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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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23 #ifdef HAVE_CONFIG_H |
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24 #include <config.h> |
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25 #endif |
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26 |
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27 #include <string> |
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28 |
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29 #include <iomanip> |
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30 #include <iostream> |
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31 |
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32 #include "DASSL.h" |
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33 |
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34 #include "defun-dld.h" |
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35 #include "error.h" |
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36 #include "gripes.h" |
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37 #include "oct-obj.h" |
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38 #include "ov-fcn.h" |
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39 #include "pager.h" |
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40 #include "unwind-prot.h" |
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41 #include "utils.h" |
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42 #include "variables.h" |
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43 |
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44 #include "DASSL-opts.cc" |
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45 |
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46 // Global pointer for user defined function required by dassl. |
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47 static octave_function *dassl_fcn; |
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48 |
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49 // Global pointer for optional user defined jacobian function. |
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50 static octave_function *dassl_jac; |
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51 |
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52 // Is this a recursive call? |
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53 static int call_depth = 0; |
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54 |
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55 ColumnVector |
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56 dassl_user_function (const ColumnVector& x, const ColumnVector& xdot, |
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57 double t, int& ires) |
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58 { |
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59 ColumnVector retval; |
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60 |
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61 int nstates = x.capacity (); |
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62 |
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63 assert (nstates == xdot.capacity ()); |
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64 |
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65 octave_value_list args; |
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66 args(2) = t; |
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67 |
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68 if (nstates > 1) |
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69 { |
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70 Matrix m1 (nstates, 1); |
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71 Matrix m2 (nstates, 1); |
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72 for (int i = 0; i < nstates; i++) |
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73 { |
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74 m1 (i, 0) = x (i); |
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75 m2 (i, 0) = xdot (i); |
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76 } |
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77 octave_value state (m1); |
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78 octave_value deriv (m2); |
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79 args(1) = deriv; |
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80 args(0) = state; |
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81 } |
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82 else |
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83 { |
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84 double d1 = x (0); |
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85 double d2 = xdot (0); |
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86 octave_value state (d1); |
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87 octave_value deriv (d2); |
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88 args(1) = deriv; |
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89 args(0) = state; |
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90 } |
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91 |
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92 if (dassl_fcn) |
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93 { |
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94 octave_value_list tmp = dassl_fcn->do_multi_index_op (1, args); |
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95 |
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96 if (error_state) |
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97 { |
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98 gripe_user_supplied_eval ("dassl"); |
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99 return retval; |
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100 } |
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101 |
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102 int tlen = tmp.length (); |
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103 if (tlen > 0 && tmp(0).is_defined ()) |
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104 { |
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105 retval = ColumnVector (tmp(0).vector_value ()); |
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106 |
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107 if (tlen > 1) |
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108 ires = tmp(1).int_value (); |
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109 |
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110 if (error_state || retval.length () == 0) |
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111 gripe_user_supplied_eval ("dassl"); |
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112 } |
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113 else |
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114 gripe_user_supplied_eval ("dassl"); |
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115 } |
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116 |
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117 return retval; |
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118 } |
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119 |
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120 Matrix |
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121 dassl_user_jacobian (const ColumnVector& x, const ColumnVector& xdot, |
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122 double t, double cj) |
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123 { |
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124 Matrix retval; |
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125 |
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126 int nstates = x.capacity (); |
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127 |
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128 assert (nstates == xdot.capacity ()); |
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129 |
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130 octave_value_list args; |
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131 |
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132 args(3) = cj; |
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133 args(2) = t; |
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134 |
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135 if (nstates > 1) |
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136 { |
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137 Matrix m1 (nstates, 1); |
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138 Matrix m2 (nstates, 1); |
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139 for (int i = 0; i < nstates; i++) |
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140 { |
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141 m1 (i, 0) = x (i); |
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142 m2 (i, 0) = xdot (i); |
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143 } |
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144 octave_value state (m1); |
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145 octave_value deriv (m2); |
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146 args(1) = deriv; |
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147 args(0) = state; |
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148 } |
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149 else |
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150 { |
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151 double d1 = x (0); |
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152 double d2 = xdot (0); |
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153 octave_value state (d1); |
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154 octave_value deriv (d2); |
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155 args(1) = deriv; |
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156 args(0) = state; |
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157 } |
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158 |
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159 if (dassl_jac) |
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160 { |
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161 octave_value_list tmp = dassl_jac->do_multi_index_op (1, args); |
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162 |
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163 if (error_state) |
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164 { |
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165 gripe_user_supplied_eval ("dassl"); |
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166 return retval; |
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167 } |
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168 |
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169 int tlen = tmp.length (); |
