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optimize.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 | <?xml version='1.0'?> <html xmlns='http://www.w3.org/1999/xhtml' xmlns:math='http://www.w3.org/1998/Math/MathML' > <head> <title>Optimize an ADFun Object Tape</title> <meta http-equiv='Content-Type' content='text/html' charset='utf-8'/> <meta name="description" id="description" content="Optimize an ADFun Object Tape"/> <meta name="keywords" id="keywords" content=" optimize an adfun object tape sequence operations speed memory syntax purpose f improvements testing efficiency comparison operators atomic functions rev_sparse_jac nan checking optimization Ndebug example "/> <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='_optimize_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="fun_check.cpp.xml" target="_top">Prev</a> </td><td><a href="optimize.cpp.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>ADFun</option> <option>optimize</option> </select> </td> <td> <select onchange='choose_down2(this)'> <option>CppAD-></option> <option>Install</option> <option>Introduction</option> <option>AD</option> <option>ADFun</option> <option>preprocessor</option> <option>multi_thread</option> <option>library</option> <option>ipopt_solve</option> <option>Example</option> <option>speed</option> <option>Appendix</option> </select> </td> <td> <select onchange='choose_down1(this)'> <option>ADFun-></option> <option>Independent</option> <option>FunConstruct</option> <option>Dependent</option> <option>abort_recording</option> <option>seq_property</option> <option>FunEval</option> <option>Drivers</option> <option>FunCheck</option> <option>optimize</option> <option>check_for_nan</option> </select> </td> <td> <select onchange='choose_down0(this)'> <option>optimize-></option> <option>optimize.cpp</option> </select> </td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Syntax</option> <option>Purpose</option> <option>f</option> <option>Improvements</option> <option>---..Testing</option> <option>Efficiency</option> <option>Comparison Operators</option> <option>Atomic Functions</option> <option>---..rev_sparse_jac</option> <option>---..nan</option> <option>Checking Optimization</option> <option>Example</option> </select> </td> </tr></table><br/> <center><b><big><big>Optimize an ADFun Object Tape</big></big></b></center> <br/> <b><big><a name="Syntax" id="Syntax">Syntax</a></big></b> <br/> <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.optimize()</span></font></code> <br/> <br/> <b><big><a name="Purpose" id="Purpose">Purpose</a></big></b> <br/> The operation sequence corresponding to an <a href="adfun.xml" target="_top"><span style='white-space: nowrap'>ADFun</span></a> object can be very large and involve many operations; see the size functions in <a href="seq_property.xml" target="_top"><span style='white-space: nowrap'>seq_property</span></a> . The <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.optimize</span></font></code> procedure reduces the number of operations, and thereby the time and the memory, required to compute function and derivative values. <br/> <br/> <b><big><a name="f" id="f">f</a></big></b> <br/> The object <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i></code> has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      ADFun<</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>> </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> <br/> <b><big><a name="Improvements" id="Improvements">Improvements</a></big></b> <br/> You can see the reduction in number of variables in the operation sequence by calling the function <a href="seq_property.xml#size_var" target="_top"><span style='white-space: nowrap'>f.size_var()</span></a> before and after the optimization procedure. Given that the optimization procedure takes time, it may be faster to skip this optimize procedure and just compute derivatives using the original operation sequence. <br/> <br/> <b><a name="Improvements.Testing" id="Improvements.Testing">Testing</a></b> <br/> You can run the CppAD <a href="speed_main.xml" target="_top"><span style='white-space: nowrap'>speed</span></a> tests and see the corresponding changes in number of variables and execution time; see <a href="cmake_check.xml" target="_top"><span style='white-space: nowrap'>cmake_check</span></a> . <br/> <br/> <b><big><a name="Efficiency" id="Efficiency">Efficiency</a></big></b> <br/> The <code><font color="blue">optimize</font></code> member function may greatly reduce the number of variables in the operation sequence; see <a href="seq_property.xml#size_var" target="_top"><span style='white-space: nowrap'>size_var</span></a> . If a <a href="forward_zero.xml" target="_top"><span style='white-space: nowrap'>zero order forward</span></a> calculation is done during the construction of <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i></code> , it will require more memory and time than required after the optimization procedure. In