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| <title>Symbolic Math Constants</title> |
| <meta name="generator" content="DocBook XSL Stylesheets V1.79.1" /> |
| <meta name="keywords" content="Symbolic Math Constants" /> |
| </head> |
| <body> |
| <div class="refentry"> |
| <a id="id-1"></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 class="informaltable" 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 class="informaltable" 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 class="informaltable" 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 class="informaltable" 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 class="informaltable" 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="https://www.khronos.org/registry/cl/specs/opencl-2.1-openclc.pdf#page=79" 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 © 2007-2015 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. |
| </div> |
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| </body> |
| </html> |
