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<!DOCTYPE refentry [ <!ENTITY % mathent SYSTEM "math.ent"> %mathent; ]>
<!-- Converted by db4-upgrade version 1.1 -->
<refentry xmlns="http://docbook.org/ns/docbook" version="5.0" xml:id="mix">
<info>
<copyright>
<year>2011-2014</year>
<holder>Khronos Group</holder>
</copyright>
</info>
<refmeta>
<refentrytitle>mix</refentrytitle>
<manvolnum>3G</manvolnum>
</refmeta>
<refnamediv>
<refname>mix</refname>
<refpurpose>linearly interpolate between two values</refpurpose>
</refnamediv>
<refsynopsisdiv><title>Declaration</title>
<funcsynopsis>
<funcprototype>
<funcdef>genType <function>mix</function></funcdef>
<paramdef>genType <parameter>x</parameter></paramdef>
<paramdef>genType <parameter>y</parameter></paramdef>
<paramdef>genType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genType <function>mix</function></funcdef>
<paramdef>genType <parameter>x</parameter></paramdef>
<paramdef>genType <parameter>y</parameter></paramdef>
<paramdef>float <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genDType <function>mix</function></funcdef>
<paramdef>genDType <parameter>x</parameter></paramdef>
<paramdef>genDType <parameter>y</parameter></paramdef>
<paramdef>genDType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genDType <function>mix</function></funcdef>
<paramdef>genDType <parameter>x</parameter></paramdef>
<paramdef>genDType <parameter>y</parameter></paramdef>
<paramdef>double <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genType <function>mix</function></funcdef>
<paramdef>genType <parameter>x</parameter></paramdef>
<paramdef>genType <parameter>y</parameter></paramdef>
<paramdef>genBType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genDType <function>mix</function></funcdef>
<paramdef>genDType <parameter>x</parameter></paramdef>
<paramdef>genDType <parameter>y</parameter></paramdef>
<paramdef>genBType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genIType <function>mix</function></funcdef>
<paramdef>genIType <parameter>x</parameter></paramdef>
<paramdef>genIType <parameter>y</parameter></paramdef>
<paramdef>genBType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genUType <function>mix</function></funcdef>
<paramdef>genUType <parameter>x</parameter></paramdef>
<paramdef>genUType <parameter>y</parameter></paramdef>
<paramdef>genBType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
<funcsynopsis>
<funcprototype>
<funcdef>genBType <function>mix</function></funcdef>
<paramdef>genBType <parameter>x</parameter></paramdef>
<paramdef>genBType <parameter>y</parameter></paramdef>
<paramdef>genBType <parameter>a</parameter></paramdef>
</funcprototype>
</funcsynopsis>
</refsynopsisdiv>
<refsect1 xml:id="parameters"><title>Parameters</title>
<variablelist>
<varlistentry>
<term><parameter>x</parameter></term>
<listitem>
<para>
Specify the start of the range in which to interpolate.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><parameter>y</parameter></term>
<listitem>
<para>
Specify the end of the range in which to interpolate.
</para>
</listitem>
</varlistentry>
<varlistentry>
<term><parameter>a</parameter></term>
<listitem>
<para>
Specify the value to use to interpolate between <parameter>x</parameter> and <parameter>y</parameter>.
</para>
</listitem>
</varlistentry>
</variablelist>
</refsect1>
<refsect1 xml:id="description"><title>Description</title>
<para>
<function>mix</function> performs a linear interpolation between
<parameter>x</parameter> and <parameter>y</parameter> using
<parameter>a</parameter> to weight between them. The return
value is computed as $x \times (1 - a) + y \times a$.
</para>
<para>
The variants of <function>mix</function> where
<parameter>a</parameter> is <constant>genBType</constant> select
which vector each returned component comes from. For a component
of <parameter>a</parameter> that is false, the corresponding
component of <parameter>x</parameter> is returned. For a
component of <parameter>a</parameter> that is true, the
corresponding component of <parameter>y</parameter> is returned.
Components of <parameter>x</parameter> and
<parameter>y</parameter> that are not selected are allowed to be
invalid floating-point values and will have no effect on the
results.
</para>
</refsect1>
<refsect1 xml:id="versions"><title>Version Support</title>
<informaltable>
<tgroup cols="13" align="left">
<xi:include xmlns:xi="http://www.w3.org/2001/XInclude" href="funchead.xml" xpointer="xpointer(/*/*)"/>
<tbody>
<row>
<entry>mix(genType)</entry>
<xi:include xmlns:xi="http://www.w3.org/2001/XInclude" href="version.xml" xpointer="xpointer(/*/*[@role='11']/*)"/>
</row>
<row>
<entry>mix(genDType)</entry>
<xi:include xmlns:xi="http://www.w3.org/2001/XInclude" href="version.xml" xpointer="xpointer(/*/*[@role='40']/*)"/>
</row>
<row>
<entry>mix(genIType), mix(genUType), mix(genBType)</entry>
<xi:include xmlns:xi="http://www.w3.org/2001/XInclude" href="version.xml" xpointer="xpointer(/*/*[@role='45']/*)"/>
</row>
</tbody>
</tgroup>
</informaltable>
</refsect1>
<refsect1 xml:id="seealso"><title>See Also</title>
<para>
<citerefentry><refentrytitle>min</refentrytitle></citerefentry>,
<citerefentry><refentrytitle>max</refentrytitle></citerefentry>
</para>
</refsect1>
<refsect1 xml:id="Copyright"><title>Copyright</title>
<para>
Copyright <trademark class="copyright"/> 2011-2014 Khronos Group.
This material may be distributed subject to the terms and conditions set forth in
the Open Publication License, v 1.0, 8 June 1999.
<link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://opencontent.org/openpub/">http://opencontent.org/openpub/</link>.
</para>
</refsect1>
</refentry>
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