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annotate libinterp/corefcn/dassl.cc @ 30896:c9788d7f6e65

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maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. * __eigs__.cc, bsxfun.cc, cellfun.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, error.cc, graphics.cc, graphics.in.h, gzfstream.h, ls-hdf5.cc, lsode.cc, max.cc, oct-opengl.h, quad.cc, strfns.cc, utils.cc, utils.h, variables.cc, __ode15__.cc, gzip.cc, cdef-manager.cc, ov-fcn-handle.cc, ov-java.cc, ov-usr-fcn.cc, bp-table.cc, bp-table.h, lex.h, lex.ll, oct-parse.yy, pt-eval.cc: Replace "func", "fun", "fn" in documentation and variable names with "fcn".
author Rik <rik@octave.org>
date Tue, 05 Apr 2022 08:33:58 -0700
parents 08b08b7f05b2
children e88a07dec498
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rev   line source
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include <string>
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31
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32 #include "DASSL.h"
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33
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34 #include "defun.h"
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35 #include "error.h"
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36 #include "errwarn.h"
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37 #include "interpreter-private.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 "parse.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 "DASSL-opts.cc"
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48
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49 OCTAVE_NAMESPACE_BEGIN
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50
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51 // Global pointer for user defined function required by dassl.
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52 static octave_value dassl_fcn;
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53
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54 // Global pointer for optional user defined jacobian function.
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55 static octave_value dassl_jac;
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56
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57 // Have we warned about imaginary values returned from user function?
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58 static bool warned_fcn_imaginary = false;
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59 static bool warned_jac_imaginary = false;
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60
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61 // Is this a recursive call?
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62 static int call_depth = 0;
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63
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64 static ColumnVector
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65 dassl_user_function (const ColumnVector& x, const ColumnVector& xdot,
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66 double t, octave_idx_type& ires)
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67 {
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68 ColumnVector retval;
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69
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70 error_unless (x.numel () == xdot.numel ());
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71
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72 octave_value_list args;
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73
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74 args(2) = t;
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75 args(1) = xdot;
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76 args(0) = x;
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77
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78 if (dassl_fcn.is_defined ())
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79 {
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80 octave_value_list tmp;
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81
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82 try
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83 {
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84 tmp = feval (dassl_fcn, args, 1);
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85 }
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86 catch (execution_exception& ee)
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87 {
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88 err_user_supplied_eval (ee, "dassl");
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89 }
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90
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91 int tlen = tmp.length ();
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92 if (tlen == 0 || ! tmp(0).is_defined ())
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93 err_user_supplied_eval ("dassl");
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94
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95 if (! warned_fcn_imaginary && tmp(0).iscomplex ())
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96 {
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97 warning ("dassl: ignoring imaginary part returned from user-supplied function");
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98 warned_fcn_imaginary = true;
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99 }
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100
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101 retval = tmp(0).vector_value ();
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102
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103 if (tlen > 1)
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104 ires = tmp(1).int_value ();
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105
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106 if (retval.isempty ())
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107 err_user_supplied_eval ("dassl");
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108 }
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109
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110 return retval;
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111 }
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112
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113 static Matrix
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114 dassl_user_jacobian (const ColumnVector& x, const ColumnVector& xdot,
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115 double t, double cj)
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116 {
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117 Matrix retval;
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118
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119 error_unless (x.numel () == xdot.numel ());
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120
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121 octave_value_list args;
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122
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123 args(3) = cj;
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124 args(2) = t;
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125 args(1) = xdot;
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126 args(0) = x;
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127
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128 if (dassl_jac.is_defined ())
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129 {
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130 octave_value_list tmp;
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131
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132 try
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133 {
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134 tmp = feval (dassl_jac, args, 1);
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135 }
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136 catch (execution_exception& ee)
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137 {
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138 err_user_supplied_eval (ee, "dassl");
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139 }
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140
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141 int tlen = tmp.length ();
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142 if (tlen == 0 || ! tmp(0).is_defined ())
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143 err_user_supplied_eval ("dassl");
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144
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145 if (! warned_jac_imaginary && tmp(0).iscomplex ())
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146 {
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147 warning ("dassl: ignoring imaginary part returned from user-supplied jacobian function");
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148 warned_jac_imaginary = true;
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149 }
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150
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151 retval = tmp(0).matrix_value ();
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152
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153 if (retval.isempty ())
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154 err_user_supplied_eval ("dassl");
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155 }
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156
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157 return retval;
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158 }
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159
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160 DEFMETHOD (dassl, interp, args, nargout,
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161 doc: /* -*- texinfo -*-
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162 @deftypefn {} {[@var{x}, @var{xdot}, @var{istate}, @var{msg}] =} dassl (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit})
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163 Solve a set of differential-algebraic equations.
