/// <summary>
 /// 
 /// </summary>
 /// <param name="mce"></param>
 /// <param name="chainIndex"></param>
 public MonotoneChain(MonotoneChainEdge mce, int chainIndex)
 {
     this.mce = mce;
     this.chainIndex = chainIndex;
 }
 /// <summary>
 /// 
 /// </summary>
 /// <param name="chainIndex0"></param>
 /// <param name="mce"></param>
 /// <param name="chainIndex1"></param>
 /// <param name="si"></param>
 public virtual void ComputeIntersectsForChain(int chainIndex0, MonotoneChainEdge mce, int chainIndex1, SegmentIntersector si)
 {
     ComputeIntersectsForChain(_startIndex[chainIndex0], _startIndex[chainIndex0 + 1], mce,
                               mce._startIndex[chainIndex1], mce._startIndex[chainIndex1 + 1], si);
 }
        /// <summary>
        /// 
        /// </summary>
        /// <param name="start0"></param>
        /// <param name="end0"></param>
        /// <param name="mce"></param>
        /// <param name="start1"></param>
        /// <param name="end1"></param>
        /// <param name="ei"></param>
        private void ComputeIntersectsForChain( int start0, int end0, MonotoneChainEdge mce, int start1, int end1, SegmentIntersector ei)
        {
            Coordinate p00 = _pts[start0];
            Coordinate p01 = _pts[end0];
            Coordinate p10 = mce._pts[start1];
            Coordinate p11 = mce._pts[end1];
            
            // Console.WriteLine("computeIntersectsForChain:" + p00 + p01 + p10 + p11);

            // terminating condition for the recursion
            if (end0 - start0 == 1 && end1 - start1 == 1)
            {
                ei.AddIntersections(_e, start0, mce._e, start1);
                return;
            }

            // nothing to do if the envelopes of these chains don't overlap
            _env1.Init(p00, p01);
            _env2.Init(p10, p11);
            if (!_env1.Intersects(_env2)) 
                return;

            // the chains overlap, so split each in half and iterate  (binary search)
            int mid0 = (start0 + end0) / 2;
            int mid1 = (start1 + end1) / 2;
            
            // check terminating conditions before recursing
            if (start0 < mid0)
            {
                if (start1 < mid1) 
                    ComputeIntersectsForChain(start0, mid0, mce, start1, mid1, ei);
                if (mid1 < end1) 
                    ComputeIntersectsForChain(start0, mid0, mce, mid1, end1, ei);
            }
            if (mid0 < end0)
            {
                if (start1 < mid1)
                    ComputeIntersectsForChain(mid0, end0, mce, start1, mid1, ei);
                if (mid1 < end1)
                    ComputeIntersectsForChain(mid0, end0, mce, mid1, end1, ei);
            }
        }
 /// <summary>
 /// 
 /// </summary>
 /// <param name="mce"></param>
 /// <param name="si"></param>
 public virtual void ComputeIntersects(MonotoneChainEdge mce, SegmentIntersector si)
 {
     for (int i = 0; i < _startIndex.Length - 1; i++)
     {
         for (int j = 0; j < mce._startIndex.Length - 1; j++)
         {
             ComputeIntersectsForChain(i, mce, j, si);
         }
     }
 }