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|  | <title>Symbolic Math Constants</title> | 
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|  | <meta name="keywords" content="Symbolic Math Constants" /> | 
|  | </head> | 
|  | <body> | 
|  | <div class="refentry"> | 
|  | <a id="idp2522688"></a> | 
|  | <div class="titlepage"></div> | 
|  | <div xmlns="" class="refnamediv"> | 
|  | <a xmlns="http://www.w3.org/1999/xhtml" id="SymbolicMathConstants"></a> | 
|  | <h1>Symbolic Math Constants</h1> | 
|  | <p> | 
|  | The following symbolic constants are available. | 
|  | </p> | 
|  | </div> | 
|  | <div class="refsect1"> | 
|  | <a id="description"></a> | 
|  | <h2>Built-in Math Constants</h2> | 
|  | <p> | 
|  | The following symbolic constants are available.  Their values are of type | 
|  | <span class="type">float</span> and are accurate within the precision of a single precision | 
|  | floating-point number. | 
|  | </p> | 
|  | <div class="informaltable"> | 
|  | <table border="1"> | 
|  | <colgroup> | 
|  | <col align="left" class="col1" /> | 
|  | <col align="left" class="col2" /> | 
|  | </colgroup> | 
|  | <thead> | 
|  | <tr> | 
|  | <th align="left">Constant Name</th> | 
|  | <th align="left">Description</th> | 
|  | </tr> | 
|  | </thead> | 
|  | <tbody> | 
|  | <tr> | 
|  | <td align="left"> MAXFLOAT </td> | 
|  | <td align="left"> | 
|  | Value of maximum non-infinite single-precision floating-point number. | 
|  | </td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left"> HUGE_VALF </td> | 
|  | <td align="left"> | 
|  | A positive float constant expression. <code class="constant">HUGE_VALF</code> evaluates to +infinity. | 
|  | Used as an error value returned by the | 
|  | <a class="citerefentry" href="mathFunctions.html"><span class="citerefentry"><span class="refentrytitle">built-in math functions</span></span></a>. | 
|  | </td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left"> INFINITY </td> | 
|  | <td align="left"> | 
|  | A constant expression of type <span class="type">float</span> representing positive or unsigned infinity. | 
|  | </td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left"> NAN </td> | 
|  | <td align="left"> | 
|  | A constant expression of type <span class="type">float</span> representing a quiet NaN. | 
|  | </td> | 
|  | </tr> | 
|  | </tbody> | 
|  | </table> | 
|  | </div> | 
|  | <p> | 
|  | If double precision is supported by the device, the following symbolic constant will | 
|  | also be available: | 
|  | </p> | 
|  | <div class="informaltable"> | 
|  | <table border="1"> | 
|  | <colgroup> | 
|  | <col align="left" class="col1" /> | 
|  | <col align="left" class="col2" /> | 
|  | </colgroup> | 
|  | <thead> | 
|  | <tr> | 
|  | <th align="left">Constant Name</th> | 
|  | <th align="left">Description</th> | 
|  | </tr> | 
|  | </thead> | 
|  | <tbody> | 
|  | <tr> | 
|  | <td align="left"> | 
|  | HUGE_VAL | 
|  | </td> | 
|  | <td align="left"> | 
|  | <p> | 
|  | A positive double constant expression. <code class="constant">HUGE_VAL</code> | 
|  | evaluates to +infinity.  Used as an error value returned by the | 
|  | built-in math functions. | 
|  | </p> | 
|  | </td> | 
|  | </tr> | 
|  | </tbody> | 
|  | </table> | 
|  | </div> | 
|  | <p> | 
|  | The following constants are also available. They are of type <span class="type">float</span> | 
|  | and are accurate within the precision of the <span class="type">float</span> type. | 
|  | </p> | 
|  | <div class="informaltable"> | 
|  | <table border="1"> | 
|  | <colgroup> | 
|  | <col align="left" class="col1" /> | 
|  | <col align="left" class="col2" /> | 
|  | </colgroup> | 
|  | <thead> | 
|  | <tr> | 
|  | <th align="left">Constant Name</th> | 
|  | <th align="left">Description</th> | 
|  | </tr> | 
|  | </thead> | 
|  | <tbody> | 
|  | <tr> | 
|  | <td align="left">M_E_F</td> | 
