/********************************************************
* To check whether 2 lines segments have an intersection
*********************************************************/
public bool IntersectedWith(CLineSegment line)
{
float x1 = this.m_startPoint.X;
float y1 = this.m_startPoint.Y;
float x2 = this.m_endPoint.X;
float y2 = this.m_endPoint.Y;
float x3 = line.m_startPoint.X;
float y3 = line.m_startPoint.Y;
float x4 = line.m_endPoint.X;
float y4 = line.m_endPoint.Y;
float de = (y4 - y3) * (x2 - x1) - (x4 - x3) * (y2 - y1);
//if de<>0 then //lines are not parallel
if (Math.Abs(de - 0) > ConstantValue.SmallValue) //not parallel
{
float ua = ((x4 - x3) * (y1 - y3) - (y4 - y3) * (x1 - x3)) / de;
float ub = ((x2 - x1) * (y1 - y3) - (y2 - y1) * (x1 - x3)) / de;
if ((ua > 0) && (ua < 1) && (ub > 0) && (ub < 1))
{
return(true);
}
else
{
return(false);
}
}
else //lines are parallel
{
return(false);
}
}
/***To check whether the point is in a line segment***/
public bool InLine(CLineSegment lineSegment)
{
bool bInline = false;
float Ax, Ay, Bx, By, Cx, Cy;
Bx = lineSegment.EndPoint.X;
By = lineSegment.EndPoint.Y;
Ax = lineSegment.StartPoint.X;
Ay = lineSegment.StartPoint.Y;
Cx = this.m_dCoordinate_X;
Cy = this.m_dCoordinate_Y;
float L = lineSegment.GetLineSegmentLength();
float s = Math.Abs(((Ay - Cy) * (Bx - Ax) - (Ax - Cx) * (By - Ay)) / (L * L));
if (Math.Abs(s - 0) < ConstantValue.SmallValue)
{
if ((SamePoints(this, lineSegment.StartPoint)) || (SamePoints(this, lineSegment.EndPoint)))
{
bInline = true;
}
else if ((Cx < lineSegment.GetXmax()) && (Cx > lineSegment.GetXmin()) && (Cy < lineSegment.GetYmax()) && (Cy > lineSegment.GetYmin()))
{
bInline = true;
}
}
return(bInline);
}
/***Check whether this line is in a longer line***/
public bool InLine(CLineSegment longerLineSegment)
{
bool bInLine = false;
if ((m_startPoint.InLine(longerLineSegment)) && (m_endPoint.InLine(longerLineSegment)))
{
bInLine = true;
}
return(bInLine);
}
/********************************************************
To check whether 2 lines segments have an intersection
*********************************************************/
public bool IntersectedWith(CLineSegment line)
{
float x1 = this.m_startPoint.X;
float y1 = this.m_startPoint.Y;
float x2 = this.m_endPoint.X;
float y2 = this.m_endPoint.Y;
float x3 = line.m_startPoint.X;
float y3 = line.m_startPoint.Y;
float x4 = line.m_endPoint.X;
float y4 = line.m_endPoint.Y;
float de = (y4 - y3) * (x2 - x1) - (x4 - x3) * (y2 - y1);
//if de<>0 then //lines are not parallel
if (Math.Abs(de - 0) > ConstantValue.SmallValue) //not parallel
{
float ua = ((x4 - x3) * (y1 - y3) - (y4 - y3) * (x1 - x3)) / de;
float ub = ((x2 - x1) * (y1 - y3) - (y2 - y1) * (x1 - x3)) / de;
if ((ua > 0) && (ua < 1) && (ub > 0) && (ub < 1))
return true;
else
return false;
}
else //lines are parallel
return false;
}
/************************************************
* Offset the line segment to generate a new line segment
* If the offset direction is along the x-axis or y-axis,
* Parameter is true, other wise it is false
* ***********************************************/
public CLineSegment OffsetLine(float distance, bool rightOrDown)
{
//offset a line with a given distance, generate a new line
//rightOrDown=true means offset to x incress direction,
// if the line is horizontal, offset to y incress direction
CLineSegment line;
CPoint2D newStartPoint = new CPoint2D();
CPoint2D newEndPoint = new CPoint2D();
float alphaInRad = this.GetLineAngle(); // 0-PI
if (rightOrDown)
{
if (this.HorizontalLine()) //offset to y+ direction
{
newStartPoint.X = this.m_startPoint.X;
newStartPoint.Y = this.m_startPoint.Y + distance;
newEndPoint.X = this.m_endPoint.X;
newEndPoint.Y = this.m_endPoint.Y + distance;
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //offset to x+ direction
{
if (Math.Sin(alphaInRad) > 0)
{
newStartPoint.X = (float)(m_startPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //sin(FalphaInRad)<0
{
