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Partitioning (Colt 1.2.0 - API Specification)
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cern.colt.matrix.objectalgo</FONT>
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Class Partitioning</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"><B>cern.colt.matrix.objectalgo.Partitioning</B>
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<DL>
<DT>public class <B>Partitioning</B><DT>extends <A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A></DL>
<P>
Given some interval boundaries, partitions matrices such that cell values falling into an interval are placed next to each other.
<p>
<b>Performance</b>
<p>
Partitioning into two intervals is <tt>O( N )</tt>.
Partitioning into k intervals is <tt>O( N * log(k))</tt>.
Constants factors are minimized.
<P>
<P>
<DL>
<DT><B>Version:</B></DT>
<DD>1.0, 09/24/99</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../cern/colt/Partitioning.html" title="class in cern.colt"><CODE>"Partitioning arrays (provides more documentation)"</CODE></A></DL>
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<CODE>static void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/objectalgo/Partitioning.html#partition(cern.colt.matrix.ObjectMatrix2D, int[], int, int, int, java.lang.Object[], int, int, int[])">partition</A></B>(<A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A> matrix,
int[] rowIndexes,
int rowFrom,
int rowTo,
int column,
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] splitters,
int splitFrom,
int splitTo,
int[] splitIndexes)</CODE>
<BR>
Same as <A HREF="../../../../cern/colt/Partitioning.html#partition(int[], int, int, int[], int, int, int[])"><CODE>Partitioning.partition(int[],int,int,int[],int,int,int[])</CODE></A>
except that it <i>synchronously</i> partitions the rows of the given matrix by the values of the given matrix column;
This is essentially the same as partitioning a list of composite objects by some instance variable;
In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.</TD>
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<CODE>static <A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../cern/colt/matrix/objectalgo/Partitioning.html#partition(cern.colt.matrix.ObjectMatrix2D, int, java.lang.Object[], int[])">partition</A></B>(<A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A> matrix,
int column,
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] splitters,
int[] splitIndexes)</CODE>
<BR>
Same as <A HREF="../../../../cern/colt/Partitioning.html#partition(int[], int, int, int[], int, int, int[])"><CODE>Partitioning.partition(int[],int,int,int[],int,int,int[])</CODE></A>
except that it <i>synchronously</i> partitions the rows of the given matrix by the values of the given matrix column;
This is essentially the same as partitioning a list of composite objects by some instance variable;
In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.</TD>
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<A NAME="partition(cern.colt.matrix.ObjectMatrix2D, int[], int, int, int, java.lang.Object[], int, int, int[])"><!-- --></A><H3>
partition</H3>
<PRE>
public static void <B>partition</B>(<A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A> matrix,
int[] rowIndexes,
int rowFrom,
int rowTo,
int column,
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] splitters,
int splitFrom,
int splitTo,
int[] splitIndexes)</PRE>
<DL>
<DD>Same as <A HREF="../../../../cern/colt/Partitioning.html#partition(int[], int, int, int[], int, int, int[])"><CODE>Partitioning.partition(int[],int,int,int[],int,int,int[])</CODE></A>
except that it <i>synchronously</i> partitions the rows of the given matrix by the values of the given matrix column;
This is essentially the same as partitioning a list of composite objects by some instance variable;
In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
<p>
Let's say, a "row" is an "object" (tuple, d-dimensional point).
A "column" is the list of "object" values of a given variable (field, dimension).
A "matrix" is a list of "objects" (tuples, points).
<p>
Now, rows (objects, tuples) are partially sorted according to their values in one given variable (dimension).
Two entire rows of the matrix are swapped, whenever two column values indicate so.
<p>
Note that arguments are not checked for validity.
<p>
<b>Example:</b>
<table border="1" cellspacing="0">
<tr nowrap>
<td valign="top"><tt>8 x 3 matrix:<br>
23, 22, 21<br>
20, 19, 18<br>
17, 16, 15<br>
14, 13, 12<br>
11, 10, 9<br>
8, 7, 6<br>
5, 4, 3<br>
2, 1, 0 </tt></td>
<td align="left" valign="top">
<p><tt>column = 0;<br>
rowIndexes = {0,1,2,..,matrix.rows()-1};
rowFrom = 0;<br>
rowTo = matrix.rows()-1;<br>
splitters = {5,10,12}<br>
c = 0; <br>
d = splitters.length-1;<br>
partition(matrix,rowIndexes,rowFrom,rowTo,column,splitters,c,d,splitIndexes);<br>
==><br>
splitIndexes == {0, 2, 3}<br>
rowIndexes == {7, 6, 5, 4, 0, 1, 2, 3}</tt></p>
</td>
<td valign="top">
The matrix IS NOT REORDERED.<br>
Here is how it would look<br>
like, if it would be reordered<br>
accoring to <tt>rowIndexes</tt>.<br>
<tt>8 x 3 matrix:<br>
2, 1, 0<br>
5, 4, 3<br>
8, 7, 6<br>
11, 10, 9<br>
23, 22, 21<br>
20, 19, 18<br>
17, 16, 15<br>
14, 13, 12 </tt></td>
</tr>
</table>
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>matrix</CODE> - the matrix to be partitioned.<DD><CODE>rowIndexes</CODE> - the index of the i-th row; is modified by this method to reflect partitioned indexes.<DD><CODE>rowFrom</CODE> - the index of the first row (inclusive).<DD><CODE>rowTo</CODE> - the index of the last row (inclusive).<DD><CODE>column</CODE> - the index of the column to partition on.<DD><CODE>splitters</CODE> - the values at which the rows shall be split into intervals.
