/// <summary>
/// 根据弧的起点,终点,半径,绘制方向,返回圆心点
/// </summary>
/// <param name="startPoint">点1</param>
/// <param name="endPoint">点2</param>
/// <param name="radius">半径</param>
/// <param name="sweepDirection">绘制方向</param>
/// <returns>坐标</returns>
/// <!--作者: 韦腾 时间:2008.12.16-->
public static Point GetRoundCenter(Point startPoint, Point endPoint, double radius, SweepDirection sweepDirection, bool isLargeArc)
{
if (startPoint == endPoint)
{
throw new Exception("起点与终点不能重合.");
}
//弧连线的长
double width = Math.Sqrt((startPoint.Y - endPoint.Y) * (startPoint.Y - endPoint.Y) + (startPoint.X - endPoint.X) * (startPoint.X - endPoint.X));
if (width / 2 > radius)
{
throw new RadiusException("半径不能小于起点与终点的距离.");
}
//中点,即交点
Point crossingPoint = new Point((startPoint.X + endPoint.X) / 2, (startPoint.Y + endPoint.Y) / 2);
//弧连线斜率
double k1 = (startPoint.Y - endPoint.Y) / (startPoint.X - endPoint.X);
//圆心连线斜率
double k2;
//弧于圆心的距离
double distance;
distance = Math.Sqrt(radius * radius - (width * width) / 4);
//圆心点
Point roundCenterLeft = new Point();
Point roundCenterRight = new Point();
if (double.IsInfinity(k1))
{
roundCenterLeft = new Point(crossingPoint.X + distance, crossingPoint.Y);
roundCenterRight = new Point(crossingPoint.X - distance, crossingPoint.Y);
}
else if (k1 == 0)
{
roundCenterLeft = new Point(crossingPoint.X, crossingPoint.Y + distance);
roundCenterRight = new Point(crossingPoint.X, crossingPoint.Y - distance);
}
else
{
k2 = (-1) / k1;
double xOffset = distance / (Math.Sqrt(1 + k2 * k2));
double xTemp, yTemp;
#region 第一个圆心点
xTemp = crossingPoint.X + xOffset;
yTemp = k2 * (xTemp - crossingPoint.X) + crossingPoint.Y;
roundCenterLeft = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
#region 第二个圆心点
xTemp = crossingPoint.X - xOffset;
yTemp = k2 * (xTemp - crossingPoint.X) + crossingPoint.Y;
roundCenterRight = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
}
if (-1 == MathExtension.GetPointLeftOrRight(startPoint, endPoint, roundCenterLeft))
{
Point pointTemp = roundCenterLeft;
roundCenterLeft = roundCenterRight;
roundCenterRight = pointTemp;
}
//大弧(注意坐标已经发先水平翻转)
if (isLargeArc)
{
//顺时针 取左边圆心
if (sweepDirection == SweepDirection.Clockwise)
{
return(roundCenterRight);
}
else//逆时针 取右边圆心
{
return(roundCenterLeft);
}
}
else //小弧
{
//顺时针 取右边圆心
if (sweepDirection == SweepDirection.Clockwise)
{
return(roundCenterLeft);
}
else//逆时针 取左边圆心
{
return(roundCenterRight);
}
}
}
/// <summary>
/// 设置位置
/// </summary>
public void SetPosition()
{
#region 弧线
this.lineElement.Point = this.EndPoint;
this.LinePathFigureElement.StartPoint = this.StartPoint;
this.lineElement.IsLargeArc = this.IsLargeArc;
this.lineElement.SweepDirection = this.LineSweepDirection;
this.lineElement.Size = new Size(this.Radius, this.Radius);
#endregion
#region 箭头
Point roundCenter = new Point();
double k1;
//求圆心
try
{
roundCenter = MathExtension.GetRoundCenter(this.StartPoint, this.EndPoint, this.Radius, this.LineSweepDirection, this.IsLargeArc);
//圆心与箭头点连线的斜率
k1 = (roundCenter.Y - this.EndPoint.Y) / (roundCenter.X - this.EndPoint.X);
}
catch (Exception ex)
{
if (ex is RadiusException)
{
k1 = (-1) * (this.StartPoint.X - this.EndPoint.X) / (this.StartPoint.Y - this.EndPoint.Y);
this.lineElement.Size = new Size(0, 1);
}
else
{
return;
}
}
Point centerPoint1, centerPoint2, endPoint11, endPoint12, endPoint21, endPoint22;
//切线斜率
double k2 = 0;
if (double.IsInfinity(k1)) //与Y轴平行
{
//中间点
this._CenterPoint.X = (this.StartPoint.X + this.EndPoint.X) / 2;
this._CenterPoint.Y = (this.StartPoint.Y + this.EndPoint.Y) / 2;
//如果是直线,直线与X轴平行
if (this.IsBeeline)
{
if (this.StartPoint.X < this.EndPoint.X)
{
this.arrowStartElement.StartPoint = new Point(this.EndPoint.X - this.ArrowSize.Height, this.EndPoint.Y - this.ArrowSize.Width);
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(new Point(this.EndPoint.X - this.ArrowSize.Height, this.EndPoint.Y + this.ArrowSize.Width));
}
else
{
this.arrowStartElement.StartPoint = new Point(this.EndPoint.X + this.ArrowSize.Height, this.EndPoint.Y - this.ArrowSize.Width);
