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cern.jet.random</FONT>
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Class Empirical</H2>
<PRE>
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../resources/inherit.gif" ALT="extended by"><A HREF="../../../cern/colt/PersistentObject.html" title="class in cern.colt">cern.colt.PersistentObject</A>
      <IMG SRC="../../../resources/inherit.gif" ALT="extended by"><A HREF="../../../cern/jet/random/AbstractDistribution.html" title="class in cern.jet.random">cern.jet.random.AbstractDistribution</A>
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              <IMG SRC="../../../resources/inherit.gif" ALT="extended by"><B>cern.jet.random.Empirical</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Cloneable.html" title="class or interface in java.lang">Cloneable</A>, <A HREF="../../../cern/colt/function/DoubleFunction.html" title="interface in cern.colt.function">DoubleFunction</A>, <A HREF="../../../cern/colt/function/IntFunction.html" title="interface in cern.colt.function">IntFunction</A>, <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/io/Serializable.html" title="class or interface in java.io">Serializable</A></DD>
</DL>
<HR>
<DL>
<DT>public class <B>Empirical</B><DT>extends <A HREF="../../../cern/jet/random/AbstractContinousDistribution.html" title="class in cern.jet.random">AbstractContinousDistribution</A></DL>

<P>
Empirical distribution.
 <p>
 The probability distribution function (pdf) must be provided by the user as an array of positive real numbers. 
 The pdf does not need to be provided in the form of relative probabilities, absolute probabilities are also accepted.
 <p>
 If <tt>interpolationType == LINEAR_INTERPOLATION</tt> a linear interpolation within the bin is computed, resulting in a constant density within each bin.
 <dt>
 If <tt>interpolationType == NO_INTERPOLATION</tt> no interpolation is performed and the result is a discrete distribution.  
 <p>
 Instance methods operate on a user supplied uniform random number generator; they are unsynchronized.
 <dt>
 Static methods operate on a default uniform random number generator; they are synchronized.
 <p>
 <b>Implementation:</b>
 A uniform random number is generated using a user supplied generator.
 The uniform number is then transformed to the user's distribution using the cumulative probability distribution constructed from the pdf.
 The cumulative distribution is inverted using a binary search for the nearest bin boundary. 
 <p>
 This is a port of <A HREF="http://wwwinfo.cern.ch/asd/lhc++/clhep/manual/RefGuide/Random/RandGeneral.html">RandGeneral</A> used in <A HREF="http://wwwinfo.cern.ch/asd/lhc++/clhep">CLHEP 1.4.0</A> (C++).
<P>

<P>
<DL>
<DT><B>Version:</B></DT>
  <DD>1.0, 09/24/99</DD>
<DT><B>See Also:</B><DD><A HREF="../../../serialized-form.html#cern.jet.random.Empirical">Serialized Form</A></DL>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>static&nbsp;int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#LINEAR_INTERPOLATION">LINEAR_INTERPOLATION</A></B></CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<CODE>static&nbsp;int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#NO_INTERPOLATION">NO_INTERPOLATION</A></B></CODE>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD>
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<TD><B>Fields inherited from class cern.colt.<A HREF="../../../cern/colt/PersistentObject.html" title="class in cern.colt">PersistentObject</A></B></TD>
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<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#Empirical(double[], int, cern.jet.random.engine.RandomEngine)">Empirical</A></B>(double[]&nbsp;pdf,
          int&nbsp;interpolationType,
          <A HREF="../../../cern/jet/random/engine/RandomEngine.html" title="class in cern.jet.random.engine">RandomEngine</A>&nbsp;randomGenerator)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Constructs an Empirical distribution.</TD>
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<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#cdf(int)">cdf</A></B>(int&nbsp;k)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the cumulative distribution function.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#clone()">clone</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a deep copy of the receiver; the copy will produce identical sequences.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#nextDouble()">nextDouble</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a random number from the distribution.</TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#pdf(double)">pdf</A></B>(double&nbsp;x)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the probability distribution function.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#pdf(int)">pdf</A></B>(int&nbsp;k)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns the probability distribution function.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#setState(double[], int)">setState</A></B>(double[]&nbsp;pdf,
         int&nbsp;interpolationType)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Sets the distribution parameters.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>&nbsp;<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/String.html" title="class or interface in java.lang">String</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../cern/jet/random/Empirical.html#toString()">toString</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns a String representation of the receiver.</TD>
</TR>
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&nbsp;<A NAME="methods_inherited_from_class_cern.jet.random.AbstractDistribution"></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TD><B>Methods inherited from class cern.jet.random.<A HREF="../../../cern/jet/random/AbstractDistribution.html" title="class in cern.jet.random">AbstractDistribution</A></B></TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../cern/jet/random/AbstractDistribution.html#apply(double)">apply</A>, <A HREF="../../../cern/jet/random/AbstractDistribution.html#apply(int)">apply</A>, <A HREF="../../../cern/jet/random/AbstractDistribution.html#makeDefaultGenerator()">makeDefaultGenerator</A>, <A HREF="../../../cern/jet/random/AbstractDistribution.html#nextInt()">nextInt</A></CODE></TD>
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<A NAME="LINEAR_INTERPOLATION"></A><H3>
LINEAR_INTERPOLATION</H3>
<PRE>
public static final int <B>LINEAR_INTERPOLATION</B></PRE>
<DL>
<DL>
<DT><B>See Also:</B><DD><A HREF="../../../constant-values.html#cern.jet.random.Empirical.LINEAR_INTERPOLATION">Constant Field Values</A></DL>
</DL>
<HR>

