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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 3 of the License, or (at your |
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10 option) any later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, see |
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19 <http://www.gnu.org/licenses/>. |
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20 |
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21 */ |
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22 |
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238
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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 <cfloat> |
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28 #include <cmath> |
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29 |
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30 #include <sstream> |
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31 |
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1842
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32 #include "DASSL.h" |
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1847
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33 #include "f77-fcn.h" |
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227
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34 #include "lo-error.h" |
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4180
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35 #include "quit.h" |
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36 |
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37 typedef octave_idx_type (*dassl_fcn_ptr) (const double&, const double*, const double*, |
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38 double*, octave_idx_type&, double*, octave_idx_type*); |
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39 |
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40 typedef octave_idx_type (*dassl_jac_ptr) (const double&, const double*, const double*, |
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41 double*, const double&, double*, octave_idx_type*); |
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42 |
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43 extern "C" |
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44 { |
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45 F77_RET_T |
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46 F77_FUNC (ddassl, DDASSL) (dassl_fcn_ptr, const octave_idx_type&, double&, |
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47 double*, double*, double&, const octave_idx_type*, |
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48 const double*, const double*, octave_idx_type&, |
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49 double*, const octave_idx_type&, octave_idx_type*, const octave_idx_type&, |
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50 const double*, const octave_idx_type*, |
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51 dassl_jac_ptr); |
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52 } |
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53 |
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532
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54 static DAEFunc::DAERHSFunc user_fun; |
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55 static DAEFunc::DAEJacFunc user_jac; |
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56 |
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57 static octave_idx_type nn; |
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58 |
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59 static octave_idx_type |
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60 ddassl_f (const double& time, const double *state, const double *deriv, |
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61 double *delta, octave_idx_type& ires, double *, octave_idx_type *) |
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62 { |
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63 BEGIN_INTERRUPT_WITH_EXCEPTIONS; |
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64 |
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65 // FIXME -- would be nice to avoid copying the data. |
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66 |
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67 ColumnVector tmp_deriv (nn); |
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68 ColumnVector tmp_state (nn); |
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69 ColumnVector tmp_delta (nn); |
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70 |
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71 for (octave_idx_type i = 0; i < nn; i++) |
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72 { |
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73 tmp_deriv.elem (i) = deriv [i]; |
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74 tmp_state.elem (i) = state [i]; |
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75 } |
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76 |
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77 tmp_delta = user_fun (tmp_state, tmp_deriv, time, ires); |
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78 |
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79 if (ires >= 0) |
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80 { |
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81 if (tmp_delta.length () == 0) |
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82 ires = -2; |
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83 else |
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84 { |
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85 for (octave_idx_type i = 0; i < nn; i++) |
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86 delta [i] = tmp_delta.elem (i); |
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87 } |
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88 } |
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89 |
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90 END_INTERRUPT_WITH_EXCEPTIONS; |
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91 |
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92 return 0; |
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93 } |
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94 |
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95 static octave_idx_type |
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96 ddassl_j (const double& time, const double *state, const double *deriv, |
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97 double *pd, const double& cj, double *, octave_idx_type *) |
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98 { |
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99 BEGIN_INTERRUPT_WITH_EXCEPTIONS; |
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100 |
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101 // FIXME -- would be nice to avoid copying the data. |
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102 |
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103 ColumnVector tmp_state (nn); |
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104 ColumnVector tmp_deriv (nn); |
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105 |
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106 for (octave_idx_type i = 0; i < nn; i++) |
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107 { |
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108 tmp_deriv.elem (i) = deriv [i]; |
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109 tmp_state.elem (i) = state [i]; |
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110 } |
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111 |
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112 Matrix tmp_pd = user_jac (tmp_state, tmp_deriv, time, cj); |
