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#include "stdafx.h"
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#include "topologicalanalysis.h"
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TopologicalAnalysis::TopologicalAnalysis(void)
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{
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}
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TopologicalAnalysis::~TopologicalAnalysis(void)
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{
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}
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bool TopologicalAnalysis::isPointInLine(double* point, double* startPoint, double* endPoint,float tolerance)
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{
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double AX = startPoint[0];
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double AY = startPoint[1];
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double BX = endPoint[0];
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double BY = endPoint[1];
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double PX = point[0];
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double PY = point[1];
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double dx_AB = AX - BX;
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double dy_AB = AY - BY;
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double dx_PA = PX - AX;
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double dy_PA = PY - AY;
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double dx_PB = PX - BX;
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double dy_PB = PY - BY;
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double AB = sqrt(dx_AB*dx_AB + dy_AB*dy_AB);
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double PA = sqrt(dx_PA*dx_PA + dy_PA*dy_PA);
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double PB = sqrt(dx_PB*dx_PB + dy_PB*dy_PB);
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double rate = abs(PA + PB - AB) / AB;
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if (rate < tolerance)
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{
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return true;
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}
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else
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{
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return false;
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}
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}
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//<2F>ж<EFBFBD><D0B6><EFBFBD><EFBFBD>Ƿ<EFBFBD><C7B7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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int TopologicalAnalysis::isPointInPolyLine(double* point, vector<double>& lineX,vector<double>& lineY,float tolerance)
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{
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int lineNum = lineX.size();
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double startPoint[2],endPoint[2];
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for (int i=0;i<lineNum-1;i++)
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{
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startPoint[0] = lineX.at(i);
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startPoint[1] = lineY.at(i);
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endPoint[0] = lineX.at(i+1);
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endPoint[1] = lineY.at(i+1);
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bool b_in = isPointInLine(point,startPoint,endPoint,tolerance);
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if(b_in)
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{
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return (i+1);
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}
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}
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//<2F>ж<EFBFBD><D0B6><EFBFBD>β<EFBFBD><CEB2><EFBFBD>߶<EFBFBD>
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startPoint[0] = lineX.at(lineNum-1);
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startPoint[1] = lineY.at(lineNum-1);
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endPoint[0] = lineX.at(0);
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endPoint[1] = lineY.at(0);
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bool b_end = isPointInLine(point,startPoint,endPoint,tolerance);
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if (b_end)
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{
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return lineNum;
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}
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else
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{
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return 0;
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}
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}
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//<2F><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߹<EFBFBD><DFB9><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֱ<EFBFBD>ߵĽ<DFB5><C4BD><EFBFBD>
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bool TopologicalAnalysis::GetPointToLineVerticalCross(double* linePt1,double* linePt2,double* pt,double* crossPt)
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{
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//<2F><>ֱ<EFBFBD><D6B1>
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if (linePt1[0] == linePt2[0])
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{
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crossPt[0] = linePt1[0];
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crossPt[1] = pt[1];
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return true;
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}
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//ˮƽ<CBAE><C6BD>
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if (linePt1[1] == linePt2[1])
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{
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crossPt[0] = pt[0];
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crossPt[1] = linePt1[1];
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return true;
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}
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float A = (linePt1[1]- linePt2[1]) * 1.0 / (linePt1[0]- linePt2[0]);
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float B = (linePt1[1] - A * linePt1[0]);
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float m = pt[0] + A * pt[1];
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/// <20><><EFBFBD><EFBFBD>ֱ<EFBFBD>߽<EFBFBD><DFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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crossPt[0] = (m - A * B) * 1.0f / (A * A + 1);
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crossPt[1] = A * crossPt[0] + B;
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return true;
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}
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//<2F>жϵ<D0B6><CFB5>Ƿ<EFBFBD><C7B7><EFBFBD>(<28><><EFBFBD><EFBFBD>)<29><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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//polygon: <20><>β<EFBFBD><CEB2>ͬ<EFBFBD><CDAC>Cpoint1<74>б<EFBFBD>
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bool TopologicalAnalysis::isPointInPolygon(CPoint1 point, vector<CPoint1> polygon){
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if (polygon.size()<=3) return false; // һ<><D2BB><EFBFBD><EFBFBD>Ч<EFBFBD><D0A7><EFBFBD><EFBFBD><EFBFBD>ζ<EFBFBD><CEB6><EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD><D3A6><EFBFBD><EFBFBD>3
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int LineNum = polygon.size();
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CPoint1 leftP = point;
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CPoint1 rightP;
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rightP.SetX(getMaxX(polygon) + 1);
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rightP.SetY(point.GetY());
