Exemple #1
0
Vect2 Vect2::intersect_pt(const Vect2& s0, const Vect2& v0, const Vect2& s1, const Vect2& v1) {
	if (Util::almost_equals(v0.det(v1),0.0)) {
		//fpln(" $$$$$$$$ ERROR $$$$$$$$$");
		return Vect2::INVALID();
	} else {
		Vect2 delta = s1.Sub(s0);
		double ss = delta.det(v1)/v0.det(v1);
		return s0.Add(v0.Scal(ss));
	}
}
Exemple #2
0
std::pair<Vect2,double> VectFuns::intersection(const Vect2& so, const Vect2& vo, const Vect2& si, const Vect2& vi) {
	Vect2 ds = si.Sub(so);
	if (vo.det(vi) == 0) {
		//f.pln(" $$$ intersection: lines are parallel");
		return std::pair<Vect2,double>(Vect2::ZERO(),  NaN);
	}
	double tt = ds.det(vi)/vo.det(vi);
	Vect2 intersec = so.Add(vo.Scal(tt));
	return std::pair<Vect2,double>(intersec,tt);
}
Exemple #3
0
/**
 * Computes 2D intersection point of two lines, but also finds z component (projected by time from line 1)
 * @param s0 starting point of line 1
 * @param v0 direction vector for line 1
 * @param s1 starting point of line 2
 * @param v1 direction vector of line 2
 * @return Pair (2-dimensional point of intersection with 3D projection, relative time of intersection, relative to the so3)
 * If the lines are parallel, this returns the pair (0,NaN).
 */
double  VectFuns::timeOfIntersection(const Vect3& so3, const Velocity& vo3, const Vect3& si3, const Velocity& vi3) {
	Vect2 so = so3.vect2();
	Vect2 vo = vo3.vect2();
	Vect2 si = si3.vect2();
	Vect2 vi = vi3.vect2();
	Vect2 ds = si.Sub(so);
	if (vo.det(vi) == 0) {
		//f.pln(" $$$ intersection: lines are parallel");
		return NaN;
	}
	double tt = ds.det(vi)/vo.det(vi);
	//f.pln(" $$$ intersection: tt = "+tt);
	return tt;
}
Exemple #4
0
/**
 * Computes 2D intersection point of two lines, but also finds z component (projected by time from line 1)
 * @param s0 starting point of line 1
 * @param v0 direction vector for line 1
 * @param s1 starting point of line 2
 * @param v1 direction vector of line 2
 * @return Pair (2-dimensional point of intersection with 3D projection, relative time of intersection, relative to the so3)
 * If the lines are parallel, this returns the pair (0,NaN).
 */
std::pair<Vect3,double> VectFuns::intersection(const Vect3& so3, const Velocity& vo3, const Vect3& si3, const Velocity& vi3) {
	Vect2 so = so3.vect2();
	Vect2 vo = vo3.vect2();
	Vect2 si = si3.vect2();
	Vect2 vi = vi3.vect2();
	Vect2 ds = si.Sub(so);
	if (vo.det(vi) == 0) {
		//f.pln(" $$$ intersection: lines are parallel");
		return std::pair<Vect3,double>(Vect3::ZERO(),  NaN);
	}
	double tt = ds.det(vi)/vo.det(vi);
	//f.pln(" $$$ intersection: tt = "+tt);
	Vect3 intersec = so3.Add(vo3.Scal(tt));
	double nZ = intersec.z;
	double maxZ = Util::max(so3.z,si3.z);
	double minZ = Util::min(so3.z,si3.z);
	if (nZ > maxZ) nZ = maxZ;
	if (nZ < minZ) nZ = minZ;
	return std::pair<Vect3,double>(intersec.mkZ(nZ),tt);
}