public override bool Equals(object obj)
{
if (this == obj)
{
return(true);
}
if (obj == null || !GetType().IsEquivalentTo(obj.GetType()))
{
return(false);
}
ArcSegment other = (ArcSegment)obj;
return(BeginPoint.Equals(other.BeginPoint) &&
EndPoint.Equals(other.EndPoint) &&
Center.Equals(other.Center) &&
ArcDirection.Equals(other.ArcDirection));
}
/// <summary>
/// 给定圆弧，计算圆弧与圆弧之间的公切线段集合
/// </summary>
/// <param name="rightArcSegment"></param>
/// <returns></returns>
public List <LineSegment> GetCommonTangentLinebyArcs(ArcSegment other)
{
ArcSegment leftArcSegment = null;
ArcSegment rightArcSegment = null;
if (this.Center.X < other.Center.X)
{
leftArcSegment = this;
rightArcSegment = other;
}
else
{
leftArcSegment = other;
rightArcSegment = this;
}
ArcSegmentArcRelationShipType type = leftArcSegment.GetRelationShipWithArc(rightArcSegment);
//相交,外切，相离会用到两条
if (type == ArcSegmentArcRelationShipType.Insert || type == ArcSegmentArcRelationShipType.Apart || type == ArcSegmentArcRelationShipType.OuterTangent)
{
double r1 = leftArcSegment.Radius;
double r2 = rightArcSegment.Radius;
double dis = leftArcSegment.Center.DisTo(rightArcSegment.Center);
double x = Math.Abs(dis * r1 / (r2 - r1));
double angle = Math.Asin(r1 / x);
double dir0 = new LineSegment(leftArcSegment.Center, rightArcSegment.Center).GetDirection() - Math.PI / 2;
LineSegment lineRadius = null;
LineSegment lineRadius2 = null;
if (r1 > r2)
{
lineRadius = new LineSegment(leftArcSegment.Center, rightArcSegment.Center);
lineRadius.Rotate(leftArcSegment.Center, angle, ArcDirctionType.CLOCK_WISE);
lineRadius.Move(dir0 + angle, r1);
lineRadius2 = new LineSegment(leftArcSegment.Center, rightArcSegment.Center);
lineRadius2.Rotate(leftArcSegment.Center, angle, ArcDirctionType.UNCLOCK_WISE);
lineRadius2.Move(dir0 + Math.PI - angle, r1);
}
else
{
lineRadius = new LineSegment(leftArcSegment.Center, rightArcSegment.Center);
lineRadius.Rotate(leftArcSegment.Center, angle, ArcDirctionType.UNCLOCK_WISE);
lineRadius.Move(dir0 - angle, r1);
lineRadius2 = new LineSegment(leftArcSegment.Center, rightArcSegment.Center);
lineRadius2.Rotate(leftArcSegment.Center, angle, ArcDirctionType.CLOCK_WISE);
lineRadius2.Move(dir0 - Math.PI + angle, r1);
}
List <LineSegment> list = new List <LineSegment>();
if (leftArcSegment.GetRelationShipwithLine(lineRadius) == LineArcRelationShipType.Tangent &&
rightArcSegment.GetRelationShipwithLine(lineRadius) == LineArcRelationShipType.Tangent)
{
list.Add(lineRadius);
}
if (leftArcSegment.GetRelationShipwithLine(lineRadius2) == LineArcRelationShipType.Tangent &&
rightArcSegment.GetRelationShipwithLine(lineRadius2) == LineArcRelationShipType.Tangent)
{
list.Add(lineRadius2);
}
return(list);
}
return(null);
}
/// <summary>
/// 给定直线段，计算圆弧和直线段所在直线间的公切圆，并返回满足指定半径的圆弧
/// </summary>
/// <param name="line"></param>
/// <param name="radius"></param>
/// <returns></returns>
public List <ArcSegment> GetCommonTangentArcsbyArcandLine(LineSegment line, double radius)
{
List <ArcSegment> list = new List <ArcSegment>();
List <Point3D> cacheList = new List <Point3D>();
double dir = line.GetDirection();
LineSegment line1 = line.CopyMove(dir - Math.PI / 2, radius) as LineSegment; //公切圆圆心所在的直线1
LineSegment line2 = line.CopyMove(dir + Math.PI / 2, radius) as LineSegment; //公切圆圆心所在的直线2
var r = this.Radius + radius;
var r2 = Math.Abs(this.Radius - radius);
//构造假想圆弧
ArcSegment arc = new ArcSegment(this.Center, r);
ArcSegment arc2 = new ArcSegment(this.Center, r2);
//1.如果圆弧与直线相切，最多存在四个所求圆
//2.如果圆弧与直线相交，最多存在八个所求圆
//3.如果圆弧与直线相离，可能存在两个所求圆
LineArcRelationShipType lineArcRelationShipType = GetRelationShipwithLine(line);
if (lineArcRelationShipType == LineArcRelationShipType.Tangent ||
lineArcRelationShipType == LineArcRelationShipType.TangentWithArc)
{
var list1 = arc.GetIntersectPointsWithLine(line1);
if (list1 != null && list1.Count > 0)
{
cacheList.AddRange(list1);
}
var list2 = arc2.GetIntersectPointsWithLine(line1);
if (list2 != null && list2.Count > 0)
{
cacheList.AddRange(list2);
}
var list3 = arc.GetIntersectPointsWithLine(line2);
if (list3 != null && list3.Count > 0)
{
cacheList.AddRange(list3);
}
var list4 = arc2.GetIntersectPointsWithLine(line2);
if (list4 != null && list4.Count > 0)
{
cacheList.AddRange(list4);
}
}
else if (lineArcRelationShipType == LineArcRelationShipType.Insert ||
lineArcRelationShipType == LineArcRelationShipType.InsertWithArc ||
lineArcRelationShipType == LineArcRelationShipType.InsertWithArcSegmentAndArc)
{
var list1 = arc.GetIntersectPointsWithLine(line1);
if (list1 != null && list1.Count > 0)
{
cacheList.AddRange(list1);
}
var list2 = arc2.GetIntersectPointsWithLine(line1);
if (list2 != null && list2.Count > 0)
{
cacheList.AddRange(list2);
}
var list3 = arc.GetIntersectPointsWithLine(line2);
if (list3 != null && list3.Count > 0)
{
cacheList.AddRange(list3);
}
var list4 = arc2.GetIntersectPointsWithLine(line2);
if (list4 != null && list4.Count > 0)
{
cacheList.AddRange(list4);
}
}
else if (lineArcRelationShipType == LineArcRelationShipType.Apart)
{
var list1 = arc.GetIntersectPointsWithLine(line1);
if (list1 != null && list1.Count > 0)
{
cacheList.AddRange(list1);
}
var list2 = arc.GetIntersectPointsWithLine(line2);
if (list2 != null && list2.Count > 0)
{
cacheList.AddRange(list2);
}
}
else if (lineArcRelationShipType == LineArcRelationShipType.Others)
{
return(null);
}
foreach (Point3D p in cacheList)
{
PointArcRelationShipType t = GetRelationShipWithPoint(p);
if (t == PointArcRelationShipType.On_ArcSegment ||
t == PointArcRelationShipType.In_ArcSegment_Center ||
t == PointArcRelationShipType.To_ArcSegment_Center)
{
list.Add(new ArcSegment(p, radius));
}
}
return(list);
}