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ipopt_nlp_get_started.cpp.xml @upstream/2015.00.00.7 — raw · history · blame
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 | <?xml version='1.0'?> <html xmlns='http://www.w3.org/1999/xhtml' xmlns:math='http://www.w3.org/1998/Math/MathML' > <head> <title>Nonlinear Programming Using CppAD and Ipopt: Example and Test</title> <meta http-equiv='Content-Type' content='text/html' charset='utf-8'/> <meta name="description" id="description" content="Nonlinear Programming Using CppAD and Ipopt: Example and Test"/> <meta name="keywords" id="keywords" content=" example nonlinear programming ipopt Ad using cppad and ipopt: test purpose configuration requirement "/> <style type='text/css'> body { color : black } body { background-color : white } A:link { color : blue } A:visited { color : purple } A:active { color : purple } </style> <script type='text/javascript' language='JavaScript' src='_ipopt_nlp_get_started.cpp_xml.js'> </script> </head> <body> <table><tr> <td> <a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a> </td> <td><a href="cppad_ipopt_nlp.xml" target="_top">Prev</a> </td><td><a href="ipopt_nlp_ode.xml" target="_top">Next</a> </td><td> <select onchange='choose_across0(this)'> <option>Index-></option> <option>contents</option> <option>reference</option> <option>index</option> <option>search</option> <option>external</option> </select> </td> <td> <select onchange='choose_up0(this)'> <option>Up-></option> <option>CppAD</option> <option>Appendix</option> <option>deprecated</option> <option>cppad_ipopt_nlp</option> <option>ipopt_nlp_get_started.cpp</option> </select> </td> <td> <select onchange='choose_down3(this)'> <option>Appendix-></option> <option>Faq</option> <option>Theory</option> <option>glossary</option> <option>Bib</option> <option>Bugs</option> <option>WishList</option> <option>whats_new</option> <option>deprecated</option> <option>compare_c</option> <option>License</option> </select> </td> <td> <select onchange='choose_down2(this)'> <option>deprecated-></option> <option>include_deprecated</option> <option>FunDeprecated</option> <option>omp_max_thread</option> <option>TrackNewDel</option> <option>omp_alloc</option> <option>memory_leak</option> <option>epsilon</option> <option>test_vector</option> <option>cppad_ipopt_nlp</option> <option>old_atomic</option> </select> </td> <td> <select onchange='choose_down1(this)'> <option>cppad_ipopt_nlp-></option> <option>ipopt_nlp_get_started.cpp</option> <option>ipopt_nlp_ode</option> <option>ipopt_ode_speed.cpp</option> </select> </td> <td>ipopt_nlp_get_started.cpp</td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Purpose</option> <option>Configuration Requirement</option> </select> </td> </tr></table><br/> <center><b><big><big>Nonlinear Programming Using CppAD and Ipopt: Example and Test</big></big></b></center> <br/> <b><big><a name="Purpose" id="Purpose">Purpose</a></big></b> <br/> This example program demonstrates how to use the class cppad_ipopt_nlp to solve the example problem in the Ipopt documentation; i.e., the problem <math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mrow> <mtable rowalign="center" ><mtr><mtd columnalign="left" > <mrow><mstyle mathvariant='normal'><mi mathvariant='normal'>minimize</mi> <mspace width='.3em'/> </mstyle></mrow> </mtd><mtd columnalign="center" > <msub><mi mathvariant='italic'>x</mi> <mn>1</mn> </msub> <mo stretchy="false">*</mo> <msub><mi mathvariant='italic'>x</mi> <mn>4</mn> </msub> <mo stretchy="false">*</mo> <mo stretchy="false">(</mo> <msub><mi mathvariant='italic'>x</mi> <mn>1</mn> </msub> <mo stretchy="false">+</mo> <msub><mi mathvariant='italic'>x</mi> <mn>2</mn> </msub> <mo stretchy="false">+</mo> <msub><mi mathvariant='italic'>x</mi> <mn>3</mn> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">+</mo> <msub><mi mathvariant='italic'>x</mi> <mn>3</mn> </msub> </mtd></mtr><mtr><mtd columnalign="left" > <mrow><mstyle mathvariant='normal'><mi mathvariant='normal'>subject</mi> <mspace width='.3em'/> <mi mathvariant='normal'>to</mi> <mspace width='.3em'/> </mstyle></mrow> </mtd><mtd columnalign="center" > <msub><mi mathvariant='italic'>x</mi> <mn>1</mn> </msub> <mo stretchy="false">*</mo> <msub><mi mathvariant='italic'>x</mi> <mn>2</mn> </msub> <mo stretchy="false">*</mo> <msub><mi mathvariant='italic'>x</mi> <mn>3</mn> </msub> <mo stretchy="false">*</mo> <msub><mi mathvariant='italic'>x</mi> <mn>4</mn> </msub> <mo stretchy="false">≥</mo> <mn>25</mn> </mtd></mtr><mtr><mtd columnalign="left" > </mtd><mtd columnalign="center" > <msubsup><mi mathvariant='italic'>x</mi> <mn>1</mn> <mn>2</mn> </msubsup> <mo stretchy="false">+</mo> <msubsup><mi mathvariant='italic'>x</mi> <mn>2</mn> <mn>2</mn> </msubsup> <mo