|  | <td align="left">Value of e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG2E_F</td> | 
|  | <td align="left">Value of log<sub>2</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG10E_F</td> | 
|  | <td align="left">Value of log<sub>10</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN2_F</td> | 
|  | <td align="left">Value of log<sub>e</sub>2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN10_F</td> | 
|  | <td align="left">Value of log<sub>e</sub>10</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_F</td> | 
|  | <td align="left">Value of pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_2_F</td> | 
|  | <td align="left">Value of pi / 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_4_F</td> | 
|  | <td align="left">Value of pi / 4</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_1_PI_F</td> | 
|  | <td align="left">Value of 1 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_PI_F</td> | 
|  | <td align="left">Value of 2 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_SQRTPI_F</td> | 
|  | <td align="left">Value of 2 / (square root of pi)</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT2_F</td> | 
|  | <td align="left">Value of square root of 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT1_2_F</td> | 
|  | <td align="left">Value of 1 / (square root of 2)</td> | 
|  | </tr> | 
|  | </tbody> | 
|  | </table> | 
|  | </div> | 
|  | <p> | 
|  | If double precision is supported by the device, the following macros and constants | 
|  | are also available. They are of type <span class="type">double</span> and are accurate within the | 
|  | precision of the <span class="type">double</span> type. | 
|  | </p> | 
|  | <div class="informaltable"> | 
|  | <table border="1"> | 
|  | <colgroup> | 
|  | <col align="left" class="col1" /> | 
|  | <col align="left" class="col2" /> | 
|  | </colgroup> | 
|  | <thead> | 
|  | <tr> | 
|  | <th align="left">Constant Name</th> | 
|  | <th align="left">Description</th> | 
|  | </tr> | 
|  | </thead> | 
|  | <tbody> | 
|  | <tr> | 
|  | <td align="left">M_E</td> | 
|  | <td align="left">Value of e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG2E</td> | 
|  | <td align="left">Value of log<sub>2</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG10E</td> | 
|  | <td align="left">Value of log<sub>10</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN2</td> | 
|  | <td align="left">Value of log<sub>e</sub>2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN10</td> | 
|  | <td align="left">Value of log<sub>e</sub>10</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI</td> | 
|  | <td align="left">Value of pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_2</td> | 
|  | <td align="left">Value of pi / 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_4</td> | 
|  | <td align="left">Value of pi / 4</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_1_PI</td> | 
|  | <td align="left">Value of 1 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_PI</td> | 
|  | <td align="left">Value of 2 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_SQRTPI</td> | 
|  | <td align="left">Value of 2 / (square root of pi)</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT2</td> | 
|  | <td align="left">Value of square root of 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT1_2</td> | 
|  | <td align="left">Value of 1 / (square root of 2)</td> | 
|  | </tr> | 
|  | </tbody> | 
|  | </table> | 
|  | </div> | 
|  | <p> | 
|  | The following constants are also available. They are of type <span class="type">half</span> and | 
|  | are accurate within the precision of the <span class="type">half</span> type.  An application that | 
|  | wants to use <span class="type">half</span> and <span class="type">half<em class="replaceable"><code>n</code></em></span> | 
|  | types will need to include the <code class="code">#pragma OPENCL EXTENSION | 
