<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "xhtml1-transitional.dtd">
<!-- saved from url=(0013)about:internet -->
<?xml-stylesheet type="text/xsl" href="mathml.xsl"?><html xmlns="http://www.w3.org/1999/xhtml" xmlns:pref="http://www.w3.org/2002/Math/preference" xmlns:xlink="http://www.w3.org/1999/xlink" pref:renderer="mathplayer-dl">
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
    <style xmlns="" type="text/css">
    /* This style sets a margin around the entire page */
        html, body {
            margin: 10px;
        }

        p {
            font: normal 16px verdana, sans-serif;
            margin: 0;
            padding-bottom:12px;
        }

        h1 {
            font: bold 25px verdana, sans-serif;
            margin-top: 0;
            margin-bottom: 3px;
            padding-top: 0;
            padding-bottom: 0;
        }

        h2 {
            font: bold 19px verdana, sans-serif;
            margin-top: 28px;
            margin-bottom: 3px;
            padding-top: 0; 
            padding-bottom: 0;
        }

        h3 {
            font: bold 19px verdana, sans-serif !important;
            margin-top: 28px;
            margin-bottom: 3px;
            padding-top: 0;
            padding-bottom: 0;
        }

        li {
            font: normal 16px verdana, sans-serif;
            margin-top: 0;
            margin-bottom: 18px;
            padding-top: 0;
            padding-bottom: 0;
        }

        .pdparam {
            font: italic 16px verdana, sans-serif;
        }
		
		.term {
			font: italic 16px verdana, sans-serif;
			font-weight: normal;
		}	
		
		.type {
			font: normal 16px verdana, sans-serif !important;
		}			
		
		.parameter { 
			font-style: italic; 
			}

        a:link, a:visited {
            color: blue;
            text-decoration: none;
            font: normal 16px;
        }

        a:hover {
            background-color: #FFFF99;
            font: normal 16px;
        }

        div.funcsynopsis {
            text-align: left;
            background-color: #e6e6e6;
            font: normal 16px verdana, sans-serif;
			padding-top: 10px;
			padding-bottom: 10px;
        }

        div.funcsynopsis table {
            border-collapse: separate;
            font: normal 16px verdana, sans-serif;
        }

        div.funcsynopsis td {
            background-color: #e6e6e6;
            border: 0 solid #000;
            padding: 1px;
            font: normal 16px verdana, sans-serif;
        }

        div.refsect1 {
            font-family: verdana, sans-serif;
            font-size: 16px;
        }

        code.constant {
            font: normal 16px courier new, monospace !important;
        }
		
		span.errorname {
            font: normal 16px verdana, sans-serif !important;
        }

        code.function {
            font: bold 16px verdana, sans-serif !important;
        }
		
        b.fsfunc {
            font: bold 16px verdana, sans-serif !important;
        }
		
        code.varname {
            font: italic 16px verdana, sans-serif;
        }

        code.replaceable {
            font: italic 16px courier new, monospace;
        }

        code.funcdef {
            font: normal 16px verdana, sans-serif !important;
        }

        .citerefentry {
            font: normal 16px verdana, sans-serif !important;
        }

        .parameter {
            font-style: italic;
        }

        code.fsfunc {
            font: normal 16px verdana, sans-serif !important;
        }

        /* PARAMETER: This style controls spacing between the terms in Parameter section */
        dt {
            margin-top: 15px;
        }

        /* TABLES: These styles apply to all tables OTHER than the Synopsis and Example tables */
        div.refsect1 table {
            width: 100%;
			margin-top: 10px;
            background-color: #FFF;
			border-collapse: collapse;
			border-color: #000;
            border-width: 1px;
			font: normal 16px verdana, sans-serif;
        }
		
        div.refsect1 th {
			border-collapse: collapse;
			border-color: #000;
            border-width: 1px;
            font: bold 16px verdana, sans-serif;
        }
		
        div.refsect1 td {
            background-color: #FFF;
            padding: 5px;
            vertical-align: text-top;
			border-collapse: collapse;
			border-color: #000;
            border-width: 1px;
            font: normal 16px verdana, sans-serif;
        }
		
		  div.refsect1 p{
            font: normal 16px verdana, sans-serif;
            margin-top: 8px;
            margin-bottom: 8px;
            padding-top: 0;
            padding-bottom: 0;
        }
		

