📄 newgraham.java
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/**
* Copyright (C) 2006, Laboratorio di Valutazione delle Prestazioni - Politecnico di Milano
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
package jmt.engine.jaba;
import java.util.Vector;
/**
* Created by IntelliJ IDEA.
* User: Andrea
* Date: 25-gen-2006
* Time: 21.24.06
* To change this template use File | Settings | File Templates.
*/
public class newGraham {
Vector point = new Vector(2);
Vector convexHull = new Vector(2);
Vector newconvexHull = new Vector();
Vector newnewconvexHull = new Vector();
int height, width;
public void emptyPt() {
point.removeAllElements() ;
}
void addPt () {
boolean ptin = false;
PPoint pt = new PPoint();
pt.x = (int)(Math.random()*(width-2)+1);
pt.y = (int)(Math.random()*(height-2)+1);
pt.angle = 0;
point.addElement(pt);
}
void newPointToPt(newPoint p){
PPoint pt = new PPoint();
pt.x = p.x;
pt.y = p.y;
pt.angle = 0;
point.addElement(pt);
}
void PtTonewPoint(PPoint p){
newPoint pt = new newPoint(p.x,p.y);
newconvexHull.addElement(pt);
}
public Vector GrahamScan(Vector q) {
//todo Conversione newPoint a Ppoint
emptyPt();
for (int i=0;i<q.size();i++){
newPointToPt((newPoint)q.get(i));
}
Vector p = new Vector(point.size());
convexHull.removeAllElements();
PPoint alpha = new PPoint();
alpha.x=width;
alpha.y=height;
int nalpha = -1;
for(int i=0; i<point.size(); i++) {
PPoint npoint = ((PPoint)point.elementAt(i));
if (npoint.y <= alpha.y) {
if (npoint.y < alpha.y) {
alpha = npoint;
nalpha = i;
}
else {
if(npoint.x < alpha.x) {
alpha = npoint;
nalpha = i;
}
}
}
}
alpha.angle = 0;
convexHull.addElement(alpha);
for(int i=0; i<point.size(); i++) {
PPoint npoint = (PPoint)point.elementAt(i);
// angle will be in range 0 - pi
npoint.angle = (float)Math.atan2(npoint.y-alpha.y, npoint.x-alpha.x);
boolean ptin = false;
for(int j=0; j<p.size(); j++) {
if (i==nalpha) {
ptin = true;
break;
}
PPoint ppoint = (PPoint)p.elementAt(j);
if(npoint.angle == ppoint.angle) {
// abandon nearest
if(Math.sqrt(ppoint.x * ppoint.x + ppoint.y * ppoint.y) <
Math.sqrt(npoint.x * npoint.x + npoint.y * npoint.y)) {
p.setElementAt(npoint, j);
}
ptin = true;
break;
}
if(npoint.angle < ppoint.angle) {
p.insertElementAt(npoint, j);
ptin = true;
break;
}
}
if(!ptin) {
p.addElement(npoint);
}
}
// added all points to p
// now go through them!
nalpha = p.size();
convexHull.addElement(p.elementAt(0));
convexHull.addElement(p.elementAt(1));
for(int i=2; i<nalpha; i++) {
PPoint p1, p2, pn;
pn = (PPoint)p.elementAt(i);
p1 = (PPoint)convexHull.elementAt(convexHull.size()-2);
p2 = (PPoint)convexHull.elementAt(convexHull.size()-1);
while (NonLeftTurn(p1,p2,pn,(PPoint)convexHull.firstElement())) {
convexHull.removeElementAt(convexHull.size()-1);
p2 = p1;
p1 = (PPoint)convexHull.elementAt(convexHull.size()-2);
}
convexHull.addElement(pn);
}
// add the first element again to close polygon
//convexHull.addElement(convexHull.firstElement());
//todo conversione da PPoint a newPoint
for (int i=0;i<convexHull.size();i++){
PtTonewPoint((PPoint)convexHull.get(i));
}
//todo bisogna invertire l'ordine di uscita dei punti
for (int i=newconvexHull.size();i>0;i--){
newnewconvexHull.addElement(newconvexHull.get(i));
newconvexHull.removeElementAt(i);
}
return newnewconvexHull;
}
boolean NonLeftTurn(PPoint p1, PPoint p2, PPoint p3, PPoint p0) {
double l1, l2, l4, l5, l6, angle1, angle2, angle;
l1 = Math.sqrt(Math.pow(p2.y-p1.y,2) + Math.pow(p2.x-p1.x,2));
l2 = Math.sqrt(Math.pow(p3.y-p2.y,2) + Math.pow(p3.x-p2.x,2));
l4 = Math.sqrt(Math.pow(p3.y-p0.y,2) + Math.pow(p3.x-p0.x,2));
l5 = Math.sqrt(Math.pow(p1.y-p0.y,2) + Math.pow(p1.x-p0.x,2));
l6 = Math.sqrt(Math.pow(p2.y-p0.y,2) + Math.pow(p2.x-p0.x,2));
angle1 = Math.acos( ( (l2*l2)+(l6*l6)-(l4*l4) ) / (2*l2*l6) );
angle2 = Math.acos( ( (l6*l6)+(l1*l1)-(l5*l5) ) / (2*l6*l1) );
angle = (Math.PI - angle1) - angle2;
if(angle <= 0.0) {
return(true);
} else {
return(false);
}
}
}
class PPoint {
int x,y;
float angle;
}
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