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3990
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1 /* |
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2 |
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3 Copyright (C) 2002 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 <iostream.h> |
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30 |
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31 #include "DASRT.h" |
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32 #include "lo-mappers.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 "parse.h" |
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41 #include "unwind-prot.h" |
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42 #include "utils.h" |
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43 #include "variables.h" |
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44 |
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45 // Global pointers for user defined function required by dassl. |
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46 static octave_function *dasrt_f; |
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47 static octave_function *dasrt_j; |
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48 static octave_function *dasrt_cf; |
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49 |
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50 static DASRT_options dasrt_opts; |
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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 static ColumnVector |
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56 dasrt_user_f (const ColumnVector& x, const ColumnVector& xprime, |
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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 octave_value_list args; |
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62 |
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63 int n = x.length (); |
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64 |
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65 if (n > 1) |
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66 { |
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67 args(0) = x; |
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68 args(1) = xprime; |
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69 } |
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70 else if (n == 1) |
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71 { |
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72 args(0) = x(0); |
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73 args(1) = xprime(0); |
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74 } |
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75 else |
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76 { |
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77 args(0) = Matrix (); |
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78 args(1) = Matrix (); |
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79 } |
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80 |
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81 args(2) = t; |
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82 |
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83 if (dasrt_f) |
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84 { |
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85 octave_value_list tmp = dasrt_f->do_multi_index_op (1, args); |
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86 |
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87 if (error_state) |
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88 { |
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89 gripe_user_supplied_eval ("dasrt"); |
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90 return retval; |
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91 } |
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92 |
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93 if (tmp.length () > 0 && tmp(0).is_defined ()) |
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94 { |
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95 retval = ColumnVector (tmp(0).vector_value ()); |
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96 |
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97 if (error_state || retval.length () == 0) |
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98 gripe_user_supplied_eval ("dasrt"); |
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99 } |
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100 else |
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101 gripe_user_supplied_eval ("dasrt"); |
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102 } |
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103 |
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104 return retval; |
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105 } |
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106 |
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107 static ColumnVector |
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108 dasrt_user_cf (const ColumnVector& x, double t) |
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109 { |
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110 ColumnVector retval; |
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111 |
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112 octave_value_list args; |
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113 |
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114 int n = x.length (); |
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115 |
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116 if (n > 1) |
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117 args(0) = x; |
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118 else if (n == 1) |
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119 args(0) = x(0); |
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120 else |
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121 args(0) = Matrix (); |
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122 |
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123 args(1) = t; |
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124 |
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125 if (dasrt_cf) |
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126 { |
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127 octave_value_list tmp = dasrt_cf->do_multi_index_op (1, args); |
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128 |
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129 if (error_state) |
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130 { |
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131 gripe_user_supplied_eval ("dasrt"); |
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132 return retval; |
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133 } |
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134 |
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135 if (tmp.length () > 0 && tmp(0).is_defined ()) |
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136 { |
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137 retval = ColumnVector (tmp(0).vector_value ()); |