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113 |
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114 for (octave_idx_type j = 0; j < nn; j++) |
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115 for (octave_idx_type i = 0; i < nn; i++) |
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116 pd [nn * j + i] = tmp_pd.elem (i, j); |
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117 |
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118 END_INTERRUPT_WITH_EXCEPTIONS; |
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119 |
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120 return 0; |
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121 } |
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122 |
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123 ColumnVector |
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124 DASSL::do_integrate (double tout) |
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125 { |
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126 ColumnVector retval; |
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127 |
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128 if (! initialized || restart || DAEFunc::reset|| DASSL_options::reset) |
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129 { |
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130 integration_error = false; |
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131 |
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132 initialized = true; |
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133 |
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134 info.resize (15); |
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135 |
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136 for (octave_idx_type i = 0; i < 15; i++) |
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137 info(i) = 0; |
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138 |
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139 pinfo = info.fortran_vec (); |
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140 |
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141 octave_idx_type n = size (); |
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142 |
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143 liw = 21 + n; |
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144 lrw = 40 + 9*n + n*n; |
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145 |
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146 nn = n; |
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147 |
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148 iwork.resize (liw); |
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149 rwork.resize (lrw); |
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150 |
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151 info(0) = 0; |
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152 |
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153 if (stop_time_set) |
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154 { |
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155 rwork(0) = stop_time; |
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156 info(3) = 1; |
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157 } |
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158 else |
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159 info(3) = 0; |
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160 |
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161 px = x.fortran_vec (); |
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162 pxdot = xdot.fortran_vec (); |
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163 |
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164 piwork = iwork.fortran_vec (); |
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165 prwork = rwork.fortran_vec (); |
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166 |
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167 restart = false; |
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168 |
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169 // DAEFunc |
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170 |
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171 user_fun = DAEFunc::function (); |
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172 user_jac = DAEFunc::jacobian_function (); |
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173 |
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174 if (user_fun) |
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175 { |
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176 octave_idx_type ires = 0; |
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177 |
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178 ColumnVector res = (*user_fun) (x, xdot, t, ires); |
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179 |
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180 if (res.length () != x.length ()) |
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181 { |
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182 (*current_liboctave_error_handler) |
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183 ("dassl: inconsistent sizes for state and residual vectors"); |
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184 |
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185 integration_error = true; |
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186 return retval; |
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187 } |
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188 } |
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189 else |
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190 { |
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191 (*current_liboctave_error_handler) |
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192 ("dassl: no user supplied RHS subroutine!"); |
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193 |
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194 integration_error = true; |
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195 return retval; |
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196 } |
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197 |
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198 info(4) = user_jac ? 1 : 0; |
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199 |
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200 DAEFunc::reset = false; |
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201 |
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202 // DASSL_options |
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203 |
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204 double hmax = maximum_step_size (); |
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205 if (hmax >= 0.0) |
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206 { |
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207 rwork(1) = hmax; |
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208 info(6) = 1; |
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209 } |
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210 else |
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211 info(6) = 0; |
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212 |
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213 double h0 = initial_step_size (); |
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214 if (h0 >= 0.0) |
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215 { |
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216 rwork(2) = h0; |
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217 info(7) = 1; |
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218 } |
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219 else |