<A NAME="NO_INTERPOLATION"></A><H3>
NO_INTERPOLATION</H3>
<PRE>
public static final int <B>NO_INTERPOLATION</B></PRE>
<DL>
<DL>
<DT><B>See Also:</B><DD><A HREF="../../../constant-values.html#cern.jet.random.Empirical.NO_INTERPOLATION">Constant Field Values</A></DL>
</DL>

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<A NAME="Empirical(double[], int, cern.jet.random.engine.RandomEngine)"></A><H3>
Empirical</H3>
<PRE>
public <B>Empirical</B>(double[]&nbsp;pdf,
                 int&nbsp;interpolationType,
                 <A HREF="../../../cern/jet/random/engine/RandomEngine.html" title="class in cern.jet.random.engine">RandomEngine</A>&nbsp;randomGenerator)</PRE>
<DL>
<DD>Constructs an Empirical distribution.
 The probability distribution function (pdf) is an array of positive real numbers. 
 It need not be provided in the form of relative probabilities, absolute probabilities are also accepted.
 The <tt>pdf</tt> must satisfy both of the following conditions
 <ul>
 <li><tt>0.0 &lt;= pdf[i] : 0&lt;=i&lt;=pdf.length-1</tt>
 <li><tt>0.0 &lt; Sum(pdf[i]) : 0&lt;=i&lt;=pdf.length-1</tt>
 </ul>
<P>
<DT><B>Parameters:</B><DD><CODE>pdf</CODE> - the probability distribution function.<DD><CODE>interpolationType</CODE> - can be either <tt>Empirical.NO_INTERPOLATION</tt> or <tt>Empirical.LINEAR_INTERPOLATION</tt>.<DD><CODE>randomGenerator</CODE> - a uniform random number generator.
<DT><B>Throws:</B>
<DD><CODE><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/IllegalArgumentException.html" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if at least one of the three conditions above is violated.</DL>

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<A NAME="cdf(int)"></A><H3>
cdf</H3>
<PRE>
public double <B>cdf</B>(int&nbsp;k)</PRE>
<DL>
<DD>Returns the cumulative distribution function.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="clone()"></A><H3>
clone</H3>
<PRE>
public <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A> <B>clone</B>()</PRE>
<DL>
<DD>Returns a deep copy of the receiver; the copy will produce identical sequences.
 After this call has returned, the copy and the receiver have equal but separate state.
<P>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE><A HREF="../../../cern/jet/random/AbstractDistribution.html#clone()">clone</A></CODE> in class <CODE><A HREF="../../../cern/jet/random/AbstractDistribution.html" title="class in cern.jet.random">AbstractDistribution</A></CODE></DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>a copy of the receiver.</DL>
</DD>
</DL>
<HR>

<A NAME="nextDouble()"></A><H3>
nextDouble</H3>
<PRE>
public double <B>nextDouble</B>()</PRE>
<DL>
<DD>Returns a random number from the distribution.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../cern/jet/random/AbstractDistribution.html#nextDouble()">nextDouble</A></CODE> in class <CODE><A HREF="../../../cern/jet/random/AbstractDistribution.html" title="class in cern.jet.random">AbstractDistribution</A></CODE></DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="pdf(double)"></A><H3>
pdf</H3>
<PRE>
public double <B>pdf</B>(double&nbsp;x)</PRE>
<DL>
<DD>Returns the probability distribution function.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="pdf(int)"></A><H3>
pdf</H3>
<PRE>
public double <B>pdf</B>(int&nbsp;k)</PRE>
<DL>
<DD>Returns the probability distribution function.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="setState(double[], int)"></A><H3>
setState</H3>
<PRE>
public void <B>setState</B>(double[]&nbsp;pdf,
                     int&nbsp;interpolationType)</PRE>
<DL>
<DD>Sets the distribution parameters.
 The <tt>pdf</tt> must satisfy both of the following conditions
 <ul>
 <li><tt>0.0 &lt;= pdf[i] : 0 &lt; =i &lt;= pdf.length-1</tt>
 <li><tt>0.0 &lt; Sum(pdf[i]) : 0 &lt;=i &lt;= pdf.length-1</tt>
 </ul>
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>pdf</CODE> - probability distribution function.<DD><CODE>interpolationType</CODE> - can be either <tt>Empirical.NO_INTERPOLATION</tt> or <tt>Empirical.LINEAR_INTERPOLATION</tt>.
<DT><B>Throws:</B>
<DD><CODE><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/IllegalArgumentException.html" title="class or interface in java.lang">IllegalArgumentException</A></CODE> - if at least one of the three conditions above is violated.</DL>
</DD>
</DL>
<HR>

<A NAME="toString()"></A><H3>
toString</H3>
<PRE>
public <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/String.html" title="class or interface in java.lang">String</A> <B>toString</B>()</PRE>
<DL>
<DD>Returns a String representation of the receiver.
<P>
<DD><DL>
</DL>
</DD>
</DL>

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Rabbit simulation

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