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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"><!--NewPage--><HTML><HEAD><!-- Generated by javadoc (build 1.4.2_05) on Mon Mar 07 15:27:48 NZDT 2005 --><TITLE>SpecialFunctions</TITLE><META NAME="keywords" CONTENT="weka.core.SpecialFunctions class"><LINK REL ="stylesheet" TYPE="text/css" HREF="../../stylesheet.css" TITLE="Style"><SCRIPT type="text/javascript">function windowTitle(){    parent.document.title="SpecialFunctions";}</SCRIPT></HEAD><BODY BGCOLOR="white" onload="windowTitle();"><!-- ========= START OF TOP NAVBAR ======= --><A NAME="navbar_top"><!-- --></A><A HREF="#skip-navbar_top" title="Skip navigation links"></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""><TR><TD COLSPAN=3 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_top_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">  <TR ALIGN="center" VALIGN="top">  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">   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SIZE="-2">  SUMMARY:&nbsp;NESTED&nbsp;|&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_summary">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_summary">METHOD</A></FONT></TD><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">DETAIL:&nbsp;FIELD&nbsp;|&nbsp;<A HREF="#constructor_detail">CONSTR</A>&nbsp;|&nbsp;<A HREF="#method_detail">METHOD</A></FONT></TD></TR></TABLE><A NAME="skip-navbar_top"></A><!-- ========= END OF TOP NAVBAR ========= --><HR><!-- ======== START OF CLASS DATA ======== --><H2><FONT SIZE="-1">weka.core</FONT><BR>Class SpecialFunctions</H2><PRE>java.lang.Object  <IMG SRC="../../resources/inherit.gif" ALT="extended by"><B>weka.core.SpecialFunctions</B></PRE><HR><DL><DT>public final class <B>SpecialFunctions</B><DT>extends java.lang.Object</DL><P>Class implementing some mathematical functions.<P><P><DL><DT><B>Version:</B></DT>  <DD>$Revision: 1.6 $</DD><DT><B>Author:</B></DT>  <DD>Eibe Frank (eibe@cs.waikato.ac.nz)</DD></DL><HR><P><!-- ======== NESTED CLASS SUMMARY ======== --><!-- =========== FIELD SUMMARY =========== --><!-- ======== CONSTRUCTOR SUMMARY ======== --><A NAME="constructor_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Constructor Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE><B><A HREF="../../weka/core/SpecialFunctions.html#SpecialFunctions()">SpecialFunctions</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD></TR></TABLE>&nbsp;<!-- ========== METHOD SUMMARY =========== --><A NAME="method_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Method Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;double</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/core/SpecialFunctions.html#lnFactorial(double)">lnFactorial</A></B>(double&nbsp;x)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns natural logarithm of factorial using gamma function.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;double</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/core/SpecialFunctions.html#log2Binomial(double, double)">log2Binomial</A></B>(double&nbsp;a,             double&nbsp;b)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns base 2 logarithm of binomial coefficient using gamma function.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;double</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/core/SpecialFunctions.html#log2Multinomial(double, double[])">log2Multinomial</A></B>(double&nbsp;a,                double[]&nbsp;bs)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Returns base 2 logarithm of multinomial using gamma function.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;void</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/core/SpecialFunctions.html#main(java.lang.String[])">main</A></B>(java.lang.String[]&nbsp;ops)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Main method for testing this class.</TD></TR></TABLE>&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor"><TD><B>Methods inherited from class java.lang.Object</B></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE>equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</CODE></TD></TR></TABLE>&nbsp;<P><!-- ============ FIELD DETAIL =========== --><!-- ========= CONSTRUCTOR DETAIL ======== --><A NAME="constructor_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=1><FONT SIZE="+2"><B>Constructor Detail</B></FONT></TD></TR></TABLE><A NAME="SpecialFunctions()"><!-- --></A><H3>SpecialFunctions</H3><PRE>public <B>SpecialFunctions</B>()</PRE><DL></DL><!-- ============ METHOD DETAIL ========== --><A NAME="method_detail"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=1><FONT SIZE="+2"><B>Method Detail</B></FONT></TD></TR></TABLE><A NAME="lnFactorial(double)"><!-- --></A><H3>lnFactorial</H3><PRE>public static double <B>lnFactorial</B>(double&nbsp;x)</PRE><DL><DD>Returns natural logarithm of factorial using gamma function.<P><DD><DL><DT><B>Parameters:</B><DD><CODE>x</CODE> - the value<DT><B>Returns:</B><DD>natural logarithm of factorial</DL></DD></DL><HR><A NAME="log2Binomial(double, double)"><!-- --></A><H3>log2Binomial</H3><PRE>public static double <B>log2Binomial</B>(double&nbsp;a,                                  double&nbsp;b)</PRE><DL><DD>Returns base 2 logarithm of binomial coefficient using gamma function.<P><DD><DL><DT><B>Parameters:</B><DD><CODE>a</CODE> - upper part of binomial coefficient<DD><CODE>b</CODE> - lower part<DT><B>Returns:</B><DD>the base 2 logarithm of the binominal coefficient a over b</DL></DD></DL><HR><A NAME="log2Multinomial(double, double[])"><!-- --></A><H3>log2Multinomial</H3><PRE>public static double <B>log2Multinomial</B>(double&nbsp;a,                                     double[]&nbsp;bs)</PRE><DL><DD>Returns base 2 logarithm of multinomial using gamma function.<P><DD><DL><DT><B>Parameters:</B><DD><CODE>a</CODE> - upper part of multinomial coefficient<DD><CODE>bs</CODE> - lower part<DT><B>Returns:</B><DD>multinomial coefficient of a over the bs</DL></DD></DL><HR><A NAME="main(java.lang.String[])"><!-- --></A><H3>main</H3><PRE>public static void <B>main</B>(java.lang.String[]&nbsp;ops)</PRE><DL><DD>Main method for testing this class.<P><DD><DL></DL></DD></DL><!-- ========= END OF CLASS DATA ========= --><HR><!-- ======= START OF BOTTOM NAVBAR ====== --><A NAME="navbar_bottom"><!-- --></A><A HREF="#skip-navbar_bottom" title="Skip navigation links"></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""><TR><TD COLSPAN=3 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_bottom_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY="">  <TR ALIGN="center" VALIGN="top">  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A>&nbsp;</TD>  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A>&nbsp;</TD>  <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> &nbsp;<FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT>&nbsp;</TD>  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A>&nbsp;</TD>  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A>&nbsp;</TD>  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A>&nbsp;</TD>  <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1">    <A HREF="../../../Tutorial.pdf"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A>&nbsp;</TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="http://www.cs.waikato.ac.nz/ml/weka/index.html"><FONT CLASS="NavBarFont1"><B>Weka's home</B></FONT></A>&nbsp;</TD>  </TR></TABLE></TD><TD ALIGN="right" VALIGN="top" 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