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220 info(7) = 0; |
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221 |
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222 if (step_limit () >= 0) |
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223 { |
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224 info(11) = 1; |
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225 iwork(20) = step_limit (); |
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226 } |
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227 else |
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228 info(11) = 0; |
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229 |
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230 octave_idx_type maxord = maximum_order (); |
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231 if (maxord >= 0) |
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232 { |
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233 if (maxord > 0 && maxord < 6) |
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234 { |
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235 info(8) = 1; |
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236 iwork(2) = maxord; |
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237 } |
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238 else |
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239 { |
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240 (*current_liboctave_error_handler) |
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241 ("dassl: invalid value for maximum order"); |
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242 integration_error = true; |
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243 return retval; |
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244 } |
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245 } |
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246 |
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247 octave_idx_type enc = enforce_nonnegativity_constraints (); |
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248 info(9) = enc ? 1 : 0; |
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249 |
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250 octave_idx_type ccic = compute_consistent_initial_condition (); |
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251 info(10) = ccic ? 1 : 0; |
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252 |
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253 abs_tol = absolute_tolerance (); |
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254 rel_tol = relative_tolerance (); |
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255 |
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256 octave_idx_type abs_tol_len = abs_tol.length (); |
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257 octave_idx_type rel_tol_len = rel_tol.length (); |
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258 |
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259 if (abs_tol_len == 1 && rel_tol_len == 1) |
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260 { |
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261 info(1) = 0; |
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262 } |
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263 else if (abs_tol_len == n && rel_tol_len == n) |
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264 { |
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265 info(1) = 1; |
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266 } |
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267 else |
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268 { |
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269 (*current_liboctave_error_handler) |
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270 ("dassl: inconsistent sizes for tolerance arrays"); |
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271 |
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272 integration_error = true; |
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273 return retval; |
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274 } |
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275 |
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276 pabs_tol = abs_tol.fortran_vec (); |
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277 prel_tol = rel_tol.fortran_vec (); |
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278 |
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279 DASSL_options::reset = false; |
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289
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280 } |
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281 |
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282 static double *dummy = 0; |
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283 static octave_idx_type *idummy = 0; |
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284 |
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285 F77_XFCN (ddassl, DDASSL, (ddassl_f, nn, t, px, pxdot, tout, pinfo, |
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286 prel_tol, pabs_tol, istate, prwork, lrw, |
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287 piwork, liw, dummy, idummy, ddassl_j)); |
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288 |
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289 if (f77_exception_encountered) |
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290 { |
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291 integration_error = true; |
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292 (*current_liboctave_error_handler) ("unrecoverable error in dassl"); |
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293 } |
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294 else |
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295 { |
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296 switch (istate) |
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1945
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297 { |
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298 case 1: // A step was successfully taken in intermediate-output |
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299 // mode. The code has not yet reached TOUT. |
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300 case 2: // The integration to TSTOP was successfully completed |
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301 // (T=TSTOP) by stepping exactly to TSTOP. |
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302 case 3: // The integration to TOUT was successfully completed |
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303 // (T=TOUT) by stepping past TOUT. Y(*) is obtained by |
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304 // interpolation. YPRIME(*) is obtained by interpolation. |
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305 retval = x; |
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306 t = tout; |
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307 break; |
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308 |
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309 case -1: // A large amount of work has been expended. (~500 steps). |
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310 case -2: // The error tolerances are too stringent. |
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311 case -3: // The local error test cannot be satisfied because you |
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312 // specified a zero component in ATOL and the |
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313 // corresponding computed solution component is zero. |
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314 // Thus, a pure relative error test is impossible for |
