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nan.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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type='text/javascript' language='JavaScript' src='_nan_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="check_simple_vector.cpp.xml" target="_top">Prev</a> </td><td><a href="nan.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>library</option> <option>nan</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>library-></option> <option>ErrorHandler</option> <option>NearEqual</option> <option>speed_test</option> <option>SpeedTest</option> <option>time_test</option> <option>NumericType</option> <option>CheckNumericType</option> <option>SimpleVector</option> <option>CheckSimpleVector</option> <option>nan</option> <option>pow_int</option> <option>Poly</option> <option>LuDetAndSolve</option> <option>RombergOne</option> <option>RombergMul</option> <option>Runge45</option> <option>Rosen34</option> <option>OdeErrControl</option> <option>OdeGear</option> <option>OdeGearControl</option> <option>CppAD_vector</option> <option>thread_alloc</option> <option>index_sort</option> <option>BenderQuad</option> <option>opt_val_hes</option> <option>LuRatio</option> </select> </td> <td> <select onchange='choose_down0(this)'> <option>nan-></option> <option>nan.cpp</option> </select> </td> <td> <select onchange='choose_current0(this)'> <option>Headings-></option> <option>Syntax</option> <option>Purpose</option> <option>Include</option> <option>---..Macros</option> <option>nan</option> <option>---..z</option> <option>---..s</option> <option>isnan</option> <option>---..s</option> <option>---..b</option> <option>hasnan</option> <option>---..v</option> <option>---..b</option> <option>Scalar</option> <option>Vector</option> <option>Example</option> </select> </td> </tr></table><br/> <center><b><big><big>Obtain Nan or Determine if a Value is Nan</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'># include <cppad/nan.hpp><br/> </span></font></code> <code><i><font color="black"><span style='white-space: nowrap'>s</span></font></i><font color="blue"><span style='white-space: nowrap'> = nan(</span></font><i><font color="black"><span style='white-space: nowrap'>z</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font></code> <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'> = isnan(</span></font><i><font color="black"><span style='white-space: nowrap'>s</span></font></i><font color="blue"><span style='white-space: nowrap'>)<br/> </span></font></code> <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i><font color="blue"><span style='white-space: nowrap'> = hasnan(</span></font><i><font color="black"><span style='white-space: nowrap'>v</span></font></i><font color="blue"><span style='white-space: nowrap'>)</span></font></code> <br/> <br/> <b><big><a name="Purpose" id="Purpose">Purpose</a></big></b> <br/> It obtain and check for the value not a number <code><font color="blue">nan</font></code>. The IEEE standard specifies that a floating point value <code><i><font color="black"><span style='white-space: nowrap'>a</span></font></i></code> is <code><font color="blue">nan</font></code> if and only if the following returns true <code><font color="blue"><span style='white-space: nowrap'><br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'> != </span></font><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> <br/> <b><big><a name="Include" id="Include">Include</a></big></b> <br/> The file <code><font color="blue">cppad/nan.hpp</font></code> is included by <code><font color="blue">cppad/cppad.hpp</font></code> but it can also be included separately with out the rest of the <code><font color="blue">CppAD</font></code> routines. <br/> <br/> <b><a name="Include.Macros" id="Include.Macros">Macros</a></b> <br/> Some C++ compilers use preprocessor symbols called <code><font color="blue">nan</font></code> and <code><font color="blue">isnan</font></code>. These preprocessor symbols will no longer be defined after this file is included. <br/> <br/> <b><big><a name="nan" id="nan">nan</a></big></b> <br/> This routine returns a <code><font color="blue">nan</font></code> with the same type as <code><i><font color="black"><span style='white-space: nowrap'>z</span></font></i></code> . <br/> <br/> <b><a name="nan.z" id="nan.z">z</a></b> <br/> The argument <code><i><font color="black"><span style='white-space: nowrap'>z</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'>Scalar</span></font></i><font color="blue"><span style='white-space: nowrap'> &</span></font><i><font color="black"><span style='white-space: nowrap'>z</span></font></i><font color="blue"><span style='white-space: nowrap'> <br/> </span></font></code> and its value is zero (see <a href="nan.xml#Scalar" target="_top"><span style='white-space: nowrap'>Scalar</span></a> for the definition of <code><i><font color="black"><span style='white-space: nowrap'>Scalar</span></font></i></code> ). <br/> <br/> <b><a name="nan.s" id="nan.s">s</a></b> <br/> The return value <code><i><font color="black"><span style='white-space: nowrap'>s</span></font></i></code> has