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<?xml version="1.0" encoding="UTF-8"?>

<!--
 *
 * This help file was generated from cplxreal.sci using help_from_sci().
 *
 -->

<refentry version="5.0-subset Scilab" xml:id="cplxreal" 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:ns3="http://www.w3.org/1999/xhtml"
          xmlns:mml="http://www.w3.org/1998/Math/MathML"
          xmlns:scilab="http://www.scilab.org"
          xmlns:db="http://docbook.org/ns/docbook">

  <refnamediv>
    <refname>cplxreal</refname>
    <refpurpose>Function to divide vector z into complex and real elements, removing the one of each complex conjugate pair.</refpurpose>
  </refnamediv>


<refsynopsisdiv>
   <title>Calling Sequence</title>
   <synopsis>
   [zc, zr] = cplxreal (z, thresh)
   [zc, zr] = cplxreal (z)
   zc = cplxreal (z, thresh)
   zc = cplxreal (z)
   </synopsis>
</refsynopsisdiv>

<refsection>
   <title>Parameters</title>
   <variablelist>
   <varlistentry><term>z:</term>
      <listitem><para> vector of complex numbers.</para></listitem></varlistentry>
   <varlistentry><term>thresh:</term>
      <listitem><para> tolerance for comparisons.</para></listitem></varlistentry>
   <varlistentry><term>zc:</term>
      <listitem><para> vector containing the elements of z that have positive imaginary parts.</para></listitem></varlistentry>
   <varlistentry><term>zr:</term>
      <listitem><para> vector containing the elements of z that are real.</para></listitem></varlistentry>
   </variablelist>
</refsection>

<refsection>
   <title>Description</title>
   <para>
This is an Octave function.
Every complex element of z is expected to have a complex-conjugate elsewhere in z. From the pair of complex-conjugates, the one with the negative imaginary part is removed.
If the magnitude of the imaginary part of an element is less than the thresh, it is declared as real.
</para>
</refsection>

<refsection>
   <title>Examples</title>
   <programlisting role="example"><![CDATA[
[zc, zr] = cplxreal([1 2 3+i 4 3-i 5])
zc =  3 + 1i
zr =
1   2   4   5
   ]]></programlisting>
</refsection>
</refentry>