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315 // this component. |
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316 case -6: // DDASSL had repeated error test failures on the last |
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317 // attempted step. |
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318 case -7: // The corrector could not converge. |
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319 case -8: // The matrix of partial derivatives is singular. |
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320 case -9: // The corrector could not converge. There were repeated |
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321 // error test failures in this step. |
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322 case -10: // The corrector could not converge because IRES was |
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323 // equal to minus one. |
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324 case -11: // IRES equal to -2 was encountered and control is being |
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325 // returned to the calling program. |
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326 case -12: // DDASSL failed to compute the initial YPRIME. |
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327 case -33: // The code has encountered trouble from which it cannot |
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328 // recover. A message is printed explaining the trouble |
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329 // and control is returned to the calling program. For |
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330 // example, this occurs when invalid input is detected. |
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331 integration_error = true; |
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332 break; |
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333 |
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334 default: |
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335 integration_error = true; |
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336 (*current_liboctave_error_handler) |
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337 ("unrecognized value of istate (= %d) returned from ddassl", |
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338 istate); |
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339 break; |
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340 } |
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341 } |
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342 |
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343 return retval; |
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344 } |
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345 |
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346 Matrix |
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347 DASSL::do_integrate (const ColumnVector& tout) |
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348 { |
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349 Matrix dummy; |
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350 return integrate (tout, dummy); |
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351 } |
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352 |
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353 Matrix |
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354 DASSL::integrate (const ColumnVector& tout, Matrix& xdot_out) |
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355 { |
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356 Matrix retval; |
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357 |
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358 octave_idx_type n_out = tout.capacity (); |
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359 octave_idx_type n = size (); |
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360 |
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361 if (n_out > 0 && n > 0) |
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362 { |
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363 retval.resize (n_out, n); |
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364 xdot_out.resize (n_out, n); |
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365 |
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366 for (octave_idx_type i = 0; i < n; i++) |
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3
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367 { |
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368 retval.elem (0, i) = x.elem (i); |
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369 xdot_out.elem (0, i) = xdot.elem (i); |
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370 } |
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371 |
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372 for (octave_idx_type j = 1; j < n_out; j++) |
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373 { |
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374 ColumnVector x_next = do_integrate (tout.elem (j)); |
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256
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375 |
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376 if (integration_error) |
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377 return retval; |
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378 |
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379 for (octave_idx_type i = 0; i < n; i++) |
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3
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380 { |
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381 retval.elem (j, i) = x_next.elem (i); |
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382 xdot_out.elem (j, i) = xdot.elem (i); |
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383 } |
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384 } |
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385 } |
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386 |
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387 return retval; |
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388 } |
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389 |
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390 Matrix |
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3519
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391 DASSL::do_integrate (const ColumnVector& tout, const ColumnVector& tcrit) |
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392 { |
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393 Matrix dummy; |
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394 return integrate (tout, dummy, tcrit); |
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395 } |
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396 |
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397 Matrix |
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1842
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398 DASSL::integrate (const ColumnVector& tout, Matrix& xdot_out, |
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399 const ColumnVector& tcrit) |
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3
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400 { |
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401 Matrix retval; |
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4049
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402 |
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5275
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403 octave_idx_type n_out = tout.capacity (); |
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404 octave_idx_type n = size (); |
