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EquiDepthHistogram (Colt 1.2.0 - API Specification)
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cern.jet.stat.quantile</FONT>
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Class EquiDepthHistogram</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>
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<IMG SRC="../../../../resources/inherit.gif" ALT="extended by"><B>cern.jet.stat.quantile.EquiDepthHistogram</B>
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<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="http://java.sun.com/j2se/1.4/docs/api/java/io/Serializable.html" title="class or interface in java.io">Serializable</A></DD>
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<DT>public class <B>EquiDepthHistogram</B><DT>extends <A HREF="../../../../cern/colt/PersistentObject.html" title="class in cern.colt">PersistentObject</A></DL>
<P>
Read-only equi-depth histogram for selectivity estimation.
Assume you have collected statistics over a data set, among them a one-dimensional equi-depth histogram (quantiles).
Then an applications or DBMS might want to estimate the <i>selectivity</i> of some range query <tt>[from,to]</tt>, i.e. the percentage of data set elements contained in the query range.
This class does not collect equi-depth histograms but only space efficiently stores already produced histograms and provides operations for selectivity estimation.
Uses linear interpolation.
<p>
This class stores a list <tt>l</tt> of <tt>float</tt> values for which holds:
<li>Let <tt>v</tt> be a list of values (sorted ascending) an equi-depth histogram has been computed over.</li>
<li>Let <tt>s=l.length</tt>.</li>
<li>Let <tt>p=(0, 1/s-1), 2/s-1,..., s-1/s-1=1.0)</tt> be a list of the <tt>s</tt> percentages.</li>
<li>Then for each <tt>i=0..s-1: l[i] = e : v.contains(e) && v[0],..., v[p[i]*v.length] <= e</tt>.</li>
<li>(In particular: <tt>l[0]=min(v)=v[0]</tt> and <tt>l[s-1]=max(v)=v[s-1]</tt>.)</li>
<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.stat.quantile.EquiDepthHistogram">Serialized Form</A></DL>
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<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#EquiDepthHistogram(float[])">EquiDepthHistogram</A></B>(float[] quantileElements)</CODE>
<BR>
Constructs an equi-depth histogram with the given quantile elements.</TD>
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<CODE> int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#binOfElement(float)">binOfElement</A></B>(float element)</CODE>
<BR>
Returns the bin index of the given element.</TD>
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<CODE> int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#bins()">bins</A></B>()</CODE>
<BR>
Returns the number of bins.</TD>
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<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#endOfBin(int)">endOfBin</A></B>(int binIndex)</CODE>
<BR>
Returns the end of the range associated with the given bin.</TD>
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<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#percentFromTo(float, float)">percentFromTo</A></B>(float from,
float to)</CODE>
<BR>
Returns the percentage of elements in the range (from,to].</TD>
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<CODE> double</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#phi(float)">phi</A></B>(float element)</CODE>
<BR>
Returns how many percent of the elements contained in the receiver are <tt><= element</tt>.</TD>
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<CODE> int</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#size()">size</A></B>()</CODE>
<BR>
<B>Deprecated.</B> <I>Deprecated.
Returns the number of bin boundaries.</I></TD>
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<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#startOfBin(int)">startOfBin</A></B>(int binIndex)</CODE>
<BR>
Returns the start of the range associated with the given bin.</TD>
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<CODE>static void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/jet/stat/quantile/EquiDepthHistogram.html#test(float)">test</A></B>(float element)</CODE>
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Not yet commented.</TD>
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<A NAME="EquiDepthHistogram(float[])"><!-- --></A><H3>
EquiDepthHistogram</H3>
<PRE>
public <B>EquiDepthHistogram</B>(float[] quantileElements)</PRE>
<DL>
<DD>Constructs an equi-depth histogram with the given quantile elements.
Quantile elements must be sorted ascending and have the form specified in the class documentation.
<P>
</DL>
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<A NAME="binOfElement(float)"><!-- --></A><H3>
binOfElement</H3>
<PRE>
public int <B>binOfElement</B>(float element)</PRE>
<DL>
<DD>Returns the bin index of the given element.
In other words, returns a handle to the range the element falls into.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>element</CODE> - the element to search for.
<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 the element is not contained in any bin.</DL>
</DD>
</DL>
<HR>
<A NAME="bins()"><!-- --></A><H3>
bins</H3>
<PRE>
public int <B>bins</B>()</PRE>
<DL>
<DD>Returns the number of bins. In other words, returns the number of subdomains partitioning the entire value domain.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="endOfBin(int)"><!-- --></A><H3>
endOfBin</H3>
<PRE>
public float <B>endOfBin</B>(int binIndex)</PRE>
<DL>
<DD>Returns the end of the range associated with the given bin.
<P>
<DD><DL>
<DT><B>Throws:</B>
<DD><CODE><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/ArrayIndexOutOfBoundsException.html" title="class or interface in java.lang">ArrayIndexOutOfBoundsException</A></CODE> - if <tt>binIndex < 0 || binIndex >= bins()</tt>.</DL>
</DD>
</DL>
<HR>
<A NAME="percentFromTo(float, float)"><!-- --></A><H3>
percentFromTo</H3>
<PRE>
public double <B>percentFromTo</B>(float from,
float to)</PRE>
<DL>
<DD>Returns the percentage of elements in the range (from,to]. Does linear interpolation.
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>from</CODE> - the start point (exclusive).<DD><CODE>to</CODE> - the end point (inclusive).</DL>
</DD>
</DL>
<HR>
<A NAME="phi(float)"><!-- --></A><H3>
phi</H3>
<PRE>
public double <B>phi</B>(float element)</PRE>
<DL>
<DD>Returns how many percent of the elements contained in the receiver are <tt><= element</tt>.
Does linear interpolation.
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="size()"><!-- --></A><H3>
size</H3>
<PRE>
public int <B>size</B>()</PRE>
<DL>
<DD><B>Deprecated.</B> <I>Deprecated.
Returns the number of bin boundaries.</I>
<P>
<DD><DL>
</DL>
</DD>
</DL>
<HR>
<A NAME="startOfBin(int)"><!-- --></A><H3>
startOfBin</H3>
<PRE>
public float <B>startOfBin</B>(int binIndex)</PRE>
<DL>
<DD>Returns the start of the range associated with the given bin.
<P>
<DD><DL>
<DT><B>Throws:</B>
<DD><CODE><A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/ArrayIndexOutOfBoundsException.html" title="class or interface in java.lang">ArrayIndexOutOfBoundsException</A></CODE> - if <tt>binIndex < 0 || binIndex >= bins()</tt>.</DL>
</DD>
</DL>
<HR>
<A NAME="test(float)"><!-- --></A><H3>
test</H3>
<PRE>
public static void <B>test</B>(float element)</PRE>
<DL>
<DD>Not yet commented.
<P>
<DD><DL>
</DL>
</DD>
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