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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 1.5.0_03) on Fri Jun 03 16:24:23 CDT 2005 --><TITLE>MathUtil</TITLE><META NAME="keywords" CONTENT="MathUtil class"><LINK REL ="stylesheet" TYPE="text/css" HREF="stylesheet.css" TITLE="Style"><SCRIPT type="text/javascript">function windowTitle(){    parent.document.title="MathUtil";}</SCRIPT><NOSCRIPT></NOSCRIPT></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=2 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">    <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="help-doc.html"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A>&nbsp;</TD>  </TR></TABLE></TD><TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM></EM></TD></TR><TR><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">&nbsp;<A HREF="MainMenu.html" title="class in &lt;Unnamed&gt;"><B>PREV CLASS</B></A>&nbsp;&nbsp;<A HREF="Matrix.html" title="class in &lt;Unnamed&gt;"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2">  <A HREF="index.html?MathUtil.html" target="_top"><B>FRAMES</B></A>  &nbsp;&nbsp;<A HREF="MathUtil.html" target="_top"><B>NO FRAMES</B></A>  &nbsp;&nbsp;<SCRIPT type="text/javascript">  <!--  if(window==top) {    document.writeln('<A HREF="allclasses-noframe.html"><B>All Classes</B></A>');  }  //--></SCRIPT><NOSCRIPT>  <A HREF="allclasses-noframe.html"><B>All Classes</B></A></NOSCRIPT></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">  SUMMARY:&nbsp;NESTED&nbsp;|&nbsp;<A HREF="#field_summary">FIELD</A>&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;<A HREF="#field_detail">FIELD</A>&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>Class MathUtil</H2><PRE>java.lang.Object  <IMG SRC="./resources/inherit.gif" ALT="extended by "><B>MathUtil</B></PRE><HR><DL><DT><PRE>public class <B>MathUtil</B><DT>extends java.lang.Object</DL></PRE><P>class that round off floating point numbers to the specified number of decimal places givem<P><P><HR><P><!-- =========== FIELD SUMMARY =========== --><A NAME="field_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"><B>Field Summary</B></FONT></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;long</CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#RAND_SEED">RAND_SEED</A></B></CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;java.util.Random</CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#random">random</A></B></CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</TD></TR></TABLE>&nbsp;<!-- ======== CONSTRUCTOR SUMMARY ======== --><A NAME="constructor_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"><B>Constructor Summary</B></FONT></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE><B><A HREF="MathUtil.html#MathUtil()">MathUtil</A></B>()</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Default constructor.</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"><TH ALIGN="left" COLSPAN="2"><FONT SIZE="+2"><B>Method Summary</B></FONT></TH></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;boolean</CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#almostEqual(double, double)">almostEqual</A></B>(double&nbsp;val1,            double&nbsp;val2)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;method sees if input doubles are "almost" equal</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;boolean</CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#almostEqual(java.util.Vector, double)">almostEqual</A></B>(java.util.Vector&nbsp;vec1,            double&nbsp;val2)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;method sees if input vectors are "almost" equal</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;boolean</CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#almostEqual(java.util.Vector, java.util.Vector)">almostEqual</A></B>(java.util.Vector&nbsp;vec1,            java.util.Vector&nbsp;vec2)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;method sees if input vectors are "almost" equal</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="MathUtil.html#betweenClass(DataPoints, Matrix, double, double)">betweenClass</A></B>(<A HREF="DataPoints.html" title="class in &lt;Unnamed&gt;">DataPoints</A>&nbsp;d,             <A HREF="Matrix.html" title="class in &lt;Unnamed&gt;">Matrix</A>&nbsp;M,             double&nbsp;rx_a,             double&nbsp;ry_a)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;this method determines the between class scatter matrix for the class independent linear discrimination algorithm</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;<A HREF="MyPoint.html" title="class in &lt;Unnamed&gt;">MyPoint</A></CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#computeClusterMean(java.util.Vector)">computeClusterMean</A></B>(java.util.Vector&nbsp;vec)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;methods computes and returns the mean of the given cluster</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;<A HREF="MyPoint.html" title="class in &lt;Unnamed&gt;">MyPoint</A></CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#computeMyPointMean(java.util.Vector)">computeMyPointMean</A></B>(java.util.Vector&nbsp;vec)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;methods computes and returns the mean of the given cluster</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static&nbsp;<A HREF="MyPoint.html" title="class in &lt;Unnamed&gt;">MyPoint</A></CODE></FONT></TD><TD><CODE><B><A HREF="MathUtil.html#computePointMean(java.util.Vector)">computePointMean</A></B>(java.util.Vector&nbsp;vec)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;methods computes and returns the mean of the given cluster</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="MathUtil.html#copyVector(java.util.Vector, java.util.Vector, int, int, int)">copyVector</A></B>(java.util.Vector&lt;java.lang.Double&gt;&nbsp;vec1_a,           java.util.Vector&lt;java.lang.Double&gt;&nbsp;vec2_a,           int&nbsp;length_a,           int&nbsp;index1_a,           int&nbsp;index2_a)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Copies vector given specific parameters</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="MathUtil.html#distance(double, double, double, double)">distance</A></B>(double&nbsp;x1,         double&nbsp;y1,         double&nbsp;x2,         double&nbsp;y2)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;calculate the euclidean distance between the two points</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="MathUtil.html#doubleValue(java.util.Vector, int)">doubleValue</A></B>(java.util.Vector&lt;java.lang.Double&gt;&nbsp;vec_a,            int&nbsp;index_a)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;gets the double value of the input vector at the index passed</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="MathUtil.html#grand(double, double)">grand</A></B>(double&nbsp;mean,      double&nbsp;stddev)</CODE><BR>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;method generates a random distribution centered about the mean with a variance that is specified by the standard deviation.</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="MathUtil.html#initDoubleVector(java.util.Vector, double)">initDoubleVector</A></B>(java.util.Vector&lt;java.lang.Double&gt;&nbsp;vec_a,                 double&nbsp;value_a)</CODE>

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