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<?xml version="1.0" encoding="UTF-8"?>
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="boolean">
<info>
<pubdate>$LastChangedDate$</pubdate>
</info>
<refnamediv>
<refname>boolean</refname>
<refpurpose> Scilab Objects, boolean variables and operators & | ~ </refpurpose>
</refnamediv>
<refsection>
<title>Description</title>
<para>
A boolean variable is <literal>%T</literal> (for "true") or <literal>%F</literal> (for "false").
These variables can be used to define matrices of booleans,
with the usual syntax. Boolean matrices can be manipulated as ordinary
matrices for elements extraction/insertion and concatenation. Note
that other usual operations (<literal>+, *, -, ^,</literal> etc) are undefined
for booleans matrices, three special operators are defined for boolean
matrices:
</para>
<variablelist>
<varlistentry>
<term>~b</term>
<listitem>
<para>is the element wise negation of boolean <literal>b</literal> (matrix).</para>
</listitem>
</varlistentry>
<varlistentry>
<term>b1&b2</term>
<listitem>
<para>is the element wise logical <literal>and</literal> of <literal>b1</literal> and <literal>b2</literal> (matrices).</para>
</listitem>
</varlistentry>
<varlistentry>
<term>b1|b2</term>
<listitem>
<para>is the element wise logical <literal>or</literal> of <literal>b1</literal> and <literal>b2</literal> (matrices).</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Boolean variables can be used for indexing matrices or vectors.</term>
<listitem>
<para>For instance <literal>a([%T,%F,%T],:)</literal> returns the submatrix made of rows <literal>1</literal> and <literal>3</literal> of <literal>a</literal>. Boolean sparse matrices are supported.</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
[1,2]==[1,3]
[1,2]==1
a=1:5; a(a>2)
]]></programlisting>
</refsection>
<refsection>
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="matrices">matrices</link>
</member>
<member>
<link linkend="or">or</link>
</member>
<member>
<link linkend="and">and</link>
</member>
<member>
<link linkend="not">not</link>
</member>
</simplelist>
</refsection>
</refentry>
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