- ... ---- |
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223 | dx_1 dx_2 dx_N |
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224 | |
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225 | df_2 df_2 df_2 |
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226 | ---- ---- ... ---- |
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227 df_i | dx_1 dx_2 dx_N |
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228 jac = ---- = | |
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229 dx_j | . . . . |
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230 | . . . . |
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231 | . . . . |
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232 | |
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233 | df_N df_N df_N |
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234 | ---- ---- ... ---- |
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235 | dx_1 dx_2 dx_N |
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236 @end group
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237 @end example
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238
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239 @end ifnottex
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240
24412
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241 The second argument specifies the initial state of the system @math{x_0}. The
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242 third argument is a vector, @var{t}, specifying the time values for which a
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243 solution is sought.
21966
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244
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245 The fourth argument is optional, and may be used to specify a set of
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246 times that the ODE solver should not integrate past. It is useful for
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247 avoiding difficulties with singularities and points where there is a
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248 discontinuity in the derivative.
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249
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250 After a successful computation, the value of @var{istate} will be 2
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251 (consistent with the Fortran version of @sc{lsode}).
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252
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253 If the computation is not successful, @var{istate} will be something
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254 other than 2 and @var{msg} will contain additional information.
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255
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256 You can use the function @code{lsode_options} to set optional
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257 parameters for @code{lsode}.
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258 @seealso{daspk, dassl, dasrt}
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259 @end deftypefn */)
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260 {
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261 int nargin = args.length ();
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262
20909
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263 if (nargin < 3 || nargin > 4)
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264 print_usage ();
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265
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266 warned_fcn_imaginary = false;
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267 warned_jac_imaginary = false;
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268
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269 octave::unwind_protect frame;
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270
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271 frame.protect_var (call_depth);
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272 call_depth++;
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273
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
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274 if (call_depth > 1)
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275 error ("lsode: invalid recursive call");
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276
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277 std::string fcn_name, fname, jac_name, jname;
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278 lsode_fcn = 0;
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279 lsode_jac = 0;
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280
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281 octave_value f_arg = args(0);
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282
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283 if (f_arg.is_cell ())
2928
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diff changeset
284 {
20801
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parents: 20785
diff changeset
285 Cell c = f_arg.cell_value ();
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parents: 20785
diff changeset
286 if (c.numel () == 1)
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parents: 20785
diff changeset
287 f_arg = c(0);
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
288 else if (c.numel () == 2)
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
289 {
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parents: 20785
diff changeset
290 if (c(0).is_function_handle () || c(0).is_inline_function ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
291 lsode_fcn = c(0).function_value ();
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parents: 20785
diff changeset
292 else
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
293 {
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
294 fcn_name = unique_symbol_name ("__lsode_fcn__");
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parents: 20785
diff changeset
295 fname = "function y = ";
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parents: 20785
diff changeset
296 fname.append (fcn_name);
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parents: 20785
diff changeset
297 fname.append (" (x, t) y = ");
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parents: 20785
diff changeset
298 lsode_fcn = extract_function (c(0), "lsode", fcn_name, fname,
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parents: 20785
diff changeset
299 "; endfunction");
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
300 }
2928
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jwe
parents:
diff changeset
301
20801
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parents: 20785
diff changeset
302 if (lsode_fcn)
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
303 {
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
304 if (c(1).is_function_handle () || c(1).is_inline_function ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
305 lsode_jac = c(1).function_value ();
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
306 else
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
307 {
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parents: 20785
diff changeset
308 jac_name = unique_symbol_name ("__lsode_jac__");
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
309 jname = "function jac = ";
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
310 jname.append (jac_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
311 jname.append (" (x, t) jac = ");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
312 lsode_jac = extract_function (c(1), "lsode", jac_name,
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
313 jname, "; endfunction");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
314
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20940
diff changeset
315 if (! lsode_jac)
20801
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
316 {
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
317 if (fcn_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
318 clear_function (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
319 lsode_fcn = 0;
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
320 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
321 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
322 }
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 else
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
325 error ("lsode: incorrect number of elements in cell array");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
326 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
327
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20940
diff changeset
328 if (! lsode_fcn && ! f_arg.is_cell ())
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
329 {
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
330 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
331 lsode_fcn = f_arg.function_value ();
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
332 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
333 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
334 switch (f_arg.rows ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
335 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
336 case 1:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
337 do
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
339 fcn_name = unique_symbol_name ("__lsode_fcn__");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
340 fname = "function y = ";
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
341 fname.append (fcn_name);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
342 fname.append (" (x, t) y = ");
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
343 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
344 fname, "; endfunction");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
345 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
346 while (0);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
347 break;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11553
diff changeset
348
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
349 case 2:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
350 {
20990
fc9cca99b2de Deprecate all_strings, replace with string_vector_value.