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138 |
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139 if (error_state || retval.length () == 0) |
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140 gripe_user_supplied_eval ("dasrt"); |
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141 } |
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142 else |
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143 gripe_user_supplied_eval ("dasrt"); |
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144 } |
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145 |
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146 return retval; |
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147 } |
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148 |
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149 static ColumnVector |
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150 dasrt_dumb_cf (const ColumnVector& x, double t) |
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151 { |
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152 ColumnVector retval (1, 1.0); |
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153 return retval; |
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154 } |
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155 |
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156 #if 0 |
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157 static Matrix |
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158 dasrt_user_mf (double t, const ColumnVector& x, const ColumnVector& xprime, |
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159 const double& cj, octave_function *mf) |
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160 { |
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161 Matrix retval; |
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162 |
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163 if (mf) |
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164 { |
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165 octave_value_list args; |
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166 |
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167 int n = x.length (); |
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168 |
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169 if (n > 1) |
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170 { |
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171 args(0) = x; |
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172 args(1) = xprime; |
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173 args(3) = cj; |
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174 } |
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175 else if (n == 1) |
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176 { |
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177 args(0) = x(0); |
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178 args(1) = xprime(0); |
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179 args(3) = cj; |
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180 } |
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181 else |
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182 { |
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183 args(0) = Matrix (); |
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184 args(1) = Matrix (); |
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185 args(3) = Matrix (); |
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186 } |
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187 |
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188 args(2) = t; |
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189 |
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190 octave_value_list tmp = mf->do_multi_index_op (1, args); |
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191 |
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192 if (error_state) |
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193 { |
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194 gripe_user_supplied_eval ("dasrt"); |
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195 return retval; |
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196 } |
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197 |
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198 if (tmp.length () > 0 && tmp(0).is_defined ()) |
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199 { |
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200 retval = tmp(0).matrix_value (); |
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201 |
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202 if (error_state || retval.length () == 0) |
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203 gripe_user_supplied_eval ("dasrt"); |
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204 } |
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205 else |
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206 gripe_user_supplied_eval ("dasrt"); |
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207 } |
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208 |
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209 return retval; |
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210 } |
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211 |
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212 static Matrix |
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213 dasrt_user_j (const ColumnVector& x, const ColumnVector& xprime, double t) |
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214 { |
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215 return dasrt_user_mf (t, x, xprime, dasrt_j); |
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216 } |
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217 #endif |
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218 |
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219 #define DASRT_ABORT \ |
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220 do \ |
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221 { \ |
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222 unwind_protect::run_frame ("Fdasrt"); \ |
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223 return retval; \ |
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224 } \ |
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225 while (0) |
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226 |
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227 #define DASRT_ABORT1(msg) \ |
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228 do \ |
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229 { \ |
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230 ::error ("dasrt: " ## msg); \ |
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231 DASRT_ABORT; \ |
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232 } \ |
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233 while (0) |
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234 |
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235 #define DASRT_ABORT2(fmt, arg) \ |
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236 do \ |