addition, it will need to be redone. For this reason, it is more efficient to use <code><font color="blue"><span style='white-space: nowrap'><br/>      ADFun<</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>> </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>;<br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.Dependent(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'>);<br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.optimize();<br/> </span></font></code> instead of <code><font color="blue"><span style='white-space: nowrap'><br/>      ADFun<</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>> </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.optimize();<br/> </span></font></code> See the discussion about <a href="funconstruct.xml#Sequence Constructor" target="_top"><span style='white-space: nowrap'>sequence constructors</span></a> . <br/> <br/> <b><big><a name="Comparison Operators" id="Comparison Operators">Comparison Operators</a></big></b> <br/> Any comparison operators that are in the tape are removed by this operation. Hence the return value of <a href="comparechange.xml" target="_top"><span style='white-space: nowrap'>CompareChange</span></a> will always be zero for an optimized tape (even if <code><font color="blue">NDEBUG</font></code> is not defined). <br/> <br/> <b><big><a name="Atomic Functions" id="Atomic Functions">Atomic Functions</a></big></b> <br/> There are some subtitle issue with optimized <a href="atomic.xml" target="_top"><span style='white-space: nowrap'>atomic</span></a> functions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>v</mi> <mo stretchy="false">=</mo> <mi mathvariant='italic'>g</mi> <mo stretchy="false">(</mo> <mi mathvariant='italic'>u</mi> <mo stretchy="false">)</mo> </mrow></math> : <br/> <br/> <b><a name="Atomic Functions.rev_sparse_jac" id="Atomic Functions.rev_sparse_jac">rev_sparse_jac</a></b> <br/> The <a href="atomic_rev_sparse_jac.xml" target="_top"><span style='white-space: nowrap'>atomic_rev_sparse_jac</span></a> function is be used to determine which components of <code><i><font color="black"><span style='white-space: nowrap'>u</span></font></i></code> affect the dependent variables of <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i></code> . The current setting of the <a href="atomic_option.xml#atomic_sparsity" target="_top"><span style='white-space: nowrap'>atomic_sparsity</span></a> pattern for each atomic function is used to determine if the <code><font color="blue">bool</font></code> or <code><font color="blue">std::set<size_t></font></code> version of <a href="atomic_rev_sparse_jac.xml" target="_top"><span style='white-space: nowrap'>atomic_rev_sparse_jac</span></a> is used. <br/> <br/> <b><a name="Atomic Functions.nan" id="Atomic Functions.nan">nan</a></b> <br/> If <code><i><font color="black"><span style='white-space: nowrap'>u</span></font></i><font color="blue"><span style='white-space: nowrap'>[</span></font><i><font color="black"><span style='white-space: nowrap'>i</span></font></i><font color="blue"><span style='white-space: nowrap'>]</span></font></code> does not affect the value of the dependent variables for <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i></code> , the value of <code><i><font color="black"><span style='white-space: nowrap'>u</span></font></i><font color="blue"><span style='white-space: nowrap'>[</span></font><i><font color="black"><span style='white-space: nowrap'>i</span></font></i><font color="blue"><span style='white-space: nowrap'>]</span></font></code> is set to <a href="nan.xml" target="_top"><span style='white-space: nowrap'>nan</span></a> . <br/> <br/> <b><big><a name="Checking Optimization" id="Checking Optimization">Checking Optimization</a></big></b> <br/> If <a href="faq.xml#Speed.NDEBUG" target="_top"><span style='white-space: nowrap'>NDEBUG</span></a> is not defined, and <a href="size_order.xml" target="_top"><span style='white-space: nowrap'>f.size_order()</span></a> is greater than zero, a <a href="forward_zero.xml" target="_top"><span style='white-space: nowrap'>forward_zero</span></a> calculation is done using the optimized version of <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i></code> and the results are checked to see that they are the same as before. If they are not the same, the <a href="errorhandler.xml" target="_top"><span style='white-space: nowrap'>ErrorHandler</span></a> is called with a known error message related to <code><i><font color="black"><span style='white-space: nowrap'>f</span></font></i><font color="blue"><span style='white-space: nowrap'>.optimize()</span></font></code> . <br/> <br/> <b><big><a name="Example" id="Example">Example</a></big></b> <br/> The file <a href="optimize.cpp.xml" target="_top"><span style='white-space: nowrap'>optimize.cpp</span></a> contains an example and test of this operation. It returns true if it succeeds and false otherwise. <hr/>Input File: cppad/local/optimize.hpp </body> </html> |