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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008 - INRIA
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
-->
<refentry version="5.0-subset Scilab" xml:id="intersect" xml:lang="en"
xmlns="http://docbook.org/ns/docbook"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:ns5="http://www.w3.org/1999/xhtml"
xmlns:mml="http://www.w3.org/1998/Math/MathML"
xmlns:db="http://docbook.org/ns/docbook">
<info>
<pubdate>$LastChangedDate$</pubdate>
</info>
<refnamediv>
<refname>intersect</refname>
<refpurpose>returns the vector of common values of two
vectors</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
[v [,ka,kb]]=intersect(a,b)
[v [,ka,kb]]=intersect(a,b,orient)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry>
<term>a</term>
<listitem>
<para>vector of numbers or strings</para>
</listitem>
</varlistentry>
<varlistentry>
<term>b</term>
<listitem>
<para>vector of numbers or strings</para>
</listitem>
</varlistentry>
<varlistentry>
<term>orient</term>
<listitem>
<para>flag with possible values : 1 or "r", 2 or "c"</para>
</listitem>
</varlistentry>
<varlistentry>
<term>v</term>
<listitem>
<para>row vector of numbers or strings</para>
</listitem>
</varlistentry>
<varlistentry>
<term>ka</term>
<listitem>
<para>row vector of integers</para>
</listitem>
</varlistentry>
<varlistentry>
<term>kb</term>
<listitem>
<para>row vector of integers</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para><literal>intersect(a,b)</literal> returns a sorted row vector of
common values of two vectors of <literal>a</literal> and
<literal>b</literal>.</para>
<para><literal>[v,ka,kb]=intersect(a,b)</literal> also returns index
vectors <literal>ka</literal> and <literal>kb</literal> such that
<literal>v=a(ka)</literal> and <literal>v=b(kb)</literal>.</para>
<para><literal>intersect(a,b,"r")</literal> or
<literal>intersect(a,b,1)</literal>returns the matrix formed by the
intersection of the unique rows of <literal>a</literal> and
<literal>b</literal> sorted in lexicographic ascending order. In this case
matrices <literal>a</literal> and <literal>b</literal> must have the same
number of columns.</para>
<para><literal>[v,ka,kb]=intersect(a,b,"r")</literal> also returns index
vectors <literal>ka</literal> and <literal>kb</literal> such that
<literal>v=a(ka,:)</literal> and <literal>v=b(kb,:)</literal>.</para>
<para><literal>intersect(a,b,"c")</literal> or
<literal>intersect(a,b,2)</literal>returns the matrix formed by the
intersection of the unique columns of <literal>a</literal> and
<literal>b</literal> sorted in lexicographic ascending order. In this case
matrices <literal>a</literal> and <literal>b</literal> must have the same
number of rows.</para>
<para><literal>[v,ka,kb]=intersect(a,b,"c")</literal> also returns index
vectors <literal>ka</literal> and <literal>kb</literal> such that
<literal>v=a(:,ka)</literal> and <literal>v=b(:,kb)</literal>.</para>
</refsection>
<refsection>
<title>Remark</title>
<para>NaN are considered as different from themselves so they are excluded
out of intersection in case of vector intersection.</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
A=round(5*rand(10,1));
B=round(5*rand(7,1));
intersect(A,B)
[N,ka,kb]=intersect(A,B)
intersect('a'+string(A),'a'+string(B))
intersect(int16(A),int16(B))
//with matrices
A = [0,0,1,1 1;
0,1,1,1,1;
2,0,1,1,1;
0,2,2,2,2;
2,0,1,1,1;
0,0,1,1,%nan];
B = [1,0,1;
1,0,2;
1,2,3;
2,0,4;
1,2,5;
%nan,0,6];
[v,ka,kb] = intersect(A,B,'c')
A(:,ka)
]]></programlisting>
</refsection>
<refsection>
<title>See Also</title>
<simplelist type="inline">
<member><link linkend="unique">unique</link></member>
<member><link linkend="gsort">gsort</link></member>
<member><link linkend="union">union</link></member>
</simplelist>
</refsection>
</refentry>
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