public GgbVector getCartesianEquationVector(GgbMatrix m) {
GgbVector origin = getCoordSys().getOrigin();
GgbVector direction = getCoordSys().getVx();
// TODO generalize it to other planes than xOy
// if lines is not in the plane, return null
if (!Kernel.isZero(origin.getZ()) || !Kernel.isZero(direction.getZ())) return null;
double x = -direction.getY();
double y = direction.getX();
double z = -x * origin.getX() - y * origin.getY();
return new GgbVector(x, y, z);
}
/**
* returns the point at position lambda on the coord sys in the dimension given
*
* @param dimension
* @param lambda
* @return the point at position lambda on the coord sys
*/
public GgbVector getPointInD(int dimension, double lambda) {
GgbVector v = getPoint(lambda);
switch (dimension) {
case 3:
return v;
case 2:
return new GgbVector(v.getX(), v.getY(), v.getW());
default:
return null;
}
}