        /* EXAMPLE: These styles apply only to the Example section */
        div.refsect2 {
            font: normal 16px courier new, monospace !important;
        }

        div.refsect2 table {
            margin-top: 0;
            background-color: #e6e6e6;
            width: 100%;
            border: 0 solid #000;
            padding: 2px;
            font: normal 16px courier new, monospace !important;
        }

        div.refsect2 td {
            background-color: #e6e6e6;
            font: normal 16px courier new, monospace !important;
			white-space:pre;
        }

        /* COPYRIGHT: This style formats the text of the copyright statement at the bottom of the page */
        div.refsect3 {
            font: normal 11px verdana, sans-serif;
            margin-top: 50px;
            margin-bottom: 20px;
            padding-top: 0;
            padding-bottom: 0;
        }
					
</style>
    <title>sqrt, rsqrt, half_sqrt, native_sqrt, half_sqrt, native_sqrt</title>
    <meta name="generator" content="DocBook XSL Stylesheets V1.79.1" />
    <meta name="keywords" content="                            &#10;                sqrt, rsqrt, half_sqrt, native_sqrt, half_sqrt, native_sqrt&#10;            " />
  </head>
  <body>
    <div class="refentry">
      <a id="idm1"></a>
      <div class="titlepage"></div>
      <div xmlns="" class="refnamediv">
        <a xmlns="http://www.w3.org/1999/xhtml" id="sqrt"></a>
        <h1>sqrt, rsqrt, half_sqrt, native_sqrt, half_sqrt, native_sqrt</h1>
        <p>
            Square root 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">                   
                        sqrt
                    </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">                   
                        half_sqrt
                    </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_sqrt
                    </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">                   
                        rsqrt
                    </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">                   
                        half_rsqrt
                    </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_rsqrt
                    </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">sqrt</code> computes square root.
		</p>
        <p>
			<code class="function">half_sqrt</code> computes square root.
		</p>
        <p>
			<code class="function">native_sqrt</code> computes square root over an implementation-defined range. The maximum error is implementation-defined.
		</p>
        <p>
			<code class="function">rsqrt</code> computes inverse square root.
		</p>
        <p>
			<code class="function">half_rsqrt</code> computes inverse square root.
		</p>
        <p>
			<code class="function">native_rsqrt</code> computes inverse square root over an implementation-defined range. The maximum error is implementation-defined.
		</p>
      </div>
      <div class="refsect1">
        <a id="notes"></a>
        <h2>Notes</h2>
        <p>
		Functions with the <code class="constant">half_</code> prefix are implemented with a minimum of 10-bits of accuracy i.e. an ULP value less than or equal to 8192 ulp.
		</p>
        <p>
		Functions with the native_ prefix may map to one or more native device instructions and will typically have better performance compared to the corresponding functions (without the <code class="constant">native__</code> prefix). The accuracy (and in some cases the input range(s)) of these
functions is implementation-defined.
		</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>
		This built-in math function takes scalar or vector arguments. 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">float4</span>, <span class="type">float8</span>, or <span class="type">float16</span> as the type for the arguments. For any specific
use of these function, the actual type has to be the same for all arguments and the return type.
		</p>
        <p>
		If extended with <a class="citerefentry" href="cl_khr_fp64.html"><span class="citerefentry"><span class="refentrytitle">cl_khr_fp64</span></span></a>, generic type name <span class="type">gentype</span> may indicate <span class="type">double</span> and <span class="type">double{2|4|8|16}</span> as arguments and return values. 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|4|8|16}</span> as arguments and return values. 
		</p>
      </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-1.0.pdf#page=170" 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 © 2007-2009 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>