newStartPoint.X = (float)(m_startPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
}
}//{rightOrDown}
else //leftOrUp
{
if (this.HorizontalLine()) //offset to y directin
{
newStartPoint.X = m_startPoint.X;
newStartPoint.Y = m_startPoint.Y - distance;
newEndPoint.X = m_endPoint.X;
newEndPoint.Y = m_endPoint.Y - distance;
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //offset to x directin
{
if (Math.Sin(alphaInRad) >= 0)
{
newStartPoint.X = (float)(m_startPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(
newStartPoint, newEndPoint);
}
else //sin(FalphaInRad)<0
{
newStartPoint.X = (float)(m_startPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
}
}
return line;
}
/***Check whether this line is in a longer line***/
public bool InLine(CLineSegment longerLineSegment)
{
bool bInLine = false;
if ((m_startPoint.InLine(longerLineSegment)) && (m_endPoint.InLine(longerLineSegment)))
bInLine = true;
return bInLine;
}
/***To check whether the point is in a line segment***/
public bool InLine(CLineSegment lineSegment)
{
bool bInline = false;
float Ax, Ay, Bx, By, Cx, Cy;
Bx = lineSegment.EndPoint.X;
By = lineSegment.EndPoint.Y;
Ax = lineSegment.StartPoint.X;
Ay = lineSegment.StartPoint.Y;
Cx = this.m_dCoordinate_X;
Cy = this.m_dCoordinate_Y;
float L = lineSegment.GetLineSegmentLength();
float s = Math.Abs(((Ay - Cy) * (Bx - Ax) - (Ax - Cx) * (By - Ay)) / (L * L));
if (Math.Abs(s - 0) < ConstantValue.SmallValue)
{
if ((SamePoints(this, lineSegment.StartPoint)) || (SamePoints(this, lineSegment.EndPoint)))
bInline = true;
else if ((Cx < lineSegment.GetXmax()) && (Cx > lineSegment.GetXmin()) && (Cy < lineSegment.GetYmax()) && (Cy > lineSegment.GetYmin()))
bInline = true;
}
return bInline;
}
/************************************************
* Offset the line segment to generate a new line segment
* If the offset direction is along the x-axis or y-axis,
* Parameter is true, other wise it is false
* ***********************************************/
public CLineSegment OffsetLine(float distance, bool rightOrDown)
{
//offset a line with a given distance, generate a new line
//rightOrDown=true means offset to x incress direction,
// if the line is horizontal, offset to y incress direction
CLineSegment line;
CPoint2D newStartPoint = new CPoint2D();
CPoint2D newEndPoint = new CPoint2D();
float alphaInRad = this.GetLineAngle(); // 0-PI
if (rightOrDown)
{
if (this.HorizontalLine()) //offset to y+ direction
{
newStartPoint.X = this.m_startPoint.X;
newStartPoint.Y = this.m_startPoint.Y + distance;
newEndPoint.X = this.m_endPoint.X;
newEndPoint.Y = this.m_endPoint.Y + distance;
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //offset to x+ direction
{
if (Math.Sin(alphaInRad) > 0)
{
newStartPoint.X = (float)(m_startPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //sin(FalphaInRad)<0
{
newStartPoint.X = (float)(m_startPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X + Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
}
} //{rightOrDown}
else //leftOrUp
{
if (this.HorizontalLine()) //offset to y directin
{
newStartPoint.X = m_startPoint.X;
newStartPoint.Y = m_startPoint.Y - distance;
newEndPoint.X = m_endPoint.X;
newEndPoint.Y = m_endPoint.Y - distance;
line = new CLineSegment(newStartPoint, newEndPoint);
}
else //offset to x directin
{
if (Math.Sin(alphaInRad) >= 0)
{
newStartPoint.X = (float)(m_startPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y + Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(
newStartPoint, newEndPoint);
}
else //sin(FalphaInRad)<0
{
newStartPoint.X = (float)(m_startPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newStartPoint.Y = (float)(m_startPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
newEndPoint.X = (float)(m_endPoint.X - Math.Abs(distance * Math.Sin(alphaInRad)));
newEndPoint.Y = (float)(m_endPoint.Y - Math.Abs(distance * Math.Cos(alphaInRad)));
line = new CLineSegment(newStartPoint, newEndPoint);
}
}
}
return(line);
}