Line changes for revisions 10795:10796

Changes in this commit seem to be the result of some "auto reformat" tool execution. The Java - GeoAPI - GeoTools import ordering is altered, imports used only in Javadoc are lost and the encoding of non-ASCII characters is broken. This commit has been reverted, except for the removal of really unused imports which are kept removed.

Command line:

svn diff --extensions "--unified --ignore-space-change --ignore-all-space --ignore-eol-style" -r10795:10796 https://svn.osgeo.org/geotools/trunk/modules/library/metadata/src/main/java/org/geotools/math/Line.java
Revision 10795Revision 10796
/*
 * Geotools 2 - OpenSource mapping toolkit
 * (C) 2003, Geotools Project Managment Committee (PMC)
 * (C) 2003, Institut de Recherche pour le Développement
 * (C) 1998, Pêches et Océans Canada
 *
 *    This library is free software; you can redistribute it and/or
 *    modify it under the terms of the GNU Lesser General Public
 
/*
 * Geotools 2 - OpenSource mapping toolkit
 * (C) 2003, Geotools Project Managment Committee (PMC)
 * (C) 2003, Institut de Recherche pour le D�veloppement
 * (C) 1998, P�ches et Oc�ans Canada
 *
 *    This library is free software; you can redistribute it and/or
 *    modify it under the terms of the GNU Lesser General Public
// J2SE dependencies
import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import javax.vecmath.MismatchedSizeException;
import java.io.Serializable;

// OpenGIS dependencies
import org.opengis.util.Cloneable;
 
// J2SE dependencies
import java.awt.geom.Line2D;
import java.awt.geom.Point2D;
import java.io.Serializable;

import javax.vecmath.MismatchedSizeException;

import org.opengis.util.Cloneable;
* We have to solve two equations with two unknows:
*
*   1)    mean(y)  = b + m*mean(x)
*   2)    mean(xy) = b*mean(x) + m*mean(x²)
*
* Those formulas lead to a quadratic equation. However,
* the formulas become very simples if we set 'mean(x)=0'.
* We can achieve this result by computing instead of (2):
*
*   2b)   mean(dx y) = m*mean(dx²)
*
* where dx=x-mean(x). In this case mean(dx)==0.
*/
 
* We have to solve two equations with two unknows:
*
*   1)    mean(y)  = b + m*mean(x)
*   2)    mean(xy) = b*mean(x) + m*mean(x�)
*
* Those formulas lead to a quadratic equation. However,
* the formulas become very simples if we set 'mean(x)=0'.
* We can achieve this result by computing instead of (2):
*
*   2b)   mean(dx y) = m*mean(dx�)
*
* where dx=x-mean(x). In this case mean(dx)==0.
*/
 * Assuming that 'mean(x)==0', then the correlation
 * coefficient can be approximate by:
 *
 * R = mean(xy) / sqrt( mean(x²) * (mean(y²) - mean(y)²) )
 */
slope = mean_xy/mean_x2;
y0 = mean_y-mean_x*slope;
 
 * Assuming that 'mean(x)==0', then the correlation
 * coefficient can be approximate by:
 *
 * R = mean(xy) / sqrt( mean(x�) * (mean(y�) - mean(y)�) )
 */
slope = mean_xy/mean_x2;
y0 = mean_y-mean_x*slope;