예제 #1
0
        public static MyPoint[] convexhull(MyPoint[] pts)
        {
            // Отсортировать точки по увеличению (x, y)
            int N = pts.Length;

            Polysort.Quicksort <MyPoint>(pts);
            MyPoint left = pts[0], right = pts[N - 1];

            // Разделить на список нижних граней и верхних граней
            CDLL <MyPoint> lower = new CDLL <MyPoint>(left), upper = new CDLL <MyPoint>(left);

            for (int i = 0; i < N; i++)
            {
                double det = MyPoint.Area2(left, right, pts[i]);
                if (det > 0)
                {
                    upper = upper.Append(new CDLL <MyPoint>(pts[i]));
                }
                else if (det < 0)
                {
                    lower = lower.Prepend(new CDLL <MyPoint>(pts[i]));
                }
            }
            lower = lower.Prepend(new CDLL <MyPoint>(right));
            upper = upper.Append(new CDLL <MyPoint>(right)).Next;
            // Устранить точки не на многоуголнике
            eliminate(lower);
            eliminate(upper);

            // Устранить повторяющиеся точки
            try
            {
                if (lower.Prev.val.Equals(upper.val))
                {
                    lower.Prev.Delete();
                }
                if (upper.Prev.val.Equals(lower.val))
                {
                    upper.Prev.Delete();
                }
            }
            catch
            {
                // DO NOTHING!!! JUST SKIP ERROR
            }

            // Соединяем нижние и верхние грани
            MyPoint[] res = new MyPoint[lower.Size() + upper.Size()];
            lower.CopyInto(res, 0);
            upper.CopyInto(res, lower.Size());
            return(res);
        }
예제 #2
0
        public static Vec2d[] GetConvexHull(Vec2d[] pts)
        {
            // Sort points lexicographically by increasing (x, y)
            int N = pts.Length;

            quicksort(pts);
            Vec2d left = pts[0], right = pts[N - 1];
            // Partition into lower hull and upper hull
            CDLL <Vec2d> lower = new CDLL <Vec2d>(left), upper = new CDLL <Vec2d>(left);

            for (int i = 0; i < N; i++)
            {
                double det = area2(left, right, pts[i]);
                if (det > 0)
                {
                    upper = upper.Append(new CDLL <Vec2d>(pts[i]));
                }
                else if (det < 0)
                {
                    lower = lower.Prepend(new CDLL <Vec2d>(pts[i]));
                }
            }
            lower = lower.Prepend(new CDLL <Vec2d>(right));
            upper = upper.Append(new CDLL <Vec2d>(right)).Next;
            // Eliminate points not on the hull
            eliminate(lower);
            eliminate(upper);
            // Eliminate duplicate endpoints
            if (lower.Prev.val.Equals(upper.val))
            {
                lower.Prev.Delete();
            }
            if (upper.Prev.val.Equals(lower.val))
            {
                upper.Prev.Delete();
            }
            // Join the lower and upper hull
            Vec2d[] res = new Vec2d[lower.Size() + upper.Size()];
            lower.CopyInto(res, 0);
            upper.CopyInto(res, lower.Size());
            return(res);
        }