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(new Point(this.EndPoint.X + this.ArrowSize.Height, this.EndPoint.Y + this.ArrowSize.Width));
}
}
}
else if (Math.Round(k1, 4) == 0)//与X轴平行
{
//中间点
this._CenterPoint.X = (this.StartPoint.X + this.EndPoint.X) / 2;
this._CenterPoint.Y = (this.StartPoint.Y + this.EndPoint.Y) / 2;
//如果是直线
if (this.IsBeeline)
{
if (this.StartPoint.Y < this.EndPoint.Y)
{
this.arrowStartElement.StartPoint = new Point(this.EndPoint.X - this.ArrowSize.Width, this.EndPoint.Y - this.ArrowSize.Height);
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(new Point(this.EndPoint.X + this.ArrowSize.Width, this.EndPoint.Y - this.ArrowSize.Height));
}
else
{
this.arrowStartElement.StartPoint = new Point(this.EndPoint.X - this.ArrowSize.Width, this.EndPoint.Y + this.ArrowSize.Height);
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(new Point(this.EndPoint.X + this.ArrowSize.Width, this.EndPoint.Y + this.ArrowSize.Height));
}
}
}
else
{
k2 = (-1) / k1;
double xOffset = this.ArrowSize.Height / (Math.Sqrt(1 + k2 * k2));
double xTemp, yTemp;
#region 第一个点
xTemp = this.EndPoint.X + xOffset;
yTemp = k2 * (xTemp - this.EndPoint.X) + this.EndPoint.Y;
centerPoint1 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
#region 第二个点
xTemp = this.EndPoint.X - xOffset;
yTemp = k2 * (xTemp - this.EndPoint.X) + this.EndPoint.Y;
centerPoint2 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
k2 = k1;
xOffset = this.ArrowSize.Width / (Math.Sqrt(1 + k2 * k2));
#region 第一个点对应的两个箭头端点
xTemp = centerPoint1.X + xOffset;
yTemp = k2 * (xTemp - centerPoint1.X) + centerPoint1.Y;
endPoint11 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
xTemp = centerPoint1.X - xOffset;
yTemp = k2 * (xTemp - centerPoint1.X) + centerPoint1.Y;
endPoint12 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
#region 第二个点对应的两个箭头端点
xTemp = centerPoint2.X + xOffset;
yTemp = k2 * (xTemp - centerPoint2.X) + centerPoint2.Y;
endPoint21 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
xTemp = centerPoint2.X - xOffset;
yTemp = k2 * (xTemp - centerPoint2.X) + centerPoint2.Y;
endPoint22 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
//小弧
if (!this.IsLargeArc)
{
#region 小弧
//如果是直线,则比较点与起点的距离,取距离近的两点
if (this.IsBeeline)
{
double d1 = (endPoint11.X - this.StartPoint.X) * (endPoint11.X - this.StartPoint.X) + (endPoint11.Y - this.StartPoint.Y) * (endPoint11.Y - this.StartPoint.Y);
double d2 = (endPoint21.X - this.StartPoint.X) * (endPoint21.X - this.StartPoint.X) + (endPoint21.Y - this.StartPoint.Y) * (endPoint21.Y - this.StartPoint.Y);
if (d1 < d2)
{
this.arrowStartElement.StartPoint = endPoint11;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint12);
}
else
{
this.arrowStartElement.StartPoint = endPoint21;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint22);
}
}
else
{
//是否是同一边
if (MathExtension.GetPointLeftOrRight(roundCenter, this.EndPoint, this.StartPoint) == MathExtension.GetPointLeftOrRight(roundCenter, this.EndPoint, centerPoint1))
{
this.arrowStartElement.StartPoint = endPoint11;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint12);
}
else
{
this.arrowStartElement.StartPoint = endPoint21;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint22);
}
}
#endregion
}
else
{
#region 大弧
//如果是直线,则比较点与起点的距离,取距离近的两点
if (this.IsBeeline)
{
double d1 = (endPoint11.X - this.StartPoint.X) * (endPoint11.X - this.StartPoint.X) + (endPoint11.Y - this.StartPoint.Y) * (endPoint11.Y - this.StartPoint.Y);
double d2 = (endPoint21.X - this.StartPoint.X) * (endPoint21.X - this.StartPoint.X) + (endPoint21.Y - this.StartPoint.Y) * (endPoint21.Y - this.StartPoint.Y);
if (d1 < d2)
{
this.arrowStartElement.StartPoint = endPoint11;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint12);
}
else
{
this.arrowStartElement.StartPoint = endPoint21;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint22);
}
}
else
{
//是否是不同一边
if (MathExtension.GetPointLeftOrRight(roundCenter, this.EndPoint, this.StartPoint) == (-1) * MathExtension.GetPointLeftOrRight(roundCenter, this.EndPoint, centerPoint1))
