/*
GeoGebra - Dynamic Mathematics for Everyone
http://www.geogebra.org
This file is part of GeoGebra.
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.
*/
package org.geogebra.common.kernel.algos;
import org.geogebra.common.euclidian.EuclidianConstants;
import org.geogebra.common.kernel.Construction;
import org.geogebra.common.kernel.StringTemplate;
import org.geogebra.common.kernel.commands.Commands;
import org.geogebra.common.kernel.geos.GeoElement;
import org.geogebra.common.kernel.geos.GeoLine;
import org.geogebra.common.kernel.kernelND.AlgoIntersectND;
import org.geogebra.common.kernel.kernelND.GeoConicND;
import org.geogebra.common.kernel.kernelND.GeoLineND;
import org.geogebra.common.kernel.kernelND.GeoPointND;
/**
* Two tangents through point P to conic section c
*/
public abstract class AlgoTangentPointND extends AlgoElement
implements TangentAlgo {
protected GeoPointND P; // input
protected GeoConicND c; // input
protected GeoLineND[] tangents; // output
protected GeoLine polar;
protected AlgoIntersectND algoIntersect;
protected GeoPointND[] tangentPoints;
protected boolean equalLines = false;
/*
* AlgoTangentPoint(Construction cons, String label, GeoPoint P, GeoConic c)
* { this(cons, P, c); GeoElement.setLabels(label, tangents); }
*/
public AlgoTangentPointND(Construction cons, String[] labels, GeoPointND P,
GeoConicND c) {
this(cons, P, c);
GeoElement.setLabels(labels, getOutput());
}
AlgoTangentPointND(Construction cons, GeoPointND P, GeoConicND c) {
super(cons);
this.P = P;
this.c = c;
setPolar();
setTangents();
setInputOutput(); // for AlgoElement
compute();
// check if both lines are equal after creation:
// if they are equal we started with a point on the conic section
// in this case we only want to see one tangent line,
// so we make the second one undefined
equalLines = tangents[0].isEqual(tangents[1]);
if (equalLines) {
tangents[1].setUndefined();
tangentPoints[1].setUndefined();
}
}
/**
* set polar
*/
abstract protected void setPolar();
/**
* set tangents
*/
abstract protected void setTangents();
@Override
public Commands getClassName() {
return Commands.Tangent;
}
@Override
public int getRelatedModeID() {
return EuclidianConstants.MODE_TANGENTS;
}
// for AlgoElement
@Override
protected void setInputOutput() {
input = new GeoElement[2];
input[0] = (GeoElement) P;
input[1] = c;
GeoElement[] out = new GeoElement[2];
for (int i = 0; i < 2; i++) {
out[i] = (GeoElement) tangents[i];
}
super.setOutput(out);
setDependencies(); // done by AlgoElement
}
/**
*
* @return true if tangents will be defined
*/
protected boolean checkUndefined() {
return c.isDegenerate();
}
// calc tangents
@Override
public final void compute() {
// degenerates should not have any tangents
if (checkUndefined()) {
tangents[0].setUndefined();
tangents[1].setUndefined();
return;
}
// update polar line
updatePolarLine();
// if P lies on the conic, the polar is a tangent
if (isIntersectionPointIncident()) {
setTangentFromPolar(0);
tangentPoints[0].setCoordsFromPoint(P);
// check if we had equal lines at the beginning
// if so we still don't want to see the second line
if (equalLines) {
tangents[1].setUndefined();
tangentPoints[1].setUndefined();
} else {
setTangentFromPolar(1);
tangentPoints[1].setCoordsFromPoint(P);
}
}
// if P is not on the conic, the tangents pass through
// the intersection points of polar and conic
else {
// intersect polar line with conic -> tangentPoints
algoIntersect.update();
// calc tangents through tangentPoints
updateTangents();
// we no longer have equal lines (if we ever had them)
equalLines = false;
}
}
/**
* set tangent equal to polar
*/
abstract protected void setTangentFromPolar(int i);
/**
*
* @return true if P is on c
*/
abstract protected boolean isIntersectionPointIncident();
/**
* update polar line
*/
abstract protected void updatePolarLine();
/**
* update tangents
*/
abstract protected void updateTangents();
@Override
public final String toString(StringTemplate tpl) {
// Michael Borcherds 2008-03-30
// simplified to allow better Chinese translation
return getLoc().getPlain("TangentToAThroughB", c.getLabel(tpl),
P.getLabel(tpl));
}
@Override
public GeoPointND getTangentPoint(GeoElement geo, GeoLine line) {
if (geo != c) {
return null;
}
if (line == tangents[0]) {
return tangentPoints[0];
} else if (line == tangents[1]) {
return tangentPoints[1];
} else {
return null;
}
}
}