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237 { \ |
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238 ::error ("dasrt: " ## fmt, arg); \ |
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239 DASRT_ABORT; \ |
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240 } \ |
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241 while (0) |
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242 |
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243 DEFUN_DLD (dasrt, args, , |
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244 "-*- texinfo -*-\n\ |
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245 @deftypefn {Loadable Function} {[@var{x}, @var{xdot}, @var{t}] =} dasrt (@var{fj} [, @var{g}], @var{x_0}, @var{xdot_0}, @var{t_out} [, @var{t_crit}])\n\ |
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246 Solve a system of differential/algebraic equations with functional\n\ |
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247 stopping criteria.\n\ |
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248 \n\ |
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249 The function to be integrated must be of the form:\n\ |
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250 @example\n\ |
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251 @var{res} = f (@var{x}, @var{xdot}, @var{t}) = 0\n\ |
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252 @end example\n\ |
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253 \n\ |
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254 The stopping condition must be of the form:\n\ |
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255 \n\ |
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256 @example\n\ |
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257 @var{res} = g (@var{x}, @var{t}) = 0\n\ |
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258 @end example\n\ |
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259 \n\ |
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260 The Jacobian (if included) must be of the form:\n\ |
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261 \n\ |
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262 @example\n\ |
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263 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{cj})\n\ |
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264 = df/dx + cj*df/dxdot\n\ |
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265 @end example\n\ |
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266 \n\ |
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267 @noindent\n\ |
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268 The following inputs are entered:\n\ |
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269 \n\ |
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270 @table @var\n\ |
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271 @item fj\n\ |
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272 The string vector containing either @var{f} or both @var{f} and @var{j}.\n\ |
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273 \n\ |
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274 @item f\n\ |
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275 The function to be integrated.\n\ |
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276 \n\ |
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277 @item g\n\ |
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278 The function with the stopping conditions.\n\ |
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279 \n\ |
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280 @item j\n\ |
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281 The optional Jacobian function. If not included, it will be approximated\n\ |
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282 by finite differences.\n\ |
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283 \n\ |
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284 @item x_0\n\ |
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285 The initial state.\n\ |
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286 \n\ |
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287 @item xdot_0\n\ |
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288 The time derivative of the initial state.\n\ |
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289 \n\ |
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290 @item t_out\n\ |
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291 The times at which the solution should be returned. This vector should\n\ |
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292 include the initial time a the first value.\n\ |
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293 \n\ |
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294 @item t_crit\n\ |
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295 The times at which the function is non-smooth or poorly behaved.\n\ |
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296 \n\ |
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297 @end table\n\ |
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298 \n\ |
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299 @noindent\n\ |
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300 The following outputs are returned:\n\ |
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301 \n\ |
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302 @table @var\n\ |
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303 @item x\n\ |
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304 The states at each time in @var{t}.\n\ |
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305 \n\ |
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306 @item xdot\n\ |
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307 The time derivative of the states at each time in @var{t}.\n\ |
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308 \n\ |
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309 @item t\n\ |
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310 All the times in the requested output time vector up to the stopping\n\ |
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311 criteria. The time at which the stopping criteria is achieved is returned\n\ |
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312 as the last time in the vector.\n\ |
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313 @end table\n\ |
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314 \n\ |
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315 You can use the function @code{dasrt_options} to set optional\n\ |
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316 parameters for @code{dasrt}.\n\ |
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317 @end deftypefn") |
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318 { |
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319 octave_value_list retval; |
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320 |
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321 unwind_protect::begin_frame ("Fdasrt"); |
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322 |
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323 unwind_protect_int (call_depth); |