{
this.arrowStartElement.StartPoint = endPoint11;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint12);
}
else
{
this.arrowStartElement.StartPoint = endPoint21;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(this.EndPoint);
this.arrowElement.Points.Add(endPoint22);
}
}
#endregion
}
this.GetCenterPositen(roundCenter);
}
#endregion
}
/// <summary>
/// 设置位置
/// </summary>
public void SetPosition()
{
#region 弧线
lineElement.Point2 = new Point(EndPointX, EndPointY);
LinePathFigureElement.StartPoint = new Point(StartPointX, StartPointY);
#endregion
#region 箭头
Point roundCenter = new Point();
Point textCenterPoint;
double k1;
//求圆心
try
{
roundCenter = MathExtension.GetBezierCenter(LinePathFigureElement.StartPoint, lineElement.Point2, RadiusRadio * Length, this.LineSweepDirection);
var cp = new Point()
{
X = (StartPointX + EndPointX) / 2,
Y = (StartPointY + EndPointY) / 2,
};
textCenterPoint = new Point()
{
X = (cp.X + roundCenter.X) / 2,
Y = (cp.Y + roundCenter.Y) / 2,
};
//圆心与箭头点连线的斜率
k1 = (roundCenter.Y - this.EndPointY) / (roundCenter.X - this.EndPointX);
}
catch (Exception ex)
{
if (ex is RadiusException)
{
k1 = (-1) * (this.StartPointX - this.EndPointX) / (this.StartPointY - this.EndPointY);
textCenterPoint = roundCenter = new Point()
{
X = (this.StartPointX + this.EndPointX) / 2,
Y = (this.StartPointY + this.EndPointY) / 2
};
SetLinePosition();
textBoxElement.Measure(new Size(Double.PositiveInfinity, Double.PositiveInfinity));
Canvas.SetLeft(textBoxElement, textCenterPoint.X - textBoxElement.DesiredSize.Width / 2);
Canvas.SetTop(textBoxElement, textCenterPoint.Y - textBoxElement.DesiredSize.Height / 2);
return;
}
else
{
return;
}
}
this.lineElement.Point1 = roundCenter;
Point centerPoint1, centerPoint2, endPoint11, endPoint12, endPoint21, endPoint22;
//切线斜率
double k2 = 0;
{
k2 = k1;
double xOffset = this.ArrowSize.Height / (Math.Sqrt(1 + k2 * k2));
double xTemp, yTemp;
#region 第一个点
xTemp = this.EndPointX + xOffset;
yTemp = k2 * (xTemp - this.EndPointX) + this.EndPointY;
centerPoint1 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
#region 第二个点
xTemp = this.EndPointX - xOffset;
yTemp = k2 * (xTemp - this.EndPointX) + this.EndPointY;
centerPoint2 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
k2 = (-1) / k1;
xOffset = this.ArrowSize.Width / (Math.Sqrt(1 + k2 * k2));
#region 第一个点对应的两个箭头端点
xTemp = centerPoint1.X + xOffset;
yTemp = k2 * (xTemp - centerPoint1.X) + centerPoint1.Y;
endPoint11 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
xTemp = centerPoint1.X - xOffset;
yTemp = k2 * (xTemp - centerPoint1.X) + centerPoint1.Y;
endPoint12 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
#region 第二个点对应的两个箭头端点
xTemp = centerPoint2.X + xOffset;
yTemp = k2 * (xTemp - centerPoint2.X) + centerPoint2.Y;
endPoint21 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
xTemp = centerPoint2.X - xOffset;
yTemp = k2 * (xTemp - centerPoint2.X) + centerPoint2.Y;
endPoint22 = new Point(Math.Round(xTemp, 4), Math.Round(yTemp, 4));
#endregion
//小弧
#region 永远找和圆心距离近的那组点
{
double d1 = (endPoint11.X - roundCenter.X) * (endPoint11.X - roundCenter.X) + (endPoint11.Y - roundCenter.Y) * (endPoint11.Y - roundCenter.Y);
double d2 = (endPoint21.X - roundCenter.X) * (endPoint21.X - roundCenter.X) + (endPoint21.Y - roundCenter.Y) * (endPoint21.Y - roundCenter.Y);
//if (this.LineSweepDirection== SweepDirection.Clockwise)
if (d1 < d2)
{
this.arrowStartElement.StartPoint = endPoint11;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(lineElement.Point2);
this.arrowElement.Points.Add(endPoint12);
}
else
{
this.arrowStartElement.StartPoint = endPoint21;
this.arrowElement.Points.Clear();
this.arrowElement.Points.Add(lineElement.Point2);
this.arrowElement.Points.Add(endPoint22);
}
}
#endregion
}
#endregion
textBoxElement.Measure(new Size(Double.PositiveInfinity, Double.PositiveInfinity));
Canvas.SetLeft(textBoxElement, textCenterPoint.X - textBoxElement.DesiredSize.Width / 2);
Canvas.SetTop(textBoxElement, textCenterPoint.Y - textBoxElement.DesiredSize.Height / 2);
}