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164
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165 @code{dassl} solves the set of equations
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166 @tex
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167 $$ 0 = f (x, \dot{x}, t) $$
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168 with
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169 $$ x(t_0) = x_0, \dot{x}(t_0) = \dot{x}_0 $$
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170 @end tex
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171 @ifnottex
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172
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173 @example
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174 0 = f (x, xdot, t)
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175 @end example
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176
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177 @noindent
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178 with
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179
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180 @example
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181 x(t_0) = x_0, xdot(t_0) = xdot_0
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182 @end example
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183
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184 @end ifnottex
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185 The solution is returned in the matrices @var{x} and @var{xdot},
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186 with each row in the result matrices corresponding to one of the
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187 elements in the vector @var{t}. The first element of @var{t}
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188 should be @math{t_0} and correspond to the initial state of the
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189 system @var{x_0} and its derivative @var{xdot_0}, so that the first
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190 row of the output @var{x} is @var{x_0} and the first row
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191 of the output @var{xdot} is @var{xdot_0}.
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192
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193 The first argument, @var{fcn}, is a string, inline, or function handle
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194 that names the function @math{f} to call to compute the vector of
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195 residuals for the set of equations. It must have the form
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196
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197 @example
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198 @var{res} = f (@var{x}, @var{xdot}, @var{t})
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199 @end example
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200
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201 @noindent
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202 in which @var{x}, @var{xdot}, and @var{res} are vectors, and @var{t} is a
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203 scalar.
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204
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205 If @var{fcn} is a two-element string array or a two-element cell array
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206 of strings, inline functions, or function handles, the first element names
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207 the function @math{f} described above, and the second element names a
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208 function to compute the modified Jacobian
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209
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210 @tex
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211 $$
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212 J = {\partial f \over \partial x}
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213 + c {\partial f \over \partial \dot{x}}
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214 $$
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215 @end tex
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216 @ifnottex
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217
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218 @example
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219 @group
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220 df df
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221 jac = -- + c ------
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222 dx d xdot
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223 @end group
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224 @end example
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225
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226 @end ifnottex
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227
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228 The modified Jacobian function must have the form
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229
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230 @example
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231 @group
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232
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233 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{c})
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234
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235 @end group
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236 @end example
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237
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238 The second and third arguments to @code{dassl} specify the initial
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239 condition of the states and their derivatives, and the fourth argument
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240 specifies a vector of output times at which the solution is desired,
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241 including the time corresponding to the initial condition.
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242
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243 The set of initial states and derivatives are not strictly required to
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244 be consistent. In practice, however, @sc{dassl} is not very good at
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245 determining a consistent set for you, so it is best if you ensure that
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246 the initial values result in the function evaluating to zero.
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247
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248 The fifth argument is optional, and may be used to specify a set of
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249 times that the DAE solver should not integrate past. It is useful for
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250 avoiding difficulties with singularities and points where there is a
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251 discontinuity in the derivative.
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252
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253 After a successful computation, the value of @var{istate} will be
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254 greater than zero (consistent with the Fortran version of @sc{dassl}).
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255
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256 If the computation is not successful, the value of @var{istate} will be
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257 less than zero and @var{msg} will contain additional information.
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258
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259 You can use the function @code{dassl_options} to set optional
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260 parameters for @code{dassl}.
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261 @seealso{daspk, dasrt, lsode}
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262 @end deftypefn */)
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263 {
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264 int nargin = args.length ();
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265
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266 if (nargin < 4 || nargin > 5)
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267 print_usage ();
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268
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269 warned_fcn_imaginary = false;
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270 warned_jac_imaginary = false;
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271
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272 octave_value_list retval (4);
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273
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274 unwind_protect_var<int> restore_var (call_depth);
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275 call_depth++;
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276
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diff changeset
277 if (call_depth > 1)
20957
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Rik <rik@octave.org>
parents: 20940
diff changeset
278 error ("dassl: invalid recursive call");
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diff changeset
279
26864
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diff changeset
280 std::string fcn_name, fname, jac_name, jname;
23699
b29904962d2d deprecate some global functions that access the symbol table
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parents: 23581
diff changeset
281
26864
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diff changeset
282 dassl_fcn = octave_value ();
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parents: 26376
diff changeset
283 dassl_jac = octave_value ();
20802
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diff changeset
284
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diff changeset
285 octave_value f_arg = args(0);
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diff changeset
286
26864
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diff changeset
287 std::list<std::string> fcn_param_names ({"x", "xdot", "t"});
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diff changeset
288 std::list<std::string> jac_param_names ({"x", "xdot", "t", "cj"});
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parents: 26376
diff changeset
289
23576
00e518162fda maint: Deprecate is_cell and replace with iscell.