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324 call_depth++; |
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325 |
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326 if (call_depth > 1) |
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327 DASRT_ABORT1 ("invalid recursive call"); |
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328 |
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329 int argp = 0; |
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330 |
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331 int nargin = args.length (); |
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332 |
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333 if (nargin < 4 || nargin > 6) |
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334 { |
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335 print_usage ("dasrt"); |
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336 unwind_protect::run_frame ("Fdasrt"); |
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337 return retval; |
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338 } |
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339 |
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340 dasrt_f = 0; |
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341 dasrt_j = 0; |
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342 dasrt_cf = 0; |
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343 |
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344 // Check all the arguments. Are they the right animals? |
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345 |
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346 // Here's where I take care of f and j in one shot: |
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347 |
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348 octave_value f_arg = args(0); |
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349 |
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350 switch (f_arg.rows ()) |
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351 { |
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352 case 1: |
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353 dasrt_f = extract_function |
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354 (args(0), "dasrt", "__dasrt_fcn__", |
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355 "function res = __dasrt_fcn__ (x, xdot, t) res = ", |
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356 "; endfunction"); |
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357 break; |
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358 |
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359 case 2: |
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360 { |
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361 string_vector tmp = args(0).all_strings (); |
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362 |
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363 if (! error_state) |
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364 { |
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365 dasrt_f = extract_function |
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366 (tmp(0), "dasrt", "__dasrt_fcn__", |
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367 "function res = __dasrt_fcn__ (x, xdot, t) res = ", |
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368 "; endfunction"); |
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369 |
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370 if (dasrt_f) |
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371 { |
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372 dasrt_j = extract_function |
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373 (tmp(1), "dasrt", "__dasrt_jac__", |
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374 "function jac = __dasrt_jac__ (x, xdot, t, cj) jac = ", |
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375 "; endfunction"); |
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376 |
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377 if (! dasrt_j) |
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378 dasrt_f = 0; |
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379 } |
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380 } |
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381 } |
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382 break; |
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383 |
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384 default: |
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385 DASRT_ABORT1 |
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386 ("first arg should be a string or 2-element string array"); |
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387 } |
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388 |
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389 if (error_state || (! dasrt_f)) |
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390 DASRT_ABORT; |
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391 |
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392 DAERTFunc func (dasrt_user_f); |
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393 |
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394 argp++; |
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395 |
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396 if (args(1).is_string ()) |
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397 { |
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398 dasrt_cf = is_valid_function (args(1), "dasrt", true); |
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399 |
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400 if (! dasrt_cf) |
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3992
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401 DASRT_ABORT1 ("expecting function name as argument 2"); |
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3990
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402 |
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403 argp++; |
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404 |
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405 func.set_constraint_function (dasrt_user_cf); |
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406 } |
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407 |
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408 ColumnVector state (args(argp++).vector_value ()); |
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409 |
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410 if (error_state) |
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411 DASRT_ABORT2 ("expecting state vector as argument %d", argp); |
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412 |
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3992
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413 ColumnVector stateprime (args(argp++).vector_value ()); |
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3990
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414 |
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415 if (error_state) |
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416 DASRT_ABORT2 |
