public int GrahamSort(Vector v1, Vector v2)
{
if (v1 == v2 || (v1.X == v2.X && v1.Y == v2.Y))
{
return(0);
}
LowestPoint = FindLowestPoint();
double thetaA = Math.Atan2(v1.Y - LowestPoint.Y, v1.X - LowestPoint.X);
double thetaB = Math.Atan2(v2.Y - LowestPoint.Y, v2.X - LowestPoint.X);
if (thetaA < thetaB)
{
return(-1);
}
else if (thetaA > thetaB)
{
return(1);
}
double distanceA = GeomMath.Distance(LowestPoint, v1);
double distanceB = GeomMath.Distance(LowestPoint, v2);
if (distanceA < distanceB)
{
return(-1);
}
else
{
return(1);
}
}
public int VectorCompare(Vector v1, Vector v2)
{
if (v1 == v2 || (v1.X == v2.X && v1.Y == v2.Y))
{
return(0);
}
double thetaA = Math.Atan2(v1.Y - LowestPoint.Y, v1.X - LowestPoint.X);
double thetaB = Math.Atan2(v2.Y - LowestPoint.Y, v2.X - LowestPoint.X);
// Angle of difference vector v1 and LowestPoint, and the x-axis
// If v1 has the smaller angle, return -1
if (thetaA < thetaB)
{
return(-1);
}
// If v2 has the smaller angle, return 1
else if (thetaA > thetaB)
{
return(1);
}
// If angles are the same, then choose the point that is closer to LowestPoint
double distanceA = GeomMath.Distance(LowestPoint, v1);
double distanceB = GeomMath.Distance(LowestPoint, v2);
if (distanceA < distanceB)
{
return(-1);
}
else
{
return(1);
}
}