Must be sorted ascending and must not contain multiple identical values.
These preconditions are not checked; be sure that they are met.<DD><CODE>splitFrom</CODE> - the index of the first splitter element to be considered.<DD><CODE>splitTo</CODE> - the index of the last splitter element to be considered.
The method considers the splitter elements <tt>splitters[splitFrom] .. splitters[splitTo]</tt>.<DD><CODE>splitIndexes</CODE> - a list into which this method fills the indexes of rows delimiting intervals.
Upon return <tt>splitIndexes[splitFrom..splitTo]</tt> will be set accordingly.
Therefore, must satisfy <tt>splitIndexes.length >= splitters.length</tt>.</DL>
</DD>
</DL>
<HR>
<A NAME="partition(cern.colt.matrix.ObjectMatrix2D, int, java.lang.Object[], int[])"><!-- --></A><H3>
partition</H3>
<PRE>
public static <A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A> <B>partition</B>(<A HREF="../../../../cern/colt/matrix/ObjectMatrix2D.html" title="class in cern.colt.matrix">ObjectMatrix2D</A> matrix,
int column,
<A HREF="http://java.sun.com/j2se/1.4/docs/api/java/lang/Object.html" title="class or interface in java.lang">Object</A>[] splitters,
int[] splitIndexes)</PRE>
<DL>
<DD>Same as <A HREF="../../../../cern/colt/Partitioning.html#partition(int[], int, int, int[], int, int, int[])"><CODE>Partitioning.partition(int[],int,int,int[],int,int,int[])</CODE></A>
except that it <i>synchronously</i> partitions the rows of the given matrix by the values of the given matrix column;
This is essentially the same as partitioning a list of composite objects by some instance variable;
In other words, two entire rows of the matrix are swapped, whenever two column values indicate so.
<p>
Let's say, a "row" is an "object" (tuple, d-dimensional point).
A "column" is the list of "object" values of a given variable (field, dimension).
A "matrix" is a list of "objects" (tuples, points).
<p>
Now, rows (objects, tuples) are partially sorted according to their values in one given variable (dimension).
Two entire rows of the matrix are swapped, whenever two column values indicate so.
<p>
Note that arguments are not checked for validity.
<p>
<b>Example:</b>
<table border="1" cellspacing="0">
<tr nowrap>
<td valign="top"><tt>8 x 3 matrix:<br>
23, 22, 21<br>
20, 19, 18<br>
17, 16, 15<br>
14, 13, 12<br>
11, 10, 9<br>
8, 7, 6<br>
5, 4, 3<br>
2, 1, 0 </tt></td>
<td align="left" valign="top">
<tt>column = 0;<br>
splitters = {5,10,12}<br>
partition(matrix,column,splitters,splitIndexes);<br>
==><br>
splitIndexes == {0, 2, 3}</tt></p>
</td>
<td valign="top">
The matrix IS NOT REORDERED.<br>
The new VIEW IS REORDERED:<br>
<tt>8 x 3 matrix:<br>
2, 1, 0<br>
5, 4, 3<br>
8, 7, 6<br>
11, 10, 9<br>
23, 22, 21<br>
20, 19, 18<br>
17, 16, 15<br>
14, 13, 12 </tt></td>
</tr>
</table>
<P>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>matrix</CODE> - the matrix to be partitioned.<DD><CODE>column</CODE> - the index of the column to partition on.<DD><CODE>splitters</CODE> - the values at which the rows shall be split into intervals.
Must be sorted ascending and must not contain multiple identical values.
These preconditions are not checked; be sure that they are met.<DD><CODE>splitIndexes</CODE> - a list into which this method fills the indexes of rows delimiting intervals.
Therefore, must satisfy <tt>splitIndexes.length >= splitters.length</tt>.
<DT><B>Returns:</B><DD>a new matrix view having rows partitioned by the given column and splitters.</DL>
</DD>
</DL>
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