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417 ("expecting time derivative of state vector as argument %d", argp); |
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418 |
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419 ColumnVector old_out_times (args(argp++).vector_value ()); |
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420 |
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421 if (error_state) |
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422 DASRT_ABORT2 |
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423 ("expecting output time vector as %s argument %d", argp); |
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424 |
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425 double tzero = old_out_times (0); |
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426 |
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427 int ol = old_out_times.length (); |
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428 |
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429 ColumnVector out_times (ol-1, 0.0); |
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430 |
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3992
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431 for (int i = 1; i < ol; i++) |
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432 out_times(i-1) = old_out_times(i); |
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3990
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433 |
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434 ColumnVector crit_times; |
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435 |
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436 bool crit_times_set = false; |
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437 |
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438 if (argp < nargin) |
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439 { |
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440 crit_times = ColumnVector (args(argp++).vector_value ()); |
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441 |
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442 if (error_state) |
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443 DASRT_ABORT2 |
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444 ("expecting critical time vector as argument %d", argp); |
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445 |
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446 crit_times_set = true; |
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447 } |
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448 |
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449 #if 0 |
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450 if (dasrt_j) |
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451 func.set_jacobian_function (dasrt_user_j); |
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452 #endif |
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453 |
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454 DASRT_result output; |
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455 |
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3992
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456 DASRT dae = DASRT (state, stateprime, tzero, func); |
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3990
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457 |
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458 dae.copy (dasrt_opts); |
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459 |
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460 if (error_state) |
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461 DASRT_ABORT1 ("something is wrong"); |
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462 |
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463 if (crit_times_set) |
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464 output = dae.integrate (out_times, crit_times); |
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465 else |
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466 output = dae.integrate (out_times); |
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467 |
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468 if (! error_state) |
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469 { |
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470 ColumnVector old_output_times = output.times (); |
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471 |
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472 Matrix old_output_deriv = output.deriv (); |
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473 Matrix old_output_state = output.state (); |
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474 |
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475 int lstuff = old_output_times.length (); |
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3992
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476 int lstate = state.length (); |
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3990
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477 |
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478 ColumnVector output_times (lstuff+1, 0.0); |
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479 |
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480 Matrix output_deriv (lstuff+1, lstate, 0.0); |
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481 Matrix output_state (lstuff+1, lstate, 0.0); |
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482 |
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483 output_times(0) = tzero; |
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484 |
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3992
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485 for (int i = 0; i < lstate; i++) |
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3990
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486 { |
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3992
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487 output_deriv(0,i) = stateprime(i); |
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488 output_state(0,i) = state(i); |
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3990
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489 } |
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490 |
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3992
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491 for (int i = 0; i < lstuff; i++) |
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3990
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492 { |
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3992
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493 output_times(i+1) = old_output_times(i); |
|
3990
|
494 |
|
3992
|
495 for (int j = 0; j < lstate; j++) |
|
3990
|
496 { |
|
3992
|
497 output_deriv(i+1,j) = old_output_deriv(i,j); |
|
|
498 output_state(i+1,j) = old_output_state(i,j); |
|
3990
|
499 } |
|
|
500 } |
|
|
501 |
|
|
502 retval(2) = output_times; |
|
|
503 retval(1) = output_deriv; |
|
|
504 retval(0) = output_state; |
|
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505 } |
|
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506 else |
|