|  | <a class="citerefentry" href="cl_khr_fp16.html"><span class="citerefentry"><span class="refentrytitle">cl_khr_fp16</span></span></a> : enable</code> | 
|  | directive. | 
|  | </p> | 
|  | <div class="informaltable"> | 
|  | <table border="1"> | 
|  | <colgroup> | 
|  | <col align="left" class="col1" /> | 
|  | <col align="left" class="col2" /> | 
|  | </colgroup> | 
|  | <thead> | 
|  | <tr> | 
|  | <th align="left">Constant</th> | 
|  | <th align="left">Description</th> | 
|  | </tr> | 
|  | </thead> | 
|  | <tbody> | 
|  | <tr> | 
|  | <td align="left">M_E_H</td> | 
|  | <td align="left">Value of e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG2E_H</td> | 
|  | <td align="left">Value of log<sub>2</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LOG10E_H</td> | 
|  | <td align="left">Value of log<sub>10</sub>e</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN2_H</td> | 
|  | <td align="left">Value of log<sub>e</sub>2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_LN10_H</td> | 
|  | <td align="left">Value of log<sub>e</sub>10</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_H</td> | 
|  | <td align="left">Value of pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_2_H</td> | 
|  | <td align="left">Value of pi / 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_PI_4_H</td> | 
|  | <td align="left">Value of pi / 4</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_1_PI_H</td> | 
|  | <td align="left">Value of 1 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_PI_H</td> | 
|  | <td align="left">Value of 2 / pi</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_2_SQRTPI_H</td> | 
|  | <td align="left">Value of 2 / (square root of pi)</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT2_H</td> | 
|  | <td align="left">Value of square root of 2</td> | 
|  | </tr> | 
|  | <tr> | 
|  | <td align="left">M_SQRT1_2_H</td> | 
|  | <td align="left">Value of 1 / (square root of 2)</td> | 
|  | </tr> | 
|  | </tbody> | 
|  | </table> | 
|  | </div> | 
|  | </div> | 
|  | <div class="refsect1"> | 
|  | <a id="specification"></a> | 
|  | <h2>Specification</h2> | 
|  | <p> | 
|  | <img src="pdficon_small1.gif" /> | 
|  |  | 
|  | <a href="http://www.khronos.org/registry/cl/specs/opencl-1.2.pdf#page=251" target="OpenCL Spec">OpenCL Specification</a> | 
|  | </p> | 
|  | </div> | 
|  | <div class="refsect1"> | 
|  | <a id="seealso"></a> | 
|  | <h2>Also see</h2> | 
|  | <p> | 
|  | <a class="citerefentry" href="mathFunctions.html"><span class="citerefentry"><span class="refentrytitle">Math Functions</span></span></a>, | 
|  | <a class="citerefentry" href="FP_CONTRACT.html"><span class="citerefentry"><span class="refentrytitle">Floating Point Pragma</span></span></a>, | 
|  | <a class="citerefentry" href="macroLimits.html"><span class="citerefentry"><span class="refentrytitle">Macros and Limits</span></span></a> | 
|  | </p> | 
|  | </div> | 
|  | <div xmlns="" class="refsect3" lang="en" xml:lang="en"><a xmlns="http://www.w3.org/1999/xhtml" id="Copyright"></a><h4 xmlns="http://www.w3.org/1999/xhtml"></h4><img xmlns="http://www.w3.org/1999/xhtml" src="KhronosLogo.jpg" /><p xmlns="http://www.w3.org/1999/xhtml"></p>Copyright © 2007-2011 The Khronos Group Inc. | 
|  | Permission is hereby granted, free of charge, to any person obtaining a | 
|  | copy of this software and/or associated documentation files (the | 
|  | "Materials"), to deal in the Materials without restriction, including | 
|  | without limitation the rights to use, copy, modify, merge, publish, | 
|  | distribute, sublicense, and/or sell copies of the Materials, and to | 
|  | permit persons to whom the Materials are furnished to do so, subject to | 
|  | the condition that this copyright notice and permission notice shall be included | 
|  | in all copies or substantial portions of the Materials. | 
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