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compare.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 | <?xml version='1.0'?> <html xmlns='http://www.w3.org/1999/xhtml' xmlns:math='http://www.w3.org/1998/Math/MathML' > <head> <title>AD Binary Comparison Operators</title> <meta http-equiv='Content-Type' content='text/html' charset='utf-8'/> <meta name="description" id="description" content="AD Binary Comparison Operators"/> <meta name="keywords" id="keywords" content=" binary Ad compare operator < <= > >= == != ad comparison operators syntax purpose op x y b operation sequence assumptions 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='_compare_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="boolvalued.xml" target="_top">Prev</a> </td><td><a href="compare.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>BoolValued</option> <option>Compare</option> </select> </td> <td> <select onchange='choose_down3(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_down2(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_down1(this)'> <option>BoolValued-></option> <option>Compare</option> <option>NearEqualExt</option> <option>BoolFun</option> <option>ParVar</option> <option>EqualOpSeq</option> </select> </td> <td> <select onchange='choose_down0(this)'> <option>Compare-></option> <option>compare.cpp</option> </select> </td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Syntax</option> <option>Purpose</option> <option>Op</option> <option>x</option> <option>y</option> <option>b</option> <option>Operation Sequence</option> <option>Assumptions</option> <option>Example</option> </select> </td> </tr></table><br/> <center><b><big><big>AD Binary Comparison Operators</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'>b</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'>Op</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></code> <br/> <br/> <b><big><a name="Purpose" id="Purpose">Purpose</a></big></b> <br/> Compares two operands where one of the operands 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> object. The comparison has the same interpretation as for the <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> type. <br/> <br/> <b><big><a name="Op" id="Op">Op</a></big></b> <br/> The operator <code><i><font color="black"><span style='white-space: nowrap'>Op</span></font></i></code> is one of the following: <table><tr><td align='left' valign='top'> <b>Op</b> <code><span style='white-space: nowrap'> </span></code> </td><td align='left' valign='top'> <b>Meaning</b> </td></tr><tr><td align='left' valign='top'> <code><font color="blue"><</font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> less than <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr><tr><td align='left' valign='top'> <code><font color="blue"><=</font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> less than or equal <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr><tr><td align='left' valign='top'> <code><font color="blue">></font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> greater than <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr><tr><td align='left' valign='top'> <code><font color="blue">>=</font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> greater than or equal <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr><tr><td align='left' valign='top'> <code><font color="blue">==</font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> equal to <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr><tr><td align='left' valign='top'> <code><font color="blue">!=</font></code> </td><td align='left' valign='top'> is <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> not equal to <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> </td></tr> </table> <br/> <b><big><a name="x" id="x">x</a></big></b> <br/> The operand <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      const </span></font><i><font color="black"><span style='white-space: nowrap'>Type</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'><br/> </span></font></code> where <code><i><font color="black"><span style='white-space: nowrap'>Type</span></font></i></code> is <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> , <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> , or <code><font color="blue">int</font></code>. <br/> <br/> <b><big><a name="y" id="y">y</a></big></b> <br/> The operand <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      const </span></font><i><font color="black"><span style='white-space: nowrap'>Type</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></code> where <code><i><font color="black"><span style='white-space: nowrap'>Type</span></font></i></code> is <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> , <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> , or <code><font color="blue">int</font></code>. <br/> <br/> <b><big><a name="b" id="b">b</a></big></b> <br/> The result <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> has type <code><font color="blue"><span style='white-space: nowrap'><br/>      bool </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> <br/> <b><big><a name="Operation Sequence" id="Operation Sequence">Operation Sequence</a></big></b> <br/> The result of this operation is a <code><font color="blue">bool</font></code> value (not an <a href="glossary.xml#AD of Base" target="_top"><span style='white-space: nowrap'>AD of Base</span></a> object). Thus it will not be recorded as part of an AD of <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> <a href="glossary.xml#Operation.Sequence" target="_top"><span style='white-space: nowrap'>operation sequence</span></a> . <code><span style='white-space: nowrap'><br/> <br/> </span></code>For example, suppose <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> and <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i></code> are <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> objects, the tape corresponding to <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> is recording, <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> is true, and the subsequent code is <code><font color="blue"><span style='white-space: nowrap'><br/>      if( </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'> )<br/>           </span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'> = cos(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>);<br/>      else </span></font><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'> = sin(</span></font><i><font color="black"><span style='white-space: nowrap'>x</span></font></i><font color="blue"><span style='white-space: nowrap'>); <br/> </span></font></code> only the assignment <code><i><font color="black"><span style='white-space: nowrap'>y</span></font></i><font color="blue"><span style='white-space: nowrap'> = cos(</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></code> is recorded on the tape (if <code><i><font color="black"><span style='white-space: nowrap'>x</span></font></i></code> is a <a href="glossary.xml#Parameter" target="_top"><span style='white-space: nowrap'>parameter</span></a> , nothing is recorded). The <a href="comparechange.xml" target="_top"><span style='white-space: nowrap'>CompareChange</span></a> function can yield some information about changes in comparison operation results. You can use <a href="condexp.xml" target="_top"><span style='white-space: nowrap'>CondExp</span></a> to obtain comparison operations that depends on the <a href="glossary.xml#Tape.Independent Variable" target="_top"><span style='white-space: nowrap'>independent variable</span></a> values with out re-taping the AD sequence of operations. <br/> <br/> <b><big><a name="Assumptions" id="Assumptions">Assumptions</a></big></b> <br/> If one of the <code><i><font color="black"><span style='white-space: nowrap'>Op</span></font></i></code> operators listed above is used with 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> object, it is assumed that the same operator is supported by the base type <code><i><font color="black"><span style='white-space: nowrap'>Base</span></font></i></code> . <br/> <br/> <b><big><a name="Example" id="Example">Example</a></big></b> <br/> The file <a href="compare.cpp.xml" target="_top"><span style='white-space: nowrap'>compare.cpp</span></a> contains an example and test of these operations. It returns true if it succeeds and false otherwise. <hr/>Input File: cppad/local/compare.hpp </body> </html> |