Rik <rik@octave.org>
parents: 23473
diff changeset
290 if (f_arg.iscell ())
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parents:
diff changeset
291 {
20802
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parents: 20785
diff changeset
292 Cell c = f_arg.cell_value ();
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parents: 20785
diff changeset
293 if (c.numel () == 1)
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parents: 20785
diff changeset
294 f_arg = c(0);
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diff changeset
295 else if (c.numel () == 2)
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parents: 20785
diff changeset
296 {
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diff changeset
297 dassl_fcn = get_function_handle (interp, c(0), fcn_param_names);
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diff changeset
298
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diff changeset
299 if (dassl_fcn.is_defined ())
20802
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parents: 20785
diff changeset
300 {
29961
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parents: 29958
diff changeset
301 dassl_jac = get_function_handle (interp, c(1), jac_param_names);
20802
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parents: 20785
diff changeset
302
26864
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parents: 26376
diff changeset
303 if (dassl_jac.is_undefined ())
041caa61ed34 use get_function_handle instead of extract_function
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parents: 26376
diff changeset
304 dassl_fcn = octave_value ();
20802
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parents: 20785
diff changeset
305 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
306 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
307 else
20957
9db35d2042be maint: eliminate special cases of statements after error.
Rik <rik@octave.org>
parents: 20940
diff changeset
308 error ("dassl: incorrect number of elements in cell array");
20802
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parents: 20785
diff changeset
309 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
310
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
311 if (dassl_fcn.is_undefined () && ! f_arg.iscell ())
20802
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parents: 20785
diff changeset
312 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
313 if (f_arg.is_function_handle () || f_arg.is_inline_function ())
26864
041caa61ed34 use get_function_handle instead of extract_function
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diff changeset
314 dassl_fcn = f_arg;
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parents: 20785
diff changeset
315 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
316 {
20802
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parents: 20785
diff changeset
317 switch (f_arg.rows ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 10066
diff changeset
318 {
20802
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parents: 20785
diff changeset
319 case 1:
29961
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John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
320 dassl_fcn = get_function_handle (interp, f_arg, fcn_param_names);
20802
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parents: 20785
diff changeset
321 break;
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
322
20802
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parents: 20785
diff changeset
323 case 2:
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John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
324 {
20990
fc9cca99b2de Deprecate all_strings, replace with string_vector_value.
Rik <rik@octave.org>
parents: 20974
diff changeset
325 string_vector tmp = f_arg.string_vector_value ();
3243
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jwe
parents: 3131
diff changeset
326
29961
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parents: 29958
diff changeset
327 dassl_fcn = get_function_handle (interp, tmp(0),
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
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parents: 29958
diff changeset
328 fcn_param_names);
3991
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jwe
parents: 3964
diff changeset
329
26864
041caa61ed34 use get_function_handle instead of extract_function
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parents: 26376
diff changeset
330 if (dassl_fcn.is_defined ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
331 {
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
332 dassl_jac = get_function_handle (interp, tmp(1),
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
333 jac_param_names);
5729
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jwe
parents: 5694
diff changeset
334
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
335 if (dassl_jac.is_undefined ())
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
336 dassl_fcn = octave_value ();
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
337 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
338 }
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
339 break;
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
340
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
341 default:
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
342 error ("dassl: 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
343 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
344 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
345 }
3243
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jwe
parents: 3131
diff changeset
346
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
347 if (dassl_fcn.is_undefined ())
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
348 error ("dassl: FCN argument is not a valid function name or handle");
3243
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jwe
parents: 3131
diff changeset
349
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
350 ColumnVector state = args(1).xvector_value ("dassl: initial state X_0 must be a vector");
2928
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parents:
diff changeset
351
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
352 ColumnVector deriv = args(2).xvector_value ("dassl: initial derivatives XDOT_0 must be a vector");
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
353
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
354 ColumnVector out_times = args(3).xvector_value ("dassl: output time variable T must be a vector");
2928
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jwe
parents:
diff changeset
355
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
356 ColumnVector crit_times;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
357 int crit_times_set = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
358 if (nargin > 4)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
359 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 crit_times = args(4).xvector_value ("dassl: 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
361
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
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diff changeset
362 crit_times_set = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
363 }
3991
48d2bc4a3729 [project @ 2002-07-16 17:46:50 by jwe]
jwe
parents: 3964
diff changeset
364
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
365 if (state.numel () != deriv.numel ())
20957
9db35d2042be maint: eliminate special cases of statements after error.
Rik <rik@octave.org>
parents: 20940
diff changeset
366 error ("dassl: X and XDOT_0 must have the same size");
3991
48d2bc4a3729 [project @ 2002-07-16 17:46:50 by jwe]
jwe
parents: 3964
diff changeset
367
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
368 double tzero = out_times (0);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
369
30896
c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/.
