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| <title>exp, exp2, exp10, expm1,half_exp, half_exp2, half_exp10, native_exp, native_exp2, native_exp10</title> |
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| <meta name="keywords" content="exp, exp2, exp10, expm1,half_exp, half_exp2, half_exp10, native_exp, native_exp2, native_exp10" /> |
| </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="exp"></a> |
| <h1>exp, exp2, exp10, expm1 (including half_ and native_)</h1> |
| <p> |
| Exponent functions. |
| </p> |
| </div> |
| <div class="refsynopsisdiv"> |
| <h2></h2> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| exp |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| exp2 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam"></var><code>)</code></td> |
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| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| exp10 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam"></var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| expm1 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| half_exp |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| half_exp2 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| half_exp10 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| native_exp |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| native_exp2 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| <div class="funcsynopsis"> |
| <table xmlns="" border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"> |
| <tr valign="bottom"> |
| <td> |
| <code xmlns="http://www.w3.org/1999/xhtml" class="funcdef"> |
| gentype |
| <strong class="fsfunc"> |
| native_exp10 |
| </strong> |
| (</code> |
| <td>gentype <var xmlns="http://www.w3.org/1999/xhtml" class="pdparam">x</var><code>)</code></td> |
| </td> |
| </tr> |
| </table> |
| </div> |
| </div> |
| <div class="refsect1"> |
| <a id="description"></a> |
| <h2>Description</h2> |
| <p><code class="function">exp</code> computes the base- e exponential of <code class="varname">x</code>. </p> |
| <p><code class="function">exp2</code> is the exponential base 2 function. </p> |
| <p><code class="function">exp10</code> is the exponential base 10 function. </p> |
| <p><code class="function">expm1</code> computes <code class="varname">e</code><sup>x</sup> - 1.0. </p> |
| <p><code class="function">half_exp</code> computes the base- e exponential of <code class="varname">x</code>. </p> |
| <p><code class="function">half_exp2</code> computes the base- 2 exponential of <code class="varname">x</code>. </p> |
| <p><code class="function">half_exp10</code> computes the base- 10 exponential of <code class="varname">x</code>. </p> |
| <p><code class="function">native_exp</code> computes the base- e exponential of <code class="varname">x</code> over an |
| implementation-defined range. The maximum error is implementation-defined. </p> |
| <p><code class="function">native_exp2</code> computes the base- 2 exponential of <code class="varname">x</code> over an |
| implementation-defined range. The maximum error is implementation-defined. </p> |
| <p><code class="function">native_exp10</code> computes the base- 10 exponential of <code class="varname">x</code> over an |
| implementation-defined range. The maximum error is implementation-defined. </p> |
| </div> |
| <div class="refsect1"> |
| <a id="notes"></a> |
| <h2>Notes</h2> |
| <p> |
| General information about built-in math functions: |
| The built-in math functions are categorized into the following: |
| </p> |
| <p> |
| </p> |
| <div class="itemizedlist"> |
| <ul class="itemizedlist" style="list-style-type: disc; "> |
| <li class="listitem">A list of built-in functions that have scalar or vector argument versions, and,</li> |
| <li class="listitem">A list of built-in functions that only take scalar float arguments.</li> |
| </ul> |
| </div> |
| <p> |
| </p> |
| <p> |
| The vector versions of the math functions operate |
| component-wise. The description is per-component. |
| </p> |
| <p> |
| The built-in math functions are not affected by the prevailing rounding mode in the calling |
| environment, and always return the same value as they would if called with the round to |
| nearest even rounding mode. |
| </p> |
| <p> |
| The built-in math functions take scalar or vector arguments. For any specific use of these |
| function, the actual type has to be the same for all arguments and the return type unless |
| otherwise specified. |
| </p> |
| <p> |
| The generic type name <span class="type">gentype</span> is used to indicate that the function can |
| take <span class="type">float</span>, <span class="type">float2</span>, <span class="type">float3</span>, <span class="type">float4</span>, |
| <span class="type">float8</span>, <span class="type">float16</span>, <span class="type">double</span>, <span class="type">double2</span>, |
| <span class="type">double3</span>, <span class="type">double4</span>, <span class="type">double8</span>, or <span class="type">double16</span> |
| as the type for the arguments. |
| </p> |
| <p> |
| If extended with <a class="citerefentry" href="cl_khr_fp16.html"><span class="citerefentry"><span class="refentrytitle">cl_khr_fp16</span></span></a>, |
| generic type name <span class="type">gentype</span> may indicate <span class="type">half</span> and |
| <span class="type">half{2|3|4|8|16}</span> as arguments and return values. |
| </p> |
| <p> |
| The generic type name <span class="type">gentypef</span> is used to indicate that the function can |
| take <span class="type">float</span>, <span class="type">float2</span>, <span class="type">float3</span>, <span class="type">float4</span>, |
| <span class="type">float8</span>, or <span class="type">float16</span> as the type for the arguments. |
| </p> |
| <p> |
| The generic type name <span class="type">gentyped</span> is used to indicate that the function can take |
| <span class="type">double</span>, <span class="type">double2</span>, <span class="type">double3</span>, <span class="type">double4</span>, |
| <span class="type">double8</span>, or <span class="type">double16</span> as the type for the arguments. |
| </p> |
| <h4><a id="id-1.6.11"></a>Half and Native forms</h4> |
| <p> |
| A subset of Math functions (table 6.8) are defined |
| with the <code class="code">half_</code> prefix. These |
| functions are implemented with a minimum of |
| 10-bits of accuracy i.e. an ULP value ≤ |
| 8192 ulp. |
| </p> |
| <p> |
| A subset of Math functions (table 6.8) are |
| defined with the <code class="code">native_</code> prefix. These |
| functions may map to one or more native device |
| instructions and will typically have |
| better performance compared to the corresponding |
| functions (without the <code class="code">native__</code> |
| prefix). The accuracy (and in some cases the |
| input range(s)) of |
| these functions is implementation-defined. |
| </p> |
| <p> |
| For the half and native forms, we use the |
| generic type name |
| gentype to indicate that the functions |
| (table 6.9) can take |
| <span class="type">float</span>, <span class="type">float2</span>, |
| <span class="type">float3</span>, |
| <span class="type">float4</span>, <span class="type">float8</span> |
| or <span class="type">float16</span> as the type for the |
| arguments. |
| </p> |
| <p> |
| Support for denormal values is optional for |
| <code class="code">half_</code> functions. The <code class="code">half_</code> |
| functions may return any |
| result allowed by section 7.5.3, even when |
| <code class="code">-cl-denorms-are-zero</code> (see section 5.8.4.2) is not in |
| force. Support for denormal values is |
| implementation-defined for <code class="code">native_</code> functions. |
| </p> |
| </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-2.0-openclc.pdf#namedest=mathFunctions" 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> |
| </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> |
| </div> |
| </body> |
| </html> |