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  <refnamediv>
    <refname>distfun_normrnd</refname>
    <refpurpose>Normal random numbers</refpurpose>
  </refnamediv>


<refsynopsisdiv>
   <title>Calling Sequence</title>
   <synopsis>
   x = distfun_normrnd ( mu , sigma )
   x = distfun_normrnd ( mu , sigma , [m,n] )
   x = distfun_normrnd ( mu , sigma , m , n )
   
   </synopsis>
</refsynopsisdiv>

<refsection>
   <title>Parameters</title>
   <variablelist>
   <varlistentry><term>mu :</term>
      <listitem><para> a matrix of doubles, the average</para></listitem></varlistentry>
   <varlistentry><term>sigma :</term>
      <listitem><para> a matrix of doubles, the standard deviation. sigma>0.</para></listitem></varlistentry>
   <varlistentry><term>m :</term>
      <listitem><para> a 1-by-1 matrix of floating point integers, the number of rows of x</para></listitem></varlistentry>
   <varlistentry><term>n :</term>
      <listitem><para> a 1-by-1 matrix of floating point integers, the number of columns of x</para></listitem></varlistentry>
   <varlistentry><term>x:</term>
      <listitem><para> a matrix of doubles, the random numbers.</para></listitem></varlistentry>
   </variablelist>
</refsection>

<refsection>
   <title>Description</title>
   <para>
Generates random variables from the Normal distribution function.
   </para>
   <para>
Any scalar input argument is expanded to a matrix of doubles of
the same size as the other input arguments.
   </para>
   <para>
</para>
</refsection>

<refsection>
   <title>Examples</title>
   <programlisting role="example"><![CDATA[
// Test both mu and sigma expanded
x = distfun_normrnd(1:6,(1:6).^-1)

// Test sigma expansion
x = distfun_normrnd(1:6,2.0)

// Test mu expansion
x = distfun_normrnd(1.0,1:6)

// Test with v
x = distfun_normrnd(0,1,[3 2])

// Test with m, n
x = distfun_normrnd(0,1,3,2)

// Make a plot of the actual distribution of the numbers
mu = 2;
sigma = 3;
scf();
x = distfun_normrnd(mu,sigma,1,1000);
histplot(10,x)
x = linspace(-10,10,1000);
y = distfun_normpdf(x,mu,sigma);
plot(x,y)
xtitle("Normal Random Numbers","X","Density")
legend(["Empirical","PDF"]);

   ]]></programlisting>
</refsection>

<refsection>
   <title>Authors</title>
   <simplelist type="vert">
   <member>Copyright (C) 2009 - 2011 - DIGITEO - Michael Baudin</member>
   <member>Copyright (C) 2012 - 2014 - Michael Baudin</member>
   </simplelist>
</refsection>
</refentry>