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170 if (tlen > 0 && tmp(0).is_defined ()) |
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171 { |
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172 retval = tmp(0).matrix_value (); |
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173 |
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174 if (error_state || retval.length () == 0) |
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175 gripe_user_supplied_eval ("dassl"); |
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176 } |
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177 else |
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178 gripe_user_supplied_eval ("dassl"); |
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179 } |
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180 |
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181 return retval; |
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182 } |
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183 |
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184 #define DASSL_ABORT() \ |
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185 do \ |
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186 { \ |
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187 unwind_protect::run_frame ("Fdassl"); \ |
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188 return retval; \ |
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189 } \ |
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190 while (0) |
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191 |
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192 #define DASSL_ABORT1(msg) \ |
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193 do \ |
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194 { \ |
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195 ::error ("dassl: " msg); \ |
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196 DASSL_ABORT (); \ |
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197 } \ |
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198 while (0) |
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199 |
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200 #define DASSL_ABORT2(fmt, arg) \ |
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201 do \ |
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202 { \ |
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203 ::error ("dassl: " fmt, arg); \ |
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204 DASSL_ABORT (); \ |
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205 } \ |
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206 while (0) |
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207 |
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208 DEFUN_DLD (dassl, args, nargout, |
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209 "-*- texinfo -*-\n\ |
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210 @deftypefn {Loadable Function} {[@var{x}, @var{xdot}, @var{istate}, @var{msg}] =} dassl (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit})\n\ |
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211 Solve the set of differential-algebraic equations\n\ |
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212 @tex\n\ |
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213 $$ 0 = f (\\dot{x}, x, t) $$\n\ |
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214 with\n\ |
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215 $$ x(t_0) = x_0, \\dot{x}(t_0) = \\dot{x}_0 $$\n\ |
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216 @end tex\n\ |
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217 @ifinfo\n\ |
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218 \n\ |
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219 @example\n\ |
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220 0 = f (xdot, x, t)\n\ |
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221 @end example\n\ |
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222 \n\ |
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223 with\n\ |
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224 \n\ |
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225 @example\n\ |
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226 x(t_0) = x_0, xdot(t_0) = xdot_0\n\ |
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227 @end example\n\ |
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228 \n\ |
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229 @end ifinfo\n\ |
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230 The solution is returned in the matrices @var{x} and @var{xdot},\n\ |
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231 with each row in the result matrices corresponding to one of the\n\ |
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232 elements in the vector @var{t}. The first element of @var{t}\n\ |
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233 should be @math{t_0} and correspond to the initial state of the\n\ |
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234 system @var{x_0} and its derivative @var{xdot_0}, so that the first\n\ |
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235 row of the output @var{x} is @var{x_0} and the first row\n\ |
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236 of the output @var{xdot} is @var{xdot_0}.\n\ |
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237 \n\ |
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238 The first argument, @var{fcn}, is a string that names the function to\n\ |
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239 call to compute the vector of residuals for the set of equations.\n\ |
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240 It must have the form\n\ |
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241 \n\ |
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242 @example\n\ |
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243 @var{res} = f (@var{x}, @var{xdot}, @var{t})\n\ |
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244 @end example\n\ |
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245 \n\ |
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246 @noindent\n\ |
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247 in which @var{x}, @var{xdot}, and @var{res} are vectors, and @var{t} is a\n\ |
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248 scalar.\n\ |
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249 \n\ |
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250 If @var{fcn} is a two-element string array, the first element names\n\ |
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251 the function @math{f} described above, and the second element names\n\ |
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252 a function to compute the modified Jacobian\n\ |
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253 \n\ |
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254 @tex\n\ |
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255 $$\n\ |
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256 J = {\\partial f \\over \\partial x}\n\ |
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257 + c {\\partial f \\over \\partial \\dot{x}}\n\ |
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258 $$\n\ |
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259 @end tex\n\ |
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260 @ifinfo\n\ |
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261 df df\n\ |
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262 jac = -- + c ------\n\ |
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263 dx d xdot\n\ |
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264 @example\n\ |
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265 @end example\n\ |
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266 \n\ |
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267 @end ifinfo\n\ |
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268 \n\ |
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269 The modified Jacobian function must have the form\n\ |
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270 \n\ |
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271 @example\n\ |
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272 \n\ |
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273 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{c})\n\ |
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274 \n\ |
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275 @end example\n\ |
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276 \n\ |
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277 The second and third arguments to @code{dassl} specify the initial\n\ |
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278 condition of the states and their derivatives, and the fourth argument\n\ |
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279 specifies a vector of output times at which the solution is desired,\n\ |
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280 including the time corresponding to the initial condition.\n\ |
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281 \n\ |
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282 The set of initial states and derivatives are not strictly required to\n\ |
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283 be consistent. In practice, however, @sc{Dassl} is not very good at\n\ |
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284 determining a consistent set for you, so it is best if you ensure that\n\ |
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285 the initial values result in the function evaluating to zero.\n\ |
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286 \n\ |
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287 The fifth argument is optional, and may be used to specify a set of\n\ |
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288 times that the DAE solver should not integrate past. It is useful for\n\ |
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289 avoiding difficulties with singularities and points where there is a\n\ |
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290 discontinuity in the derivative.\n\ |
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291 \n\ |
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292 After a successful computation, the value of @var{istate} will be\n\ |
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293 greater than zero (consistent with the Fortran version of @sc{Dassl}).\n\ |
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294 \n\ |
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295 If the computation is not successful, the value of @var{istate} will be\n\ |
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296 less than zero and @var{msg} will contain additional information.\n\ |
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297 \n\ |