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int count = 0, yPrev = polygon[LineNum - 2].GetY();
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CPoint1 v1, v2;
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v1 = polygon[LineNum - 1];
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for (int i = 0; i < LineNum; i++)
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{
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v2 = polygon[i];
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if (isPointInLine(leftP, v1, v2))
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return true;
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if (v1.GetY() != v2.GetY())
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{
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if (isLineIntersect(v1, v2, leftP, rightP))
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{
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if (isPointInLine(v1, leftP, rightP))
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{
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if (v1.GetY()<v2.GetY()) { if (v1.GetY()>yPrev) count++; }
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else { if (v1.GetY() < yPrev) count++; }
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}
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else if (!isPointInLine(v2, leftP, rightP))
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{
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count++;
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}
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}
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}
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yPrev = v1.GetY();
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v1 = v2;
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}
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return (count % 2 == 1);
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}
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double TopologicalAnalysis::getMaxX(vector<CPoint1> points){
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if (points.size()==0)
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return -1;
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else if(points.size()==1)
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return points[0].GetX();
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else{
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double maxx = points[0].GetX();
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for (unsigned i=1; i<points.size();i++)
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{
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if(points[i].GetX()>maxx){
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maxx = points[i].GetX();
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}
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}
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return maxx;
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}
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}
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bool TopologicalAnalysis::isPointInLine(CPoint1 point, CPoint1 startPoint, CPoint1 endPoint)
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{
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long AX = startPoint.GetX();
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long AY = startPoint.GetY();
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long BX = endPoint.GetX();
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long BY = endPoint.GetY();
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long PX = point.GetX();
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long PY = point.GetY();
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double dx_AB = AX - BX;
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double dy_AB = AY - BY;
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double dx_PA = PX - AX;
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double dy_PA = PY - AY;
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double dx_PB = PX - BX;
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double dy_PB = PY - BY;
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double AB = sqrt(dx_AB*dx_AB + dy_AB*dy_AB);
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double PA = sqrt(dx_PA*dx_PA + dy_PA*dy_PA);
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double PB = sqrt(dx_PB*dx_PB + dy_PB*dy_PB);
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double rate = abs(PA + PB - AB) / AB;
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if (rate < 0.001)
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{
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return true;
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}
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else
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{
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return false;
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}
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}
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// <20><><EFBFBD><EFBFBD>
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double mult(CPoint1 a, CPoint1 b, CPoint1 c)
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{
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return (a.GetX()-c.GetX())*(b.GetY()-c.GetY())-(b.GetX()-c.GetX())*(a.GetY()-c.GetY());
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}
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bool TopologicalAnalysis::isLineIntersect(CPoint1 line1Start, CPoint1 line1End, CPoint1 line2Start, CPoint1 line2End){
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double l1sx = line1Start.GetX();
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double l1sy = line1Start.GetY();
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double l1ex = line1End.GetX();
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double l1ey = line1End.GetY();
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double l2sx = line2Start.GetX();
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double l2sy = line2Start.GetY();
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double l2ex = line2End.GetX();
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double l2ey = line2End.GetY();
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if ( max(l1sx, l1ex)<min(l2sx, l2ex) )
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{
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return false;
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}
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if ( max(l1sy, l1ey)<min(l2sy,l2ey) )
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{
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return false;
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}
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if ( max(l2sx, l2ex)<min(l1sx, l1ex) )
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{
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return false;
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}
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if ( max(l2sy,l2ey)<min(l1sy, l1ey) )
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{
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return false;
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}
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if ( mult(line2Start, line1End, line1Start)*mult(line1End, line2End, line1Start)<0 )
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{
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return false;
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}
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if ( mult(line1Start, line2End, line2Start)*mult(line2End, line1End, line2Start)<0 )
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{
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return false;
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}
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return true;
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}
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