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checkpoint.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 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<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='_checkpoint_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="atomic.xml" target="_top">Prev</a> </td><td><a href="checkpoint.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>AD</option> <option>ADValued</option> <option>atomic</option> <option>checkpoint</option> </select> </td> <td> <select onchange='choose_down3(this)'> <option>AD-></option> <option>ad_ctor</option> <option>ad_assign</option> <option>Convert</option> <option>ADValued</option> <option>BoolValued</option> <option>VecAD</option> <option>base_require</option> </select> </td> <td> <select onchange='choose_down2(this)'> <option>ADValued-></option> <option>Arithmetic</option> <option>std_math_ad</option> <option>MathOther</option> <option>CondExp</option> <option>Discrete</option> <option>atomic</option> </select> </td> <td> <select onchange='choose_down1(this)'> <option>atomic-></option> <option>checkpoint</option> <option>atomic_base</option> </select> </td> <td> <select onchange='choose_down0(this)'> <option>checkpoint-></option> <option>checkpoint.cpp</option> </select> </td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Syntax</option> <option>Purpose</option> <option>Method</option> <option>constructor</option> <option>Base</option> <option>ADVector</option> <option>name</option> <option>ax</option> <option>ay</option> <option>option</option> <option>algo</option> <option>afun</option> <option>clear</option> <option>---..Restriction</option> <option>Example</option> </select> </td> </tr></table><br/> <center><b><big><big>Checkpointing Functions</big></big></b></center> <br/> <b><big><a name="Syntax" id="Syntax">Syntax</a></big></b> <br/> <code><font color="blue"><span style='white-space: nowrap'>checkpoint<</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'>afun</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>name</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font><i><font color="black"><span style='white-space: nowrap'>afun</span></font></i><font color="blue"><span style='white-space: nowrap'>.option(</span></font><i><font color="black"><span style='white-space: nowrap'>option_value</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font><i><font color="black"><span style='white-space: nowrap'>afun</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> checkpoint<</span></font><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i><font color="blue"><span style='white-space: nowrap'>>::clear()</span></font></code> <br/> <br/> <b><big><a name="Purpose" id="Purpose">Purpose</a></big></b> <br/> You can reduce the size of the tape and memory required for AD by checkpointing functions of the form <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>y</mi> <mo stretchy="false">=</mo> <mi mathvariant='italic'>f</mi> <mo stretchy="false">(</mo> <mi mathvariant='italic'>x</mi> <mo stretchy="false">)</mo> </mrow></math> where <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>f</mi> <mo stretchy="false">:</mo> <msup><mi mathvariant='italic'>B</mi> <mi mathvariant='italic'>n</mi> </msup> <mo stretchy="false">→</mo> <msup><mi mathvariant='italic'>B</mi> <mi mathvariant='italic'>m</mi> </msup> </mrow></math> . <br/> <br/> <b><big><a name="Method" id="Method">Method</a></big></b> <br/> The <code><font color="blue">checkpoint</font></code> class is derived from <code><font color="blue">atomic_base</font></code> and makes this easy. It implements all the <code><font color="blue">atomic_base</font></code> <a href="atomic_base.xml#Virtual Functions" target="_top"><span style='white-space: nowrap'>virtual functions</span></a> and hence its source code <code><font color="blue">cppad/local/checkpoint.hpp</font></code> provides an example implementation of <a href="atomic_base.xml" target="_top"><span style='white-space: nowrap'>atomic_base</span></a> . The difference is that <code><font color="blue">checkpoint.hpp</font></code> uses AD instead of user provided derivatives. <br/> <br/> <b><big><a name="constructor" id="constructor">constructor</a></big></b> <br/> The constructor <code><font color="blue"><span style='white-space: nowrap'><br/>      checkpoint<</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'>afun</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>name</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font></code> cannot be called in <a href="ta_in_parallel.xml" target="_top"><span style='white-space: nowrap'>parallel</span></a> mode. In addition, you cannot currently be recording <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> operations when the constructor is called. This class is implemented as a derived class of <a href="atomic_ctor.xml#atomic_base" target="_top"><span style='white-space: nowrap'>atomic_base</span></a> and hence some of its error message will refer to <code><font color="blue">atomic_base</font></code>. <br/> <br/> <b><big><a name="Base" id="Base">Base</a></big></b> <br/> The type <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> specifies the base type for AD operations. <br/> <br/> <b><big><a name="ADVector" id="ADVector">ADVector</a></big></b> <br/> The type <code><i><font color="black"><span style='white-space: nowrap'>ADVector</span></font></i></code> must be a <a href="simplevector.xml" target="_top"><span style='white-space: nowrap'>simple vector class</span></a> with elements of type <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> . <br/> <br/> <b><big><a name="name" id="name">name</a></big></b> <br/> This <code><i><font color="black"><span style='white-space: nowrap'>checkpoint</span></font></i></code> constructor argument has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      const char* </span></font><i><font color="black"><span style='white-space: nowrap'>name</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> It is the name used for error reporting. The suggested value for <code><i><font color="black"><span style='white-space: nowrap'>name</span></font></i></code> is <code><i><font color="black"><span style='white-space: nowrap'>afun</span></font></i></code> ; i.e., the same name as used for the function. <br/> <br/> <b><big><a name="ax" id="ax">ax</a></big></b> <br/> This argument has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      const </span></font><i><font color="black"><span style='white-space: nowrap'>ADVector</span></font></i><font color="blue"><span style='white-space: nowrap'>& </span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> and size must be equal to <code><i><font color="black"><span style='white-space: nowrap'>n</span></font></i></code> . It specifies vector <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>x</mi> <mo stretchy="false">∈</mo> <msup><mi mathvariant='italic'>B</mi> <mi mathvariant='italic'>n</mi> </msup> </mrow></math> at which an <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> version of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>y</mi> <mo stretchy="false">=</mo> <mi mathvariant='italic'>f</mi> <mo stretchy="false">(</mo> <mi mathvariant='italic'>x</mi> <mo stretchy="false">)</mo> </mrow></math> is to be evaluated. <br/> <br/> <b><big><a name="ay" id="ay">ay</a></big></b> <br/> This argument has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>ADVector</span></font></i><font color="blue"><span style='white-space: nowrap'>& </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> Its input size must be equal to <code><i><font color="black"><span style='white-space: nowrap'>m</span></font></i></code> and does not change. The input values of its elements do not matter. Upon return, it is an <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> version of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>y</mi> <mo stretchy="false">=</mo> <mi mathvariant='italic'>f</mi> <mo stretchy="false">(</mo> <mi mathvariant='italic'>x</mi> <mo stretchy="false">)</mo> </mrow></math> . <br/> <br/> <b><big><a name="option" id="option">option</a></big></b> <br/> The <code><font color="blue">option</font></code> syntax can be used to set the type of sparsity pattern used by <code><i><font color="black"><span style='white-space: nowrap'>afun</span></font></i></code> . This is an <code><font color="blue"><span style='white-space: nowrap'>atomic_base<</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></code> function and its documentation can be found at <a href="atomic_option.xml" target="_top"><span style='white-space: nowrap'>atomic_option</span></a> . <br/> <br/> <b><big><a name="algo" id="algo">algo</a></big></b> <br/> The type of <code><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i></code> is arbitrary, except for the fact that the syntax <code><font color="blue"><span style='white-space: nowrap'><br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i><font color="blue"><span style='white-space: nowrap'>(</span></font><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i><font color="blue"><span style='white-space: nowrap'>, </span></font><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font></code> must evaluate the function <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow> <mi mathvariant='italic'>y</mi> <mo stretchy="false">=</mo> <mi mathvariant='italic'>f</mi> <mo stretchy="false">(</mo> <mi mathvariant='italic'>x</mi> <mo stretchy="false">)</mo> </mrow></math> using <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> operations. In addition, we assume that the <a href="glossary.xml#Operation.Sequence" target="_top"><span style='white-space: nowrap'>operation sequence</span></a> does not depend on the value of <code><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i></code> . <br/> <br/> <b><big><a name="afun" id="afun">afun</a></big></b> <br/> Given <code><i><font color="black"><span style='white-space: nowrap'>ax</span></font></i></code> it computes the corresponding value of <code><i><font color="black"><span style='white-space: nowrap'>ay</span></font></i></code> using the operation sequence corresponding to <code><i><font color="black"><span style='white-space: nowrap'>algo</span></font></i></code> . If <code><font color="blue"><span style='white-space: nowrap'>AD<</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></code> operations are being recorded, it enters the computation as single operation in the recording see <a href="independent.xml#Start Recording" target="_top"><span style='white-space: nowrap'>start recording</span></a> . (Currently each use of <code><i><font color="black"><span style='white-space: nowrap'>afun</span></font></i></code> actually corresponds to <code><i><font color="black"><span style='white-space: nowrap'>m</span></font></i><font color="blue"><span style='white-space: nowrap'>+</span></font><i><font color="black"><span style='white-space: nowrap'>n</span></font></i><font color="blue"><span style='white-space: nowrap'>+2</span></font></code> operations and creates <code><i><font color="black"><span style='white-space: nowrap'>m</span></font></i></code> new variables, but this is not part of the CppAD specifications and my change.) <br/> <br/> <b><big><a name="clear" id="clear">clear</a></big></b> <br/> The <code><font color="blue">atomic_base</font></code> class holds onto static work space in order to increase speed by avoiding system memory allocation calls. This call makes to work space <a href="ta_available.xml" target="_top"><span style='white-space: nowrap'>available</span></a> to for other uses by the same thread. This should be called when you are done using the user atomic functions for a specific value of <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> . <br/> <br/> <b><a name="clear.Restriction" id="clear.Restriction">Restriction</a></b> <br/> The <code><font color="blue">clear</font></code> routine cannot be called while in <a href="ta_in_parallel.xml" target="_top"><span style='white-space: nowrap'>parallel</span></a> execution mode. <br/> <br/> <b><big><a name="Example" id="Example">Example</a></big></b> <br/> The file <a href="checkpoint.cpp.xml" target="_top"><span style='white-space: nowrap'>checkpoint.cpp</span></a> contains an example and test of these operations. It returns true if it succeeds and false if it fails. <hr/>Input File: cppad/local/checkpoint.hpp </body> </html> |