| <?xml version="1.0" encoding="UTF-8"?> |
| <!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN" |
| "http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd" [ |
| <!ENTITY mathFunctionsInc SYSTEM "mathFunctionsInc.xml"> |
| ]> |
| <refentry> |
| <refentryinfo> |
| <keywordset> |
| <keyword>log, log2, log10, log1p, logb</keyword> |
| </keywordset> |
| </refentryinfo> |
| |
| <refmeta> |
| <refentrytitle>log, log2, log10, log1p, logb</refentrytitle> |
| |
| <refmiscinfo> |
| <copyright> |
| <year>2007-2010</year> |
| <holder>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.</holder> |
| </copyright> |
| </refmiscinfo> |
| <manvolnum>3</manvolnum> |
| </refmeta> |
| |
| <!-- ================================ SYNOPSIS --> |
| |
| <refnamediv id="log"> |
| <refname>log, log2, log10, log1p, logb</refname> |
| |
| <refpurpose> |
| Logarithm functions. |
| </refpurpose> |
| </refnamediv> |
| |
| <refsynopsisdiv xmlns:xlink="http://www.w3.org/1999/xlink"><title></title> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| log |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter></parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| log2 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter></parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| log10 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter></parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| log1p |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| logb |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| half_log |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| half_log2 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| half_log10 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| native_log |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| native_log2 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| <funcsynopsis> |
| <funcprototype> |
| <funcdef> |
| gentype |
| <function> |
| native_log10 |
| </function> |
| </funcdef> |
| <paramdef>gentype<parameter>x</parameter></paramdef> |
| </funcprototype> |
| </funcsynopsis> |
| |
| |
| </refsynopsisdiv> |
| |
| <!-- ================================ DESCRIPTION --> |
| |
| <refsect1 id="description"><title>Description</title> |
| <para> |
| <function>log</function> computes natural logarithm. |
| </para> |
| |
| <para> |
| <function>log2</function> computes a base 2 logarithm. |
| </para> |
| |
| <para> |
| <function>log10</function> computes a base 10 logarithm. |
| </para> |
| |
| <para> |
| <function>log1p</function> computes log<subscript>e</subscript>(1.0 + <varname>x</varname>). |
| </para> |
| |
| <para> |
| <function>logb</function> computes the exponent of <varname>x</varname>, which is the integral part of log<subscript>r</subscript> |<varname>x</varname>|. |
| </para> |
| <para> |
| <function>half_log</function> computes natural logarithm. |
| </para> |
| |
| <para> |
| <function>half_log2</function> computes a base 2 logarithm. |
| </para> |
| |
| <para> |
| <function>half_log10</function> computes a base 10 logarithm. |
| </para> |
| |
| <para> |
| <function>native_log</function> computes natural logarithm over an implementation-defined range. The maximum error is implementation-defined. |
| </para> |
| |
| <para> |
| <function>native_log2</function> computes a base 2 logarithm over an implementation-defined range. The maximum error is implementation-defined. |
| </para> |
| |
| <para> |
| <function>native_log10</function> computes a base 10 logarithm over an implementation-defined range. The maximum error is implementation-defined. |
| </para> |
| |
| </refsect1> |
| |
| <!-- ================================ NOTES --> |
| |
| <refsect1 id="notes"><title>Notes</title> |
| &mathFunctionsInc; |
| <para> |
| Functions with the <constant>half_</constant> prefix are implemented with a minimum of 10-bits of accuracy i.e. an ULP value less than or equal to 8192 ulp. |
| </para> |
| <para> |
| Functions with the <constant>native__</constant> prefix may map to one or more native device instructions and will typically have better performance compared to the corresponding functions (without the <constant>native__</constant> prefix). The accuracy (and in some cases the input range(s)) of these functions is implementation-defined. |
| </para> |
| </refsect1> |
| |
| <!-- ================================ EXAMPLE --> |
| <!-- DO NOT DELETE IN CASE AN EXAMPLE IS ADDED IN THE FUTURE --> |
| <!-- |
| <refsect2 id="example1"> |
| <title> |
| Example |
| </title> |
| |
| <informaltable frame="none"> |
| <tgroup cols="1" align="left" colsep="0" rowsep="0"> |
| <colspec colname="col1" colnum="1" /> |
| <tbody> |
| <row> |
| <entry> |
| Example goes here - it will be set in "code" type with white space preserved. |
| </entry> |
| </row> |
| </tbody> |
| </tgroup> |
| </informaltable> |
| </refsect2> |
| --> |
| |
| |
| <!-- ================================ SPECIFICATION --> |
| <!-- Set the "uri" attribute in the <olink /> element to the "named destination" for the PDF page |
| --> |
| <refsect1 id="specification"><title>Specification</title> |
| <para> |
| <imageobject> |
| <imagedata fileref="pdficon_small1.gif" format="gif" /> |
| </imageobject> |
| |
| <olink uri="mathFunctions">OpenCL Specification</olink> |
| </para> |
| </refsect1> |
| |
| |
| <!-- ================================ ALSO SEE --> |
| |
| <refsect1 id="seealso"><title>Also see</title> |
| <para> |
| <citerefentry href="mathFunctions"><refentrytitle>Math Functions</refentrytitle></citerefentry> |
| </para> |
| </refsect1> |
| |
| |
| |
| <!-- ============================== COPYRIGHT --> |
| <!-- Content included from copyright.inc.xsl --> |
| |
| <refsect3 id="Copyright"><title></title> |
| <imageobject> |
| <imagedata fileref="KhronosLogo.jpg" format="jpg" /> |
| </imageobject> |
| <para /> |
| </refsect3> |
| |
| </refentry> |
| |