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507 { |
|
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508 DASRT_ABORT1("something wicked has occurred!"); |
|
|
509 // print_usage ("dasrt"); |
|
|
510 } |
|
|
511 |
|
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512 unwind_protect::run_frame ("Fdasrt"); |
|
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513 |
|
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514 return retval; |
|
|
515 } |
|
|
516 |
|
|
517 typedef void (DASRT_options::*d_set_opt_mf) (double); |
|
|
518 typedef void (DASRT_options::*i_set_opt_mf) (int); |
|
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519 typedef double (DASRT_options::*d_get_opt_mf) (void); |
|
|
520 typedef int (DASRT_options::*i_get_opt_mf) (void); |
|
|
521 |
|
|
522 #define MAX_TOKENS 3 |
|
|
523 |
|
|
524 struct DASRT_OPTIONS |
|
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525 { |
|
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526 const char *keyword; |
|
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527 const char *kw_tok[MAX_TOKENS + 1]; |
|
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528 int min_len[MAX_TOKENS + 1]; |
|
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529 int min_toks_to_match; |
|
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530 d_set_opt_mf d_set_fcn; |
|
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531 i_set_opt_mf i_set_fcn; |
|
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532 d_get_opt_mf d_get_fcn; |
|
|
533 i_get_opt_mf i_get_fcn; |
|
|
534 }; |
|
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535 |
|
|
536 static DASRT_OPTIONS dasrt_option_table [] = |
|
|
537 { |
|
|
538 { "absolute tolerance", |
|
|
539 { "absolute", "tolerance", 0, 0, }, |
|
|
540 { 1, 0, 0, 0, }, 1, |
|
|
541 &DASRT_options::set_absolute_tolerance, 0, |
|
|
542 &DASRT_options::absolute_tolerance, 0, }, |
|
|
543 |
|
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544 { "initial step size", |
|
|
545 { "initial", "step", "size", 0, }, |
|
|
546 { 1, 0, 0, 0, }, 1, |
|
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547 &DASRT_options::set_initial_step_size, 0, |
|
|
548 &DASRT_options::initial_step_size, 0, }, |
|
|
549 |
|
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550 { "maximum step size", |
|
|
551 { "maximum", "step", "size", 0, }, |
|
|
552 { 2, 0, 0, 0, }, 1, |
|
|
553 &DASRT_options::set_maximum_step_size, 0, |
|
|
554 &DASRT_options::maximum_step_size, 0, }, |
|
|
555 |
|
|
556 { "minimum step size", |
|
|
557 { "minimum", "step", "size", 0, }, |
|
|
558 { 2, 0, 0, 0, }, 1, |
|
|
559 &DASRT_options::set_minimum_step_size, 0, |
|
|
560 &DASRT_options::minimum_step_size, 0, }, |
|
|
561 |
|
|
562 { "relative tolerance", |
|
|
563 { "relative", "tolerance", 0, 0, }, |
|
|
564 { 1, 0, 0, 0, }, 1, |
|
|
565 &DASRT_options::set_relative_tolerance, 0, |
|
|
566 &DASRT_options::relative_tolerance, 0, }, |
|
|
567 |
|
|
568 { "step limit", |
|
|
569 { "step", "limit", 0, 0, }, |
|
|
570 { 1, 0, 0, 0, }, 1, |
|
|
571 0, &DASRT_options::set_step_limit, |
|
|
572 0, &DASRT_options::step_limit, }, |
|
|
573 |
|
|
574 { 0, |
|
|
575 { 0, 0, 0, 0, }, |
|
|
576 { 0, 0, 0, 0, }, 0, |
|
|
577 0, 0, 0, 0, }, |
|
|
578 }; |
|
|
579 |
|
|
580 static void |
|
|
581 print_dasrt_option_list (ostream& os) |
|
|
582 { |
|
|
583 print_usage ("dasrt_options", 1); |
|
|
584 |
|
|
585 os << "\n" |
|
|
586 << "Options for dasrt include:\n\n" |
|
|
587 << " keyword value\n" |
|
|
588 << " ------- -----\n\n"; |
|
|
589 |
|
|
590 DASRT_OPTIONS *list = dasrt_option_table; |
|
|
591 |
|
|
592 const char *keyword; |
|
|
593 while ((keyword = list->keyword) != 0) |
|
|
594 { |
|
|
595 os.form (" %-40s ", keyword); |
|
|
596 |
|
|
597 if (list->d_get_fcn) |
|
|
598 { |
|
|
599 double val = (dasrt_opts.*list->d_get_fcn) (); |
|
|
600 if (val < 0.0) |
|
|
601 os << "computed automatically"; |
|
|
602 else |
|
|
603 os << val; |
|
|
604 } |
|
|
605 else |
|
|
606 { |
|
|
607 int val = (dasrt_opts.*list->i_get_fcn) (); |
|
|
608 if (val < 0) |
|
|
609 os << "computed automatically"; |
|
|
610 else |
|
|
611 os << val; |
|
|
612 } |
|
|
613 os << "\n"; |
|
|
614 list++; |
|
|
615 } |
|
|
616 |
|
|
617 os << "\n"; |
|
|
618 } |
|
|
619 |
|
|
620 static void |
|
|
621 set_dasrt_option (const string& keyword, double val) |
|
|
622 { |
|
|
623 DASRT_OPTIONS *list = dasrt_option_table; |
|
|
624 |
|
|
625 while (list->keyword != 0) |
|
|
626 { |
|
|
627 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
|
|
628 list->min_toks_to_match, MAX_TOKENS)) |
|
|
629 { |
|
|
630 if (list->d_set_fcn) |
|
|
631 (dasrt_opts.*list->d_set_fcn) (val); |
|
|
632 else |
|
|
633 { |
|
|
634 if (xisnan (val)) |
|
|
635 { |
|
|
636 error ("dasrt_options: %s: expecting integer, found NaN", |
|
|
637 keyword.c_str ()); |
|
|
638 } |
|
|
639 else |
|
|
640 (dasrt_opts.*list->i_set_fcn) (NINT (val)); |
|
|
641 } |
|
|
642 return; |
|
|
643 } |
|
|
644 list++; |
|
|
645 } |
|
|
646 |
|
|
647 warning ("dasrt_options: no match for `%s'", keyword.c_str ()); |
|
|
648 } |
|
|
649 |
|
|
650 static octave_value_list |
|
|
651 show_dasrt_option (const string& keyword) |
|
|
652 { |
|
|
653 octave_value retval; |
|
|
654 |
|
|
655 DASRT_OPTIONS *list = dasrt_option_table; |
|
|
656 |
|
|
657 while (list->keyword != 0) |
|
|
658 { |
|
|
659 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
|
|
660 list->min_toks_to_match, MAX_TOKENS)) |
|
|
661 { |
|
|
662 if (list->d_get_fcn) |
|
|
663 { |
|
|
664 double val = (dasrt_opts.*list->d_get_fcn) (); |
|
|
665 if (val < 0.0) |
|
|
666 retval = "computed automatically"; |
|
|
667 else |
|
|
668 retval = val; |
|
|
669 } |
|
|
670 else |
|
|
671 { |
|
|
672 int val = (dasrt_opts.*list->i_get_fcn) (); |
|
|
673 if (val < 0) |
|
|
674 retval = "computed automatically"; |
|
|
675 else |
|
|
676 retval = static_cast<double> (val); |
|
|
677 } |
|
|
678 |
|
|
679 return retval; |
|
|
680 } |
|
|
681 list++; |
|
|
682 } |
|
|
683 |
|
|
684 warning ("dasrt_options: no match for `%s'", keyword.c_str ()); |
|
|
685 |
|
|
686 return retval; |
|
|
687 } |
|
|
688 |
|
|
689 DEFUN_DLD (dasrt_options, args, , |
|
|
690 "dasrt_options (KEYWORD, VALUE)\n\ |
|
|
691 \n\ |
|
|
692 Set or show options for dasrt. Keywords may be abbreviated\n\ |
|
|
693 to the shortest match.") |
|
|
694 { |
|
|
695 octave_value_list retval; |
|
|
696 |
|
|
697 int nargin = args.length (); |
|
|
698 |
|
|
699 if (nargin == 0) |
|
|
700 { |
|
|
701 print_dasrt_option_list (octave_stdout); |
|
|
702 return retval; |
|
|
703 } |
|
|
704 else if (nargin == 1 || nargin == 2) |
|
|
705 { |
|
|
706 string keyword = args(0).string_value (); |
|
|
707 |
|
|
708 if (! error_state) |
|
|
709 { |
|
|
710 if (nargin == 1) |
|
|
711 return show_dasrt_option (keyword); |
|
|
712 else |
|
|
713 { |
|
|
714 double val = args(1).double_value (); |
|
|
715 |
|
|
716 if (! error_state) |
|
|
717 { |
|
|
718 set_dasrt_option (keyword, val); |
|
|
719 return retval; |
|
|
720 } |
|
|
721 } |
|
|
722 } |
|
|
723 } |
|
|
724 |
|
|
725 print_usage ("dasrt_options"); |
|
|
726 |
|
|
727 return retval; |
|
|
728 } |
|
|
729 |
|
|
730 /* |
|
|
731 ;;; Local Variables: *** |
|
|
732 ;;; mode: C++ *** |
|
|
733 ;;; End: *** |
|
|
734 */ |