Rik <rik@octave.org>
parents: 30723
diff changeset
370 DAEFunc fcn (dassl_user_function);
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
371 if (dassl_jac.is_defined ())
30896
c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/.
Rik <rik@octave.org>
parents: 30723
diff changeset
372 fcn.set_jacobian_function (dassl_user_jacobian);
3243
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jwe
parents: 3131
diff changeset
373
30896
c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/.
Rik <rik@octave.org>
parents: 30723
diff changeset
374 DASSL dae (state, deriv, tzero, fcn);
2928
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jwe
parents:
diff changeset
375
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
376 dae.set_options (dassl_opts);
5729
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jwe
parents: 5694
diff changeset
377
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
378 Matrix output;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
379 Matrix deriv_output;
3997
d4091aff6468 [project @ 2002-07-17 18:00:06 by jwe]
jwe
parents: 3991
diff changeset
380
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
381 if (crit_times_set)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
382 output = dae.integrate (out_times, deriv_output, crit_times);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
383 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
384 output = dae.integrate (out_times, deriv_output);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
385
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
386 std::string msg = dae.error_message ();
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
387
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
388 if (dae.integration_ok ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
389 {
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
390 retval(0) = output;
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
391 retval(1) = deriv_output;
2928
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jwe
parents:
diff changeset
392 }
3243
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jwe
parents: 3131
diff changeset
393 else
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
394 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
395 if (nargout < 3)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
396 error ("dassl: %s", msg.c_str ());
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
397
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
398 retval(0) = Matrix ();
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
399 retval(1) = Matrix ();
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
400 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
401
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
402 retval(2) = static_cast<double> (dae.integration_state ());
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
403 retval(3) = msg;
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20853
diff changeset
404
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
405 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
406 }
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 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
409 ## dassl-1.m
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
410 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
411 ## Test dassl() function
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
412 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
413 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
414 ## Comalco Research and Technology
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
415 ## 20 May 1998
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
416 ##
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
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417 ## Problem
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418 ##
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419 ## y1' = -y2, y1(0) = 1
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420 ## y2' = y1, y2(0) = 0
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421 ##
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422 ## Solution
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423 ##
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424 ## y1(t) = cos(t)
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425 ## y2(t) = sin(t)
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426 ##
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427 %!function res = __f (x, xdot, t)
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428 %! res = [xdot(1)+x(2); xdot(2)-x(1)];
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429 %!endfunction
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430
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431 %!test
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432 %!
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433 %! x0 = [1; 0];
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434 %! xdot0 = [0; 1];
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435 %! t = (0:1:10)';
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436 %!
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437 %! tol = 100 * dassl_options ("relative tolerance");
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438 %!
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439 %! [x, xdot] = dassl ("__f", x0, xdot0, t);
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440 %!
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441 %! y = [cos(t), sin(t)];
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442 %!
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443 %! assert (x, y, tol);
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444
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445 ## dassl-2.m
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446 ##
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447 ## Test dassl() function
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448 ##
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449 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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450 ## Comalco Research and Technology
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451 ## 20 May 1998
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452 ##
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453 ## Based on SLATEC quick check for DASSL by Linda Petzold
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454 ##
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455 ## Problem
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456 ##
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457 ## x1' + 10*x1 = 0, x1(0) = 1
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458 ## x1 + x2 = 1, x2(0) = 0
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459 ##
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460 ##
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461 ## Solution
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462 ##
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463 ## x1(t) = exp(-10*t)
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464 ## x2(t) = 1 - x(1)
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465 ##
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466 %!function res = __f (x, xdot, t)
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467 %! res = [xdot(1)+10*x(1); x(1)+x(2)-1];
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468 %!endfunction
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469
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470 %!test
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471 %!
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472 %! x0 = [1; 0];
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473 %! xdot0 = [-10; 10];
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474 %! t = (0:0.2:1)';
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475 %!
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476 %! tol = 500 * dassl_options ("relative tolerance");
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477 %!
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478 %! [x, xdot] = dassl ("__f", x0, xdot0, t);
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479 %!
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480 %! y = [exp(-10*t), 1-exp(-10*t)];
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481 %!
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482 %! assert (x, y, tol);
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483
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484 %!test
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485 %! old_tol = dassl_options ("absolute tolerance");
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486 %! dassl_options ("absolute tolerance", eps);
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487 %! assert (dassl_options ("absolute tolerance") == eps);
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488 %! ## Restore old value of tolerance
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489 %! dassl_options ("absolute tolerance", old_tol);
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490
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491 %!error dassl_options ("foo", 1, 2)
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492 */
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493
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494 OCTAVE_NAMESPACE_END