Rik <rik@octave.org>
parents: 20974
diff changeset
351 string_vector tmp = f_arg.string_vector_value ();
2928
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jwe
parents:
diff changeset
352
20801
a542a9bf177e eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
353 fcn_name = unique_symbol_name ("__lsode_fcn__");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
354 fname = "function y = ";
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
355 fname.append (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
356 fname.append (" (x, t) y = ");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
357 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
358 fname, "; endfunction");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
359
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 if (lsode_fcn)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
361 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
362 jac_name = unique_symbol_name ("__lsode_jac__");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
363 jname = "function jac = ";
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
364 jname.append (jac_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
365 jname.append (" (x, t) jac = ");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
366 lsode_jac = extract_function (tmp(1), "lsode",
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
367 jac_name, jname,
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
368 "; endfunction");
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
369
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20940
diff changeset
370 if (! lsode_jac)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
371 {
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
372 if (fcn_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
373 clear_function (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
374 lsode_fcn = 0;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
375 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
376 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
377 }
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
378 break;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
379
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
380 default:
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
381 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
382 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
383 }
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
384 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
385
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
386 if (! lsode_fcn)
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
387 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
388
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
389 ColumnVector state = args(1).xvector_value ("lsode: initial state X_0 must be a vector");
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
390 ColumnVector out_times = args(2).xvector_value ("lsode: output time variable T must be a vector");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
391
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
392 ColumnVector crit_times;
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
393
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
394 int crit_times_set = 0;
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
395 if (nargin > 3)
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
396 {
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
397 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
398
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
399 crit_times_set = 1;
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
400 }
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
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
402 double tzero = out_times (0);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
403
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
404 ODEFunc func (lsode_user_function);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
405 if (lsode_jac)
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
406 func.set_jacobian_function (lsode_user_jacobian);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
407
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
408 LSODE ode (state, tzero, func);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
409
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
410 ode.set_options (lsode_opts);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
411
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
412 Matrix output;
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
413 if (crit_times_set)
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
414 output = ode.integrate (out_times, crit_times);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
415 else
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
416 output = ode.integrate (out_times);
5729
e065f7c18bdc [project @ 2006-04-03 19:03:30 by jwe]
jwe
parents: 5694
diff changeset
417
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
418 if (fcn_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
419 clear_function (fcn_name);
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
420 if (jac_name.length ())
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
421 clear_function (jac_name);
3997
d4091aff6468 [project @ 2002-07-17 18:00:06 by jwe]
jwe
parents: 3991
diff changeset
422
20801
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
423 std::string msg = ode.error_message ();
a542a9bf177e eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
424
20898
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
425 octave_value_list retval (3);
8da80da1ac37 maint: Use ovl() more places in the code.
Rik <rik@octave.org>
parents: 20892
diff changeset
426
20801
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427 if (ode.integration_ok ())
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428 retval(0) = output;
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429 else if (nargout < 2)
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430 error ("lsode: %s", msg.c_str ());
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431 else
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432 retval(0) = Matrix ();
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5a848097fe4a [project @ 2002-05-24 17:58:16 by jwe]
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433
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434 retval(1) = static_cast<double> (ode.integration_state ());
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435 retval(2) = msg;
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295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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436
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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437 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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438 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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439
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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440 /*
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441
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442 ## dassl-1.m
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443 ##
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444 ## Test lsode() function
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445 ##
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446 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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447 ## Comalco Research and Technology
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448 ## 20 May 1998
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449 ##
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450 ## Problem
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451 ##
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452 ## y1' = -y2, y1(0) = 1
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453 ## y2' = y1, y2(0) = 0
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454 ##
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455 ## Solution
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456 ##
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457 ## y1(t) = cos(t)
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458 ## y2(t) = sin(t)
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459 ##
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460 %!function xdot = __f (x, t)
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461 %! xdot = [-x(2); x(1)];
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462 %!endfunction
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463 %!test
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464 %!
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465 %! x0 = [1; 0];
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466 %! xdot0 = [0; 1];
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467 %! t = (0:1:10)';
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468 %!
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469 %! tol = 500 * lsode_options ("relative tolerance");
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470 %!
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471 %! x = lsode ("__f", x0, t);
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472 %!
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473 %! y = [cos(t), sin(t)];
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474 %!
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475 %! assert (x, y, tol);
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476
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477 %!function xdotdot = __f (x, t)
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478 %! xdotdot = [x(2); -x(1)];
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479 %!endfunction
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480 %!test
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481 %!
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482 %! x0 = [1; 0];
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483 %! t = [0; 2*pi];
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484 %! tol = 100 * dassl_options ("relative tolerance");
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485 %!
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486 %! x = lsode ("__f", x0, t);
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487 %!
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488 %! y = [1, 0; 1, 0];
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489 %!
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490 %! assert (x, y, tol);
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491
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492 %!function xdot = __f (x, t)
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493 %! xdot = x;
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494 %!endfunction
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495 %!test
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496 %!
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497 %! x0 = 1;
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498 %! t = [0; 1];
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499 %! tol = 100 * dassl_options ("relative tolerance");
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500 %!
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501 %! x = lsode ("__f", x0, t);
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502 %!
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503 %! y = [1; e];
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504 %!
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505 %! assert (x, y, tol);
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506
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507 %!test
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508 %! lsode_options ("absolute tolerance", eps);
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509 %! assert (lsode_options ("absolute tolerance") == eps);
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510
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511 %!error lsode_options ("foo", 1, 2)
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512 */