/**
* Creates new random element algo
*
* @param cons
* @param label
* @param geoList
*/
public AlgoRandomElement(Construction cons, String label, GeoList geoList) {
super(cons);
this.geoList = geoList;
// init return element as copy of first list element
if (geoList.size() > 0) {
element = geoList.get(0).copyInternal(cons);
} else if (geoList.getTypeStringForXML() != null) {
// if the list was non-empty at some point before saving, get the
// same type of geo
// saved in XML from 4.1.131.0
element = kernel.createGeoElement(cons, geoList.getTypeStringForXML());
}
// desperate case: empty list
else {
// saved in XML from 4.0.18.0
element = cons.getOutputGeo();
}
setInputOutput();
compute();
element.setLabel(label);
cons.addRandomGeo(element);
}
protected void transformList(GeoList ageo2, GeoList bgeo2) {
for (int i = bgeo2.size() - 1; i >= ageo2.size(); i--) bgeo2.remove(i);
for (int i = 0; i < ageo2.size(); i++) {
GeoElement trans = null;
if (i < bgeo2.size()) {
setTransformedObject(ageo2.get(i), bgeo2.get(i));
compute();
} else {
trans = getResultTemplate(ageo2.get(i));
setTransformedObject(ageo2.get(i), trans);
compute();
bgeo2.add(trans);
}
}
setTransformedObject(ageo2, bgeo2);
}
@Override
public final void compute() {
int size = geoList.size();
if (!geoList.isDefined() || size <= 1) {
g.setUndefined();
return;
}
double sigmax = 0;
double sigmay = 0;
double sigmaxx = 0;
// double sigmayy=0; not needed
double sigmaxy = 0;
for (int i = 0; i < size; i++) {
GeoElement geo = geoList.get(i);
if (geo.isGeoPoint()) {
double x;
double y;
if (geo.isGeoElement3D()) {
Coords coords = ((GeoPointND) geo).getInhomCoordsInD3();
if (!Kernel.isZero(coords.getZ())) {
g.setUndefined();
return;
}
x = coords.getX();
y = coords.getY();
} else {
double xy[] = new double[2];
((GeoPoint) geo).getInhomCoords(xy);
x = xy[0];
y = xy[1];
}
sigmax += x;
sigmay += y;
sigmaxx += x * x;
sigmaxy += x * y;
// sigmayy+=y*y; not needed
} else {
g.setUndefined();
return;
}
}
// y on x regression line
// (y - sigmay / n) = (Sxx / Sxy)*(x - sigmax / n)
// rearranged to eliminate all divisions
g.x = size * sigmax * sigmay - size * size * sigmaxy;
g.y = size * size * sigmaxx - size * sigmax * sigmax;
g.z = size * sigmax * sigmaxy - size * sigmaxx * sigmay; // (g.x)x +
// (g.y)y +
// g.z = 0
}
@Override
public final void compute() {
if (!geoList.isDefined() || geoList.size() == 0) {
element.setUndefined();
return;
}
GeoElement randElement =
geoList.get((int) Math.floor((cons.getApplication().getRandomNumber() * geoList.size())));
// check type:
if (randElement.getGeoClassType() == element.getGeoClassType()) {
element.set(randElement);
} else {
element.setUndefined();
}
}
@Override
public void compute() {
int degInt;
GeoList coefs = null;
fv.setVarString(f.getVarString(StringTemplate.defaultTemplate));
// px^2+qx+r; p+q+r=s;
double r = f.evaluate(0);
double s = f.evaluate(1);
double p = 0.5 * (s + f.evaluate(-1)) - r;
double q = s - p - r;
boolean isQuadratic = !f.isGeoFunctionConditional();
double[] checkpoints = {1000, -1000, Math.PI, Math.E};
for (int i = 0; i < checkpoints.length; i++) {
double x = checkpoints[i];
if (!Kernel.isZero(p * x * x + q * x + r - f.evaluate(x))) {
// App.debug(p + "," + q + "," + r + ","
// + (p * x * x + q * x + r - f.evaluate(x)));
isQuadratic = false;
}
}
if (!isQuadratic) {
if (algoCoef == null) {
algoCoef = new AlgoCoefficients(cons, f);
algoCoef.setProtectedInput(true);
algoCoef.remove();
} else {
algoCoef.compute();
}
coefs = algoCoef.getResult();
degInt = coefs.size() - 1;
isQuadratic = coefs.isDefined() && coefs.get(0).isDefined();
for (int i = 1; i < degInt; i++) {
if (2 * i != degInt && !Kernel.isZero(((GeoNumeric) coefs.get(i)).getDouble())) {
isQuadratic = false;
}
p = ((GeoNumeric) coefs.get(0)).getDouble();
q = ((GeoNumeric) coefs.get(degInt / 2)).getDouble();
r = ((GeoNumeric) coefs.get(degInt)).getDouble();
}
} else {
degInt = 2;
}
if (degInt % 2 == 1 || degInt < 2 || !isQuadratic || Kernel.isZero(p)) {
square.setUndefined();
return;
}
if (lastDeg != degInt) {
ExpressionNode squareE;
ExpressionValue fvPower;
if (degInt == 2) fvPower = fv;
else
fvPower = new ExpressionNode(kernel, fv, Operation.POWER, new MyDouble(kernel, degInt / 2));
squareE =
new ExpressionNode(
kernel,
new ExpressionNode(
kernel,
a,
Operation.MULTIPLY,
new ExpressionNode(kernel, fvPower, Operation.MINUS, h)
.power(new MyDouble(kernel, 2))),
Operation.PLUS,
k);
square.getFunction().setExpression(squareE);
}
lastDeg = degInt;
fv.setVarString(f.getVarString(StringTemplate.defaultTemplate));
// if one is undefined, others are as well
square.setDefined(!Double.isNaN(r));
a.set(p);
h.set(-q / (2 * p));
k.set(r - q * q / (p * 4));
}