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3
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405 |
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406 if (n_out > 0 && n > 0) |
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407 { |
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408 retval.resize (n_out, n); |
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409 xdot_out.resize (n_out, n); |
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410 |
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5275
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411 for (octave_idx_type i = 0; i < n; i++) |
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3
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412 { |
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413 retval.elem (0, i) = x.elem (i); |
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414 xdot_out.elem (0, i) = xdot.elem (i); |
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415 } |
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416 |
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5275
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417 octave_idx_type n_crit = tcrit.capacity (); |
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3
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418 |
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419 if (n_crit > 0) |
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420 { |
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5275
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421 octave_idx_type i_crit = 0; |
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422 octave_idx_type i_out = 1; |
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3
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423 double next_crit = tcrit.elem (0); |
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424 double next_out; |
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425 while (i_out < n_out) |
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426 { |
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3487
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427 bool do_restart = false; |
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3
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428 |
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429 next_out = tout.elem (i_out); |
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430 if (i_crit < n_crit) |
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431 next_crit = tcrit.elem (i_crit); |
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432 |
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3487
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433 bool save_output; |
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3
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434 double t_out; |
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435 |
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436 if (next_crit == next_out) |
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437 { |
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438 set_stop_time (next_crit); |
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439 t_out = next_out; |
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3487
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440 save_output = true; |
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3
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441 i_out++; |
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442 i_crit++; |
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3487
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443 do_restart = true; |
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3
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444 } |
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445 else if (next_crit < next_out) |
|
|
446 { |
|
|
447 if (i_crit < n_crit) |
|
|
448 { |
|
|
449 set_stop_time (next_crit); |
|
|
450 t_out = next_crit; |
|
3487
|
451 save_output = false; |
|
3
|
452 i_crit++; |
|
3487
|
453 do_restart = true; |
|
3
|
454 } |
|
|
455 else |
|
|
456 { |
|
|
457 clear_stop_time (); |
|
|
458 t_out = next_out; |
|
3487
|
459 save_output = true; |
|
3
|
460 i_out++; |
|
|
461 } |
|
|
462 } |
|
|
463 else |
|
|
464 { |
|
|
465 set_stop_time (next_crit); |
|
|
466 t_out = next_out; |
|
3487
|
467 save_output = true; |
|
3
|
468 i_out++; |
|
|
469 } |
|
|
470 |
|
1842
|
471 ColumnVector x_next = do_integrate (t_out); |
|
3
|
472 |
|
256
|
473 if (integration_error) |
|
|
474 return retval; |
|
|
475 |
|
3
|
476 if (save_output) |
|
|
477 { |
|
5275
|
478 for (octave_idx_type i = 0; i < n; i++) |
|
3
|
479 { |
|
|
480 retval.elem (i_out-1, i) = x_next.elem (i); |
|
|
481 xdot_out.elem (i_out-1, i) = xdot.elem (i); |
|
|
482 } |
|
|
483 } |
|
|
484 |
|
|
485 if (do_restart) |
|
|
486 force_restart (); |
|
|
487 } |
|
|
488 } |
|
|
489 else |
|
256
|
490 { |
|
|
491 retval = integrate (tout, xdot_out); |
|
|
492 |
|
|
493 if (integration_error) |
|
|
494 return retval; |
|
|
495 } |
|
3
|
496 } |
|
|
497 |
|
|
498 return retval; |
|
|
499 } |
|
289
|
500 |
|
3995
|
501 std::string |
|
|
502 DASSL::error_message (void) const |
|
|
503 { |
|
|
504 std::string retval; |
|
|
505 |
|
5765
|
506 std::ostringstream buf; |
|
|
507 buf << t; |
|
|
508 std::string t_curr = buf.str (); |
|
4043
|
509 |
|
3997
|
510 switch (istate) |
|
3995
|
511 { |
|
3996
|
512 case 1: |
|
|
513 retval = "a step was successfully taken in intermediate-output mode."; |
|
|
514 break; |
|
|
515 |
|
|
516 case 2: |
|
|
517 retval = "integration completed by stepping exactly to TOUT"; |
|
|
518 break; |
|
|
519 |
|
|
520 case 3: |
|
|
521 retval = "integration to tout completed by stepping past TOUT"; |
|
|
522 break; |
|
|
523 |
|
|
524 case -1: |
|
4043
|
525 retval = std::string ("a large amount of work has been expended (t =") |
|
|
526 + t_curr + ")"; |
|
3996
|
527 break; |
|
|
528 |
|
|
529 case -2: |
|
|
530 retval = "the error tolerances are too stringent"; |
|
|
531 break; |
|
|
532 |
|
|
533 case -3: |
|
4043
|
534 retval = std::string ("error weight became zero during problem. (t = ") |
|
|
535 + t_curr |
|
|
536 + "; solution component i vanished, and atol or atol(i) == 0)"; |
|
3996
|
537 break; |
|
|
538 |
|
|
539 case -6: |
|
4043
|
540 retval = std::string ("repeated error test failures on the last attempted step (t = ") |
|
|
541 + t_curr + ")"; |
|
3996
|
542 break; |
|
|
543 |
|
|
544 case -7: |
|
4043
|
545 retval = std::string ("the corrector could not converge (t = ") |
|
|
546 + t_curr + ")"; |
|
3996
|
547 break; |
|
|
548 |
|
|
549 case -8: |
|
4043
|
550 retval = std::string ("the matrix of partial derivatives is singular (t = ") |
|
|
551 + t_curr + ")"; |
|
3996
|
552 break; |
|
|
553 |
|
|
554 case -9: |
|
4043
|
555 retval = std::string ("the corrector could not converge (t = ") |
|
|
556 + t_curr + "; repeated test failures)"; |
|
3996
|
557 break; |
|
|
558 |
|
|
559 case -10: |
|
4043
|
560 retval = std::string ("corrector could not converge because IRES was -1 (t = ") |
|
|
561 + t_curr + ")"; |
|
3996
|
562 break; |
|
|
563 |
|
|
564 case -11: |
|
4043
|
565 retval = std::string ("return requested in user-supplied function (t = ") |
|
|
566 + t_curr + ")"; |
|
3996
|
567 break; |
|
|
568 |
|
|
569 case -12: |
|
|
570 retval = "failed to compute consistent initial conditions"; |
|
|
571 break; |
|
|
572 |
|
|
573 case -33: |
|
|
574 retval = "unrecoverable error (see printed message)"; |
|
|
575 break; |
|
|
576 |
|
3995
|
577 default: |
|
|
578 retval = "unknown error state"; |
|
|
579 break; |
|
|
580 } |
|
|
581 |
|
|
582 return retval; |
|
|
583 } |
|
|
584 |
|
289
|
585 /* |
|
|
586 ;;; Local Variables: *** |
|
|
587 ;;; mode: C++ *** |
|
|
588 ;;; End: *** |
|
|
589 */ |