stretchy="false">+</mo> <msubsup><mi mathvariant='italic'>x</mi> <mn>3</mn> <mn>2</mn> </msubsup> <mo stretchy="false">+</mo> <msubsup><mi mathvariant='italic'>x</mi> <mn>4</mn> <mn>2</mn> </msubsup> <mo stretchy="false">=</mo> <mn>40</mn> </mtd></mtr><mtr><mtd columnalign="left" > </mtd><mtd columnalign="center" > <mn>1</mn> <mo stretchy="false">≤</mo> <msub><mi mathvariant='italic'>x</mi> <mn>1</mn> </msub> <mo stretchy="false">,</mo> <msub><mi mathvariant='italic'>x</mi> <mn>2</mn> </msub> <mo stretchy="false">,</mo> <msub><mi mathvariant='italic'>x</mi> <mn>3</mn> </msub> <mo stretchy="false">,</mo> <msub><mi mathvariant='italic'>x</mi> <mn>4</mn> </msub> <mo stretchy="false">≤</mo> <mn>5</mn> </mtd></mtr></mtable> </mrow></math> <br/> <b><big><a name="Configuration Requirement" id="Configuration Requirement">Configuration Requirement</a></big></b> <br/> This example will be compiled and tested provided that a value for <code><i><font color="black"><span style='white-space: nowrap'>ipopt_prefix</span></font></i></code> is specified on the <a href="cmake.xml" target="_top"><span style='white-space: nowrap'>cmake</span></a> command line. <code><font color="blue"> <pre style='display:inline'> # include <cppad_ipopt_nlp.hpp> namespace { using namespace cppad_ipopt; class FG_info : public cppad_ipopt_fg_info { private: bool retape_; public: // derived class part of constructor FG_info(bool retape_in) : retape_ (retape_in) { } // Evaluation of the objective f(x), and constraints g(x) // using an Algorithmic Differentiation (AD) class. ADVector eval_r(size_t k, const ADVector& x) { ADVector fg(3); // Fortran style indexing ADNumber x1 = x[0]; ADNumber x2 = x[1]; ADNumber x3 = x[2]; ADNumber x4 = x[3]; // f(x) fg[0] = x1 * x4 * (x1 + x2 + x3) + x3; // g_1 (x) fg[1] = x1 * x2 * x3 * x4; // g_2 (x) fg[2] = x1 * x1 + x2 * x2 + x3 * x3 + x4 * x4; return fg; } bool retape(size_t k) { return retape_; } }; } bool ipopt_get_started(void) { bool ok = true; size_t j; // number of independent variables (domain dimension for f and g) size_t n = 4; // number of constraints (range dimension for g) size_t m = 2; // initial value of the independent variables NumberVector x_i(n); x_i[0] = 1.0; x_i[1] = 5.0; x_i[2] = 5.0; x_i[3] = 1.0; // lower and upper limits for x NumberVector x_l(n); NumberVector x_u(n); for(j = 0; j < n; j++) { x_l[j] = 1.0; x_u[j] = 5.0; } // lower and upper limits for g NumberVector g_l(m); NumberVector g_u(m); g_l[0] = 25.0; g_u[0] = 1.0e19; g_l[1] = 40.0; g_u[1] = 40.0; size_t icase; for(icase = 0; icase <= 1; icase++) { // Should cppad_ipopt_nlp retape the operation sequence for // every new x. Can test both true and false cases because // the operation sequence does not depend on x (for this case). bool retape = icase != 0; // object in derived class FG_info fg_info(retape); // create the Ipopt interface cppad_ipopt_solution solution; Ipopt::SmartPtr<Ipopt::TNLP> cppad_nlp = new cppad_ipopt_nlp( n, m, x_i, x_l, x_u, g_l, g_u, &fg_info, &solution ); // Create an instance of the IpoptApplication using Ipopt::IpoptApplication; Ipopt::SmartPtr<IpoptApplication> app = new IpoptApplication(); // turn off any printing app->Options()->SetIntegerValue("print_level", 0); app->Options()->SetStringValue("sb", "yes"); // maximum number of iterations app->Options()->SetIntegerValue("max_iter", 10); // approximate accuracy in first order necessary conditions; // see Mathematical Programming, Volume 106, Number 1, // Pages 25-57, Equation (6) app->Options()->SetNumericValue("tol", 1e-9); // derivative testing app->Options()-> SetStringValue("derivative_test", "second-order"); app->Options()-> SetNumericValue( "point_perturbation_radius", 0. ); // Initialize the IpoptApplication and process the options Ipopt::ApplicationReturnStatus status = app->Initialize(); ok &= status == Ipopt::Solve_Succeeded; // Run the IpoptApplication status = app->OptimizeTNLP(cppad_nlp); ok &= status == Ipopt::Solve_Succeeded; /* Check some of the solution values */ ok &= solution.status == cppad_ipopt_solution::success; // double check_x[] = { 1.000000, 4.743000, 3.82115, 1.379408 }; double check_z_l[] = { 1.087871, 0., 0., 0. }; double check_z_u[] = { 0., 0., 0., 0. }; double rel_tol = 1e-6; // relative tolerance double abs_tol = 1e-6; // absolute tolerance for(j = 0; j < n; j++) { ok &= CppAD::<a href="nearequal.xml" target="_top">NearEqual</a>( check_x[j], solution.x[j], rel_tol, abs_tol ); ok &= CppAD::<a href="nearequal.xml" target="_top">NearEqual</a>( check_z_l[j], solution.z_l[j], rel_tol, abs_tol ); ok &= CppAD::<a href="nearequal.xml" target="_top">NearEqual</a>( check_z_u[j], solution.z_u[j], rel_tol, abs_tol ); } } return ok; } </pre> </font></code> <hr/>Input File: cppad_ipopt/example/get_started.cpp </body> </html> |