prototype <code><font color="blue"><span style='white-space: nowrap'><br/>      </span></font><i><font color="black"><span style='white-space: nowrap'>Scalar</span></font></i><font color="blue"><span style='white-space: nowrap'> </span></font><i><font color="black"><span style='white-space: nowrap'>s</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> It is the value <code><font color="blue">nan</font></code> for this floating point type. <br/> <br/> <b><big><a name="isnan" id="isnan">isnan</a></big></b> <br/> This routine determines if a scalar value is <code><font color="blue">nan</font></code>. <br/> <br/> <b><a name="isnan.s" id="isnan.s">s</a></b> <br/> The argument <code><i><font color="black"><span style='white-space: nowrap'>s</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'>Scalar</span></font></i><font color="blue"><span style='white-space: nowrap'> </span></font><i><font color="black"><span style='white-space: nowrap'>s</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> <br/> <b><a name="isnan.b" id="isnan.b">b</a></b> <br/> The return value <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> has prototype <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> It is true if the value <code><i><font color="black"><span style='white-space: nowrap'>s</span></font></i></code> is <code><font color="blue">nan</font></code>. <br/> <br/> <b><big><a name="hasnan" id="hasnan">hasnan</a></big></b> <br/> This routine determines if a <a href="simplevector.xml" target="_top"><span style='white-space: nowrap'>SimpleVector</span></a> has an element that is <code><font color="blue">nan</font></code>. <br/> <br/> <b><a name="hasnan.v" id="hasnan.v">v</a></b> <br/> The argument <code><i><font color="black"><span style='white-space: nowrap'>v</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'>Vector</span></font></i><font color="blue"><span style='white-space: nowrap'> &</span></font><i><font color="black"><span style='white-space: nowrap'>v</span></font></i><font color="blue"><span style='white-space: nowrap'><br/> </span></font></code> (see <a href="nan.xml#Vector" target="_top"><span style='white-space: nowrap'>Vector</span></a> for the definition of <code><i><font color="black"><span style='white-space: nowrap'>Vector</span></font></i></code> ). <br/> <br/> <b><a name="hasnan.b" id="hasnan.b">b</a></b> <br/> The return value <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> has prototype <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> It is true if the vector <code><i><font color="black"><span style='white-space: nowrap'>v</span></font></i></code> has a <code><font color="blue">nan</font></code>. <br/> <br/> <b><big><a name="Scalar" id="Scalar">Scalar</a></big></b> <br/> The type <code><i><font color="black"><span style='white-space: nowrap'>Scalar</span></font></i></code> must support the following operations; <table><tr><td align='left' valign='top'> <b>Operation</b> </td><td align='left' valign='top'> <b>Description</b> </td></tr><tr><td align='left' valign='top'> <code><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'> / </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> </td><td align='left' valign='top'> division operator (returns a <code><i><font color="black"><span style='white-space: nowrap'>Scalar</span></font></i></code> object) </td></tr><tr><td align='left' valign='top'> <code><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'> == </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> </td><td align='left' valign='top'> equality operator (returns a <code><font color="blue">bool</font></code> object) </td></tr><tr><td align='left' valign='top'> <code><i><font color="black"><span style='white-space: nowrap'>a</span></font></i><font color="blue"><span style='white-space: nowrap'> != </span></font><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> </td><td align='left' valign='top'> not equality operator (returns a <code><font color="blue">bool</font></code> object) </td></tr> </table> Note that the division operator will be used with <code><i><font color="black"><span style='white-space: nowrap'>a</span></font></i></code> and <code><i><font color="black"><span style='white-space: nowrap'>b</span></font></i></code> equal to zero. For some types (e.g. <code><font color="blue">int</font></code>) this may generate an exception. No attempt is made to catch any such exception. <br/> <br/> <b><big><a name="Vector" id="Vector">Vector</a></big></b> <br/> The type <code><i><font color="black"><span style='white-space: nowrap'>Vector</span></font></i></code> must be a <a href="simplevector.xml" target="_top"><span style='white-space: nowrap'>SimpleVector</span></a> class with elements of type <code><i><font color="black"><span style='white-space: nowrap'>Scalar</span></font></i></code> . <br/> <br/> <b><big><a name="Example" id="Example">Example</a></big></b> <br/> The file <a href="nan.cpp.xml" target="_top"><span style='white-space: nowrap'>nan.cpp</span></a> contains an example and test of this routine. It returns true if it succeeds and false otherwise. <hr/>Input File: cppad/nan.hpp </body> </html> |