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298 You can use the function @code{dassl_options} to set optional\n\ |
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299 parameters for @code{dassl}.\n\ |
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300 @end deftypefn\n\ |
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301 @seealso{daspk, dasrt, lsode, odessa}") |
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302 { |
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303 octave_value_list retval; |
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304 |
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305 unwind_protect::begin_frame ("Fdassl"); |
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306 |
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307 unwind_protect_int (call_depth); |
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308 call_depth++; |
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309 |
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310 if (call_depth > 1) |
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311 DASSL_ABORT1 ("invalid recursive call"); |
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312 |
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313 int nargin = args.length (); |
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314 |
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315 if (nargin > 3 && nargin < 6 && nargout < 5) |
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316 { |
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317 dassl_fcn = 0; |
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318 dassl_jac = 0; |
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319 |
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320 octave_value f_arg = args(0); |
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321 |
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322 switch (f_arg.rows ()) |
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323 { |
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324 case 1: |
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325 dassl_fcn = extract_function |
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326 (f_arg, "dassl", "__dassl_fcn__", |
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327 "function res = __dassl_fcn__ (x, xdot, t) res = ", |
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328 "; endfunction"); |
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329 break; |
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330 |
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331 case 2: |
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332 { |
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333 string_vector tmp = f_arg.all_strings (); |
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334 |
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335 if (! error_state) |
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336 { |
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337 dassl_fcn = extract_function |
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338 (tmp(0), "dassl", "__dassl_fcn__", |
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339 "function res = __dassl_fcn__ (x, xdot, t) res = ", |
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340 "; endfunction"); |
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341 |
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342 if (dassl_fcn) |
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343 { |
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344 dassl_jac = extract_function |
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345 (tmp(1), "dassl", "__dassl_jac__", |
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346 "function jac = __dassl_jac__ (x, xdot, t, cj) jac = ", |
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347 "; endfunction"); |
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348 |
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349 if (! dassl_jac) |
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350 dassl_fcn = 0; |
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351 } |
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352 } |
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353 } |
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354 } |
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355 |
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356 if (error_state || ! dassl_fcn) |
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357 DASSL_ABORT (); |
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358 |
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359 ColumnVector state = ColumnVector (args(1).vector_value ()); |
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360 |
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361 if (error_state) |
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362 DASSL_ABORT1 ("expecting state vector as second argument"); |
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363 |
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364 ColumnVector deriv (args(2).vector_value ()); |
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365 |
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366 if (error_state) |
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367 DASSL_ABORT1 ("expecting derivative vector as third argument"); |
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368 |
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369 ColumnVector out_times (args(3).vector_value ()); |
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370 |
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371 if (error_state) |
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372 DASSL_ABORT1 ("expecting output time vector as fourth argument"); |
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373 |
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374 ColumnVector crit_times; |
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375 int crit_times_set = 0; |
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376 if (nargin > 4) |
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377 { |
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378 crit_times = ColumnVector (args(4).vector_value ()); |
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379 |
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380 if (error_state) |
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381 DASSL_ABORT1 ("expecting critical time vector as fifth argument"); |
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382 |
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383 crit_times_set = 1; |
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384 } |
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385 |
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386 if (state.capacity () != deriv.capacity ()) |
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387 DASSL_ABORT1 ("x and xdot must have the same size"); |
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388 |
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389 double tzero = out_times (0); |
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390 |
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391 DAEFunc func (dassl_user_function); |
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392 if (dassl_jac) |
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393 func.set_jacobian_function (dassl_user_jacobian); |
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394 |
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395 DASSL dae (state, deriv, tzero, func); |
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396 |
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397 dae.copy (dassl_opts); |
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398 |
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399 Matrix output; |
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400 Matrix deriv_output; |
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401 |
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402 if (crit_times_set) |
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403 output = dae.integrate (out_times, deriv_output, crit_times); |
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404 else |
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405 output = dae.integrate (out_times, deriv_output); |
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406 |
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407 if (! error_state) |
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408 { |
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409 std::string msg = dae.error_message (); |
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410 |
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411 retval(3) = msg; |
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412 retval(2) = static_cast<double> (dae.integration_state ()); |
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413 |
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414 if (dae.integration_ok ()) |
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415 { |
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416 retval(1) = deriv_output; |
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417 retval(0) = output; |
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418 } |
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419 else |
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420 { |
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421 retval(1) = Matrix (); |
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422 retval(0) = Matrix (); |
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423 |
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424 if (nargout < 3) |
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425 error ("dassl: %s", msg.c_str ()); |
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426 } |
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427 } |
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428 } |
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429 else |
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430 print_usage ("dassl"); |
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431 |
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432 unwind_protect::run_frame ("Fdassl"); |
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433 |
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434 return retval; |
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435 } |
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436 |
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437 /* |
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438 ;;; Local Variables: *** |
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439 ;;; mode: C++ *** |
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440 ;;; End: *** |
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441 */ |
